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Analysis and Probability 1 Cambridge University Press is delighted to announce Discrete Mathematics and a new arrangement with the Society of Industrial Foundations 2 and Applied Mathematics (SIAM), which means that Geometry and Topology 3 outside North America, and some parts of Asia, SIAM books will be available directly from Cambridge Algebra and Number Theory 6 University Press. If you are unsure what this means Computational Science 8 for you, please contact your local Cambridge office Dynamical Systems, Mechanics (details of these can be found on the inside back cover and Modelling 9 of this catalogue) or bookseller. Mathematical Physics and Biology 11 This catalogue contains only a selection of these Statistics, Applied Probability and books. However, you can browse all the SIAM titles Optimization 13 currently available from Cambridge (with many more Mathematical Finance 16 to come!) by visiting our web page: Classics in Mathematical Finance 17 www.cambridge.org/siam Computer Science 18 Cambridge University Press is also pleased to offer the SIAM Books 20 30% Members’ Discount on SIAM books. General and Recreational Maths 23 SIAM membership details can be obtained from www.siam.org/membership/ Author and Title Index 25

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theorem of calculus; 15. The trigonometric Nonlinear Analysis Analysis and functions; 16. Pi is irrational; 17. Planetary motion; 18. The logarithm and exponential and Semilinear Probability functions; 19. Integration in elementary Elliptic Problems terms; Part IV. Infinite Sequences Antonio Ambrosetti and Infinite Series: 20. Approximation SISSA, Trieste Feature title by polynomial functions; 21. e is and Andrea Malchiodi Textbook transcendental; 22. Infinite sequences; SISSA, Trieste 23. Infinite series; 24. Uniform convergence A First Course in A graduate text explaining how methods and power series; 25. Complex numbers; of nonlinear analysis can be used to 26. Complex functions; 27. Complex Mathematical Analysis tackle nonlinear differential equations. power series; Part V. Epilogue: 28. Fields; David Alexander Brannan Suitable for mathematicians, physicists The Open University, Milton Keynes 29. Construction of the real numbers; 30. Uniqueness of the real numbers; and engineers, topics covered range A down-to-earth advanced Calculus Suggested reading; Answers (to selected from elementary tools of bifurcation text. It has a large number of diagrams problems); Glossary of symbols; Index. theory and analysis to critical point and helpful margin notes; and uses 2006 252 x 225 mm 682pp theory and elliptic partial differential many graded examples and exercises, 700 line diagrams equations. The book is amply illustrated often with complete solutions, to guide 978-0-521-86744-3 HB £27.99 with many exercises. students through the tricky points. Cambridge Studies in Advanced Suitable for self-study or use in parallel Mathematics, 104 with a standard University course on the Linear Operators 2007 228 x 152 mm 328pp subject. and their Spectra 55 line diagrams 28 exercises Contents: Preface; Introduction: calculus E. Brian Davies 978-0-521-86320-9 HB £40.00 and analysis; 1. Numbers; 2. Sequences; King’s College London 3. Series; 4. Continuity; 5. Limits and This authoritative text presents a broad Random continuity; 6. Differentiation; 7. Integration; view of the spectral theory of non-self- Fragmentation and 8. Power series; Appendix 1. Sets, functions adjoint linear operators and contains and proofs; Appendix 2. Standard many illustrative examples and exercises. Coagulation Processes derivatives and primitives; Appendix 3. The Topics discussed include Fredholm Jean Bertoin first 1,000 decimal places of the square root theory, Hilbert-Schmidt and trace class Université de Paris VI (Pierre et Marie Curie) of 2, e and pi; Appendix 4. Solutions to the By the author of Lévy Processes, problems; Index. operators, one-parameter semigroups, perturbations of their generators and a the first comprehensive theoretical 2006 246 x 189 mm 472pp account of mathematical models for 211 line diagrams 1 table 207 exercises thorough account of the new theory of 978-0-521-86439-8 HB £50.00 pseudospectra. random and repeated fragmentation 978-0-521-68424-8 PB £24.99 Cambridge Studies in Advanced and coagulation over time. Written Mathematics, 106 for readers with a solid background in 2007 228 x 152 mm 400pp probability, its careful exposition allows Feature title 15 line diagrams 274 exercises 15 figures graduate students, as well as working Textbook 978-0-521-86629-3 HB c. £40.00 mathematicians, to approach the Publication April 2007 material with confidence. Calculus Cambridge Studies in Advanced Third edition Methods in Banach Mathematics, 102 Michael Spivak 2006 228 x 152 mm 288pp Publish or Perish Inc, Houston, Texas Space Theory 978-0-521-86728-3 HB £37.50 Spivak’s celebrated Calculus combines Edited by Jesus M. F. Castillo Universidad de Extremadura leisurely explanations, a profusion of Markov Processes, examples, a wide range of exercises and and William B. Johnson Texas A & M University plenty of illustrations in an easy-going Gaussian Processes, approach that enlightens difficult This book presents a comprehensive and Local Times concepts and rewards effort. Ideal for overview of modern Banach space Michael B. Marcus honours students and mathematics theory. It contains sixteen papers that City University of New York majors seeking an alternative to reflect the wide expanse of the subject. and Jay Rosen doorstop textbooks and more formidable Articles are gathered into five sections, City University of New York introductions to real analysis. each with a key survey: geometrical methods; homological methods; ‘The main theme of this book is to Contents: Preface; Part I. Prologue: introduce the isomorphism theorem 1. Basic properties of mumbers; 2. Numbers topological methods; operator theoretic methods; function space methods. of E. B. Dynkin, and derive a number of various sorts; Part II. Foundations: of its powerful consequences. The 3. Functions; 4. Graphs; 5. Limits; London Mathematical Society Lecture Note Series, 337 isomorphism theorem describes a 6. Continuous functions; 7. Three hard beautiful connection between the theorems; 8. Least upper bounds; 2006 228 x 152 mm 370pp 4 line diagrams seemingly-disparate theories of 3 half-tones Part III. Derivatives and Integrals: Gaussian processes and Markov 978-0-521-68568-9 PB £40.00 9. Derivatives; 10. Differentiation; processes. This book presents a 11. Significance of the derivative; 12. Inverse definitive account, and is written by functions; 13. Integrals; 14. The fundamental two of the leading authorities in this

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exciting subject. It is well-crafted, Percolation Discrete and a pleasure to read. Because the Bela Bollobás authors have painstakingly worked Trinity College, Cambridge out a large number of examples Mathematics throughout the text, it should be very and Oliver Riordan Trinity College, Cambridge accessible to interested graduate and Foundations students, as well as researchers. It is The authors’ main aims are first to clear that this text is the standard present classical results in a way that’s reference for those who wish to learn accessible to non-specialists. Second, Fields’ Medal Winner about the powerful isomorphism to describe, for the first time in a book, Additive theorem. But I was surprised to recent results of Smirnov in conformal find that within this book lies also invariance. It is essential reading for all Combinatorics completely self-contained, and lively, working in this exciting area. Terence Tao introductions to Gaussian processes University of California, Los Angeles and Markov processes. Each will 2006 228 x 152 mm 334pp and Van H. Vu make for a lovely textbook in the 112 line diagrams Rutgers University, New Jersey respective area. Both are accessible to 978-0-521-87232-4 HB £40.00 graduate students and researchers in For the first time, the many different probability and analysis.’ Recent Bestseller tools from different fields that are Davar Khoshnevisan, University of Utah used in additive combinatorics are brought together in a self-contained Cambridge Studies in Advanced Mathematics, 100 Textbook and systematic manner. This graduate level textbook will quickly allow 2006 228 x 152 mm 630pp Calculus: Concepts 978-0-521-86300-1 HB £50.00 students and researchers easy entry and Methods into the fascinating field of additive Ken Binmore combinatorics. Quantum Stochastic University College London Cambridge Studies in Advanced Processes and and Joan Davies Mathematics, 105 London School of Economics and Political 2006 228 x 152 mm 530pp 635 exercises Noncommutative Science 978-0-521-85386-6 HB £45.00 Geometry A gentle, thorough and beautifully Kalyan B. Sinha illustrated introduction to calculus for Indian Statistical Institute, New Delhi Forthcoming students from a range of disciplines. and Debashish Goswami Elements of Indian Statistical Institute, Kolkata ‘… well illustrated and has a good Automata Theory The authors detail the interaction supply of examples and exercises … an excellent textbook for courses in J. Sakarovitch between the two vigorous fields of non- Centre National de la Recherche Scientifique intermediate calculus for students of commutative geometry and quantum (CNRS), Paris stochastic processes – subjects with mathematics as well as economics.’ Zentralblatt für Mathematik This treatise on finite automata theory wide ranging applications within the aims both to be a rigorous account and world of physics. They describe a modern Contents: Preface; Preliminaries; to illuminate its actual meaning. The method of constructing quantum 1. Matrices and vectors; 2. Functions of one first part is organised around notions stochastic processes and relate these variable; 3. Functions of several variables; of rationality and recognisability. The constructions to the associated non- 4. Stationary points; 5. Vector-valued second deals with relations between commutative geometric spaces. functions; 6. Optimization of scalar-valued words realised by finite automata. functions; 7. Inverse functions; 8. Implicit Contents: 1. Introduction; 2. Preliminaries; Many exercises, often with solutions or functions; 9. Differentials; 10. Sums 3. Quantum dynamical semigroups; answers, are included. 4. Hilbert modules; 5. Quantum stochastic and integrals; 11. Multiple integrals; 12. Differential and difference equations of Encyclopedia of Mathematics and its calculus with bounded coefficients; Applications 6. Dilation of quantum dynamical order one; 13. Complex numbers; 14. Higher order differential and difference equations. 2007 247 x 174 mm 800pp 250 exercises semigroups with bounded generator; 175 figures 7. Quantum stochastic calculus with 2002 246 x 189 mm 568pp 978-0-521-84425-3 HB c. £80.00 unbounded coefficients; 8. Dilation of 649 line diagrams 345 exercises quantum dynamical semigroups with 978-0-521-77541-0 PB £31.99 unbounded generator; 9. Noncommutative geometry and quantum stochastic processes; Bibliography; Index. Cambridge Tracts in Mathematics, 169 2007 228 x 152 mm 300pp 978-0-521-83450-6 HB £50.00 Discrete Mathematics and Foundations / Geometry and Topology 

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pictures; Part II. Iterated Function Systems: lavishly illustrated book will fascinate Hyperbolic Geometry 4. IFS acting on measures; 5. More on IFS; a broad audience, from high school from a Local Viewpoint Part III. Applications to Graphics: 6. Digital students to researchers. content production; 7. Image compression; Linda Keen 2007 253 x 177 mm 496pp City University of New York 8. Super IFS. 978-0-521-85757-4 HB c. £35.00 2006 247 x 174 mm 464pp Publication July 2007 and Nikola Lakic City University of New York 978-0-521-84493-2 HB £25.00 Written for graduate students, this Geometric Tomography book presents topics in 2-dimensional Lectures on the Second edition hyperbolic geometry. The authors Ricci Flow Richard J. 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This book meant primarily for researchers and 68 gives a concise introduction to the graduate students in geometry and 2007 228 x 152 mm 290pp subject with the hindsight of Perelman’s tomography, brief introductions, suitable 27 line diagrams 5 half-tones 236 exercises 978-0-521-86360-5 HB £60.00 breakthroughs from 2002/2003. for advanced undergraduates, are 978-0-521-68224-4 PB £23.99 London Mathematical Society Lecture Note provided to the basic concepts. Publication March 2007 Series, 325 2006 228 x 152 mm 124pp praise for the first edition … 22 line diagrams 8 figures ‘The work is written in a very clear Elliptic Functions 978-0-521-68947-2 PB £23.99 style, is well organized, and is amply J. V. Armitage provided with helpful illustrations and University of Durham diagrams.’ and W. F. Eberlain Hilbert’s Tenth Problem Wm. J. 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Demaine modular characteristics of vertex Alfréd Rényi Institute of Mathematics, Hungarian Massachusetts Institute of Technology operator algebras, and higher chromatic Academy of Sciences, Budapest and Joseph O’Rourke analogues of elliptic cohomology. The first comprehensive, modern Smith College, Massachusetts London Mathematical Society Lecture Note introduction to the theory of central Series, 342 Emphasizing algorithmic and simple algebras over arbitrary fields. computational aspects, this 2007 228 x 152 mm 390pp 3 exercises Assuming only a solid background 978-0-521-70040-5 PB c. £38.00 comprehensive treatment of the Publication March 2007 in algebra, it reaches such advanced geometry of folding and unfolding results as the Merkurjev-Suslin theorem. presents hundreds of results and over The book is a graduate textbook and 60 open problems. 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Topics discussed include Series, 338 complex manifolds and holomorphic 2007 228 x 152 mm 326pp 4 line diagrams Surveys and research articles by leading vector bundles; Kähler manifolds and 10 tables experts cover several areas of dynamical Hodge and Dolbeault theories; compact 978-0-521-69182-6 PB £38.00 systems that have recently experienced Kähler manifolds and a proof of the substantial progress, including famous Kähler identities. Orbifolds and symplectic geometry, smooth rigidity, hyperbolic, parabolic, and symbolic Contents: Part I. Basics on Differential Stringy Topology dynamics; and ergodic theory. Geometry; Part II. Complex and Alejandro Adem Hermitian Geometry; Part III. Topics on Mathematical Sciences Research Institute University of British Columbia, Vancouver Publications Compact Kähler Manifolds. Johann Leida 2007 234 x 156 mm 420pp London Mathematical Society Student Texts, University of Wisconsin, Madison 978-0-521-87541-7 HB c. £45.00 69 and Yongbin Ruan 2007 228 x 152 mm 152pp 131 exercises University of Michigan, Ann Arbor 978-0-521-86891-4 HB £55.00 978-0-521-68897-0 PB £19.99 An introduction to the theory of Publication March 2007 orbifolds from a modern perspective, combining techniques from geometry, algebraic topology and algebraic geometry. The heart of the book is a detailed description of the Chen-Ruan cohomology, which introduces a new

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Recent Bestseller in arithmetic progressions-II; 12. Explicit simple groups which are not uniquely formulae; 13. Conditional estimates; determined by a given centralizer. 14. Zeros; 15. Oscillations of error terms; New Mathematical Monographs, 8 Appendix A. The Riemann-Stieltjes integral; Textbook 2006 228 x 152 mm 614pp 200 tables Appendix B. Bernoulli numbers and the 978-0-521-86625-5 HB £80.00 Algebra and Geometry Euler-MacLaurin summation formula; Alan F. Beardon Appendix C. The gamma function; Appendix University of Cambridge D. Topics in harmonic analysis. Ranks of Elliptic Curves Unified introduction to algebra and Cambridge Studies in Advanced and Random Matrix Mathematics, 97 geometry, emphasising links between Theory the topics. Ideal for self-study. 2006 228 x 152 mm 570pp 510 exercises 7 figures Edited by J. B. Conrey American Institute of Mathematics ‘The presentation is traditional, 978-0-521-84903-6 HB £48.00 informal, and relaxed.’ D. W. Farmer American Institute of Mathematics Zentralblatt MATH Quantum Groups F. Mezzadri Contents: Preface; 1. Groups and A Path to Current Algebra University of Bristol permutations; 2. The real numbers; 3. The Ross Street and N. C. Snaith complex plane; 4. Vectors in three- Macquarie University, Sydney University of Bristol dimensional space; 5. Spherical geometry; Algebra has moved well beyond the This comprehensive volume highlights 6. Quaternions and isometries; 7. Vector topics in standard texts on ‘modern some of the most current results about spaces; 8. Linear equations; 9. Matrices; algebra’: algebraic structures such ranks of elliptic curves, statistical 10. Eigenvectors; 11. Linear maps of as groups, rings and fields. Still very properties of families of elliptic curves Euclidean space; 12. Groups; 13. Möbius important concepts! But Quantum transformations; 14. Group actions; and their associated L-functions and the Groups: A Path to Current Algebra is 15. Hyperbolic geometry; Index. emerging uses of random matrix theory written for the reader keen to learn in this field. This is the only book to give 2005 228 x 152 mm 338pp the latest algebraic concepts and 40 line diagrams an in-depth treatment of this subject. 978-0-521-81362-4 HB £55.00 techniques. London Mathematical Society Lecture Note 978-0-521-89049-6 PB £23.99 Contents: Introduction; 1. Revision Series, 341 of basic structures; 2. Duality between 2007 228 x 152 mm 368pp geometry and algebra; 3. The quantum 19 line diagrams 40 tables general linear group; 4. Modules and tensor 978-0-521-69964-8 PB £40.00 Algebra and products; 5. Cauchy modules; 6. Algebras; 7. Coalgebras and bialgebras; 8. Dual Number Theory coalgebras of algebras; 9. Hopf algebras; Symmetric Generation 10. Representations of quantum groups; of Groups 11. Tensor categories; 12. Internal homs With Applications to many of the Multiplicative Number and duals; 13. Tensor functors and Yang- Sporadic Finite Simple Groups Theory I Baxter operators; 14. A tortile Yang-Baxter Robert T. Curtis Classical Theory operator for each finite-dimensional vector University of Birmingham space; 15. Monoids in tensor categories; Hugh L. Montgomery This comprehensive text develops the 16. Tannaka duality; 17. Adjoining an University of Michigan, Ann Arbor notion of symmetric generation from antipode to a bialgebra; 18. The quantum and Robert C. Vaughan general linear group again; 19. Solutions to scratch and goes on to describe how Pennsylvania State University exercises; References; Index. the technique can be used to define and construct many of the sporadic simple Prime numbers are the multiplicative Australian Mathematical Society Lecture building blocks of natural numbers. Series, 19 groups (including the Mathieu groups, Understanding their overall influence 2007 228 x 152 mm 260pp the Janko groups and the Higman-Sims and especially their distribution gives 25 line diagrams 1 half-tone 25 exercises group) in a uniform and accessible way. rise to central questions in mathematics 978-0-521-69524-4 PB £27.99 Encyclopedia of Mathematics and its and physics. The authors bring their Applications, 111 extensive and distinguished research 2007 234 x 156 mm 410pp expertise to prepare the student for Theory of Finite 49 line diagrams 4 colour plates 54 tables intelligent reading of the more advanced Simple Groups 49 exercises 978-0-521-85721-5 HB c. £65.00 Gerhard O. Michler research literature. Publication June 2007 Universität Duisburg-Essen and Cornell Contents: Preface; Notation; 1. Dirichlet University series-I; 2. The elementary theory of arithmetic functions; 3. Principles and This book provides the first first examples of sieve methods; 4. Primes representation theoretic and algorithmic in arithmetic progressions-I; 5. Dirichlet approach to the theory of abstract finite series-II; 6. The prime number theorem; simple groups. Concrete applications 7. Applications of the prime number are demonstrated in the construction theorem; 8. Further discussion of the prime of the simple satellites of the known number theorem; 9. Primitive characters and Gauss sums; 10. Analytic properties of the zeta function and L-functions; 11. Primes Algebra and Number Theory 

Handbook of of L-functions in a style accessible to Groups St Andrews Tilting Theory graduate students with basic knowledge 2005 of classical analysis, complex variable Edited by Lidia Angeleri Hügel Volume 2 theory, and algebra. Università degli Studi dell’Insubria, Italy Edited by C. M. Campbell Cambridge Studies in Advanced Dieter Happel University of St Andrews, Scotland Mathematics, 99 Technische Universität Chemnitz-Zwickan, M. R. Quick 2006 228 x 152 mm 508pp Germany University of St Andrews, Scotland 978-0-521-83771-2 HB £50.00 and Henning Krause E. F. Robertson Universität-Gesamthochschule Paderborn, University of St Andrews, Scotland Germany Integral Closure of and G. C. Smith The aim of this book is to present Ideals, Rings, and University of Bath the basic concepts of tilting theory as Modules This second volume of a two-volume well as the variety of applications. It book contains selected papers from contains a collection of key articles, Irena Swanson Reed College, Portland the international conference ‘Groups St which together form a handbook Andrews 2005’. Contributions by John of the subject, and provide both and Craig Huneke University of Kansas Meakin and Ákos Seress are included, an introduction and reference for as are survey and research articles by Integral closure is a tool for the analysis newcomers and experts alike. other conference participants, to provide of many algebraic and geometric London Mathematical Society Lecture Note a snapshot of the state of research in Series, 332 problems. Ideal for graduate students group theory today. 2007 228 x 152 mm 480pp and researchers in commutative London Mathematical Society Lecture Note 37 line diagrams 8 half-tones 1 table algebra or ring theory, this book Series, 340 978-0-521-68045-5 PB £43.00 collects together the central notions of 2007 228 x 152 mm 350pp integral closure and presents a unified 20 line diagrams 16 tables 16 exercises The Classical Fields treatment. Contains many worked 978-0-521-69470-4 PB £40.00 examples and exercises. Structural Features of the Real and Rational Numbers London Mathematical Society Lecture Note Series, 336 Recent Bestseller H. Salzmann 2006 228 x 152 mm 446pp 6 line diagrams Eberhard-Karls-Universität Tübingen, Germany 346 exercises T. Grundhöfer 978-0-521-68860-4 PB £38.00 The Prime Number Bayerische-Julius-Maximilians-UniversitÃ≠t WÃflrzburg, Germany Theorem G. J. O. Jameson H. Hähl Groups St Andrews Lancaster University Universität Stuttgart, Germany 2005 This textbook demonstrates how the and R. Löwen Volume 1 Technische Universität Braunschweig, Germany tools of analysis can be used in number Edited by C. M. Campbell theory to attack a famous problem. The classical fields are the real, rational, University of St Andrews, Scotland complex and p-adic numbers. Each of M. R. Quick ‘The entire exposition is extremely these fields comprises several intimately University of St Andrews, Scotland lucid, motivated and amply interwoven algebraical and topological E. F. Robertson commentated throughout. With structures. This comprehensive text University of St Andrews, Scotland numerous examples illustrating studies these underlying structures and G. C. Smith the purely theoretical parts. and analyzes their interactions and University of Bath Unquestionably, the book bespeaks the author’s teaching skill and interdependencies. Exercises, hints and This first volume of a two-volume book solutions are provided. experience just as much as his contains selected papers from the gripping passion for this refined and Encyclopedia of Mathematics and its international conference ‘Groups St Applications, 112 fascinating topic. Altogether, this Andrews 2005’. Contributions by Peter textbook is outstandingly suitable 2007 234 x 156 mm 420pp 205 exercises Cameron and Rostislav Grogorchuk are for both a course on prime number 978-0-521-86516-6 HB c. £60.00 theory, at the upper-graduate level, Publication May 2007 included, as are survey and research articles by other conference participants, and as a source for self-instruction … to provide a snapshot of the state of Anyway, this text is a highly valuable Automorphic Forms research in group theory today. enhancement of the existing literature on the subject which stands out by its and L-Functions for the London Mathematical Society Lecture Note Series, 339 particular user-friendliness.’ Group GL(n,R) Zentralblatt MATH 2007 228 x 152 mm 366pp Dorian Goldfeld 41 line diagrams 3 tables 40 exercises Columbia University, New York 978-0-521-69469-8 PB £40.00 L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self- contained introduction to the theory

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Contents: Preface; 1. Foundations; 2. Some Spectral Methods Contents: Preface to the Third English important Dirichlet series and arithmetic Edition; Preface to the First English Edition; functions; 3. The basic theorems; 4. Prime for Time-Dependent Preface to the German Edition; Notation; numbers in residue classes: Dirichlet’s Problems 1. Introduction; 2. Conforming finite theorem; 5. Error estimates and the Jan Hesthaven elements; 3. Nonconforming and other Riemann hypothesis; 6. An ‘elementary’ Brown University, Rhode Island methods; 4. The conjugate gradient method; proof of the prime number theorem; Sigal Gottlieb 5. Multigrid methods; 6. Finite elements in Appendices; Bibliography; Index. University of Massachusetts, Dartmouth solid mechanics; References; Index. London Mathematical Society Student Texts, and David Gottlieb 2007 228 x 152 mm 370pp 53 Brown University, Rhode Island 64 line diagrams 9 tables 162 exercises 2003 228 x 152 mm 262pp 1 line diagram Spectral methods are useful 978-0-521-70518-9 PB c. £29.99 Publication March 2007 978-0-521-89110-3 PB £22.99 techniques for solving integral and partial differential equations, many of which appear in fluid mechanics Feature title Computational and engineering problems. Based on a graduate course, these popular and Writing Scientific Science efficient techniques are presented with Software both rigorous analysis and extensive A Guide to Good Style coverage of their wide range of Suely Oliveira Feature title applications. University of Iowa Cambridge Monographs on Applied and and David E. Stewart Numerical Solution Computational Mathematics, 21 University of Iowa of Hyperbolic Partial 2007 228 x 152 mm 284pp This manual of scientific computing style Differential Equations 50 line diagrams will prove to be an essential addition to John A. Trangenstein 978-0-521-79211-0 HB £40.00 the bookshelf and lab of everyone who Duke University, North Carolina writes numerical software. Scientists, Numerical Solution of Hyperbolic Partial Graduate Textbook engineers and computer scientists who Differential Equations is a new type of follow its advice will learn how to write graduate textbook, comprising print, Finite Elements good software, and how to test it for and interactive electronic components Theory, Fast Solvers, and bugs, accuracy and performance. (on CD). It is a comprehensive Applications in Solid Mechanics presentation of the modern theory and Third edition ‘Writing Scientific Software bridges the chasm that too often separates numerics with a range of applications Dietrich Braess University of Bochum numerical analysis from real scientific broad enough to engage most computing. It is full of tips, tricks, and engineering disciplines and many areas This definitive introduction to finite just plain interesting information. of applied mathematics. element methods has been thoroughly The reader will learn how to write Contents: Preface; 1. Introduction to partial updated for a third edition which code that takes advantage of many differential equations; 2. Scalar hyperbolic features important new material for hidden features in modern computer conservations laws; 3. Nonlinear scalar laws; both research and application of the architectures, programming languages, 4, Nonlinear hyperbolic systems; 5. Methods finite element method. and compilers. This is a book that is for scalar laws; 6. Methods for hyperbolic Graduate students who require an full of good sense.’ systems; 7. Methods in multiple dimensions; introduction to finite element methods William H. Press, author of Numerical Recipes 8. Adaptive mesh refinement; Bibliography; will find this text invaluable. 2006 247 x 174 mm 316pp Index. 978-0-521-85896-0 HB £45.00 2007 247 x 174 mm 563pp ‘This is a well written book on the 978-0-521-67595-6 PB £19.99 mathematical foundation of the finite 109 line diagrams 2 tables 141 exercises 2007 247 x 174 mm 470pp element method which should appeal 978-0-521-87727-5 HB c. £40.00 77 line diagrams 5 tables 105 figures Publication September 2007 to graduate mathematicians and 978-0-521-84764-3 HB c. £50.00 Includes CD-ROM researchers in numerical methods and theoretical mechanics. The coverage of the mathematical theories used Graduate Textbook in the finite element formulation is comprehensive.’ An Introduction to A. A. Becker, Journal of Mechanical Engineering Parallel and Vector Science Scientific Computation Ronald W. Shonkwiler Georgia Institute of Technology, Atlanta and Lew Lefton Georgia Institute of Technology, Atlanta In this introductory text, the fundamental algorithms of numerical linear algebra are developed in a parallel context. Topics include direct Computational Science / Dynamical Systems, Mechanics and Modelling  and iterative methods for solving linear mechanics: 12. Lagrange’s equations and ranging from Lie’s classification problem systems, numerical methods for the conservation principle; 13. The calculus to analysis of laser beams. eigenvector/eigenvalue problem and of variations and Hamilton’s principle; Encyclopedia of Mathematics and its applications to Monte Carlo methods. 14. Hamilton’s equations and phase space; Applications, 101 Part IV. Further Topics: 15. The general Contents: Part I. Machines and 2006 234 x 156 mm 518pp theory of small oscillations; 16. Vector Computation: 1. Introduction – the 48 line diagrams 10 half-tones 30 tables angular velocity and rigid body kinematics; nature of high performance computation; 978-0-521-82476-7 HB £80.00 17. Rotating reference frames; 18. Tensor 2. Theoretical considerations – complexity; algebra and the inertia tensor; 19. Problems 3. Machine implementations; Part II. Linear in rigid body dynamics; Appendix: centres of Introduction to Systems: 4. Building blocks – floating mass and moments of inertia; Answers to point numbers and basic linear algebra; Homogenization the problems; Bibliography; Index. 5. Direct methods for linear systems and Methods in Continuum 2006 247 x 174 mm 608pp LU decomposition; 6. Direct methods Mechanics for systems with special structure; 193 line diagrams 3 tables 348 exercises 978-0-521-82678-5 HB £60.00 William Parnell 7. Error analysis and QR decomposition; 978-0-521-53409-3 PB £27.99 University of Manchester 8. Iterative methods for linear systems; 9. Finding eigenvalues and eigenvectors; and Ian Abrahams University of Manchester Part III. Monte Carlo Methods: 10. Monte Spline Functions on An excellent guide to the modeling of Carlo simulation; 11. Monte Carlo Triangulations optimization; Appendix: programming composite materials, this text bridges examples. Ming-Jun Lai the gap between undergraduate University of Georgia Cambridge Texts in Applied Mathematics, 41 continuum mechanics and graduate and Larry L. Schumaker studies in homogenization techniques. 2006 228 x 152 mm 300pp 10 tables Vanderbilt University, Tennessee 120 exercises The book begins with the simplest 978-0-521-86478-7 HB £50.00 Spline functions are universally methods for static problems and ends 978-0-521-68337-1 PB £22.99 recognized as highly effective tools in with effective properties regarding wave approximation theory, computer-aided propagation in composites. Examples geometric design, image analysis, and exercises are offered throughout. and numerical analysis. A detailed Cambridge Texts in Applied Mathematics Dynamical mathematical treatment of polynomial 2007 228 x 152 mm 300pp Systems, splines on triangulations is outlined 978-0-521-84169-6 HB c. £65.00 in this text, providing a basis for 978-0-521-60260-0 PB c. £25.99 developing practical methods for using Publication April 2007 Mechanics and splines in numerous application areas. Encyclopedia of Mathematics and its Modelling Applications, 110 Textbook 2007 234 x 156 mm 608pp Numerical Methods for Feature title 83 line diagrams 32 half-tones 12 tables 978-0-521-87592-9 HB £70.00 Chemical Engineering Textbook Publication March 2007 Applications in MATLAB Kenneth J. Beers Classical Mechanics Massachusetts Institute of Technology R. Douglas Gregory Contact Geometry and University of Manchester Suitable for a first year graduate course, Nonlinear Differential this textbook unites applications of Gregory’s Classical Mechanics is a Equations numerical mathematics and scientific thorough, self-contained and highly Alexei Kushner computing to the practise of chemical readable account of a subject many Astrakhan State Pedagogical University engineering. The methods are developed students find difficult. The author’s Valentin Lychagin at a level of mathematics suitable clear and systematic style promotes Universitetet i Tromsø, Norway for graduate engineering. MATLAB a good understanding of the subject: and Vladimir Rubtsov is integrated within each chapter each concept is motivated and Université d’Angers and numerous examples in chemical illustrated by worked examples, while Explains how to solve highly non- engineering are provided. problem sets provide ample practice for trivial nonlinear partial and ordinary understanding and technique. Contents: 1. Linear algebra; 2. Nonlinear differential equations using methods algebraic systems; 3. Matrix eigenvalue Contents: Part I. Newtonian Mechanics from contact and symplectic geometry. analysis; 4. Initial value problems; of a Single Particle: 1. The algebra and Combining the clarity and accessibility 5. Numerical optimization; 6. Boundary calculus of vectors; 2. Velocity, acceleration of an advanced textbook with the value problems; 7. Probability theory and and scalar angular velocity; 3. Newton’s completeness of an encyclopedia, it stochastic simulation; 8. Bayesian statistics laws of motion and the law of gravitation; contains applications to problems and parameter estimation; 9. Fourier 4. Problems in particle dynamics; 5. Linear analysis. oscillations; 6. Energy conservation; 7. Orbits 2006 247 x 174 mm 486pp in a central field; 8. Non-linear oscillations 151 line diagrams 18 tables 87 exercises and phase space; Part II. Multi-particle 978-0-521-85971-4 HB £45.00 Systems: 9. The energy principle; 10. The linear momentum principle; 11. The angular momentum principle; Part III. Analytical

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Dynamic Modeling and of the ILES methodology and reviews its which engineering, physics, and applied Control of Engineering accomplishments. mathematics must be combined. Systems Contents: Part I. Motivation; Part II. Contents: Part I. Basic Topics: Capturing Physics with Numerics; Part 1. Introduction; 2. Kinematics; 3. Kinetics; Third edition III. Verification and Validation; Part IV. 4. Linear elasticity; 5. Newtonian fluid Bohdan Kulakowski Frontier Flows. mechanics; Part II. Special Topics: Pennsylvania State University 6. Curvilinear continuum; 7. Nonlinear 2007 253 x 177 mm 552pp 15 tables John F. Gardner 978-0-521-86982-9 HB £65.00 continuum; 8. Electromagnetic continuum; Boise State University Publication March 2007 9. Differential geometry continuum; and J. Lowen Shearer Epilogue. Pennsylvania State University 2007 253 x 177 mm 440pp 2 tables This is a textbook for undergraduate Numerical Modeling of 90 exercises courses in system dynamics and controls. Ocean Circulation 978-0-521-87406-9 HB £45.00 Publication April 2007 It presents a comprehensive treatment Robert N. Miller of the analysis of lumped parameter Oregon State University physical systems. Beginning with a This book describes the workings Recent Bestseller discussion of mathematical models and of ocean models, and examines the ODE’s, the book covers input/output and models critically. Numerical analysis is state space models, computer simulation introduced as needed, and exercises Textbook and modeling methods and techniques are included to illustrate major in mechanical, electrical, thermal and An Introduction to points. This book is ideal for graduate Partial Differential fluid domains. students of oceanography, geophysics, Contents: Preface; 1. Introduction; climatology and atmospheric science, Equations 2. Mechanical systems; 3. Mathematical and researchers in oceanography and Yehuda Pinchover models; 4. Analytical solutions of system atmospheric science. Technion – Israel Institute of Technology, Haifa input-output equations; 5. Numerical Contents: 1. Introduction; 2. Some and Jacob Rubinstein solutions of ordinary differential equations; Indiana University basic results from numerical analysis; 6. Simulation of dynamic systems; 3. Shallow-water models: the simplest A complete introduction to partial 7. Electrical systems; 8. Thermal systems; ocean models; 4. Primitive equation models; differential equations. A textbook aimed 9. Fluid systems; 10. Mixed systems; 5. Quasigeostrophic models; 6. Models of at students of mathematics, physics and 11. Transfer functions; 12. Frequency the coastal ocean; 7. Models of the tropical engineering. analysis; 13. Closed-loop systems and ocean; References; Index. system stability; 14. Control systems; 2007 247 x 174 mm 252pp ‘Their book spans both introductory 15. Analysis of discrete-time systems; and advanced material, making it 16. Digital control systems; Appendix 20 line diagrams 65 half-tones 23 exercises 978-0-521-78182-4 HB £35.00 suitable for use right through a UK 1. Fourier series and the Fourier undergraduate degree. … It stresses transformation; Appendix 2. Laplace the practical applications of rigour, transformations; Appendix 3. MATLAB Textbook introduced with a touch sufficiently tutorial; Appendix 4. Simulink tutorial; Index. light not to put off the average 2007 253 x 177 mm 432pp 31 tables General Continuum student.‘ 204 exercises Mechanics Times Higher Education Supplement 978-0-521-86435-0 HB c. £45.00 Second edition Publication June 2007 Contents: 1. Introduction; 2. First-order T. J. Chung equations; 3. Second-order linear equations; University of Alabama, Huntsville 4. The 1D wave equation; 5. Separation Implicit Large Eddy This book provides a new approach of variables; 6. Sturm-Liouville problem; Simulation in its unified theory in continuum 7. Elliptic equations; 8. Green’s function Computing Turbulent Fluid mechanics. The conservational properties and integral representation; 9. Equations in Dynamics of mass, momentum, and energy on high dimensions; 10. Variational methods; 11. Numerical methods; 12. Solutions of Edited by Fernando F. Grinstein earth and in the universe constitute Naval Research Laboratory, Washington DC the ingredients of this book. This is the odd-numbered problems. Len G. Margolin book for interdisciplinary studies to carry 2005 247 x 174 mm 384pp Los Alamos National Laboratory out the modern scientific projects in 35 line diagrams 200 exercises 35 figures 978-0-521-84886-2 HB £65.00 and William J. Rider 978-0-521-61323-1 PB £27.99 Los Alamos National Laboratory This book describes one approach to the numerical simulation of turbulent flows, Implicit Large Eddy Simulation (ILES). ILES is a relatively new approach that combines generality and computational efficiency with documented success in many areas of complex fluid flow. This book synthesizes the current understanding of the theoretical basis Dynamical Systems, Mechanics and Modelling / Mathematical Physics and Biology 11

Recent Bestseller learn how to analyze genomic data Textbook first-hand. The Theoretical Contents: Prologue (in praise of cells); Textbook 1. The first look at a genome (sequence Biologist’s Toolbox statistics); 2. All the sequence’s men (gene Quantitative Methods for An Introduction to finding); 3. All in the family (sequence Ecology and Evolutionary Ordinary Differential alignment); 4. The boulevard of broken Biology Equations genes (hidden Markov models); 5. Are Marc Mangel Neanderthals among us? (variation University of California, Santa Cruz James C. Robinson University of Warwick within and between species); 6. Fighting In this textbook, Marc Mangel provides HIV (natural selection at the molecular a no-nonsense introduction to the skills A first course in ordinary differential level); 7. SARS: a post-genomic epidemic equations for mathematicians, scientists needed to understand the principles of (phylogenetic analysis); 8. Welcome to theoretical and mathematical biology. and engineers. Solutions are provided. the hotel Chlamydia (whole genome Suitable for advanced undergraduate comparisons); 9. The genomics of wine- courses in theoretical and mathematical ‘The presentation is sensitive to making (analysis of gene expression); 10. A the needs of students, with careful bed-time story (identification of regulatory biology, this book forms an essential algebraic steps included in most sequences); Appendix. resource for anyone wanting to gain an cases. Appendices on basic required understanding of theoretical ecology 2006 246 x 189 mm 200pp mathematical techniques are also and evolution. included.‘ 48 line diagrams 3 half-tones 12 tables 32 exercises Contents: Preface; 1. Four examples and Mathematical Reviews 978-0-521-85603-4 HB £65.00 a metaphor; 2. Topics from ordinary and 978-0-521-67191-0 PB £24.99 Contents: Part I. First Order Differential partial differential equations; 3. Probability Equations; Part II. Second Order Linear and some statistics; 4. The evolutionary ecology of parasitoids; 5. The population Equations With Constant Coefficients; Textbook Part III. Linear Second Order Equations biology of disease; 6. An introduction to some of the problems of sustainable With Variable Coefficients; Part IV. Mathematical Models in Biology fisheries; 7. The basics of stochastic Numerical Methods and Difference population dynamics; 8. Applications of Equations; Part V. Coupled Linear An Introduction stochastic population dynamics to ecology, Equations; Part VI. Coupled Nonlinear Elizabeth S. Allman evolution and biodemography. Equations. University of Southern Maine 2006 247 x 174 mm 390pp 2004 247 x 174 mm 414pp and John A. Rhodes 57 line diagrams 29 half-tones 140 line diagrams 7 half-tones 120 exercises Bates College, Maine 978-0-521-83045-4 HB £55.00 978-0-521-82650-1 HB £70.00 Linear and non-linear models of 978-0-521-53748-3 PB £27.99 978-0-521-53391-1 PB £29.99 populations, molecular evolution, phylogenetic tree construction, genetics, Recent Bestseller and infectious diseases are presented Mathematical with minimal prerequisites. Textbook Physics and ‘… many institutions, like mine, are looking into ways of adding a Mathematical Methods mathematical modeling component for Physics and Biology into the undergraduate curriculum for general biology students. This Engineering book will be a great asset to these A Comprehensive Guide Feature title institutions … a very interesting and Third edition Textbook challenging book for undergraduate K. F. Riley students with a strong interest in University of Cambridge Introduction to biology …’. M. P. Hobson Computational Mei Zhu, Pacific Lutheran University University of Cambridge Genomics Contents: 1. Dynamic modeling with and S. J. Bence A Case Studies Approach different equations; 2. Linear models of Highly acclaimed undergraduate Nello Cristianini structured populations; 3. Non-linear models textbook teaches all the mathematics for University of Bristol of interactions; 4. Modeling molecular undergraduate courses in the physical and Matthew W. Hahn evolution; 5. Constructing phylogenic trees; sciences. Indiana University, Bloomington 6. Genetics; 7. Infectious disease modeling; 8. Curve fitting and biological modeling; 2006 247 x 174 mm 1362pp Are we related to Neanderthals? Where 235 line diagrams 820 exercises Appendix A. Basic analysis of numerical did SARS come from? Such questions 978-0-521-86153-3 HB £70.00 data; Appendix B. For further reading. are answered by statistical and 978-0-521-67971-8 PB £35.00 computational analysis of genetic data, 2003 228 x 152 mm 384pp and are the vehicle for this entertaining 65 line diagrams 40 tables 375 exercises 978-0-521-81980-0 HB £65.00 introduction to computational genomics. 978-0-521-52586-2 PB £27.99 The case-studies approach with Matlab demos provides an enjoyable way to

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Textbook Contents: Part I. Spin Zero; Part II. Spin showing this mathematically elusive Student Solution One Half; Part III. Spin One. technique to be a robust, user friendly 2007 247 x 174 mm 664pp and multipurpose tool. Manual for 87 line diagrams 3 half-tones 250 exercises Cambridge Monographs on Mathematical Mathematical Methods 978-0-521-86449-7 HB £35.00 Physics for Physics and 2006 247 x 174 mm 476pp 42 line diagrams 7 half-tones Engineering Third Geometry of 978-0-521-86696-5 HB £80.00 Edition Quantum States K. F. Riley An Introduction to Quantum Path Integrals and University of Cambridge Entanglement and M. P. Hobson Ingemar Bengtsson Anomalies in Curved University of Cambridge Stockholms Universitet Space Solutions manual contains complete and Karol Zyczkowski Fiorenzo Bastianelli worked solutions to half of the problems Jagiellonian University, Krakow Università degli Studi, Bologna, Italy in Mathematical Methods for Physics An introduction to the key concepts of and Peter van Nieuwenhuizen and Engineering, Third Edition. quantum information processing. The State University of New York 2006 247 x 174 mm 544pp authors cover basic quantum theory, This book introduces path integrals, 26 line diagrams 419 exercises the geometry of quantum state spaces a powerful method for describing 978-0-521-67973-2 PB £13.99 and quantum entanglement, which has quantum phenomena, and then uses become a key resource for quantum them to compute anomalies in quantum computation. This richly-illustrated book Textbook field theories. 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Marián Fecko Comenius University, Bratislava Astrophysical Flows ‘This accessible and conceptually Covering subjects including manifolds, James E. Pringle structured introduction to quantum tensor fields, spinors, and differential University of Cambridge field theory will be of value not only forms, this textbook introduces and Andrew King to beginning students but also to geometrical topics useful in modern University of Leicester practicing physicists interested in theoretical physics and mathematics. It Developed from a course in learning or reviewing specific topics. The book is organized in a modular develops understanding through over astrophysical fluid dynamics, this new fashion, which makes it easy to extract 1000 short exercises, and is suitable for graduate textbook provides a basic the basic information relevant to advanced undergraduate or graduate understanding of the fluid dynamical the reader’s area(s) of interest. The courses in physics, mathematics and processes relevant to astrophysics. material is presented in an intuitively engineering. Covering topics including wave clear and informal style. Foundational 2006 247 x 174 mm 714pp propagation, shocks, spherical flows and topics such as path integrals and 95 line diagrams 1100 exercises stellar oscillations, this book is suitable Lorentz representations are included 978-0-521-84507-6 HB £45.00 for graduate students in astrophysics, early in the exposition, as appropriate physics and applied mathematics. for a modern course; later material includes a detailed description Functional Integration Contents: 1. The basic fluid equations; of the Standard Model and other Action and Symmetries 2. Compressible media; 3. Spherically symmetric flows; 4. Stellar models and advanced topics such as instantons, Pierre Cartier stellar oscillations; 5. 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10. Linear shear flows; 11. Rotating flows; 12. Multivariate normal distribution; from disparate fields and lessons from 12. Circular shear flow with self-gravity; 13. Conditional distributions; 14. Generating nature. 13. Modes in rotating stars; 14. Cylindrical functions; 15. Markov chains; Appendix; Contents: 1. Tour d’horizon; shear flow – non-axisymmetric instability; Recommended readings; Answers to odd- Part I. Distribution Networks: 2. Simple References; Index. numbered problems; Bibliography. flows; 3. Continuum formulations; 4. Multi- 2007 247 x 174 mm 256pp 2007 228 x 152 mm 472pp class and destination-specific flows; 16 line diagrams 1 half-tone 40 exercises 42 line diagrams 22 tables 400 exercises 5. Design optimality under variable loading; 978-0-521-86936-2 HB £45.00 978-0-521-70172-3 PB c. £21.99 6. Concave costs and hierarchical structure; Publication April 2007 Publication August 2007 7. Road networks; 8. Structural optimisation; Michell structures; 9. Structures: Feature title computational experience of evolutionary Statistics, algorithms; 10. Structure design for variable Principles of Statistical loading; Part II. Artificial Neural Networks: Applied Inference 11. Models and learning; 12. Some D. R. Cox particular nets; 13. Oscillatory operation; Nuffield College, Oxford Part III. Processing Networks: 14. Queuing Probability and networks; 15. Time-sharing networks; No one is better placed than D. R. Part IV. Communication Networks: 16. Loss Optimization Cox to give the comprehensive, networks: optimality and robustness; balanced account of the theory of 17. Loss networks: stochastics and self- statistical inference, its main ideas regulation; 18. Operation of the Internet; Textbook and controversies, that is now needed. 19. Evolving networks and the World-wide Understanding This book is for every serious user or Web; Appendix 1. Spatial integrals for the Probability student of statistics – for anyone serious telephone problem; Appendix 2. Bandit and about the scientific understanding of tax processes; Appendix 3. Random graphs Chance Rules in Everyday Life uncertainty. and polymer models; References; Index. Second edition Cambridge Series in Statistical and Henk Tijms ‘A deep and beautifully elegant Probabilistic Mathematics, 21 Vrije Universiteit, Amsterdam overview of statistical inference, 2007 228 x 152 mm 300pp Using examples from lotteries and from one of the towering figures who 79 line diagrams casino games, the author of this created modern statistics. This book 978-0-521-87100-6 HB c. £35.00 should be essential reading for all who accessible book demystifies much of Publication March 2007 call themselves ‘statistician’.’ probability theory, including betting David Hand, Imperial College London systems and the central limit theorem. Selected Statistical This fully revised second edition has Contents: Preface; 1. Preliminaries; Papers of Sir David Cox been expanded considerably, with more 2. Some concepts and simple applications; David Cox explanations, examples and exercises 3. Significance tests; 4. More complicated Nuffield College, Oxford providing all the material taught in an situations; 5. Some interpretational issues; Edited by D. J. Hand introductory probability course. 6. Asymptotic theory; 7. Further aspects of maximum likelihood; 8. Additional Imperial College of Science, Technology and Medicine, London ‘This book is eminently suitable for objectives; 9. Randomization-based analysis; students undertaking a first course in Appendix A. A brief history; Appendix B. A and A. M. Herzberg probability. It would be particularly personal view; References; Author index; Queen’s University, Ontario useful for service teaching where Index. Sir David Cox is one of the seminal students are not aiming for a degree 2006 228 x 152 mm 236pp 5 figures statistical thinkers of the twentieth and classification in mathematics or 978-0-521-86673-6 HB £45.00 twenty-first centuries. In this selection statistics.’ 978-0-521-68567-2 PB £19.99 of his work, Professor Cox reviews his Significance most influential and interesting papers published before 1993. Each paper is Contents: Preface; Introduction; Feature title Part I. Probability in Action: 1. Probability the subject of a candid commentary questions; 2. The law of large numbers Networks written especially for this collection. In and simulation; 3. Probabilities in Optimisation and Evolution these he describes the context in which everyday life; 4. Rare events and lotteries; Peter Whittle the papers arose and their subsequent 5. Probability and statistics; 6. Chance University of Cambridge influence. He also identifies avenues trees and Bayes’ rule; Part II. Essentials of Foundational book on optimization of for future research. Organised in two Probability: 7. Foundations of probability network structure, not just function, volumes and grouped by theme, the theory; 8. Conditional probability and deriving comprehensible and realistic papers and commentaries provide Bayes; 9. Basic rules for discrete random design principles. Connections are made excellent coverage of many of the most variables; 10. Continuous random variables; significant advances in statistics in 11. Jointly distributed random variables; with optimal mechanical structures, formation of bone structure, and recent times. But this collection is more neural, processing and communication than a record of scientific achievement. networks, including the Internet and the Professor Cox’s writing is characterised Web. A masterful unification of theory by clarity and wit, so these volumes can

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be read as much for enjoyment as for Feature title students of applied statistics, and edification. New Edition practising statisticians. Contributors: Volume I: R. M. Now in Paperback From reviews of previous edition: Anderson, S. L. Anderson, M. Atiqullah, ‘I would strongly recommend the book L. Billard, K. H. V. Booth, G. E. P. Box, L. The Cambridge to scientists who have already had a Brandwood, V. Farewell, R. Fitzpatrick, A. Dictionary of Statistics regression or a linear models course E. Fletcher, S. M. Gore, D. R. Jones, P. A. Third edition and who wish to learn to use R … an W. Lewis, G. F. Medley, N. J. H. Small, E. J. B. S. Everitt easy-to-read and an understandable Snell, P. J. Solomon, D. J. Spiegelhalter, E. King’s College London reference on the use of R for practical Spjotvoll, A. Stuart, N. Wermuth data analysis.’ If you use statistics and need easy Volume II: A. Azzalini, O. E. Barndorff- R News access to simple, reliable definitions Nielsen, P. Bloomfield, A. C. Davison, and explanations of modern statistical Contents: Preface; 1. A brief introduction P. S. Eagleson, A. M. Herzberg, D. V. and statistics-related concepts, then to R; 2. Styles of data analysis; 3. Statistical Hinkley, V. Isham, P. McCullagh, N. Reid, look no further than this dictionary. models; 4. An introduction to formal I. Rodriguez-Iturbe, W. L. Smith, N. Over 3600 terms are defined, covering inference; 5. Regression with a single Wermuth medical, survey, theoretical, and applied predictor; 6. Multiple linear regression; 2006 253 x 177 mm 1150pp statistics, including computational 7. Exploiting the linear model framework; 978-0-521-85816-8 2 Volume Set £180.00 aspects. Entries are provided for 8. Generalized linear models and survival standard and specialised statistical analysis; 9. Time series models; 10. Multi- level models and repeated measures; software. In addition, short biographies Selected Statistical 11. Tree-based classification and regression; of over 100 important statisticians Papers of Sir David Cox 12. Multivariate data exploration and are given. Definitions provide enough Volume 1: Design of Investigations, discrimination; 13. Regression on principal mathematical detail to clarify concepts Statistical Methods and Applications component or discriminant scores; 14. The and give standard formulae when these R system – additional topics; Epilogue David Cox are helpful. The majority of definitions Nuffield College, Oxford – models; References; Index of R symbols then give a reference to a book or article Edited by D. J. Hand and functions; Index of terms; Index of Imperial College of Science, Technology and where the user can seek further or more names. Medicine, London specialised information, and many are Cambridge Series in Statistical and and A. M. Herzberg accompanied by graphical material to Probabilistic Mathematics, 10 Queen’s University, Ontario aid understanding. 2007 247 x 174 mm 528pp 12 colour plates 50 tables 150 exercises 150 figures Sir David Cox’s most important papers, Earlier edition: ‘This is already the 978-0-521-86116-8 HB £43.00 each the subject of a new commentary most useful book on my shelf … by Professor Cox. excellent value and it is highly 2006 247 x 174 mm 604pp recommended as a reference text for Textbook 978-0-521-84939-5 HB £100.00 anyone who is even mildly interested in statistics.’ Data Analysis Using The Statistician Regression and Selected Statistical 2006 247 x 174 mm 442pp 134 figures Multilevel/Hierarchical Papers of Sir David Cox 978-0-521-86039-0 HB £45.00 Models Volume 2: Foundations of Statistical 978-0-521-69027-0 PB £17.99 Andrew Gelman Inference, Theoretical Statistics, Time Series Columbia University and Stochastic Processes New Edition and Jennifer Hill David Cox Columbia University Nuffield College, Oxford Data Analysis and Data Analysis Using Regression and Edited by D. J. Hand Multilevel/Hierarchical Models is a Imperial College of Science, Technology and Graphics Using R Medicine, London An Example-based Approach comprehensive manual for the applied and A. M. Herzberg Second edition researcher who wants to perform data Queen’s University, Kingston John Maindonald analysis using linear and nonlinear regression and multilevel models. The Sir David Cox’s most important papers, Australian National University, Canberra book introduces and demonstrates a each the subject of a new commentary and John Braun wide variety of models and instructs the by Professor Cox. University of Western Ontario reader in how to fit these models using Emphasising hands-on analysis, 2006 247 x 174 mm 602pp freely available software packages. 978-0-521-84940-1 HB £100.00 graphical display and interpretation of data, this is a guide to the practical ‘Data Analysis Using Regression and tools that the R system provides. A Multilevel/Hierarchical Models … website provides computer code and careful yet mathematically accessible data sets, allowing readers to reproduce style is generously illustrated with all analyses. For research scientists, examples and graphical displays, final-year undergraduate or graduate making it ideal for either classroom use or self-study. It appears destined Statistics, Applied Probability and Optimization 15

to adorn the shelves of a great Saddlepoint The Coordinate-Free many applied statisticians and social scientists for years to come.’ Approximations with Approach to Linear Brad Carlin, University of Minnesota Applications Models Ronald W. Butler Michael J. Wichura Contents: Part IA. Single-level Colorado State University University of Chicago Regression; Part IB. Working with Explains in simple language how The coordinate-free, or geometric, Regression Inferences; Part IIA. saddlepoint approximations make approach to the theory of linear models Multilevel Regression; Part IIB. Fitting computations of probabilities tractible is more insightful, more elegant, more Multilevel Models; Part III. From Data for complex models. No previous direct, and simpler than the more Collection to Model Understanding to background in the area is required common matrix approach. This book Model Checking. as the book introduces the subject treats Model I ANOVA and linear Analytical Methods for Social Research from the very beginning. Many real regression models with non-random 2007 253 x 177 mm 648pp 160 exercises data examples show the methods at predictors in a finite-dimensional setting. 978-0-521-86706-1 HB £48.00 work. For statisticians, biostatisticians, Cambridge Series in Statistical and 978-0-521-68689-1 PB £21.99 Probabilistic Mathematics, 19 Publication March 2007 electrical engineers, econometricians, and applied mathematicians. 2007 253 x 177 mm 216pp 7 tables Contents: Preface; 1. Fundamental 978-0-521-86842-6 HB £30.00 Applied Asymptotics approximations; 2. Properties and Case Studies in Small-Sample derivatives; 3. Multivariate densities; Recent Bestseller Statistics 4. Conditional densities and distribution A. R. Brazzale functions; 5. Exponential families and Italian National Research Council, Padova tilted distributions; 6. Further exponential Graduate Textbook A. C. Davison family examples and theory; 7. Probability École Polytechnique Fédérale, Lausanne computation with p*; 8. Probabilities Convex Optimization and N. Reid with r*-type approximations; 9. Nuisance Stephen Boyd University of Toronto parameters; 10. Sequential saddlepoint Stanford University, California applications; 11. Applications to multivariate New likelihood-based methods now and Lieven Vandenberghe testing; 12. Ratios and roots of estimating University of California, Los Angeles allow very accurate approximations in equations; 13. First passage and time to A comprehensive introduction to the finite samples and this book illustrates event distributions; 14. Bootstrapping with realistic examples and case in the transform domain; 15. Bayesian tools, techniques and applications of studies how to use the new theory. The applications; 16. Non-normal bases; convex optimization. treatment is oriented towards practice References; Index. and is accompanied by code in the R ‘Boyd and Vandenberghe have written Cambridge Series in Statistical and a beautiful book that I strongly language, enabling practitioners to apply Probabilistic Mathematics, 22 recommend to everyone interested the methods with ease. 2007 253 x 177 mm 570pp in optimization and computational Contents: Preface; 1. Introduction; 130 line diagrams 1 half-tone 120 tables mathematics: Convex Optimization is 2. Uncertainty and approximation; 283 exercises a very readable introduction to this 3. Simple illustrations; 4. Discrete data; 978-0-521-87250-8 HB c. £48.00 modern field of research.’ Publication June 2007 5. Regression with continuous responses; Mathematics of Operations Research 6. Some case studies; 7. Further topics; 8. Likelihood approximations; 9. Numerical Random Graph Contents: Preface; 1. Introduction; implementation; 10. Problems and further Part I. Theory: 2. Convex sets; 3. Convex results; Appendices – some numerical Dynamics functions; 4. Convex optimization techniques: Appendix 1. Convergence Rick Durrett problems; 5. Duality; Part II. Applications: of sequences; Appendix 2. The sample Cornell University, Ithaca, New York 6. Approximation and fitting; 7. Statistical mean; Appendix 3. Laplace approximation; This book presents a wide-ranging estimation; 8. Geometrical problems; Appendix 4. X2 approximations; variety of mathematical argument to Part III. Algorithms: 9. Unconstrained Bibliography; Index. give insights into the small world model, minimization; 10. Equality constrained minimization; 11. Interior-point methods; Cambridge Series in Statistical and the preferential attachment model Appendices. Probabilistic Mathematics, 23 and related random graphs. A unique 2007 254 x 278 mm 185pp feature is the focus on the dynamics of 2004 246 x 189 mm 730pp 337 exercises 45 line diagrams 4 half-tones 47 tables 178 figures process taking place on the graphs in 978-0-521-83378-3 HB £45.00 69 exercises addition to geometric properties such as 978-0-521-84703-2 HB c. £35.00 Publication April 2007 correctness and diameter. Cambridge Series in Statistical and Probabilistic Mathematics, 20 2007 253 x 177 mm 222pp 978-0-521-86656-9 HB £35.00 Publication February 2007

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… an excellent starting point for Feature title Mathematical a numerate person in the field of mathematical finance.’ Market-Valuation Finance Risk Magazine Methods in Life and Contents: Preface; 1. Risk; 2. Pricing Pension Insurance Feature title methodologies and arbitrage; 3. Trees and Thomas Møller option pricing; 4. Practicalities; 5. The Ito PFA Pension, Copenhagen Optimization Methods calculus; 6. Risk neutrality and martingale and Mogens Steffensen in Finance measures; 7. The practical pricing of a University of Copenhagen Gerard Cornuejols European option; 8. Continuous barrier Students and practitioners needing a Carnegie Mellon University, Pennsylvania options; 9. Multi-look exotic options; guide to life insurance accounting and and Reha Tutuncu 10. Static replication; 11. Multiple sources product development will welcome Quantitative Resources Group, Goldman Sachs of risk; 12. Options with early exercise this book. New developments in life Asset Management, New York features; 13. Interest rate derivatives; insurance mathematics are described, Discusses optimization problems 14. The pricing of exotic interest rate together with more traditional methods, derivatives; 15. Incomplete markets and encountered in financial models, with various chapters addressing specific jump-diffusion processes; 16. Stochastic aspects of market-based valuation. describes the relevant theory and volatility; 17. Variance gamma models; efficient solution methods, and shows 18. Smile dynamics and the pricing of Contents: Preface; 1. Introduction and life how to apply them to practical problems exotic options; Appendix A. Financial and insurance practice; 2. Technical reserves in mathematical finance. Based on a mathematical jargon; Appendix B. Computer and market value; 3. Interest rate theory in successful course at CMU, the text is projects; Appendix C. Elements of probability insurance; 4. Bonus, binomial and Black- class-tested and meets the need for a theory; Appendix D. Hints and answers to Scholes; 5. Integrated actuarial and financial textbook aimed at financial applications. questions; Bibliography; Index. valuation; 6. Surplus-linked life insurance; Contents: 1. Introduction; 2. Linear Mathematics, Finance and Risk, 1 7. Interest rate derivatives in insurance; Appendix A. programming: theory and algorithms; 3. LP 2003 247 x 174 mm 492pp models: asset/liability cash flow matching; 78 line diagrams 150 exercises International Series on Actuarial Science 4. LP models: asset pricing and arbitrage; 978-0-521-82355-5 HB £38.00 2007 228 x 152 mm 294pp 5. Nonlinear programming: theory and 19 line diagrams 6 tables algorithms; 6. NLP volatility estimation; 978-0-521-86877-8 HB £50.00 7. Quadratic programming: theory and C++ Design Patterns algorithms; 8. QP models: portfolio and Derivatives Pricing Insurance Risk and optimization; 9. Conic optimization tools; Mark S. Joshi 10. Conic optimization models in finance; Royal Bank of Scotland Ruin 11. Integer programming: theory and Shows how to combine mathematical David C. M. Dickson algorithms; 12. IP models: constructing University of Melbourne finance and object-oriented an index fund; 13. Dynamic programming programming to practical effect. The book is ideal for a first course in methods; 14. DP models: option pricing; insurance risk theory. 15. DP models: structuring asset backed ‘This is a short book, but an elegant securities; 16. Stochastic programming: one. It would serve as an excellent ‘… requires some mathematical theory and algorithms; 17. SP models: course text for a course on the maturity but provides a good insight value-at-risk; 18. SP models: asset/liability practical aspects of mathematical into how probability distributions tie management; 19. Robust optimization: finance.’ in with insurance applications.’ theory and tools; 20. Robust optimization International Statistical Institute Journal of Applied Statistics models in finance; Appendix A. Convexity; Appendix B. Cones; Appendix C. A Contents: Preface; 1. A simple Monte Carlo Contents: 1. Probability distributions and probability primer; Appendix D. The revised model; 2. Encapsulation; 3. Inheritance and insurance applications; 2. Utility theory; simplex method; Bibliography; Index. virtual functions; 4. Bridging with a virtual 3. Principles of premium calculation; 4. The Mathematics, Finance and Risk, 5 constructor; 5. Strategies, decoration and collective risk model; 5. The individual risk model; 6. Introduction to ruin theory; 2006 247 x 174 mm 358pp statistics; 6. A random numbers class; 7. An 43 line diagrams 44 tables 177 exercises exotics engine and the template pattern; 7. Classical ruin theory; 8. Advanced ruin 978-0-521-86170-0 HB £40.00 8. Trees; 9. Solvers, templates and implied theory. vols; 10. The factory; 11. Design patterns International Series on Actuarial Science revisited; Appendix A. Black-Scholes 2005 228 x 152 mm 242pp The Concepts formulas; Appendix B. Distribution functions; 50 line diagrams 95 exercises 40 figures and Practice of Appendix C. A simple array class; Appendix 978-0-521-84640-0 HB £38.00 Mathematical Finance D. The code; Bibliography. Mathematics, Finance and Risk, 2 Mark S. Joshi Royal Bank of Scotland 2004 247 x 174 mm 214pp 38 exercises 978-0-521-83235-9 HB £37.50 Professional text/reference on mathematical finance.

‘The book is intended as an introduction for a numerate person to the discipline of mathematical finance. In this, Mark Joshi succeeds admirably Mathematical Finance 17

Lévy Processes and Contents: The parable of the bookmaker; Contents: 1. Introduction; 2. Option 1. Introduction; 2. Discrete processes; valuation preliminaries; 3. Random Stochastic Calculus 3. Continuous processes; 4. Pricing market variables; 4. Computer simulation; David Applebaum securities; 5. Interest rates; 6. Bigger models; 5. Asset price movement; 6. Asset price Nottingham Trent University Appendix 1. Further reading; Appendix model: part I; 7. Asset price model: part II; Graduate text describing two of the 2. Notation; Appendix 3. Answers to 8. Black–Scholes PDE and formulas; 9. More main tools for modern mathematical exercises; Appendix 4. Glossary of technical on hedging; 10. The Greeks; 11. More finance. terms; Index. on the Black–Scholes formulas; 12. Risk 1996 228 x 152 mm 243pp neutrality; 13. Solving a nonlinear equation; ‘… the monograph closes the gap 41 line diagrams 9 tables 23 exercises 14. Implied volatility; 15. The Monte Carlo between classical textbooks on 978-0-521-55289-9 HB £40.00 method; 16. The binomial method; 17. Cash- stochastic analysis where either or-nothing options; 18. American options; Brownian motion or general 19. Exotic options; 20. Historical volatility; semimartingales are considered. … Textbook 21. Monte Carlo part II: variance reduction Besides standard results on existence A Course in Financial by antithetic variates; 22. Monte Carlo part and uniqueness of a solution and its III: variance reduction by control variates; Markov property, more advanced Calculus 23. Finite difference methods; 24. Finite concepts are presented, such as Alison Etheridge difference methods for the Black–Scholes representation of the solutions as University of Oxford PDE. Feller processes and as a stochastic 2004 247 x 174 mm 296pp 120 exercises flow.’ ‘ … being relatively short and a 95 figures paperback must make it appealing to Zentralblatt MATH 978-0-521-83884-9 HB £65.00 students and those who need a quick 978-0-521-54757-4 PB £25.99 Contents: 1. Introduction; 2. Lévy introduction to the material. … nicely processes; 3. Martingales, stopping times produced and elegantly laid out. I and random measures; 4. Markov processes, would consider adopting it as a text Textbook semigroups and generators; 5. Stochastic for a course in this topic. integration; 6. Exponential martingales, Publication of the International Statistical Mathematics for change of measure and financial Institute Economics and Finance applications; 7. Stochastic differential Methods and Modelling equations; Notation; Bibliography; Index. Contents: Preface; 1. Single period models; 2. Binomial trees and discrete Martin Anthony Cambridge Studies in Advanced London School of Economics and Political Mathematics, 93 parameter martingales; 3. Brownian motion; 4. Stochastic calculus; 5. The Black-Scholes Science 2004 228 x 152 mm 408pp 133 exercises and Norman Biggs 978-0-521-83263-2 HB £50.00 model; 6. Different payoffs; 7. Bigger models; Bibliography and further reading; London School of Economics and Political Notation; Index. Science Classics in 2002 228 x 152 mm 204pp 138 exercises ‘Throughout, the stress is firmly on Mathematical Finance 14 figures how the mathematics relates to 978-0-521-89077-9 PB £24.99 economics, and this is illustrated with copious examples and exercises that Financial Calculus Textbook will foster depth of understanding.’ L’Enseignement Mathématique An Introduction to Derivative An Introduction to Pricing Contents: 1. Mathematical models in Martin W. Baxter Financial Option economics; 2. Mathematical terms and University of Cambridge Valuation notations; 3. Sequences, recurrences and Andrew J. O. Rennie Mathematics, Stochastics and and limits; 4. Elements of finance; 5. The Union Bank of Switzerland Computation cobweb model; 6. Introduction to calculus; Desmond Higham 7. Some special functions; 8. Introduction ‘… a very readable and useful University of Strathclyde to optimisation; 9. The derivative in introduction to the pricing of economics I; 10. The derivative in economics derivatives … A recommendable ‘… a well organized and well written II; 11. Partial derivatives; 12. Applications book.’ text. The book ‘does what it says on of partial derivatives; 13. Optimisation in Wil Schilders, ITW Nieuws the cover’, is written in plain English two variables; 14. Vectors, preferences and and I think is an excellent introductory convexity; 15. Matrix algebra; 16. Linear ‘… the first rigorous and accessible text. It will be useful to students from equations I; 17. Linear equations II; account of the mathematics behind a wide range of backgrounds and an 18. Inverse matrices; 19. The input output the pricing, construction and hedging essential complement to the standard model; 20. Determinants; 21. Constrained of derivative securities.’ undergraduate course which embeds optimisation; 22. Lagrangians and the L’Enseignement Mathématique mathematical finance into probability consumer; 23. Second-order recurrence theory. Finally, with it being studded with references, it provides an easy entry into deeper material.’ Chris Barnett, UK Nonlinear News

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equations; 24. Macroeconomic applications; utility; 9. Exotic options; 10. Beyond Algorithms on Strings 25. Areas and integrals; 26. Techniques geometric Brownian motion models; Maxime Crochemore of integration; 27. First-order differential 11. Autoregressive models and mean Christophe Hancart equations; 28. Second-order differential reversion; 12. Optimization methods in equations; Selected solutions. finance. and Thierry Lecroq Université de Rouen 1996 228 x 152 mm 410pp 2003 228 x 152 mm 270pp 978-0-521-55113-7 HB £50.00 19 line diagrams 9 tables 150 exercises This text and reference on string 978-0-521-55913-3 PB £25.99 978-0-521-81429-4 HB £30.00 processes and pattern matching presents examples related to the automatic processing of natural language, to the Textbook analysis of molecular sequences and to The Mathematics of Computer the management of textual databases. Financial Derivatives Algorithms are described in a C-like Science language, with correctness proofs and A Student Introduction complexity analysis, to make them ready Paul Wilmott to implement. Imperial College of Science, Technology and Feature title 2007 228 x 152 mm 375pp 6 tables Medicine, London Statistical Machine Sam Howison 142 exercises 978-0-521-84899-2 HB c. £35.00 University of Oxford Translation Publication June 2007 and Jeff Dewynne Philipp Koehn University of Southampton University of Edinburgh This classroom-tested text gives Textbook ‘The layout is good and clear, so is the background in NLP and statistics, then style of notation … overall this is an Protecting Information excellent tool for both mathematicians develops the basics through to current research. By the end readers can build From Classical Error Correction to interested in the world of finance as Quantum Cryptography well as finance practitioners keen their own translation systems. For advanced undergraduates in computer Susan Loepp to rebuild the foundations of their Williams College, Massachusetts knowledge.’ science, graduate students in computer and William K. Wootters Rudi Bogni, Times Higher Education science and computational linguistics, Williams College, Massachusetts Supplement and researchers in NLP; for instruction or self-study. In the transmission of information Contents: Part I. Basic Option Theory; storage, preventing noise and/or Contents: Preface; 1. Introduction; Part II. Numerical Methods; Part III. eavesdropping is essential. This Further Option Theory; Part IV. Interest 2. Words, sentences and corpora; 3. Basic statistics; 4. Word-based models; 5. Phrase- undergraduate introduction to quantum Rate Derivative Products. based models; 6. Decoding; 7. Language computing focuses on error correction 1995 228 x 152 mm 333pp models; 8. Evaluation; 9. Discriminative and cryptography, providing a context 47 line diagrams 143 exercises training; 10. Integrating syntax; 11. Syntax- in which ideas about mathematics, 143 music examples based models; 12. Applications; References; computer science and physics meet 978-0-521-49699-5 HB £40.00 together, and students can understand 978-0-521-49789-3 PB £27.99 Index. 2007 247 x 174 mm 300pp 70 exercises the current thinking in quantum 978-0-521-87415-1 HB c. £30.00 information theory. Textbook Publication August 2007 ‘The authors have combined the two An Elementary ‘hot’ subjects of cryptography and Introduction to Introduction to coding, looking at each with regard to Clustering Large and both classical and quantum models of Mathematical Finance computing and communication. These Options and other Topics High-Dimensional Data exciting topics are unified through Second edition Jacob Kogan the steady, consistent development of Sheldon M. Ross University of Maryland, Baltimore algebraic structures and techniques. University of California, Berkeley This book focuses on a few of the Students who read this book will most important clustering algorithms, walk away with a broad exposure Reviews of the first edition: providing a detailed account of these to both the theory and the concrete application of groups, finite fields, and ‘… an excellent introduction to major models in an information retrieval the subject … the book is ideally vector spaces.’ context. The beginning chapters suited for self-study and provides a Ben Lotto, Vassar College very accessible entry point to this introduce the classic algorithms in fascinating field.’ detail, while the later chapters describe P. P. Boyle, ISI Short Book Reviews clustering through divergences and show recent research for more advanced Contents: 1. Probability; 2. Normal audiences. random variables; 3. Geometric Brownian 2007 228 x 152 mm 222pp motion; 4. Interest rates and present value 978-0-521-85267-8 HB £45.00 analysis; 5. Pricing contracts via Arbitrage; 978-0-521-61793-2 PB £17.99 6. The Arbitrage Theorem; 7. The Black- Publication February 2007 Scholes formula; 8. Valuing by expected Computer Science 19

Contents: 1. Cryptography: an overview; New Edition Learning Theory 2. Quantum mechanics; 3. Quantum The Description Logic An Approximation Theory cryptography; 4. An introduction to error- Viewpoint correcting codes; 5. Quantum cryptography Handbook revisited; 6. Generalized Reed-Solomon Felipe Cucker Second edition City University of Hong Kong codes; 7. Quantum computing; Appendix. Edited by Franz Baader and Ding Xuan Zhou 2006 228 x 152 mm 304pp 14 tables Technische Universität, Dresden City University of Hong Kong 159 exercises Diego Calvanese 978-0-521-82740-9 HB £45.00 Freie Universität Bozen, Bolzano The goal of learning theory is to 978-0-521-53476-5 PB £19.99 approximate a function from sample Deborah L. McGuinness Stanford University, California values. This is a general overview of the theoretical foundations, and is the first Constraint Logic Daniele Nardi Università degli Studi di Roma ‘La Sapienza’, book to emphasize the approximation Programming using Italy theory viewpoint. This emphasis provides Eclipse and Peter F. Patel-Schneider a balanced approach, and will attract Krzysztof R. Apt AT&T Bell Laboratories, New Jersey mathematicians to the problems raised. Stichting Centrum voor Wiskunde en Informatica The Description Logic Handbook is the Contents: Preface; Foreword; 1. The (CWI), Amsterdam definitive reference and study guide for framework of learning; 2. Basic hypothesis and Mark Wallace researchers in the field of knowledge spaces; 3. Estimating the sample error; Monash University, Melbourne representation. As well as general 4. Polynomial decay approximation Aimed at one-semester courses and revision throughout the book, this new error; 5. Estimating covering numbers; 6. Logarithmic decay approximation programmers wishing to master practical edition presents a new chapter on error; 7. On the bias-variance problem; aspects of constraint programming; the ontology languages for the semantic 8. Regularization; 9. Support vector book teaches understanding and how web. to write constraint programs that solve machines for classification; 10. General 2007 247 x 174 mm 600pp regularized classifiers; Bibliography; Index. complex problems. It also systematically 44 line diagrams 14 tables introduces the Eclipse system through Cambridge Monographs on Applied and 978-0-521-87625-4 HB c. £80.00 Computational Mathematics, 24 carefully-chosen examples, guiding Publication June 2007 readers through the language and 2007 228 x 152 mm 180pp 20 line diagrams illustrating its power, versatility and Boolean Functions 978-0-521-86559-3 HB c. £35.00 utility. Publication March 2007 Volume 1: Theory and Algorithms Contents: Introduction; Part I. Logic Programming Paradigm: 1. Logic Yves Crama Université de Liège, Belgium programming and pure Prolog; A Distributed 2. A reconstruction of pure Prolog; and Peter L. Hammer Pi-Calculus Rutgers University, New Jersey Part II. Elements of Prolog: 3. Arithmetic Matthew Hennessy in Prolog; 4. Control and meta- Written by prominent experts in University of Sussex programming; 5. Manipulating structures; the field, this first comprehensive This book proposes a formal Part III. Programming with Passive presentation of the theoretical, mathematical language, a distributed Constraints: 6. Constraint programming: algorithmic and applied aspects of pi-calculus called Dpi, for describing, a primer; 7. Intermezzo: iteration in Boolean functions covers applications ECLiPSe; 8. Top-down search with at varying levels of abstraction, the in propositional logic, combinatorics, behaviour of mobile agents in a passive constraints; 9. The suspend graph and hypergraph theory, library; Part IV. Programming with Active distributed world. It is based on an complexity theory, integer programming, existing formal language, the pi-calculus, Constraints: 10. Constraint propagation combinatorial optimization, game in ECLiPSe; 11. Top-down search with to which it adds a network layer and a theory, reliability theory, electrical and active constraints; 12. Optimisation with primitive migration construct. computer engineering and artificial active constraints; 13. Constraints on reals; intelligence. Contents: 1. Introduction; 2. Inductive 14. Linear constraints over continuous principles; 3. The asynchronous Pi-Calculus; and integer variables; Solutions to Encyclopedia of Mathematics and its 4. Types for API; 5. Types and behaviour Applications selected exercises; Bibliographic remarks; in API; 6. A distributed asynchronous Pi- Bibliography; Index. 2007 234 x 156 mm 700pp Calculus; Behavioural Equivalences for ADPI; 978-0-521-84751-3 HB c. £70.00 2006 247 x 174 mm 348pp 6 tables Sources; List of figures; Notation. 49 exercises 81 figures 2007 247 x 174 mm 280pp 77 exercises 978-0-521-86628-6 HB £35.00 40 figures 978-0-521-87330-7 HB £35.00 Publication February 2007

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Curve and Surface A. Mathematical tables; B. Introduction to complex numbers; C. Linear constant SIAM Books Reconstruction coefficient differential equations; D. Partial Algorithms with Mathematical fraction expansion; E. Introduction to See more titles at: Analysis MATLAB; F. About the CD-ROM. www.cambridge.org/siam Tamal K. Dey 2007 246 x 189 mm 700pp 42 tables Ohio State University 385 exercises 315 figures After developing the basics of a 978-0-521-85455-9 HB c. £40.00 Textbook sampling theory and its connections Publication May 2007 to various geometric and topological MATLAB Guide Second edition properties, the author describes a suite Visibility Algorithms of algorithms that have been designed Desmond J. Higham for the reconstruction problem, including in the Plane University of Strathclyde algorithms for surface reconstruction Subir Ghosh and Nicholas J. Higham Tata Institute of Fundamental Research, Mumbai from dense samples, from samples that University of Manchester are not adequately dense and from noisy Computations of visible portions of This second edition remains a lively, samples. objects from a viewpoint involving concise introduction to the important Cambridge Monographs on Applied and thousands of objects is a time features of MATLAB 7 and the Symbolic Computational Mathematics, 23 consuming task even for high speed Math Toolbox. 2007 228 x 152 mm 228pp 70 exercises computers. To solve such visibility 978-0-521-86370-4 HB £40.00 problems, efficient algorithms have been ‘I use the Higham brothers’ MATLAB Publication February 2007 designed and this book presents some Guide as a reference for myself of these visibility algorithms in two and my students in all my applied dimensions. mathematics and computational Textbook science courses. The clarity and 2007 247 x 174 mm 350pp usefulness of their writing are major Continuous and 333 line diagrams 108 exercises 333 figures attractions for using their books. 978-0-521-87574-5 HB c. £50.00 Consequently, I look forward to the Discrete Time Signals Publication March 2007 and Systems very much improved second edition, as if that were possible for a much Mrinal Mandal admired book. In particular, the new University of Alberta Combinatorics and chapter on case studies looks quite and Amir Asif Probability interesting with its useful applications. York University, Toronto Edited by Graham Brightwell In addition, new treatments of new Introductory textbook on the London School of Economics and Political functions and features like nested fundamental concepts of continuous- Science functions, ODE as well as DDE time and discrete-time signals and Imre Leader functions will be of great interest.’ systems, self-contained for independent University of Cambridge Floyd B. Hanson, Ph.D., Professor of or combined teaching approaches. Alex Scott Mathematics, Department of Mathematics, University of Oxford Statistics, and Computer Science, University of Includes a CD-ROM containing MATLAB Illinois at Chicago code and various signals. Contains and Andrew Thomason University of Cambridge worked examples, homework problems Contents: Preface; 1. A brief tutorial; (solutions for instructors online) and In a highly distinguished career Béla 2. Basics; 3. Distinctive features of MATLAB; extensive illustrations. Suitable for Bollobás has made, and continues to 4. Arithmetic; 5. Matrices; 6. Operators undergraduates in electrical and make, many significant contributions and flow control; 7. M-files; 8. Graphics; computer engineering. to combinatorics. This volume provides 9. Linear algebra; 10. More on functions; 11. Numerical methods Part I; 12. Numerical Contents: 1. Introduction to a wealth of insight to the current state of the art in the wide range of topics methods Part II; 13. Input and output; signals; 2. Introduction to systems; 14. Troubleshooting; 15. Sparse matrices; Part I. Continuous Time Signals and on which his work has had a major influence. 16. Further M-files; 17. Handle graphics; Systems: 3. Time domain analysis of systems; 18. Other data types and multidimensional 2007 247 x 174 mm 670pp 4. Signal representation using Fourier series; arrays; 19. The symbolic math toolbox; 31 line diagrams 4 tables 6 exercises 5. Continuous-time Fourier transform; 20. Optimizing M-files; 21. Tricks and tips; 6. Laplace transform; 7. Continuous-time 978-0-521-87207-2 HB £60.00 Publication February 2007 22. Case studies; Appendices; Bibliography; filters; 8. Case studies for CT systems; Index. Part II. Discrete Time Signals and Systems: 9. Sampling and quantization; 10. Time 2005 228 x 152 mm 406pp 978-0-89871-578-1 HB £27.00 domain analysis; 11. Discrete-time Fourier series and transform; 12. Discrete Fourier transform; 13. Z-transform; 14. Digital filters; 15. FIR filter design; 16. IIR filter design; 17. Applications of digital signal processing; Bibliography; Appendices: SIAM Books 21

Textbook as the work progresses. …The student Handbook of Writing will be carried along by this book, and Matrix Analysis ever anxious to learn the next new for the Mathematical for Scientists and idea. I like Briggs’s book so well that I Sciences Engineers would certainly make considerable use Second edition of his text the next time that I teach Nicholas Higham Alan J. Laub problem-solving.’ University of California, Davis University of Manchester Steven G. Krantz, Washington University in St. Matrix Analysis for Scientists and Louis Nick Higham follows up his successful Engineers provides a blend of HWMS volume with this much- undergraduate- and graduate-level Contents: 1. Introduction; 2. A problem anticipated second edition. topics in matrix theory and linear solving framework; 3. Problem solving strategies; 4. How do you do it?; 5. Parts of ‘Any professional mathematician algebra. the whole; 6. A world of change; 7. At any (whether in the corporate world or in academe) who writes, and therefore ‘I found Laub’s book a delightful rate; 8. Difference equations; 9. Insight and puts math into print, should have read. It has become the sixth computing; 10. Take a chance; 11. Toward this handbook on the reference shelf valuable ‘Matrix Analysis’ book on my modeling; 12. Solutions; Bibliography; Index. …The information needed by writers, shelves. As well as being admirably 2004 228 x 152 mm 174pp editors, and their assistants to prepare suited for the course at which it is 978-0-89871-574-3 PB £24.00 clear, accurate, and understandable aimed, its conciseness and clarity mathematical material is contained in of presentation, together with the this book. Advanced undergraduate good index, make it easy to use for Textbook and graduate students should read reference. The book is recommended Numerical Computing it from cover to cover. They will then both as a course text and as a handy find themselves well prepared to guide to the subject.’ with MATLAB express their thoughts in writing Nicholas J. Higham, University of Manchester, Cleve B. Moler throughout their scientific careers …’ SIAM Review The MathWorks Barbara A. Simmons, Technical Communication Numerical Computing with MATLAB Contents: Preface; 1. Introduction and review; 2. Vector spaces; 3. Linear is a lively textbook for an introductory Contents: Preface; 1. General principles; transformations; 4. Introduction to course in numerical methods, MATLAB 2. Writer’s tools and recommended reading; the Moore-Penrose pseudoinverse; and technical computing. 3. Mathematical writing; 4. English usage; 5. Introduction to the singular value 5. When English is a foreign language; ‘Moler … tailors his book as a set of decomposition; 6. Linear equations; 6. Writing a paper; 7. Revising a draft; discrete and easy to read chapters 7. Projections, inner product spaces, and 8. Publishing a paper; 9. Writing and explaining and depicting the power norms; 8. Linear least squares problems; defending a thesis; 10. Writing a talk; of MATLAB. [The book] demonstrates 9. Eigenvalues and eigenvectors; 11. Giving a talk; 12. Preparing a poster; to the reader, student or professional 10. Canonical forms; 11. Linear differential 13. TeX and LaTeX; 14. Aids and resources users, what is possible in MATLAB for writing and research; Appendices; and difference equations; 12. Generalized in easy to swallow bites, yet eigenvalue problems; 13. Kronecker Glossary; Bibliography; Name index; Subject preserving the power and elegance index. products; Bibliography; Index. of the software. … Moler does an 1998 228 x 152 mm 318pp 2004 228 x 152 mm 170pp outstanding job covering the sweet- 978-0-89871-420-3 PB £26.00 978-0-89871-576-7 PB £22.00 spot between mathematics and computer science using MATLAB. He demonstrates throughout his book Learning LaTeX Ants, Bikes, and Clocks the power and the flexibility of the David F. Griffiths Problem Solving for software application, and how it can University of Dundee Undergraduates be used to make a scientist’s job easier.’ and Desmond J. Higham William Briggs University of Strathclyde University of Colorado, Denver Art Seddighi, MAA Reviews This short, well-written book covers the This book is a readable and enjoyable Contents: Preface; 1. Introduction material essential for learning LATEX text designed to strengthen the to MATLAB; 2. Linear equations; without any unnecessary detail. problem-solving skills of undergraduate 3. Interpolation; 4. Zeros and roots; students. 5. Least squares; 6. Quadrature; 7. Ordinary ‘This booklet is an excellent source differential equations; 8. Fourier analysis; for learning LATEX. The authors ‘Briggs’s book is in some sense an 9. Random numbers; 10. Eigenvalues and target the beginner and focus on the update of Polya’s classic, How to Solve singular values; 11. Partial differential most essential commands. The book It. Certainly Briggs pays due homage equations; Bibliography; Index. instructs mainly through the use of to the master, cites his four main examples. Despite the deceptively principles of problem solving, and 2004 228 x 152 mm 348pp 200 exercises 978-0-89871-560-6 PB £24.00 reader-friendly approach, the authors organizes his text in a manner that nonetheless quickly tackle difficult at least pays homage to Polya. But mathematical typesetting problems.’ Briggs goes much further. His writing Journal of Mathematical Psychology style is lively and attractive. He gets in the reader’s face and stays in his/her face from page one. He does this in a friendly way, one that gets the reader involved and keeps him/her involved

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Contents: Preface; 1. Preamble; 2. Basic Accuracy and Contents: Part I. Fundamental; Part II. LATEX; 3. Typesetting mathematics; Stability of Numerical QR Factorization and Least Squares; 4. Further essential LATEX; 5. More about Part III. Conditioning and Stability; LATEX ; Appendices; Bibliography; Index. Algorithms Part IV. Systems of Equations; Part V. 1997 228 x 152 mm 94pp Second edition Eigenvalues; Part VI. Iterative Methods. 978-0-89871-383-1 PB £15.00 Nicholas J. Higham 1997 228 x 152 mm 373pp University of Manchester 978-0-89871-361-9 PB £29.00 A Multigrid Tutorial This book provides a thorough, up- to-date treatment of the behaviour of William Briggs numerical algorithms in finite precision Textbook Van Emden Henson arithmetic. Mathematical Models and Steve McCormick in Biology This second edition of the popular first ‘This book is a monumental work on the analysis of rounding error and Leah Edelstein-Keshet preserves its introductory spirit while University of British Columbia roughly doubling the amount of material will serve as a new standard textbook on this subject, especially for linear covered. Mathematical Models in Biology is an computation.’ introductory book for readers interested ‘This is a great book for students. S. Hitotumatu, Mathematical Reviews in biological applications of mathematics I taught a one-semester course in Contents: Preface; 1. Principles of finite and modeling in biology. multilevel methods, and used this precision computation; 2. Floating point Contents: Part I. Discrete Process in book for half of the material. I’m a arithmetic; 3. Basics; 4. Summation; Biology: 1. The theory of linear difference very happy customer. The exposition 5. Polynomials; 6. Norms; 7. Perturbation equations applied to population growth; is clear and well motivated. There theory for linear systems; 8. Triangular 2. Nonlinear difference equations; is just the right amount of theory. 3. Applications of nonlinear difference The authors have gone out of their systems; 9. LU factorization and linear equations to population biology; way to make it easy for a student equations; 10. Cholesky factorization; Part II. Continuous Processes and Ordinary to implement the methods, see 11. Symmetric indefinite and skew- Differential Equations: 4. An introduction to their performance, and do their own symmetric systems; 12. Iterative refinement; continuous models; 5. Phase-plane methods experiments. The problems in the 13. Block LU factorization; 14. Matrix book are thoughtfully designed. My inversion; 15. Condition number estimation; and qualitative solutions; 6. Applications of students really enjoyed the book.’ 16. The Sylvester equation; 17. Stationary continuous models to population dynamics; 7. Models for molecular events; 8. Limit C. T. Kelley, North Carolina State University iterative methods; 18. Matrix powers; 19. QR factorization; 20. The least squares cycles, oscillations, and excitable systems; Contents: Preface; 1. Model problems; problem; 21. Underdetermined systems; Part III. Spatially Distributed Systems and 2. Basic iterative methods; 3. Elements 22. Vandermonde systems; 23. Fast matrix Partial Differential Equation Models: 9. An of multigrid; 4. Implementation; 5. Some multiplication; 24. The fast Fourier transform introduction to partial differential equations theory; 6. Nonlinear problems; 7. Selected and applications; 25. Nonlinear systems and diffusion in biological settings; applications; 8. Algebraic multigrid (AMG); and Newton’s method; 26. Automatic error 10. Partial differential equation models in 9. Multilevel adaptive methods; 10. Finite analysis; 27. Software issues in floating biology; 11. Models for development and elements; Bibliography; Index. point arithmetic; 28. A gallery of test pattern formation in biological systems; 2000 228 x 152 mm 205pp matrices; Appendices; Bibliography; Name Selected answers; Author index; Subject 978-0-89871-462-3 PB £26.00 index; Subject index. index. 2002 228 x 152 mm 710pp Classics in Applied Mathematics, 46 978-0-89871-521-7 HB £38.00 2005 228 x 152 mm 619pp Computational 978-0-89871-554-5 PB £27.99 Methods for Option Numerical Linear Pricing Algebra Image Processing and Yves Achdou Université de Paris VII (Denis Diderot Lloyd N. Trefethen Analysis University of Oxford and Olivier Pironneau Variational, PDE, Wavelet, and Université de Paris VI (Pierre et Marie Curie and David Bau, III Stochastic Methods Microsoft Corporation This book allows you to understand fully Tony Chan University of California, Los Angeles the modern tools of numerical analysis Numerical Linear Algebra is a concise, and Jianhong Shen in finance. insightful, and elegant introduction to the field of numerical linear algebra. University of Minnesota Contents: Preface; 1. Option pricing; Image processing is a critical component 2. Black-Scholes equation; mathematical ‘ The authors are to be congratulated in contemporary science and technology analysis; 3. Finite differences; 4. The on producing a fresh and lively and has many important applications. finite element method; 5. Adaptive introduction to a fundamental area of This book develops the mathematical mesh refinement; 6. American options; numerical analysis.’ foundation of modern image processing 7. Sensitivities and calibration; 8. Calibration G. W. Stewart, Mathematics of Computation of local volatility with European options; and low-level computer vision, bridging 9. Calibration of local volatility with contemporary mathematics with state- American options; Bibliography; Index. of-the-art methodologies in modern Frontiers in Applied Mathematics, 30 image processing, whilst organizing 2005 228 x 152 mm 315pp 978-0-89871-573-6 PB £45.00 SIAM Books / General and Recreational Maths 23 contemporary literature into a coherent the interplay between two ancient New in Paperback and logical structure. disciplines. A must-have book if you The Mathematics of Oz want to know about the music of the ‘A complete and very informative spheres or digital music and much in Mental Gymnastics from Beyond review of mathematical advances between. the Edge in image analysis in the past twenty Clifford A. Pickover years. Covers a wide range of Contents: Preface; Introduction; IBM T. J. Watson Research Center, New York Acknowledgements; 1. Waves and techniques in a very affordable style.’ Test your wits on a host of mathematical Jean-Michel Morel, CMLA ENS Cachan, France harmonics; 2. Fourier theory; 3. A mathematician’s guide to the orchestra; topics: geometry and mazes, sequences, 2005 228 x 152 mm 422pp 4. Consonance and dissonance; 5. Scales series, sets, arrangements, probability 978-0-89871-589-7 PB £43.00 and temperaments: the fivefold way; and misdirection, number theory, 6. More scales and temperaments; 7. Digital arithmetic, and even several problems music; 8. Synthesis; 9. Symmetry in music; dealing with the physical world. The Textbook Appendix A. Bessel functions; Appendix thought-provoking mysteries, puzzles, Partial Differential B. Equal tempered scales; Appendix C. and problems range from zebra numbers Equations Frequency and MIDI chart; Appendix D. and circular primes to Legion’s number Intervals; Appendix E. Just, equal and – a number so big that it makes a trillion Analytical and Numerical meantone scales compared; Appendix F. pale in comparison. Methods Music theory; Appendix G. Recordings; Mark S. Gockenbach Bibliography; Index. ‘… this book is an excellent one … Michigan Technical University 2006 247 x 174 mm 426pp anyone wishing to open it for the This introductory text is the first at 243 line diagrams 20 half-tones first time should be warned about undergraduate level to integrate modern 978-0-521-85387-3 HB £65.00 the danger of becoming addicted to and classical techniques for solving 978-0-521-61999-8 PB £25.99 reading it on a regular basis.’ PDEs. Yuri V. Rogovchenko, Zentralblatt MATH The Math Behind 2007 228 x 152 mm 368pp ‘I love this book and look forward to the Music 80 line diagrams using it as a text in the future. … It’s 978-0-521-70084-9 PB c. £9.99 the first truly modern approach that Leon Harkleroad Publication April 2007 I’ve seen in a PDE text.’ Mathematics has been used for Maeve L. McCarthy, MAA Online Book Review centuries to describe, analyze, and create The Early Mathematics Contents: Preface; 1. Classification of music. In this book, Leon Harkleroad differential equations; 2. Models in one explores the mathematics related to of Leonhard Euler dimension; 3. Essential linear algebra; aspects of music from its acoustical C. Edward Sandifer 4. Essential ordinary differential equations; bases to compositional techniques to Western Connecticut State University 5. Boundary value problems in Statics; music criticism. His clear, elementary Describing Euler’s early mathematical 6. Heat flow and diffusion; 7. Waves; exposition will be accessible to general works, this book is a portrait of the 8. Problems in multiple spatial dimensions; readers as well as to mathematicians world’s most exciting mathematics 9. More about Fourier series; 10. More and musicians of all levels. between 1725 and 1741, rich in about finite element methods; Appendix Outlooks technical detail. Woven with connections A; Appendix B; Appendix C; Bibliography; within Euler’s work and with the work of Index. 2006 228 x 152 mm 158pp 978-0-521-00935-5 PB £14.99 other mathematicians in other times and 2002 228 x 152 mm 636pp places, laced with historical context. 978-0-89871-518-7 HB £45.00 Spectrum Feature title 2007 253 x 177 mm 380pp The Art of 978-0-88385-559-1 HB £25.99 General and Mathematics Recreational Coffee Time in Memphis The Genius of Euler Bela Bollobás Reflections on his Life and Work Maths Trinity College, Cambridge Edited by William Dunham Can a Christian escape from a lion? Muhlenberg College, Pennsylvania How quickly can a rumour spread? This Celebrating the 300th birthday of Feature title collection of problems is designed to be Leonhard Euler (1707–1783), this sipped from, rather than consumed in Textbook book stands as a testimonial to a one sitting. Whether you are an expert, mathematician of unsurpassed insight, Music: A a beginner or an amateur, this book will industry, and ingenuity. The collected Mathematical Offering delight for a lifetime. articles, aimed at a mathematically Dave Benson Contents: Preface: Part I. The Problems: literate audience, address aspects University of Aberdeen Part II. The Hints: Part III. The Solutions. of Euler’s life and work, from the Benson provides a wealth of information 2006 228 x 152 mm 374pp for the teacher, the student, or the 85 line diagrams 978-0-521-87228-7 HB £45.00 interested amateur to understand, 978-0-521-69395-0 PB £19.99 at varying levels of technicality,

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biographical to the historical to the Mathematics of Games startling fact that in a geometric figure mathematical. and Gambling three straight lines, or sometimes circles, pass through one and the same point. Spectrum Second edition 2007 253 x 177 mm 250pp Edward Packel Contents: Part I. What’s It All About?: 978-0-88385-558-4 HB £25.99 Lake Forest College, Illinois 1. If three lines meet; 2. Flowers for Fourier; 3. Chebyshev and the Spirits; The new edition of a favourite, 4. Sheaves generate curves; Part II. The aha! A two volume introducing and developing some 99 points of intersection: Part III. The collection important and beautiful elementary Background: 1. The four classical points of aha! Gotcha aha! Insight mathematics needed to analyse various intersection; 2. Proof strategies; 3. Central Martin Gardner gambling and game activities. Most of projection; 4. Ceva’s Theorem; 5. Jacobi’s the standard casino games, some social Theorem; 6. Remarks on selected points of Previously published separately, the games and various other activities (state intersection; References. two books aha! Gotcha and aha! lotteries, horse racing) are treated in Spectrum Insight are here combined as a single ways that bring out their mathematical 2006 228 x 152 mm 168pp volume. The aha! books, as they are aspects. 157 line diagrams 157 figures referred to by fans of the author Martin 978-0-88385-553-9 HB £30.00 Gardner, contain 144 wonderful puzzles Review of first edition: from the reigning king of recreational ‘The whole book is written with great mathematics. In this combined volume, urbanity and clarity. It is hard to see Philosophical you will find puzzles ranging over how it could be done better or more Perspectives on readably. The main virtue lies in the geometry, logic, probability, statistics, Infinity number, time, combinatorics, and word close and clever interweaving of Graham Oppy play. theory and example.’ Mathematical Gazette Monash University, Victoria Contents: I. aha! Insight: Introduction; Exploring philosophical questions about New Mathematical Library, 28 1. Combinatorial aha!; 2. Geometry aha!; infinity, Graham Oppy examines how the 3. Number aha!; 4. Logic aha!; 5. Procedural 2006 228 x 152 mm 190pp infinite lurks everywhere, both in science aha!; 6. Word aha!; II. aha! Gotcha: 978-0-88385-646-8 HB £25.00 and in our ordinary thoughts about Preface; 1. Logic; 2. Number; 3. Geometry; 4 Probability; 5. Statistics; 6. Time. the world. He also analyzes the many puzzles and paradoxes that follow in the Spectrum Assessing train of the infinite. 2006 247 x 174 mm 198pp Mathematical 978-0-88385-551-5 HB £30.00 2006 228 x 152 mm 334pp 1 table Proficiency 978-0-521-86067-3 HB £45.00 Edited by Alan H. Schoenfeld The Edge of the University of California, Berkeley Universe This volume presents the results of discussions among mathematicians, Celebrating Ten Years of Math maths education researchers, teachers, Horizons test developers, and policymakers who Edited by Deanna Haunsperger gathered to work through critical issues Carleton College, Minnesota related to mathematics assessment. and Stephen Kennedy It highlights the kinds of information Carleton College, Minnesota that different assessments can offer, Math Horizons celebrates the people with examples of some of the best and ideas that are mathematics. mathematics assessments worldwide. Containing the editors’ selection from Mathematical Sciences Research Institute the first ten years of the magazine’s Publications existence, this volume features exquisite 2007 234 x 156 mm 300pp expositions of mathematics accessible at 978-0-521-87492-2 HB c. £45.00 the undergraduate or advanced school 978-0-521-69766-8 PB c. £17.99 level. Broad and appealing, the coverage also includes fiction with mathematical themes. 99 Points of Spectrum Intersection 2007 276 x 219 mm 316pp Examples-Pictures-Proofs 111 line diagrams 232 half-tones 21 tables Hans Walser 12 exercises ETH Zentrum, Switzerland 978-0-88385-555-3 HB £30.00 Translated by Peter Hilton Jean Pedersen The 99 points of intersection presented here were collected during a year- long search for surprising concurrence of lines. For each example we find compelling evidence for the sometimes Index 25

99 Points of Intersection...... 24 Castillo, Jesus M. F...... 1 Edge of the Universe, The...... 24 Central Simple Algebras and Galois Elementary Introduction to A Cohomology...... 4 Mathematical Finance, An...... 18 Chan, Tony...... 22 Elements of Automata Theory...... 2 Abrahams, Ian...... 9 Chung, T. J...... 10 Elliptic Cohomology...... 4 Accuracy and Stability of Numerical Classical Fields, The...... 7 Elliptic Functions...... 4 Algorithms...... 22 Classical Mechanics...... 9 Etheridge, Alison...... 17 Achdou, Yves...... 22 Combinatorics and Probability...... 20 Everitt, B. S...... 14 Additive Combinatorics...... 2 Computational Methods for Multiphase Adem, Alejandro...... 5 Flow...... 8 aha! A two volume collection...... 24 F Computational Methods for Option Algebra and Geometry...... 6 Farmer, D. W...... 6 Pricing...... 22 Algebraic Cycles and Motives...... 5 Fecko, Marián...... 12 Concepts and Practice of Mathematical Algorithmic Game Theory...... 3 Financial Calculus...... 17 Finance, The...... 16 Algorithms on Strings...... 18 Finite Elements...... 8 Conrey, J. B...... 6 Allman, Elizabeth S...... 11 First Course in Mathematical Analysis, A...1 Constraint Logic Programming using Ambrosetti, Antonio...... 1 Functional Integration...... 12 Eclipse...... 19 Angeleri Hügel, Lidia...... 7 Contact Geometry and Nonlinear Anthony, Martin...... 17 Differential Equations...... 9 G Ants, Bikes, and Clocks...... 21 Continuous and Discrete Time Signals Gardner, John F...... 10 Applebaum, David...... 17 and Systems...... 20 Gardner, Martin...... 24 Applied Asymptotics...... 15 Convex Optimization...... 15 Gardner, Richard J...... 4 Apt, Krzysztof R...... 19 Coordinate-Free Approach to Linear Gelman, Andrew...... 14 Armitage, J. V...... 4 Models, The...... 15 General Continuum Mechanics...... 10 Art of Mathematics, The...... 23 Cornuejols, Gerard...... 16 Genius of Euler, The...... 23 Asif, Amir...... 20 Course in Financial Calculus, A...... 17 Geometric Folding Algorithms...... 4 Assessing Mathematical Proficiency...... 24 Cox, D. R...... 13 Geometric Spanner Networks...... 5 Astrophysical Flows...... 12 Cox, David...... 13, 14 Geometric Tomography...... 4 Automorphic Forms and L-Functions for Crama, Yves...... 19 Geometry of Quantum States...... 12 the Group GL(n,R)...... 7 Cristianini, Nello...... 11 Ghosh, Subir...... 20 Crochemore, Maxime...... 18 Gille, Philippe...... 4 B Cucker, Felipe...... 19 Gockenbach, Mark S...... 23 Baader, Franz...... 19 Curtis, Robert T...... 6 Goldfeld, Dorian...... 7 Barnsley, Michael Fielding...... 3 Curve and Surface Reconstruction...... 20 Goswami, Debashish...... 2 Bastianelli, Fiorenzo...... 12 Gottlieb, David...... 8 Bau, III, David...... 22 D Gottlieb, Sigal...... 8 Baxter, Martin W...... 17 Gregory, R. Douglas...... 9 Data Analysis and Graphics Using R...... 14 Beardon, Alan F...... 6 Griffiths, David F...... 21 Data Analysis Using Regression and Beers, Kenneth J...... 9 Grinstein, Fernando F...... 10 Multilevel/Hierarchical Models...... 14 Bence, S. J...... 11 Groups St Andrews 2005...... 7 Davies, E. Brian...... 1 Bengtsson, Ingemar...... 12 Grundhöfer, T...... 7 Davies, Joan...... 2 Benson, Dave...... 23 Davison, A. C...... 15 Bertoin, Jean...... 1 Demaine, Erik D...... 4 H Biggs, Norman...... 17 Dependence Logic...... 3 Hähl, H...... 7 Binmore, Ken...... 2 Description Logic Handbook, The...... 19 Hahn, Matthew W...... 11 Bollobás, Bela...... 2, 23 DeWitt-Morette, Cecile...... 12 Hammer, Peter L...... 19 Boolean Functions...... 19 Dewynne, Jeff...... 18 Hancart, Christophe...... 18 Boyd, Stephen...... 15 Dey, Tamal K...... 20 Hand, D. J...... 13, 14 Braess, Dietrich...... 8 Dickson, David C. M...... 16 Handbook of Tilting Theory...... 7 Brannan, David Alexander...... 1 Differential Geometry and Lie Groups Handbook of Writing for the Braun, John...... 14 for Physicists...... 12 Mathematical Sciences...... 21 Brazzale, A. R...... 15 Distributed Pi-Calculus, A...... 19 Happel, Dieter...... 7 Briggs, William...... 21, 22 Dunham, William ...... 23 Harkleroad, Leon...... 23 Brightwell, Graham...... 20 Durrett, Rick...... 15 Hasselblatt, Boris...... 5 Butler, Ronald W...... 15 Dynamic Modeling and Control of Hassett, Brendan...... 3 Engineering Systems...... 10 Haunsperger, Deanna...... 24 C Dynamics, Ergodic Theory and Geometry...5 Hennessy, Matthew...... 19 C++ Design Patterns and Derivatives Henson, Van Emden...... 22 Pricing...... 16 E Herzberg, A. M...... 13, 14 Calculus...... 1 Hesthaven, Jan...... 8 Early Mathematics of Leonhard Euler, Calculus: Concepts and Methods...... 2 Higham, Desmond...... 17 The...... 23 Calvanese, Diego...... 19 Higham, Desmond J...... 20, 21 Eberlain, W. F...... 4 Cambridge Dictionary of Statistics, The....14 Higham, Nicholas...... 21 Eccles, Peter J...... 3 Campbell, C. M...... 7 Higham, Nicholas J...... 20, 22 Edelstein-Keshet, Leah...... 22 Cartier, Pierre...... 12 Hilbert’s Tenth Problem...... 4

Visit our website at www.cambridge.org 26 Index

Hill, Jennifer...... 14 Löwen, R...... 7 Outer Circles...... 3 Hilton, Peter...... 24 Lychagin, Valentin...... 9 Hobson, M. P...... 11, 12 P Howison, Sam...... 18 M Packel, Edward...... 24 Huneke, Craig...... 7 Parnell, William...... 9 Hyperbolic Geometry from a Local Maindonald, John...... 14 Partial Differential Equations...... 23 Viewpoint...... 4 Malchiodi, Andrea...... 1 Patel-Schneider , Peter F...... 19 Mandal, Mrinal...... 20 Path Integrals and Anomalies in Curved I Mangel, Marc...... 11 Space...... 12 Image Processing and Analysis...... 22 Marcus, Michael B...... 1 Pedersen, Jean...... 24 Implicit Large Eddy Simulation...... 10 Marden, Albert...... 3 Percolation...... 2 Insurance Risk and Ruin...... 16 Margolin, Len G...... 10 Peters, Chris...... 5 Integral Closure of Ideals, Rings, and Market-Valuation Methods in Life and Philosophical Perspectives on Infinity...... 24 Modules...... 7 Pension Insurance...... 16 Pickover, Clifford A...... 23 Introduction to Algebraic Geometry...... 3 Markov Processes, Gaussian Processes, Pinchover, Yehuda...... 10 Introduction to Clustering Large and and Local Times...... 1 Pironneau, Olivier...... 22 High-Dimensional Data...... 18 Math Behind the Music, The...... 23 Polynomials and Vanishing Cycles...... 5 Introduction to Computational Mathematical Methods for Physics and Prime Number Theorem, The...... 7 Genomics...... 11 Engineering...... 11 Principles of Statistical Inference...... 13 Introduction to Financial Option Mathematical Models in Biology...... 11, 22 Pringle, James E...... 12 Valuation, An...... 17 Mathematics for Economics and Finance 17 Prosperetti, Andrea...... 8 Introduction to Homogenization Mathematics of Financial Derivatives, Protecting Information...... 18 Methods in Continuum Mechanics...... 9 The...... 18 Introduction to Mathematical Mathematics of Games and Gambling....24 Q Reasoning, An...... 3 Mathematics of Oz, The...... 23 Quantum Field Theory...... 12 Introduction to Ordinary Differential MATLAB Guide...... 20 Quantum Groups...... 6 Equations, An...... 11 Matrix Analysis for Scientists and Quantum Stochastic Processes and Introduction to Parallel and Vector Engineers...... 21 Noncommutative Geometry...... 2 Scientific Computation, An...... 8 McCormick, Steve...... 22 Quick, M. R...... 7 Introduction to Partial Differential McGuinness, Deborah L...... 19 Equations, An...... 10 Methods in Banach Space Theory...... 1 Mezzadri, F...... 6 R J Michler, Gerhard O...... 6 Random Fragmentation and Miller, Haynes R...... 4 Coagulation Processes...... 1 Jameson, G. J. O...... 7 Miller, Robert N...... 10 Random Graph Dynamics...... 15 Johnson, William B...... 1 Moler, Cleve B...... 21 Ranks of Elliptic Curves and Random Joshi, Mark S...... 16 Møller Thomas...... 16 Matrix Theory...... 6 Montgomery, Hugh L...... 6 Ravenel, Douglas C...... 4 K Moroianu, Andrei...... 5 Reid, N...... 15 Keen, Linda...... 4 Multigrid Tutorial, A...... 22 Rennie, Andrew J. O...... 17 Kennedy, Stephen...... 24 Multiplicative Number Theory I...... 6 Rhodes, John A...... 11 King, Andrew...... 12 Music: A Mathematical Offering...... 23 Rider, William J...... 10 Koehn, Philipp...... 18 Riley, K. F...... 11, 12 Kogan, Jacob...... 18 N Riordan, Oliver...... 2 Krause, Henning...... 7 Robertson, E. F...... 7 Nagel, Jan...... 5 Kulakowski, Bohdan...... 10 Robinson, James C...... 11 Narasimhan, Giri...... 5 Kushner, Alexei...... 9 Rosen, Jay...... 1 Nardi, Daniele...... 19 Ross, Sheldon M...... 18 Networks...... 13 Roughgarden, Tim...... 3 L Nisan, Noam...... 3 Ruan, Yongbin...... 5 Lévy Processes and Stochastic Calculus...17 Nonlinear Analysis and Semilinear Rubinstein, Jacob...... 10 Lai, Ming-Jun...... 9 Elliptic Problems...... 1 Rubtsov, Vladimir...... 9 Lakic, Nikola...... 4 Numerical Computing with MATLAB...... 21 Large-Eddy Simulation for Acoustics...... 12 Numerical Linear Algebra...... 22 Laub, Alan J...... 21 Numerical Methods for Chemical S Leader, Imre...... 20 Engineering...... 9 Saddlepoint Approximations with Learning LaTeX...... 21 Numerical Modeling of Ocean Applications...... 15 Learning Theory...... 19 Circulation...... 10 Sagaut, Pierre...... 12 Lecroq, Thierry...... 18 Sakarovitch, J...... 2 Lectures on Kähler Geometry...... 5 O Salzmann, H...... 7 Lectures on the Ricci Flow...... 4 Sandifer, C. Edward...... 23 O’Rourke, Joseph...... 4 Lefton, Lew...... 8 Schoenfeld, Alan H...... 24 Oliveira, Suely...... 8 Leida, Johann...... 5 Schumaker, Larry L...... 9 Oppy, Graham...... 24 Linear Operators and their Spectra...... 1 Scott, Alex...... 20 Optimization Methods in Finance...... 16 Loepp, Susan...... 18 Orbifolds and Stringy Topology...... 5 Index 27

Selected Statistical Papers of Sir David Y Cox...... 13, 14 Young, Nicholas...... 5 Shearer, J. Lowen...... 10 Shen, Jianhong...... 22 Shlapentokh, Alexandra...... 4 Z Shonkwiler, Ronald W...... 8 Zhou, Ding Xuan...... 19 Sinha, Kalyan B...... 2 Zyczkowski, Karol...... 12 Smid, Michiel...... 5 Smith, G. C...... 7 Snaith, N. C...... 6 Spectral Methods for Time-Dependent Problems...... 8 Spivak, Michael...... 1 Spline Functions on Triangulations...... 9 Srednicki, Mark...... 12 Statistical Machine Translation...... 18 Steffensen, Mogens...... 16 Stewart, David E...... 8 Street, Ross...... 6 Student Solution Manual for Mathematical Methods for Physics and Engineering Third Edition...... 12 SuperFractals...... 3 Surveys in Geometry and Number Theory..5 Swanson, Irena...... 7 Symmetric Generation of Groups...... 6 Szamuely, Tamás...... 4

T Tao, Terence...... 2 Tardos, Eva...... 3 Theoretical Biologist’s Toolbox, The...... 11 Theory of Finite Simple Groups...... 6 Thomason, Andrew...... 20 Tibar Mihai...... 5 Tijms, Henk...... 13 Topping, Peter...... 4 Trefethen, Lloyd N...... 22 Tryggvason, Gretar...... 8 Tutuncu, Reha...... 16

U Understanding Probability...... 13

V Väänänen, Jouko...... 3 van Nieuwenhuizen, Peter...... 12 Vandenberghe, Lieven...... 15 Vaughan, Robert C...... 6 Vazirani, Vijay...... 3 Visibility Algorithms in the Plane...... 20 Vu, Van H...... 2

W Wagner, Claus...... 12 Wallace, Mark...... 19 Walser, Hans ...... 24 Whittle, Peter...... 13 Wichura, Michael J...... 15 Wilmott, Paul...... 18 Wootters, William K...... 18 Writing Scientific Software...... 8

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