Mathematics 2014 www.cambridge.org/mathematics2014
Welcome to the Mathematics books catalogue 2014. Here you will find new and forthcoming titles, representing the highest level of academic research from renowned authors. Our highlights this year include Quantum Information Theory by Mark M. Wilde, the three volume set A Course in Mathematical Analysis by D. J. H Garling and Stochastic Networks by Frank Kelly and Elena Yudovina. Our publications are available in a variety of formats, including ebooks and print, as well as online collections for institutional purchase via our publishing service University Publishing Online, which incorporates the Cambridge Books Online platform. We also publish a range of leading Mathematics journals, including our two new open access journal; Forum of Mathematics, Pi, and Forum of Mathematics, Sigma (see back inside page for more information). You can recommend our books, online collections and journals to your librarian by filling out the form at the back of this catalogue. To see more book listings, product information, preview extracts and reviews, and to find out which conferences we are attending, you can find us online at www.cambridge.org/mathematics2014. You can also keep up to date with the latest news and author views from our academic blog at www.cambridgeblog.org/category/sci-tech/ We hope that you enjoy reading about our latest publications. For queries, suggestions or proposals, you can find a list of useful contacts at the back of this catalogue.
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Contents
CuCker
Most works of art, whether illustrative, musical or literary, are created subject to a set of constraints. In many (but not all) cases, these constraints have a mathematical nature; for example, the geometric transformations governing the canons of J. S. Bach, the various projection systems used in classical painting, the catalogue of symmetries found
Manifold Mirrors
see page 1
The Crossing Paths of the Arts and Mathematics
in Islamic art or the rules concerning poetic structure. This fascinating
Manifold Mirrors
Cucker 9780521728728 Cover. C M Y K
book describes geometric frameworks underlying this constraint-based creation. The author provides both a development in geometry and a description of how these frameworks fit the creative process within several art practices. Furthermore, he discusses the perceptual effects derived from the presence of particular geometric characteristics. The book began life as a liberal arts course and is certainly suitable as a textbook. However, anyone interested in the power and ubiquity of mathematics will enjoy this revealing insight into the relationship between mathematics and the arts.
General and recreational mathematics 1 1 Number theory Algebra 2 Logic, categories and sets 2 Discrete mathematics, information theory and coding theory 3 Cryptography, cryptology and coding 4 Topology and geometry 4 Abstract analysis 5 6 Real and complex analysis Probability theory and stochastic processes 6 Applied probability and stochastic networks 7 Statistical theory and methods 7 Statistics for environmental sciences 7 Differential and integral equations, dynamical systems and control 8 Mathematical modelling and methods 8 Fluid dynamics and solid mechanics 8 9 Numerical analysis Computational science 9 Thermal-fluids engineering 9Collapse Chemical engineering 10 Engineering design, kinematics, and robotics 10 Communications and signal processing 10 11 Solid mechanics and materials Engineering mathematics and programming 11 Theoretical physics and mathematical physics 12 Statistical physics 12 SIAM books 13 Also of interest 13 Information on related journals Inside back cover
Felipe Cucker is Chair Professor of Mathematics at the City University of Hong Kong. His research covers a variety of subjects, including semi-algebraic geometry, computer algebra, complexity, emergence in decentralized systems (in particular, emergence of languages and flocking), learning theory and foundational aspects of numerical analysis. He serves on the editorial board of several journals and is Managing Editor of the journal Foundations of Computational Mathematics, published by the Society of the same name.
Cover illustration: ‘The School of Athens’ (fresco) by Raphael.
Cover design: sue Watson
Felipe CuCker
Mark M. Wilde
Quantum Information Theory
Textbooks
Stochastic Networks
see page 4
see page 7
Frank Kelly and Elena Yudovina
MAA-Collapse cover v12_Layout 1 11/16/12 3:39 PM Page 1
Six Sources of
see page 8
MAA
A Mathematician’s Perspective on How Things can Fall Apart in the Blink of An Eye
Six Sources of Collapse
By Charles R. Hadlock
Charles Hadlock has studied collapse processes from many points of view: from one career as a world traveling consultant working to head off catastrophic risks in the chemical, power, transportation, and mining industries, to another as the dean of a business school witnessing collapses of corporations, currencies, and markets. Add to this his broad mathematical and scientific background; collaborative work with political scientists, engineers, and others; and extensive experience with management challenges at the top levels of corporations and governments. He is an award winning author with a Carus Monograph on field theory and an acclaimed text on mathematical modeling in environmental management. All these themes are interwoven in a captivating personal style that will provide new insights about collapse to both mathematical and nonmathematical readers.
Collapse By Charles R. Hadlock
By Charles R. Hadlock
Six Sources of Collapse is a wonderful book, in numerous ways. Chance, group behavior, evolutionary processes, instability, nonlinearity, and networks are adroitly brought under the same roof, and applied to a stunning range of important examples, from the collapse of ancient civilizations to the collapse of financial markets. Lucid engaging primers in relevant areas of mathematics—including non-linear differential equations, network theory, and extreme value statistics—are presented with an unpretentious informality attainable only by those with the deepest command. In effect, Hadlock offers both the call to arms, and the armamentarium, for a unified theory of collapse. An important scientific and pedagogical contribution.
Six Sources of
Professor Joshua M. Epstein, Director of the Center for Advanced Modeling in the Social, Behavioral, and Health Sciences, Johns Hopkins University, and External Professor, Santa Fe Institute.
Charles Hadlock’s engaging book provides a mathematical framework for understanding all varieties of collapse—that of civilizations caused by environmental factors or destructive wars, companies caused by competition or poor management, and humans infected by contagious diseases. It inspires one to think about the reasons for collapse (Hadlock suggests six sources), and their mathematical basis, thereby providing guidance to the development of detailed, more specific models.
Professor Steven Brams, Professor of Politics, New York University
A Mathematician’s Perspective on How Things can Fall Apart in the Blink of An Eye
ISBN 978-0-88385-579-9
9 780883 855799
In recent decades, derivative markets for parceling and shifting risks have burgeoned, while computational advances have increased the pace of trading. As evidenced by recent events, the need has never been greater for skills, systems, and methodologies to manage analysis, this handbook serves as a unique and comprehensive reference for the technical, operational, regulatory, and political issues in collecting, measuring, and managing financial data. It will appeal to a wide range of audiences, from financial industry practitioners and regulators responsible for implementing risk management systems, to system integrators and
EDITED BY
Margarita S. Brose Mark D. Flood Dilip Krishna Bill Nichols
software firms helping to improve such systems.
Volume I examines the business and regulatory context that makes risk information so
important. A vast set of quantitative techniques, internal risk measurement and governance processes, and supervisory reporting rules have grown up over time, all with important implications for modeling and managing risk information. Without an understanding of the broader forces at work, it is all too easy to get lost in the details.
Volume II sets out a detailed structural and operational framework for managing a
financial risk data repository. As experience accumulates on managing modern risk systems, the knowledge base of practical lessons grows. Understanding these issues and leading practices may mean the difference between failed and successful implementations of risk systems.
Cover illustration: Origin reproduction: Speciale Collecties, Bibliotheek Wageningen UR.
Handbook of Financial Data and Risk Information I
Brose Et Al. 9781107012011. PPC Vol 1. C M Y K
risk information in financial markets. Authored by leading figures in risk management and
Brose, Flood, Krishna AND Nichols
Risk has always been central to finance, and managing risk depends critically on information.
Handbook of Financial Data and Risk Information Volumes I and II
see page 13
Handbook of Financial Data and Risk Information Edited by Margarita S. Brose, Mark D. Flood, Dilip Krishna, Bill Nichols Risk has always been central to finance, and managing risk depends critically on information. As evidenced by recent events, the need has never been greater for skills, systems and methodologies to manage risk information in financial markets. Authored by leading figures in risk management and analysis, this handbook serves as a unique and comprehensive reference for the technical, operational, regulatory and political issues in collecting, measuring and managing financial data. It will appeal to a wide range of audiences, from financial industry practitioners and regulators responsible for implementing risk management systems, to system integrators and software firms helping to improve such systems. Volume 1 examines the business and regulatory context that makes risk information so important. Volume 2 describes a structural and operational framework for managing a financial risk data repository.
• Meets the need for financial industry-wide data
• Brings together contributions from a diverse group of experts from the various fields required for effective risk information management
• Takes a holistic view of the subject across the spectrum of financial institutions
2 Hardback books | 978-1-107-69070-7 | January 2014 | £160.00
www.cambridge.org/broseset
General and recreational mathematics / Number theory
General and recreational mathematics Martin Gardner in the Twenty-First Century Edited by Michael Henle Oberlin College, Ohio
and Brian Hopkins Saint Peter’s College, New Jersey
Martin Gardner was an extraordinarily prolific writer whose work had a profound influence on the field of recreational mathematics. This book is a collection of articles, some by Gardner, others inspired by his work, that appeared in various MAA publications from 1999 to 2012. Essential reading for all recreational mathematicians. 2014 253 x 177 mm 274pp 211 b/w illus. 13 tables 978-0-88385-913-1 Paperback £27.00 Publication April 2014 For all formats available, see
www.cambridge.org/9780883859131
Why Is There Philosophy of Mathematics At All? Ian Hacking University of Toronto
Ian Hacking draws on cognitive sciences, evolutionary psychology, neurology, developmental psychology, and cognitive archaeology (tools and the mind) to explore how mathematics became possible, for a species like ours, on a planet like this. An innovative book for those studying logic, theory of knowledge, and philosophy of science. 2014 216 x 138 mm 212pp 978-1-107-05017-4 Hardback £50.00 978-1-107-65815-8 Paperback £17.99 Publication February 2014 For all formats available, see
www.cambridge.org/9781107050174
Who’s Bigger? Where Historical Figures Really Rank Steven Skiena State University of New York, Stony Brook
and Charles B. Ward Google, Inc., Mountain View, California
Is Hitler bigger than Napoleon? Washington bigger than Lincoln? Picasso bigger than Einstein? Quantitative analysts are rapidly finding homes in social and cultural domains, from finance to politics. What about history? In this fascinating book, Steve Skiena and Charles Ward bring quantitative analysis to bear
on ranking and comparing historical reputations. They evaluate each person by aggregating the traces of millions of opinions, just as Google ranks webpages. The book includes a technical discussion for readers interested in the details of the methods, but no mathematical or computational background is necessary to understand the rankings or conclusions. Along the way, the authors present the rankings of more than one thousand of history’s most significant people in science, politics, entertainment, and all areas of human endeavor. Anyone interested in history or biography can see where their favorite figures place in the grand scheme of things. ‘This is all fun: reputational faceoffs are great entertainment. And, shrewdly, Skiena and Ward have an app. More seriously, historians will put quantitative analysis to good use – and their model may help historiographers grapple with Wikipedia.’ New Scientist 2013 228 x 152 mm 391pp 101 b/w illus. 2 maps 176 tables 978-1-107-04137-0 Hardback £18.99 For all formats available, see
www.cambridge.org/9781107041370
Manifold Mirrors The Crossing Paths of the Arts and Mathematics Felipe Cucker
How Humans Learn to Think Mathematically Exploring the Three Worlds of Mathematics David Tall University of Warwick
How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall’s analysis offers a shared framework for understanding mathematical growth from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking. Learning in Doing: Social, Cognitive and Computational Perspectives
2013 228 x 152 mm 476pp 175 b/w illus. 4 tables 978-1-107-66854-6 Paperback £27.99 For all formats available, see
www.cambridge.org/9781107668546
Number theory Lattice Sums Then and Now J. M. Borwein University of Newcastle, New South Wales
M. L. Glasser Clarkson University, New York
R. C. McPhedran University of Sydney
City University of Hong Kong
J. G. Wan
Felipe Cucker presents a unifying mathematical structure to explore the relationship between mathematics and the arts, including architecture, music, poetry and more. The book emerged from the author’s undergraduate course, but requiring only basic high-school knowledge of mathematics it makes a fascinating read for anyone interested in the arts.
Singapore University of Technology and Design
‘Cucker [has] produced a pot au feu, an eclectic catch-all. There is much that can be learned from [his] presentation of the marriage of mathematics and art. I consider Manifold Mirrors Arcimboldesque in that it is an assemblage of many basic mathematical ideas and constructs, [adding] up to … well, to a unique work.’ Philip J. Davis, SIAM News
1
and I. J. Zucker King’s College London
For over a century lattice sums have been studied by mathematicians and scientists in diverse areas of science, in some cases unwittingly duplicating previous work. Here, at last, is a comprehensive overview of the substantial body of knowledge that now exists on lattice sums and their applications. Encyclopedia of Mathematics and its Applications, 150
2013 234 x 156 mm 388pp 13 b/w illus. 3 colour illus. 20 tables 978-1-107-03990-2 Hardback £75.00 For all formats available, see
www.cambridge.org/9781107039902
2013 247 x 174 mm 424pp 55 b/w illus. 100 colour illus. 30 music examples 978-0-521-42963-4 Hardback £55.00 978-0-521-72876-8 Paperback £19.99 For all formats available, see
www.cambridge.org/9780521429634
eBooks available at www.cambridge.org/ebookstore
2
Number theory / Algebra / Logic, categories and sets Torsors, Étale Homotopy and Applications to Rational Points
computational tools for the study of group cohomology and algebraic cycles.
(including Magma) and representation theory.
2014 228 x 152 mm 240pp 2 b/w illus. 978-1-107-01577-7 Hardback £55.00 Publication May 2014
London Mathematical Society Lecture Note Series, 407
Edited by Alexei N. Skorobogatov
For all formats available, see
Imperial College London
Torsors are ubiquitous in many areas of mathematics. This book presents a collection of expository lecture notes and cutting-edge research articles on the theory and applications of torsors and étale homotopy, written by leading experts. An essential volume for researchers and graduate students in algebraic and arithmetic geometry. London Mathematical Society Lecture Note Series, 405
www.cambridge.org/9781107015777
2013 228 x 152 mm 452pp 100 tables 20 exercises 978-0-521-13860-4 Paperback £50.00 For all formats available, see
A Guide to Groups, Rings, and Fields Fernando Q. Gouvêa Colby College, Maine
Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.
www.cambridge.org/9780521138604
Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups Tullio Ceccherini-Silberstein Università degli Studi del Sannio, Italy
Dolciani Mathematical Expositions, 48
Fabio Scarabotti
2013 228 x 152 mm 468pp 978-1-107-61612-7 Paperback £45.00
2013 228 x 152 mm 326pp 978-0-88385-355-9 Hardback £31.00
Università degli Studi di Roma ‘La Sapienza’, Italy
For all formats available, see
For all formats available, see
and Filippo Tolli
www.cambridge.org/9781107616127
The Riemann Hypothesis for Function Fields Frobenius Flow and Shift Operators Machiel van Frankenhuijsen
www.cambridge.org/9780883853559
A Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory Bangming Deng Beijing Normal University
Utah Valley University
Jie Du
A description of how non-commutative geometry could provide a means to attack the Riemann Hypothesis, one of the most important unsolved problems in mathematics. The book will be of interest to graduate students in analytic and algebraic number theory, and provides a strong foundation for further research in this area.
University of New South Wales, Sydney
London Mathematical Society Student Texts, 80
2012 228 x 152 mm 216pp 978-1-107-60860-3 Paperback £35.00
2014 228 x 152 mm 162pp 12 b/w illus. 1 table 978-1-107-04721-1 Hardback £45.00 978-1-107-68531-4 Paperback £22.99
For all formats available, see
For all formats available, see
www.cambridge.org/9781107047211
Algebra
and Qiang Fu Tongji University, China
The first book of its kind to present an algebraic approach to affine q-Schur algebras and affine quantum Schur– Weyl theory. London Mathematical Society Lecture Note Series, 401
www.cambridge.org/9781107608603
The Maximal Subgroups of the LowDimensional Finite Classical Groups John N. Bray Queen Mary, University of London
Group Cohomology and Algebraic Cycles
Derek F. Holt University of Warwick
and Colva M. Roney-Dougal
Burt Totaro
University of St Andrews, Scotland
University of Cambridge
This book classifies the maximal subgroups of finite classical groups in low dimension. It features previously unseen results and over 100 tables, making this an essential reference for researchers. It will appeal to graduate students as a textbook on finite simple groups, computational group theory
Group cohomology reveals a deep relation between algebra and topology, and its recent applications have provided important insights into the Hodge conjecture and algebraic geometry more broadly. This book presents a coherent suite of
Università degli Studi Roma Tre
A self-contained treatment of the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The book functions as both a useful reference for researchers, and a graduate textbook with plenty of examples and several exercises. London Mathematical Society Lecture Note Series, 410
2014 228 x 152 mm 173pp 5 b/w illus. 2 tables 18 exercises 978-1-107-62785-7 Paperback £45.00 For all formats available, see
www.cambridge.org/9781107627857
Logic, categories and sets Elements of Logical Reasoning Jan von Plato University of Helsinki
This book is an accessible and scientifically rigorous introduction to the principles of logical reasoning, covering many topics including the deductive machinery of metalogic, otherwise known as the nature and function of proofs. It will be valuable to students of logic, mathematics and computer science. 2014 247 x 174 mm 271pp 978-1-107-03659-8 Hardback £55.00 978-1-107-61077-4 Paperback £18.99 For all formats available, see
www.cambridge.org/9781107036598
Logic, categories and sets / Discrete mathematics, information theory and coding theory Basic Category Theory Tom Leinster University of Edinburgh
Assuming little mathematical background, this short introduction to category theory is ideal for beginning graduate students or advanced undergraduates learning category theory for the first time. Suitable for independent study or as a course book, it gives extensive explanations of the key concepts along with hundreds of examples and exercises. Cambridge Studies in Advanced Mathematics, 143
2014 228 x 152 mm 250pp 80 exercises 978-1-107-04424-1 Hardback c. £35.00 Publication July 2014 For all formats available, see
www.cambridge.org/9781107044241
Coherence in Three-Dimensional Category Theory Nick Gurski University of Sheffield
Higher category theory is an increasingly important discipline with applications in topology, geometry, logic and theoretical computer science. This comprehensive treatment covers essential material for any student of coherence, or for any researcher wishing to apply higher categories or coherence results in fields such as algebraic topology. Cambridge Tracts in Mathematics, 201
2013 228 x 152 mm 286pp 978-1-107-03489-1 Hardback £45.00 For all formats available, see
www.cambridge.org/9781107034891
Canonical Ramsey Theory on Polish Spaces Vladimir Kanovei Russian Academy of Sciences, Moscow
Effective Mathematics of the Uncountable Edited by Noam Greenberg Victoria University of Wellington
Denis Hirschfeldt University of Chicago
Joel David Hamkins College of Staten Island
and Jindřich Zapletal University of Florida
This book lays the foundations for an exciting new area of descriptive set theory. It develops a robust connection between two active areas of research: forcing and analytic equivalence relations. Ideal for graduate students and researchers in set theory, the book provides an ideal springboard for further research. Cambridge Tracts in Mathematics, 202
2013 228 x 152 mm 278pp 978-1-107-02685-8 Hardback £50.00 For all formats available, see
www.cambridge.org/9781107026858
intersection types. Numerous exercises are provided. Perspectives in Logic
2013 228 x 152 mm 854pp 52 b/w illus. 300 exercises 978-0-521-76614-2 Hardback £60.00 For all formats available, see
www.cambridge.org/9780521766142
and Russell Miller Queens College, City University of New York
This book provides an authoritative and multifaceted introduction to eight major approaches to computation on uncountable mathematical domains. The perspectives explored within reveal different aspects of effective uncountable mathematics, making it an ideal resource for graduate and advanced undergraduate students and researchers in this exciting new area of study.
Discrete mathematics, information theory and coding theory
2013 228 x 152 mm 204pp 978-1-107-01451-0 Hardback £55.00
Information Theory and Coding by Example
For all formats available, see
Mark Kelbert
Lecture Notes in Logic, 41
www.cambridge.org/9781107014510
Swansea University
and Yuri Suhov
Pure Inductive Logic Jeffrey Paris University of Manchester
and Alena Vencovská University of Manchester
This book establishes pure inductive logic as a contemporary branch of mathematical logic. Collecting together research from a wide range of sources within one unified context, it provides both a comprehensive account of the subject up to cutting-edge modern research, and an accessible reference for the philosopher or computer scientist. Perspectives in Logic
2014 228 x 152 mm 360pp 1 b/w illus. 978-1-107-04230-8 Hardback c. £60.00 Publication June 2014 For all formats available, see
www.cambridge.org/9781107042308
Marcin Sabok Polish Academy of Sciences
3
University of Cambridge
Introducing both the probabilistic and algebraic aspects of the subject, this book provides relevant background material, a wide range of examples and clear solutions to problems from real exam papers. It is a valuable teaching aid for students, or for researchers and engineers who want to grasp the basic principles. 2013 247 x 174 mm 526pp 30 b/w illus. 100 exercises 978-0-521-76935-8 Hardback £75.00 978-0-521-13988-5 Paperback £35.00 For all formats available, see
www.cambridge.org/9780521769358
Modern Computer Algebra Third edition Joachim von zur Gathen
Lambda Calculus with Types
Bonn-Aachen International Center for Information Technology
Henk Barendregt
Maplesoft, Canada
Radboud Universiteit Nijmegen
Wil Dekkers Radboud Universiteit Nijmegen
and Richard Statman Carnegie Mellon University, Pittsburgh, Pennsylvania
Typed lambda calculus is used in functional programming (Haskell, Clean) and proof assistants (Coq, Isabelle, HOL), which are used to design and verify IT products and mathematical proofs. This book reveals unexpected mathematical beauty in three classes of typing: simple types, recursive types and
and Jürgen Gerhard
Designed to accompany one- or two-semester courses for advanced undergraduate or graduate students, this textbook is widely regarded as the ‘bible of computer algebra’. Its comprehensiveness and reliability also makes it an essential reference for professionals. This updated edition includes an overview of recent
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Discrete mathematics, information theory and coding theory / Cryptography, cryptology and coding / Topology and geometry improvements in areas like primality testing. Review of previous edition: ‘Wow! What a beautifully produced book, and what a wealth of information.’ Don Knuth, Stanford University 2013 247 x 174 mm 808pp 55 b/w illus. 53 colour illus. 40 tables 560 exercises 978-1-107-03903-2 Hardback £75.00 For all formats available, see
www.cambridge.org/9781107039032
Analytic Combinatorics in Several Variables Robin Pemantle University of Pennsylvania
and Mark C. Wilson University of Auckland
This book is the result of nearly fifteen years work on developing analytic machinery to recover, as effectively as possible, asymptotics of the coefficients of a multivariate generating function. It is the first book to describe many of the results and techniques necessary to estimate coefficients of generating functions in more than one variable. Cambridge Studies in Advanced Mathematics, 140
2013 228 x 152 mm 392pp 53 b/w illus. 2 tables 64 exercises 978-1-107-03157-9 Hardback £45.00 For all formats available, see
www.cambridge.org/9781107031579
Surveys in Combinatorics 2013 Edited by Simon R. Blackburn Royal Holloway, University of London
Stefanie Gerke Royal Holloway, University of London
and Mark Wildon Royal Holloway, University of London
This book consists of nine survey papers by internationally renowned mathematicians. It will be of interest to researchers in combinatorics, from graduate students who want an overview of several areas to advanced researchers who want to have an indepth analysis of recent developments. London Mathematical Society Lecture Note Series, 409
2013 228 x 152 mm 384pp 30 b/w illus. 2 tables 978-1-107-65195-1 Paperback £45.00 For all formats available, see
www.cambridge.org/9781107651951
Cryptography, cryptology and coding A Cryptography Primer Secrets and Promises Philip N. Klein Brown University, Rhode Island
This accessible introduction for undergraduates explains the cryptographic protocols for privacy and the use of digital signatures for certifying the integrity of messages and programs. It provides a guide to the principles and elementary mathematics underlying modern cryptography, giving readers a look under the hood for security techniques and the reasons they are thought to be secure. 2014 228 x 152 mm 216pp 72 b/w illus. 978-1-107-60345-5 Paperback £19.99 Publication April 2014
Topology and geometry Manifolds, Tensors, and Forms An Introduction for Mathematicians and Physicists Paul Renteln California State University, San Bernardino
Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book’s clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. It features over 250 detailed exercises and discusses a variety of applications. 2013 246 x 189 mm 340pp 61 b/w illus. 271 exercises 978-1-107-04219-3 Hardback £45.00 For all formats available, see
www.cambridge.org/9781107042193
For all formats available, see
www.cambridge.org/9781107603455
Quantum Information Theory Mark M. Wilde Louisiana State University
Finally, here is a modern, self-contained text on quantum information theory suitable for graduate-level courses. Developing the subject ‘from the ground up’ it covers classical results as well as major advances of the past decade, such as superadditivity of private, coherent and Holevo information, and the superactivation of quantum capacity. 2013 247 x 174 mm 669pp 85 b/w illus. 260 exercises 978-1-107-03425-9 Hardback £45.00 For all formats available, see
www.cambridge.org/9781107034259
New Horizons in Geometry Tom Apostol California Institute of Technology
and Mamikon Mnatsakanian California Institute of Technology
A beautifully illustrated collection of striking and original results in geometry. Recommended for students and teachers of geometry and calculus. Dolciani Mathematical Expositions, 47
2013 253 x 177 mm 526pp 978-0-88385-354-2 Hardback £46.00 For all formats available, see
www.cambridge.org/9780883853542
Aperiodic Order Volume 1: A Mathematical Invitation Michael Baake Universität Bielefeld, Germany
Quantum Computing since Democritus Scott Aaronson Massachusetts Institute of Technology
Takes students and researchers on a tour through some of the deepest ideas of maths, computer science and physics. 2013 228 x 152 mm 398pp 25 b/w illus. 978-0-521-19956-8 Paperback £24.99 For all formats available, see
www.cambridge.org/9780521199568
and Uwe Grimm The Open University, Milton Keynes
This first volume in a series provides a graduate-level introduction to the many facets of aperiodic order. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. Numerous illustrations and examples are included. Encyclopedia of Mathematics and its Applications, 149
2013 234 x 156 mm 545pp 145 b/w illus. 18 colour illus. 10 tables 978-0-521-86991-1 Hardback £75.00 For all formats available, see
www.cambridge.org/9780521869911
Topology and geometry / Abstract analysis Convex Bodies: The Brunn–Minkowski Theory
Non-Hausdorff Topology and Domain Theory
Second edition Rolf Schneider
Selected Topics in Point-Set Topology Jean Goubault-Larrecq
Albert-Ludwigs-Universität Freiburg, Germany
Now in its second edition, this classic text has been expanded to reflect significant developments in Brunn–Minkowski theory over the past two decades. It gives a complete presentation from basics to the exposition of current research, with full proofs, pointers to other fields and a fully updated reference list. Review of the first edition: ‘Neither one of [the old classics] may be considered a substitute for the excellent detailed monograph written by Rolf Schneider. I recommend this book to everyone who appreciates the beauty of convexity theory or who uses the strength of geometric inequalities, and to any expert who needs a reliable reference book for his/her research.’ V. Milman, Bulletin of the American Mathematical Society
Ecole Normale Supérieure de Cachan
This rich mathematical text will help both graduate students and researchers master modern topology and domain theory, the key mathematics behind the semantics of computer languages. It deals with elementary and advanced concepts of topology and the theory is illuminated by many examples, figures and more than 450 exercises. New Mathematical Monographs, 22
2013 228 x 152 mm 497pp 46 b/w illus. 485 exercises 978-1-107-03413-6 Hardback £65.00 For all formats available, see
www.cambridge.org/9781107034136
J. Śniatycki
2013 234 x 156 mm 756pp 978-1-107-60101-7 Hardback £99.00
In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. The book covers applications in pure and applied mathematics and in mechanics, and it will interest researchers and graduate students in these areas.
www.cambridge.org/9781107601017
Moduli Spaces Edited by Leticia Brambila-Paz Centro de Investigación en Matemáticas A.C. (CIMAT), Mexico
Peter Newstead University of Liverpool
Richard P. W. Thomas Imperial College of Science, Technology and Medicine, London
University of Calgary
New Mathematical Monographs, 23
2013 228 x 152 mm 247pp 978-1-107-02271-3 Hardback £55.00 For all formats available, see
www.cambridge.org/9781107022713
and Oscar Garcia-Prada Consejo Superior de Investigaciones Cientificas, Madrid
Moduli theory represents a significant topic of modern mathematical research with strong connections to many areas of mathematics (including geometry, topology and number theory) and other disciplines such as theoretical physics. This book presents articles on both fundamental material and advanced research topics, accessible at the graduate level and above.
Abstract analysis A Primer on the Dirichlet Space Omar El-Fallah
2014 228 x 152 mm 220pp 5 b/w illus. 110 exercises 978-1-107-04752-5 Hardback £45.00 For all formats available, see
www.cambridge.org/9781107047525
A Guide to Functional Analysis Steven G. Krantz Washington University, St Louis
Functional analysis occupies a central role in modern mathematics. This book provides a quick but precise and careful introduction to the subject. It covers all the basics that a beginning graduate student needs to know, as well as more sophisticated topics such as spectral theory, convexity and fixed-point theorems. 2013 228 x 152 mm 150pp 6 b/w illus. 1 table 978-0-88385-357-3 Hardback £33.00 For all formats available, see
www.cambridge.org/9780883853573
The Theory of H(b) Spaces Volume 1 Emmanuel Fricain Université de Lille 1
and Javad Mashreghi Université Laval, Québec
This comprehensive treatment is accessible to graduate students as well as researchers. It covers all of the preliminary subjects needed to fully understand and appreciate this beautiful subject, such as Hardy spaces, Fourier analysis and Carleson measures. Hundreds of exercises are also included, making the book suitable for graduate courses. New Mathematical Monographs, 20
2014 228 x 152 mm 750pp 20 b/w illus. 200 exercises 978-1-107-02777-0 Hardback £99.00 Publication June 2014 For all formats available, see
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Karim Kellay Université de Bordeaux
Javad Mashreghi
2014 228 x 152 mm 280pp 978-1-107-63638-5 Paperback £50.00 Publication February 2014
and Thomas Ransford
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Cambridge Tracts in Mathematics, 203
Université Mohammed V-Agdal, Rabat, Morocco
London Mathematical Society Lecture Note Series, 411
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book is also suitable for self-study by graduate students in mathematics.
Dolciani Mathematical Expositions, 49
Differential Geometry of Singular Spaces and Reduction of Symmetry
Encyclopedia of Mathematics and its Applications, 151
For all formats available, see
5
Université Laval, Québec Université Laval, Québec
This systematic account of the Dirichlet space provides an introduction that will be valuable to researchers in function theory, assembling results previously only found in scattered research articles. Containing more than 100 exercises, the
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6
Real and complex analysis / Probability theory and stochastic processes
Real and complex analysis
www.cambridge.org/9781107032026
Probability theory and stochastic processes
Quasiconformal Surgery in Holomorphic Dynamics
A Basic Course in Measure and Probability
Bodil Branner
Theory for Applications Ross Leadbetter
Numerous exercises, examples and applications are included. 2013 247 x 174 mm 314pp 21 b/w illus. 340 exercises 978-1-107-03202-6 Hardback £75.00 978-1-107-61418-5 Paperback £30.00 For all formats available, see
A Course in Mathematical Analysis Volume 3: Complex Analysis, Measure and Integration D. J. H. Garling University of Cambridge
This is the third of three volumes that provide a full and detailed account of all those elements of real and complex analysis an undergraduate mathematics student can expect to encounter in the first two or three years of study. Numerous exercises, examples and applications are included. 2014 247 x 174 mm 320pp 20 b/w illus. 270 exercises 978-1-107-03204-0 Hardback £75.00 978-1-107-66330-5 Paperback £30.00 Publication March 2014 For all formats available, see
www.cambridge.org/9781107032040
A Course in Mathematical Analysis Volume 2: Metric and Topological Spaces, Functions of a Vector Variable D. J. H. Garling University of Cambridge
This is the second of three volumes that provide a full and detailed account of all those elements of real and complex analysis the undergraduate mathematics student can expect to encounter in their first two or three years of study. Numerous exercises, examples and applications are included. 2014 247 x 174 mm 330pp 15 b/w illus. 280 exercises 978-1-107-03203-3 Hardback £75.00 978-1-107-67532-2 Paperback £30.00 For all formats available, see
www.cambridge.org/9781107032033
A Course in Mathematical Analysis Volume 1: Foundations and Elementary Real Analysis D. J. H. Garling
Technical University of Denmark, Lyngby
and Núria Fagella Universitat de Barcelona
This comprehensive introduction is ideal for graduate students and researchers wishing to learn about quasiconformal surgery in holomorphic dynamics through a self-contained text. A wide variety of applications are included, and geometrical ideas are emphasised with plenty of illustrations that are seldom found in the literature at this level. Cambridge Studies in Advanced Mathematics, 141
2013 228 x 152 mm 432pp 30 b/w illus. 105 colour illus. 85 exercises 978-1-107-04291-9 Hardback £65.00 For all formats available, see
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University of North Carolina, Chapel Hill
Stamatis Cambanis University of North Carolina, Chapel Hill
and Vladas Pipiras University of North Carolina, Chapel Hill
This concise introduction covers all of the measure theory and probability most useful for statisticians. Originating from the authors’ own graduate course, it is perfect for a two-term course or for selfstudy. It is especially useful to graduate students in related fields who want to shore up their mathematical foundation. 2014 228 x 152 mm 374pp 15 b/w illus. 300 exercises 978-1-107-02040-5 Hardback £75.00 978-1-107-65252-1 Paperback £29.99 Publication February 2014 For all formats available, see
Paradoxes and Sophisms in Calculus Sergiy Klymchuk Auckland University of Technology
and Susan G. Staples Texas Christian University
A collection of paradoxes (counterintuitive statements that look invalid, but are in fact true) and sophisms (intentionally flawed arguments that appear formally correct) in calculus. Such examples are designed to enhance students’ understanding of the underlying concepts. Recommended for students and teachers of calculus at high school and university. Classroom Resource Materials
2013 228 x 152 mm 110pp 43 b/w illus. 978-0-88385-781-6 Paperback £26.00 For all formats available, see
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www.cambridge.org/9781107020405
Lévy Processes and Infinitely Divisible Distributions Second edition Ken-iti Sato Nagoya University, Japan
This successful text provides a comprehensive basic knowledge of Lévy processes and serves as an introduction to stochastic processes in general. Now in paperback, this corrected edition contains a brand new supplement discussing relevant developments in the area since the book’s initial publication. Cambridge Studies in Advanced Mathematics, 68
2013 228 x 152 mm 534pp 160 exercises 978-1-107-65649-9 Paperback £50.00 For all formats available, see
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University of Cambridge
This is the first of three volumes that provide a full and detailed account of all those elements of real and complex analysis the undergraduate mathematics student can expect to encounter in their first two or three years of study.
Uniform Central Limit Theorems Second edition R. M. Dudley Massachusetts Institute of Technology
This second edition of the classic work on empirical processes has been considerably expanded and revised. It now includes complete proofs of all
Probability theory and stochastic processes / Applied probability and stochastic networks / Statistical theory and methods / Statistics for environmental sciences results, including several new theorems not included in the first edition, such as Talagrand’s generic chaining approach to boundedness of Gaussian processes and Giné and Zinn’s characterization of uniform Donsker classes. Cambridge Studies in Advanced Mathematics, 142
2014 228 x 152 mm 488pp 978-0-521-73841-5 Paperback £29.99 Publication March 2014
to understand this important area of application. Institute of Mathematical Statistics Textbooks, 2
2014 228 x 152 mm 232pp 60 b/w illus. 80 exercises 978-1-107-03577-5 Hardback £50.00 978-1-107-69170-4 Paperback £21.99 Publication February 2014 For all formats available, see
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For all formats available, see
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Bayesian Filtering and Smoothing
Applied probability and stochastic networks
Simo Särkkä
Brownian Models of Performance and Control J. Michael Harrison Stanford University, California
This book from one of the field’s leaders covers Brownian motion and stochastic calculus at the graduate level, and illustrates the use of that theory in various application domains, emphasizing business and economics. Aimed at non-mathematicians who build and analyze stochastic models, it contains many concrete formulas and worked examples. 2013 228 x 152 mm 216pp 20 b/w illus. 2 tables 50 exercises 978-1-107-01839-6 Hardback £38.00
Aalto University, Finland
This compact, informal introduction for graduate students and advanced undergraduates draws together modern state estimation methods including non-linear Kalman filters, particle filters, and the related smoothing algorithms. Its practical and algorithmic approach assumes only modest mathematical prerequisites. End-of-chapter exercises include computational assignments, and Matlab code is available for download. Institute of Mathematical Statistics Textbooks, 3
2013 228 x 152 mm 254pp 55 b/w illus. 60 exercises 978-1-107-03065-7 Hardback £60.00 978-1-107-61928-9 Paperback £21.99 For all formats available, see
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Statistical theory and methods
For all formats available, see
www.cambridge.org/9781107018396
Stochastic Networks Frank Kelly University of Cambridge
and Elena Yudovina University of Michigan, Ann Arbor
Communication networks underpin our modern world, and provide fascinating and challenging examples of large-scale stochastic systems. This compact introduction to some of the stochastic models found useful in the study of communication networks is ideal for graduate students wishing
Analysis of Multivariate and HighDimensional Data Inge Koch University of Adelaide
‘Big data’ poses challenges that require both classical multivariate methods and modern machine-learning techniques. This coherent treatment integrates theory with data analysis, visualisation and interpretation of the analysis. Problems, data sets and Matlab code complete the package. Suitable for master’s/graduate students in statistics and working scientists in data-rich disciplines.
7
The Skew-Normal and Related Families Adelchi Azzalini Università degli Studi di Padova, Italy
In collaboration with Antonella Capitanio Università di Bologna
Blending theory and practice, this will be the standard resource for statisticians and applied researchers. Assuming only basic knowledge of (non-measuretheoretic) probability and statistical inference, it is accessible to the wide range of researchers who use statistical modelling techniques. The author’s complementary R package helps readers put theory into practice. Institute of Mathematical Statistics Monographs, 3
2013 228 x 152 mm 270pp 100 b/w illus. 60 exercises 978-1-107-02927-9 Hardback £50.00 For all formats available, see
www.cambridge.org/9781107029279
Statistics for environmental sciences Measuring and Reasoning Numerical Inference in the Sciences Fred L. Bookstein University of Washington and Universität Wien, Austria
This exploration of empirical inference in science ranges over topics as diverse as the mass extinction of the dinosaurs, Peirce’s concept of abduction, multiple regression, and the analysis of patterns in astrophysics. At its heart is a formal description of the process by which scientific measurements support convincing explanations of the world around us. 2014 234 x 156 mm 544pp 180 b/w illus. 978-1-107-02415-1 Hardback £50.00 Publication March 2014 For all formats available, see
www.cambridge.org/9781107024151
Cambridge Series in Statistical and Probabilistic Mathematics, 32
2013 253 x 177 mm 400pp 5 b/w illus. 98 colour illus. 76 tables 138 exercises 978-0-521-88793-9 Hardback £55.00 For all formats available, see
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8
Differential and integral equations, dynamical systems and control / Mathematical modelling and methods / Fluid dynamics and solid mechanics
Differential and integral equations, dynamical systems and control Numerical Solution of Elliptic and Parabolic Partial Differential Equations John A. Trangenstein Duke University, North Carolina
For mathematicians and engineers interested in applying numerical methods to physical problems this book is ideal. It gives complete descriptions of methods in theory and implementation to give readers the confidence to write their own application programs and develop new theory. Accompanying software includes interactive graphics and graphical user interfaces. 2013 246 x 189 mm 661pp 55 b/w illus. 13 colour illus. 300 exercises 978-0-521-87726-8 Mixed media product £50.00 For all formats available, see
www.cambridge.org/9780521877268
Applications to Regular and Bang-Bang Control Second-Order Necessary and Sufficient Optimality Conditions in Calculus of Variations and Optimal Control Nikolai P. Osmolovskii Technical University of Radom
and Helmut Maurer Westfälische Wilhelms-Universität Münster, Germany
This book develops theory and applications for second-order optimality conditions in the calculus of variations and optimal control. Distinctive features include coverage of no-gap conditions and broken extremals; full solutions to various numerical examples are presented. A useful resource for researchers and engineers in many branches of the physical sciences. Advances in Design and Control, 24
2013 247 x 174 mm 390pp 978-1-61197-235-1 Paperback £71.00
An Introduction to Computational Stochastic PDEs Gabriel J. Lord Heriot-Watt University, Edinburgh
Catherine E. Powell University of Manchester
and Tony Shardlow University of Bath
This comprehensive introduction to stochastic partial differential equations incorporates the effects of randomness into real-world models, offering graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. MATLAB codes are included, so that readers can perform computations themselves and solve the test problems discussed. Cambridge Texts in Applied Mathematics, 50
2014 247 x 174 mm 520pp 107 b/w illus. 16 colour illus. 222 exercises 978-0-521-89990-1 Hardback £80.00 978-0-521-72852-2 Paperback £37.50 Publication May 2014 For all formats available, see
Computational Mathematical Modeling: An Integrated Approach Across Scales Daniela Calvetti Case Western Reserve University, Ohio
and Erkki Somersalo Case Western Reserve University, Ohio
A textbook that guides the reader through the mathematical modeling of real-world phenomena at both macroscopic and microscopic scales. The book, which emphasises computational skills, includes examples, self-study problems and MATLAB code to aid learning. Suitable for students in mathematics and the physical sciences at advanced undergraduate level and above. Monographs on Mathematical Modeling and Computation, 17
2013 247 x 174 mm 234pp 978-1-61197-247-4 Paperback £50.00 For all formats available, see
www.cambridge.org/9781611972474
www.cambridge.org/9780521899901
Six Sources of Collapse
Mathematical modelling and methods Complexity Science The Warwick Master’s Course Edited by Robin Ball University of Warwick
Vassili Kolokoltsov University of Warwick
and Robert S. MacKay University of Warwick
Many issues of global importance reveal an urgent need for a new generation trained to understand the mathematics of complex systems. This book presents the essential mathematical aspects of complexity science, suitable for advanced undergraduate/masters-level students and researchers in complexity science and related areas. Includes plentiful examples and real-world applications. London Mathematical Society Lecture Note Series, 408
2013 228 x 152 mm 454pp 40 b/w illus. 978-1-107-64056-6 Paperback £45.00 For all formats available, see
www.cambridge.org/9781107640566
Charles R. Hadlock Bentley College, Massachusetts
An interdisciplinary investigation of how and why things collapse, ranging from governments to species, markets and structures. The author explores the mathematics behind six fundamental processes that lead to such collapses. The exposition assumes minimal mathematical background and should appeal to readers from a wide range of fields. Spectrum
2013 253 x 177 mm 220pp 73 b/w illus. 4 colour illus. 6 tables 978-0-88385-579-9 Hardback £33.00 For all formats available, see
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Fluid dynamics and solid mechanics Turbulence in Rotating, Stratified and Electrically Conducting Fluids P. A. Davidson
For all formats available, see
University of Cambridge
www.cambridge.org/9781611972351
Discussing turbulent flow in a wide range of geophysical and astrophysical settings, this book should appeal to engineers, geophysicists, astrophysicists
Fluid dynamics and solid mechanics / Numerical analysis / Computational science / Thermal-fluids engineering and applied mathematicians who are interested in naturally occurring turbulent flows. It starts from first principles so it is suitable for graduate students as well as professional researchers.
practical examples to help students get started. 2014 247 x 174 mm 560pp 90 b/w illus. 25 tables 70 exercises 978-1-107-02108-2 Hardback £65.00 Publication April 2014
2013 247 x 174 mm 695pp 220 b/w illus. 65 colour illus. 15 tables 978-1-107-02686-5 Hardback £95.00
For all formats available, see
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Acta Numerica 2013
www.cambridge.org/9781107026865
Flow, Deformation and Fracture Lectures on Fluid Mechanics and Mechanics of Deformable Solids for Mathematicians and Physicists G. I. Barenblatt University of California, Berkeley
An outstanding resource for every teacher and student of the mechanics of continuous media. The author’s unique approach, using the concept of intermediate asymptotics, has been tried and tested over a period of 40 years teaching the subject in Russia, Europe and America. ‘Now those not fortunate enough to have been able to attend the course have the opportunity to see what has made it so special. The present book is a masterful exposition of fluid and solid mechanics, informed by the ideas of scaling and intermediate asymptotics, a methodology and point of view of which Professor Barenblatt is one of the originators ... This is indeed a remarkable book.’ Alexandre J. Chorin, from the Foreword Cambridge Texts in Applied Mathematics, 49
2014 247 x 174 mm 290pp 110 b/w illus. 978-0-521-88752-6 Hardback £65.00 978-0-521-71538-6 Paperback £30.00 Publication April 2014 For all formats available, see
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Numerical analysis
www.cambridge.org/9781107021082
Volume 22 Edited by Arieh Iserles University of Cambridge
Acta Numerica is an annual publication containing invited survey papers by leading researchers in numerical mathematics and scientific computing. The papers present overviews of recent developments in their area and provide state-of-the-art techniques and analysis.
G. Miller University of California, Davis
Striking a balance between theory and practice, this graduate-level text is perfect for students in the applied sciences. It provides full coverage of classical methods with a clear explanation of how they work, together with sample programs and many
‘A very neat treatment of matrix calculus. There is no doubt that the new operators and matrices presented in the book will see their applications in many areas of econometrics.’ Yong Bao, Purdue University 2013 228 x 152 mm 275pp 4 tables 978-1-107-03200-2 Hardback £65.00 For all formats available, see
www.cambridge.org/9781107032002
Recipes for Continuation Harry Dankowicz University of Illinois, Urbana-Champaign
and Frank Schilder
2013 247 x 174 mm 580pp 978-1-107-04386-2 Hardback £93.00
Technical University of Denmark, Lyngby
www.cambridge.org/9781107043862
Computational science High Accuracy Computing Methods Fluid Flows and Wave Phenomena Tapan Sengupta Indian Institute of Technology, Kanpur
This book systematically develops scientific computing from classical approaches – describing equations of motion; classifying, discretizing and solving parabolic, elliptic, hyperbolic PDEs; curvilinear co-ordinates and structured meshing techniques; classical FVM and FEM and solving Navier–Stokes equations by FDM – to its present state in high accuracy computing. 2013 242 x 184 mm 586pp 336 b/w illus. 9 tables 978-1-107-02363-5 Hardback £90.00 For all formats available, see
Numerical Analysis for Engineers and Scientists
matrix derivatives and a particular brand of mathematics behind matrix calculus, including special matrices whose elements are all zero or one.
Acta Numerica, 22
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Generalized Vectorization, Cross-Products, and Matrix Calculus
9
A comprehensive introduction to the mathematical methodology of parameter continuation which places equal emphasis on theoretical rigor, algorithm development and software engineering. It contains fully-worked examples (including MATLAB implementation) and many exercises. Intended for students and teachers of dynamical systems and engineering at advanced undergraduate level and above. Computational Science and Engineering
2013 247 x 174 mm 600pp 978-1-61197-256-6 Paperback £70.00 For all formats available, see
www.cambridge.org/9781611972566
Thermal-fluids engineering Buoyancy Effects on Natural Ventilation Torwong Chenvidyakarn Shinawatra International University, Bangkok
This book describes the fundamental effects of buoyancy, a key force in driving air and transporting heat and pollutants in the interior of a building. For the design and operation of modern sustainable, energy-efficient buildings, it contains no demanding mathematics and covers both qualitative and quantitative aspects of ventilation flow analysis.
Darrell A. Turkington
2013 234 x 156 mm 273pp 98 b/w illus. 978-1-107-01530-2 Hardback £65.00
University of Western Australia, Perth
For all formats available, see
Matrix calculus is an efficient procedure for obtaining many derivatives at once, used in statistics and econometrics. This book studies different concepts of
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Thermal-fluids engineering / Chemical engineering / Engineering design, kinematics, and robotics / Communications and signal processing Cavitation and Bubble Dynamics Christopher Earls Brennen California Institute of Technology
Cavitation and Bubble Dynamics deals with the fundamental physical processes of bubble dynamics and the phenomenon of cavitation. It is ideal for graduate students and research engineers and scientists, and a basic knowledge of fluid flow and heat transfer is assumed. The analytical methods presented are developed from basic principles. 2013 253 x 177 mm 263pp 192 b/w illus. 2 tables 978-1-107-64476-2 Paperback £45.00 For all formats available, see
www.cambridge.org/9781107644762
The Finite Element Method with Heat Transfer and Fluid Mechanics Applications Erian A. Baskharone Texas A & M University
This book is intended for advanced undergraduate and graduate students. The first four chapters are devoted to the introduction of the finite element concept. The focus of the book then covers two essential areas – heat transfer and fluid mechanics: topics with different finite element formulations. 2013 253 x 177 mm 387pp 211 b/w illus. 5 tables 978-1-107-03981-0 Hardback £75.00 For all formats available, see
www.cambridge.org/9781107039810
Chemical engineering Mathematical Modeling in Chemical Engineering Anders Rasmuson Chalmers University of Technology, Gothenberg
Bengt Andersson Chalmers University of Technology, Gothenberg
Louise Olsson Chalmers University of Technology, Gothenberg
and Ronnie Andersson Chalmers University of Technology, Gothenberg
A solid introduction, equipping the reader with the insight and skill required to successfully formulate, construct, simplify, evaluate and use mathematical models in chemical engineering. The accompanying problems, tutorials, and projects provide the reader with
hands-on experience, and include model formulation at different levels, analysis, parameter estimation and numerical solution. 2014 247 x 174 mm 193pp 99 b/w illus. 40 tables 978-1-107-04969-7 Hardback £40.00 Publication April 2014
Engineering design, kinematics, and robotics
For all formats available, see
www.cambridge.org/9781107049697
Physics of Gas-Liquid Flows Thomas J. Hanratty University of Illinois, Urbana-Champaign
Presenting a unified theory for understanding and predicting multiphase flows, based on the ways large scale behaviour relates to small scale interactions, this text includes design equations, providing tools for improving the safety and efficiency of multiphase flow systems. Ideal for students, researchers and practising engineers. 2013 247 x 174 mm 354pp 145 b/w illus. 3 tables 978-1-107-04120-2 Hardback £65.00 For all formats available, see
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Textbook
An Introduction to Fluid Mechanics Faith A. Morrison Michigan Technological University
This is a modern and elegant introduction to engineering fluid mechanics enriched with numerous examples, exercises and applications. We delve deeply into the mathematical analysis of flows on the basis that such analysis is essential to designing and optimising modern systems and devices. Contents: Part I. Preparing to Study Flow: 1. Why study fluid mechanics?; 2. How fluids behave; Part II. The Physics of Flow: 3. Modeling fluids; 4. Molecular fluid stresses; 5. Stressvelocity relationships; Part III. Flow Field Calculations: 6. Microscopic balance equations; 7. Internal flows; 8. External flows; Part IV. Advanced Flow Calculations: 9. Macroscopic balance equations; 10. How fluids behave (redux); V. Appendices: A. Glossary; B. Mathematics appendix; C. Supplemental mathematics appendix; D. Special topics. 2013 253 x 177 mm 940pp 520 b/w illus. 40 tables 500 exercises 978-1-107-00353-8 Hardback £75.00 For all formats available, see
www.cambridge.org/9781107003538
Matrix Methods in the Design Analysis of Mechanisms and Multibody Systems John J. Uicker University of Wisconsin, Madison
Bahram Ravani University of California, Davis
and Pradip N. Sheth University of Virginia
This is an integrated approach to kinematic and dynamic analysis. The matrix techniques presented are general and applicable to two- or three-dimensional systems. Techniques lend themselves to programming and digital computation and can be a usable tool for designers, and are applicable to the design analysis of all multibody mechanical systems. 2013 253 x 177 mm 344pp 105 b/w illus. 5 tables 65 exercises 978-0-521-76109-3 Hardback £75.00 For all formats available, see
www.cambridge.org/9780521761093
Communications and signal processing Hilbert Space Methods in Signal Processing Rodney A. Kennedy Australian National University, Canberra
and Parastoo Sadeghi Australian National University, Canberra
An accessible introduction to Hilbert spaces, combining the theory with applications of Hilbert methods in signal processing. 2013 247 x 174 mm 440pp 66 b/w illus. 15 tables 100 exercises 978-1-107-01003-1 Hardback £70.00 For all formats available, see
www.cambridge.org/9781107010031
Solid mechanics and materials / Engineering mathematics and programming
Solid mechanics and materials Textbook
The Mechanics and Thermodynamics of Continua Morton E. Gurtin Carnegie Mellon University, Pennsylvania
Eliot Fried McGill University, Montréal
and Lallit Anand Massachusetts Institute of Technology
A consolidated treatment of continuum mechanics and thermodynamics that stresses the universal status of the basic balances and the entropy imbalance. The Mechanics and Thermodynamics of Continua is written for engineers, physicists and mathematicians. Contents: Part I. Vector and Tensor Algebra; Part II. Vector and Tensor Analysis; Part III. Kinematics; Part IV. Basic Mechanical Principles; Part V. Basic Thermodynamical Principles; Part VI. Mechanical and Thermodynamical Laws at a Shock Wave; Part VII. Basic Requirements for Developing Physically Meaningful Constitutive Theories; Part VIII. Rigid Heat Conductors; Part IX. The Mechanical Theory of Compressible and Incompressible Fluids; Part X. Mechanical Theory of Elastic Solids; Part XI. Thermoelasticity; Part XII. Species Diffusion Coupled to Elasticity; Part XIII. Theory of Isotropic Plastic Solids Undergoing Small Deformations; Part XIV. Small Deformation, Isotropic Plasticity Based on the Principle of Virtual Power; Part XV. Small Deformation, Isotropic Plasticity Based on the Principle of Virtual Power; Part XVI. Large-Deformation Theory of Isotropic Plastic Solids; Part XVII. Theory of Single Crystals Undergoing Small Deformations; Part XVIII. Single Crystals Undergoing Large Deformations. 2013 254 x 178 mm 718pp 41 b/w illus. 1 table 279 exercises 978-1-107-61706-3 Paperback £44.99 For all formats available, see
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Textbook
An Introduction to Continuum Mechanics Second edition J. N. Reddy Texas A & M University
The second edition of this best-selling textbook presents the concepts of continuum mechanics for advanced undergraduates and graduates. It features derivations of the basic equations of mechanics in invariant (vector and tensor) form and specification of governing equations
to various co-ordinate systems, and numerous illustrative examples, chapter summaries and exercises. Contents: 1. Introduction; 2. Vectors and tensors; 3. Kinematics of continua; 4. Stress measures; 5. Conservation and balance laws; 6. Constitutive equations; 7. Linearized elasticity; 8. Fluid mechanics and heat transfer; 9. Linearized viscoelasticity. 2013 253 x 177 mm 470pp 216 b/w illus. 9 tables 357 exercises 978-1-107-02543-1 Hardback £50.00 For all formats available, see
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Dynamics of Multibody Systems Fourth edition Ahmed A. Shabana University of Illinois, Chicago
This fourth edition introduces multibody dynamics with an emphasis on flexible body dynamics. It includes an additional chapter providing explanations for some of the fundamental issues addressed. The book’s wealth of examples and practical applications will be useful to graduate students, researchers and practising engineers working on flexible multibody systems. 2013 253 x 177 mm 393pp 93 b/w illus. 113 exercises 978-1-107-04265-0 Hardback £75.00 For all formats available, see
www.cambridge.org/9781107042650
Fundamentals of Engineering Plasticity William F. Hosford University of Michigan, Ann Arbor
William Hosford’s book is ideal for those involved in designing sheet metal forming processes. Knowledge of plasticity is essential for the computer simulation of metal forming processes, and understanding the advances in plasticity theory is key to formulating sound analyses. Includes simplified notations designed for process designers. 2013 228 x 152 mm 276pp 230 b/w illus. 978-1-107-03755-7 Hardback £45.00 For all formats available, see
www.cambridge.org/9781107037557
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Engineering mathematics and programming Textbook New in Paperback
Differential Equations for Engineers Wei-Chau Xie University of Waterloo, Ontario
Xie presents a systematic introduction to differential equations for engineering students. The relevance of differential equations in engineering applications motivates readers and studies of various types of differential equations are determined by engineering applications. The theory and techniques for solving differential equations are then applied to solve practical engineering problems. Contents: 1. Introduction; 2. First-order and simple higher-order differential equations; 3. Applications of first-order and simple higher-order equations; 4. Linear differential equations; 5. Applications of linear differential equations; 6. The Laplace transform and its applications; 7. Systems of linear differential equations; 8. Applications of systems of linear differential equations; 9. Series solutions of differential equations; 10. Numerical solutions of differential equations; 11. Partial differential equations; 12. Solving ordinary differential equations using Maple; Appendix A. Tables of mathematical formulas. 2014 254 x 178 mm 568pp 95 b/w illus. 8 tables 465 exercises 978-1-107-63295-0 Paperback £38.99 Also available 978-0-521-19424-2 Hardback £66.00 For all formats available, see
www.cambridge.org/9781107632950
Variational Methods with Applications in Science and Engineering Kevin W. Cassel Illinois Institute of Technology
There is a resurgence of applications for the calculus of variations, such as in solid mechanics and dynamics, numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. This book reflects the connection between calculus of variations and
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Engineering mathematics and programming / Theoretical physics and mathematical physics / Statistical physics the applications for which variational methods form the foundation. 2013 253 x 177 mm 432pp 112 b/w illus. 12 tables 108 exercises 978-1-107-02258-4 Hardback £65.00 For all formats available, see
www.cambridge.org/9781107022584
Methods of Applied Mathematics for Engineers and Scientists Tomas B. Co Michigan Technological University
Co has written an engineering mathematics textbook, rich with examples, applications and exercises that use analytical approaches to solve smaller problems and numerical methods for complex problems. The book emphasises applying matrices with strong attention to matrix structure and computational issues. MATLAB® implementations and concepts are fully integrated. 2013 253 x 177 mm 582pp 176 b/w illus. 52 tables 298 exercises 978-1-107-00412-2 Hardback £75.00 For all formats available, see
www.cambridge.org/9781107004122
Numerical Methods in Engineering with Python 3 Third edition Jaan Kiusalaas Pennsylvania State University
Provides an introduction to numerical methods for students in engineering courses. This book covers the solution of equations, interpolation and data fitting, solution of differential equations, eigenvalue problems and optimisation. The algorithms are implemented in Python 3, a high-level programming language that rivals MATLAB® in readability and ease of use. ‘… a practical introduction, pushing the theory as far in the background as possible.’ The European Mathematical Society (euromath-soc.eu) 2013 253 x 177 mm 432pp 31 b/w illus. 19 tables 978-1-107-03385-6 Hardback £65.00 For all formats available, see
www.cambridge.org/9781107033856
Theoretical physics and mathematical physics Geometric and Topological Methods for Quantum Field Theory Proceedings of the 2009 Villa de Leyva Summer School Edited by Alexander Cardona Universidad de los Andes, Colombia
Iván Contreras
Mathematics of Quantization and Quantum Fields Jan Dereziński Uniwersytet Warszawski, Poland
and Christian Gérard Université Paris-Sud
A unique and definitive review of mathematical aspects of quantization and quantum field theory for graduate students and researchers. Cambridge Monographs on Mathematical Physics
2013 247 x 174 mm 684pp 11 b/w illus. 5 tables 978-1-107-01111-3 Hardback £90.00 For all formats available, see
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Universität Zürich
and Andrés F. Reyes-Lega Universidad de los Andes, Colombia
Based on lectures given at the renowned Villa de Leyva summer school, this book provides a unique presentation of modern geometric methods in quantum field theory for researchers and graduate students in mathematics and physics. Written by experts, covers some of the most fascinating research topics in this subject. 2013 247 x 174 mm 392pp 30 b/w illus. 41 exercises 978-1-107-02683-4 Hardback £75.00 For all formats available, see
www.cambridge.org/9781107026834
Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes Andreas Recknagel King’s College London
and Volker Schomerus DESY Theory Group
Written by internationally renowned experts, this comprehensive introduction to boundary conformal field theory extends from theoretical foundations to recent developments, with an emphasis on the algebraic treatment of string backgrounds. Providing numerous worked examples, this reference is of interest to graduate students and researchers in physics and mathematics. Cambridge Monographs on Mathematical Physics
2013 247 x 174 mm 346pp 12 b/w illus. 978-0-521-83223-6 Hardback £65.00 For all formats available, see
www.cambridge.org/9780521832236
Statistical physics Textbook
A Student’s Guide to Entropy Don S. Lemons Bethel College, Kansas
Striving to explore the subject in as simple a manner as possible, this book helps readers understand the elusive concept of entropy, and is an ideal supplement to undergraduate courses in physics, engineering, chemistry and mathematics. Nearly 50 end-of-chapter exercises test readers’ understanding. Contents: 1. Thermodynamic entropy; 2. Statistical entropy; 3. Entropy of classical systems; 4. Entropy of quantized systems; 5. Entropy of a non-isolated system; 6. Entropy of Fermion systems; 7. Entropy of Boson system; 8. Entropy of information; Epilogue; Appendixes; Index. 2013 228 x 152 mm 194pp 38 b/w illus. 51 exercises 978-1-107-01156-4 Hardback £45.00 978-1-107-65397-9 Paperback £17.99 For all formats available, see
www.cambridge.org/9781107011564
Introduction to the Statistical Physics of Integrable Many-body Systems Ladislav Šamaj Institute of Physics, Slovak Academy of Sciences
and Zoltán Bajnok Hungarian Academy of Sciences, Budapest
This book considers a variety of models of integrable systems and demonstrates a number of situations to which they can be applied. It includes topics not traditionally covered in literature, such
Statistical physics / SIAM books / Also of interest as (1+1)-dimensional QFT. Suitable for graduate students and researchers in statistical physics, quantum mechanics and mathematical and theoretical physics. 2013 247 x 174 mm 523pp 29 b/w illus. 113 exercises 978-1-107-03043-5 Hardback £80.00 For all formats available, see
www.cambridge.org/9781107030435
SIAM books A Primer on Mathematical Models in Biology Lee A. Segel Weizmann Institute of Science, Israel
and Leah Edelstein-Keshet University of British Columbia, Vancouver
A textbook on mathematical modelling techniques for advanced undergraduate and graduate students in both biology and applied mathematics. Mathematical techniques are presented alongside powerful applications to biology, with emphasis on molecular events, excitable systems, and small protein and genetic circuits. Includes exercises, and appendices containing useful background material. 2013 247 x 174 mm 450pp 978-1-61197-249-8 Paperback £48.00 For all formats available, see
www.cambridge.org/9781611972498
Semidefinite Optimization and Convex Algebraic Geometry Edited by Grigoriy Blekherman Georgia Institute of Technology
Pablo A. Parrilo Massachusetts Institute of Technology
and Rekha Thomas University of Washington
Convex algebraic geometry is an important and applicable research area featuring contributions from convex and algebraic geometry, semidefinite programming, and optimization. This self-contained introduction to the topic is suitable for readers at the graduate level and can be used for a class or seminar. Researchers will find open problems. MPS-SIAM Series on Optimization, 13
2013 247 x 174 mm 495pp 978-1-61197-228-3 Paperback £90.00 For all formats available, see
www.cambridge.org/9781611972283
Also of interest Handbook of Financial Data and Risk Information I Principles and Context Volume 1 Edited by Margarita S. Brose Mark D. Flood Dilip Krishna Deloitte & Touche, LLP
and Bill Nichols
This comprehensive resource explores the different issues involved in collecting, measuring and managing data in the financial services industry. Written by experts and leading figures in risk management and analysis, it sets out a clear vision for a structural and operational framework for a financial risk data repository. 2014 247 x 174 mm 658pp 6 b/w illus. 50 colour illus. 40 tables 978-1-107-01201-1 Hardback £95.00 For all formats available, see
www.cambridge.org/9781107012011
13
Handbook of Financial Data and Risk Information Edited by Margarita S. Brose Mark D. Flood Dilip Krishna Deloitte & Touche, LLP
and Bill Nichols
This comprehensive resource explores the different issues involved in collecting, measuring and managing data in the financial services industry. Written by experts and leading figures in risk management and analysis, it sets out a clear vision for a structural and operational framework for a financial risk data repository. 2014 247 x 174 mm 1170pp 25 b/w illus. 140 colour illus. 80 tables 978-1-107-69070-7 2 Volume Hardback Set £160.00 For all formats available, see
www.cambridge.org/9781107690707
Handbook on Systemic Risk Edited by Jean-Pierre Fouque University of California, Santa Barbara
Handbook of Financial Data and Risk Information II Software and Data Volume 2 Edited by Margarita S. Brose Mark D. Flood Dilip Krishna Deloitte & Touche, LLP
and Bill Nichols
and Joseph A. Langsam University of Maryland, College Park
Written by experts in the field, this book provides researchers with an introduction to the multifaceted aspects of systemic risks facing the global financial markets. It is the editors’ aim to stimulate greater interdisciplinary academic research on this critically important topic with immense societal implications.
This comprehensive resource explores the different issues involved in collecting, measuring and managing data in the financial services industry. Written by experts and leading figures in risk management and analysis, it sets out a clear vision for a structural and operational framework for a financial risk data repository.
2013 247 x 174 mm 992pp 25 b/w illus. 140 colour illus. 75 tables 978-1-107-02343-7 Hardback £100.00
2014 247 x 174 mm 574pp 15 b/w illus. 90 colour illus. 40 tables 978-1-107-01202-8 Hardback £95.00
Paul Fannon Vesna Kadelburg Ben Woolley and Stephen Ward
For all formats available, see
www.cambridge.org/9781107012028
For all formats available, see
www.cambridge.org/9781107023437
Mathematics Higher Level for the IB Diploma
This highly illustrated book covers topic 9 of the IB Diploma Higher Level Mathematics syllabus, the optional topic Calculus. It is also for use with the further mathematics course. Based on the new group 5 aims, the progressive approach encourages cumulative learning. Features include: a chapter for mixed examination practice; worked examples; questions colourcoded according to grade; exam-style
eBooks available at www.cambridge.org/ebookstore
14
Also of interest questions; and feature boxes with exam hints and tips. IB Diploma
2013 297 x 210 mm 186pp 978-1-107-63289-9 Option Topic 9 Calculus £12.95 For all formats available, see
www.cambridge.org/9781107632899
Mathematics Higher Level for the IB Diploma Paul Fannon Vesna Kadelburg Ben Woolley and Stephen Ward
This highly illustrated book covers topic 7 of the IB Diploma Higher Level Mathematics syllabus, the optional topic Statistics and Probability. It is also for use with the further mathematics course. Based on the new group 5 aims, the progressive approach encourages cumulative learning. Features include: a chapter for mixed examination practice; worked examples; questions colourcoded according to grade; exam hints and tips; and calculator skills sheets. IB Diploma
2013 297 x 210 mm 173pp 978-1-107-68226-9 Option Topic 7 Statistics and Probability £12.95 For all formats available, see
www.cambridge.org/9781107682269
Mathematics Higher Level for the IB Diploma Paul Fannon Vesna Kadelburg Ben Woolley and Stephen Ward
This highly illustrated book covers topic 8 of the IB Diploma Higher Level Mathematics syllabus, the optional topic Sets, Relations and Groups. It is also for use with the further mathematics course. Based on the new group 5 aims, the progressive approach encourages cumulative learning. Features include: a chapter for mixed examination practice; worked examples; questions colourcoded according to grade; exam-style questions; and exam hints and tips. IB Diploma
2013 297 x 210 mm 148pp 978-1-107-64628-5 Option Topic 8 Sets, Relations and Groups £12.95 For all formats available, see
www.cambridge.org/9781107646285
Mathematics Higher Level for the IB Diploma Paul Fannon Vesna Kadelburg Ben Woolley and Stephen Ward
This highly illustrated book covers topic 10 of the IB Diploma Higher Level Mathematics syllabus, the optional topic Discrete Mathematics. It is also for use with the further mathematics course. Based on the new group 5 aims, the progressive approach encourages cumulative learning. Features include: a chapter for mixed examination practice; worked examples; questions colourcoded according to grade; exam-style questions; and exam hints and tips. IB Diploma
2013 297 x 210 mm 187pp 978-1-107-66694-8 Option Topic 10 Discrete Mathematics £12.95 For all formats available, see
www.cambridge.org/9781107666948
Mathematics for the IB Diploma: Higher Level Paul Fannon Vesna Kadelburg Ben Woolley and Stephen Ward
A highly illustrated coursebook, written to specifically cover the new IB Higher Level syllabus. IB Diploma
2012 264 x 196 mm 918pp 978-1-107-66173-8 with CD-ROM £44.95 For all formats available, see
www.cambridge.org/9781107661738
Introduction to Mathematical Portfolio Theory Mark S. Joshi University of Melbourne
and Jane M. Paterson
A concise yet comprehensive guide to the mathematics of portfolio theory from a modelling perspective, with discussion of the assumptions, limitations and implementations of the models as well as the theory underlying them. Aimed at advanced undergraduates, this book can be used for self-study or as a course text. International Series on Actuarial Science
2013 247 x 174 mm 325pp 30 b/w illus. 170 exercises 978-1-107-04231-5 Hardback £40.00 For all formats available, see
www.cambridge.org/9781107042315
Probability for Finance Ekkehard Kopp University of Hull
Jan Malczak AGH University of Science and Technology, Krakow
and Tomasz Zastawniak University of York
Students and instructors alike will benefit from this rigorous, unfussy text. It keeps a clear focus on the basic probabilistic concepts required for an understanding of financial market models, including independence, conditioning and limit theorems for random sequences. Motivational examples, careful proofs and plenty of exercises facilitate self-study. Mastering Mathematical Finance
2013 228 x 152 mm 196pp 12 b/w illus. 150 exercises 978-1-107-00249-4 Hardback £50.00 978-0-521-17557-9 Paperback £24.00 For all formats available, see
www.cambridge.org/9781107002494
Index A Aaronson, Scott........................................4 Acta Numerica 2013................................9 Analysis of Multivariate and HighDimensional Data..................................7 Analytic Combinatorics in Several Variables...............................................4 Anand, Lallit...........................................11 Andersson, Bengt...................................10 Andersson, Ronnie.................................10 Aperiodic Order........................................4 Apostol, Tom............................................4 Applications to Regular and Bang-Bang Control..................................................8 Azzalini, Adelchi.......................................7
B Baake, Michael.........................................4 Bajnok, Zoltán........................................12 Ball, Robin...............................................8 Barenblatt, G. I.........................................9 Barendregt, Henk.....................................3 Basic Category Theory..............................3 Basic Course in Measure and Probability, A.........................................6 Baskharone, Erian A...............................10 Bayesian Filtering and Smoothing.............7 Blackburn, Simon R..................................4 Blekherman, Grigoriy..............................13 Bookstein, Fred L......................................7 Borwein, J. M...........................................1 Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes.. 12 Brambila-Paz, Leticia................................5 Branner, Bodil...........................................6 Bray, John N.............................................2 Brennen, Christopher Earls.....................10 Brose, Margarita S..................................13 Brownian Models of Performance and Control..................................................7 Buoyancy Effects on Natural Ventilation....9
C Calvetti, Daniela.......................................8 Cambanis, Stamatis..................................6 Canonical Ramsey Theory on Polish Spaces..................................................3 Capitanio, Antonella.................................7 Cardona, Alexander................................12 Cassel, Kevin W......................................11 Cavitation and Bubble Dynamics............10 Ceccherini-Silberstein, Tullio......................2 Chenvidyakarn, Torwong..........................9 Co, Tomas B...........................................12 Coherence in Three-Dimensional Category Theory....................................3 Complexity Science...................................8 Computational Mathematical Modeling: An Integrated Approach Across Scales....8 Contreras, Iván.......................................12 Convex Bodies: The Brunn–Minkowski Theory...................................................5 Course in Mathematical Analysis, A...........6 Cryptography Primer, A.............................4 Cucker, Felipe...........................................1
D Dankowicz, Harry.....................................9 Davidson, P. A...........................................8
Dekkers, Wil.............................................3 Deng, Bangming......................................2 Dereziński, Jan.......................................12 Differential Equations for Engineers........11 Differential Geometry of Singular Spaces and Reduction of Symmetry...................5 Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory, A.............2 Du, Jie......................................................2 Dudley, R. M.............................................6 Dynamics of Multibody Systems..............11
E Edelstein-Keshet, Leah............................13 Effective Mathematics of the Uncountable.3 El-Fallah, Omar.........................................5 Elements of Logical Reasoning..................2
F Fagella, Núria...........................................6 Fannon, Paul.................................... 13, 14 Finite Element Method with Heat Transfer and Fluid Mechanics Applications, The.................................10 Flood, Mark D........................................13 Flow, Deformation and Fracture................9 Fouque, Jean-Pierre................................13 Frankenhuijsen, Machiel van.....................2 Fricain, Emmanuel....................................5 Fried, Eliot..............................................11 Fu, Qiang.................................................2 Fundamentals of Engineering Plasticity...11
G Garcia-Prada, Oscar..................................5 Garling, D. J. H..........................................6 Generalized Vectorization, CrossProducts, and Matrix Calculus................9 Geometric and Topological Methods for Quantum Field Theory..........................12 Gérard, Christian....................................12 Gerhard, Jürgen.......................................3 Gerke, Stefanie.........................................4 Glasser, M. L.............................................1 Goubault-Larrecq, Jean.............................5 Gouvêa, Fernando Q.................................2 Greenberg, Noam.....................................3 Grimm, Uwe.............................................4 Group Cohomology and Algebraic Cycles..2 Guide to Functional Analysis, A.................5 Guide to Groups, Rings, and Fields, A........2 Gurski, Nick.............................................3 Gurtin, Morton E....................................11
H Hacking, Ian.............................................1 Hadlock, Charles R...................................8 Hamkins, Joel David.................................3 Handbook of Financial Data and Risk Information.........................................13 Handbook of Financial Data and Risk Information I.......................................13 Handbook of Financial Data and Risk Information II......................................13 Handbook on Systemic Risk....................13 Hanratty, Thomas J..................................10 Harrison, J. Michael..................................7 Henle, Michael.........................................1
15
High Accuracy Computing Methods..........9 Hilbert Space Methods in Signal Processing...........................................10 Hirschfeldt, Denis.....................................3 Holt, Derek F.............................................2 Hopkins, Brian..........................................1 Hosford, William F...................................11 How Humans Learn to Think Mathematically......................................1
I Information Theory and Coding by Example................................................3 Introduction to Computational Stochastic PDEs, An...............................8 Introduction to Continuum Mechanics, An......................................................11 Introduction to Fluid Mechanics, An........10 Introduction to Mathematical Portfolio Theory.................................................14 Introduction to the Statistical Physics of Integrable Many-body Systems.............12 Iserles, Arieh.............................................9
J Joshi, Mark S..........................................14
K Kadelburg, Vesna............................. 13, 14 Kanovei, Vladimir.....................................3 Kelbert, Mark...........................................3 Kellay, Karim............................................5 Kelly, Frank...............................................7 Kennedy, Rodney A.................................10 Kiusalaas, Jaan.......................................12 Klein, Philip N...........................................4 Klymchuk, Sergiy......................................6 Koch, Inge................................................7 Kolokoltsov, Vassili...................................8 Kopp, Ekkehard......................................14 Krantz, Steven G.......................................5 Krishna, Dilip..........................................13
L Lambda Calculus with Types.....................3 Langsam, Joseph A.................................13 Lattice Sums Then and Now......................1 Leadbetter, Ross.......................................6 Leinster, Tom............................................3 Lemons, Don S........................................12 Lévy Processes and Infinitely Divisible Distributions..........................................6 Lord, Gabriel J..........................................8
M MacKay, Robert S.....................................8 Malczak, Jan..........................................14 Manifold Mirrors......................................1 Manifolds, Tensors, and Forms..................4 Martin Gardner in the Twenty-First Century.................................................1 Mashreghi, Javad.....................................5 Mathematical Modeling in Chemical Engineering.........................................10 Mathematics for the IB Diploma: Higher Level...................................................14 Mathematics Higher Level for the IB Diploma........................................ 13, 14
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Index Mathematics of Quantization and Quantum Fields...................................12 Matrix Methods in the Design Analysis of Mechanisms and Multibody Systems...............................................10 Maurer, Helmut........................................8 Maximal Subgroups of the LowDimensional Finite Classical Groups, The.2 McPhedran, R. C.......................................1 Measuring and Reasoning........................7 Mechanics and Thermodynamics of Continua, The......................................11 Methods of Applied Mathematics for Engineers and Scientists......................12 Miller, G...................................................9 Miller, Russell...........................................3 Mnatsakanian, Mamikon..........................4 Modern Computer Algebra.......................3 Moduli Spaces..........................................5 Morrison, Faith A....................................10
N New Horizons in Geometry.......................4 Newstead, Peter.......................................5 Nichols, Bill............................................13 Non-Hausdorff Topology and Domain Theory...................................................5 Numerical Analysis for Engineers and Scientists...............................................9 Numerical Methods in Engineering with Python 3.............................................12 Numerical Solution of Elliptic and Parabolic Partial Differential Equations...8
O Olsson, Louise........................................10 Osmolovskii, Nikolai P...............................8
P Paradoxes and Sophisms in Calculus.........6 Paris, Jeffrey.............................................3 Parrilo, Pablo A.......................................13 Paterson, Jane M....................................14 Pemantle, Robin.......................................4 Physics of Gas-Liquid Flows....................10 Pipiras, Vladas..........................................6 Plato, Jan von...........................................2 Powell, Catherine E..................................8 Primer on Mathematical Models in Biology, A............................................13 Primer on the Dirichlet Space, A................5 Probability for Finance............................14 Pure Inductive Logic.................................3
Q
T
Quantum Computing since Democritus.....4 Quantum Information Theory....................4 Quasiconformal Surgery in Holomorphic Dynamics..............................................6
Tall, David................................................1 Theory of H(b) Spaces, The........................5 Thomas, Rekha.......................................13 Thomas, Richard P. W................................5 Tolli, Filippo..............................................2 Torsors, Étale Homotopy and Applications to Rational Points..............2 Totaro, Burt..............................................2 Trangenstein, John A.................................8 Turbulence in Rotating, Stratified and Electrically Conducting Fluids.................8 Turkington, Darrell A.................................9
R Ransford, Thomas.....................................5 Rasmuson, Anders..................................10 Ravani, Bahram......................................10 Recipes for Continuation..........................9 Recknagel, Andreas................................12 Reddy, J. N.............................................11 Renteln, Paul............................................4 Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups..................................................2 Reyes-Lega, Andrés F..............................12 Riemann Hypothesis for Function Fields, The.......................................................2 Roney-Dougal, Colva M............................2
S Sabok, Marcin..........................................3 Sadeghi, Parastoo...................................10 Šamaj, Ladislav......................................12 Särkkä, Simo............................................7 Sato, Ken-iti.............................................6 Scarabotti, Fabio......................................2 Schilder, Frank..........................................9 Schneider, Rolf.........................................5 Schomerus, Volker..................................12 Segel, Lee A...........................................13 Semidefinite Optimization and Convex Algebraic Geometry.............................13 Sengupta, Tapan.......................................9 Shabana, Ahmed A.................................11 Shardlow, Tony.........................................8 Sheth, Pradip N......................................10 Six Sources of Collapse.............................8 Skew-Normal and Related Families, The....7 Skiena, Steven..........................................1 Skorobogatov, Alexei N.............................2 Śniatycki, J...............................................5 Somersalo, Erkki.......................................8 Staples, Susan G.......................................6 Statman, Richard......................................3 Stochastic Networks.................................7 Student’s Guide to Entropy, A.................12 Suhov, Yuri...............................................3 Surveys in Combinatorics 2013.................4
U Uicker, John J..........................................10 Uniform Central Limit Theorems................6
V Variational Methods with Applications in Science and Engineering..................11 Vencovská, Alena.....................................3 von zur Gathen, Joachim..........................3
W Wan, J. G..................................................1 Ward, Charles B........................................1 Ward, Stephen................................. 13, 14 Who’s Bigger?..........................................1 Why Is There Philosophy of Mathematics At All?...................................................1 Wilde, Mark M.........................................4 Wildon, Mark...........................................4 Wilson, Mark C.........................................4 Woolley, Ben.................................... 13, 14
X Xie, Wei-Chau........................................11
Y Yudovina, Elena.......................................7
Z Zapletal, Jindřich......................................3 Zastawniak, Tomasz...............................14 Zucker, I. J................................................1
Notes
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