World scientific mathematics 2014

2014Catalogue

C o n n e c t i n g G r e a t M i n d s

MATHEMATICS

HighlightsHighlightsHighlights Mathematics Catalogue 2014

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Algebra & Number Theory ................................... 4

Analysis & Differential Equations......................... 7

Approximation Theory........................................ 11

Coding Theory & Cryptography ......................... 11

Combinatorics & Graph Theory .......................... 11

Complex Analysis................................................. 13

Fluid Mechanics ................................................... 13

General Mathematics.......................................... 14

Geometry & Topology......................................... 16

Mathematical Modeling ..................................... 19

Mathematical Physics .......................................... 22

Numerical Analysis &

Computational Mathematics.............................. 26

Optimization & Control Theory.......................... 28

Probability & Statistics ........................................ 29

Stochastic Analysis............................................... 33

Journals........................................................... 34-37

Proceedings ......................................................... 38

Title Index ............................................................ 39

Author Index ....................................................... 40

Order From .......................................................... 42

Imperial College PressICPwww.icpress.co.uk

Mathematics Catalogue 2014

4

ALGEBRA & NUMBER THEORY

LINEAR ALGEBRAPure & Appliedby Edgar G Goodaire (Memorial University, Canada)

This is a matrix-oriented approach to linear algebra that covers the traditional material of the courses generally known as “Linear Algebra I” and “Linear Algebra II” throughout North America, but it also includes more advanced topics such as the pseudoinverse and the singular value decomposition that make it appropriate for a more advanced course as well.

Contents: Euclidean n-space; Matrices and Linear Equations; Determinants and Eigenvalues; Vector Spaces; Linear Transformations; Orthogonality; The Spectral Theorem.

Readership: Undergraduates in mathematics.

800pp May 2014978-981-4508-36-0 US$136 £90978-981-4508-37-7(pbk) US$88 £58

CONTEXT-FREE LANGUAGES AND PRIMITIVE WORDSby Pál Dömösi (Debrecen University, Hungary), Sándor Horváth (Eötvös Loránd University, Hungary) & Masami Ito (Kyoto Sangyo University, Japan)

In this book, the authors deal with properties of primitive words over a non-primitive alphabet, the language consisting of all primitive words and related languages. Moreover, some decidable and undecidable problems with respect to the above languages are discussed as well. As another try, a search for a non-phrase structure grammar which generates Q is performed.

Contents: Combinatorial Properties of Words and Languages; Iteration Lemmata; Other Characterizations of Context-Free Languages; Palindromic, Slender and Polyslender Languages; Further Combinatorial Investigations on Primitive Words; Some Properties of the Language of Primitive Words; Primitive Words in Languages; Generating Primitive Words; Decidability, Roots and Multisets; Context-Free Languages and Nonprimitive Words; Marcus Contextual Grammars and Primitive Words.

Readership: Researchers, lecturers, senior undergraduates and graduate students in theoretical computer science.

200pp Apr 2014978-981-4271-66-0 US$73 £51

GALOIS ALGEBRAS AND THEIR REPRESENTATIONSby Vyacheslav Futorny (University of São Paulo, Brazil) & Serge Ovsienko(Kiev University, Ukraine)

The book provides a comprehensive overview of the theory of Galois algebras and their representations developed by the authors. It gives a unique treatment of the theory of Gelfand–Tsetlin modules for finite W-algebras, including the universal enveloping algebra of gl(n), a new treatment of an analog of the Gelfand–Kirillov Conjecture for finite W-algebras, and a description of important new theory of Galois algebras.

The book will be of interests to those who specialize in Lie theory, Representation theory and Ring theory.

Contents: Skew Monoid Rings; Category of Balanced Bimodules and Hecke Algebras; Galois Rings and Galois Orders; Examples; Gelfand–Tsetlin Modules Over Galois Rings; Fibers of Characters; Gelfand–Kirillov Conjecture for Galois Rings; Finite W-Algebras of Type A as Galois Rings; Gelfand–Tsetlin Modules Over Finite W-Algebras; Gelfand–Kirillov Conjecture for Finite W-Algebras; Example of the Universal Enveloping Algebra of gl(n).

200pp Feb 2014978-981-4299-22-0 US$68 £42

COMPLEX ANALYSIS IN FREE PROBABILITY THEORYby Hari Bercovici & John Williams (Indiana University, USA)

The book will describe those results in free probability which rely on analytic functions of one variable. These results include free versions of many known results about the addition and multiplication of random variables, including characterizations of infinite divisibility and weak limit theorems. The complex analysis necessary for these developments will be presented to the extent that it exceeds standard graduate presentations of the subject.

Contents: Free Convolutions; Free Multiplicative Convolution on the Circle; Free Additive Convolution on the Real Line; Free Multiplicative Convolution on the Positive Half Line; Further Developments.

Readership: Graduate students and researchers interested in operator algebra, complex analysis and probability and statistics.

250pp Feb 2014978-981-4335-56-0 US$68 £42

:: TextbookCOMPUTATIONAL AND ALGORITHMIC LINEAR ALGEBRA AND N-DIMENSIONAL GEOMETRYby Katta G Murty (University of Michigan, Ann Arbor, USA)

These are classical subjects on which there are many mathematics books in theorem-proof style, but this unique volume has its focus on developing the mathematical modeling as well as computational and algorithmic skills in students at this level. The explanations in this book are detailed, lucid, and supported with numerous well-constructed examples to capture the interest and encourage the student to master the material.

Contents: Methods for Formulating Real World Problems Using Systems of Simultaneous Linear Equations; Algorithms for Analyzing and Solving These Models; Fundamental Concepts in N-Dimensional Geometry, Matrices and Determinants; Eigen Values and Eigen Vectors and Their Importance; Software Systems for Linear Algebra Problems.

Readership: Undergraduate students in linear algebra and n-dimensional geometry.

572pp Feb 2014978-981-4366-62-5 US$134 £88978-981-4366-63-2(pbk) US$78 £51

Series on Number Theory and Its Applications - Vol. 3MULTI-DIMENSIONAL LANGLANDS FUNCTORIALITY PRINCIPLENotes on M M Kapranov’s Workby (Yeditepe University, Istanbul, Turkey)

This book aims at providing an introductory, detailed and up-to-date study of Kapranov’s seminal work, “Analogies between topological quantum field theory and Langlands correspondence”, published in 1995, which is the first paper in literature discussing the formal framework and the formulation of higher-dimensional Langlands correspondence, together with closely related recent works of Kazhdan, Parshin and others.

Contents: Introduction — Review of Langlands Functoriality Principle; Lang Density Theorem; Formulation of Non-Abelian Multi-dimensional Reciprocity Laws; Review of K-Theoretic Class Field Theory; Kapranov Reciprocity Principle; Kapranov Functoriality Principle.

Readership: Graduate students and mathematicians interested in number theory and mathematical physics.

200pp Feb 2014978-981-283-831-5 US$65 £45

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NEW DEVELOPMENTS IN THE ADDITIVE THEORY OF PRIME NUMBERSby Jianya Liu & Tao Zhan (Shandong University, China)

The Waring–Goldbach problem seeks to represent positive integers satisfying necessary congruence conditions by powers of primes. The circle method of Hardy and Littlewood in combination with the estimates of Vinogadov for exponential sums over primes gives an affirmative answer to the general Waring–Goldbach problem. In recent years, new ideas using the circle method, sieves, and exponential sums have been incorporated into the Waring–Goldbach problem, encouraging remarkable advances. The purpose of this book is to introduce some of these new ideas, illustrated by dealing with the Waring–Goldbach problem for lower degrees.

Contents: The Riemann Zeta-Function and Dirichlet L-Functions; Sums of Two Squares, and of Two Squares of Primes; The Circle Method in the Waring–Goldbach Problem; The Large Sieve; The Major Arcs; Exponential Sums Over Primes; Sums of Squares of Primes; The Major Arcs, II; Introduction to Sieve Methods; Exponential Sums Over Primes, II; Sums of Cubes of Primes; Sums of Forth Powers of Primes; Sums of Fifth Powers of Primes; High Powers.

Readership: Researchers and graduate students in number theory.

200pp Feb 2014978-981-277-592-4 US$73 £51

Series on Number Theory and Its ApplicationsCONTRIBUTIONS TO THE THEORY OF ZETA-FUNCTIONSThe Modular Relation Supremacyby Shigeru Kanemitsu & Haruo Tsukada (Kinki University, Japan)

This volume provides a systematic survey of almost all the equivalent assertions to the functional equations — zeta symmetry — which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions.

This volume aims to keep a record of the 150-year-old heritage starting from Riemann on zeta-functions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm.

Readership: Graduate students and researchers in functional equations and special functions.

280pp Nov 2013978-981-4449-61-8 US$64 £42

FIXED POINT THEOREMS AND THEIR APPLICATIONSby Ioannis Farmakis & Martin Moskowitz (City University of New York, USA)

This is the only book that deals comprehensively with fixed point theorems overall of mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests. The book is written for graduate students and professional mathematicians and could be of interest to physicists, economists and engineers.

Readership: Graduate students and professionals in analysis, approximation theory, algebra and geometry.

240pp Oct 2013978-981-4458-91-7 US$68 £45

Monographs in Number Theory - Vol. 7THE THEORY OF MULTIPLE ZETA VALUES WITH APPLICATIONS IN COMBINATORICSby Minking Eie (National Chung Cheng University, Taiwan)

This is the first book on the theory of multiple zeta values since its birth around 1994. Readers will find that the shuffle products of multiple zeta values are applied to complicated counting problems in combinatorics, and numerous interesting identities are produced that are ready to be used. This will provide a powerful tool to deal with problems in multiple zeta values, both in evaluations and shuffle relations. The volume will benefit graduate students doing research in number theory.

Readership: Graduate students and researchers in number theory.

312pp Jul 2013978-981-4472-63-0 US$99 £65

:: TextbookLECTURES ON THE THEORY OF GROUP PROPERTIES OF DIFFERENTIAL EQUATIONSby L V Ovsyannikov (Lavrentyev Institute of Hydrodynamics, Russia) & edited by Nail H Ibragimov (Blekinge Institute of Technology, Sweden)

Contents : One-Parameter Cont inuous Transformation Groups Admitted by Differential Equat ions: One-Parameter Cont inuous Transformation Group; Infinitesimal Operator of the Group; Invariants and Invariant Manifolds; Theory of Prolongation; Groups Admitted by Differential Equations; Lie Algebra of Operators; Lie Algebras and Local Lie Groups: Lie Algebra; Adjoint Algebra; Local Lie Group; Subgroup, Normal Subgroup and Factor Group; Inner Automorphisms of a Group and of Its Lie Algebra; Local Lie Group of Transformations; Group Invariant Solutions of Differential Equations: Invariants of the Group GN

r; Invariant Manifolds; Invariant Solutions of Differential Equations; Classification of Invariant Solutions; Partially Invariant Solutions; Reduction of Partially Invariant Solutions; Some Problems.

Readership: Professional mathematics researchers and graduate students.

156pp Jul 2013978-981-4460-81-1 US$38 £25

UNDERGRADUATE CONVEXITYFrom Fourier and Motzkin to Kuhn and Tuckerby Niels Lauritzen (Aarhus University, Denmark)

Based on undergraduate teaching to students in computer science, economics and mathematics at Aarhus University, this is an elementary introduction to convex sets and convex functions with emphasis on concrete computations and examples.

Contents: Fourier–Motzkin Elimination ; Affine Subspaces; Convex Subsets; Polyhedra; Computations with Polyhedra; Closed Convex Subsets and Separating Hyperplanes; Convex Functions; Differentiable Functions of Several Variables; Convex Functions of Several Variables; Convex Optimization; Appendices: Analysis; Linear (In)dependence and the Rank of a Matrix.

Readership: Undergraduates focusing on convexity and optimization.

300pp Mar 2013978-981-4412-51-3 US$78 £51978-981-4452-76-2(pbk) US$38 £25

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ICP Selected Papers - Vol. 3THE SELECTED WORKS OF GEORGE E ANDREWS(With Commentary)by George E Andrews (Pennsylvania State University, USA) & edited by Andrew V Sills (Georgia Southern University, USA)

George E Andrews is the Evan Pugh Professor of Mathematics at Pennsylvania State University. He is also President of the American Mathematical Society (AMS) for the period of 2009–2011. He is a world pioneer in partitions and q-series and his contributions include more than 250 scientific papers and several books on number theory and the theory of partitions. In 1976 he discovered Ramanujan’s Lost Notebook, a finding which changed the shape of modern q-series research.

Contents: The Geometry of Numbers; q-Series; Partition Identities; Plane Partitions; Combinatorics, Fibonacci Numbers, and Computers; Number Theory; Surveys; Education, History, etc.

Readership: Graduate students and researchers in number theory, combinatorics and special functions.

1060pp Dec 2012978-1-84816-666-0 US$298 £185

NUMBER THEORY AND ITS APPLICATIONSby Fuhuo Li (Sanmenxia SuDa Transportation Energy Saving Technology Co., Ltd, China), Nianliang Wang (Shangluo University, China) & Shigeru Kanemitsu (Kinki University, Japan)

This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon — the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state. For example, the Euler function is treated in several different places, as the number of generators of a finite cyclic group, as one counting the order of the multiplicative group of reduced residue classes modulo q, and as the order and degree of the Galois group of the cyclotomic field, respectively.

Contents: Elements of Algebra; Rudiments of Algebraic Number Theory; Arithmetical Functions and Stieltjes Integrals; Quadratic Reciprocity Through Duality; Around Dirichlet L-Functions; Control Systems and Number Theory.

Readership: Advanced undergraduate students, graduate students and researchers interested in algebra through number-theoretic examples, number-theoretic control systems, etc.

208pp Nov 2012978-981-4425-63-6 US$52 £34

POLYGROUP THEORY AND RELATED SYSTEMSby Bijan Davvaz (Yazd University, Iran)

This monograph is devoted to the study of Polygroup Theory. It begins with some basic results concerning group theory and algebraic hyperstructures, which represent the most general algebraic context, in which reality can be modeled. Most results on polygroups are collected in this book. Moreover, this monograph is the first book on this theory. The volume is highly recommended to theoreticians in pure and applied mathematics.

Readership: Graduate students and researchers in algebraic hyperstructures and applications.

208pp Sep 2012978-981-4425-30-8 US$44 £29978-981-4425-31-5(ebook) US$57 £38

:: BestsellerFIGURATE NUMBERSby Elena Deza (Moscow State Pedagogical University, Russia) & Michel Marie Deza (Ecole Normale Superieure, Paris, France)

Figurate numbers have a rich history with many applications. The main purpose of this book is to provide a thorough and complete presentation of the theory of figurate numbers, giving much of their properties, facts and theorems with full proofs. This book is the first of this topic written in unified systematic way. It also contains many exercises with solutions.

Contents: Plane Figurate Numbers; Space Figurate Numbers; Multidimensional Figurate Numbers; Areas of Number Theory including Figurate Numbers; Fermat’s Polygonal Number Theorem; Zoo of Figurate-related Numbers.

Readership: Advanced undergraduate, graduate students and researchers in number theory.

476pp Jan 2012978-981-4355-48-3 US$155 £102978-981-4355-49-0(ebook) US$202 £133

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HOMOLOGICAL ALGEBRAby Marco Grandis (Università di Genova, Italy)

In Strongly Non-Abelian SettingsWe propose here a study of ‘semiexact’ and ‘homological’ categories as a basis for a generalised homological algebra. Our aim is to extend the homological notions to deeply non-abelian situations, where satellites and spectral sequences can still be studied.

Contents: Introduction; Semiexact categories; Homological Categories; S u b q u o t i e n t s , H o m o l o g y a n d Exact Couples; Satellites; Universal Constructions; Applications to Algebraic Topology; Homological Theories and Biuniversal Models; Appendix A. Some Points of Category Theory.

Readership: Graduate students, professors and researchers in pure mathematics, in particular category theory and algebraic topology.

356pp Jan 2013978-981-4425-91-9 US$76 £50978-981-4425-92-6(ebook) US$99 £65

The Interplay of Homology with Distributive Lattices and Orthodox Semigroups

In this book we want to explore aspects of coherence in homological algebra, that already appear in the classical situation of abelian groups or abelian categories.

Contents: Introduction; Coherence and Models in Homological Algebra; Puppe-Exact Categories; Involutive Categories; Categories of Relations as RE-Categories; Theories and Models; Homological Theories and Their Universal Models; Appendix A: Some Points of Category Theory; Appendix B: A Proof for the Universal Exact System.

Readership: Graduated students in Mathematics and professional researchers in mathematics.

384pp Jun 2012978-981-4407-06-9 US$128 £84978-981-4407-07-6(ebook) US$166 £109

7

ANALYSIS & DIFFERENTIAL EQUATIONS

:: Bestselling TextbookGALOIS’ THEORY OF ALGEBRAIC EQUATIONSby Jean-Pierre Tignol (Université Catholique de Louvain, Belgium)

“Jean-Pierre Tignol has written a marvelous book. Anyone who wants to learn about the history and methodology of the centuries-long effort to solve algebraic equations should study it carefully. Not only does the author provide a detailed history of the struggles to solve equations, but at each stage he provides enough of the mathematical content so that the mathematically sophisticated reader can actually learn the details of the various solution procedures.”

Mathematical Reviews

Contents: Quadratic Equations; Cubic Equations; Quartic Equations; The Creation of Polynomials; A Modern Approach to Polynomials; Alternative Methods for Cubic and Quartic Equations; Roots of Unity; Symmetric Functions; The Fundamental Theorem of Algebra; Lagrange; Vandermande; Gauss on Cyclotomic Equations; Ruffini and Abel on General Equations; Galois.

Readership: Upper level undergraduates, graduate students and mathematicians in algebra.

348pp Apr 2001978-981-02-4541-2(pbk) US$52 £34

:: Classic TitleTHE GOLDEN RATIO AND FIBONACCI NUMBERSby Richard A Dunlap (Dalhousie University, Canada)

“This attractive and carefully written book addresses the general reader with interest in mathematics and its application to the physical and biological sciences … this one will make a valuable addition to academic and personal libraries …”

The Fibonacci Quarterly

Contents: Basic Properties of the Golden Ratio; Geometric Problems in Two Dimensions; Geometric Problems in Three Dimensions; Fibonacci Numbers; Lucas Numbers and Generalized Fibonacci Numbers; Continued Fractions and Rational Approximants; Generalized Fibonacci Representation Theorems; Optimal Spacing and Search Algorithms; Commensurate and Incommensurate Projections; Penrose Tilings; Quasicrystallography; Biological Applications; Construction of the Regular Pentagon; The First 100 Fibonacci and Lucas Numbers; Relationships Involving the Golden Ratio and Generalized Fibonacci Numbers.

Readership: Applied mathematicians.

172pp Dec 1997978-981-02-3264-1 US$58 £38978-981-238-630-4(ebook) US$76 £50

CONCISE CALCULUSby Sheng Gong (Deceased) & Youhong Gong(University of Science and Technology of China, China)

This book is based on Professor Sheng Gong’s 42 years of teaching experience along with a touch of applications of Calculus in other fields such as computer science, engineering. Science students will benefit from the unique way of illustrating theorems in Calculus and also perceive Calculus as a whole instead of a combination of separate topics. The practical examples provided in the book bring motivation to students to learn Calculus.

Contents: Intuitive Introduction to Basic Concepts; Techniques of Calculations; Some Applications; Differential Equations; Analytic Geometry; Multiple Integrals and Partial Derivatives; Line Integrals, Surface Integrals and Exterior Products; Functions of Several Variables; Precise Definition of Basic Concepts; Infinite Series and Improper Integrals; Fourier Series and Fourier Integrals; Laplace Transform; Manifolds.

Readership: Undergraduate students in mathematics, physics, engineering and computer science.

550pp Mar 2014978-981-4291-48-4 US$88 £58978-981-4291-49-1(pbk) US$48 £32

HOW TO MEASURE THE INFINITENumerosities and Nonstandard Analysisby Vieri Benci & Mauro Di Nasso (Università di Pisa, Italy)

This book is the result of a scientific collaboration among different perspectives of mathematics. The first author is a leading figure in variational and topological methods in nonlinear analysis, and has cultivated a broad range of interests in applications of mathematics; while the second author is a specialist in mathematical logic and in the foundations of nonstandard analysis.

Contents: Cardinal and Ordinal Numbers: An Overview; Numerosities of Infinite Sets; The -Calculus; The -Theory; Nonstandard Analysis; Foundational Aspects.

Readership: Advanced undergraduate and graduate students in mathematics and philosophy.

200pp Feb 2014978-981-283-637-3 US$65 £45

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Notable BacklistPROBLEMS OF NUMBER THEORY IN MATHEMATICAL COMPETITIONSHong-Bing Yu (Suzhou University, China) & translated by Lei Lin (East China Normal University, China)

DOING MATHEMATICSConvention, Subject, Calculation, AnalogyMartin H Krieger (University of Southern California, USA)

ANALYTIC NUMBER THEORYAn Introductory Course(Reprinted 2009)Paul T Bateman & Harold G Diamond (University of Illinois at Urbana-Cham-paign)

:: TextbookSeries on Partial Differential Equations and ApplicationsSOLUTION SET OF SEMILINEAR ELLIPTIC EQUATIONSGlobal Bifurcation and Exact Multiplicityby Junping Shi (College of William & Mary, USA)

This volume provides a unified approach to the problem of exact multiplicity and global bifurcation of semilinear elliptic equations, demonstrating applications of modern bifurcation theory to important nonlinear equations in physics, chemistry and biology.

Contents: Bifurcation Theory for PDE; Imperfect Bifurcation; Solution Set and Global Bifurcation Diagrams for General Bounded Domains; Exact Multiplicity and Global Bifurcation Diagrams for Spherical Domains; Properties of Solutions in Whole Space and Half Space; Solution Set for Symmetric Domains; Singularly Perturbed Problems.

Readership: For researchers and graduate students in nonlinear partial differential equations; applied mathematics; mathematical physics; mathematical biology; also in the fields of physics, biology, chemistry, material sciences, chemical engineering, marine sciences, ecology.

250pp Jun 2014978-981-277-594-8 US$65 £45


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:: TextbookMEASURE THEORY AND FUNCTIONAL ANALYSISby Nik Weaver (Washington University in St. Louis, USA)

This book provides an introduction to measure theory and functional analysis suitable for a beginning graduate course, and is based on notes the author had developed over several years of teaching such a course. It is unique in placing special emphasis on the separable setting, which allows for a simultaneously more detailed and more elementary exposition, and for its rapid progression into advanced topics in the spectral theory of families of self-adjoint operators. The author’s notion of measurable Hilbert bundles is used to give the spectral theorem a particularly elegant formulation not to be found in other textbooks on the subject.

Contents: Topological Spaces; Measure and Integration; Banach Spaces; Dual Banach Spaces; Spectral Theory.

Readership: Graduates students in mathematics (pure and applied) in their first or second year, graduate students in physics or engineering, and economics.

210pp Aug 2013978-981-4508-56-8 US$88 £58

BOCHNER–RIESZ MEANS ON EUCLIDEAN SPACESby Shanzhen Lu (Beijing Normal University, China) & Dunyan Yan(University of Chinese Academy of Sciences, China)

This book mainly deals with the Bochner–Riesz means of multiple Fourier integral and series on Euclidean spaces. It aims to give a systematical introduction to the fundamental theories of the Bochner–Riesz means and important achievements attained in the last 50 years.

Contents: An Introduction to Multiple Fourier Series; Bochner–Riesz Means of Multiple Fourier Integral; Bochner–Riesz Means of Multiple Fourier Series; The Conjugate Fourier Integral and Series.

Readership: Graduate students and researchers in mathematics.

350pp Aug 2013978-981-4458-76-4 US$88 £58978-981-4458-77-1(ebook) US$114 £75

:: TextbookSeries on Applied Mathematics - Vol. 21ORDINARY DIFFERENTIAL EQUATIONS WITH APPLICATIONS2nd Editionby Sze-Bi Hsu (National Tsing Hua University, Taiwan)

Review of the First Edition:

“The book under review is a well-written textbook on ODE, suitable for advanced undergraduate or first year graduate students in Mathematics or Physical Sciences … The abundance of examples from physical and biological sciences and engineering to show the applications of the theorems presented in the text adds to the value of the book.”

Zentralblatt MATH

This new edition contains corrections and suggestions from the various readers and users. A new chapter on Monotone Dynamical Systems is added to take into account the new developments in ordinary differential equations and dynamical systems.

Readership: Graduate students in mathematics, applied mathematics, and engineering.

312pp Jun 2013978-981-4452-90-8 US$54 £36

World Scientific Series on Nonlinear Science, Series A - Vol. 86ELEMENTS OF MATHEMATICAL THEORY OF EVOLUTIONARY EQUATIONS IN BANACH SPACESby Anatoly M Samoilenko & Yuriy V Teplinsky (Kamyanets-Podilsky National University, Ukraine)

The book contains new mathematical results that will be useful towards advances in nonlinear mechanics and theoretical physics.

Contents: Reducibility Problems for Difference Equations; Invariant Tori of Difference Equations in the Space M; Periodic Solutions of Difference Equations. Extention of Solutions; Countable-Point Boundary-Value Problems for Nonlinear Differential Equations.

Readership: Graduate students and researchers working in the field of analysis and differential equations.

408pp Jul 2013978-981-4434-82-9 US$88 £58978-981-4434-83-6(ebook) US$114 £75

:: TextbookLINEAR SECOND ORDER ELLIPTIC OPERATORSby Julián López-Gómez (Complutense University of Madrid, Spain)

Contents: The Minimum Principle; Classifying Supersolutions; Representation Theorems; Existence of Weak Solutions; Regularity of Weak Solutions; The Krein–Rutman Theorem; The Strong Maximum Principle; Properties of the Principal Eigenvalue; Principal Eigenvalues of Linear Weighted Boundary Value Problems.

Readership: Graduate students and researchers in analysis and differential equations, mathematical physics and mathematical biology.

356pp Apr 2013978-981-4440-24-0 US$56 £37

THE SEGAL-BARGMANN TRANSFORM ON EUCLIDEAN SPACE AND GENERALIZATIONSAn Introduction to Harmonic Analysis and Hilbert Spaces of Holomorphic Functionsby Gestur Olafsson (Louisiana State University, USA)

This is the only available textbook where all of those aspects of the theory are discussed. The first part of the text is on the level of advanced undergraduate students and beginning graduate students. The second half is more advanced and leads the reader into the theory of Hilbert spaces of holomorphic functions and abstract harmonic analysis.

Contents: Basic Analysis; The Segal-Bargmann Transform on V; Infinite Dimensional Analysis; Connection to Representation Theory; Riemannian Symmetric Spaces; The Heat Equation associated to Finite Reflection Groups.

Readership: Graduate students and researchers in analysis & differential equations and complex analysis.

300pp Feb 2014978-981-4277-50-1 US$65 £45

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Interdisciplinary Mathematical Sciences - Vol. 15RECENT ADVANCES IN APPLIED NONLINEAR DYNAMICS WITH NUMERICAL ANALYSISFractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulationsedited by Changpin Li (Shanghai University, China), Yujiang Wu(Lanzhou University, China) & Ruisong Ye (Shantou University, China)

Nonlinear dynamics is still a hot and challenging topic. In this edited book, we focus on fractional dynamics, infinite dimensional dynamics defined by the partial differential equation, network dynamics, fractal dynamics, and their numerical analysis and simulation.

Readership: Senior undergraduates, postgraduates and experts in nonlinear dynamics with numerical analysis.

416pp Jan 2013978-981-4436-45-8 US$114 £75978-981-4436-46-5(ebook) US$148 £98

A FIRST COURSE IN ANALYSISby Donald Yau (The Ohio State University at Newark, USA)

This book is an introductory text on real analysis for undergraduate students. The prerequisite for this book is a solid background in freshman calculus in one variable. The intended audience of this book includes undergraduate mathematics majors and students from other disciplines who use real analysis. Since this book is aimed at students who do not have much prior experience with proofs, the pace is slower in earlier chapters than in later chapters. There are hundreds of exercises, and hints for some of them are included.

Contents: Sets, Functions, and Real Numbers; Sequences; Series; Continuous Functions; Differentiation; Integration; Sequences and Series of Functions.

Readership: Undergraduates and graduate students in analysis.

208pp Jan 2013978-981-4417-85-3 US$48 £32978-981-4417-86-0(ebook) US$62 £42

FUNCTIONAL CALCULIby Carlos Bosch (Instituto Tecnológico Autónomo de México, México) & CharlesSwartz (New Mexico State University, USA)

This book contains an exposition of several such functional calculi.

Contents: Vector and Operator Valued Measures; Functions of a Self Adjoint Operator; Functions of Several Commuting Self Adjoint Operators; The Spectral Theorem for Normal Operators; Integrating Vector Valued Functions; An Abstract Functional Calculus; The Riesz Operational Calculus; Weyl’s Functional Calculus; Appendices: The Orlicz–Pettis Theorem; The Spectrum of an Operator; Self Adjoint, Normal and Unitary Operators; Sesquilinear Functionals; Tempered Distributions and the Fourier Transform.

Readership: Graduate students, mathematicians, physicists or engineers interested in functions of operators.

228pp Mar 2013978-981-4415-97-2 US$88 £58978-981-4415-98-9(ebook) US$114 £75

OBLIQUE DERIVATIVE PROBLEMS FOR ELLIPTIC EQUATIONSby Gary M Lieberman (Iowa State University, USA)

This book gives an up-to-date exposition on the theory of oblique derivative problems for elliptic equations. The modern analysis of shock reflection was made possible by the theory of oblique derivative problems developed by the author. Such problems also arise in many other physical situations such as the shape of a capillary surface and problems of optimal transportation. The author begins the book with basic results for linear oblique derivative problems and work through the theory for quasilinear and nonlinear problems. The final chapter discusses some of the applications. In addition, notes to each chapter give a history of the topics in that chapter and suggestions for further reading.

Readership: For the professional researcher in mathematics.

528pp Mar 2013978-981-4452-32-8 US$94 £62978-981-4452-33-5(ebook) US$122 £81

NAVIER-STOKES EQUATIONS IN PLANAR DOMAINSby Matania Ben-Artzi (Hebrew University of Jerusalem, Israel), Jean-Pierre Croisille(Université de Lorraine, France) & DaliaFishelov (Afeka Tel-Aviv Academic College of Engineering, Israel)

This volume deals with the classical Navier-Stokes system of equations governing the planar flow of incompressible, viscid fluid. It is a first-of-its-kind book, devoted to all aspects of the study of such flows, ranging from theoretical to numerical, including detailed accounts of classical test problems such as “driven cavity” and “double-driven cavity”.

Readership: Graduate students and researchers in applied mathematics (particularly computational fluid dynamics), partial differential equations, and mathematical physics (specifically nonlinear evolution equations).

316pp Mar 2013978-1-84816-275-4 US$98 £65978-1-84816-276-1(ebook) US$127 £85

:: TextbookPARTIAL DIFFERENTIAL EQUATIONSMethods, Applications and Theoriesby Harumi Hattori (West Virginia University, USA)

This volume is an introductory level textbook for partial differential equations (PDE’s) and suitable for a one-semester undergraduate level or two-semester graduate level course in PDE’s or applied mathematics.

Contents: First and Second Order Linear Equations — Preparation; Heat Equation; Wave Equation; Laplace Equation; First Order Equations Revisited; Fourier Series and Eigenvalue Problems; Separation of Variables in Higher Dimensions; More Separation of Variables; Fourier Transform; Laplace Transform; Higher Dimensional Problems — Other Approaches; Green’s Functions.

Readership: Undergraduate students in Math, Science, and Engineering.

392pp Jan 2013978-981-4407-56-4 US$68 £45


10

Series in Contemporary Applied Mathematics - Vol. 17 & 18HYPERBOLIC PROBLEMS (In 2 Volumes)Theory, Numerics and Applicationsedited by Tatsien Li (Fudan University, China) & Song Jiang (IAPCM, China)

This two-volume book is devoted to mathematical theory, numerics and applications of hyperbolic problems. It contains 80 original research and review papers which are written by leading researchers and promising young scientists, which cover a diverse range of multi-disciplinary topics addressing theoretical, modeling and computational issues arising under the umbrella of “Hyperbolic Partial Differential Equations”. It is aimed at mathematicians, researchers in applied sciences and graduate students.

Readership: PhD students and researchers in applied mathematics.

Set792pp Sep 2012978-981-4417-06-8 US$178 £117978-981-4417-09-9(ebook) US$231 £152

FUNCTIONAL EQUATIONS ON HYPERGROUPSby László Székelyhidi (University of Debrecen, Hungary)

This book is written for the interested reader who has open eyes for both functional equations and hypergroups, and who dares to enter a new world of ideas, a new world of methods — and, sometimes, a new world of unexpected difficulties.

Contents: Introduction; Polynomial Hypergroups in One Variable; Polynomial Hypergroups in Several Variables; Sturm-Liouville Hypergroups; Two-Point Support Hypergroups; Spectral Analysis and Synthesis on Polynomial Hypergroups; Spectral Analysis and Synthesis on Sturm-Liouville Hypergroups; Moment Problems on Hypergroups; Special Functional Equations on Hypergroups; Difference Equations on Polynomial Hypergroups; Stability Problems on Hypergroups.

Readership: Researchers and post-graduate students working in hypergroups.

212pp Sep 2012978-981-4407-00-7 US$98 £65978-981-4407-01-4(ebook) US$127 £85

:: Bestselling TextbookAPPLIED ANALYSISby John K Hunter & Bruno Nachtergaele (University of California, Davis, USA)

“The presentation is clear and proofs for most of the results used are given … The book is accessible to students from a wide variety of backgrounds and has as prerequisites only basic calculus, linear algebra and ordinary differential equations.”


Contents: Metric and Normed Spaces; Continuous Functions; The Contraction Mapping Theorem; Topological Spaces; Banach Spaces; Hilbert Spaces; Fourier Series; Bounded Linear Operators on a Hilbert Space; The Spectrum of Bounded Linear Operators; Linear Differential Operators and Green’s Functions; Distributions and the Fourier Transform; Measure Theory and Function Spaces; Differential Calculus and Variational Methods.

Readership: Graduate students in applied analysis.

456pp Feb 2001978-981-02-4191-9 US$125 £83978-981-270-543-3(pbk) US$70 £46

:: Classic TitleSPECIAL FUNCTIONSby Z X Wang & D R Guo (Peking University, China)

“The book is systematic, clear and to the point, as one would expect from Professor Wang’s style and personality. It is great news that the book is now being published in an English translation. It will benefit many students and research workers who do not read Chinese.”

Foreword by C N YangNobel Laureate

Contents: The Expansion of Functions in Infinite Series and Infinite Products; Linear Ordinary Differential Equations of the Second Order; The Gamma Function; Hypergeometric Function; Legendre Functions; Confluent Hypergeometric Functions; Bessel Functions; Weierstrass Elliptic Functions; Theta Functions; Jacobian Elliptic Functions; Lamé Functions and Mathieu Functions.

Readership: Mathematicians, physicists and engineers.

720pp Oct 1989978-9971-5-0659-9 US$128 £84978-9971-5-0667-4(pbk) US$58 £38978-981-277-936-6(ebook) US$166 £109

Mathematical Society of Japan Memoirs - Vol. 28FRACTIONAL CALCULUS OF WEYL ALGEBRA AND FUCHSIAN DIFFERENTIAL EQUATIONSedited by Toshio Oshima

Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

Contents: Fractional Operations; Confluences; Series Expansion and Contiguity Relation; Fuchsian Differential Equation and Generalized Riemann Scheme; Reduction of Fuchsian Differential Equations; Deligne–Simpson Problem; A Kac–Moody Root System; Expression of Local Solutions; Monodromy; Reducibility; Shift Operators; Connection Problem; Examples; Further Problems.

Readership: Graduate students and researchers.

203pp Nov 2012978-4-86497-016-7(pbk) US$33 £22

Notable BacklistPARTIAL DIFFERENTIAL EQUATIONS FOR SCIENTISTS AND ENGI-NEERSGeoff Stephenson (Imperial College, University of London, UK)

A GUIDE TO DISTRIBUTION THEORY AND FOURIER TRANSFORMSRobert S Strichartz (Cornell University, USA)

REAL ANALYSISTheory of Measure and Integration(2nd Edition)J Yeh (University of California, Irvine, USA)

11

COMBINATORICS & GRAPH THEORYAPPROXIMATION THEORY

WAVELET ANALYSIS AND ITS APPLICATIONSNumerical Methods, Computer Graphics and Economicsby Tian-Xiao He (Illinois Wesleyan University, USA) & En-Bing Lin(Central Michigan University, USA)

This is an introductory, self-contained book on wavelet analysis and its applications, focusing on computer graphics and economics. The only prerequisite is a basic knowledge of calculus and linear algebra.

Contents: Mathematical Introduction; From Haar Function Approximation to Multiresolution Analysis; MRA and Mother Wavelets; Wavelets in Computer Graphics; Wavelets in Economics and Econometrics; Advanced Wavelet Analysis and Additional Applications.

Readership: Researchers in mathematics and economics.

250pp Feb 2014978-981-283-400-3 US$77 £53

Interdisciplinary Mathematical SciencesHILBERT–HUANG TRANSFORM AND ITS APPLICATIONS2nd Editionedited by Norden E Huang (National Central University, Taiwan) & Samuel S P Shen (San Diego State University, USA)

This book is written for scientists and engineers who use HHT (Hilbert–Huang Transform) to analyze data from nonlinear and non-stationary processes. It can be treated as a HHT user manual and a source of reference for HHT applications. The book contains the basic principle and method of HHT and various application examples, ranging from the correction of satellite orbit drifting to detection of failure of highway bridges.

Readership: Applied mathematicians, climate scientists, highway engineers, medical scientists, geologists, civil engineers, mechanical engineers, electrical engineers, economics and graduate students in science or engineering.

350pp Jan 2014978-981-4508-23-0 US$88 £58978-981-4508-24-7(ebook) US$114 £75

Series on Coding Theory and Cryptology - Vol. 8ALGEBRAIC GEOMETRY MODELING IN INFORMATION THEORYedited by Edgar Martínez Moro (University of Valladolid, Spain)

Algebraic & geometry methods have constituted a basic background and tool for people working on classic block coding theory and cryptography. Nowadays, new paradigms on coding theory and cryptography have arisen such as: Network coding, S-Boxes, APN Functions, Steganography and decoding by linear programming. Again understanding the underlying procedure and symmetry of these topics needs a whole bunch of non trivial knowledge of algebra and geometry that will be used to both, evaluate those methods and search for new codes and cryptographic applications. This book shows those methods in a self-contained form.

Readership: Researchers in coding theory and cryptography.

336pp Feb 2013978-981-4335-75-1 US$99 £61978-981-4335-76-8(ebook) US$129 £79

Series on Coding Theory and CryptologyBOOLEAN FUNCTIONS: CRYPTOGRAPHIC AND COMBINATORIAL PROPERTIESFunctions with Symmetryby S Maitra (Indian Statistical Institute, India)

This book discusses cryptographic and combinatorial properties of Boolean functions.

Contents: Introduction; Background; Symmetric Functions: Balancedness and Correlation Immunity; Symmetric Functions: Maximum Nonlinearity; Symmetric Functions: Search Based on Walsh Spectrum Values; Symmetric Functions: Algebraic Immunity; Rotation Symmetric Boolean Functions; Rotation Symmetric Bent Functions; Search on RSBFs and DSBFs: Functions on 9-variables; Other Interesting Functions from RSBF and DSBF Class; Understanding PW Function; Modification of PW Functions; RSBFs with the Walsh Spectra Zeros Modifying PW Functions.

Readership: Researchers in combinatorics and theoretical computer science.

420pp Dec 2014978-981-4327-13-8 US$98 £61

Peking University Series in Mathematics - Vol. 5DIFFERENCE SETS AND THEIR APPLICATIONSby Weisheng Qiu (Peking University, China)

This book introduces the recent progress on the multiplier conjecture, prime power conjecture, Lander conjecture; including the author’s and his graduate student T Feng’s work on the multiplier conjecture. It provides a sufficiently broad introduction to algebraic approach for studying difference sets, including group ring, representation theory of finite groups, cyclotomic fields, etc.

Contents: Stream Cipher and Difference Sets; Symmetric Designs and Difference Sets; Algebraic Approach for Studying Difference Sets; Multipliers and Multiplier Conjecture; Difference Sets with Singer Parameters; Paley-Hadamard Difference Sets; Skew Difference Sets; Planar Difference Sets; Prime Power Conjecture; Lander Conjecture; Bent Functions and Hadamard Difference Sets; The other Difference Sets with gcd(v,n)>1. Schmidt’s Exponent Bound; Perfect Nonlinear Maps for Preventing Differential Cryptanalysis; Relative Difference Sets.

Readership: Advanced undergraduates and graduate students in mathematics; researchers interested in the difference sets, cryptography.

300pp Nov 2013978-981-4280-76-1 US$88 £61

Notable BacklistINTRODUCTION TO GRAPH THEORYH3 MathematicsKoh Khee Meng (National University of Singapore), et al.

COMBINATORIAL PROBLEMS IN MATHEMATICAL COMPETITIONSYao Zhang (Hunan Normal University, China)

CODING THEORY & CRYPTOGRAPHY


12

:: TextbookVORONOI DIAGRAMS AND DELAUNAY TRIANGULATIONSby Franz Aurenhammer (Graz University of Technology, Austria), Rolf Klein(University of Bonn, Germany) & Der-Tsai Lee (Academia Sinica, Taiwan)

This unique book offers a state-of-the-art view of Voronoi diagrams and their structure, and it provides efficient algorithms towards their computation.

Contents: Elementary Properties; Basic Algorithms; Advanced Properties; Generalized Sites; Medial Axis; Higher Dimensions; Power Diagram; Higher Order Diagram; General Spaces and Distances; Abstract Diagrams; Distance Problems; Delaunay Related Graphs; Clustering; Motion Planning; Placement Problems; High Dimensional Solutions; Open Problems.

Readership: Students of mathematics and computer science, scientists and engineers working in mathematics, natural sciences and economics.

348pp Jul 2013978-981-4447-63-8 US$95 £63

:: BestsellerSeries on Knots and Everything - Vol. 51VIRTUAL KNOTS The State of the Artby Vassily Olegovich Manturov (Peoples’ Friendship University of Russia, Russia) & Denis Petrovich Ilyutko (Moscow State University, Russia & Yaroslavl State University, Russia)

“We hope that the reader of this review is motivated to delve into the adventure presented by this remarkable book.”

Journal of Knot Theory and Its Ramifications

“The book is highly recommended to undergraduates, graduates, professionals and amateur mathematicians, because it goes from the basics to the frontiers of research.”

The European Mathematical Society

Readership: Graduate students and researchers in combinatorics and graph theory and knot theory.

552pp Sep 2012978-981-4401-12-8 US$168 £111978-981-4401-13-5(ebook) US$218 £144

:: Bestselling TextbookA WALK THROUGH COMBINATORICS (3rd Edition) An Introduction to Enumeration and Graph Theoryby Miklós Bóna (University of Florida, USA)

“The chapters on block designs and counting unlabeled structures have been added to the third edition, and there are also one hundred new problems in the other eighteen chapters. When I next teach a combinatorics course, this will be the text I use.”


This is a textbook for an introductory combinatorics course lasting one or two semesters. As the goal of the book is to encourage students to learn more combinatorics, every effort has been made to provide them with a not only useful, but also enjoyable and engaging reading.

Readership: Upper level undergraduates and graduate students in the field of combinatorics and graph theory.

568pp May 2011978-981-4335-23-2 US$110 £72978-981-4460-00-2(pbk) US$58 £38

:: Bestselling TextbookPRINCIPLES AND TECHNIQUES IN COMBINATORICSby Chen Chuan-Chong & Koh Khee-Meng(National University of Singapore)

“This book should be a must for all mathematicians who are involved in the training of Mathematical Olympiad teams, but it will also be a valuable source of problems for university courses.”


A wide range of examples, about 500 combinatorial problems taken from various mathematical competitions and exercises are included.

Contents: Permutations and Combinations; Binomial Coefficients and Multinomial Coefficients; The Pigeonhole Principle and Ramsey Numbers; The Principle of Inclusion and Exclusion; Generating Functions; Recurrence Relations.

Readership: Undergraduates, graduates and mathematicians.

312pp Jul 1992978-981-02-1139-4(pbk) US$39 £26

3rdEditionCOUNTING (2nd Edition)by Khee Meng Koh (National University of Singapore) & Eng Guan Tay (Nanyang Technological University, Singapore)

This book in its Second Edition is a useful, attractive introduction to basic counting techniques for upper secondary to undergraduate students, as well as teachers. Younger students and lay people who appreciate mathematics, not to mention avid puzzle solvers, will also find the book interesting.

Contents: The Addition Principle; The Multiplication Principle; Subsets and Arrangements; Applications; The Bijection Principle; Distribution of Balls into Boxes; More Applications of (BP); Distribution of Distinct Objects into Distinct Boxes; Other Variations of the Distribution Problem; The Binomial Expansion; Some Useful Identities; Pascal’s Triangle; The Principle of Inclusion and Exclusion; General Statement of the Principle of Inclusion and Exclusion; The Pigeonhole Principle; Recurrence Relations; The Stirling Numbers of the First Kind; The Stirling Numbers of the Second Kind; The Catalan Numbers; Miscellaneous Problems.

Readership: Teachers and students in high/secondary schools and colleges, and those interested in combinatorics and graph theory.

224pp Jan 2013978-981-4401-90-6 US$58 £38978-981-4401-91-3(pbk) US$28 £18

Solutions Manual

This book is the essential companion to the above textbook.

224pp Mar 2013978-981-4401-94-4(pbk) US$42 £28

Readership: College students and teachers in combinatorics.

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13

:: TextbookBIOENGINEERING FLUID MECHANICSby Tin-Kan Hung (University of Pittsburgh, USA)

This book highlights the basic concepts and equations for bioengineering flow processes. Physical concepts and meanings are emphasized while rigorous derivations are simplified, making it easier for self learning on some biological and medical flow processes. The well known Bernoulli equation in hydraulics is extended for pulsating flows, peristaltic flows and cardiac pumping. The dimensional analysis, model law and dimensionless equations can be related to computational models and experimental observations. The velocity vector imaging stored in echocardiograms can be used to analyze the pumping characteristics of the ventricular contraction. New topics included oxygen transport in membrane oxygenator and micro mixing of blood flow in capillary channels.

Readership: Researchers, professionals, academics, graduate and advanced undergraduate students in biomedical engineering, engineering mechanics, mechanical & aerospace engineering, chemical engineering and civil & environmental engineering.

200pp May 2014978-981-4295-15-4 US$68 £45

Notable BacklistGRAPH THEORYBin Xiong (East China Normal University, China), et al.

ELEMENTARY FLUID MECHANICSTsutomu Kambe (Institute of Dynamical Systems, Tokyo, Japan)

ANALYTICAL MECHANICS (Reprint Edition)A Comprehensive Treatise on the Dynamics of Constrained Systemsby John G Papastavridis (Georgia Institute of Technology, USA)

“This unique treatise should be part of every scientific library and scholarly collection in engineering science.”

IEEE Control Systems Magazine

“Probably the best of its kind and likely to become standard reference.”Dr Alex DalgarnoFRS, member of US National Academy

of Sciences, and “father of molecular astrophysics” and

Phillips Professor of Astronomy, Harvard University, and Harvard-Smithsonian Center for Astrophysics, USA

Readership: Students and researchers in engineering, physics, and applied mathematics.

1450pp Mar 2014978-981-4338-71-4 US$280 £174

American Association of Publishers Annual Award for Outstanding Professional and Scholarly Titles

:: Bestselling TextbookA FIRST LOOK AT GRAPH THEORYby John Clark & Derek Allan Holton(University of Otago, New Zealand)

This book is intended to be an introductory text for mathematics and computer science students at the second and third year levels in universities. It gives an introduction to the subject with sufficient theory for students at those levels, with emphasis on algorithms and applications.

Contents: An Introduction to Graphs; Trees and Connectivity; Euler Tours and Hamiltonian Cycles; Matchings; Planar Graphs; Colouring; Directed Graphs; Networks; Ramsey Theory; Reconstruction.

Readership: Undergraduates in mathematics and computer science.

348pp May 1991978-981-02-0490-7(pbk) US$49 £32

COMPLEX ANALYTIC GEOMETRYby Tatsuo Suwa (Hokkaido University, Japan)

This book starts off with the basic material, introducing characteristic classes mainly via the Chern–Weil theory, explaining the idea of localization of characteristic classes and presenting the aforementioned invariants and relations in a unified way from this perspective. Its exposition is carried out in a self-containing manner. Recent developments are also discussed.

The profound consequences of this subject will make the book useful for mathematical students on fields as diverse as Algebraic Geometry, Differential Geometry, Topology, Complex Dynamical Systems and Mathematical Physics.

Readership: Graduate students and researcher.

300pp Nov 2013978-981-4374-70-5 US$110 £73

Advances in Computational Fluid Dynamics - Vol. 1COMPUTATIONAL METHODS FOR TWO-PHASE FLOWSby Peter D M Spelt (Imperial College London, UK), Stephen J Shaw(Xi’an Jiaotong - University of Liverpool, Suzhou, China) & Hang Ding(University of California, Santa Barbara, USA)

This book uniquely presents an overview of methods for the numerical simulation of a wide range of two-phase flows, aimed at a broad readership of engineers and scientists at graduate level. The book is written by a team of leading experts who have contributed substantially to the development of the methods and who have also applied the concepts and theories to a diverse range of applications.

Contents: Interface Capturing and Tracking Methods; Coupling Two-Phase Navier–Stokes Solvers with Interface Capturing Methods; Basic Numerical Techniques; Issues in Interface Capturing; Adaptive Mesh Refinement; Complex Geometries; Numerical Methods for Asymptotic Regimes.

Readership: Scientists and engineers in the field of computational fluid dynamics of two-phase flows.

350pp Jun 2014978-981-4280-97-6 US$111 £76

COMPLEX ANALYSIS

FLUID MECHANICS


14

MATHEMATICS EDUCATION IN KOREAVolume 1: Curricular and Teaching and Learning Practicesedited by Jinho Kim (Daegu National University of Education, Korea), Inki Han (Gyeongsang National University, Korea),Mangoo Park (Seoul National University of Education, Korea) & Joongkwoen Lee (Dongguk University, Korea)

This book will introduce the history and practices of mathematics education in Korea. How it has been influenced from Japan, America, and other countries, and has developed into the unique Korean style of mathematics education. The editors have planned to include most of the topics researchers outside Korea want to know mathematics education in Korea.

Readership: Researchers, educators, lecturers, and graduate students in mathematics and education.

320pp Oct 2012978-981-4405-85-0 US$118 £78978-981-4405-86-7(ebook) US$153 £101

HOW CHINESE TEACH MATHEMATICSPerspectives from Insidersedited by Lianghuo Fan (The University of Southampton, UK), Ngai-Ying Wong (The Chinese University of Hong Kong, Hong Kong), Jinfa Cai (The University of Delaware, USA) & Shiqi Li (East China Normal University, China)

This unique book represents another concerted research effort concerning Chinese mathematics education, with contributions from the world’s leading scholars and most active researchers. The book presents the latest original research work with a particular focus on the “teaching” side of Chinese mathematics education to a wide international audience. There are mainly three sections in the book: Teaching, Teacher, and Teacher Education.

Readership: Researchers, educators, lecturers, and graduate students in mathematics and education.

500pp Feb 2014978-981-4415-81-1 US$112 £74978-981-4415-82-8(ebook) US$146 £96

LESSON STUDYChallenges in Mathematics Educationedited by Maitree Inprasitha (Khon Kaen University, Thailand), Masami Isoda (University of Tsukuba, Japan), Ban-Har Yeap (National Institute of Education, Singapore) & Patsy Wang-Iverson (The Gabriella and Paul Rosenbaum Foundation, USA)

Classroom Innovations through Lesson Study is an APEC EDNET (Asia-Pacific Economic Cooperation Education Network) project that aims to improve the quality of education in the area of mathematics. This book includes challenges of lesson study in the world, for example, in Japan and Singapore.

Readership: Mathematics educators of teacher training colleges, mathematics teachers, prospective teachers (elementary and secondary school) and undergraduate students in mathematics.

300pp Feb 2014978-981-283-540-6 US$111 £76978-981-283-541-3(pbk) US$65 £45

Vol7

Vol6

Vol3

:: TextbookAdvanced Series on Ocean EngineeringDYNAMICS OF FLOATING OFFSHORE STRUCTURESby Subrata K Chakrabarti (Offshore Structure Analysis, Inc., USA)

This book will provide a complete coverage on the dynamics of floating offshore structures.

Contents: Introduction of Offshore Structures; Review of Fluid Mechanics; Environment and Wave Theories; Environmental Forces on Small Membered Structures; Environmental Forces on Large Membered Structures; Floating Structure Dynamics; Mooring System Analysis and Design; Statistical Description of Random Ocean Waves and Wind; Random Wave Loading and Responses; Offshore Floating System Analysis.

Readership: Senior undergraduate, graduates and researchers in offshore and ocean engineering.

600pp Dec 2013978-981-4280-55-6 US$95 £63978-981-4280-56-3(pbk) US$55 £36

:: TextbookAN INTRODUCTION TO ASTROPHYSICAL FLUID DYNAMICS2nd Editionby Michael John Thompson (High Altitude Observatory, National Center for Atmospheric Research, USA)

This book provides an introduction for graduate students and advanced undergraduate students to the field of astrophysical fluid dynamics. No previous knowledge of fluid dynamics is assumed. After establishing the basic equations of fluid dynamics and the physics relevant to an astrophysical application, a variety of topics in the field are addressed. There is also a chapter introducing the reader to numerical methods. Appendices list useful physical constants and astronomical quantities, and provide handy reference material on Cartesian tensors, vector calculus in polar coordinates, self-adjoint eigenvalue problems, and JWKB theory.

The second edition contains expanded material and includes exercises.

Readership: Graduate students and advanced-level undergraduates in astronomy, astrophysics, applied mathematics, and physics.

350pp Dec 2013978-1-84816-644-8 US$60 £37

MULTISCALE AND MULTIRESOLUTION APPROACHES IN TURBULENCELES, DES and Hybrid RANS/LES Methods: Applications and Guidelines2nd Editionby Pierre Sagaut (Université Pierre et Marie Curie–Paris 6, France), Sébastien Deck & Marc Terracol (ONERA, France)

Review of the First Edition:

“The authors are to be congratulated on the considerable task of putting together this material in such a high quality manner … this is a very comprehensive documentation of a variety of approaches to turbulence and [this volume] presents this in a unified manner by the prior definition of multiscale and multiresolution methods...”

Journal of Fluid Mechanics

The book aims to provide the reader with an updated general presentation of multiscale/multiresolution approaches in turbulent flow simulations.

Readership: Graduate students and researchers in fluid mechanics and aerospace engineering.

448pp Mar 2013978-1-84816-986-9 US$128 £84978-1-84816-987-6(ebook) US$166 £109

GENERAL MATHEMATICS

15

HALF-DISCRETE HILBERT-TYPE INEQUALITIESby Bicheng Yang (Guangdong University of Education, China) & Lokenath Debnath (University of Texas- Pan American, USA)

This monograph deals with half-discrete Hilbert-type inequalities.

Contents: Introduction: Recent Developments of Hilbert-Type Inequalities with Applications; Preliminary Theorems: Improvements of Euler–Maclaurin’s Summation Formula; A Half-Discrete Inequality with the General Homogeneous Kernel and Extensions; A Half-Discrete Inequality with a General Non-Homogeneous Kernel and Extensions; Two Kinds of Multi-dimensional Half-Discrete Inequalities; Two Kinds of Multiple Half-Discrete Hilbert-Type Inequalities.

Readership: Graduate students and professional researchers in mathematics.

350pp Sep 2013978-981-4504-97-3 US$78 £51978-981-4504-98-0(ebook) US$101 £66

NURTURING REFLECTIVE LEARNERS IN MATHEMATICSYearbook 2013, Association of Mathematics Educatorsedited by Berinderjeet Kaur (Nanyang Technological University, Singapore)

This fifth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore is unique in that it focuses on a single theme in mathematics education. The objective is to encourage teachers and researchers to advance reflection among students and teachers in mathematics classrooms.

Several renowned international and Singapore researchers in the field have published their work in this volume. The fifteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes.

Readership: Mathematics educators, teachers and research students.

328pp Mar 2013978-981-4472-74-6 US$78 £51978-981-4472-76-0(ebook) US$101 £66

Mathematical Olympiad Series - Vol. 9MATHEMATICAL OLYMPIAD IN CHINA (2009-2010)Problems and Solutionsedited by Bin Xiong (East China Normal University, China) & Peng Yee Lee (Nanyang Technological University, Singapore)

The International Mathematical Olympiad (IMO) is a competition for high school students. China has taken part in the IMO 21 times since 1985 and has won the top ranking for countries 14 times, with a multitude of golds for individual students. This volume of comprises a collection of original problems with solutions that China used to train their Olympiad team in the years from 2009 to 2010.

Readership: Mathematics students, school teachers, college lecturers, university professors; mathematics enthusiasts.

204pp Apr 2013978-981-4390-21-7(pbk) US$29 £19978-981-4390-22-4(ebook) US$38 £25

:: Popular BookDEVELOPING LIFE SKILLS THROUGH MATH AND SCIENCE GAMESby Wee Khee Seah (NASCANS Pte Ltd, Singapore), Li Yang Ng, Ying Zhen Ang, Reico Ng & edited by Beng Lee Lim

Shaping character and life skills for our leaders of tomorrow has always been a challenging task. This exciting new book brings a new perspective to educating our young in a fun, exciting and engaging manner. High energy games that bring about both breadth and depth of discussion by the participants will inevitably develop their innate leadership potential and competency levels over time. These games are designed to be logistically minimal so that all can enjoy the games at any time.

Readership: High school students and general public interested in Math, Science and life skills.

224pp Jan 2013978-981-4439-81-7(pbk) US$25 £17978-981-4439-82-4(ebook) US$33 £22

:: BestsellerMonographs on Lesson Study for Teaching Mathematics and Sciences - Vol. 1MATHEMATICAL THINKINGHow to Develop it in the Classroomby Masami Isoda (University of Tsukuba, Japan) & Shigeo Katagiri(Society of Elementary Mathematics Education, Japan)

“This extraordinarily important monograph has the potential to make a significant positive contribution to elementary education.”

Zentralblatt MATH

This book is the result of lesson studies over the past 50 years.


320pp Jan 2012978-981-4350-83-9 US$90 £59978-981-4350-84-6(pbk) US$42 £27978-981-4350-85-3(ebook) US$117 77

JIM TOTTEN’S PROBLEMS OF THE WEEKedited by John Grant McLoughlin (University of New Brunswick, Canada), Joseph Khoury (University of Ottawa, Canada) & BruceShawyer (Memorial University of Newfoundland, Canada)

This volume provides a wide selection of problems (and solutions) to all those interested in mathematical problem solving and is accessible to readers from high school students to professionals.

Contents: Combinatorial Geometry; Functions; Higher Dimensional Geometry; Identities, Inequalities and Expressions; Logic, Games, Puzzles and Amusements in Math; Number Theory; Plane Geometry; Probability; Triangle Mathematics; Miscellaneous.

Readership: High school students and university students interested in mathematics competitions and problem solving.

348pp Aug 2013978-981-4513-30-2 US$68 £45


16

GEOMETRY & TOPOLOGYMORSE THEORY, GRADIENT FLOWS, CONCAVITY AND COMPLEXITY ON MANIFOLDS WITH BOUNDARYby Gabriel Katz (Massachusetts Institute of Technology, USA)

Putting constraints on the nature of the interaction between nonsingular gradient-like fields and the boundary of a smooth compact manifold have profound implications for the topology of the manifold, and this book describes these implications. Along the way, this study extends into the spaces of flow trajectories, their complexity and intricate combinatorics. New invariants of gradient flows, as well as invariants of the underlying manifold are produced, based on the understanding of these structures (on the space of trajectories and on the flow-generated spines).

Readership: Graduate students and researchers specialized in geometric topology, singularity theory and dynamical systems.

300pp Jun 2014978-981-4368-75-9 US$98 £65

COHERENT SYSTEMS ON ALGEBRAIC CURVESby Peter Newstead (University of Liverpool, UK)

The book provides a state-of-the-art description of the construction and properties of coherent systems on algebraic curves and their moduli spaces, including many results based on the research works of the author and his collaborators. This is a developing theory which generalizes the classical theory of linear systems and has applications to higher rank Brill–Noether theory, and projective embeddings of curves and syzygies.

Contents: Definitions and Construction of Moduli Spaces; Basic Properties; Construction Methods and Flips; Coherent Systems in Genus 0; Coherent Systems in Genus 1; Existence of Coherent Systems in Higher Genus; Irreducibility and Smoothness of the Moduli Spaces; Special Results for Rank 2; Special Curves.

Readership: Graduate students and researchers in the field of coherent systems on algebraic curves.

200pp Mar 2014978-981-4304-17-7 US$74 £51

BENOIT MANDELBROTA Life in Many Dimensionsedited by Michael Frame (Yale University, USA)

This is a collection of articles, many written by people who worked with Mandelbrot, memorializing the remarkable breadth and depth of his work in science and the arts. Contributors include mathematicians, physicists, biologists, economists, and engineers, as expected; and also artists, musicians, teachers, an historian, an architect, a filmmaker, and a comic. Some articles are quite technical, others entirely descriptive. All include stories about Benoit.

Readership: People interested in the life work of Benoit Mandelbrot. While the technical articles will be accessible mainly to scientists, the range of chapters provides material of interest to a wide range of readers. The audience range from the general public for some parts, through high school and college teachers, to research scientists.

400pp Feb 2014978-981-4366-06-9 US$118 £78

Notable BacklistAN INTRODUCTION TO DIFFERENTIAL MANIFOLDSby Dennis Barden & Charles Thomas (University of Cambridge, UK)

THE PATTERN BOOK: FRACTALS, ART, AND NATUREClifford A Pickover (IBM Thomas J Watson Research Center)

ALGEBRAIC GEOMETRYDaniel Bump (Stanford University, USA)

LECTURE NOTES ON CHERN–SIMONS–WITTEN THEORYSen Hu (University of Science & Technology of China, China)

Notable BacklistTHE PLEASURES OF PI, E AND OTHER INTERESTING NUMBERSY E O Adrian

A FIRST STEP TO MATHEMATICAL OLYMPIAD PROBLEMSDerek Holton (University of Otago, New Zealand)

A SECOND STEP TO MATHEMATICAL OLYMPIAD PROBLEMSDerek Holton (University of Otago, New Zealand & University of Melbourne, Australia)

SYMMETRIES OF ISLAMIC GEOMETRICAL PATTERNSby Syed Jan Abas (University of Wales, UK), Amer Shaker Salman (University of Wales, UK), with forewords by Ahmed Moustafa & Sir Michael Atiyah (President of the Royal Society)

:: Bestselling TextbookCALCULUS The Elementsby Michael Comenetz (St John’s College, USA)

“This book is unlike any other calculus book I have seen. It is an extremely scholarly work, by a pure mathematician with research credentials, as well as years of teaching experience, whose goal seems to be to explain the ideas behind the calculus, as well as its origins and applications, to the intelligent and curious but mathematically unsophisticated beginner, even lay persons.”

Roy SmithUniversity of Georgia, Athens, GA

Contents: The Problem of Calculus; Integral and Derivative; Differentiation and Integration; Differential Equations of Rectilinear Motion; The Differential Equation of Intrinsic Growth: The Exponential and Logarithmic Functions; Length and Curvature of Plane Curves; Representation of Functions by Infinite Taylor Series.

Readership: Undergraduates who study or use calculus, as well as teachers and general readers interested in mathematics and science.

540pp Nov 2002978-981-02-4903-8 US$125 £83978-981-02-4904-5(pbk) US$71 £47

:: BestsellerJAPANESE LESSON STUDY IN MATHEMATICSIts Impact, Diversity and Potential for Educational Improvementedited by Masami Isoda, Takeshi Miyakawa (University of Tsukuba, Japan),Max Stephens (University of Melbourne, Australia) & Yutaka Ohara (NarutoUniversity of Education, Japan)

This book supports the growing movement of lesson study to improve the quality of mathematics education from the original viewpoints of Japanese educators who have been engaging in lesson study in mathematics for professional development and curriculum implementation.


280pp Feb 2007978-981-270-453-5 US$170 £112978-981-270-544-0(pbk) US$74 £49978-981-270-747-5(ebook) US$220 £146

17

:: TextbookCONNECTIONS, SPRAYS AND FINSLER STRUCTURESA Comprehensive Introductionby József Szilasi, Rezs L Lovas & Dávid Cs Kertész (University of Debrecen, Hungary)

This book provides a comprehensive introduction to Finsler geometry in the language of present-day mathematics. Through Finsler geometry, it also introduces the reader to other structures and techniques of differential geometry.

Contents: Sets, Mappings, Operations; Modules, Algebras, Derivations; Calculus in Vector Spaces; Manifolds and Bundles; Tangent Bundle, Vector Fields, and Differential Forms; Covariant Derivatives; Ehresmann Connections and Sprays; Finsler Structures.

Readership: Undergraduate and graduate students of mathematics, graduate students of physics, researchers and professionals in differential geometry and mathematical physics.

500pp Nov 2013978-981-4440-09-7 US$78 £51

SELECTED PAPERS OF MASATAKE KURANISHIeditor-in-chief Heisuke Hironaka (Japan Association for Mathematical Sciences, Japan) edited by Takao Akahori (University of Hyogo Prefecture, Japan), GenKomatsu (Osaka University, Japan), Kimio Miyajima (Kagoshima University, Japan), Makoto Namba (Otemon Gakuin University, Japan), Duong H Phong(Columbia University, USA) & Keizo Yamaguchi (Hokkaido University, Japan)

This book is a selection of Masatake Kuranishi’s papers. Born in 1924, Kuranishi produced deep and far-reaching results in geometry over his career. Of his voluminous contributions, this book focuses on his later works: (i) his work on locally complete families of deformation of compact complex manifolds. Kuranishi was first to prove the fundamental results of the existence of complete families whose parameter spaces are today called Kuranishi spaces. His result is highly influential in deformation theory of various geometric objects. (ii) His work on the local embedding problem of Cauchy–Riemann structures. Kuranishi proved a fundamental embedding theorem in Cauchy–Riemann geometry. (iii) His work on Cartan Geometry and Szegö kernels. Mainly for his works on (i) and (ii), Kuranishi was awarded the Bergman Prize in 2000. Today, he is a professor emeritus of Columbia University.

Readership: Researchers in geometry and complex analysis.

656pp May 2013978-981-4508-13-1 US$128 £84

APPLICATIONS OF CONTACT GEOMETRY AND TOPOLOGY IN PHYSICSby Arkady L Kholodenko (Clemson University, USA)

Contents: Motivation and Background; From Ideal Magnetohydrodynamics to String and Knot Theory; All About and Around Woltjer’s Theorem; Topologically Massive Gauge Theories and Force-Free Fields; Contact Geometry and Physics; Sub-Riemannian Geometry, Heisenberg Manifolds and Quantum Mechanics of Landau Levels; Abrikosov Lattices, TGB Phases in Liquid Crystals and Heisenberg Group; Sub-Riemannian Geometry, Spin Dynamics and Quantum-Classical Optimal Control; From Contact Geometry to Contact Topology; Closing Remarks: The Unreasonable Effectiveness of Contact Geometry and Topology in Physical Sciences; Appendices: Heisenberg Group in the Context of Sub-Riemannian Geometry and Optimal Control; Sub-Riemannian Dynamics of Josephson Junctions; Quantum Computers and Quantum Random Walks; The Measurement Protocol. Geometry and Topology of Entanglements.

Readership: Researchers and professionals in applied mathematics and theoretical physics.

492pp Jul 2013978-981-4412-08-7 US$154 £102978-981-4412-09-4(ebook) US$200 £133

TOPOLOGY WITH APPLICATIONSTopological Spaces via Near and Farby Somashekhar A Naimpally (Lakehead University, Canada)& James F Peters (University of Manitoba, Canada)

Contents: Basic Framework; What is Topology?; Symmetric Proximity; Continuity and Proximal Continuity; Separation Axioms; Uniform Spaces, Filters and Nets; Compactness and Higher Separation Axioms; Initial and Final Structures, Embedding; Grills, Clusters, Bunches and Proximal Wallman Compactification; Extensions of Continuous Functions: Taimanov Theorem; Metrisation; Function Space Topologies; Hyperspace Topologies; Selected Topics: Uniformity and Metrisation.

Readership: 3rd year undergraduate students, graduate students and researchers in topology; professional and practitioners who are interested in applying topology and its applications especially in science and engineering.

296pp Apr 2013978-981-4407-65-6 US$84 £55978-981-4407-66-3(ebook) US$109 £72

Series on Knots and Everything - Vol. 53KNOTS AND PHYSICS (4th Edition)by Louis H Kauffman (University of Illinois, Chicago, USA)

Review of the Third Edition:

“It is an attractive book for physicists with profuse and often entertaining illustrations … proofs … seldom heavy and nearly always well explained with pictures … succeeds in infusing his own excitement and enthusiasm for these discoveries and their potential implications.”

Physics Today

Readership: Physicists and mathematicians.

864pp Nov 2012978-981-4383-00-4 US$195 £129978-981-4383-01-1(pbk) US$92 £61978-981-4383-02-8(ebook) US$254 £168

Algebra and Discrete Mathematics - Vol. 4GEOMETRY OF CRYSTALLOGRAPHIC GROUPSby Andrzej Szczepa ski (University of Gda sk, Poland)

“This very precise and well written text is an extended version of the notes of the lectures given by the author at Gda skUniversity for graduate students in the academic year 2004/05.”


Contents: Definitions; Bieberbach Theorems; Classification Methods; Flat Manifolds with b1 = 0; Outer Automorphism Groups; Spin Structures and Dirac Operator; Flat Manifolds with Complex Structures; Crystallographic Groups as Isometries of Hn;Hantzsche–Wendt Groups; Open Problems.

Readership: Researchers in geometry and topology, algebra and number theory and chemist.

208pp Aug 2012978-981-4412-25-4 US$78 £51978-981-4412-26-1(ebook) US$101 £66

4thEdition


18

Mathematical Society of Japan Memoirs - Vol. 27GEOMETRIC STRUCTURES ON 2-ORBIFOLDSExploration of Discrete Symmetryby Suhyoung Choi

Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

Contents: Introduction; Manifolds and G-Structures; Geometry and Discrete Groups; Topology of Orbifolds; Topology of 2-Orbifolds; Geometry of Orbifolds: Geometric Structures on Orbifolds; Deformation Spaces of Hyperbolic Structures on 2-Orbifolds; Deformation Spaces of Real Projective Structures on 2-Orbifolds.

Readership: Graduate students and researchers.

171pp Aug 2012978-4-931469-68-6(pbk) US$28 £18

Series on Knots and Everything - Vol. 50TOPOLOGICAL LIBRARYPart 3: Spectral Sequences in Topologyedited by S P Novikov (Landau Institute for Theoretical Physics, Russia & University of Maryland, USA), I A Taimanov (Sobolev Institute of Mathematics, Russia) & translated by V P Golubyatnikov (Sobolev Institute of Mathematics, Russia)

The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in the 1950s–1960s. The partition of these papers among the volumes is rather conditional. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950. That is, from Serre’s celebrated “singular homologies of fiber spaces.”

Readership: Researchers in algebraic topology, its applications, and history of topology.

592pp Jul 2012978-981-4401-30-2 US$179 £118978-981-4401-31-9(ebook) US$233 £153

:: BestsellerGEOMETRY OF MÖBIUS TRANSFORMATIONSElliptic, Parabolic and Hyperbolic Actions of SL2(R)(With DVD-ROM)by Vladimir V Kisil (University of Leeds, UK)

Contents: Erlangen Programme: Preview; Groups and Homogeneous Spaces; Homogeneous Spaces from the Group SL2(R); The Extended Fillmore–Springer–Cnops Construction; Indefinite Product Space of Cycles; Joint Invariants of Cycles: Orthogonality; Metric Invariants in Upper Half-Planes; Global Geometry of Upper Half-Planes; Invariant Metric and Geodesics; Conformal Unit Disk; Unitary Rotations.

Readership: Undergraduate and graduate students in geometry and algebra.

208pp Jun 2012978-1-84816-858-9 US$78 £51978-1-84816-859-6(ebook) US$101 £66

:: BestsellerLecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol. 23GEOMETRY, TOPOLOGY AND DYNAMICS OF CHARACTER VARIETIESedited by William Goldman (University of Maryland, USA), Caroline Series (University of Warwick, UK) & Ser Peow Tan (NationalUniversity of Singapore)

This volume is based on lectures given at the highly successful three-week Summer School on Geometry, Topology and Dynamics of Character Varieties held at the National University of Singapore’s Institute for Mathematical Sciences in July 2010.

Aimed at graduate students in the early stages of research, the edited and refereed articles comprise an excellent introduction to the subject of the program, much of which is otherwise available only in specialized texts.

Readership: Graduate students, researchers and professors in mathematical areas such as low-dimensional topology, dynamical systems and hyperbolic geometry.

364pp Jun 2012978-981-4401-35-7 US$108 £71978-981-4401-36-4(ebook) US$140 £92

WOLF PRIZE IN MATHEMATICS

The Wolf Prize, awarded by the Wolf Foundation in Israel, often goes to mathematicians who are in their sixties or older. That is to say, the Prize honours the achievements of a lifetime. This is the first time that documents on Wolf Prize winners have been published together.

Volume 3 & Volume 4

edited by Y Sinai & E Stein (Princeton University, USA)

Edited by Professor Y Sinai, winner of Wolf Prize in Mathematics (1996/7), and Professor E Stein, winner of Wolf Prize in Mathematics (1999), these invaluable volumes feature CV, bibliographies, important papers, and speeches (for example at international congresses) of Wolf Prize winners.

Volume 3 Contributors

1978, Israel M. Gel’fand1993, Mikhail Gromov2001, Vladimir I. Arnold2005, Gregory A. Margulis2006/7, Hillel Fürstenberg2008, Pierre R. Deligne2008, Phillip A. Griffiths

600pp Aug 2012978-981-4390-27-9 US$188 £124

Volume 4Contributors

1986, Atle Selberg1992, John G. Thompson2001, Saharon Shelah2002/3, Mikio Sato2002/3, John T. Tate2005, Sergei P. Novikov2006/7, Stephen Smale2008, David Mumford

580pp Sep 2012978-981-4390-29-3 US$182 £120

Readership: Mathematicians.

19

MATHEMATICAL MODELING

:: Bestselling TextbookSeries on University Mathematics - Vol. 1LECTURES ON DIFFERENTIAL GEOMETRYby S S Chern (University of California, Berkeley, USA), W H Chen (Beijing University, China)& K S Lam (California State Polytechnic University, USA)

“This excellent and polished book may not be suitable for the very beginning student, but it is highly recommended for all mathematicians, from the advanced undergraduate student to the experienced professor...”

Prof. F HirzebruchMax-Planck Institute, Bonn

Contents: Differentiable Manifolds; Multilinear Algebra; Exterior Differential Calculus; Connections; Riemannian Geometry; Lie Groups and Moving Frames; Complex Manifolds; Finsler Geometry; Historical Notes; Differential Geometry and Theoretical Physics.

Readership: Undergraduates, graduates and researchers in pure mathematics and mathematical physics.

368pp Nov 1999978-981-02-3494-2 US$65 £43978-981-02-4182-7(pbk) US$34 £22

DIFFUSION, PROPAGATION AND GROWTH IN BIOMEDICAL SYSTEMSby Livio Triolo (Università di Roma Tor Vergata, Italy)

Contents: Mathematical Modeling of Many-Component Systems; Examples from Ecology, Epidemiology and Cell Biology; Birth-Death Processes: Initial and Asymptotic Behavior; From Microscale to Macroscale: Stochastic Dynamics and Scaling Limits; Mean-Field Approximation and Nonlocal Behavior; An Intermediate, Mesoscopic Scale: The Kinetic Theory Approach; More Examples from Current Research: Chemotaxis, Tumor Growth and Viral Infections; Appendix on Qualitative Analysis of Differential and Integral Equations and on the Limit Behavior of Stochastic Processes.

Readership: Applied mathematicians, biophysicists, theoretical biologists with medical interests.

250pp Jun 2014978-1-84816-341-6 US$89 £61

TOPICS IN BIOMATHEMATICSby J C Misra (Indian Institute of Technology, Kharagpur, India)

This book focuses on the integration of mathematical models dealing with the dynamics of the cardiovascular system. The author uses a step-by-step approach to describe different components of the cardiovascular system and provides a variety of information about the dynamical behavior of the cardiovascular system with appropriate diagrams.

Contents: Mathematical Modeling of Blood Flow in Arteries in Normal and Pathological States (J C Misra); Mathematical Modeling in Cardiovascular System Dynamics (J C Misra); Bifurcation and Chaos in a Study of Population Dynamics (J C Misra & A Mitra); Computational Analysis of Genes: A Technique for Identifying Transcription Factor Binding Sites (J C Misra & B D Dravid).

Readership: Graduate students, academics and researchers in biomathematics, mathematical biology, mathematical modeling, biotechnology, biocomputing, biophysics, bioengineering and mechanics.

400pp Apr 2014978-981-283-659-5 US$111 £76

:: TextbookICP Textbooks in Biomolecular SciencesINTRODUCTION TO SYSTEMS BIOLOGYMathematical and Computational Modeling of the Cellby Zoltan Neufeld (University of Queensland, Australia)

Contents: Introduction: The Origins of Systems Biology; Mathematical Modeling and Computational Tools; Biochemical Reactions and the Complex Pathway Simulator (COPASI); Dynamical Modules: Switches and Oscillators; Networks of Biochemical Reactions; Parameter Estimation; Constraint Based Modeling and Flux Balance Analysis; Stochastic Models for Cell Biology; Boolean Models; Rule Base Modeling; Spatial Models.

Readership: Students and researchers in the fields of biology, mathematics, physics, engineering or computer science.

300pp May 2014978-1-84816-901-2 US$78 £51

Series in Mathematical Biology and Medicine - Vol. 10OPTIMAL TRANSPORT NETWORKS IN NATUREby Natalya Kizilova (Kharkov National University, Ukraine)

Contents: Transportation Networks in Nature; Optimization Criteria; Cardiovascular System; Respiratory System; Fluid Transport Systems in Zoology; Conducting Systems in Plants; Common Design Principles and Optimal Properties of the Long-Distance Transport Networks in Nature; Local and Global Optimality; Physiological Mechanisms of Development of the Optimal Transport Systems in Growing Tissues and Organs; Evolutionary Optimization; Biological Growth and Morphogenesis; Complex Networks in Technique.

Readership: Academics, researchers, and graduate students in mathematical biology, mathematical modeling, fluid mechanics, biomedical engineering, pattern recognition/image analysis.

200pp Mar 2014978-981-283-873-5 US$77 £53

Notable BacklistCALCULATING CATASTROPHEby Gordon Woo (Risk Management Solutions, USA)

ADVANCED MATHEMATICS FOR ENGINEERING AND SCIENCEC F Chan Man Fong (Tulane University, USA), et al.

GEOMETRIC MECHANICS (2nd Edition)Darryl D Holm (Imperial College London, UK) Part I: Dynamics and SymmetryPart II: Rotating, Translating and Rolling


20

STOCHASTIC MEDICAL REASONING AND ENVIRONMENTAL HEALTH EXPOSUREby George Christakos (San Diego State University, USA), Jin-Feng Wang(Chinese Academy of Science, China) & Jiaping Wu (Zhejiang University, China)

This book addresses the need to consider medical reasoning to enable health care professionals (medical decision-makers, clinical practitioners, environmental health investigators, geomedicinists, public health administrators) to make informed interpretations of medical decision-making and human exposure analysis.

Contents: Age of Synthesis; Thinking Amidst Uncertainty; Stochastic Reasoning; Space–Time Environmental Exposure, Environmental Mapping.

Readership: Practitioners and researchers in environmental and health sciences.

300pp Feb 2014978-1-908977-49-6 US$98 £65978-1-908977-50-2(ebook) US$127 £85

FRACTIONAL DIFFERENTIAL CALCULUS VIA FRACTIONAL DIFFERENCE THEORY AND APPLICATIONSA Non-Standard Fractional Calculus and Its Applicationsby Guy Jumarie (University of Quebec, Montreal, Canada)

Contrary to most books on fractional calculus which start with definitions of fractional derivatives in terms of integrals, here one uses a definition expressed as the limit of fractional difference, what allows us to expand the theory step by step exactly like with Leibniz calculus, by handling infinitely small increments. It follows that the physical significance of this calculus sticks to real problems and that, as a result, it is quite suitable (perhaps excellent) in systems modeling. Physical increments have a parlance in modeling which one can find in our fractional calculus, but is nowhere in the definition of fractional derivative via integrals. Last but not least, the book deals with non-differentiable functions, whilst most classical approaches to fractional calculus refer to the Caputo definition which deals with differentiable functions.

Readership: Graduate students and researchers in mathematical modeling.

420pp Feb 2014978-981-4440-03-5 US$112 £74

SPLINES AND COMPARTMENT MODELSAn Introductionby Karl-Ernst Biebler & Michael Wodny (ErnstMoritz Arndt University of Greifswald, Germany)

Contents: Interpolating Splines of Degree n;Interpolating Cubic Splines; Interpolating Cubic Splines with Several Extreme Characteristics; Smoothing Cubic Splines; Estimation of Smoothing Parameters; Interpolating Quadratic Splines; Smoothing Quadratic Splines; Splines and Average Functions; Compartment Models; Calculability and Identifiability; Compartment Models and Associated Residence Time Distributions; Calculation Methods Related to Compartment Models; Varied Minimum Chi-square Parameter Estimation; Pharmacokinetics for Multiple Applications; Mathematica® Programs for Selected Problems.

Readership: Graduate students in biomathematics, medicine, pharmacy and human biology. Professionals like bio-mathematicians, pharmacologists, clinical pharmacologists, pharmacists, doctors engaged in clinical research, scientists in pharmaceutical R&D and scientific staff in the life sciences.

348pp Aug 2013978-981-4522-22-9 US$N/A

APPLIED UNCERTAINTY ANALYSIS FOR FLOOD RISK MANAGEMENTedited by Keith Beven (Lancaster University, UK) & Jim Hall(Newcastle University, UK)

This volume provides an introduction for flood risk management practitioners, up-to-date methods for analysis of uncertainty and its use in risk-based decision making.

Contents: An Introduction to Flood Risk Management (K Beven);Uncertainties in Flood Risk Analysis for Planning, Design and System Management (K Beven); Uncertainties in Real Time Flood Forecasting (K Beven); Long Term Change in Flood Risk Management (J Hall);Decision Making for Flood Risk Management (J Hall); Future Integrated Flood Risk Analysis (K Beven & J Hall).

Readership: Hydrologists, civil engineers, meteorologists, flood risk managers, environmental scientists, hydraulic engineers and consultants.

500pp Sep 2013978-1-84816-270-9 US$138 £91

Systems Research Series - Vol. 3THE RESILIENCE OF NETWORKED INFRASTRUCTURE SYSTEMSAnalysis and Measurementby Mayada Omer (Stevens Institute of Technology, USA)

Contents: Resilience Definitions; Resilience Metrics; Organizational Resilience; Qualities of Resilient Systems; Resilience vs. Reliability; Resilience vs. Robustness; Resilience vs. Flexibility; Resilience vs. Agility; Resilience-Enabling Schemes; Vulnerability; Adaptive Capacity; Resilience Assessment Framework; Critical Infrastructure Systems; Infrastructure Modeling Tools; Resilience in Submarine Communications Cable Systems, Ground Transportation Networks, Maritime Transportation Systems; Enterprise Resilience.

Readership: From the undergraduate level through to research — as well as professionals and decision-makers involved in the development, analysis and evaluation of infrastructure systems.

236pp Aug 2013978-981-4452-81-6 US$98 £65978-981-4452-82-3(ebook) US$127 £85

Computational and Experimental Methods in Structures - Vol. 5MATHEMATICAL METHODS AND MODELS IN COMPOSITESedited by Vladislav Manti (University of Seville, Spain)

Contents: Micromechanics of Heterogeneous Materials; Scaling and Homogenization in Spatially Random Composites; Asymptotic Homogenization for Composites and Thin-Walled Composite Structures; Stroh-Like Formalism for General Laminated Plates; Elastic Waves and Inverse Problems in Anisotropic Materials; Models for Laminated St ructures ; Advanced Simulat ion of Composites Manufacturing; Instabilities in Fiber-Reinforced Composites; Bifurcation of Elastic Multilayers; Energy and Stress Based Fracture Criterion Applied to Stress Concentrations and Singularities in Composites; And other topics.

Readership: Graduate students and researchers in composite engineering.

450pp Aug 2013978-1-84816-784-1 US$150 £98

21

BIOMIMETIC ROBOTIC ARTIFICIAL MUSCLESby Kwang Jin Kim (University of Nevada, Las Vegas, USA & University of Nevada, Reno, USA), Xiaobo Tan (Michigan State University, USA),Hyouk Ryeol Choi (Sungkyunkwan University, South Korea) & David Pugal (University of Nevada, Reno, USA)

Contents: Introduction; Physical Principles of Ionic Polymer-Metal Composites; New IPMC Materials and Mechanisms; A Systems Perspective on Modeling of Ionic Polymer-Metal Composites; Conjugated Polymer Actuators: Modeling and Control; Synthetic Dielectric Elastomer Materials; Dielectric Elastomer Actuator; Integrated Sensory Feedback for EAP Actuators; Device and Robotic Applications of EAPs.

Readership: Graduate students, academics and professionals in the field of materials engineering and robotics.

300pp Mar 2013978-981-4390-35-4 US$99 £65978-981-4390-36-1(ebook) US$129 £85

:: TextbookA GENTLE INTRODUCTION TO SUPPORT VECTOR MACHINES IN BIOMEDICINEVolume 2: Case Studies and Benchmarksby Alexander Statnikov, Constantin F Aliferis(New York University, USA), Douglas P Hardin(Vanderbilt University, USA) & Isabelle Guyon(ClopiNet, USA)

Support Vector Machines (SVMs) are among the most important recent developments in pattern recognition and statistical machine learning. They have found a great range of applications in various fields including biology and medicine. However, biomedical researchers often experience difficulties grasping both the theory and applications of these important methods because of lack of technical background. The purpose of this book is to introduce SVMs and their extensions and allow biomedical researchers to understand and apply them in real-life research in a very easy manner. The book is to consist of two volumes: theory and methods (Volume 1) and case studies (Volume 2).

Readership: Biomedical researchers and healthcare professionals who would like to learn about SVMs and relevant bioinformatics tools but do not have the necessary technical background.

212pp Mar 2013978-981-4324-39-7 US$78 £48

:: TextbookAN INTRODUCTION TO DIFFERENTIAL EQUATIONS (Volume 2)Stochastic Modeling, Methods and Analysisby Anil G Ladde (Chesapeake Capital Corporation, USA) & G S Ladde (University of South Florida, USA)

Contents: Elements of Stochastic Processes and Itô–Doob Stochastic Calculus; First-Order Differential Equations; First-Order Nonlinear Differential Equations; First-Order Systems of Linear Differential Equations; Higher-Order Differential Equations; Topics in Differential Equations.

Readership: Advanced undergraduate students, interdisciplinary researchers; researchers in the mathematical sciences.

636pp Mar 2013978-981-4390-06-4 US$158 £104978-981-4390-07-1(pbk) US$78 £51

World Scientific Series on Nonlinear Science, Series A - Vol. 82DEVELOPMENT OF MEMRISTOR BASED CIRCUITSby Herbert Ho-Ching Iu & Andrew L Fitch (The University of Western Australia, Australia)

Contents: Introduction; Controlling Chaos in a Memristor Based Circuit; Hyperchaos in a Memristor Based Modified Canonical; Realization of an Analog Model of a Memristor Based on a Light Dependent Resistor; Design of a Memcapacitor Emulator Based on a Memristor; Practical Realization of an Analog Model of a Memcapacitor; Chaos in Memristively Coupled Harmonic Oscillators; Conclusion and Future Work.

Readership: Graduate students, academics, laboratory researchers, applied mathematicians and physicists in engineering and science.

132pp Dec 2012978-981-4383-38-7 US$58 £38978-981-4383-39-4(ebook) US$75 £49

:: BestsellerStudies of Nonlinear Phenomena in Life Science - Vol. 16FRACTAL PHYSIOLOGY AND CHAOS IN MEDICINE 2nd Editionby Bruce J West (Army Research Office, USA)

In this new edition what has withstood the test of time has been updated and modernized; speculations that were not borne out have been expunged and the breakthroughs that have occurred in the intervening years are emphasized. The book provides a comprehensive overview of a nascent theory of medicine, including a new chapter on the theory of complex networks as they pertain to medicine.

Contents: Introduction; Physiology in Fractal Dimensions; Dynamics in Fractal Dimensions; Statistics in Fractal Dimensions; Applications of Chaotic Attractors; Physiologic Networks: The Final Chapter?.

Readership: Biomedical and physical scientists and students.

344pp Nov 2012978-981-4417-79-2 US$64 £42978-981-4417-80-8(ebook) US$83 £55

Notable BacklistHOMOGENIZATION METHODS FOR MULTISCALE MECHANICSChiang C Mei (Massachusetts Institute of Technology, USA) & Bogdan Vernescu (Worcester Polytechnic Institute, USA)

INTRODUCTION TO MATRIX THEORYWith Applications to Business and EconomicsFerenc Szidarovszky (University of Arizona, USA) & Sándor Molnár (Szent Istvan University, Hungary)


22

MATHEMATICAL PHYSICS

:: BestsellerSOLVING THE RIDDLE OF PHYLLOTAXISWhy the Fibonacci Numbers and the Golden Ratio Occur on Plantsby Irving Adler, foreword by Stephen L Adler (Institute for Advanced Study, USA), diagrams by Peggy Adler

“The contents of this book confirms Irving Adler’s position as an original researcher in this field and also a first class expositor. But non-specialists in this field would find it easier to grasp the essential principles of this topic if they were to begin by reading it from back to front. This is because the later articles are of an introductory nature for readers with little prior knowledge of this botanical discipline. Adding to the readability of this book is the historical commentary that pervades it from start to finish. This collection of articles and papers are the hallmark of a fine expositional writer in the field of pure and applied mathematics.”

MAA Review

Readership: Students, researchers and readers interested in the structure of plants and phyllotaxis.

224pp Jul 2012978-981-4407-62-5 US$98 £65

Series on the Science of Climate Change - Vol. 2MOIST PROCESSES IN THE CLIMATE SYSTEMA Global Perspective from Earth Observationsedited by Graeme L Stephens (Colorado State University, USA)

The volume deals with the understanding the moist processes that determine the supply of water to the atmosphere and back to the surface. The observations of the distribution and variability of clouds and precipitation has emerged as a priority in Earth observational programs. Our ability to observe the amount of water vapor, and the properties of clouds and precipitation by satellites that presently orbit the Earth is unprecedented in the history of space-borne Earth observations. These new capabilities are now delivering important new insights on how water cycles through the Earth’s atmosphere and a firmer basis to predict how this water cycle evolves and thus how it may change with climate change.

Readership: Graduates and postgraduates in environmental science courses; researchers studying climatology and atmospheric changes.

220pp Dec 2014978-1-84816-551-9 US$97 £67

World Scientific Series on Nonlinear Science, Series ACONTINUOUS AND DISCONTINUOUS PIECEWISE-SMOOTH ONE-DIMENSIONAL MAPSInvariant Sets and Bifurcation Structuresby Viktor Avrutin (University of Stuttgart, Germany), Laura Gardini(University of Urbino, Italy), Michael Schanz (University of Stuttgart, Germany), Irina Sushko (National Academy of Sciences of Ukraine, Ukraine) & Fabio Tramontana (University of Urbino, Italy)

Contents: Introduction: Continuous and Discontinuous Piecewise-Smooth and Especially Piecewise-Linear Models (An Overview). Bifurcations in Piecewise Smooth Systems; General Concepts: Border Collision and Crisis Bifurcations, Map Replacement Technique; Continuous Piecewise-Linear Maps: Bifurcation Structures in Regular and Chaotic Domains; Discontinuous Piecewise-Linear Maps: Period Adding and Bandcount Adding Bifurcation Structures; Discontinuous Piecewise-Linear Maps: Period Increment and Bandcount Increment Bifurcation Structures; Multi-Dimensional Parameter Spaces and Their Organizing Centers.

Readership: Researchers and graduate students working in the field of piecewise-smooth systems.

400pp Jun 2014978-981-4368-82-7 US$120 £79

:: TextbookTOPOLOGICAL QUANTUM COMPUTINGMaking Quantum Computers Robust by Manipulating Quantum Bits in Topological Quantum Fieldsby Hugo de Garis (Xiamen University, China)

Quantum computers promise to offer exponentially superior computing capacities but there are no large scale quantum computers today due to the “decoherence” problem. However, non Abelian anyons (quasi particles) have recently been shown to have the required properties in the Fractional Quantum Hall Effect (FQHE) to be able to implement topological quantum computing (TQC). Hence in a few years, all computer science departments around the world will have to teach TQC principles — such is the importance of the performance superiority of quantum computers as opposed to classical computers. Topological Quantum Computing is the first book of its kind, dealing with mathematical, physics and computing principles needed to understand TQC, which will revolutionize both computer science and its teaching.

Readership: Graduate students, educators and researchers in the areas of computer science, quantum computing and mathematical physics.

500pp Sep 2014978-981-4324-40-3 US$108 £71

:: TextbookNON-COMMUTATIVE GEOMETRYA Perspective on String and Field Theoriesby Supriya Kar (University of Delhi, India)

This book provides a systematic, comprehensive and up-to-date account of the recent developments in non-commutative geometry, at a pedagogical level.

Contents: Non-Commutative Spacetime Coordinates; Non-Commutativity in String Theory; D-branes and Spacetime Non-Commutivity; Gauge Theories on a D-brane; Non-Commutative Real Scalar QFT; Non-Commutative Complex Scalar QFT; Spontaneous Symmetry Breaking in Non-Commutative scalar QFT; Non-Commutative QED; Non-Commutative QCD.

Readership: Senior undergraduates, graduate students and researchers in theoretical, mathematical, high energy and condensed matter physics.

250pp Apr 2014978-981-238-052-4 US$47 £33

:: TextbookAdvanced Series in Mathematical PhysicsOPERADS, STRINGS AND DELIGNE’S CONJECTUREA Text for Mathematicians and Physicistsby Ralph M Kaufmann (University of Connecticut, USA)

Starting at the basic definition and gradually proceeding to advanced topics at the forefront of research, the book provides the reader with a self-contained, uniform and natural approach to the subject which makes it a valuable resource for graduate students and researchers alike.

Contents: Operads; Surfaces; Correlation functions; The Hochschild Complex; Deligne’s Conjecture and Its Generalizations; Further Applications.

Readership: Graduate students and researchers in mathematics and physics.

300pp Jun 2014978-981-277-596-2 US$73 £51

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Series on Advances in Mathematics for Applied SciencesCONTINUUM THERMODYNAMICSPart II: Applications and Exercisesby Bettina Albers (Technical University of Berlin, Germany) & Krzysztof Wilmanski (Technical University of Berlin, Germany & Rose School Pavia, Italy)

Contents: Introduction; Geometry of Deformations of Solids; Kinematics of Continua in Different Descriptions; Balance Equations; Some Solutions for Fluids and Solids; Stability; Thermomechanical Problems; Extended Thermodynamics and Hyperbolicity; Defects; Acoustic Waves; Interaction of Ponderable Bodies with Electromagnetic Fields; Mechanics of Porous Materials; Thermodynamics of Poroelastic Materials with the Balance Equation of Porosity; Final Remarks; Appendices: Basic Notions of Euclidean Geometry (Extension of Part I); Integral Transforms and Green Functions.

Readership: Materials scientists and physicists.

400pp Dec 2013978-981-4412-37-7 US$128 £84978-981-4412-38-4(ebook) US$166 £109

World Scientific Series in 20th Century Mathematics - Vol. 10FIFTY YEARS OF MATHEMATICAL PHYSICSSelected Works of Ludvig Faddeev

edited by Molin Ge (Chern Institute of Mathematics, China & Chinese Academy of Science, China) & Antti J Niemi (UppsalaUniversity, Sweden & CNRS/Tours, France)

This unique volume summarizes with a historical perspective several of the major scientific achievements of Ludvig Faddeev, with a foreword by Nobel Laureate C N Yang. The volume that spans over fifty years of Faddeev’s career begins where he started his own scientific research, in the subject of scattering theory and the three body problem. It then continues to describe Faddeev’s contributions to automorphic functions, followed by an extensive account of his many fundamental contributions to field theory including his original article on ghosts with Popov. Faddeev’s contributions to soliton theory and integrable models are then described, followed by a survey of his work on quantum groups. The final scientific section is devoted to Faddeev’s contemporary research including articles on his long-term interest in constructing knotted solitons and understanding confinement. The volume concludes with his personal view on science and mathematical physics in particular.

Readership: Graduate students and researchers in the interface of mathematics with mathematical and theoretical physics.

500pp Mar 2014978-981-4340-95-3 US$138 £90

BACK-OF-THE-ENVELOPE QUANTUM MECHANICSWith Extensions to Many-Body Systems and Integrable PDEsby Maxim Olshanii (University of Massachusetts Boston, USA)

The aim of this book is to teach the craft of qualitative analysis using a set of problems, some with solutions and some without, in advanced undergraduate and beginning graduate Quantum Mechanics.

Contents: WKB Approximation; “Halved” Harmonic Oscillator: A Case Study; Perturbation Theory; Variational Problems; Gravitational Well: A Case Study; Some Exotic Exactly Solvable Problems; Mean-Field Theories; Integrable Nonlinear Partial Differential Equations.

Readership: Advanced undergraduate and beginning graduate students in physics.

150pp Sep 2013978-981-4508-46-9 US$38 £25978-981-4508-47-6(ebook) US$49 £33

:: TextbookImperial College Press Advanced Physics TextsSYMMETRY, GROUPS, AND REPRESENTATIONS IN PHYSICSby Dimitri D Vvedensky & Timothy S Evans (Imperial College London, UK)

This book is an introduction to symmetry in physics based on discrete and continuous groups. No knowledge of algebra is assumed and the book is suitable for both beginning and advanced graduate students. In fact, at Imperial College, the notes on which this book is based have been thoroughly tested in the classroom by two lecturers with quite different backgrounds (condensed matter theory and field theory) to classes composed of third- and fourth-year undergraduate students as well as students from the MSc in Quantum Fields and Fundamental Forces program. Abundant exercises, all with detailed solutions that are available in a separate instructor’s manual, are included to illustrate the concepts introduced in the main text, to extend some of the main results, and to introduce new ideas. One of the main themes in the book is the application of group theory to physical problems.

Readership: Undergraduate and graduate students in group theory.

350pp Nov 2013978-1-84816-371-3 US$77 £53

:: TextbookInterdisciplinary Research on Particle Collisions and Quantitative Spectroscopy - Vol. 2FAST COLLISIONS OF LIGHT IONS WITH MATTERCharge Exchange and Ionizationby Dževad Belki (Karolinska Institute, Sweden)

The present book is aimed to match the growing demand from theory and experiment, as motivated by high relevance for fundamental physics as well as for other fields such as fusion, medicine, etc. The overall emphasis in this book is not on compilation of cross sections, but rather on collisional mechanisms involving ions and atoms at high non-relativistic energies. The principal outlines for extensions of the analyzed theories’ molecular targets (e.g. water) are also presented for the needs of hadron therapy.

Readership: Graduate students and researchers working on several branches of science and technology: radiation physics, accelerator-based physics, new sources of energy, high-temperature fusion of light ions, and cancer therapy.

375pp Oct 2013978-981-4366-04-5 US$110 £73

PATH INTEGRALS, HYPERBOLIC SPACES AND SELBERG TRACE FORMULAE2nd Editionby Christian Grosche (Universität Hamburg, Germany & Stadtteilschule Walddörfer, Germany)

Contents: Introduction; Path Integrals in Quantum Mechanics; Separable Coordinate Systems; Path Integrals in Pseudo-Euclidean Geometry; Path Integrals in Euclidean Spaces; Path Integrals on Spheres; Path Integrals on Hyperboloids; Path Integrals on the Complex Sphere; Path Integrals on Hermitian Hyperbolic Space; Path Integrals on Darboux Spaces; Path Integrals on Single-Sheeted Hyperboloids; Path Integration in Homogeneous Spaces; Billiard Systems and Periodic Orbit Theory; The Selberg Trace Formula; The Selberg Super-Trace Formula; Summary and Discussion.

Readership: Graduate and researchers in mathematical physics.

380pp Oct 2013978-981-4460-07-1 US$86 £57978-981-4460-08-8(ebook) US$112 £74


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GIBBS MEASURES ON CAYLEY TREESby Utkir A Rozikov (Institute of Mathematics, Uzbekistan)

Contents: Properties of a Group Representation of the Cayley Tree; Ising Model on Cayley Tree; Ising Type Models with Competing Interactions; Information Flow on Trees; The Potts Model; The Solid-on-Solid Model; Models with Hard Constraints; Potts Model with Countable Set of Spin Values; Models with Uncountable Set of Spin Values; Contour Arguments on Cayley Trees; Other Models.

Readership: Researchers in mathematical physics, statistical physics, probability and measure theory.

400pp Sep 2013978-981-4513-37-1 US$118 £78978-981-4513-38-8(ebook) US$153 £101

:: TextbookDIFFERENTIAL MANIFOLDSA Basic Approach for Experimental Physicistsby Paul Baillon (CERN, Switzerland)

Differential Manifold is the framework of particle physics and astrophysics nowadays. It is important for all research physicists to be well accustomed to it and even experimental physicists should be able to manipulate equations and expressions in that framework.

This book gives a comprehensive description of the basics of differential manifold with a full proof of any element. A large part of the book is devoted to the basic mathematical concepts in which all necessary for the development of the differential manifold is expounded and fully proved.

This book is self-consistent: it starts from first principles. The mathematical framework is the set theory with its axioms and its formal logic. No special knowledge is needed.

Readership: Undergraduates in particle physics, astrophysics and mathematical physics.

560pp Jul 2013978-981-4449-56-4 US$86 £57

THE KOREPIN FESTSCHRIFT: FROM STATISTICAL MECHANICS TO QUANTUM INFORMATION SCIENCEA Collection of Articles Written in Honor of the 60th Birthday of Vladimir Korepinedited by Leong Chuan Kwek (National University of Singapore),Simone Severini (University College London, UK) & Haibin Su(Nanyang Technological University, Singapore)

This volume mainly summarizes the invited talks presented at the 5th Asia-Pacific Workshop on Quantum Information Science (APWQIS) in conjunction with a Festschrift in honor of Professor Vladimir Korepin’s 60th birthday. In this Festschrift, we have assembled a medley of interesting articles from some of his friends, well-wishers and collaborators. Comprising both reviews of the state-of-the-art and the latest results, this book covers various aspects of quantum information science, including topics like quantum discord, quantum computing, quantum entanglement, etc.

Readership: Undergraduate, graduate students and researchers interested in quantum information science, statistical mechanics and mathematical physics.

220pp Jun 2013978-981-4460-31-6 US$56 £37978-981-4460-32-3(ebook) US$73 £48

Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol. 24COMPLEX QUANTUM SYSTEMSAnalysis of Large Coulomb Systemsedited by Heinz Siedentop (Ludwig-Maximilians-Universität München, Germany)

This volume is based on lectures given during the program “Complex Quantum Systems” held at the National University of Singapore’s Institute for Mathematical Sciences from 17 February to 27 March 2010. It guides the reader through two introductory expositions on large Coulomb systems to five of the most important developments in the field: derivation of mean field equations, derivation of effective Hamiltonians, alternative high precision methods in quantum chemistry, modern many-body methods originating from quantum information, and — the most complex — semirelativistic quantum electrodynamics.

Readership: Mathematicians and mathematical physicists, advanced graduate students and researchers in rigorous many body theory.

304pp Jul 2013978-981-4460-14-9 US$99 £65978-981-4460-15-6(ebook) US$129 £85

STRUCTURAL ASPECTS OF QUANTUM FIELD THEORY(In 2 Volumes)by Gerhard Grensing (University of Kiel, Germany)

Contents: Volume 1: Classical Relativistic Field Theory: Kinematical Aspects; Classical Relativistic Field Theory: Dynamical Aspects; Relativistic Quantum Field Theory: Operator Methods; Nonrelativistic Quantum Mechanics: Functional Integral Methods; Relativistic Quantum Field Theory: Functional Integral Methods; Quantum Field Theory at Nonzero Temperature; Volume 2: Symmetries and Canonical Formalism; Gauge Symmetries and Constrained Systems; Weyl Quantization; Anomalies in Quantum Field Theory; Noncommutative Geometry; Quantum Groups; Noncommutative Geometry and Quantum Groups.

Readership: Graduate students and professionals in theoretical and mathematical physics.

Set1596pp Jul 2013978-981-4472-69-2 US$185 £122978-981-4472-70-8(ebook) US$241 £159

Advanced Series in Mathematical Physics - Vol. 29BOMBAY LECTURES ON HIGHEST WEIGHT REPRESENTATIONS OF INFINITE DIMENSIONAL LIE ALGEBRAS2nd Editionby Victor G Kac (Massachusetts Institute of Technology, USA), Ashok K Raina (Tata Institute of Fundamental Research, India) & NatashaRozhkovskaya (Kansas State University, USA)

Contents: Definit ion of Posit ive-Energy Representations of Vir; Complete Reducibility of the Oscillator Representations of Vir; Lie Algebras of Infinite Matrices; Boson–Fermion Correspondence; Schur Polynomials; N-Soliton Solutions; The Kac Determinant Formula; Nonabelian Generalization of Virasoro Operators: The Sugawara Construction; The Weyl–Kac Character Formula and Jacobi–Riemann Theta Functions; Completion of the Proof of the Kac Determinant Formula; Lambda–Bracket of Local Formal Distributions; Completion of U,Restricted Representations and Quantum Fields; Non-Commutative Wick Formula; Conformal Weights; Definition of a Vertex Algebra; Definition of a Representation of a Vertex Algebra; and other lectures.

Readership: Mathematicians studying representation theory and theoretical physicists.

252pp July 2013978-981-4522-18-2 US$78 £51978-981-4522-19-9(pbk) US$34 £22

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SELECTED PAPERS OF CHEN NING YANG IIWith Commentariesby Chen Ning Yang (State University of New York, Stony Brook, Chinese University of Hong Kong, Hong Kong & Tsinghua University, Beijing, China)

Since receiving his PhD from the University of Chicago in 1948, Prof Yang has made great impacts in both abstract theory and phenomenological analysis in modern physics. In 1983, he published “Selected Papers (1945–1980), With Commentary”. It has been considered by Freeman Dyson as one of his favorite books. The present book is a sequel to that earlier volume. It is a collection of his personally selected papers (1971–2012) supplemented by his insightful commentaries. Its contents reflect Professor Yang’s changing interests after he reached age sixty. It also includes commentaries written by him in 2011 when he is 89 years old.

The papers and commentaries in this unique collection comprise a remarkable personal and professional chronicle, shedding light on both the intellectual development of a great physicist and on the nature of scientific inquiry.

Readership: Graduate students and researchers in particle physics and statistical physics.

396pp Jul 2013978-981-4449-00-7 US$98 £65978-981-4449-01-4(pbk) US$48 £32978-981-4449-02-1(ebook) US$127 £85

World Scientific Series on Nonlinear Science, Series A - Vol. 84TOPOLOGY AND DYNAMICS OF CHAOSIn Celebration of Robert Gilmore’s 70th Birthdayedited by Christophe Letellier (CORIA — University of Rouen, France) & Robert Gilmore (Drexel University, USA)

The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory. Some modern applications are included. The contents are mainly devoted to topology, the main field of Robert Gilmore’s works in dynamical systems. They include a review on the topological analysis of chaotic dynamics, works done in the past as well as the very latest issues. Most of the contributors who published during the 90’s, including the very well-known scientists, Otto Rössler, René Lozi and Joan Birman, have made a significant impact on chaos theory, discrete chaos, and knot theory, respectively.

Readership: Graduate students and researchers interested in topological analysis of nonlinear dynamical systems producing chaotic attractors.

364pp Jan 2013978-981-4434-85-0 US$108 £71978-981-4434-86-7(ebook) US$140 £92

LOCAL ACTIVITY PRINCIPLEThe Cause of Complexity and Symmetry Breakingby Klaus Mainzer (Technische Universität München, Germany) & Leon Chua (University of California, Berkeley, USA)

Contents: The Local Activity Principle and the Emergence of Complexity; Local Activity and Edge of Chaos in Computer Visualization; The Local Activity Principle and the Expansion of the Universe; The Local Activity Principle and the Dynamics of Matter; The Local Activity Principle and the Evolution of Life; The Local Activity Principle and the Co-evolution of Technology; The Local Activity Principle and Innovation in the Economy and Society; The Message of the Local Activity Principle.

Readership: Graduates and readers interested in the fields of natural, computer, social and economic sciences, and philosophy.

456pp May 2013978-1-908977-09-0 US$118 £78978-1-908977-10-6(ebook) US$153 £101

:: TextbookTRANSFORMATION GROUPS AND LIE ALGEBRASby Nail H Ibragimov (BlekingeInstitute of Technology, Sweden)

This book is based on extensive experience of teaching mathematics, physics and engineering students in Russia, USA, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics. The methods of local Lie groups discussed in the book provide a universal and effective method for solving nonlinear differential equations analytically. An introduction to approximate transformation groups also contained in the book helps to develop skills in constructing approximate solutions for differential equations with a small parameter.

Readership: Professional mathematics researchers and graduate students.

196pp May 2013978-981-4460-84-2 US$46 £30

World Scientific Series on Nonlinear Science, Series A - Vol. 83ADVANCES IN WAVE TURBULENCEedited by Victor Shrira (Keele University, UK) & Sergey Nazarenko(University of Warwick, UK)

Contents: Wave Turbulence, A Story Far from Over (Alan C Newell and Benno Rumpf); Fluctuations of the Energy Flux in Wave Turbulence (S Aumaître, E Falcon and S Fauve); Wave Turbulence in Astrophysics (Sebastien Galtier); Optical Wave Turbulence (S K Turitsyn, S A Babin, E G Turitsyna, G E Falkovich, E V Podivilov and D V Churkin); Wave Turbulence in a Thin Elastic Plate: The Sound of the Kolmogorov Spectrum? (G Düring and N Mordant); Gravity Wave Turbulence in a Large Flume (R Bedard, S Lukaschuk and S Nazarenko); Towards a New Picture of Wave Turbulence (V I Shrira and S Y Annenkov).

Readership: Researchers, professionals and graduate students in mathematical physics, energy studies, solid & fluid mechanics, and complex systems.

296pp May 2013978-981-4366-93-9 US$120 £79978-981-4366-94-6(ebook) US$156 £103

Notable BacklistMODERN DIFFERENTIAL GEOMETRY FOR PHYSICISTS (2nd Edition)Chris J Isham (Imperial College London, UK)

LAGRANGIAN AND HAMILTONIAN MECHANICSM G Calkin (Dalhousie University, Canada)

PROBLEMS AND SOLUTIONS IN GROUP THEORY FOR PHYSICISTSZhong-Qi Ma (Institute of High Energy Physics, China) & Xiao-Yan Gu (Institute of High Energy Physics, China)


26

:: Bestselling TextbookSeries on Knots and Everything - Vol. 4GAUGE FIELDS, KNOTS AND GRAVITYby John Baez & Javier P Muniain (University of California, Riverside, USA)

“This book is a great introduction to many of the modern ideas of mathematical physics including differential geometry, group theory, knot theory and topology...”

Classical & Quantum Gravity

“The book is clearly written and should be accessible to readers who have a good undergraduate preparation in mathematics or physics...”


Contents: Electromagnetism: Maxwell’s Equations; Manifolds; Vector Fields; Differential Forms; Rewriting Maxwell’s Equations; DeRham Theory in Electromagnetism; Gauge Fields: Symmetry; Bundles and Connections; Curvature and the Yang-Mills Equation; Chern-Simons Theory; Link Invariants from Gauge Theory; Gravity: Semi-Riemannian Geometry; Einstein’s Equation; Lagrangians for General Relativity; The ADM Formalism; The New Variables.

Readership: Mathematicians, mathematical physicists and theoretical physicists.

480pp Oct 1994978-981-02-1729-7 US$129 £85978-981-02-2034-1(pbk) US$71 £47

:: Classic TitleAdvanced Series in Mathematical Physics - Vol. 5GEOMETRIC PHASES IN PHYSICSedited by F Wilczek (University of California, Santa Barbara, USA) & A Shapere (IAS, Princeton, USA)

This volume is a collection of original papers and reprints, with commentary, on the subject.

Contents: Introduction and Overview; Anticipations; Foundations; Some Applications and Tests; Fractional Statistics; Quantized Hall Effect; Wess-Zumino Terms and Anomalies; Classical Systems; Asymptotics.

Readership: Mathematical, high energy and condensed matter physicists.

528pp Jul 1989978-9971-5-0621-6(pbk) US$48 £32978-981-279-838-1(ebook) US$99 £65

Computational Numerical and Mathematical Methods in Sciences and Engineering - Vol. 2NUMERICAL SOLUTION OF THE SCHRÖDINGER EQUATIONNumerical Methods for Problems with Periodic or Oscillating Solutionby Theodore E Simos (University of Peloponnese, Greece)

Contents: Theory for the Construction of Numerical Methods for the Schrödinger Equation; Numerical Methods with Constant Coefficients; Numerical Methods with Coefficients Dependent on the Frequency of the Problem; Other Numerical Methods; Numerical Method for 2D Schrödinger Equation; Numerical Applications.

Readership: Applied mathematicians, physicists, chemists, material scientists and computational scientists.

500pp Apr 2014978-1-86094-697-4 US$126 £87

Advances in Process Systems Engineering - Vol. 4COMPUTATION OF MATHEMATICAL MODELS FOR COMPLEX INDUSTRIAL PROCESSESby Yu-Chu Tian (Queensland University of Technology, Australia),Tonghua Zhang, Hongmei Yao & Moses O Tade (Curtin University of Technology, Australia)

Designed for undergraduate and postgraduate students, academic researchers and industrial practitioners, this book provides comprehensive case studies on numerical computing of industrial processes and step-by-step procedures for conducting industrial computing.

Contents: Introduction; Fundamentals of Industrial Computing; Finite Difference Methods; The Wavelet-Collocation Method; The Wavelet-Galerkin Method; High Resolution Methods; Comparative Studies of Various Methods.

Readership: Students, academics and practitioners in the field of chemical and industrial engineering.

500pp Feb 2014978-981-4360-93-7 US$150 £99

THE NUMERICAL SOLUTION OF THE AMERICAN OPTION PRICING PROBLEMFinite Difference and Transform Approaches

by Carl Chiarella, Boda Kang (University of Technology, Australia) &Gunter H Meyer (Georgia Institute of Technology, USA)

The early exercise opportunity of an American option makes it challenging to price. The Numerical Solution of the American Option Pricing Problemfocuses on three numerical methods that have proved useful for the numerical solution of the partial differential equations with free boundary problem arising in American option pricing, namely the method of lines, the sparse grid approach and the integral transform approach. It clearly explains and demonstrates the advantages and limitations of each of them using several examples.

Readership: Post-graduates or researchers in finance and applied mathematics with interest in numerical methods for American option pricing; mathematicians/physicists doing applied research in option pricing

450pp Feb 2014978-981-4452-61-8 US$132 £87978-981-4452-62-5(ebook) US$172 £113

NUMERICAL ANALYSIS & COMPUTATIONAL MATHEMATICS

CHAOS, CNN, MEMRISTORS AND BEYONDA Festschrift for Leon ChuaWith DVD-ROM, composed by Eleonora Bilottaedited by Andrew Adamatzky (University of the West of England, UK) & Guanrong Chen (City University of Hong Kong, China)

This invaluable book is a unique collection of tributes to outstanding discoveries pioneered by Leon Chua in nonlinear circuits, cellular neural networks, and chaos. The book is quintessence of ideas on future and emergent hardware, analytic theories of complex dynamical systems and interdisciplinary physics. It is a true Renaissance volume where bright ideas of electronics, mathematics and physics enlighten facets of modern science.

Readership: Graduate students, researchers and academics in all engineering disciplines as well as historians of science.

564pp Jan 2013978-981-4434-79-9 US$134 £88978-981-4434-80-5(ebook) US$174 £114

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APPLICABLE ATMOSPHERIC DYNAMICSTechniques for the Exploration of Atmospheric Dynamicsby Istvan Szunyogh (Texas A&M University, USA)

This book offers an overview of advanced techniques to study atmospheric dynamics by numerical experimentation. It is primarily intended for scientists and graduate students working on interdisciplinary research problems at the intersection of the atmospheric sciences, applied mathematics, statistics and physics. Scientists interested in adopting techniques from the atmospheric sciences to study other complex systems may also find most of the topics covered in the book interesting. The specific techniques covered in the book have either proven or potential value in solving practical problems of atmospheric dynamics.

Readership: Researchers and graduate students in the fields of atmospheric sciences, physics, applied mathematics, statistics and scientific computing; academics and industrial researchers working with complex systems.

400pp Nov 2013978-981-4335-69-0 US$98 £61

Series in Analysis - Vol. 4MATHEMATICAL FOUNDATION AND APPLICATIONS OF THE P AND H-P FINITE ELEMENT METHODSby Benqi Guo (University of Manitoba, Canada)

The book is based on the author’s research on the p and h-p finite element methods over the past three decades. This includes the recently established approximation theory in Jacobi-weighted Sobolev and Besov spaces and rigorous proof of the optimal convergence of the p and h-p finite element method with quasi-uniform meshes for elliptic problems on polygonal domains. Indeed, these have now become the mathematical foundation of the high-order finite/boundary element method. In addition, the regularity theory in the countably Babuska-Guo-weighted Sobolev spaces, which the author established in the mid-1980s, provides a unique mathematical foundation for the h-p finite element method with geometric meshes and leads to the exponential rate of convergence for elliptic problems on polygonal domains.

Readership: Graduate students and researchers interested in computational mathematics and analysis.

400pp Nov 2013978-981-283-893-3 US$107 £74

:: TextbookAdvanced Series on Ocean Engineering - Vol. 37COMPUTATIONAL WAVE DYNAMICSby Hitoshi Gotoh (Kyoto University, Japan), Akio Okayasu(Tokyo University of Marine Science and Technology, Japan) & Yasunori Watanabe (Hokkaido University, Japan)

Contents: Theories of Flows in Ocean Waves; Turbulence Models; Numerical Strategies to Compute Free-Surface / Interface; Fundamentals of Computational Methods; Applied Computations of Breaking Waves; Sediment Transport and Wave-Structure Interactions; Computing Techniques of Volume of Fluid (VOF); Constrained Interpolation Profile (CIP); Lagrangian Particle (SPH, MPS); Distinct Element (DEM) and Euler-Lagrange Hybrid Methods; Computational Wave Dynamics for Coastal and Ocean Research.

Readership: Students (advanced undergraduate and above) of Coastal and Ocean Engineering, and Professionals.

250pp Jun 2013978-981-4449-70-0 US$54 £36

COMPUTATIONAL METHODS IN NONLINEAR ANALYSISEfficient Algorithms, Fixed Point Theory and Applicationsby Ioannis K Argyros (Cameron University, USA) & Saïd Hilout (Poitiers University, France)

This book is intended for researchers in computational sciences, and as a reference book for an advanced computational methods in nonlinear analysis.

Contents: Kantorovich Theory for Newton-Like Methods; Hölder Conditions and Newton-Type Methods; Regular Smoothness Conditions for Iterative Methods; Fixed Point Theory and Iterative Methods; Mathematical Programming; Fixed Point Theory for Set-Valued Mapping; Special Convergence Conditions; Recurrent Functions and Newton-Like Methods; Recurrent Functions and Special Iterative Methods.

Readership: Graduate students and researchers in computational mathematics and nonlinear analysis.

550pp Jun 2013978-981-4405-82-9 US$158 £104978-981-4405-83-6(ebook) US$205 £135

Advances in Computational Fluid Dynamics - Vol. 3LATTICE BOLTZMANN METHOD AND ITS APPLICATIONS IN ENGINEERINGby Zhaoli Guo (Huazhong University of Science and Technology, China) & Chang Shu (National University of Singapore)

Contents: Introduction; Initial and Boundary Conditions for Lattice Boltzmann Method; Improved Lattice Boltzmann Models; Sample Applications of LBE for Isothermal Flows; LBE for Low Speed Flows with Heat Transfer; LBE for Compressible Flows; LBE for Multiphase and Multi-component Flows; LBE for Microscale Gas Flows; Other Applications of LBE.

Readership: Graduate students, researchers and academics in the field of mechanical engineering, fluid mechanics, MEMS/NEMS, computational physics and applied mathematics.

420pp Mar 2013978-981-4508-29-2 US$95 £63978-981-4508-30-8(ebook) US$124 £82

:: TextbookCOMPUTATIONAL METHODS FOR TWO-PHASE FLOW AND PARTICLE TRANSPORT(With CD-ROM)by Wen Ho Lee (National Cheng Kung University, Tainan, Taiwan & Feng Chia University, Taichung, Taiwan)

Contents: Introduction; Differential Equations of the Two-Phase Flow System; Finite Differences of the Governing Equations; A Pressure Iteration Scheme for Two-Phase Flow Modeling; Pollution Particle Transport; Nuclear Fission; Radiation Hydrodynamics; Natural Convection between Two Heated Vertical Plates; Appendices: The Two-Phase Flow Computer Code; Photon Transport; Charge Particle Transport; Neutron Transport.

Readership: Undergraduate and graduate students studying mechanical engineering; professionals dealing with fluid mechanics, nuclear physics, and plasma physics in their day-to-day encounters — particularly the use of two-phase flows, and particle transport.

472pp May 2013978-981-4460-27-9(pbk) US$78 £51


28

Series on Theoretical Computer Science - Vol. 2ALGORITHMICS OF MATCHING UNDER PREFERENCESby David F Manlove (University of Glasgow, UK)

Contents: Preliminary Definitions, Results and Motivation; Stable Matching Problems: The Stable Marriage Problem: An Update; SM and HR with Indifference; The Stable Roommates Problem; Further Stable Matching Problems; Other Optimal Matching Problems: Pareto Optimal Matchings; Popular Matchings; Profile-Based Optimal Matchings.

Readership: Students and Professionals interested in algorithms, especially in the study of algorithmic aspects of matching problems with preferences.

524pp Mar 2013978-981-4425-24-7 US$68 £45978-981-4425-25-4(ebook) US$88 £59

Interdisciplinary Mathematical Sciences - Vol. 14RECENT DEVELOPMENTS IN COMPUTATIONAL FINANCEFoundations, Algorithms and Applicationsedited by Thomas Gerstner & Peter Kloeden (Goethe University Franfurt am Main, Germany)

Computational finance is an interdisciplinary field which joins financial mathematics, stochastics, numerics and scientific computing. Its task is to estimate as accurately and efficiently as possible the risks that financial instruments generate. This volume consists of a series of cutting-edge surveys of recent developments in the field written by leading international experts. These make the subject accessible to a wide readership in academia and financial businesses.

The book consists of 13 chapters divided into 3 parts: foundations, algorithms and applications. Besides surveys of existing results, the book contains many new previously unpublished results.

Readership: Graduate students and researchers in finance, engineering and operations research.

480pp Nov 2012978-981-4436-42-7 US$135 £89978-981-4436-43-4(ebook) US$176 £116

:: TextbookTHE GUIDE TO PAMIRTheory and Use of Parameterized Adaptive Multidimensional Integration Routinesby Stephen L Adler (Institute for Advanced Study, USA)

PAMIR (Parameterized Adaptive Multidimensional Integration Routines) is a suite of Fortran programs for multidimensional numerical integration over hypercubes, simplexes, and hyper-rectangles in general dimension p, intended for use by physicists, applied mathematicians, computer scientists, and engineers. The programs, which are available on the internet at www.pamir-integrate.com and are free for non-profit research use, are capable of following localized peaks and valleys of the integrand. Each program comes with a Message-Passing Interface (MPI) parallel version for cluster use as well as serial versions.

Readership: Undergraduate, graduate students, researchers and academics interested in using PAMIR.

216pp Oct 2012978-981-4425-03-2 US$58 £38978-981-4425-04-9(pbk) US$28 £18

World Scientific Series on Nonlinear Science, Series A - Vol. 85A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM’S NEW KIND OF SCIENCE (Vol. VI)This invaluable volume ends the quest to uncover the secret recipes for predicting the long-term evolution of a ring of identical elementary cells where the binary state of each cell during each generation of an attractor (i.e. after the transients had disappeared) is determined uniquely by the state of its left and right neighbors in the previous generation, as decreed by one of 256 truth tables. As befitting the contents aimed at school children, it was found pedagogically appealing to code each truth table by coloring each of the 8 vertices of a cubical graph in red (for binary state 1), or blue (for binary state 0), forming a toy universe of 256 Boolean cubes, each bearing a different vertex color combination.

Readership: Students, researchers, academics as well as laymen interested in nonlinear dynamics, computer science and complexity theory.

330pp Jun 2013978-981-4460-87-3 US$86 £57

OPTIMIZATION & CONTROL THEORY

QUALITATIVE COMPUTINGA Computational Journey into Nonlinearityby Françoise Chatelin (Université de Toulouse, France & CERFACS, France)

Contents: Introduction to Qualitative Computing; Hypercomputation in Dickson Algebras; Variable Complexity within Noncommutative Dickson Algebras; Singular Values for the Multiplication Maps; Computation Beyond Classical Logic; Complexification of the Arithmetic; Homotopic Deviation in Linear Algebra; The Discrete and the Continuous; Arithmetic in the Four Dickson Division Algebras; The Real and the Complex; The Organic Logic of Hypercomputation; The Organic Intelligence in Numbers.

Readership: Graduate students and researchers in applied and pure mathematics.

600pp Jun 2012978-981-4322-92-8 US$148 £98978-981-4322-93-5(ebook) US$192 £127

:: Bestseller

Series on Applied Mathematics - Vol. 20PARTITIONS Optimality and ClusteringVol II: Multi-Parameterby Frank K Hwang (National Chiao-Tung University, Taiwan), UrielG Rothblum (Technion, Israel) & Hong-Bin Chen (Academia Sinica, Taiwan)

Contents: Bounded-Shape Sum-Partition Problems: Polyhedral Approach; Constrained-Shape and Single-Size Sum-Partition Problems: Polynomial Approach; Partitions over Multi-Parameter Spaces: Combinatorial Structure; Clustering Problems over Multi-Parameter Spaces; Sum-Multipartition Problems over Single-Parameter Spaces; Applications.

Readership: Researchers and practitioners in computer science, operations research, applied mathematics and industrial engineering.

304pp Jun 2013978-981-4412-34-6 US$99 £65978-981-4412-35-3(ebook) US$129 £85

VolVI

29

Series on Stability Vibration and Control of Systems, Series A - Vol. 19NEW TRENDS IN CONTROL THEORYby Vladimir G Ivancevic (Defence Science & Technology Organisation, Australia) & Tijana T Ivancevic (Tesla Science Evolution Institute, Australia)

This is a graduate-level monographic textbook. It is a contemporary overview of modern trends in control theory. The introductory chapter gives the geometrical and quantum background, which is a necessary minimum for comprehensive reading of the book. The second chapter gives the basics of classical control theory, both linear and nonlinear. The third chapter shows the key role that Euclidean group of rigid motions plays in modern robotics and biomechanics. The fourth chapter gives an overview of modern quantum control, from both theoretical and measurement perspectives. The fifth chapter presents modern control and synchronization methods in complex systems and human crowds. The appendix provides the rest of the background material complementary to the introductory chapter.

Readership: Graduate students and researchers in applied mathematics, engineering, computer science, and physics.

736pp Nov 2012978-981-4425-94-0 US$148 £98978-981-4425-95-7(ebook) US$192 £127

:: BestsellerImperial College Press Optimization Series - Vol. 2EXAMPLES IN MARKOV DECISION PROCESSESby A B Piunovskiy (The University of Liverpool, UK)

“This remarkable and intriguing book is highly recommended. Some examples are aimed at undergraduate students, whilst others will be of interest to advanced undergraduates, graduates and research students in probability theory, optimal control and applied mathematics, looking for a better understanding of the theory; experts in Markov decision processes, professional or amateur researchers. Active researchers can refer to this book on applicability of mathematical methods and theorems.”


Contents: Finite-Horizon Models; Homogeneous Infinite-Horizon Models: Expected Total Loss; Homogeneous Infinite-Horizon Models: Discounted Loss; Homogeneous Infinite-Horizon Models: Average Loss and Other Criteria.

Readership: Advanced undergraduates, graduates and research students in applied mathematics; experts in Markov decision processes.

308pp Sep 2012978-1-84816-793-3 US$89 £59978-1-84816-794-0(ebook) US$116 £77

:: TextbookINTRODUCTION TO THE FRACTIONAL CALCULUS OF VARIATIONSby Agnieszka B Malinowska (Bialystok University of Technology, Poland) & Delfim F M Torres (University of Aveiro, Portugal)

Contents: The Classical Calculus of Variations; Fractional Calculus of Variations via Riemann–Liouville Operators; Fractional Calculus of Variations via Caputo Operators; Other Approaches to the Fractional Calculus of Variations; Towards a Combined Fractional Mechanics and Quantization.

Readership: Advanced undergraduate, graduate students and researchers in mathematics, physics, operations research and applied sciences.

292pp Sep 2012978-1-84816-966-1 US$80 £53

PRACTICAL POPULATION GENETICSGenetic Data Analysis for the Evolutionary Biologistby Mark Beaumont (University of Bristol, UK)

There is substantial interest in the application of different statistical methods to model and understand population genetic data. This book aims to fill the vacant niche in books dealing with the application of methods imported from computational statistics that have become very popular in the last ten years in population genetic analysis.

An introductory background on evolutionary theory is provided, complete with examples and thought-provoking questions that will enable the readers to explore the current data in this field. This text also guides the reader to understand the type of questions that can be answered by particular data sets, urging readers to discover the power that resides in this very data that can answer their questions, and warning them of the potential pitfalls. At the same time, the book provides practical information on the application of popular software packages. Readers are invited to download example data sets in search of real data on the web.

Readership: Advanced undergraduates, postgraduates, academics and researchers.

300pp Jun 2014978-1-84816-867-1 US$102 67

CONSUMER BEHAVIOR, BRANDING AND COUNTERFEITINGby Xuemei Bian (University of Hull, UK) & Luiz Moutinho (University of Glasgow, UK)

Counterfeiting, which has emerged as a recent global phenomenon, has arisen due to economic liberalisation, the changing nature of society and new competitive structures. Branding has become an increasingly important area of research in marketing as well as a crucial decision-making area in strategic marketing management. Counterfeit-related activities challenge the existing theoretical and methodological framework in many ways, particularly consumer behavior and branding. This book brings together the three areas — counterfeiting, branding and consumer behaviour — within a very robust methodological and statistical modelling framework.

Readership: Students and researchers studying marketing courses, managers handling new product development, general public interested in knowing about counterfeiting.

350pp May 2014978-981-4287-03-6 US$107 £74

PROBABILITY & STATISTICS

:: TextbookTECHNICAL ANALYSIS AND FINANCIAL ASSET FORECASTINGFrom Simple Tools to Advanced Techniquesby Raymond Hon Fu Chan, Spike Tsz Ho Lee (The Chinese University of Hong Kong, Hong Kong) & Wing-Keung Wong (Hong Kong Baptist University, Hong Kong)

Contents: Introduction to Technical Analysis; The Primary Tools for Technical Analysis; Chart Pattern Reading — Trend, Trend Line and Trend Channel; Chart Pattern Reading — Identifying Important Chart Patterns; Linear Filters; Momentum Indicators; Moving Averages; Wavelets in Financial Market Trading; Bollinger Bands and Relative Strength Index; Unraveling Mysticism in Gann’s Theory: Prophecy of Stock Market Trends; Standardized Yield Differential Indicator; Empirical Mode Decomposition in Financial Time Series; Other Trading Methods in Technical Analysis.

Readership: Undergraduates, postgraduates, and researchers in the fields of technical analysis and financial markets.

300pp Feb 2014978-981-4436-24-3 US$58 £38


30

WEAK CONVERGENCE AND ITS APPLICATIONby Zhengyan Lin & Hanchao Wang (Zhejiang University, China)

Weak convergence of stochastic processes is one of most important theories in probability theory. Not only probability experts but also more and more statisticians are interested in it. In the study of statistics and econometrics, some problems cannot be solved by the classical method. In this book, we will introduce some recent development of modern weak convergence theory to overcome defects of classical theory.

Contents: The Definition and Basic Properties of Weak Convergence; The Theory on the Convergence to the Independent Increment Processes; The Theory on the Convergence of Semimartingales; Weak Convergence of Empirical Processes.

Readership: Graduate students and researchers in probability & statistics and econometrics.

250pp Feb 2014978-981-4447-69-0 US$64 £42978-981-4447-70-6(ebook) US$83 £55

NONLINEAR MIXTURE MODELSA Bayesian Approachby Tatiana Tatarinova (University of Glamorgan, UK) & AlanSchumitzky (University of Southern California, USA)

This book provides a broad introduction to the important subject of nonlinear mixture models from a Bayesian perspective. It contains background material, a brief description of Markov chain theory, as well as novel algorithms and their applications. It is self-contained and unified in presentation, which makes it ideal for use as an advanced textbook by graduate students and as a reference for independent researchers. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature.

Readership: Graduate students and researchers in bioinformatics, mathematical biology, probability and statistics, mathematical modeling, pharmacology/pharmacy.

250pp Dec 2013978-1-84816-756-8 US$90 £59

Statistical Science and Interdisciplinary Research - Vol. 14STATISTICAL PARADIGMSRecent Advances and Reconciliationsedited by Ashis SenGupta, Tapas Samanta & Ayanendranath Basu(Indian Statistical Institute, India)

This volume consists of a collection of research articles on classical and emerging Statistical Paradigms — parametric, non-parametric and semi-parametric, frequentist and Bayesian — encompassing both theoretical advances and emerging applications in a variety of scientific disciplines. For advances in theory, the topics include: Bayesian Inference, Directional Data Analysis, Distribution Theory, Econometrics and Multiple Testing Procedures. The areas in emerging applications include: Bioinformatics, Factorial Experiments and Linear Models, Hotspot Geoinformatics and Reliability.

Readership: Researchers, professionals and advanced students working on Bayesian and frequentist approaches to statistical modeling and on interfaces for both theory and applications.

250pp Nov 2013978-981-4343-95-4 US$96 £62

:: TextbookINTRODUCTORY COURSE ON FINANCIAL MATHEMATICSby M V Tretyakov (University of Nottingham, UK)

Contents: Financial Instruments and Arbitrage: Time Value of Money; Forwards, Futures and Arbitrage; Bonds and Swaps; European Options; Discrete-Time Stochastic Modeling and Pricing Options: Binary Model of Price Evolution; Elements of Probability Theory; Discrete-Time Stochastic Processes; Application of Martingales and First Fundamental Theorem of Asset Pricing; Pricing and Hedging European Options on Binary Trees; Complete and Incomplete Markets; Capital Asset Pricing Model; American Options; Continuous-Time Stochastic Modelling and Black-Scholes Formula: Efficient Market Hypothesis; Probabilistic Model for Experiments with Infinitely Many Outcomes; Central Limit Theorem and Its Application; Wiener Process; Geometric Brownian Motion; Ito Integral and Stochastic Differential Equation; Ito Formula; Black-Scholes Equation; Greeks.

Readership: Undergraduate and postgraduate students taking a course in financial mathematics.

200pp Sep 2013978-1-908977-38-0 US$48 £32

STOCHASTIC SIMULATION OPTIMIZATION FOR DISCRETE EVENT SYSTEMSPerturbation Analysis, Ordinal Optimization, and Beyondedited by Chun-Hung Chen (George Mason University, USA), Qing-ShanJia (Tsinghua University, China) & Loo Hay Lee (National University of Singapore)

Contents: Part I: Perturbation Analysis: IPA Calculus for Hybrid Systems; Smoothed Perturbation Analysis: A Retrospective and Prospective Look; Perturbation Analysis and Variance Reduction in Monte Carlo Simulation; Adjoints and Averaging; Infinitesimal Perturbation Analysis in On-Line Optimization; Simulation-based Optimization of Failure-Prone Continuous Flow Lines; Perturbation Analysis, Dynamic Programming, and Beyond; Part II: Ordinal Optimization : Fundamentals of Ordinal Optimization; Optimal Computing Budget Allocation; Nested Partitions; Applications of Ordinal Optimization.

Readership: Professionals in industrial and systems engineering, graduate reference for probability & statistics, stochastic analysis and general computer science, and research.

274pp Jun 2013978-981-4513-00-5 US$88 £58978-981-4513-01-2(ebook) US$114 £75

HEALTH ASSESSMENT OF ENGINEERED STRUCTURESBridges, Buildings and Other Infrastructuresedited by Achintya Haldar (University of Arizona, USA)

Health Assessment of Engineered Structures has become one of the most active research areas and has attracted multi-disciplinary interest. This book covers some of the most recent developments (theoretical and experimental) and application potentials in structural health assessment. It is designed to present currently available information in an organised form to interested parties who are not experts in the subject.

Readership: Students (undergraduate and graduate), researchers (academic and industrial), and practitioners (government and private) interested in structural engineering.

352pp May 2013978-981-4439-01-5 US$95 £63978-981-4439-02-2(ebook) US$124 £82

31

RANDOM WALK IN RANDOM AND NON-RANDOM ENVIRONMENTS3rd Editionby Pál Révész (Technische Universität Wien, Austria & Rényi Institute Budapest, Hungary)

Reviews of the Previous Editions:

“This useful and fasc inat ing monograph g ives a deta i led description of the latest results on a broad spectrum of problems concerning the simple random walk {Sn} on the lattice Zd and their relation (invariance principle) to analogous problems for Brownian motion. Perhaps half of these results are proved in full detail. Many results appear here for the first time in book form. The book is very readable.”

J H B KempermanSIAM Review, USA

“The book will be useful to the many devotees of random walk and should attract more people to the area.”

H Kesten (1-CRNL)Mathematical Reviews

Readership: Graduate students and researchers in probability theory and statistical physics.

420pp Mar 2013978-981-4447-50-8 US$86 £57978-981-4447-51-5(ebook) US$112 £74

INEQUALITIES IN ANALYSIS AND PROBABILITYby Odile Pons (INRA, France)

The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequalities, with sharper bounds and generalizations to the sum or the supremum of random variables, to martingales and to transformed Brownian motions. The proofs of the new results are presented in great detail.

Readership: Graduate students and researchers in probability and integration theory.

232pp Nov 2012978-981-4412-57-5 US$99 £65978-981-4412-58-2(ebook) US$129 £85

Notable BacklistMATRIX ALGEBRA AND ITS APPLICATIONS TO STATISTICS AND ECONOMETRICSC Radhakrishna Rao (Pennsylvania State University, USA) & M Bhaskara Rao (North Dakota State University, USA)

GREEN, BROWN, AND PROBABILITY AND BROWNIAN MO-TION ON THE LINEKai Lai Chung (Stanford University, USA)

RUIN PROBABILITIES (2nd Edition)by Søren Asmussen (Aarhus University, Denmark) & Hansjörg Albrecher (University of Lausanne, Switzerland)

:: BestsellerEXTREME VALUE DISTRIBUTIONSTheory and Applicationsby Samuel Kotz (The George Washington University, USA) & Saralees Nadarajah(The University of Nottingham, UK)

“Extreme Value Distributions is a well-organized, workmanlike treatment of the subject … Researchers who need to deal with extreme value problems but are novice statisticians will greatly appreciate the clarity of presentation in this book and will wish to obtain copy.”

The Statisticians, Royal Society of Statistics

“The wealth of material and the critical comments by the authors on the various problems considered in the monograph should make it a valuable resource even for a specialist.”


Readership: Applied probabilists, applied statisticians, environmental scientists, climatologists, industrial engineers and management experts.

196pp Oct 2000978-1-86094-224-2 US$70 £46

Series in Quantitative Finance - Vol. 4SIMULATING COPULASStochastic Models, Sampling Algorithms, and Applicationsby Jan-Frederik Mai (Assenagon Credit Management GmbH, Germany) & MatthiasScherer (Technische Universität München, Germany)

This book provides the reader with a background on simulating copulas and multivariate distributions in general. It unifies the scattered literature on the simulation of various families of copulas (elliptical, Archimedean, Marshall-Olkin type, etc.) as well as on different construction principles (factor models, pair-copula construction, etc.).

Contents: Introduction; Archimedean Copulas; Marshall–Olkin Copulas; Elliptical Copulas; Pair Copula Constructions; Sampling Univariate Random Variables; The Monte Carlo Method.

Readership: Advanced undergraduate and graduate students in probability calculus and stochastics, practitioners who implement models in the financial industry and scientists.

312pp Jun 2012978-1-84816-874-9 US$108 £71978-1-84816-875-6(ebook) US$140 £92

Advanced Series on Statistical Science and Applied Probability - Vol. 3ESSENTIALS OF STOCHASTIC FINANCEFacts, Models, Theoryby Albert N Shiryaev(Steklov Mathematical Institute, Russia & Moscow State University, Russia)

“… as an encyclopedia of results and methods for financial analysis it is very impressive and certainly very useful as well.”

Mathematics Abstracts

“This is a remarkable text, containing a huge amount of interesting material on modern stochastic finance. Especially the young (novice) researcher in the field will find it a very useful basis of results essential for further research…”

International Statistical Institute

“It is a very comprehensive survey of the results from the theories of stochastic processes, time series and related statistical procedures relevant to finance applications…”


Contents: Facts. Models: Main Concepts, Structures, and Instruments. Aims and Problems of Financial Theory and Financial Engineering; Stochastic Models. Discrete Time; Stochastic Models. Continuous Time; Statistical Analysis of Financial Data; Theory: Theory of Arbitrage in Stochastic Financial Models. Discrete Time; Theory of Pricing in Stochastic Financial Models. Discrete Time; Theory of Arbitrage in Stochastic Financial Models. Continuous Time; Theory of Pricing in Stochastic Financial Models. Continuous Time.

Readership: Undergraduates and researchers in probability and statistics; applied, pure and financial mathematics; economics; chaos.

852pp Jan 1999978-981-02-3605-2 US$99 £65978-981-238-519-2(ebook) US$129 £85

:: Bestseller

3rdEdition


32

Advanced Series on Statistical Science and Applied Probability - Vol. 6ELEMENTARY STOCHASTIC CALCULUS, WITH FINANCE IN VIEWby Thomas Mikosch (University of Groningen, The Netherlands)

“This book under review can be determined as a very successful work … the author’s choice of the material is done with good taste and expertise … It can be strongly recommended to graduate students and practitioners in the field of finance and economics.”

Mathematics Abstracts

“… this is a well-written book, which makes the difficult object of mathematical finance easy to understand also for non-mathematicians. It might be useful for economics students and all practitioners in the field of finance who are interested in the mathematical methodology behind the Black-Scholes model.”

Statistical Papers

Contents: Preliminaries: Basic Concepts from Probability Theory; Stochastic Processes; Brownian Motion; Conditional Expectation; Martingales; The Stochastic Integral: The Riemann and Riemann–Stieltjes Integrals; The Itô Integral; The Itô Lemma; The Stratonovich and Other Integrals; Stochastic Differential Equations: Deterministic Differential Equations; Itô Stochastic Differential Equations; The General Linear Differential Equation; Numerical Solution; Applications of Stochastic Calculus in Finance: The Black–Scholes Option-Pricing Formula; A Useful Technique: Change of Measure; Appendices: Modes of Convergence; Inequalities; Non-Differentiability and Unbounded Variation of Brownian Sample Paths; Proof of the Existence of the General Itô Stochastic Integral; The Radon–Nikodym Theorem; Proof of the Existence and Uniqueness of the Conditional Expectation.

Readership: Economists, financial engineers, mathematicians and physicists.

224pp Oct 1998978-981-02-3543-7 US$58 £38

:: Solutions Manual Available A FIRST LOOK AT RIGOROUS PROBABILITY THEORY2nd Editionby Jeffrey S Rosenthal (University of Toronto, Canada)

“This is a fine textbook on probability theory based on measure theory. The parts of measure theory that are needed are developed within the book and a teacher of measure theory could find them quite useful. The construction of the Lebesgue measure (extension theorem) is unusual and interesting.”


“This short, lucid and excellent textbook should be a required course for all graduate students of mathematics and statistics as well as for interested graduate / PhD students in engineering, computer sciences, economics, and management who lack exposure to measure theoretic applications in probability theory.”

Professor B K SahuIndian Institute of Technology, India

Contents: The Need for Measure Theory; Probability Triples; Further Probabilistic Foundations; Expected Values; Inequalities and Convergence; Distributions of Random Variables; Stochastic Processes and Gambling Games; Discrete Markov Chains; More Probability Theorems; Weak Convergence; Characteristic Functions; Decomposition of Probability Laws; Conditional Probability and Expectation; Martingales; General Stochastic Processes.

Readership: Graduate students in mathematics, statistics, economics, management, finance, computer science and engineering.

236pp Nov 2006978-981-270-370-5 US$61 £40978-981-270-371-2(pbk) US$33 £22

INTRODUCTION TO STOCHASTIC CALCULUS WITH APPLICATIONS3rd Editionby Fima C Klebaner (Monash University, Australia)

This book presents a concise and rigorous treatment of stochastic calculus. It also gives its main applications in finance, biology and engineering. In finance, the stochastic calculus is applied to pricing options by no arbitrage. In biology, it is applied to populations’ models, and in engineering it is applied to filter signal from noise. Not everything is proved, but enough proofs are given to make it a mathematically rigorous exposition.

Contents: Preliminaries From Calculus; Concepts of Probability Theory; Basic Stochastic Processes; Brownian Motion Calculus; Stochastic Differential Equations; Diffusion Processes; Martingales; Calculus for Semimartingales; Pure Jump Processes; Change of Probability Measure; Applications in Finance: Stock and FX Options; Applications in Finance: Bonds, Rates and Options; Applications in Biology; Applications in Engineering and Physics.

Readership: Academics, mathematicians, advanced undergraduates, graduates, practitioners in finance, risk managers and electrical engineers.

452pp Mar 2012978-1-84816-831-2 US$98 £65978-1-84816-832-9(pbk) US$58 £38

:: Solutions Manual Available EXPECT THE UNEXPECTEDA First Course in Biostatisticsby Raluca Balan & Gilles Lamothe(University of Ottawa, Canada)

“The overall approach is sound and provides information on the background of selected statistical tests and how to do them — or not.”

The Biologist

This book puts emphasis on examples, which are presented to motivate the theory. The presentation style is concise and self-contained, briefly including the mathematical elements that are needed for studying probability and statistics. The examples are relevant to students in the life sciences with interests in genetics, biology, ecology, health, etc.

Readership: Undergraduates studying probability and statistics, especially in the life and natural sciences.

252pp Apr 2011978-981-4291-32-3 US$60 £39

Bestselling Textbooks

Notable BacklistSTATISTICS AND TRUTH (2nd Edition)Putting Chance to Workby C Radhakrishna Rao (Pennsylvania State University)

3rdEdition

33

:: TextbookELEMENTS OF STOCHASTIC FINANCETheory, Methods, and Computationby Frederi G Viens, José Enrique Figueroa-López (Purdue University, USA) & Alexandra Chronopoulou (Institut National de Recherche en Informatique et Automatique, France)

This comprehensive course on financial mathematics is aimed at beginning graduate students in any field with a good quantitative background, and is appropriate for advanced undergraduates in mathematics and statistics. It is also invaluable as a reference for practitioners in financial engineering.

Readership: Advanced undergraduates and graduates in mathematics and statistics; professionals in financial engineering.

400pp Feb 2014978-981-4307-36-9 US$78 £51978-981-4307-37-6(pbk) US$38 £25

:: TextbookCONTINUOUS-TIME MARKOV CHAINSQ-Matrix Problemby Hou Zhenting, Li Junping (Central South University, China) & ChenAnyue (University of Liverpool, UK & University of Hong Kong, Hong Kong)

This book reports the recent progress in the field of continuous-time Markov chains (CTMCs), with a comprehensive and extensive discussion on its general theory and applications.

Contents: Transition Functions and Q-Matrix; Some Basic Tools; Existence of Q-Processes: Stable Q-Matrix Case; Uniqueness of Q-Processes: Stable Q-Matrix Case; Existence and Uniqueness: Unstable Q-Matrix Case; Irreducibility and Recurrence; Ergodicity and Equilibrium Distribution; Absorbing Chains and Branching Processes; Invariant Measure and Quasi-Limiting Distributions; Reversibility and Birth-Death Processes; Monotonity and Duality; Coupling and Spectral Gap; Markovian Queues and Skip-Free Processes.

Readership: Researchers interested in the area of stochastics.

400pp Jan 2014978-981-283-806-3 US$77 £53

LECTURE NOTES ON CONTINUOUS TIME FINANCE IN ECONOMICSby Ser-Huang Poon (Manchester University, UK)

For PhD finance courses in business schools, there is equal emphasis placed on mathematical rigour as well as economic reasoning. ‘Lecture Notes on Continuous Time Finance in Economics’ provides modern treatments to five key areas of finance theories in Merton’s collection of continuous time work, viz. portfolio selection and capital market theory, optimum consumption and intertemporal portfolio selection, option pricing theory, contingent claim analysis of corporate finance, intertemporal CAPM, and complete market general equilibrium. Where appropriate, lectures notes are supplemented by other classical text such as Ingersoll (1987) and materials on stochastic calculus.

Readership: Graduates, doctoral students, researchers, academic and professionals in theoretical financial modeling in mainstream finance or derivative securities.

250pp Dec 2013978-981-4460-37-8 US$54 £36978-981-4460-38-5(ebook) US$70 £47

Advanced Series on Statistical Science and Applied Probability - Vol. 18ANALYSIS FOR DIFFUSION PROCESSES ON RIEMANNIAN MANIFOLDSby Feng-Yu Wang (Beijing Normal University, China & Swansea University, UK)

Contents: Diffusion Processes on Riemannian Manifolds; Reflecting Diffusion Processes on Riemannian Manifolds with Boundary; Coupling and Applications; Harnack Inequalities and Applications; Functional Inequalities and Applications; Formulae for the Curvature and Second Fundamental Form; Equivalent Semigroup Inequalities for the Lower Bounds of Curvature and Second Fundamental Form; Modified Curvature and Applications; Robin Semigroup and Applications; Stochastic Analysis on the Path Space Over Manifolds with Boundary; Subelliptic Diffusion Processes.

Readership: Graduate students, researchers and professionals in probability theory, differential geometry and partial differential equations.

376pp Nov 2013978-981-4452-64-9 US$98 £65978-981-4452-65-6(ebook) US$127 £85

MODELING AND PRICING OF SWAPS FOR FINANCIAL AND ENERGY MARKETS WITH STOCHASTIC VOLATILITIESby Anatoliy Swishchuk (University of Calgary, Canada)

This book is devoted to the modeling and pricing of various kinds of swaps, such as those for variance, volatility, covariance, correlation, for financial and energy markets with different stochastic volatilities, which include CIR process, regime-switching, delayed, mean-reverting, multi-factor, fractional, Levy-based, semi-Markov and COGARCH(1,1). One of the main methods used in this book is change of time method. The book outlines how the change of time method works for different kinds of models and problems arising in financial and energy markets and the associated problems in modeling and pricing of a variety of swaps.

Readership: Post-graduate level researchers and professionals with interest in the modeling and pricing of swaps for energy and financial markets.

350pp Jul 2013978-981-4440-12-7 US$110 £73978-981-4440-13-4(ebook) US$143 £95

THREE CLASSES OF NONLINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONSby Jie Xiong (University of Macau, China & The University of Tennessee, Knoxville, USA)

Contents: Introduction to Superprocesses; Superprocesses in Random Environments; Linear SPDE; Particle Representations for a Class of Nonlinear SPDEs; Stochastic Log-Laplace Equation; SPDEs for Density Fields of the Superprocesses in Random Environment; Backward Doubly Stochastic Differential Equations; From SPDE to BSDE.

Readership: Graduate students and researchers in the area of stochastic processes and applications.

176pp May 2013978-981-4452-35-9 US$46 £30978-981-4452-36-6(ebook) US$60 £39

STOCHASTIC ANALYSIS


34

Algebra & Number Theory AppliedMathematics

ALGEBRA COLLOQUIUM (AC)Print ISSN: 1005-3867

http://www.worldscientific.com/ac

This is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. This Journal carries original research articles of high level in the field of pure and applied algebra. Papers from related areas that have applications to algebra are also considered for publication. It aims to reflect the latest developments in algebra and promote international academic exchanges.

Honorary Editor-in-ChiefZhexian Wan, Chinese Academy of Sciences, China

Editor-in-ChiefJiping Zhang, Peking University, China

International Journal of Algebra and Computation (IJAC)Print / Online ISSN: 0218-1967 / 1793-6500

http://www.worldscientific.com/ijac

This journal publishes original papers in mathematics in general, but gives a preference to those in the areas of mathematics represented by the editorial board. Fields of Interest include Combinatorial group theory and semigroup theory; Universal algebra; Algorithmic and computational problems in algebra; Theory of automata; Formal language theory; Theory of computation and Theoretical computer science.

Managing EditorM Sapir, Vanderbilt University, USA

International Journal Of Number Theory (IJNT)Print / Online ISSN: 1793-0421 / 1793-7310

http://www.worldscientific.com/ijnt

This journal publishes original research papers and review articles on all areas of Number Theory, including elementary number theory, analytic number theory, algebraic number theory, arithmetic algebraic geometry, geometry of numbers, diophantine equations, diophantine approximation, transcendental number theory, probabilistic number theory, modular forms, multiplicative number theory, additive number theory, partitions, and computational number theory.

Managing EditorsBruce C Berndt, University of Illinois, Urbana-Champaign, USAR Sujatha, The University of British Columbia, CanadaUmberto Zannier, Scuola Normale Superiore, Italy

Journal of Algebra and Its Applications (JAA) Print / Online ISSN: 0219-4988 / 1793-6829

http://www.worldscientific.com/jaa

This journal publishes papers both on theoretical and on applied aspects of Algebra. There is special interest in papers that point out innovative links between areas of Algebra and fields of application. As the field of Algebra continues to experience tremendous growth and diversification, we intend to provide the mathematical community with a central source for information on both the theoretical and the applied aspects of the discipline.

Executive EditorsS K Jain, Ohio University, USA and King Abdulaziz University, Saudi ArabiaS R López-Permouth, Ohio University, USA

International Journal of Biomathematics (IJB) Print / Online ISSN: 1793-5245 / 1793-7159

http://www.worldscientific.com/ijb

The goal of this journal is to present the latest achievements in biomathematics, facilitate international academic exchanges and promote the development of biomathematics. Its research fields include mathematical ecology, infectious disease dynamical system, biostatistics and bioinformatics.

Editor-in-ChiefLansun Chen, Acade Academy of Mathematics and System Sciences, China

Mathematical Models and Methods in Applied Sciences (M3AS)

Print / Online ISSN: 0218-2025 / 1793-6314http://www.worldscientific.com/m3as

The purpose of this journal is to provide a medium of exchange for scientists engaged in applied sciences (physics, mathematical physics, natural, and technological sciences) where there exists a non-trivial interplay between mathematics, mathematical modelling of real systems and mathematical and computer methods oriented towards the qualitative and quantitative analysis of real physical systems.

EditorsNicola Bellomo, Politecnico di Torino, ItalyFranco Brezzi, IMATI - CNR, Italy

JOURNALS

35

Analysis & Differential Equattions Geometry & TopologyCombinatorics & Graph Theory

Journal of Hyperbolic Differential Equations (JHDE)

Print / Online ISSN: 0219-8916 / 1793-6993http://www.worldscientific.com/jhde

This journal publishes original research papers on nonlinear hyperbolic problems and related topics, of mathematical and/or physical interest. Specifically, it invites papers on the theory and numerical analysis of hyperbolic conservation laws and of hyperbolic partial differential equations arising in mathematical physics.

Managing EditorsPhilippe G LeFloch, Université Pierre et Marie Curie (Paris 6), France

Jian-Guo Liu, Duke University, USA

International Journal of Geometric Methods in Modern Physics (IJGMMP) Print / Online ISSN: 0219-8878 / 1793-6977

http://www.worldscientific.com/ijgmmp

This journal publishes short communications, research and review articles devoted to the application of geometric methods (including differential geometry, algebraic geometry, global analysis and topology) to quantum field theory, non-perturbative quantum gravity, string and brane theory, quantum mechanics, semi-classical approximations in quantum theory, quantum thermodynamics and statistical physics, quantum computation and control theory.

Managing EditorM Francaviglia, University of Torino, Italy

Journal of Knot Theory and Its Ramifications (JKTR) Print / Online ISSN: 0218-2165 / 1793-6527

http://www.worldscientific.com/jktr

This Journal is intended as a forum for new developments in knot theory, particularly developments that create connections between knot theory and other aspects of mathematics and natural science. The stance is interdisciplinary due to the nature of the subject. Papers include new research in the theory of knots and links, and their applications; new researches in related fields; tutorial and review papers, etc.

Editor-in-ChiefL H Kauffman, University of Illinois, Chicago, USA

International Journal of Wavelets, Multiresolution and Information Processing (IJWMIP)

Print / Online ISSN: 0219-6913 / 1793-690Xhttp://www.worldscientific.com/ijwmip

This journal considers the current state-of-the-art theories of wavelet analysis, multiresolution and information processing as well as their applications. It aims at publishing papers in both the theories and applications, concentrating on the practical applications of the wavelets, multiresolution and information processing to all areas in science and engineering.

Editor-in-ChiefYuan Y Tang, Chongqing University, China andUniversity of Macau, China

Managing EditorLuoqing Li, Hubei University, China

Analysis and Applications (AA) Print / Online ISSN: 0219-5305 / 1793-6861

http://www.worldscientific.com/aa

This journal publishes high quality mathematical papers that treat those parts of analysis which have direct or potential applications to the physical and biological sciences and engineering. Some of the topics from analysis include approximation theory, asymptotic analysis, calculus of avariations, integral equations, integral transforms, ordinary and partial differential equations, delay differential equations, and perturbation methods. The primary aim of the journal is to encourage the development of new techniques and results in applied analysis.

Editors-in-ChiefPhilippe G Ciarlet, City University of Hong Kong, Hong KongDing-Xuan Zhou, City University of Hong Kong, Hong Kong

Discrete Mathematics, Algorithms and Applications (DMAA)Print / Online ISSN: 1793-8309 / 1793-8317

http://www.worldscientific.com/dmaa

The aim of this journal is to advance and promote the theory and applications of discrete mathematics, which is a research area in mathematics with applications in computer science, industrial engineering, bio-informatics, chemistry and communication networks. The journal encourages contributions from the two important parts of discrete mathematics, graph theory and combinatorics. The former includes structural graph theory, extremal graph theory, algebraic graph theory, random graphs and internet graphs. The latter consists of combinatorial design, combinatorial enumeration, coding theory, combinatorial probabilistic method, etc.

Co-Editors-in-ChiefDing-Zhu Du, University of Texas, Dallas, USAJinlong Shu, East China Normal University, China

JOURNALS


36

JOURNALS

Journal of Topology and Analysis (JTA)Print / Online ISSN: 1793-5253 / 1793-7167

http://www.worldscientific.com/jta

This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.

Managing EditorsShmuel Weinberger, University of Chicago, USAGuoliang Yu, Texas A&M University, USA

Journal of Mathematical Logic (JML)Print / Online ISSN: 0219-0613 / 1793-6691

http://www.worldscientific.com/jml

This journal provides an important forum for the communication of original contributions in all areas of mathematical logic and its applications. It aims at publishing papers at the highest level of mathematical creativity and sophistication. JML intends to represent the most important and innovative developments in the subject.

Managing EditorsChitat Chong, National University of SingaporeQi Feng, Chinese Academy of Sciences, China and National University of SingaporeTheodore A Slaman, University of California, Berkeley, USAW Hugh Woodin, University of California, Berkeley, USA

Stochastics and Dynamics (SD) Print / Online ISSN: 0219-4937 / 1793-6799

http://www.worldscientific.com/sd

This interdisciplinary journal is devoted to publishing high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system’s point of view. Papers can be about theory, experiments, algorithms, numerical simulation and applications. Papers studying the dynamics of stochastic phenomena by means of random or stochastic ordinary, partial or functional differential equations or random mappings are particularly welcome, and so are studies of stochasticity in deterministic systems.

Editor-in-ChiefManfred Denker, Penn State University, USA

Managing EditorJinqiao Duan, University of California, Los Angeles, USA

Open Systems & Information Dynamics (OSID) Print / Online ISSN: 1230-1612 / 1793-7191

http://www.worldscientific.com/osid

The aim of this journal is to promote interdisciplinary research in mathematics, physics, engineering and life sciences centered around the issues of broadly understood information processing, storage and transmission, in both quantum and classical settings. Our special interest lies in the information-theoretic approach to phenomena dealing with dynamics and thermodynamics, control, communication, filtering, memory and cooperative behaviour, etc., in open complex systems.

Editor-in-ChiefM Ohya, Tokyo University of Science, Japan

Reviews in Mathematical Physics (RMP) Print / Online ISSN: 0129-055X / 1793-6659

http://www.worldscientific.com/rmp

This journal fills the need for a review journal in the field, but also accepts original research papers of high quality. The review papers—introductory and survey papers—are of relevance not only to mathematical physicists, but also to mathematicians and theoretical physicists interested in interdisciplinary topics.

Founding EditorHuzihiro Araki, Kyoto University, Japan

Editor-in-ChiefVolker Bach, TU Braunschweig, Germany

Infinite Dimensional Analysis, Quantum Probability

and Related Topics (IDAQP)Print / Online ISSN: 0219-0257 / 1793-6306

http://www.worldscientific.com/idaqp

In the past few years the fields of infinite dimensional analysis and quantum probability have undergone increasingly significant developments and have found many new applications, in particular, to classical probability and to different branches of physics. The number of first-class papers in these fields has grown at the same rate. This is currently the only journal which is devoted to these fields.

Managing EditorL Accardi, Università di Roma Tor Vergata, Italy

Editor-in-ChiefT Hida, Nagoya University and Meijo University, Japan

Mathematics PhysicsStochastics

AnalysisLogic And Set Theory

Geometry & Topology

37

Probability & Statistics General Mathematics

JOURNALS

Asian-European Journal of Mathematics (AEJM) Print / Online ISSN: 1793-5571 / 1793-7183

http://www.worldscientific.com/aejm

This is an international journal which is devoted to original research in the field of pure and applied mathematics. The aim of the journal is to provide a medium by which new ideas can be discussed among researchers from diverse fields in mathematics. It publishes high quality research papers in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, analysis, topology, geometry, functional analysis, number theory, differential equations, operational research, combinatorics, theoretical statistics and probability, theoretical science and logic.

Honorary Chief EditorWu Wentsun, Chinese Academy of Sciences, China

Chief EditorK P Shum, Yunnan University, China

Random Matrices: Theory and Applications (RMTA)Print / Online ISSN: 2010-3263 / 2010-3271

http://www.worldscientific.com/rmta

This journal will publishes high quality papers on all aspects regarding random matrices, both theory and applications. These areas will include, but not be limited to, spectral theory, new ensembles (those not generally considered in classical random matrix theory), and applications to a wide variety of areas, including high dimensional data analysis, wireless communications, finance, and economics. Only papers that contain original, innovative and correct results, which deepen our understanding on the theory of random matrices and its applications, will be considered for publications.

Editors-in-ChiefZhidong Bai, Northeast Normal University, China and National University of SingaporeYang Chen, University of Macao, China

Communications in Contemporary Mathematics (CCM)

Print / Online ISSN: 0219-1997 / 1793-6683http://www.worldscientific.com/ccm

With traditional boundaries between various specialized fields of mathematics becoming less and less visible, This journal presents the forefront of research in the fields of: Algebra, Analysis, Applied Mathematics, Dynamical Systems, Geometry, Mathematical Physics, Number Theory, Partial Differential Equations and Topology, among others. It provides a forum to stimulate interactions between different areas. Both original research papers and expository articles will be published.

Editors-in-ChiefHaïm Brezis, Rutgers University, USAYi-Zhi Huang, Rutgers University, USA

International Journal of Mathematics (IJM) Print / Online ISSN: 0129-167X / 1793-6519

http://www.worldscientific.com/ijm

This journal publishes original papers in mathematics in general, but giving a preference to those in the areas of mathematics represented by the editorial board. The journal has been published monthly except in June and December to bring out new results without delay. Occasionally, expository papers of exceptional value may also be published. The first issue appeared in March 1990.

Founding AdvisorS S Chern, Chern Institute of Mathematics, Nankai University, China

ChairShigeru Mukai, Kyoto University, Japan

FREE ACCESS till 31 Mar 2014

International Journal of Energy and Statistics (IJES)Print / Online ISSN: 2335-6804 / 2335-6812

http://www.worldscientific.com/ijes

This journal is a multi-disciplinary, quarterly, peer-reviewed journal covering all areas of energy (including, but not limited to, resources, applications and services, regulation, policy, sustainability, maintenance, renewable energy, technology) and statistics (applied and theoretical). The articles with novel contributions to the theory and/or applied statistics with the application related to energy are strongly encouraged. IJES is the official publication of the Institute for International Energy Studies.

Founding Editor and Editor-in-ChiefHossein Hassani, Bournemouth University, UK

For a free institutional trial or subscribe to the journal,

please contact us at

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38

ProceedingsTITLE AUTHOR PUB_DATE ISBN13 US$ £

GEOMETRIC, ALGEBRAIC AND TOPOLOGICAL METHODS FOR QUANTUM FIELD THEORY - PROCEEDINGS OF THE 2011 VILLA DE LEYVA SUMMER SCHOOL

SYLVIE PAYCHE ET AL 31-Oct-13 9789814460040 120 79

XVIITH INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS JENSEN ARNE 30-Oct-13 9789814449236 198 131

SYMMETRIES AND GROUPS IN CONTEMPORARY PHYSICS - PROCEEDINGS OF THE XXIX INTERNATIONAL COLLOQUIUM ON GROUP-THEORETICAL METHODS IN PHYSICS

BAI CHENGMING ET AL 05-Jul-13 9789814518543 148 98

AFFINE ALGEBRAIC GEOMETRY - PROCEEDINGS OF THE CONFERENCE MASUDA KAYO ET AL 20-May-13 9789814436694 112 74

PROCEEDINGS OF THE 12TH ASIAN LOGIC CONFERENCE DOWNEY ROD ET AL 07-May-13 9789814449267 120 79

MULTIVARIATE STATISTICS: THEORY AND APPLICATIONS - PROCEEDINGS OF THE IX TARTU CONFERENCE ON MULTIVARIATE STATISTICS AND XX INTERNATIONAL WORKSHOP ON MATRICES AND STATISTICS

KOLLO TONU 25-Mar-13 9789814449397 98 65

SOME RECENT ADVANCES IN MATHEMATICS AND STATISTICS - PROCEED-INGS OF STATISTICS 2011 CANADA/IMST 2011-FIM XX

CHAUBEY YOGENDRA P 14-Mar-13 9789814417976 95 63

INTEGRAL EQUATIONS, BOUNDARY VALUE PROBLEMS AND RELATED PROB-LEMS

LI XING 07-Mar-13 9789814452878 110 73

NUMBER THEORY: ARITHMETIC IN SHANGRI-LA - PROCEEDINGS OF THE 6TH CHINA-JAPAN SEMINAR

KANEMITSU SHIGERU ET AL

20-Feb-13 9789814452441 100 66

NONCOMMUTATIVE GEOMETRY AND PHYSICS 3 - PROCEEDINGS OF THE NONCOMMUTATIVE GEOMETRY AND PHYSICS 2008, ON K-THEORY AND D-BRANES & PROCEEDINGS OF THE RIMS THEMATIC YEAR 2010 ON PERSPECTIVES IN DEFORMATION QUANTIZATION AND NONCOMMUTATIVE GEOMETRY

DITO GIUSEPPE ET AL 11-Jan-13 9789814425001 158 104

EMERGING TOPICS ON DIFFERENTIAL EQUATIONS AND THEIR APPLICA-TIONS - PROCEEDINGS ON SINO-JAPAN CONFERENCE OF YOUNG MATH-EMATICIANS

LONG YIMING ET AL 31-Dec-12 9789814449748 128 84

QUANTUM PROBABILITY AND RELATED TOPICS - PROCEEDINGS OF THE 32ND CONFERENCE

FAGNOLA FRANCO ET AL 22-Nov-12 9789814447539 85 56

MATHEMATICAL PHYSICS - PROCEEDINGS OF THE 13TH REGIONAL CON-FERENCE

SEMIZ IBRAHIM ET AL 08-Oct-12 9789814417525 140 92

GALOIS-TEICHMÜLLER THEORY AND ARITHMETIC GEOMETRY Nakamura Hiroaki 01-Oct-12 9784864970143 148 98

CONTEMPORARY RING THEORY 2011 - PROCEEDINGS OF THE SIXTH CHINA-JAPAN-KOREA INTERNATIONAL CONFERENCE ON RING THEORY

KIM JIN YONG ET AL 26-Apr-12 9789814397674 100 66

HARMONY OF GROBNER BASES AND THE MODERN INDUSTRIAL SOCIETY - THE SECOND CREST-SBM INTERNATIONAL CONFERENCE

HIBI TAKAYUKI 21-Mar-12 9789814383455 138 91

BIOMAT 2011 - INTERNATIONAL SYMPOSIUM ON MATHEMATICAL AND COM-PUTATIONAL BIOLOGY

MONDAINI RUBEM P 14-Mar-12 9789814397704 158 104

OPERADS AND UNIVERSAL ALGEBRA - PROCEEDINGS OF THE INTERNA-TIONAL CONFERENCE

BAI CHENGMING ET AL 23-Feb-12 9789814365116 120 79

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON ALGEBRA 2010: ADVANCES IN ALGEBRAIC STRUCTURES

SY POLLY WEE ET AL 15-Dec-11 9789814366304 220 145

QUANTIZED ALGEBRA AND PHYSICS - PROCEEDINGS OF THE INTERNA-TIONAL WORKSHOP

BAI CHENGMING ET AL 18-Oct-11 9789814340441 85 56

EXPLORING NEW STRUCTURES AND NATURAL CONSTRUCTIONS IN MATH-EMATICAL PHYSICS

HASEGAWA KOJI ET AL 01-Oct-11 9784931469648 78 51

ARRANGEMENTS OF HYPERPLANES – SAPPORO 2009 TERAO HIROAKI ET AL 01-Oct-11 9784931469679 104 69

GEOMETRY AND ANALYSIS OF AUTOMORPHIC FORMS OF SEVERAL VARI-ABLES - PROCEEDINGS OF THE INTERNATIONAL SYMPOSIUM IN HONOR OF TAKAYUKI ODA ON THE OCCASION OF HIS 60TH BIRTHDAY

HAMAHATA YOSHINORI ET AL

23-Sep-11 9789814355599 128 84

ADVANCED COURSES OF MATHEMATICAL ANALYSIS IV - PROCEEDINGS OF THE FOURTH INTERNATIONAL SCHOOL -- IN MEMORY OF PROFESSOR ANTONIO AIZPURU TOMAS

PEREZ-FERNANDEZ F JA-VIER & RAMBLA-BARRENO FERNANDO

23-Sep-11 9789814335805 125 78

RECENT PROGRESS IN DIFFERENTIAL GEOMETRY AND ITS RELATED FIELDS - PROCEEDINGS OF THE 2ND INTERNATIONAL COLLOQUIUM ON DIF-FERENTIAL GEOMETRY AND ITS RELATED FIELDS

ADACHI TOSHIAKI ET AL 01-Sep-11 9789814355469 80 52

ISCHIA GROUP THEORY 2010 - PROCEEDINGS OF THE CONFERENCE BIANCHI MARIAGRAZIA ET AL

01-Sep-11 9789814350389 160 106

PROCEEDINGS OF THE 11TH ASIAN LOGIC CONFERENCE: IN HONOR OF PROFESSOR CHONG CHITAT ON HIS 60TH BIRTHDAY

ARAI TOSHIYASU ET AL 10-Aug-11 9789814360531 99 65

MATHEMATICS IN SCIENCE AND TECHNOLOGY: MATHEMATICAL METHODS, MODELS AND ALGORITHMS IN SCIENCE AND TECHNOLOGY - PROCEED-INGS OF THE SATELLITE CONFERENCE OF ICM 2010

SIDDIQI ABUL HASAN ET AL 30-Jun-11 9789814338813 179 118

PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS 2010 (ICM 2010) (IN 4 VOLUMES)

BHATIA RAJENDRA ET AL 06-Jun-11 9789814324304 350 217

MATHEMATICAL RESULTS IN QUANTUM PHYSICS - PROCEEDINGS OF THE QMATH11 (WITH DVD-ROM)

EXNER PAVEL 26-May-11 9789814350358 105 68

BIOMAT 2010 - INTERNATIONAL SYMPOSIUM ON MATHEMATICAL AND COM-PUTATIONAL BIOLOGY

MONDAINI RUBEM P 11-Mar-11 9789814343428 157 104

QUANTUM PROBABILITY AND RELATED TOPICS - PROCEEDINGS OF THE 30TH CONFERENCE

REBOLLEDO ROLANDO ET AL

19-Jan-11 9789814338738 123 81

NONPARAMETRIC STATISTICS AND MIXTURE MODELS: A FESTSCHRIFT IN HONOR OF THOMAS P HETTMANSPERGER

HUNTER DAVID, ROSEN-BERGER JAMES & RICH-ARDS DONALD

03-Jan-11 9789814340557 112 74

39

ADVANCES IN WAVE TURBULENCE ........................................................................ 25A FIRST COURSE IN ANALYSIS ................................................................................... 9A FIRST LOOK AT GRAPH THEORY.......................................................................... 13A FIRST LOOK AT RIGOROUS PROBABILITY THEORY ............................................ 32A GENTLE INTRODUCTION TO SUPPORT VECTOR MACHINES IN BIOMEDICINE......................................................................................................... 21

ALGEBRAIC GEOMETRY MODELING IN INFORMATION THEORY ......................... 11ALGORITHMICS OF MATCHING UNDER PREFERENCES ........................................ 28ANALYSIS FOR DIFFUSION PROCESSES ON RIEMANNIAN MANIFOLDS............... 33ANALYTICAL MECHANICS (Reprint Edition) ............................................................. 13AN INTRODUCTION TO ASTROPHYSICAL FLUID DYNAMICS ............................... 14AN INTRODUCTION TO DIFFERENTIAL EQUATIONS (Volume 2) .......................... 21A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM’S NEW KIND OF SCIENCE (Vol. VI)............................................................................................... 28

APPLICABLE ATMOSPHERIC DYNAMICS ................................................................. 27APPLICATIONS OF CONTACT GEOMETRY AND TOPOLOGY IN PHYSICS ............. 17APPLIED ANALYSIS ................................................................................................... 10APPLIED UNCERTAINTY ANALYSIS FOR FLOOD RISK MANAGEMENT................... 20A WALK THROUGH COMBINATORICS (3rd Edition) .............................................. 12BACK-OF-THE-ENVELOPE QUANTUM MECHANICS............................................... 23BENOIT MANDELBROT............................................................................................ 16BIOENGINEERING FLUID MECHANICS................................................................... 13BIOMIMETIC ROBOTIC ARTIFICIAL MUSCLES......................................................... 21BOCHNER–RIESZ MEANS ON EUCLIDEAN SPACES .................................................. 8BOMBAY LECTURES ON HIGHEST WEIGHT REPRESENTATIONS OF INFINITE DIMENSIONAL LIE ALGEBRAS................................................................................ 23

BOOLEAN FUNCTIONS: CRYPTOGRAPHIC AND COMBINATORIAL PROPERTIES ............................................................................................................ 11

CALCULUS The Elements .......................................................................................... 16CHAOS, CNN, MEMRISTORS AND BEYOND........................................................... 26COHERENT SYSTEMS ON ALGEBRAIC CURVES ...................................................... 16COMPLEX ANALYSIS IN FREE PROBABILITY THEORY................................................ 4COMPLEX ANALYTIC GEOMETRY............................................................................ 13COMPLEX QUANTUM SYSTEMS.............................................................................. 24COMPUTATIONAL AND ALGORITHMIC LINEAR ALGEBRA AND N-DIMENSIONAL GEOMETRY.................................................................................. 4

COMPUTATIONAL METHODS FOR TWO-PHASE FLOW AND PARTICLE TRANSPORT............................................................................................ 27

COMPUTATIONAL METHODS FOR TWO-PHASE FLOWS....................................... 13COMPUTATIONAL METHODS IN NONLINEAR ANALYSIS ...................................... 27COMPUTATIONAL WAVE DYNAMICS ..................................................................... 27COMPUTATION OF MATHEMATICAL MODELS FOR COMPLEX INDUSTRIAL PROCESSES ............................................................................................................. 26

CONCISE CALCULUS ................................................................................................. 7CONNECTIONS, SPRAYS AND FINSLER STRUCTURES............................................ 17CONSUMER BEHAVIOR, BRANDING AND COUNTERFEITING.............................. 29CONTEXT-FREE LANGUAGES AND PRIMITIVE WORDS ............................................ 4CONTINUOUS AND DISCONTINUOUS PIECEWISE-SMOOTH ONE-DIMENSIONAL MAPS .................................................................................... 22

CONTINUOUS-TIME MARKOV CHAINS.................................................................. 33CONTINUUM THERMODYNAMICS......................................................................... 22CONTRIBUTIONS TO THE THEORY OF ZETA-FUNCTIONS....................................... 5COUNTING (2nd Edition) ......................................................................................... 12DEVELOPING LIFE SKILLS THROUGH MATH AND SCIENCE GAMES ..................... 15DEVELOPMENT OF MEMRISTOR BASED CIRCUITS................................................. 21DIFFERENCE SETS AND THEIR APPLICATIONS......................................................... 11DIFFERENTIAL MANIFOLDS..................................................................................... 24DIFFUSION, PROPAGATION AND GROWTH IN BIOMEDICAL SYSTEMS............... 19DYNAMICS OF FLOATING OFFSHORE STRUCTURES ............................................. 14ELEMENTARY STOCHASTIC CALCULUS, WITH FINANCE IN VIEW......................... 32ELEMENTS OF MATHEMATICAL THEORY OF EVOLUTIONARY EQUATIONS IN BANACH SPACES ...................................................................................................... 8

ELEMENTS OF STOCHASTIC FINANCE .................................................................... 33ESSENTIALS OF STOCHASTIC FINANCE .................................................................. 31EXAMPLES IN MARKOV DECISION PROCESSES ...................................................... 29EXPECT THE UNEXPECTED....................................................................................... 32EXTREME VALUE DISTRIBUTIONS............................................................................ 31FAST COLLISIONS OF LIGHT IONS WITH MATTER................................................. 23FIFTY YEARS OF MATHEMATICAL PHYSICS ............................................................. 23FIGURATE NUMBERS ................................................................................................. 6FIXED POINT THEOREMS AND THEIR APPLICATIONS .............................................. 5FRACTAL PHYSIOLOGY AND CHAOS IN MEDICINE .............................................. 21FRACTIONAL CALCULUS OF WEYL ALGEBRA AND FUCHSIAN DIFFERENTIAL EQUATIONS............................................................................................................ 10

FRACTIONAL DIFFERENTIAL CALCULUS VIA FRACTIONAL DIFFERENCE THEORY AND APPLICATIONS ................................................................................ 20

FUNCTIONAL CALCULI ............................................................................................. 9FUNCTIONAL EQUATIONS ON HYPERGROUPS .................................................... 10GALOIS ALGEBRAS AND THEIR REPRESENTATIONS ................................................. 4GALOIS’ THEORY OF ALGEBRAIC EQUATIONS ........................................................ 7GAUGE FIELDS, KNOTS AND GRAVITY................................................................... 26GEOMETRIC PHASES IN PHYSICS............................................................................ 26GEOMETRIC STRUCTURES ON 2-ORBIFOLDS........................................................ 18GEOMETRY OF CRYSTALLOGRAPHIC GROUPS...................................................... 17GEOMETRY OF MÖBIUS TRANSFORMATIONS ....................................................... 18GEOMETRY, TOPOLOGY AND DYNAMICS OF CHARACTER VARIETIES.................. 18GIBBS MEASURES ON CAYLEY TREES ...................................................................... 24HALF-DISCRETE HILBERT-TYPE INEQUALITIES ........................................................ 15HEALTH ASSESSMENT OF ENGINEERED STRUCTURES ........................................... 30HILBERT–HUANG TRANSFORM AND ITS APPLICATIONS....................................... 11HOMOLOGICAL ALGEBRA ........................................................................................ 6HOW CHINESE TEACH MATHEMATICS ................................................................... 14HOW TO MEASURE THE INFINITE ............................................................................. 7

HYPERBOLIC PROBLEMS (In 2 Volumes) .................................................................. 10INEQUALITIES IN ANALYSIS AND PROBABILITY ..................................................... 31INTRODUCTION TO STOCHASTIC CALCULUS WITH APPLICATIONS ................... 32INTRODUCTION TO SYSTEMS BIOLOGY................................................................ 19INTRODUCTION TO THE FRACTIONAL CALCULUS OF VARIATIONS .................... 29INTRODUCTORY COURSE ON FINANCIAL MATHEMATICS................................... 30JAPANESE LESSON STUDY IN MATHEMATICS......................................................... 16JIM TOTTEN’S PROBLEMS OF THE WEEK ................................................................. 15KNOTS AND PHYSICS (4th Edition) .......................................................................... 17LATTICE BOLTZMANN METHOD AND ITS APPLICATIONS IN ENGINEERING........ 27LECTURE NOTES ON CONTINUOUS TIME FINANCE IN ECONOMICS .................. 33LECTURES ON DIFFERENTIAL GEOMETRY .............................................................. 19LECTURES ON THE THEORY OF GROUP PROPERTIES OF DIFFERENTIAL EQUATIONS.............................................................................................................. 5

LESSON STUDY ........................................................................................................ 14LINEAR ALGEBRA ....................................................................................................... 4LINEAR SECOND ORDER ELLIPTIC OPERATORS ....................................................... 8LOCAL ACTIVITY PRINCIPLE .................................................................................... 25MATHEMATICAL FOUNDATION AND APPLICATIONS OF THE P AND H-P FINITE ELEMENT METHODS .............................................................................................. 27

MATHEMATICAL METHODS AND MODELS IN COMPOSITES ................................ 20MATHEMATICAL OLYMPIAD IN CHINA (2009-2010)............................................... 15MATHEMATICAL THINKING..................................................................................... 15MATHEMATICS EDUCATION IN KOREA .................................................................. 14MEASURE THEORY AND FUNCTIONAL ANALYSIS.................................................... 8MODELING AND PRICING OF SWAPS FOR FINANCIAL AND ENERGY MARKETS WITH STOCHASTIC VOLATILITIES.......................................................................... 33

MOIST PROCESSES IN THE CLIMATE SYSTEM.......................................................... 22MORSE THEORY, GRADIENT FLOWS, CONCAVITY AND COMPLEXITY ON MANIFOLDS WITH BOUNDARY............................................................................ 16

MULTI-DIMENSIONAL LANGLANDS FUNCTORIALITY PRINCIPLE........................... 4MULTISCALE AND MULTIRESOLUTION APPROACHES IN TURBULENCE............... 14NAVIER-STOKES EQUATIONS IN PLANAR DOMAINS............................................... 9NEW DEVELOPMENTS IN THE ADDITIVE THEORY OF PRIME NUMBERS................. 5NEW TRENDS IN CONTROL THEORY...................................................................... 29NON-COMMUTATIVE GEOMETRY .......................................................................... 22NONLINEAR MIXTURE MODELS ............................................................................. 30NUMBER THEORY AND ITS APPLICATIONS .............................................................. 6NUMERICAL SOLUTION OF THE SCHRÖDINGER EQUATION............................... 26NURTURING REFLECTIVE LEARNERS IN MATHEMATICS ........................................ 15OBLIQUE DERIVATIVE PROBLEMS FOR ELLIPTIC EQUATIONS................................. 9OPERADS, STRINGS AND DELIGNE’S CONJECTURE............................................... 23OPTIMAL TRANSPORT NETWORKS IN NATURE ..................................................... 19ORDINARY DIFFERENTIAL EQUATIONS WITH APPLICATIONS ................................ 8PARTIAL DIFFERENTIAL EQUATIONS ........................................................................ 9PARTITIONS Optimality and Clustering..................................................................... 28PATH INTEGRALS, HYPERBOLIC SPACES AND SELBERG TRACE FORMULAE ......... 24POLYGROUP THEORY AND RELATED SYSTEMS........................................................ 6PRACTICAL POPULATION GENETICS ...................................................................... 29PRINCIPLES AND TECHNIQUES IN COMBINATORICS ............................................ 12QUALITATIVE COMPUTING..................................................................................... 28RANDOM WALK IN RANDOM AND NON-RANDOM ENVIRONMENTS................ 31RECENT ADVANCES IN APPLIED NONLINEAR DYNAMICS WITH NUMERICAL ANALYSIS .................................................................................................................. 9

RECENT DEVELOPMENTS IN COMPUTATIONAL FINANCE .................................... 28SELECTED PAPERS OF CHEN NING YANG II............................................................ 25SELECTED PAPERS OF MASATAKE KURANISHI........................................................ 17SIMULATING COPULAS ........................................................................................... 31SOLUTION SET OF SEMILINEAR ELLIPTIC EQUATIONS ............................................ 8SOLVING THE RIDDLE OF PHYLLOTAXIS ................................................................ 22SPECIAL FUNCTIONS............................................................................................... 10SPLINES AND COMPARTMENT MODELS................................................................. 20STATISTICAL PARADIGMS ........................................................................................ 30STOCHASTIC MEDICAL REASONING AND ENVIRONMENTAL HEALTH EXPOSURE .............................................................................................................. 20

STOCHASTIC SIMULATION OPTIMIZATION FOR DISCRETE EVENT SYSTEMS ....... 30STRUCTURAL ASPECTS OF QUANTUM FIELD THEORY.......................................... 24SYMMETRY, GROUPS, AND REPRESENTATIONS IN PHYSICS ................................. 23TECHNICAL ANALYSIS AND FINANCIAL ASSET FORECASTING .............................. 29THE GOLDEN RATIO AND FIBONACCI NUMBERS ................................................... 7THE GUIDE TO PAMIR.............................................................................................. 28THE KOREPIN FESTSCHRIFT: FROM STATISTICAL MECHANICS TO QUANTUM INFORMATION SCIENCE........................................................................................ 24

THE NUMERICAL SOLUTION OF THE AMERICAN OPTION PRICING PROBLEM ...26THE RESILIENCE OF NETWORKED INFRASTRUCTURE SYSTEMS............................ 20THE SEGAL-BARGMANN TRANSFORM ON EUCLIDEAN SPACE AND GENERALIZATIONS .................................................................................................. 7

THE SELECTED WORKS OF GEORGE E ANDREWS.................................................... 6THE THEORY OF MULTIPLE ZETA VALUES WITH APPLICATIONS IN COMBINATORICS..................................................................................................... 5

THREE CLASSES OF NONLINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS............................................................................................................ 33

TOPICS IN BIOMATHEMATICS ................................................................................. 19TOPOLOGICAL LIBRARY.......................................................................................... 18TOPOLOGICAL QUANTUM COMPUTING.............................................................. 22TOPOLOGY AND DYNAMICS OF CHAOS............................................................... 25TOPOLOGY WITH APPLICATIONS........................................................................... 17TRANSFORMATION GROUPS AND LIE ALGEBRAS................................................. 25UNDERGRADUATE CONVEXITY ............................................................................... 5VIRTUAL KNOTS The State of the Art ........................................................................ 12VORONOI DIAGRAMS AND DELAUNAY TRIANGULATIONS ................................. 12WAVELET ANALYSIS AND ITS APPLICATIONS.......................................................... 11WEAK CONVERGENCE AND ITS APPLICATION ...................................................... 30


40

Adamatzky Andrew .................................... 26Adler Irving ................................................ 22Adler Peggy ................................................ 22Adler Stephen L .......................................... 22Adler Stephen L .......................................... 28Akahori Takao............................................. 17Albers Bettina ............................................. 22Aliferis Constantin F ................................... 21Ang Ying Zhen............................................ 15Argyros Ioannis K ....................................... 27Aurenhammer Franz ................................... 12Avrutin Viktor ............................................. 22Baez John ................................................... 26Baillon Paul ................................................ 24Balan Raluca .............................................. 31Basu Ayanendranath ................................... 30Beaumont Mark A ...................................... 29Belkic Dzevad ............................................ 23Beven Keith J .............................................. 20Bian Xuemei............................................... 29Biebler Karl-ernst Erich ............................... 20Bona Miklos ............................................... 12Cai Jinfa...................................................... 14Chakrabarti Subrata Kumar ......................... 14Chakrabarti Sumita ..................................... 14Chan Raymond Hon-fu............................... 30Chatelin Francoise...................................... 28Chen Anyue................................................ 33Chen Chun-hung........................................ 30Chen Guan Rong........................................ 26Chen Hongbin............................................ 28Chen Weihuan ........................................... 19Chern Shiing-shen ...................................... 19Chiarella Carl ............................................. 26Choi Hyouk Ryeol ...................................... 21Christakos George ...................................... 20Chronopoulou Alexandra ........................... 33Chua Leon O.............................................. 25Chua Leon O.............................................. 28Clark John .................................................. 13Comenetz Michael ..................................... 16De Garis Hugo ........................................... 22Debnath Lokenath ...................................... 14Deck Sebastien........................................... 14Ding Hang.................................................. 13Evans Timothy S.......................................... 23Fan Lianghuo.............................................. 14Figueroa-lopez Jose Enrique ....................... 33Fitch Andrew L ........................................... 21Frame Michael............................................ 16Gardini Laura ............................................. 22Ge Mo-lin................................................... 23Gerstner Thomas......................................... 28Gilmore Robert........................................... 25Goldman William....................................... 18Golubyatnikov Vladimir Petrovich .............. 18Gotoh Hitoshi............................................. 27Grensing Gerhard....................................... 24Grensing Gerhard....................................... 24Grensing Gerhard....................................... 24Grosche Christian....................................... 24Guo Benqi.................................................. 27Guo Zhaoli................................................. 27Guyon Isabelle ........................................... 21Haldar Achintya ......................................... 29Hall Jim...................................................... 20Han Inki ..................................................... 15Hardin Douglas P ....................................... 21Hilout Said ................................................. 27Hironaka Heisuke....................................... 17Holton Derek Allan .................................... 13Hou Zhenting ............................................. 33Hung Tin-kan.............................................. 13Hwang Frank Kwang-ming ......................... 28Ibragimov Nail H ....................................... 25Ilyutko Denis Petrovich............................... 12Inprasitha Maitree....................................... 14

Isoda Masami ............................................. 14Isoda Masami ............................................. 15Isoda Masami ............................................. 15Iu Herbert Ho-ching ................................... 21Ivancevic Tijana T ....................................... 29Ivancevic Vladimir G.................................. 29Jia Qing-shan ............................................. 30Jumarie Guy ............................................... 20Kac Victor G............................................... 23Kang Boda.................................................. 26Kar Supriya K.............................................. 22Katagiri Shigeo ........................................... 15Katz Gabriel ............................................... 16Kauffman Louis H....................................... 17Kaufmann Ralph M..................................... 23Kaur Berinderjeet........................................ 15Kertesz David Cs ........................................ 17Kholodenko Arkady L ................................. 17Kim Jinho ................................................... 15Kim Kwang Jin............................................ 21Kisil Vladimir V........................................... 18Kizilova Natalya ......................................... 19Klebaner Fima C......................................... 31Klein Rolf ................................................... 12Kloeden Peter ............................................. 28Koh Khee-meng.......................................... 12Koh Khee-meng.......................................... 12Komatsu Gen.............................................. 17Kotz Samuel ............................................... 32Kwek Leong-chuan..................................... 24Ladde Anilchandra G.................................. 21Ladde Gangaram S ..................................... 21Lam Kai S ................................................... 19Lamothe Gilles ........................................... 31Lee Der-tsai ................................................ 12Lee Joong Kwoen........................................ 15Lee Loo Hay ............................................... 30Lee Peng Yee............................................... 15Lee Spike Tsz-ho......................................... 30Lee Wen Ho ............................................... 27Letellier Christophe .................................... 25Li Junping ................................................... 33Li Shiqi ....................................................... 14Lim Beng Lee.............................................. 15Lin Zhengyan ............................................. 30Lovas Rezso L............................................. 17Mai Jan-frederik.......................................... 31Mainzer Klaus ............................................ 25Malinowska Agnieszka Barbara .................. 29Manlove David........................................... 28Mantic Vladislav ......................................... 20Manturov Vassily Olegovich ....................... 12Meyer Gunter H ......................................... 26Mikosch Thomas......................................... 32Misra Jagadis Chandra ................................ 19Miyajima Kimio.......................................... 17Miyakawa Takeshi....................................... 15Moutinho Luiz............................................ 29Muniain Javier P ......................................... 26Nadarajah Saralees..................................... 32Naimpally Somashekhar A.......................... 17Namba Makoto .......................................... 17Nazarenko Sergei ....................................... 25Neufeld Zoltan ........................................... 19Newstead Peter E........................................ 16Ng Li Yang .................................................. 15Ng Wenbin Reico Maynard ........................ 15Niemi Antti................................................. 23Novikov Serguei Petrovich.......................... 18Ohara Yutaka .............................................. 15Okayasu Akio ............................................. 27Olchanyi Maxim ........................................ 23Omer Mayada ............................................ 20Papastavridis John G................................... 13Park Mangoo .............................................. 15Peters James F............................................. 17Phong Duong H ......................................... 17

Piunovskiy Alexey B ................................... 29Pons Odile.................................................. 31Poon Ser-huang .......................................... 33Pugal David................................................ 21Raina Ashok K ............................................ 23Revesz Pal .................................................. 31Rosenthal Jeffrey S ...................................... 32Rothblum Uriel R ....................................... 28Rozhkovskaya Natasha ............................... 23Rozikov Utkir A.......................................... 24Sagaut Pierre .............................................. 14Samanta Tapas ............................................ 30Schanz Michael.......................................... 22Scherer Matthias......................................... 31Schumitzky Alan......................................... 30Seah Wee Khee .......................................... 15Sengupta Ashis ........................................... 30Series Caroline ........................................... 18Severini Simone.......................................... 24Shaw Stephen J........................................... 13Shiryaev Albert N ....................................... 32Shrira Victor................................................ 25Shu Chang.................................................. 27Siedentop Heinz......................................... 24Simos Theodore E ....................................... 26Sinai Yakov ................................................. 18Sinai Yakov ................................................. 18Spelt Peter D M .......................................... 13Statnikov Alexander.................................... 21Stein Elias M............................................... 18Stein Elias M............................................... 18Stephens Graeme L..................................... 22Stephens Max............................................. 15Su Haibin ................................................... 24Sushko Irina................................................ 22Suwa Tatsuo................................................ 13Swishchuk Anatoliy .................................... 33Szczepanski Andrzej .................................. 17Szilasi Jozsef............................................... 17Szunyogh Istvan.......................................... 27Tade Moses Oludayo.................................. 26Tan Ser Peow.............................................. 18Tan Xiaobo ................................................. 21Tatarinova Tatiana V.................................... 30Tay Eng Guan ............................................. 12Tay Eng Guan ............................................. 12Taymanov Iskander A.................................. 18Terracol Marc ............................................. 14Thompson Michael John............................. 14Tian Yuchu.................................................. 26Torres Delfim F M....................................... 29Tramontana Fabio....................................... 22Tretyakov Michael ...................................... 30Triolo Livio ................................................. 19Viens Frederi G .......................................... 33Vvedensky Dimitri D .................................. 23Wang Feng-yu ............................................ 33Wang Hanchao .......................................... 30Wang Jinfeng.............................................. 20Wang-iverson Patsy..................................... 14Watanabe Yasunori ..................................... 27West Bruce J ............................................... 21Wilmanski Krzysztof................................... 22Wodny Michael.......................................... 20Wong Alan Wing-keung ............................. 30Wong Ngai-ying ......................................... 14Wu Jiaping ................................................. 20Xiong Bin ................................................... 15Xiong Jie..................................................... 33Yamaguchi Keizo........................................ 17Yang Bicheng.............................................. 14Yang Chen Ning ......................................... 25Yao Hongmei.............................................. 26Yeap Ban-har .............................................. 14Zhang Tonghua........................................... 26

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1978Israel M. Gel’fand

1993Mikhail Gromov

2001Vladimir I. Arnold

2005Gregory A. Margulis

2006/7Hillel Fürstenberg

2008Pierre R. Deligne

2008Phillip A. Griffiths


1986Atle Selberg

1992John G. Thompson

2001Saharon Shelah

2002/3Mikio Sato

2002/3John T. Tate

2005Sergei P. Novikov

2006/7Stephen Smale

2008David Mumford

Y Sinai & E SteinPrinceton University, USA

S S ChernNankai University, China

F HirzebruchUniversität Bonn & Max-Planck-Institut für Mathematik, Bonn

edited by


1979, Jean Leray

1980, Henri Cartan

1981, Lars V. Ahlfors

1982, Lennart A. E. Carleson

1983/4, Shiing-Shen Chern

1983/4, Paul Erdös

1984/5, Kunihiko Kodaira

1986, Samuel Eilenberg

1987, Kiyoshi Ito

1988, Friedrich Hirzebruch

1988, Lars Hörmander

1990, Ennio de Giorgi

1995/6, Robert Langlands

1996/7, Joseph B. Keller


1978, Carl L. Siegel

1979, André Weil

1980, Andrei N. Kolmogorov

1981, Oscar Zariski

1982, Hassler Whitney

1982, Mark Grigor’evich Krein

1984/5, Hans Lewy

1987, Peter D. Lax

1989, Alberto P. Calderón

1989, John W. Milnor

1990, Ilya Piatetski-Shapiro

1993, Jacques Tits

1994/5, Jürgen K. Moser

1995/6, Andrew J. Wiles

1996/7, Yakov G. Sinai

1999, László Lovász

1999, Elias M. Stein

2000, Raoul Bott

776pp Sep 2000

978-981-02-3945-9US$196 £129

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940pp Sep 2001

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636pp Jun 2012

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616pp Jul 2012

978-981-4390-29-3US$182 £120

The Wolf Prize, awarded by the Wolf Foundation in Israel, often goes to mathematicians who are in their sixties or older. That is to say, the Prize honours the achievements of a lifetime.

This is the first time that documents on Wolf Prize winners have been published together. Since the work of the Wolf laureates covers a wide spectrum, much of the mathematics of the twentieth century comes to life in these volumes.

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