PUBLICATIONS of the American Mathematical Society up to AMS Individual 20% Member Discount Receive Substantial Discounts on All AMS Published and Co-Published Books!

PUBLICATIONS of the American Mathematical Society up to AMS Individual 20% Member Discount Receive substantial discounts on all AMS published and co-published books!

TEXTBOOKAMS Textbooks Find the right textbook for your course! The AMS publishes many high-quality books for use in the classroom. To view a comprehensive list of our most widely TEXTBOOKSadopted textbooks, please visit FRwww.ams.org/bookstore/textbooks.OM THE AMS To Prospective Authors The AMS has been publishing books on advanced mathematics for almost 100 years. The AMS should be considered as your publisher of choice for many reasons, including: The AMS is a nonprofit organization, and by publishing with us you will help support many activities that benefit the entire mathematical community. Contents The list price of your book will likely be 3 Featured Selections 21 Mathematical Physics lower than with any other publisher.

14 Algebra and Algebraic 22 Memoirs of the AMS Your monograph will never go out of print. Geometry 24 AMS-Distributed The AMS will create and support a website 16 Applications Publications for your book on which you can post 17 Differential Equations 26 Index by Title and Author additions, updates, and supplementary material at your convenience throughout 18 Geometry and 28 Index by Series the lifetime of your book. Topology 30 ordering Information If you would like to submit a manuscript to 20 Logic and Foundations the AMS, please visit www.ams.org/authors.

Order Online | www.ams.org/bookstore featured Selections

Riot at the Calc Exam and Other Mathematically Bent Stories

Colin Adams, Williams College, Williamstown, MA

Who says mathematics is dull, overly quantitative and logical in the extreme? Certainly not Colin Adams, a Williams College professor who with this collection of entertaining stories opens a window into a humorous culture of mathematics and mathematicians. This work reflects the collegial atmosphere of what Adams calls one of the most amusing departments in academia, with many of the ideas in the book derived from the typical discussions that occur among his colleagues. The stories compiled in this book will make mathematics and mathematics culture less intimidating to the reader, giving the layperson an idea of what it would be like to participate in that world. Story titles include “Mangum, P.I.”, “A Proof of God”, “This Theorem is Big”, “Worst-Case-Scenario Survival Handbook: Mathematics”, and “Vital Sines”. This first book devoted to short humorous math fiction will appeal to mathematics graduates and researchers seeking a break from the rigors of their work, as well as to a general audience interested in light mathematical reading. Adams writes that in the hidden world of mathematics, students laugh out loud when they receive their test scores, and cohomology theory helps comedians learn to tell a better joke. This book offers a romp through an unexpected wild world, for anyone with an interest in mathematics. READERSHIP: General mathematical audience interested in light mathematical reading.

2009; 271 pp.; softcover; ISBN: 978-0-8218-4817-3; List US$32; AMS members US$26; Order code: MBK/62

Table of Contents Introduction Trial and Error (script) Notes on the Introduction Hiring Season Acknowledgments Class Reunion The S.S. Riemann Worst-Case-Scenario Survival Pythagoras’s Darkest Hour Handbook: Mathematics Mangum, P.I. Into Thin Air Overcoming Math Anxiety Math Talk by Colin Adams and Lew Ludwig (script) A Difficult Delivery A Deprogrammer’s Tale A Proof of God Research Announcement The Red Badge of Courage A Killer Theorem This Theorem is Big A Subprime Lending Market Primer Journey to the Center of Mathematics Fields Medalist Stripped The Theorem Blaster More from the Mathematical Ethicist Riot at the Calc Exam Math Fall Fashion Preview (script) The Mathematical Ethicist Dr. Yeckel and Mr. Hide Phone Interview (script) The Pepsi Putnam Challenge The Integral: A Horror Story Vital Sines (script) The Three Little Pigs Rumpled Stiltsken 3 Northnorthwestern Math Department Safety Manual

Order Online | www.ams.org/bookstore Featured FeatureD Selections Selections

A Primer on the Calculus of Variations and Optimal Control Theory

Mike Mesterton-Gibbons, Florida State University, Tallahassee, FL

The calculus of variations is an old extension from regular calculus with uses in both pure and applied mathematics, while optimal control theory is primarily an area of applied mathematics. In this book, the author introduces both classical theory and more modern developments from the perspective of an applied mathematician, in a format appealing to both mathematics undergraduates and scholars in other disciplines. This book differs from other texts in this area in that it has specific appeal to undergraduates and it relies on students’ access to computer mathematics systems. It focuses on understanding concepts and how to apply them, as opposed to rigorous proofs of existence and uniqueness theorems. The range of potential applications of these subjects is broad, covering a number of fields from biology to criminology to finance. Some uncommon applications discussed in the book include cancer chemotherapy, navigational control and renewable resource harvesting. The author uses numerous examples to build up the material. He employs a nurturing writing style that is meticulous with the material most critical to his presentation. Modest prerequisites for the reader include the standard calculus sequence, a first course on ordinary differential equations, and some familiarity with one of the standard mathematical software packages. The author has created a broadly relevant presentation with an approach seeking to explain rather than prove, and by including explicit applications. His expertise in a number of areas of mathematics, including those connected with mathematical biology, offers the reader a unique perspective. READERSHIP: Undergraduate and graduate students interested in the calculus of variations and optimal control.

StudentTEXTBOOK Mathematical Library, Volume 50 2009; 252 pp.; softcover; ISBN: 978-0-8218-4772-5; List US$45; AMS members US$36; Order code: STML/50

TEXTBOOKS FROM THE AMS

Differential Equations, Mechanics, and Computation Richard S. Palais, University of California, Irvine, CA, and Robert A. Palais, University of Utah, Salt Lake City, UT

The authors of this book take the rich subject of differential equations and focus nearly exclusively on equations of evolution, looking mainly at initial value problems. Their main goal is to develop in the reader an intuition for equations of evolution and how they can be used to model a variety of time-dependent processes, particularly in the study of classical mechanics. The authors effectively combine an exposition of the theory of ordinary differential equations with a description of numerical methods. They concentrate on the initial value problem for equations of evolution and with applications to the calculus of variations and classical mechanics. The book’s five chapters are relatively easy to read, with the most technical material placed in ten mini-chapters that form the book’s appendices. The authors have selected to use a combination of traditional diagrams in the text and online aids to illustrate the complex mathematical concepts. An area on the publisher’s website is devoted to the book, with references to this area referred to in the text as the “Web Companion” and the area available for updates with new material. The ideal reader is one accustomed to seeing mathematics presented conceptually and not as a series of cook- book methods for solving exercises. The reader also is encouraged to work out some of the details, with the student asked at times to fill in details of a proof or to derive a corollary. READERSHIP: Undergraduate and graduate students interested in ordinary differential equations and numerical methods. This volume was co-published with the Institute for Advanced Study/Park City Mathematics Institute. Student Mathematical Library, Volume 51 2009; approximately 317 pp.; softcover; ISBN: 978-0-8218-2138-1; List US$51; AMS members US$41; Order code: STML/51 4

Order by Phone | 1-401-455-4000 or 1-800-321-4267 Featured FeatureD Selections Selections

Famous Puzzles of Great Mathematicians

Miodrag S. Petkovic´ , University of Nis, Serbia

Throughout the history of mathematics, great mathematicians have taken an interest in puzzles, games and entertaining problems, and this often has fostered the development of new disciplines and has sparked research. This unique collection of 180 famous mathematical puzzles and intriguing elementary problems is intended both to entertain and to introduce compelling mathematical ideas. Mathematical amusements offer an ample playing field to both the amateur and the professional mathematician, and the problems in this book have been selected carefully in order to be accessible to a variety of readers. Given that mathematicians since ancient times have taken an interest in puzzles and diversions, this seems to confirm the notion that creative stimuli and aesthetic considerations are intertwined. Because the book is intended primarily to amuse and entertain, the author dispenses with a rigorous treatment of mathematical details, definitions and proofs. Pencil and paper are all that is required of the reader, as well as the same patience and persistence that define careful mathematical research. Most of the book’s problems originated in number theory, graph theory, optimization and probability. The book also offers brief biographies of the mathematicians whose tasks are featured. Many noteworthy mathematicians have communicated absolute genius in mathematical thought by using recreational mathematics as a framework. The problems included in this book, which were posed, discussed and/or solved by these great minds, bring the reader closer to these individuals through their works and their personal stories. READERSHIP: General readers and undergraduate students interested in puzzles and recreational mathematics. 2009; 325 pp.; softcover; ISBN: 978-0-8218-4814-2; List US$36; AMS members US$29; Order code: MBK/63

Those Fascinating Numbers

Jean-Marie De Koninck, Université Laval, Quebec, QC, Canada

Translated by Jean-Marie De Koninck

The author of this book demonstrates that listing positive integers along with their most remarkable properties is a highly engaging adventure, constantly challenging the reader on various topics in number theory. The book serves as an important platform for exploring several new concepts, such as the index of composition and the index of isolation of an integer. A large variety of numbers are contemplated in the book, including Fermat numbers, Mersenne primes, powerful numbers, sublime numbers, Wieferich primes, insolite numbers, Sastry numbers and voracious numbers. Included are several tables of particular families of numbers, such as the list of all 88 narcissistic numbers and the list of the eight known numbers that are not prime powers but can be written as the sum of the cubes of their prime factors. Unlike other books that merely exhibit interesting properties of numbers, this book offers more, including short proofs of key results, various algorithms and new research projects in number theory. Each of its open problems stands for an enigma that will feed the reader’s curiosity. The author, known in Canada for creating a positive public image of mathematics, offers material that will appeal to a broad audience. Undergraduates and laypersons will find that many properties of integers are relatively easy to understand, while graduate students and researchers will be engaged by the many open problems in classical number theory. READERSHIP: Undergraduates, graduate students, and research mathematicians interested in number theory. 2009; 426 pp.; softcover; ISBN: 978-0-8218-4807-4; List US$49; AMS members US$39; Order code: MBK/64

Order Online | www.ams.org/bookstore Featured FeatureD Selections Selections

TEXTBOOK

TEXTBOOKS FROM THE AMS

Mathematics and Music David Wright, Washington University, St. Louis, MO

Professor David Wright came to realize over time that his two lifelong passions of mathematics and music were more interrelated than he had ever assumed. This book, based on notes from Wright’s Mathematics and Music course at Washington University, introduces the reader to the relationship between mathematical reasoning and musical creativity, helping to remove the apprehension that followers of one subject often face in engaging in the other. Wright’s work encourages the analytic, quantitative, artistic and emotional aspects of the mind to work together in the creative process. Musical and mathematical notions are brought together, such as scales/modular arithmetic, intervals/logarithms, tone/trigonometry, timbre/harmonic analysis, and tuning/rationality. This allows for the introduction of important mathematical concepts to undergraduates not often exposed to these ideas. When possible, discussions of musical and mathematical notions are directly interwoven, resulting in an integra- tive treatment of the two subjects. Exercises are provided at the end of each chapter. It has been said that mathematics is the most abstract science and music is the most abstract art. Wright once thought these were independent interests, but his work today emphasizes the existence of at least a positive and supportive coexistence between these two fascinating subjects. This book brings these interrelationships to life for the undergraduate reader. READERSHIP: Undergraduate students interested in math and/or music. Mathematical World, Volume 28 2009; 161 pp.; softcover; ISBN: 978-0-8218-4873-9; List US$35; AMS members US$28; Order code: MAWRLD/28

Table of Contents

* Basic mathematical and musical concepts * Horizontal structure * Harmony and related4 numerology * Ratios and musical intervals5 6 * Logarithms and musical intervals 7 8 * Chromatic scales 9 10 1 2 * Octave identification and modular arithmetic 11 * Algebraic3 properties of the integers 12 * The integers as intervals * Timbre and periodic functions * The rational numbers as musical intervals * Tuning the scale to obtain rational intervals * Bibliography * Index

1 2 3 4 5 6 7 6

Order by Phone | 1-401-455-4000 or 1-800-321-4267 Featured FeatureD Selections Selections

Dirichlet Branes and Mirror Symmetry

Paul S. Aspinwall, Duke University, Durham, NC, Tom Bridgeland, University of Sheffield, United Kingdom, Alastair Craw, University of Glasgow, United Kingdom, Michael R. Douglas, Stony Brook University, NY, Mark Gross, University of California, San Diego, La Jolla, CA, Anton Kapustin, California Institute of Technology, Pasadena, CA, Gregory W. Moore, Rutgers University, Piscataway, NJ, Graeme Segal and Balázs Szendro ˝ i, University of Oxford, United Kingdom, and P.M.H. Wilson, University of Cambridge, United Kingdom

Research in string theory has generated a rich interaction with algebraic geometry, with exciting new work that includes the Strominger-Yau-Zaslow conjecture. This monograph builds on lectures at the 2002 Clay School on Geometry and String Theory that sought to bridge the gap between the languages of string theory and algebraic geometry, presenting an updated discussion that includes subsequent developments. The group of distinguished mathematicians and mathematical physicists who produced this monograph worked as a team to create a unique volume. Its overall goal is to explore the physical and mathematical aspects of Dirichlet branes. The narrative is organized around two principal ideas: Kontsevich’s Homological Mirror Symmetry conjecture and the Strominger-Yau-Zaslow conjecture. The authors explain how Kontsevich’s conjecture is equivalent to the identification of two different categories of Dirichlet branes. They also explore the ramifications and current state of the Strominger-Yau-Zaslow conjecture. They relate the ideas to active areas of research that include the McKay correspondence, topological quantum field theory, and stability structures. The authors were not satisfied to tell their story twice, from separate mathematics and physics points of view. Instead, theirs is a unified presentation offered in a way that both mathematicians and physicists can follow, without having all of the foundations of both subjects at their immediate disposal. READERSHIP: Graduate students and research mathematicians interested in mathematical aspects of quantum field theory, in particular string theory and mirror symmetry. Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).

Clay TEXTBOOKMathematics Monographs, Volume 4 2009; approximately 684 pp.; hardcover; ISBN: 978-0-8218-3848-8; List US$109; AMS members US$87; Order code: CMIM/4

TEXTBOOKS FROM THE AMS A First Course in Sobolev Spaces A First Course Giovanni Leoni, Carnegie Mellon University, Pittsburgh, PA in Sobolev Spaces

Sobolev spaces are a fundamental tool in the modern study of partial differential equations. Unlike the typical introduction to this topic through the abstract theory of distributions, this book is believed to be the first that Giovanni Leoni introduces Sobolev spaces as the natural development and unfolding of monotone, absolutely continuous, and BV functions of one variable.

The author, a 2001 recipient of an Italian Mathematical Society award for best mathematician under age 34, Graduate Studies in Mathematics

offers a two-part text that starts with a close examination of functions of one variable. Several of the topics here Volume 105 occur in courses on real analysis or measure theory; their applications to Sobolev functions offer a fresh perspective. Some of the topics included in the first part of the book are Lebesgue-Stieltjes measures and the notion of American Mathematical Society decreasing rearrangement. The detail in the one-variable part of the book facilitates the understanding of Sobolev functions of several variables, which are discussed in the second part. This section is more classical, but also includes recent results. Chapters cover BV functions, symmetric rearrangement and the theory of Besov spaces. More than 200 exercises accompany the text. READERSHIP: Graduate students and research mathematicians interested in Sobolev spaces, particularly their applications to PDEs. Graduate Studies in Mathematics, Volume 105 2009; 607 pp.; hardcover; ISBN: 978-0-8218-4768-8; List US$85; AMS members US$68; Order code: GSM/105 7

Order Online | www.ams.org/bookstore Featured FeatureD Selections Selections

Embeddings in Manifolds Embeddings Robert J. Daverman, University of Tennessee, Knoxville, TN, and Gerard A. Venema, Calvin College, in Manifolds Grand Rapids, MI

Robert J. Daverman A topological embedding is a homeomorphism of one space onto a subspace of another. This book analyzes how Gerard A. Venema and when objects such as polyhedra and manifolds embed in a given higher-dimensional manifold. The book will help readers understand the role engulfing plays in the analysis of high-dimension manifolds.

Graduate Studies The main problem that is addressed is to determine when two topological embeddings of the same object are in Mathematics

Volume 106 equivalent in the sense of differing only by a homeomorphism of the ambient manifold. A key aspect of the problem is taming: When is a topological embedding of a polyhedron equivalent to a piecewise linear embed- American Mathematical Society ding? The book focuses on the fundamental role of local homotopy properties of the complement in answering the taming question. The book opens with a fresh description of classic examples of wild embeddings. Engulfing is developed in detail next, followed by an organization of the study of embeddings by codimension. The book includes complete details of codimension-three proofs, including the requisite piecewise linear tools. This organized review of topological embeddings generally requires of the reader a knowledge of piecewise linear topology. The book is designed as a coherent summary and exposition of the fundamental results in this now mature branch of geometric topology. READERSHIP: Graduate students and research mathematicians interested in geometric topology.

GraduateTEXTBOOK Studies in Mathematics, Volume 106 2009; 474 pp.; hardcover; ISBN: 978-0-8218-3697-2; List US$75; AMS members US$60; Order code: GSM/106

TEXTBOOKS FROM THE AMS

Curves and Surfaces Curves Second Edition and Surfaces SECOND EDITION Sebastián Montiel and Antonio Ros, Universidad de Granada, Spain

Sebastián Montiel Many consider the study of the geometry of curves and surfaces an essential part of each mathematician’s basic Antonio Ros training, while also serving as an effective introduction to the subject of differential geometry. The authors of this introductory textbook’s second edition take into account both of these uses, offering a modern introduction Graduate Studies that emphasizes global theory. in Mathematics

Volume 69 As part of the study of the global properties of curves and surfaces, the authors employ tools that are more American Mathematical Society sophisticated than what is often seen in this type of text. The book includes an elementary treatment of the Gauss-Bonnet theorem and discusses the Euler characteristic. It also covers the Alexandrov theorem on constant mean curvature compact surfaces. The book’s final chapter addresses the global geometry of curves, including periodic space curves and the four-vertices theorem for plane curves that are not necessarily convex. The authors have included an excellent collection of examples and exercises, along with hints. The new edition also includes some short sections of new material, mainly new proofs of key results. The authors, who are active researchers in differential geometry, see the book both as an introduction to the lively subject of curves and surfaces and as a precursor to a wider study of differential geometry. Based on their course given over several years at the University of Granada, the text presents some of the most relevant global results of classical differential geometry, using integration theory in a powerful way to obtain them. READERSHIP: Undergraduate students, graduate students, and research mathematicians interested in the geometry of curves and surfaces. This book is jointly published by the AMS and the Real Sociedad Matemática Española (RSME). Graduate Studies in Mathematics, Volume 69 2009; 376 pp.; hardcover; ISBN: 978-0-8218-4763-3; List US$69; AMS members US$55; Order code: GSM/69.R

Order by Phone | 1-401-455-4000 or 1-800-321-4267 Featured FeatureD Selections Selections

TEXTBOOK

TEXTBOOKS FROM THE AMS

Models of Conflict and Cooperation Rick Gillman, Valparaiso University, IN, and David Housman, Goshen College, IN

Game theory constitutes an ideal selection for presenting many of the distinguishing features of modern mathematics, from algebraic computations to reliance on probabilities to real-world applications. This book is a comprehensive introductory text in game theory that will provide a distinctive experience for non-mathematics students working to be quantitatively literate. This book is distinctive in its emphasis on the process of mathematical modeling, first addressed in an individual’s attempt to quantify preferences among the possible outcomes for all decision-making. Chapters 3 to 5 focus on strategic games, concluding with a study of Prisoners Dilemma, which demonstrates the ongoing tension between rational self-interest and the collective good. Chapters 6 to 8 address solutions to the bargaining problem, coalition games of three or more players, and the issue of fairness in problems where a group needs to partition a set of objects. Each chapter begins with a “dialogue” that models quantitative discourse while previewing the chapter’s contents. The sections that follow develop the key ideas, starting with basic models and ending with deep concepts and results. The entire book emphasizes the promotion of student engagement through relevant models, recommended activities and exercises. Colleges and universities will find this book extremely useful for general education math courses. The book includes clear demonstrations of the mathematics and will develop in students a quantitative way to think about the world. The general undergraduate reader will reach the point of thinking like a mathematician. READERSHIP: Undergraduate students interested in game theory. TEXTBOOK 2009; 417 pp.; hardcover; ISBN: 978-0-8218-4872-2; List US$69; AMS members US$55; Order code: MBK/65

TEXTBOOKS FROM THE AMS

Not Always Buried Deep A Second Course in Elementary Number Theory

Paul Pollack, University of Illinois, Urbana-Champaign, IL

Many problems of substantial interest in number theory can be fully described to someone who does not have a vast mathematical background. In this clever textbook on elementary number theory, Paul Pollack focuses on the many interesting results that can be achieved through elementary methods. The heart of the book consists of a thorough introduction to elementary prime number theory. This includes Dirichlet’s theorem on primes in prescribed arithmetic progressions, the Brun sieve, and the important Erdős- Selberg proof of the prime number theorem. The text also departs from others on the subject by covering areas such as Gauss’s theory of cyclotomy, Hilbert’s solution to Waring’s problem, and modern work on perfect numbers. The text is complemented by more than 200 exercises, many going well beyond surface level, as well as 400 references. The text’s progression allows readers to begin solving interesting problems immediately, and the author sees the book as serving as a gateway into mathematical research for many readers. There are few prerequisites for the reader of this text, although the arguments are written for someone with some mathematical sophistication, allowing the overarching structure of the proofs to appear more clearly. This text is ideal for a second course on elementary number theory, while offering a number of gems that students and research mathematicians both will be able to appreciate. READERSHIP: Undergraduates, graduate students, and research mathematicians interested in number theory.

2009; 303 pp.; hardcover; ISBN: 978-0-8218-4880-7; List US$62; AMS members US$50; Order code: MBK/68

Order Online | www.ams.org/bookstore Featured FeatureD Selections Selections

Poincaré’s Legacies, Part I and Part 2 pages from year two of a mathematical blog

Terence Tao, University of California, Los Angeles, CA

The semiformal medium of research blogging has allowed for widespread communication of folklore in mathematics that was once shared only with a fortunate few. These books, the second- year posts on Terence Tao’s research blog, offer accessible insights from arguably the most famous mathematician of his time. The blog postings and course texts offer uncommon insight into how Tao thinks about his subject. Tao not only is able to produce sometimes startling theorems, but he also can explain his work and where it originates. These texts are ideal for graduate students and research mathemati- READERSHIP: Graduate cians interested in broad exposure to mathematical topics. students and research mathematicians interested in mathematics The first volume, covering blog posts in 2008, focuses on ergodic theory, combinatorics and in general with a focus on ergodic number theory. Chapter 2 consists of lecture notes from Tao’s course on topological dynamics theory, combinatorics, and and ergodic theory. By means of various correspondence principles, recurrence theorems about number theory. dynamical systems are used to prove some deep theorems in combinatorics and other areas of 2009; 293 pp.; softcover; ISBN: mathematics. The text includes a clever proof of Szemerédi’s Theorem. 978-0-8218-4883-8; List US$39; AMS members US$31; Order The self-contained lectures focus on the big picture rather than technical details. Other topics code: MBK/66 addressed in this volume include recent developments in additive prime number theory, as well as expository articles on subjects such as the law of large numbers and the Lucas-Lehmer test for Mersenne primes. The second volume, covering blog posts in 2008, focuses on geometry, topology and partial differential equations. The major part of the book consists of lecture notes from Tao’s course on the Poincaré conjecture and its recent spectacular solution by Perelman. The course incorporates a review of many of the basic concepts and results needed from Riemannian geometry and, to a lesser extent, from parabolic partial differential equations. The self-contained lectures focus on the big picture rather than technical details. Other topics addressed in this volume include gauge theory, the Kakeya needle problem, and the Black-Scholes equation.

READERSHIP: Graduate students and research mathematicians interested in mathematics in general with a focus on geometry, topology, and partial differential equations. 2009; 292 pp.; softcover; ISBN: 978-0-8218-4885-2; List US$39; AMS members US$31; Order code: MBK/67

Structure and Randomness pages from year one of a mathematical blog

Terence Tao, University of California, Los Angeles, CA

Selections from a mathematical blog that offer rare insight into how a great mathematician thinks about his subject 2008; 298 pp.; softcover; ISBN: 978-0-8218-4695-7; List US$35; AMS members US$28; Order code: MBK/59 10

Order by Phone | 1-401-455-4000 or 1-800-321-4267 Featured FeatureD Selections Selections

Random Matrix Theory: Invariant Ensembles and Universality 18 PERCY DEIFT Percy Deift, Courant Institute of Mathematical Sciences, New York University, NY, and Dimitri Gioev, DIMITRI GIOEV University of Rochester, NY, and Wilshire Associates Inc., Santa Monica, CA Random Matrix Theory: In this book, authors who have influenced the development of rigorous mathematical analyses applied to a Invariant Ensembles range of physical models present a unified derivation of the mathematical theory of the three classical types of and Universality invariant random matrix ensembles: orthogonal, unitary and symplectic. The first author’s earlier book on the subject looked only at unitary ensembles, but this book focuses mainly on orthogonal and symplectic ensembles. Based in part on graduate courses given by the authors at the Courant Institute and the University of Rochester, the book follows the approach of Tracy and Widom in its opening section. Yet the exposition also includes additional material, such as facts from functional analysis and the theory of Pfaffians. The book’s main result is a proof of universality for orthogonal and symplectic ensembles corresponding to generalized Gaussian type weights. First author Percy Deift’s overall contributions include collaborative efforts in constructing some of the most powerful tools of asymptotic analysis that are available today. His honors include the Special Creativity Award from the National Science Foundation. This book will prove to be a valuable reference to anyone with some background in complex analysis, probability theory and linear algebra, as well as an interest in the mathematical foundations of random matrix theory. READERSHIP: Graduate students and research mathematicians interested in mathematical foundations of random matrix theory. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University. Courant Lecture Notes, Volume 18 2009; 217 pp.; softcover; ISBN: 978-0-8218-4737-4; List US$33; AMS members US$26; Order code: CLN/18

An Introduction to Theoretical Fluid Mechanics 19 STEPHEN CHILDRESS Stephen Childress, New York University, Courant Institute of Mathematical Sciences, NY

Many of the crowning achievements in the area of fluid dynamics have been motivated by a central problem of An Introduction the classical theory: the subtle relation between an ideal fluid and a real fluid of small viscosity. The author of to Theoretical these notes for a graduate course in introductory classical fluid mechanics keeps these issues at the forefront of Fluid Mechanics this work, a text that illustrates the mathematical methods of classical fluid dynamics. The book focuses on the kinematics and dynamics of incompressible inviscid and Newtonian viscous fluids, but also includes some material on compressible flow. Some attention is paid to the problem of locomotion in fluids, because it offers an interesting example in which both Eulerian and Lagrangian methods play a role. This material for an introductory course includes a relatively small number of model problems in order to convey the flavor of the subject without excessive analysis. The author believes a course in fluid mechanics should be presented as a beautiful, practical subject, involving a moving continuum whose deformations are determined by certain natural physical laws. This book is designed to be used for a one-semester graduate course in introductory classical fluid mechanics. This introduction to the theory is intended to prepare students for more specialized courses in fluid mechanics. READERSHIP: Graduate students and research mathematicians interested in fluid mechanics. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University. Courant Lecture Notes, Volume 19 2009; 201 pp.; softcover; ISBN: 978-0-8218-4888-3; List US$31; AMS members US$25; Order code: CLN/19

Order Online | www.ams.org/bookstore Featured Selections

Inevitable Randomness in Discrete Mathematics

Volume 49 József Beck, Rutgers, The State University of New Jersey, Piscataway, NJ

Mathematics is highly effective for generalizing specific cases to establish abstract theories, but often has little Inevitable Randomness in Discrete Mathematics to say when faced with highly complex systems. The purpose of this book is to supply examples, with rigorous proofs, of this complexity law: Discrete systems are either “simple” or exhibit “advanced pseudorandomness”, and József Beck a priori probabilities often exist even when there is no intrinsic symmetry. The book is divided into three parts, with the first being an essay on the so-called Solid-Liquid-Gas Conjecture. The second section is made up partly of new results and partly of a survey of real game theory, and the third section offers new results with proofs about graph games, supporting the Solid-Liquid-Gas Conjecture. The book seeks to instill an understanding of randomness and complexity, but with an approach to complexity that differs from the study of very general classes in computational complexity theory. The author, who has been honored by the Hungarian Academy of Sciences for his research in discrete mathematics, studies interesting concrete systems that can offer a new angle on the mystery of complexity. The book’s self-contained approach makes it accessible to a wide audience, including graduate students and research mathematicians interested in discrete mathematics, combinatorics and number theory. This type of general essay with proofs about discrete mathematics is rarely seen in the field. READERSHIP: Graduate students and research mathematicians interested in discrete mathematics, combinatorics, and number theory. University Lecture Series, Volume 49 2009; 250 pp.; softcover; ISBN: 978-0-8218-4756-5; List US$59; AMS members US$47; Order code: ULECT/49

Zeros of Gaussian Analytic Functions and Determinantal Point Processes

J. Ben Hough, HBK Capital Management, New York, NY, Manjunath Krishnapur, Indian Institute of Science, Bangalore, India, Yuval Peres, Microsoft Research, Redmond, WA, and Bálint Virág, University of Toronto, ON, Canada

Point processes, or random configurations of points in space, have been studied in mathematics, statistics and physics for decades. While much emphasis in mathematics has been on the Poisson process, this book offers a close examination of zeros of Gaussian analytic functions (GAFs) and determinantal processes, as well as the intersection of these classes. The book opens with a look at how zeros of a random polynomial differ from independently picked points, followed by definitions of basic notions such as point processes and their joint intensities. Chapter 2 introduces the theory of GAFs, and Chapter 4 introduces determinantal processes; these have been studied primarily in mathematical physics. Chapter 5 examines the known link between zeros of GAFs and determinantal processes. The treatment in this book emphasizes locating independence in point processes. Invariance of considered point processes under natural transformation groups is a unifying theme. While the book presents a primer on modern techniques on the interface of probability and analysis, it also analyzes a wealth of determinantal processes of intrinsic interest. READERSHIP: Graduate students and research mathematicians interested in random processes and their relations to complex analysis. University Lecture Series, Volume 51 2009; 151 pp.; softcover; ISBN: 978-0-8218-4373-4; List US$39; AMS members US$31; Order code: ULECT/51

Order by Phone | 1-401-455-4000 or 1-800-321-4267 TEXTBOOK

TEXTBOOKS FROM THE AMS PureUndergraduate and Applied Texts Series

The volumes in this series are intended for undergraduate post-calculus courses and, in some cases, will provide applications in engineering and applied mathematics. The books are characterized by excellent exposition and maintain the highest standards of scholarship. This series was founded by the highly respected mathematician and educator, Paul J. Sally, Jr. (ISSN 1943-9334) Hardcover.

w Instructor’s Manual Available w Instructor’s Manual Available Introduction to Analysis Advanced Calculus Geometry for College Fifth Edition Second Edition Students Edward D. Gaughan, New Mexico Patrick M. Fitzpatrick, University I. Martin Isaacs, University of State University, Las Cruces, NM of Maryland, College Park, MD Wisconsin, Madison, WI Volume 1; 1998; 240 pages; Hardcover; ISBN: Volume 5; 2006; 590 pages; Hardcover; ISBN: Volume 8; 2001; 222 pages; Hardcover; ISBN: 978-0-8218-4787-9; List US$62; AMS mem- 978-0-8218-4791-6; List US$82; AMS mem- 978-0-8218-4794-7; List US$62; AMS members US$50; Order code AMSTEXT/1 bers US$66; Order code AMSTEXT/5 bers US$50; Order code AMSTEXT/8

w Instructor’s Manual Available w Instructor’s Manual Available Abstract Algebra w Student Manual Available Numerical Analysis Ronald Solomon, Ohio State Probability: The Science of Mathematics of Scientific University, Columbus, OH Uncertainty Computing, Third Edition Volume 9; 2003; 227 pages; Hardcover; ISBN: David Kincaid and Ward Cheney, with Applications to 978-0-8218-4795-4; List US$62; AMS mem- University of Texas at Austin, TX Investments, Insurance, and bers US$50; Order code AMSTEXT/9 Engineering Volume 2; 2002; 788 pages; Hardcover; ISBN: 978-0-8218-4788-6; List US$89; AMS mem- Michael A. Bean Beginning Topology bers US$71; Order code AMSTEXT/2 Volume 6; 2001; 448 pages; Hardcover; ISBN: 978-0-8218-4792-3; List US$72; AMS mem- Sue E. Goodman, University of bers US$58; Order code AMSTEXT/6 North Carolina, Chapel Hill, NC w Instructor’s Manual Available Volume 10; 2005; 236 pages; Hardcover; ISBN: w Student Manual Available 978-0-8218-4796-1; List US$62; AMS mem- A Discrete Transition to The Mathematics of bers US$50; Order code AMSTEXT/10 Advanced Mathematics Finance Bettina Richmond and Thomas Modeling and Hedging Richmond, Western Kentucky Victor Goodman and Joseph University, Bowling Green, KY Stampfli, Indiana University, Volume 3; 2004; 424 pages; Hardcover; ISBN: Bloomington, IN 978-0-8218-4789-3; List US$72; AMS mem- Volume 7; 2001; 250 pages; Hardcover; ISBN: bers US$58; Order code AMSTEXT/3 978-0-8218-4793-0;TEXTBOOK List US$62; AMS members US$50; Order code AMSTEXT/7 Fourier Analysis and Its Applications TEXTBOOKS The AMS publishes many high-quality Gerald B. Folland, University of FROM THE AMS books for use in the classroom. To Washington, Seattle, WA view a comprehensive list of our best-selling textbooks, please visit Volume 4; 1992; 433 pages; Hardcover; ISBN: www.ams.org/bookstore/textbooks. Most of the titles are 978-0-8218-4790-9; List US$72; AMS mem- designed as undergraduate or graduate texts but are also suitable for bers US$58; Order code AMSTEXT/4 recommended and/or supplemental course reading. Request a desk or exam copy by visiting www.ams.org/bookstore/exam-desk-request.

www.ams.org/bookstore 1-800-321-4AMS (4267), in the U. S. and Canada, or 1-401-455-4000 (worldwide); fax:1-401-455-4046; email: [email protected]. American Mathematical Society, 201 Charles Street, Providence, RI 02904-2294 USA Analysis NEW TITLES

CONTEMPORARY by Subject Area MATHEMATICS 4 9 3 Quadratic Forms— Interactions of Classical and Numerical Algebra, Arithmetic, Algebra and Algebraic and Geometry Algebraic Geometry Ricardo Baeza Wai Kiu Chan Geometry Detlev W. Hoffmann Daniel J. Bates, Colorado State University, Fort Collins, CO, Rainer Schulze-Pillot Editors GianMario Besana, DePaul University, Chicago, IL, Sandra Quadratic Forms—Algebra, Arithmetic, and Di Rocco, Kungliga Tekniska Högskolan, Stockholm, Sweden,

American Mathematical Society Geometry and Charles W. Wampler, General Motors Research and Development, Warren, MI, Editors Ricardo Baeza, University of Talca, Talca, Chile, Wai Kiu Chan, Wesleyan University, Middletown, CT, Detlev W. This volume contains the proceedings of the conference on CONTEMPORARY Hoffmann, University of Nottingham, England, and Rainer Interactions of Classical and Numerical Algebraic Geometry, MATHEMATICS Schulze-Pillot, Universitat des Saarlandes, Saarbruecken, held May 22–24, 2008, at the University of Notre Dame, in 4 9 7 Germany, Editors Vertex Operator honor of the achievements of Professor Andrew J. Sommese. Algebras and While classical algebraic geometry has been studied for Related Areas This volume presents a collection of articles that are based hundreds of years, numerical algebraic geometry has only Maarten Bergvelt on talks delivered at the International Conference on the Gaywalee Yamskulna Wenhua Zhao Algebraic and Arithmetic Theory of Quadratic Forms held in recently been developed. Due in large part to the work of Editors Frutillar, Chile in December 2007. Andrew Sommese and his collaborators, the intersection of these two fields is now ripe for rapid advancement. The The theory of quadratic forms is closely connected with American Mathematical Society primary goal of both the conference and this volume is to a broad spectrum of areas in algebra and number theory. foster the interaction between researchers interested in clas- The articles in this volume deal mainly with questions from sical algebraic geometry and those interested in numerical the algebraic, geometric, arithmetic, and analytic theory of methods. quadratic forms, and related questions in algebraic group theory and algebraic geometry. READERSHIP: Graduate students and research mathematicians interested in algebraic geometry, numerical methods, READERSHIP: Graduate students and research mathemati- and applications in engineering. cians interested in quadradic forms (and their applications in Contemporary Mathematics, Volume 496 algebra), number theory, and algebraic geometry. 2009; 362 pp.; softcover; ISBN: 978-0-8218-4746-6; List US$105; AMS Contemporary Mathematics, Volume 493 members US$84; Order code: CONM/496 2009; 408 pp.; softcover; ISBN: 978-0-8218-4648-3; List US$115; AMS members US$92; Order code: CONM/493 Vertex Operator Algebras and Related Areas Tropical and Idempotent Mathematics Maarten Bergvelt, University of Illinois at Urbana- Champaign, IL, and Gaywalee Yamskulna and Wenhua G. L. Litvinov, Independent University of Moscow, Russia, Zhao, Illinois State University, Normal, IL, Editors and S. N. Sergeev, University of Birmingham, United Kingdom, Editors Vertex operator algebras were introduced to mathematics in the work of Richard Borcherds, Igor Frenkel, James Lepowsky This volume is a collection of papers from the International and Arne Meurman as a mathematically rigorous formulation Conference on Tropical and Idempotent Mathematics, held in of chiral algebras of two-dimensional conformal field theory. Moscow, Russia in August 2007. This is a relatively new branch The aim was to use vertex operator algebras to explain and of mathematical sciences that has been rapidly developing and prove the remarkable Monstrous Moonshine conjectures in gaining popularity over the last decade. group theory. The theory of vertex operator algebras has now Tropical mathematics can be viewed as a result of the Maslov grown into a major research area in mathematics. dequantization applied to “traditional” mathematics over These proceedings contain expository lectures and research fields. Importantly, applications in econophysics and statistical papers presented during the international conference on mechanics lead to an explanation of the nature of financial Vertex Operator Algebras and Related Areas, held at Illinois crises. Another original application provides an analysis of State University in Normal, IL, from July 7 to July 11, 2008. instabilities in electrical power networks. The main aspects of this conference were connections and Idempotent analysis, tropical algebra, and tropical geom- interactions of vertex operator algebras with the following etry are the building blocks of the subject. Contributions areas: conformal field theories, quantum field theories, Hopf to idempotent analysis are focused on the Hamilton-Jacobi algebra, infinite-dimensional Lie algebras, and modular forms. semigroup, the max-plus finite element method, and on This book will be useful for researchers as well as for graduate the representations of eigenfunctions of idempotent linear students in mathematics and physics. Its purpose is not only operators. Tropical algebras, consisting of plurisubharmonic to give an up-to-date overview of the fields covered by the functions and their germs, are examined. The volume also conference, but also to stimulate new directions and discov- contains important surveys and research papers on tropical eries by experts in the areas. linear algebra and tropical convex geometry. READERSHIP: Graduate students and research mathemati- READERSHIP: Graduate students and research mathematicians interested in vertex operator algebras and its relations cians interested in modern mathematics, including tropical to infinite-dimensional Lie algebra, quantum field theory, and methods and their applications. modular forms. Contemporary Mathematics, Volume 495 14 Contemporary Mathematics, Volume 497 2009; 382 pp.; softcover; ISBN: 978-0-8218-4782-4; List US$105; AMS 2009; 227 pp.; softcover; ISBN: 978-0-8218-4840-1; List US$79; AMS members US$84; Order code: CONM/495 members US$63; Order code: CONM/497

Order by Phone | 1-401-455-4000 or 1-800-321-4267 Algebra and Algebraic Geometry

Volume 47

C CRM R PROCEEDINGS & M Also available in this subject LECTURE NOTES Groups and Symmetries Centre de Recherches Mathématiques Montréal From Neolithic Scots to John McKay Groups and Symmetries Algebra: Chapter 0 From Neolithic Scots John Harnad, Concordia University, Montreal, QC, Canada, to John McKay and Pavel Winternitz, Université de Montréal, Montreal, , Florida State University, Tallahassee, FL John Harnad Paolo Aluffi Pavel Winternitz QC, Canada, Editors Graduate Studies in Mathematics, Volume 104 Editors 2009; 713 pp.; hardcover; ISBN: 978-0-8218-4781-7; List US$89; AMS American Mathematical Society This volume contains papers presented at a conference held in members US$71; Order code: GSM/104 April 2007 at the CRM in Montreal honouring the remarkable contributions of John McKay over four decades of research. Papers by invitees who were unable to attend the conference FIELDS INSTITUTE Applied Linear Algebra COMMUNICATIONS are also included. The Decoupling Principle, Second Edition THE FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES The papers cover a wide range of topics, including group Motives and theory, symmetries, modular functions, and geometry, with Lorenzo Sadun, University of Texas, Austin, TX Algebraic Cycles A Celebration in Honour of particular focus on two areas in which John McKay has made 2008; 371 pp.; hardcover; ISBN: 978-0-8218-4441-0; List US$59; AMS Spencer J. Bloch pioneering contributions: “Monstrous Moonshine” and the members US$47; Order code: MBK/50 Rob de Jeu James D. Lewis “McKay Correspondence”. This book will be a valuable refer- Editors ence for graduate students and researchers interested in these American Mathematical Society The Fields Institute and related areas and serve as a stimulus for new ideas. A (Terse) Introduction to Linear Algebra for Research in Mathematical Sciences Graduate students and research mathema- READERSHIP: Yitzhak Katznelson, Stanford University, CA, and Yonatan ticians interested in group theory, symmetries, modular R. Katznelson, University of California, Santa Cruz, CA functions, and geometry. Student Mathematical Library, Volume 44 Titles in this series are co-published with the Centre de Recherches 2008; 215 pp.; softcover; ISBN: 978-0-8218-4419-9; List US$35; AMS Mathématiques. members US$28; Order code: STML/44 CRM Proceedings & Lecture Notes, Volume 47 2009; 366 pp.; softcover; ISBN: 978-0-8218-4481-6; List US$125; AMS members US$100; Order code: CRMP/47 Council for African American Researchers in the Mathematical Sciences: Volume V Motives and Algebraic Cycles Alfred G. Noël, University of Massachusetts, Boston, MA, Donald R. King, Northeastern University, Boston, A Celebration in Honour of Spencer J. Bloch MA, Gaston M. N’Guérékata, Morgan State University, Rob de Jeu, Vrije Universiteit, Amsterdam, The Netherlands, Baltimore, MD, and Edray H. Goins, Purdue University, and James D. Lewis, University of Alberta, Edmonton, AB, West Lafayette, IN, Editors Canada, Editors Contemporary Mathematics, Volume 467 2008; 152 pp.; softcover; ISBN: 978-0-8218-4457-1; List US$59; AMS Spencer J. Bloch has, and continues to have, a profound members US$47; Order code: CONM/467 influence on the subject of Algebraic K-Theory, Cycles and Motives. This book, which is comprised of a number of independent research articles written by leading experts in Finite Fields and Applications the field, is dedicated in his honour, and gives a snapshot of the current and evolving nature of the subject. Some of the Gary L. Mullen, Pennsylvania State University, University articles are written in an expository style, providing a perspec- Park, PA, and Carl Mummert, University of Michigan, Ann tive on the current state of the subject to those wishing to Arbor, MI learn more about it. Others are more technical, representing This volume is published in cooperation with the Mathematics Advanced Studies Seminars. new developments and making them especially interesting to researchers for keeping abreast of recent progress. Student Mathematical Library, Volume 41 2007; 175 pp.; softcover; ISBN: 978-0-8218-4418-2; List US$35; AMS READERSHIP: Graduate students and research math- members US$28; Order code: STML/41 ematicians interested in algebraic geometry, Hodge theory, K-theory, Motives, and algebraic cycles. Titles in this series are co-published with the Fields Institute for Finite Group Theory Research in Mathematical Sciences (Toronto, Ontario, Canada). I. Martin Isaacs, University of Wisconsin–Madison, WI Fields Institute Communications, Volume 56 Graduate Studies in Mathematics, Volume 92 2009; 336 pp.; hardcover; ISBN: 978-0-8218-4494-6; List US$114; AMS 2008; 350 pp.; hardcover; ISBN: 978-0-8218-4344-4; List US$59; AMS members US$91; Order code: FIC/56 members US$47; Order code: GSM/92

Positive Polynomials and Sums of Squares Murray Marshall, University of Saskatchewan, Saskatoon, SK, Canada 15 Mathematical Surveys and Monographs, Volume 146 2008; 187 pp.; hardcover; ISBN: 978-0-8218-4402-1; List US$65; AMS members US$52; Order code: SURV/146

Order Online | www.ams.org/bookstore Analysis Applications Analysis

CONTEMPORARY The Shortest Path Problem MATHEMATICS Applications 4 9 2 Ninth DIMACS Implementation Challenge Mathematics, Developmental Mathematics, Developmental Biology and Camil Demetrescu, Sapienza Universitá di Roma, Rome, Biology and Tumour Growth Italy, Andrew V. Goldberg, Microsoft Research - Silicon Tumour Growth Valley, Mountain View, CA, and David S. Johnson, AT&T Fernando Giráldez Fernando Giráldez, Universitat Pompeu Fabra, Barcelona, Miguel A. Herrero Labs - Research, Florham Park, NJ, Editors Editor Spain, and Miguel A. Herrero, Universidad Complutense, Madrid, Spain, Editors Shortest path problems are among the most fundamental American Mathematical Society combinatorial optimization problems with many applica- Developmental biology and tumour growth are two important tions, both direct and as subroutines. They arise naturally areas of current research where mathematics increasingly in a remarkable number of real-world settings. A limited provides powerful new techniques and insights. The unfolding DIMACS list includes transportation planning, network optimization, Series in Discrete Mathematics complexity of living structures from egg to embryo gives rise and Theoretical Computer Science packet routing, image segmentation, speech recognition, Volume 74 to a number of difficult quantitative problems that are ripe for The Shortest document formatting, robotics, compilers, traffic information mathematical models and analysis. Understanding this early Path Problem systems, and dataflow analysis. Shortest path algorithms have Ninth DIMACS development process involves the study of pattern formation, Implementation been studied since the 1950’s and still remain an active area Challenge which mathematicians view through the lens of dynamical of research. Camil Demetrescu systems. This book addresses several issues in developmental Andrew V. Goldberg David S. Johnson This volume reports on the research carried out by partici- Editors biology, including Notch signalling pathway integration and mesenchymal compartment formation. pants during the Ninth DIMACS Implementation Challenge, which led to several improvements of the state of the art in American Mathematical Society Tumour growth is one of the primary challenges of cancer shortest path algorithms. The infrastructure developed during research. Its study requires interdisciplinary approaches the Challenge facilitated further research in the area, leading involving the close collaboration of mathematicians, biologists to substantial follow-up work as well as to better and more and physicians. The summer school addressed angiogenesis, uniform experimental standards. The results of the Challenge modelling issues arising in radiotherapy, and tumour growth included new cutting-edge techniques for emerging applica- viewed from the individual cell and the relation to a multi- tions such as GPS navigation systems, providing experimental phase-fluid flow picture of that process. evidence of the most effective algorithms in several real-world This book is suitable for researchers, graduate students, and settings. advanced undergraduates interested in mathematical methods READERSHIP: Graduate students and research mathemati- of developmental biology or tumour growth. cians interested in algorithms and combinatorial optimization READERSHIP: Advanced undergraduate students, graduate problems. students, and research mathematicians interested in the math- Co-published with the Center for Discrete Mathematics and ematical methods of developmental biology. Theoretical Computer Science beginning with Volume 8. Volumes This book is copublished by the Real Sociedad Matemática Española 1–7 were co-published with the Association for Computer and the American Mathematical Society. Machinery (ACM). Contemporary Mathematics, Volume 492 DIMACS: Series in Discrete Mathematics and Theoretical Computer Science, Volume 74 2009; 123 pp.; softcover; ISBN: 978-0-8218-4663-6; List US$49; AMS 2009; 319 pp.; hardcover; ISBN: 978-0-8218-4383-3; List US$104; AMS members US$39; Order code: CONM/492 members US$83; Order code: DIMACS/74

Imaging Microstructures Also available in this subject Mathematical and Computational Challenges Habib Ammari, Ecole Polytechnique, Palaiseau, France, and Applications Hyeonbae Kang, Inha University, Incheon, Korea, Editors Introduction to the Mathematics of This book contains the proceedings of the research conference, “Imaging Microstructures: Mathematical and Computational Finance Challenges”, held at the Institut Henri Poincaré, on June R. J. Williams, University of California, San Diego, La Jolla, 18–20, 2008. CA The problems that appear in imaging microstructures pose Graduate Studies in Mathematics, Volume 72 significant challenges to our community. The methods 2006; 150 pp.; hardcover; ISBN: 978-0-8218-3903-4; List US$39; AMS members US$31; Order code: GSM/72 involved come from a wide range of areas of pure and applied mathematics. The main purpose of this volume is to review the state-of the-art developments from analytic, numerical, and physics perspectives. Spectral Graph Theory READERSHIP: Graduate students and research mathema- Fan R. K. Chung, University of Pennsylvania, Philadelphia, ticians interested in partial differential equations, inverse PA problems, and applied mathematics. CBMS Regional Conference Series in Mathematics, Number 92 Contemporary Mathematics, Volume 494 1997; 212 pp.; softcover; ISBN: 978-0-8218-0315-8; List US$30; All Individuals US$24; Order code: CBMS/92 2009; 195 pp.; softcover; ISBN: 978-0-8218-4745-9; List US$69; AMS members US$55; Order code: CONM/494 16

Order by Phone | 1-401-455-4000 or 1-800-321-4267 Differential EquationsAnalysis

Mathematical Surveys Hyperbolic Partial Differential Equations and Monographs Differential Equations Volume 156 Nonlinear Peter D. Lax, New York University, Courant Institute, NY Dispersive Nonlinear Dispersive Equations with an appendix by Cathleen S. Morawetz Equations Titles in this series are co-published with the Courant Institute of Existence and Stability of Solitary Existence and Stability of Solitary and Periodic Mathematical Sciences at New York University. and Periodic Courant Lecture Notes, Volume 14 Travelling Wave Travelling Wave Solutions Solutions 2006; 217 pp.; softcover; ISBN: 978-0-8218-3576-0; List US$33; AMS

Jaime Angulo Pava, IME-USP, São Paulo, Brazil members US$26; Order code: CLN/14 Jaime Angulo Pava

This book provides a self-contained presentation of classical American Mathematical Society and new methods for studying wave phenomena that are Layer Potential Techniques in Spectral related to the existence and stability of solitary and periodic travelling wave solutions for nonlinear dispersive evolution Analysis equations. Simplicity, concrete examples, and applications are Habib Ammari, Ecole Polytechnique, Palaiseau, France, emphasized throughout in order to make the material easily and Hyeonbae Kang and Hyundae Lee, Inha University, accessible. The list of classical nonlinear dispersive equa- Incheon, South Korea tions studied include Korteweg-de Vries, Benjamin-Ono, and Mathematical Surveys and Monographs, Volume 153 Schrödinger equations. Many special Jacobian elliptic func- 2009; 202 pp.; hardcover; ISBN: 978-0-8218-4784-8; List US$69; AMS tions play a role in these examples. members US$55; Order code: SURV/153 The author brings the reader to the forefront of knowledge about some aspects of the theory and motivates future developments in this fascinating and rapidly growing field. Lectures on Analytic Differential Equations The book can be used as an instructive study guide as well Yulij Ilyashenko, Cornell University, Ithaca, NY, and as a reference by students and mature scientists interested in Independent University of Moscow, Russia, and Sergei nonlinear wave phenomena. Yakovenko, Weizmann Institute of Science, Rehovot, Israel READERSHIP: Graduate students and research mathemati- Graduate Studies in Mathematics, Volume 86 cians interested in nonlinear wave phenomena. 2008; 625 pp.; hardcover; ISBN: 978-0-8218-3667-5; List US$79; AMS Mathematical Surveys and Monographs, Volume 156 members US$63; Order code: GSM/86 2009; approximately 258 pp.; hardcover; ISBN: 978-0-8218-4897-5; List US$79; AMS members US$63; Order code: SURV/156 Lectures on Elliptic and Parabolic Equations in Sobolev Spaces Also available in this subject N. V. Krylov, University of Minnesota, Minneapolis, MN Graduate Studies in Mathematics, Volume 96 Foundations of Mechanics 2008; 357 pp.; hardcover; ISBN: 978-0-8218-4684-1; List US$65; AMS members US$52; Order code: GSM/96 Second Edition Ralph Abraham, University of California, Santa Cruz, CA, and Jerrold E. Marsden, California Institute of Technology, Nonlinear Dispersive Equations Pasadena, CA Local and Global Analysis AMS Chelsea Publishing, Volume 364 1978; 826 pp.; hardcover; ISBN: 978-0-8218-4438-0; List US$99; AMS Terence Tao, University of California, Los Angeles, CA members US$89; Order code: CHEL/364.H CBMS Regional Conference Series in Mathematics, Number 106 2006; 373 pp.; softcover; ISBN: 978-0-8218-4143-3; List US$55; All Individuals US$44; Order code: CBMS/106 Hamiltonian Systems and Their Integrability Perspectives in Partial Differential Michèle Audin, Institut de Recherche Mathématique Equations, Harmonic Analysis and Avancée, Université Louis Pasteur Titles in this series are co-published with Société Mathématique de Applications France. SMF members are entitled to AMS member discounts. A Volume in Honor of Vladimir G. Mazya’s 70th SMF/AMS Texts and Monographs, Volume 15 2008; 149 pp.; softcover; ISBN: 978-0-8218-4413-7; List US$55; AMS Birthday members US$44; Order code: SMFAMS/15 Dorina Mitrea and Marius Mitrea, University of Missouri, Columbia, MO, Editors Proceedings of Symposia in Pure Mathematics, Volume 79 2008; 423 pp.; hardcover; ISBN: 978-0-8218-4424-3; List US$95; AMS members US$76; Order code: PSPUM/79

Order Online | www.ams.org/bookstore GeometryAnalysis and Topology

AMS/IP Studies in Advanced Collected Papers of John Milnor Mathematics S.–T. Yau, Series Editor Geometry and Topology Lagrangian IV. Homotopy, Homology and Manifolds Intersection Floer Theory Lagrangian Intersection Floer Theory John McCleary, Vassar College, Poughkeepsie, NY, Editor Anomaly and Obstruction Anomaly and Obstruction The development of algebraic topology in the 1950’s and Kenji Fukaya Yong-Geun Oh 1960’s was deeply influenced by the work of Milnor. In this Hiroshi Ohta Parts I and II Kaoru Ono collection of papers the reader finds those original papers and Kenji Fukaya, Kyoto University, Japan, Yong-Geun Oh, some previously unpublished works. The book is divided into University of Wisconsin, Madison, WI, , Nagoya American Mathematical Society • International Press Hiroshi Ohta four parts: Homotopy Theory, Homology and Cohomology, University, Japan, and Kaoru Ono, Hokkaido University, Manifolds, and Expository Papers. Introductions to each part Sapporo, Japan provide some historical context and subsequent development. Volume 49 This is a two-volume series research monograph on the general Of particular interest are the articles on classifying spaces, the C CRM Lagrangian Floer theory and on the accompanying homo- Steenrod algebra, the introductory notes on foliations and the R PROCEEDINGS & M LECTURE NOTES A surveys of work on the Poincaré conjecture. logical algebra of filtered ∞-algebras. This book provides Centre de Recherches Mathématiques Montréal the most important step towards a rigorous foundation of the Together with the previously published volumes I–III of the New Perspectives Fukaya category in the general context. In Volume I, general and Challenges in Collected Works by John Milnor, volume IV provides a rich Symplectic Field deformation theory of the Floer cohomology is developed portion of the most important developments in geometry and Theory in both algebraic and geometric contexts. An essentially topology from those decades. Miguel Abreu A François Lalonde self-contained homotopy theory of filtered ∞-algebras and Leonid Polterovich This volume is highly recommended to a broad mathematical Editors A ∞-bimodules and applications of their obstruction-defor- American Mathematical Society audience, and, in particular, to young mathematicians who will mation theory to the Lagrangian Floer theory are presented. certainly benefit from their acquaintance with Milnor’s mode Volume II contains detailed studies of two of the main points of thinking and writing. of the foundation of the theory: transversality and orientation. The study of transversality is based on the virtual fundamental READERSHIP: Graduate students and research mathemati- chain techniques (the theory of Kuranishi structures and their cians interested in algebraic differential topology. multisections) and chain level intersection theories. A detailed Collected Works, Volume 19 analysis comparing the orientations of the moduli spaces and 2009; approximately 357 pp.; hardcover; ISBN: 978-0-8218-4475-5; List their fiber products is carried out. A self-contained account of US$79; AMS members US$63; Order code: CWORKS/19.4 the general theory of Kuranishi structures is also included in the appendix of this volume. READERSHIP: Graduate students and research mathemati- Foliations, Geometry, and Topology cians interested in symplectic geometry, low-dimensional Paul Schweitzer Festschrift topology, mirror symmetry, and string theory. Nicolau C. Saldanha, Pontificia Universidade Catolica, Rio To order individual parts/volumes or the complete set, please de Janeiro, Brazil, Lawrence Conlon, Washington University, specify the relevant order code. St. Louis, MO, Rémi Langevin, Université de Bourgogne, Titles in this series are co-published with International Press, Cambridge, MA. Dijon, France, Takashi Tsuboi, University of Tokyo, Japan, AMS/IP Studies in Advanced Mathematics, Volume 46 and Paweł Walczak, University of Lodz, Poland, Editors Part 1: 2009; 396 pp.; hardcover; ISBN: 978-0-8218-4836-4; List US$99; AMS members US$79; Order code: AMSIP/46.1 This volume represents the proceedings of the conference on Part 2: 2009; 404 pp.; hardcover; ISBN: 978-0-8218-4837-1; List US$99; Foliations, Geometry, and Topology, held August 6–10, 2007, AMS members US$79; Order code: AMSIP/46.2 in Rio de Janeiro, Brazil, in honor of the 70th birthday of Paul Set: 2009; 800 pp.; hardcover; ISBN: 978-0-8218-4831-9; List US$159; Schweitzer. The papers concentrate on the theory of foliations AMS members US$127; Order code: AMSIP/46 and related areas such as dynamical systems, group actions on low dimensional manifolds, and geometry of hypersurfaces. New Perspectives and Challenges in There are survey papers on classification of foliations and their dynamical properties, including codimension one folia- Symplectic Field Theory tions with Bott–Morse singularities. Other papers involve the Miguel Abreu, Instituto Superior Técnico, Lisbon, Portugal, relationship of foliations with characteristic classes, contact François Lalonde, Université de Montréal, QC, Canada, and structures, and Eliashberg–Mishachev wrinkled mappings. Leonid Polterovich, Tel Aviv University, Israel, Editors READERSHIP: Graduate students and research mathemati- This volume, in honor of Yakov Eliashberg, gives a panorama cians interested in foliations, geometry, and topology. of some of the most fascinating recent developments in Contemporary Mathematics, Volume 498 symplectic, contact and gauge theories. It contains research 2009; 232 pp.; softcover; ISBN: 978-0-8218-4628-5; List US$79; AMS papers aimed at experts, as well as a series of skillfully written members US$63; Order code: CONM/498 surveys accessible for a broad geometrically oriented readership from the graduate level onwards. This collection will serve as an enduring source of information and ideas for those who want to enter this exciting area as well as for experts. READERSHIP: Graduate students and research mathematicians interested in geometry and topology. Titles in this series are co-published with the Centre de Recherches 18 Mathématiques. CRM Proceedings & Lecture Notes, Volume 49 2009; 242 pp.; softcover; ISBN: 978-0-8218-4356-7; List US$115; AMS members US$92; Order code: CRMP/49

Order by Phone | 1-401-455-4000 or 1-800-321-4267 Geometry and Topology Geometry and Topology

Mathematical Surveys Parabolic Geometries I Elementary Topology and Monographs Volume 154 Parabolic Background and General Theory Problem Textbook Geometries I Background Andreas Cˇ ap, Universität Wien, Austria, and International O. Ya. Viro, Stony Brook University, NY, O. A. Ivanov, and General Theory Erwin Schrödinger Institute for Mathematical Physics, Wien, Steklov Institute of Mathematics, St. Petersburg, Russia, Andreas Cˇ ap Austria, and Jan Slovák, Masaryk University, Brno, Czech N. Yu. Netsvetaev, St. Petersburg State University, Russia, Jan Slovák Republic and V. M. Kharlamov, University Louis Pasteur, Strasbourg, Cedex, France Parabolic geometries encompass a very diverse class of 2008; 400 pp.; hardcover; ISBN: 978-0-8218-4506-6; List US$59; AMS American Mathematical Society geometric structures, including such important examples as members US$47; Order code: MBK/54 conformal, projective, and almost quaternionic structures, hypersurface type CR-structures and various types of generic distributions. The characteristic feature of parabolic geom- Geometry of Conics CONTEMPORARY etries is an equivalent description by a Cartan geometry MATHEMATICS modeled on a generalized flag manifold (the quotient of a A. V. Akopyan, and A. A. Zaslavsky, CEMI RAN, Moscow, 4 9 8 Russia Foliations, Geometry semisimple Lie group by a parabolic subgroup). and Topology Background on differential geometry, with a view towards Mathematical World, Volume 26 Paul Schweitzer Festschrift 2007; 134 pp.; softcover; ISBN: 978-0-8218-4323-9; List US$26; AMS Nicolau C. Saldanha Cartan connections, and on semisimple Lie algebras and Lawrence Conlon members US$21; Order code: MAWRLD/26 Rémi Langevi n Takashi Tsuboi their representations, which play a crucial role in the theory, Pawel Walczak is collected in two introductory chapters. The main part Editors discusses the equivalence between Cartan connections and Low-Dimensional Geometry American Mathematical Society underlying structures, including a complete proof of Kostant’s version of the Bott–Borel–Weil theorem, which is used as an From Euclidean Surfaces to Hyperbolic Knots important tool. For many examples, the complete description of the geometry and its basic invariants is worked out Francis Bonahon, University of Southern California, Los in detail. The constructions of correspondence spaces and Angeles, CA twistor spaces and analogs of the Fefferman construction This volume was co-published with the Institute for Advanced Study/Park City Mathematics Institute. are presented both in general and in several examples. The last chapter studies Weyl structures, which provide classes of Student Mathematical Library, Volume 49 2009; 384 pp.; softcover; ISBN: 978-0-8218-4816-6; List US$54; AMS distinguished connections as well as an equivalent descrip- members US$43; Order code: STML/49 tion of the Cartan connection in terms of data associated to the underlying geometry. Several applications are discussed throughout the text. Noncommutative Geometry, Quantum READERSHIP: Graduate students and research mathemati- Fields and Motives cians interested in parabolic geometry, conformal geometry, almost quaternionic structures, and CR-structures. Alain Connes, Collège de France, Paris, France, and Matilde Mathematical Surveys and Monographs, Volume 154 Marcolli, Max-Planck-Institut für Mathematik, Bonn, 2009; 628 pp.; hardcover; ISBN: 978-0-8218-2681-2; List US$120; AMS Germany members US$96; Order code: SURV/154 This book is co-published with Hindustan Book Agency (New Delhi) and is distributed worldwide, except in India, Bangladesh, Bhutan, Nepal, Sri-Lanka, and the Maldives by the American Also available in this subject Mathematical Society. Colloquium Publications, Volume 55 2008; 785 pp.; hardcover; ISBN: 978-0-8218-4210-2; List US$99; AMS Comparison Theorems in Riemannian members US$79; Order code: COLL/55 Geometry Jeff Cheeger, New York University - Courant Institute, NY, Ricci Flow and the Poincaré Conjecture and David G. Ebin, State University of New York at Stony John Morgan, Columbia University, New York, NY, and Brook, NY Gang Tian, Princeton University, NJ, and Peking University, AMS Chelsea Publishing, Volume 365 Beijing, China 1975; 161 pp.; hardcover; ISBN: 978-0-8218-4417-5; List US$35; AMS members US$32; Order code: CHEL/365.H Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA). Clay Mathematics Monographs, Volume 3 2007; 521 pp.; hardcover; ISBN: 978-0-8218-4328-4; List US$69; AMS Differential Geometry members US$55; Order code: CMIM/3 Curves – Surfaces – Manifolds, Second Edition Wolfgang Kühnel, University of Stuttgart, Germany Topics in Differential Geometry Student Mathematical Library, Volume 16 2006; 380 pp.; softcover; ISBN: 978-0-8218-3988-1; List US$51; AMS Peter W. Michor, Universität Wien, Austria, and Erwin members US$41; Order code: STML/16.R Schrödinger Institut für Mathematische Physik, Wien, Austria Graduate Studies in Mathematics, Volume 93 2008; 494 pp.; hardcover; ISBN: 978-0-8218-2003-2; List US$75; AMS members US$60; Order code: GSM/93 19

Order Online | www.ams.org/bookstore Analysis LogicAnalysis and Foundations

is clearly laid out. The book concludes with a set of open Logic and Foundations problems. Volume 50 READERSHIP: Graduate students and research mathemati- Descriptive Set Theory cians interested in logic and model theory. Categoricity Second Edition University Lecture Series, Volume 50 John T. Baldwin 2009; 235 pp.; softcover; ISBN: 978-0-8218-4893-7; List US$55; AMS Yiannis N. Moschovakis, University of California, Los members US$44; Order code: ULECT/50 Angeles, CA, and University of Athens, Greece

Descriptive Set Theory is the study of sets in separable, Also available in this subject complete metric spaces that can be defined (or constructed), and so can be expected to have special properties not

Mathematical Surveys enjoyed by arbitrary pointsets. This subject was started by and Monographs Computable Functions Volume 155 Descriptive the French analysts at the turn of the 20th century, most Set Theory prominently Lebesgue, and, initially, was concerned primarily A. Shen, Independent University of Moscow, Russia, and Second Edition with establishing regularity properties of Borel and Lebesgue N. K. Vereshchagin, Moscow State Lomonosov University, Russia Yiannis N. Moschovakis measurable functions, and analytic, coanalytic, and projective sets. Its rapid development came to a halt in the late Student Mathematical Library, Volume 19 1930s, primarily because it bumped against problems which 2003; 166 pp.; softcover; ISBN: 978-0-8218-2732-1; List US$32; AMS members US$26; Order code: STML/19 were independent of classical axiomatic set theory. The field became very active again in the 1960s, with the introduction American Mathematical Society of strong set-theoretic hypotheses and methods from logic (especially recursion theory), which revolutionized it. Borel Equivalence Relations This monograph develops Descriptive Set Theory system- Structure and Classification atically, from its classical roots to the modern “effective” Vladimir Kanovei, Institute for Information Transmission theory and the consequences of strong (especially determi- Problems, Moscow, Russia nacy) hypotheses. The book emphasizes the foundations University Lecture Series, Volume 44 of the subject, and it sets the stage for the dramatic results 2008; 240 pp.; softcover; ISBN: 978-0-8218-4453-3; List US$45; AMS (established since the 1980s) relating large cardinals and deter- members US$36; Order code: ULECT/44 minacy or allowing applications of Descriptive Set Theory to classical mathematics. The book includes all the necessary background from Discovering Modern Set Theory. I: The (advanced) set theory, logic and recursion theory. Basics READERSHIP: Graduate students and research mathemati- Winfried Just, Ohio University, Athens, OH, and Martin cians interested in set theory. especially descriptive set theory. Weese, Humboldt University, Berlin, Germany Mathematical Surveys and Monographs, Volume 155 Graduate Studies in Mathematics, Volume 8 2009; 502 pp.; hardcover; ISBN: 978-0-8218-4813-5; List US$115; AMS 1996; 210 pp.; hardcover; ISBN: 978-0-8218-0266-3; List US$43; AMS members US$92; Order code: SURV/155 members US$34; Order code: GSM/8

Categoricity Discovering Modern Set Theory. II: Set- John T. Baldwin, University of Illinois at Chicago, IL Theoretic Tools for Every Mathematician Modern model theory began with Morley’s categoricity Winfried Just, Ohio University, Athens, OH and Martin theorem: A countable first-order theory that has a unique Weese, University of Potsdam, Germany (up to isomorphism) model in one uncountable cardinal (i.e., Graduate Studies in Mathematics, Volume 18 is categorical in cardinality) if and only if the same holds 1997; 224 pp.; hardcover; ISBN: 978-0-8218-0528-2; List US$43; AMS in all uncountable cardinals. Over the last 35 years Shelah members US$34; Order code: GSM/18 made great strides in extending this result to infinitary logic, where the basic tool of compactness fails. He invented the notion of an Abstract Elementary Class to give a unifying Principles of Mathematical Logic semantic account of theories in first-order, infinitary logic and D. Hilbert and W. Ackermann with some generalized quantifiers. Zilber developed similar AMS Chelsea Publishing, Volume 69 techniques of infinitary model theory to study complex expo- 1950; 172 pp.; hardcover; ISBN: 978-0-8218-2024-7; List US$30; AMS nentiation. members US$27; Order code: CHEL/69.H This book provides the first unified and systematic exposition of this work. The many examples stretch from pure model theory to module theory and covers of Abelian vari- Simple Groups of Finite Morley Rank eties. Assuming only a first course in model theory, the Tuna Altınel, Université de Lyon 1, Villeurbanne, France, book expounds eventual categoricity results (for classes with Alexandre V. Borovik, Manchester University, England, and amalgamation) and categoricity in excellent classes. Such Gregory Cherlin, Rutgers University, Piscataway, NJ crucial tools as Ehrenfeucht–Mostowski models, Galois types, Mathematical Surveys and Monographs, Volume 145 tameness, omitting-types theorems, multi-dimensional amal- 2008; 556 pp.; hardcover; ISBN: 978-0-8218-4305-5; List US$109; AMS 20 gamation, atomic types, good sets, weak diamonds, and members US$87; Order code: SURV/145 excellent classes are developed completely and methodically. The (occasional) reliance on extensions of basic set theory

Order by Phone | 1-401-455-4000 or 1-800-321-4267 Analysis Mathematical Physics

AMS/IP Group Representations, Ergodic Theory, and Studies in Advanced Mathematics Mathematical Physics Mathematical Physics S.–T. Yau, Series Editor Extensions of the Stability Theorem Extensions of the Stability Theorem of the A Tribute to George W. Mackey of the Minkowski Space in General Minkowski Space in General Relativity Robert S. Doran, Texas Christian University, Fort Worth, TX, Relativity , University of California, Berkeley, CA, and Lydia Bieri and Nina Zipser, Harvard University, Cambridge, Calvin C. Moore Lydia Bieri MA Robert J. Zimmer, University of Chicago, IL, Editors Nina Zipser Contemporary Mathematics, Volume 449

A famous result of Christodoulou and Klainerman is the global 2008; 446 pp.; softcover; ISBN: 978-0-8218-4225-6; List US$119; AMS American Mathematical Society • International Press nonlinear stability of Minkowski spacetime. In this book, Bieri members US$95; Order code: CONM/449 and Zipser provide two extensions to this result. In the first part, Bieri solves the Cauchy problem for the Einstein vacuum equations with more general, asymptotically flat initial data, Lectures on Quantum Mechanics for and describes precisely the asymptotic behavior. In particular, Mathematics Students she assumes less decay in the power of r and one less deriva- tive than in the Christodoulou–Klainerman result. She proves L. D. Faddeev, Steklov Mathematical Institute, St. Petersburg, that in this case, too, the initial data, being globally close to the Russia, and O. A. Yakubovskiı˘ , St. Petersburg University, trivial data, yields a solution which is a complete spacetime, Russia tending to the Minkowski spacetime at infinity along any with an appendix by Leon Takhtajan geodesic. In contrast to the original situation, certain estimates Student Mathematical Library, Volume 47 in this proof are borderline in view of decay, indicating that the 2009; 234 pp.; softcover; ISBN: 978-0-8218-4699-5; List US$39; AMS conditions in the main theorem on the decay at infinity on the members US$31; Order code: STML/47 initial data are sharp. In the second part, Zipser proves the existence of smooth, global solutions to the Einstein–Maxwell equations. A nontrivial Mathematical Methods in Quantum solution of these equations is a curved spacetime with an elec- Mechanics tromagnetic field. To prove the existence of solutions to the Einstein–Maxwell equations, Zipser follows the argument and With Applications to Schrödinger Operators methodology introduced by Christodoulou and Klainerman. Gerald Teschl, University of Vienna, Austria To generalize the original results, she needs to contend with Graduate Studies in Mathematics, Volume 99 the additional curvature terms that arise due to the presence 2009; 305 pp.; hardcover; ISBN: 978-0-8218-4660-5; List US$59; AMS of the electromagnetic field F; in her case the Ricci curvature members US$47; Order code: GSM/99 of the spacetime is not identically zero but rather represented by a quadratic in the components of F. In particular the Ricci curvature is a constant multiple of the stress-energy tensor for Quantum Field Theory F. Furthermore, the traceless part of the Riemann curvature tensor no longer satisfies the homogeneous Bianchi equations A Tourist Guide for Mathematicians but rather inhomogeneous equations including components Gerald B. Folland, University of Washington, Seattle, WA of the spacetime Ricci curvature. Therefore, the second part Mathematical Surveys and Monographs, Volume 149 of this book focuses primarily on the derivation of estimates 2008; 325 pp.; hardcover; ISBN: 978-0-8218-4705-3; List US$89; AMS for the new terms that arise due to the presence of the electro- members US$71; Order code: SURV/149 magnetic field. READERSHIP: Graduate students and research mathematicians interested in general relativity. Quantum Mechanics for Mathematicians Titles in this series are co-published with International Press, , Stony Brook University, NY Cambridge, MA. Leon A. Takhtajan Graduate Studies in Mathematics, Volume 95 AMS/IP Studies in Advanced Mathematics, Volume 45 2008; 387 pp.; hardcover; ISBN: 978-0-8218-4630-8; List US$69; AMS 2009; 491 pp.; hardcover; ISBN: 978-0-8218-4823-4; List US$119; AMS members US$55; Order code: GSM/95 members US$95; Order code: AMSIP/45

Also available in this subject Statistical Mechanics Scott Sheffield, Massachusetts Institute of Technology, Cambridge, MA, and Thomas Spencer, Institute for Advanced Conformal Field Theory with Gauge Study, Princeton, NJ, Editors Symmetry Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of Kenji Ueno, Kyoto University, Japan the Mathematical Association of America (MAA) and the National Titles in this series are co-published with The Fields Institute for Council of Teachers of Mathematics (NCTM) receive a 20% discount Research in Mathematical Sciences (Toronto, Ontario, Canada). from list price. IAS/Park City Mathematics Series, Volume 16 Fields Institute Monographs, Volume 24 2009; 360 pp.; hardcover; ISBN: 978-0-8218-4671-1; List US$75; AMS 2008; 168 pp.; hardcover; ISBN: 978-0-8218-4088-7; List US$59; AMS members US$60; Order code: PCMS/16 members US$47; Order code: FIM/24 21

Order Online | www.ams.org/bookstore MEMOIRSAnalysis of the AMS

EMOIRS Algebra and Algebraic Differential Equations Discrete Mathematics and M of the American Mathematical Society

Volume 202 Number 947 Geometry Combinatorics The Creation of Strange Rock Blocks Noncommutative Curves of Non-Chaotic Attractors in Generalized Noncrossing W. Turner Genus Zero Non-Smooth Saddle-Node Partitions and Bifurcations Related to Finite Dimensional Combinatorics of Coxeter Groups American Mathematical Society Algebras Tobias H. Jäger, Universität Erlangen-Nürnberg, Germany Drew Armstrong, University of Dirk Kussin, Universität Memoirs of the American Mathematical Miami, Coral Gables, FL Paderborn, Germany Society, Volume 201, Number 945 EMOIRS Memoirs of the American Mathematical M of the 2009; 106 pp.; softcover; ISBN: 978-0-8218- American Mathematical Society Memoirs of the American Mathematical Society, Volume 202, Number 949 Volume 202 Number 950 Society, Volume 201, Number 942 4427-4; List US$66; Individual member US$40; Order code: MEMO/201/945 2009; 159 pp.; softcover; ISBN: 978-0-8218- 2009; 128 pp.; softcover; ISBN: 978-0-8218- 4490-8; List US$72; Individual member US$43; 4400-7; List US$67; Individual member US$40; Hypocoercivity Order code: MEMO/202/949 Order code: MEMO/201/942 Cédric Villani

Hypocoercivity Geometry and Topology American Mathematical Society Heat Eisenstein Series Cédric Villani, Ecole Normale Supérieure de Lyon, France on SLn(C ) Yang-Mills Connections To view more books Memoirs of the American Mathematical in this series, go to Jay Jorgenson, City College of New Society, Volume 202, Number 950 on Orientable and York, CUNY, NY, and Serge Lang 2009; 141 pp.; softcover; ISBN: 978-0-8218- Nonorientable Surfaces www.ams.org/memo 4498-4; List US$70; Individual member US$42; Memoirs of the American Mathematical Order code: MEMO/202/950 Society, Volume 201, Number 946 Nan-Kuo Ho, National Cheng-Kung 2009; 127 pp.; softcover; ISBN: 978-0-8218- University, Taiwan, ROC, and Chiu- 4044-3; List US$67; Individual member US$40; Chu Melissa Liu, Northwestern Order code: MEMO/201/946 University, Evanston, IL, and Center Manifolds for Columbia University, New York, NY Semilinear Equations Memoirs of the American Mathematical with Non-Dense Domain Society, Volume 202, Number 948 Rock Blocks 2009; 98 pp.; softcover; ISBN: 978-0-8218- and Applications to 4491-5; List US$65; Individual member US$39; W. Turner, University of Oxford, Hopf Bifurcation in Age Order code: MEMO/202/948 England Structured Models Memoirs of the American Mathematical Society, Volume 202, Number 947 Pierre Magal, Université du Havre, 2009; 102 pp.; softcover; ISBN: 978-0-8218- Le Lavre, France, and , Probability 4462-5; List US$66; Individual member US$40; Shigui Ruan Order code: MEMO/202/947 University of Miami, Coral Gables, FL Large Deviations and Memoirs of the American Mathematical Adiabatic Transitions for Society, Volume 202, Number 951 Dynamical Systems and Analysis 2009; 71 pp.; softcover; ISBN: 978-0-8218- 4653-7; List US$62; Individual member US$37; Markov Processes in Fully Order code: MEMO/202/951 Coupled Averaging On the convergence of ckf(n kx) Yuri Kifer, Hebrew University, Jerusalem, Israel István Berkes, Graz University of Memoirs of the American Mathematical Technology, Austria, and Michel Society, Volume 201, Number 944 Weber, Université Louis-Pasteur et 2009; 129 pp.; softcover; ISBN: 978-0-8218- C.N.R.S., Strasbourg, France 4425-0; List US$67; Individual member US$40; Order code: MEMO/201/944 Memoirs of the American Mathematical Society, Volume 201, Number 943 2009; 72 pp.; softcover; ISBN: 978-0-8218-4324- 6; List US$62; Individual member US$37; Order code: MEMO/201/943

Order by Phone | 1-401-455-4000 or 1-800-321-4267 American Mathematical Society

University Each book in this series focuses on an important and rapidly developing topic, and is designed to give readers the most current information on the subject area. Some books Lecture in the series originated from important lecture series given Series by outstanding mathematicians worldwide.

p-adic Geometry Complex Analysis and CR Geometry Lectures from the 2007 Giuseppe Zampieri, University of Padova, Italy

Volume 45 Arizona Winter School Volume 43; 2008; 200 pages; Softcover; ISBN: 978-0-8218-4442-7; List US$45; p-adic Geometry Matthew Baker, Georgia Institute AMS members US$36; Order code ULECT/43 Lectures from the 2007 Arizona Winter School of Technology, Atlanta, GA, Brian Matthew Baker Conrad, University of Michigan, Brian Conrad Samit Dasgupta Borel Equivalence Relations Kiran S. Kedlaya Ann Arbor, MI, Samit Dasgupta, Jeremy Teitelbaum Harvard University, Cambridge, Structure and Classification MA, Kiran S. Kedlaya, Massachusetts Vladimir Kanovei, Institute for Information Transmission Institute of Technology, Cambridge, Problems, Moscow, Russia MA, Jeremy Teitelbaum, University of Illinois at Chicago, IL, and edited by David Savitt and Volume 44; 2008; 240 pp.; softcover; ISBN: 978-0-8218-4453-3; Dinesh S. Thakur, University of Arizona, Tucson, AZ List US$45; AMS members US$36; Order code: ULECT/44

Volume 45; 2008; 203 pages; Softcover; ISBN: 978-0-8218-4468-7; List US$45; AMS members US$36; Order code ULECT/45 Residues and Duality for Projective Algebraic Computational Geometry of Positive Volume 47 Varieties Residues and Duality Definite Quadratic Forms for Projective Algebraic Ernst Kunz, University of Regensburg, Varieties Germany with the assistance of and Polyhedral Reduction Theories, Algorithms, and Ernst Kunz contributions by David A. Cox, Amherst Applications with the assistance of and contributions by David A. Cox and Alicia Dickenstein College, MA, and Alicia Dickenstein, Achill Schürmann, Otto-von-Guericke Universität Magdeburg, University of Buenos Aires, Argentina Germany Volume 47; 2008; 158 pages; Softcover; Volume 48; 2008; 147 pages; Softcover; ISBN: 978-0-8218-4735-0; ISBN: 978-0-8218-4760-2; List US$39; List US$39; AMS members US$31; Order code ULECT/48 AMS members US$31; Order code ULECT/47

Topology of Tiling Spaces Three Lectures on Commutative Algebra Lorenzo Sadun, University of Texas, Austin, TX Holger Brenner, University of Sheffield, United Kingdom, Jürgen Herzog, Universität Duisburg-Essen, Germany, Orlando Volume 46; 2008; 118 pages; Softcover; ISBN: 978-0-8218-4727-5; Villamayor, Universidad Autónoma de Madrid, Spain, and edited List US$29; AMS members US$23; Order code ULECT/46 by Juan Elias, Teresa Cortadellas Benítez, Gemma Colomé-Nin, and Santiago Zarzuela, Universitat de Barcelona, Spain

Volume 42; 2008; 190 pages; Softcover; ISBN: 978-0-8218-4434-2; List US$39; AMS members US$31; Order code ULECT/42

For more information on this series visit: www.ams.org/bookstore/ulectseries

1-800-321-4AMS (4267), in the U. S. and Canada, or 1-401-455-4000 (worldwide); fax:1-401-455-4046; email: [email protected]. American Mathematical Society, 201 Charles Street, Providence, RI 02904-2294 USA

For many more publications of interest, � visit the AMS Bookstore Analysis AMS-DISTRIBUTED AMS-Distributed Publications Publications

European Mathematical Lectures on Curves, Surfaces Hindustan Book Agency The Founders of Index and Projective Varieties Theory Society A publication of Hindustan Book A Classical View of Algebraic Agency. Distributed on an exclusive Reminiscences of and about A publication of the European basis by the AMS in North America. Mathematical Society (EMS). Geometry Atiyah, Bott, Hirzebruch, and Online bookstore rights worldwide. Distributed within the Americas by Singer, Second Edition Mauro C. Beltrametti, the American Mathematical Society. University of Genova, Italy, A First Course in Graph S.-T. Yau, Harvard University, The Cauchy Problem in and Ettore Carletti, Dionisio Theory and Combinatorics Cambridge, MA, Editor General Relativity Gallarati, and Giacomo Monti International Press Bragadin, University of Genova, Sebastian M. Cioaba˘ and 2009; 394 pp.; hardcover; ISBN: 978-1- KTH M. Ram Murty, Queen’s 57146-137-7; List US$85; AMS members Hans Ringström, Genoa, Italy US$68; Order code: INPR/54.R Royal Institute of Technology, University, Kingston, Ontario, Translated by Francis Sullivan Stockholm, Sweden Canada EMS Textbooks in Mathematics, ESI Lectures in Mathematics and Hindustan Book Agency Volume 9 Physics, Volume 6 2009; 186 pp.; hardcover; ISBN: 978-81- 2009; 506 pp.; hardcover; ISBN: 978-3- Mathematical Society of 2009; 307 pp.; softcover; ISBN: 978-3- 85931-98-2; List US$38; AMS members 03719-064-7; List US$78; AMS members 03719-053-1; List US$58; AMS members US$30; Order code: HIN/42 Japan US$62; Order code: EMSTEXT/9 US$46; Order code: EMSESILEC/6 Published for the Mathematical Number Theory and Society of Japan by Kinokuniya, Sixth International Congress Tokyo, and distributed worldwide, Denumberable Markov Applications except in Japan, by the AMS. Chains on Industrial and Applied Mathematics Proceedings of the International Generating Functions, Boundary Conferences on Number Theory Advances in Discrete Theory, Random Walks on Trees Zürich, Switzerland, July 16–20, and Cryptography Dynamical Systems 2007 Wolfgang Woess, Graz S. D. Adhikari and Saber Elaydi, Trinity University, ETH Zürich, University of Technology, Austria Rolf Jeltsch, B. Ramakrishnan, Harish- San Antonio, TX, Kazuo Switzerland and EMS Textbooks in Mathematics, , Gerhard Chandra Research Institute, Nishimura and Mitsuhiro Université de Genévé, Volume 10 Wanner, Allahabad, India, Editors Shishikura, Kyoto University, 2009; 386 pp.; hardcover; ISBN: 978-3- Switzerland, Editors Hindustan Book Agency Japan and Keio 03719-071-5; List US$68; AMS members , Nobuyuki Tose, 2009; 530 pp.; hardcover; ISBN: 978-3- 2009; 290 pp.; hardcover; ISBN: 978-81- US$54; Order code: EMSTEXT/10 University, Japan, Editors 03719-056-2; List US$148; AMS members 85931-97-5; List US$52; AMS members Advanced Studies in Pure US$118; Order code: EMSICIAM/2007 US$42; Order code: HIN/43 Mathematics, Volume 53 Essays on the Complexity of 2009; 398 pp.; hardcover; ISBN: 978-4- Continuous Problems The Statistical Mechanics of 931469-49-5; List US$65; AMS members Quantum Lattice Systems US$52; Order code: ASPM/53 Erich Novak, University of International Press Jena, Germany, Ian H. Sloan, A Path Integral Approach A publication of International University of New South Press. Distributed worldwide by the Sergio Albeverio, University American Mathematical Society. Wales, Sydney, Australia, and of Bonn, Germany, Yuri Joseph F. Traub and Henryk Kondratiev, University of Current Developments in Woz´niakowski, Columbia Bielefeld, Germany, Yuri Mathematics, 2007 University, New York, NY Kozitsky, Maria Curie- 2009; 105 pp.; hardcover; ISBN: 978-3- Sklodowska University, Lublin, Barry Mazur, Wilfried Schmid, 03719-069-2; List US$28; AMS members and Shing-Tung Yau, Harvard US$22; Order code: EMSCCP Poland, and Michael Röckner, University of Bielefeld, Germany University, Cambridge, MA, EMS Tracts in Mathematics, Volume 8 and David Jerison, Tomasz 2009; 392 pp.; hardcover; ISBN: 978-3- Mrowka, and Richard P. 03719-070-8; List US$78; AMS members Stanley, Massachusetts Institute US$62; Order code: EMSTM/8 of Technology, Cambridge, MA, Editors International Press 2009; 245 pp.; softcover; ISBN: 978-1- 57146-134-6; List US$48; AMS members US$38; Order code: INPR/82

Order by Phone | 1-401-455-4000 or 1-800-321-4267 AMS-Distributed Publications

Société Mathématique A m e r i c A n m At h e m At i c A l S o c i e t y de France A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from EXPLORE THE AMS other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list. JOIN the AMS online and enjoy discounted Faisceaux Pervers des Cycles memberships for new members, students, Évanescents des Variétés retirees, residents of developing countries, and de Drinfeld et Groupes de members of math societies around the world Cohomologie du Modèle de Deligne-Carayol www.ams.org/membership Pascal Boyer, Institut de Mathématiques de Jussieu, Paris, France Mémoires de la Société VISIT the AMS Online Bookstore and browse Mathématique de France, Number 116 our collection by subject. The Bookstore is 2009; 172 pp.; softcover; ISBN: 978- 2-85629-272-3; List US$55; Individual your source for detailed information on AMS member US$50; Order code: SMFMEM/116 publications and provides the opportunity to keep informed about feature sales. Groupes de Chow-Witt www.ams.org/bookstore Jean Fasel, ETH Zentrum, Zurich, Switzerland Mémoires de la Société Mathématique de France, Number 113 2008; 197 pp.; softcover; ISBN: 978- MEET your colleagues at upcoming AMS 2-85629-262-4; List US$68; Individual meetings and conferences, and also find out member US$61; Order code: SMFMEM/113 about other upcoming mathematical conferences Measured Quantum around the world Groupoids in Action www.ams.org/meetings Michael Enock, Institut de Mathématiques de Jussieu, Paris, France Mémoires de la Société FIND help and resources for high school, Mathématique de France, Number 114 2008; 150 pp.; softcover; ISBN: 978- undergraduate, and graduate students and their 2-85629-265-5; List US$55; Individual advisors member US$50; Order code: SMFMEM/114 www.ams.org/outreach Theory of Bergman Spaces in the Unit Ball of Cn Ruhan Zhao, SUNY, College at USE an array of tools for researchers and Brockport, NY, and Kehe Zhu, mathematical authors throughout the website SUNY at Albany, NY Mémoires de la Société Mathématique de France, Number 115 www.ams.org 2008; 103 pp.; softcover; ISBN: 978- 2-85629-267-9; List US$42; Individual member US$38; Order code: SMFMEM/115 LEARN about the latest mathematical news and perspectives by reading Math in the Media, Feature columns, and Mathematical Moments www.ams.org/public-awareness

WWW.AMS.ORG 25

Order Online | www.ams.org/bookstore Analysis INDEX Index by Author and Title by Title and Author A Chung, Fan R. K. �� 16 Extensions of the Hoffmann, Detlev W. �� 14 Abraham, Ralph �� 17 Cioaba ˘, Sebastian M. �� 24 Stability Theorem of the Hough, J. Ben �� 12 Minkowski Space in General Abreu, Miguel �� 18 Collected Papers of Relativity �� 21 Housman, David �� 9 Ackermann, W. �� 20 John Milnor �� 18 f Hyperbolic Partial Adams, Colin �� 3 Comparison Theorems in Differential Equations �� 17 Riemannian Geometry �� 19 Faddeev, L. D. �� 21 Adhikari, S. D. �� 24 Hypocoercivity �� 22 Computable Functions �� 20 Faisceaux Pervers des Cycles Advances in Discrete Évanescents des Variétés I Conformal Field Theory with Dynamical Systems �� 24 de Drinfeld et Groupes de Ilyashenko, Yulij �� 17 Gauge Symmetry �� 21 Cohomologie du Modèle de Akopyan, A. V. �� 19 Conlon, Lawrence �� 18 Deligne-Carayol �� 25 Imaging Microstructures �� 16 Albeverio, Sergio �� 24 Connes, Alain �� 19 Famous Puzzles of Great Inevitable Randomness in Algebra: Chapter 0 �� 15 Mathematicians �� 5 Discrete Mathematics �� 12 Council for African Altınel, Tuna �� 20 American Researchers in Fasel, Jean �� 25 Interactions of Classical the Mathematical Sciences: and Numerical Algebraic Aluffi, Paolo �� 15 Finite Fields and Geometry �� 14 Volume V �� 15 Applications �� 15 Ammari, Habib ��16, 17 Introduction to the Craw, Alastair �� 7 Finite Group Theory �� 15 Applied Linear Algebra �� 15 Mathematics of Finance �� 16 The Creation of Strange A First Course in Armstrong, Drew �� 22 Non-Chaotic Attractors in An Introduction to Theore- Graph Theory and tical Fluid Mechanics �� 11 Aspinwall, Paul S. �� 7 Non-Smooth Saddle-Node Combinatorics �� 24 Bifurcations �� 22 Isaacs, I. Martin �� 15 Audin, Michèle �� 17 A First Course in Current Developments in Sobolev Spaces �� 7 Ivanov, O. A. �� 19 b Mathematics, 2007 �� 24 Foliations, Geometry, and J Baeza, Ricardo �� 14 Curves and Surfaces �� 8 Topology �� 18 Jäger, Tobias H. �� 22 Baldwin, John T. �� 20 d Folland, Gerald B. �� 21 Jeltsch, Rolf �� 24 Bates, Daniel J. �� 14 Daverman, Robert J. �� 8 Foundations of Mechanics �� 17 Jerison, David �� 24 Beck, József �� 12 de Jeu, Rob �� 15 The Founders of Johnson, David S. �� 16 Beltrametti, Mauro C. �� 24 Index Theory �� 24 De Koninck, Jean-Marie �� 5 Jorgenson, Jay �� 22 Bergvelt, Maarten �� 14 Fukaya, Kenji �� 18 Deift, Percy �� 11 Just, Winfried �� 20 Berkes, István �� 22 Demetrescu, Camil �� 16 G K Besana, GianMario �� 14 Denumerable Markov Gallarati, Dionisio �� 24 Kang, Hyeonbae ��16, 17 Bieri, Lydia �� 21 Chains �� 24 Generalized Noncrossing Kanovei, Vladimir �� 20 Bonahon, Francis �� 19 Descriptive Set Theory �� 20 Partitions and Combinatorics of Coxeter Kapustin, Anton �� 7 Borel Equivalence Di Rocco, Sandra �� 14 Groups �� 22 Relations �� 20 Katznelson, Yitzhak �� 15 Differential Equations, Geometry of Conics �� 19 Borovik, Alexandre V. �� 20 Mechanics, and Katznelson, Yonatan R. �� 15 Computation �� 4 Gillman, Rick �� 9 Boyer, Pascal �� 25 Kharlamov, V. M. �� 19 Differential Geometry �� 19 Gioev, Dimitri �� 11 Bragadin, Giacomo Kifer, Yuri �� 22 Giráldez, Fernando �� 16 Monti �� 24 Dirichlet Branes and King, Donald R. �� 15 Mirror Symmetry �� 7 Goins, Edray H. �� 15 Bridgeland, Tom �� 7 Kondratiev, Yuri �� 24 Discovering Modern Set Goldberg, Andrew V. �� 16 c Theory. I: The Basics �� 20 Kozitsky, Yuri �� 24 ˇ Gross, Mark �� 7 C ap, Andreas �� 19 Discovering Modern Set Krishnapur, Manjunath �� 12 Group Representations, Carletti, Ettore �� 24 Theory. II: Set-Theoretic Krylov, N. V. �� 17 Tools for Every Ergodic Theory, and Categoricity �� 20 Mathematician �� 20 Mathematical Physics �� 21 Kühnel, Wolfgang �� 19 The Cauchy Problem in Doran, Robert S. �� 21 Groupes de Chow-Witt �� 25 Kussin, Dirk �� 22 General Relativity �� 24 Douglas, Michael R. �� 7 Groups and Symmetries �� 15 Center Manifolds for L Semilinear Equations e H Lagrangian Intersection Floer Theory �� 18 with Non-Dense Domain Ebin, David G. �� 19 Hamiltonian Systems and and Applications to Their Integrability �� 17 Lalonde, François �� 18 Hopf Bifurcation in Age Elaydi, Saber �� 24 Harnad, John �� 15 Lang, Serge �� 22 Structured Models �� 22 Elementary Topology �� 19 Heat Eisenstein Series Chan, Wai Kiu �� 14 Langevin, Rémi �� 18 Embeddings in Manifolds �� 8 on SLn(C) �� 22 Cheeger, Jeff �� 19 Large Deviations and Enock, Michael �� 25 Herrero, Miguel A. �� 16 Adiabatic Transitions for Cherlin, Gregory �� 20 26 Essays on the Complexity of Hilbert, D. �� 20 Dynamical Systems and Childress, Stephen �� 11 Continuous Problems �� 24 Markov Processes in Fully Ho, Nan-Kuo �� 22 Coupled Averaging �� 22

Order by Phone | 1-401-455-4000 or 1-800-321-4267 Index by TitleAuthor and and Author Title

Lax, Peter D. ��17 N R Tian, Gang ��19 Layer Potential Techniques Netsvetaev, N. Yu. ��19 Ramakrishnan, B. ��24 Topics in Differential in Spectral Analysis ��17 New Perspectives and Random Matrix Theory: Geometry ��19 Lectures on Analytic Challenges in Symplectic Invariant Ensembles and Tose, Nobuyuki ��24 Field Theory ��18 Universality ��11 Differential Equations ��17 Traub, Joseph F. ��24 Lectures on Curves, Surfaces N’Guérékata, Gaston M. ��15 Ricci Flow and the Poincaré Conjecture ��19 Tropical and Idempotent and Projective Varieties ��24 Nishimura, Kazuo ��24 Mathematics ��14 Ringström, Hans ��24 Lectures on Elliptic Noël, Alfred G. ��15 Tsuboi, Takashi ��18 and Parabolic Equations Riot at the Calc Exam and in Sobolev Spaces ��17 Noncommutative Curves Other Mathematically Bent Turner, W. ��22 of Genus Zero ��22 Lectures on Quantum Stories ��3 Noncommutative Geometry, u Mechanics for Rock Blocks ��22 Ueno, Kenji ��21 Mathematics Students ��21 Quantum Fields and Motives ��19 Röckner, Michael ��24 Lee, Hyundae ��17 v Nonlinear Dispersive Ros, Antonio ��8 Venema, Gerard A. ��8 Leoni, Giovanni ��7 Equations ��17 Ruan, Shigui ��22 Vereshchagin, N. K. ��20 Lewis, James D. ��15 Not Always Buried Deep ��9 S Litvinov, G. L. ��14 Vertex Operator Algebras Novak, Erich ��24 Sadun, Lorenzo ��15 and Related Areas ��14 Liu, Chiu-Chu Melissa ��22 Number Theory and Saldanha, Nicolau C. ��18 Villani, Cédric ��22 Low-Dimensional Applications ��24 Geometry ��19 Schmid, Wilfried ��24 Virág, Bálint ��12 O Schulze-Pillot, Rainer ��14 Viro, O. Ya. ��19 M Oh, Yong-Geun ��18 Segal, Graeme ��7 w Magal, Pierre ��22 Ohta, Hiroshi ��18 Sergeev, S. N. ��14 Walczak, Paweł ��18 Marcolli, Matilde ��19 On the convergence Wampler, Charles W. ��14 Marsden, Jerrold E. ��17 of ckf (nkx) ��22 Sheffield, Scott ��21 Marshall, Murray ��15 Ono, Kaoru ��18 Shen, A. ��20 Wanner, Gerhard ��24 Weber, Michel ��22 Mathematical Methods in P Shishikura, Mitsuhiro ��24 Quantum Mechanics ��21 Palais, Richard S. ��4 The Shortest Path Problem 16 Weese, Martin ��20 Mathematics, Developmental Palais, Robert A. ��4 Simple Groups of Finite Williams, R. J. ��16 Biology and Tumour Morley Rank ��20 Wilson, P.M.H. ��7 Growth ��16 Parabolic Geometries I ��19 Sixth International Congress Winternitz, Pavel ��15 Mathematics and Music ��6 Pava, Jaime Angulo ��17 on Industrial and Applied Woess, Wolfgang ��24 Mazur, Barry ��24 Peres, Yuval ��12 Mathematics ��24 Woz ´niakowski, Henryk ��24 McCleary, John ��18 Perspectives in Partial Sloan, Ian H. ��24 Differential Equations, Slovák, Jan ��19 Wright, David ��6 Measured Quantum Harmonic Analysis and Groupoids in Action ��25 Applications ��17 Spectral Graph Theory ��16 y Mesterton-Gibbons, Mike 4 Petkovic ´, Miodrag S. ��5 Spencer, Thomas ��21 Yakovenko, Sergei ��17 Michor, Peter W. ��19 Poincaré’s Legacies, Stanley, Richard P. ��24 Yakubovskiı˘, O. A. ��21 Milnor, John W. ��18 Part I ��10 Statistical Mechanics ��21 Yamskulna, Gaywalee ��14 Mitrea, Dorina ��17 Poincaré’s Legacies, The Statistical Mechanics Yang-Mills Connections Part II ��10 on Orientable and Mitrea, Marius ��17 of Quantum Lattice Pollack, Paul ��9 Systems ��24 Nonorientable Surfaces ��22 Models of Conflict Yau, S.-T. ��24 and Cooperation ��9 Polterovich, Leonid ��18 Structure and Randomness ��10 Montiel, Sebastián ��8 Positive Polynomials and z Sums of Squares ��15 Szendro ˝i, Balázs ��7 Moore, Calvin C. ��21 Zaslavsky, A. A. ��19 A Primer on the Calculus of T Moore, Gregory W. ��7 Zeros of Gaussian Variations and Optimal Takhtajan, Leon A. ��21 Analytic Functions and Morgan, John ��19 Control Theory ��4 Determinantal Point Tao, Terence ��10, 17 Moschovakis, Yiannis N. ��20 Principles of Processes ��12 Mathematical Logic ��20 A (Terse) Introduction to Zhao, Ruhan ��25 Motives and Linear Algebra ��15 Algebraic Cycles ��15 Q Zhao, Wenhua ��14 Teschl, Gerald ��21 Mrowka, Tomasz ��24 Quadratic Forms— Zhu, Kehe ��25 Algebra, Arithmetic, and Theory of Bergman Spaces Mullen, Gary L. ��15 Geometry ��14 in the Unit Ball of Cn ��25 Zimmer, Robert J. ��21 Mummert, Carl ��15 Quantum Field Theory ��21 Those Fascinating Zipser, Nina ��21 Numbers ��5 Murty, M. Ram ��24 Quantum Mechanics for 27 Mathematicians ��21

Order Online | www.ams.org/bookstore INDEXAnalysis by Series Applied Linear Algebra: The CBMS Regional Conference 495 Tropical and Idempotent EMS Textbooks in Decoupling Principle, Second Mathematics��14 Edition ��15 Series in Mathematics (CBMS) Mathematics (EMSTEXT) Each monograph offers a written account 494 Imaging Microstructures: This book series is aimed at students or Elementary Topology: of lectures given by the author as principal Mathematical and Computational professional mathematicians seeking an Problem Textbook��19 speaker at a regional conference sponsored Challenges��16 introduction into a particular field. The indi- Essays on the Complexity of by the Conference Board of the Mathematical 493 Quadratic Forms—Algebra, vidual volumes are intended to provide not Sciences and supported by the National only relevant techniques, results and their Continuous Problems��24 Science Foundation. The material in these Arithmetic, and Geometry ��14 applications, but afford insight into the moti- Famous Puzzles of Great lectures is accessible to nonspecialists. All 492 Mathematics, Developmental vations and ideas behind the theory. Suitably Mathematicians ��5 individuals receive the individual member Biology and Tumour Growth ��16 designed exercises help to master the subject price. (ISSN 0160-7642) Softcover. and prepare the reader for the study of more Not Always Buried Deep: A Second 467 Council for African American advanced and specialized literature. Course in Elementary Number NO. TITLE PAGE Researchers in the Mathematical Theory ��9 106 Nonlinear Dispersive Equations: Sciences: Volume V��15 VOL. TITLE PAGE Models of Conflict and Cooperation ��9 Local and Global Analysis ��17 449 Group Representations, Ergodic 10 Denumerable Markov Chains: Generating Functions, Poincaré’s Legacies, Part I��10 92 Spectral Graph Theory��16 Theory, and Mathematical Physics: A Tribute to George W. Boundary Theory, Random Poincaré’s Legacies, Part II ��10 Mackey ��21 Walks on Trees��24 Riot at the Calc Exam and Other Clay Mathematics 9 Lectures on Curves, Surfaces and Monographs (CMIM) Mathematically Bent Stories ��3 Courant Lecture Notes (CLN) Projective Varieties: A Classical Sixth International Congress on Each volume in the CMIM series provides a View of Algebraic Geometry��24 state-of-the-art exposition by leading mathe- This important series, co-published by Industrial and Applied maticians of an active area of current research. the AMS and the Courant Institute of Mathematics: Zürich, This series is co-published by the Clay Mathematical Sciences at New York EMS Tracts in Mathematics Switzerland, July 16–20, 2007 ��24 Mathematics Institute and the AMS. (ISSN University, offers cutting-edge research (EMSTM) 1539-6061) Hardcover; reprints in softcover. in mathematics and theoretical computer Structure and Randomness��10 science. NYU faculty and visitors have written This series includes advanced texts and Those Fascinating Numbers��5 VOL. TITLE PAGE most of the volumes, which are primarily monographs covering all fields in pure and based on graduate courses and minicourses applied mathematics. Tracts will give a reliable 4 Dirichlet Branes and Mirror introduction and reference to special fields Symmetry ��7 offered at the Institute. (ISSN 1529-9031) Advanced Studies in Pure Softcover. of current research. The books in the series Mathematics (ASPM) 3 Ricci Flow and the Poincaré will, in most cases, be authored monographs, Conjecture ��19 VOL. TITLE PAGE although edited volumes may be published if Advanced Studies in Pure Mathematics 19 An Introduction to Theoretical appropriate. contains survey articles as well as original papers of lasting interest. Each volume grows Collected Works (CWORKS) Fluid Mechanics��11 VOL. TITLE PAGE out of a series of symposia and workshops on This series presents the substantial body of 18 Random Matrix Theory: 8 The Statistical Mechanics of a specific topic of current interest. Advanced work of many outstanding mathematicians. Invariant Ensembles and Quantum Lattice Systems: A Path Studies in Pure Mathematics is published Some collections include the complete works Universality��11 for the Mathematical Society of Japan by Integral Approach ��24 of an individual, while others feature selected Kinokuniya, Tokyo. Hardcover. 14 Hyperbolic Partial Differential papers. Readers can follow the major ideas Equations ��17 VOL. TITLE PAGE and themes that developed over the course of ESI Lectures in Mathematics a given mathematician’s career. Hardcover. 53 Advances in Discrete Dynamical and Physics (EMSESILEC) Systems ��24 VOL. TITLE PAGE CRM Proceedings & Lecture The purpose of this series is to make selected Notes (CRMP) texts arising from its research programme 19.4 Collected Papers of John Milnor: better known to a wider community and easily This series encompasses conference proceed- IV. Homotopy, Homology and available to a worldwide audience. It publishes AMS Chelsea Publishing ings and lecture notes from important Manifolds ��18 lecture notes on courses given by interna- (CHEL) research conferences held at the Centre de tionally renowned experts on highly active Recherches Mathématiques at the Université Following a centuries-old tradition of building research topics. on what has gone before, mathematicians Colloquium Publications de Montréal. This series is co-published continue to mine and utilize insights and by the AMS and the Centre de Recherches VOL. TITLE PAGE (COLL) Mathématiques. (ISSN 1065-8580) Softcover. results from the classical literature. The 6 The Cauchy Problem in General mission of the AMS-Chelsea book series is Each volume in the Colloquium Publications VOL. TITLE PAGE to make some of the most important classics series contains enduring and important results Relativity ��24 that were once out of print available to new from outstanding mathematicians worldwide, 49 New Perspectives and Challenges generations of mathematicians and graduate offering the finest in scholarly mathematical in Symplectic Field Theory ��18 Fields Institute students. The series continues the tradition publishing. These incomparable works, from of the original Chelsea Publishing Company, the turn of the century to the present, provide 47 Groups and Symmetries: Communications (FIC) founded by Aaron Galuten, and contains many definitive treatment of some of mathematics’ From Neolithic Scots to This series features proceedings and lecture of its most successful and recognized titles. most significant results. (ISSN 0065-9258) John McKay ��15 notes from the activities at the Fields Institute Hardcover; reprints in softcover. for Research in Mathematical Sciences in VOL. TITLE PAGE VOL. TITLE PAGE Toronto, Ontario, Canada. The publica- 365 Comparison Theorems in DIMACS: Series in Discrete tions evolve from each year’s main program. Riemannian Geometry ��19 55 Noncommutative Geometry, Mathematics and Theoretical Interdisciplinary titles emerge from programs Quantum Fields and Motives ��19 and workshops that discuss applications of the 364 Foundations of Mechanics: Computer Science (DIMACS) mathematical sciences in science, engineering, Second Edition��17 This series includes conference and work- industry, and business. (ISSN 1069-5265) Contemporary Mathematics shop proceedings and volumes on education 69 Principles of Mathematical Hardcover. (CONM) in discrete mathematics and theoretical Logic ��20 computer science. VOL. TITLE PAGE This series of high-quality, refereed proceedings written by recognized experts in their Titles in this series are co-published with 56 Motives and Algebraic Cycles: A AMS/IP Studies in Advanced fields maintains high scientific standards. the Center for Discrete Mathematics and Celebration in Honour of Spencer Mathematics (AMSIP) Volumes draw from worldwide conferences Theoretical Computer Science beginning with J. Bloch��15 and symposia sponsored by the American Volume 8. Volumes 1-7 were co-published This series, jointly published by the AMS and Mathematical Society and other organizations. with the Association for Computer Machinery International Press, includes monographs, (ISSN 0271-4132) Softcover. (ACM), and Volume 36 was co-published Fields Institute Monographs lecture notes, collections, and conference with the National Council of Teachers of proceedings on current topics of importance VOL. TITLE PAGE Mathematics (NCTM). (ISSN 1052-1798) (FIM) This series features high-quality research in advanced mathematics. Harvard University 498 Foliations, Geometry, and Hardcover; reprints in softcover. Professor of Mathematics Shing-Tung Yau is monographs generated from the activi- Editor-in-Chief for the series. (ISSN 1089- Topology: Paul Schweitzer VOL. TITLE PAGE ties at the Fields Institute for Research in 3288) Hardcover and softcover. Festschrift ��18 74 The Shortest Path Problem: Mathematical Sciences in Toronto, Ontario, 497 Vertex Operator Algebras and Ninth DIMACS Implementation Canada. The publications evolve from each VOL. TITLE PAGE year’s main program. (ISSN 1069-5273) Related Areas ��14 Challenge ��16 46 Lagrangian Intersection Hardcover. 496 Interactions of Classical Floer Theory: Anomaly and VOL. TITLE PAGE Obstruction, Parts I and II��18 and Numerical Algebraic 28 Geometry ��14 24 Conformal Field Theory with 45 Extensions of the Stability Gauge Symmetry ��21 Theorem of the Minkowski Space in General Relativity ��21

Order by Phone | 1-401-455-4000 or 1-800-321-4267 Index by Series

Graduate Studies in International Press (INPR) Distributed by the AMS in the U.S., Canada, VOL. TITLE PAGE and Mexico. (ISSN 0249-633X) Softcover. Mathematics (GSM) These titles are published by International 79 Perspectives in Partial NO. TITLE PAGE Differential Equations, Harmonic The volumes in this series are specifically Press (Cambridge, MA). Volumes contain designed as graduate studies texts, but studies in advanced mathematics and include 116 Faisceaux Pervers des Cycles Analysis and Applications: A monographs, lecture notes, and conference are also suitable for recommended and/or Évanescents des Variétés Volume in Honor of Vladimir G. supplemental course reading. With appeal proceedings on current topics of interest. Mazya’s 70th Birthday �� 17 The International Press publications are de Drinfeld et Groupes de to both students and professors, these texts Cohomologie du Modèle de make ideal independent study resources. The distributed worldwide by the American breadth and depth of the series’ coverage Mathematical Society. Hardcover and soft- Deligne-Carayol�� 25 SMF/AMS Texts and make it an ideal acquisition for all academic cover. 115 Theory of Bergman Spaces in the Monographs (SMFAMS) n libraries that support mathematics programs. NO. TITLE PAGE Unit Ball of C �� 25 This series, co-published with the Société (ISSN 1065-7338) Hardcover. 82 Current Developments in 114 Measured Quantum Groupoids Mathématique de France (SMF), includes VOL. TITLE PAGE Mathematics, 2007 �� 24 in Action �� 25 English translations of select books originally published in French by the SMF in series such 106 Embeddings in Manifolds ��8 54.R The Founders of Index Theory: 113 Groupes de Chow-Witt �� 25 as the outstanding Cours Spécialisés. (ISSN 105 A First Course in Reminiscences of and about 1525-2302) Softcover. Atiyah, Bott, Hirzebruch, and Sobolev Spaces��7 Memoirs of the American VOL. TITLE PAGE Singer, Second Edition �� 24 104 Algebra: Chapter 0 �� 15 Mathematical Society 15 Hamiltonian Systems and Their 99 Mathematical Methods in Integrability �� 17 Mathematical Surveys and (MEMO) Quantum Mechanics: With This series is devoted to the publication of Applications to Schrödinger Monographs (SURV) research in all areas of pure and applied math- Student Mathematical Library Operators �� 21 This series of high-level monographs is ematics. Manuscripts accepted for publication (STML) 96 Lectures on Elliptic and designed to meet the need for careful exposi- are similar to those published in Transactions tions in research fields of current interest. of the American Mathematical Society and The AMS undergraduate series, the Student Parabolic Equations in Each volume gives a survey of the subject, meet the same editorial requirements. To Mathematical Library, is for books that will Sobolev Spaces�� 17 along with a brief introduction to recent qualify for publication, the manuscripts must spark students’ interests in modern math- 95 Quantum Mechanics for developments and unsolved problems. (ISSN be correct, new, significant, well-written, and ematics and increase their appreciation for research. Books published in the series Mathematicians �� 21 0076-5376) Hardcover; reprints in softcover. of interest to a substantial number of mathematicians. Each issue contains either a single emphasize original topics and approaches. VOL. TITLE PAGE 93 Topics in monograph or a group of related papers. The step from mathematical coursework to Differential Geometry �� 19 156 Nonlinear Dispersive Equations: The series is also available by subscription. mathematical research is one of the most important developments in a mathematician’s 92 Finite Group Theory�� 15 Existence and Stability of Solitary (Nos. 1-122: LC 52-42839) (ISSN 0065-9266) and Periodic Travelling Wave Softcover. career. To make the transition successfully, 86 Lectures on Analytic the student must be motivated and interested Solutions �� 17 NO. TITLE PAGE Differential Equations�� 17 in doing mathematics rather than merely 155 Descriptive Set Theory: Second 951 Center Manifolds for Semilinear learning it. They are suitable for honors 72 Introduction to the Edition �� 20 Equations with Non-Dense courses, upper-division seminars, reading Mathematics of Finance �� 16 courses, or self-study. (ISSN 1520-9121) 154 Parabolic Geometries I: Domain and Applications 69.R Curves and Surfaces: Second Background and General to Hopf Bifurcation in Age VOL. TITLE PAGE Edition ��8 Theory �� 19 Structured Models�� 22 51 Differential Equations, 18 Discovering Modern Set Theory. 153 Layer Potential Techniques in 950 Hypocoercivity�� 22 Mechanics, and Computation��4 II: Set-Theoretic Tools for Every Spectral Analysis �� 17 949 Generalized Noncrossing 50 A Primer on the Calculus of Mathematician�� 20 149 Quantum Field Theory: Partitions and Combinatorics of Variations and Optimal Control 8 Discovering Modern Set Theory. A Tourist Guide for Coxeter Groups �� 22 Theory ��4 I: The Basics �� 20 Mathematicians �� 21 948 Yang-Mills Connections on 49 Low-Dimensional Geometry: 146 Positive Polynomials and Sums Orientable and Nonorientable From Euclidean Surfaces to Hindustan Book Agency of Squares �� 15 Surfaces �� 22 Hyperbolic Knots �� 19 (HIN) 145 Simple Groups of Finite 947 Rock Blocks �� 22 47 Lectures on Quantum Mechanics Titles published by Hindustan Book Agency Morley Rank�� 20 946 Heat Eisenstein Series on for Mathematics Students �� 21 (New Delhi, India) include studies in SLn(C) 44 A (Terse) Introduction to Linear advanced mathematics, in monographs, �� 22 Algebra �� 15 lecture notes, and/or conference proceedings, Mathematical World 945 The Creation of Strange on current topics of interest. The books are Non-Chaotic Attractors in 41 Finite Fields and Applications� 15 distributed worldwide except in India by the (MAWRLD) This accessible series brings the beauty and Non-Smooth Saddle-Node 19 Computable Functions �� 20 AMS. Hardcover and softcover. Bifurcations�� 22 wonder of mathematics to the advanced high 16 Differential Geometry: NO. TITLE PAGE school student, the mathematics teacher, the 944 Large Deviations and Adiabatic Curves – Surfaces – Manifolds, scientist or engineer, and the lay reader with a 43 Number Theory and Transitions for Dynamical Second Edition�� 19 Applications: Proceedings of strong interest in mathematics. Mathematical Systems and Markov Processes in World features well-written, challenging the International Conferences Fully Coupled Averaging �� 22 expository works that illustrate the fascina- University Lecture Series on Number Theory and tion and usefulness of mathematics. (ISSN 943 On the convergence of Cryptography �� 24 1055-9426) ckf(nkx) �� 22 (ULECT)  Each book in this series focuses on an 42 A First Course in Graph Theory VOL. TITLE PAGE 942 Noncommutative Curves of and Combinatorics �� 24 important and rapidly developing topic, and 28 Mathematics and Music��6 Genus Zero: Related to Finite is designed to give readers the most current Dimensional Algebras�� 22 information on the subject area. Some books 26 Geometry of Conics �� 19 IAS/Park City Mathematics in the series originated from important lecture series given by outstanding mathematicians Series (PCMS) Mémoires de la Société Proceedings of Symposia in worldwide. (ISSN 1047-3998) Softcover. This series comprises lecture notes, graduate Pure Mathematics (PSPUM) texts, and educational material arising out Mathématique de France VOL. TITLE PAGE Each volume in this series includes papers, of the activities of the Park City Geometry (SMFMEM) many of a survey/expository nature, on a 51 Zeros of Gaussian Analytic Institute in Park City, Utah. The Institute The Mémoires de la Société Mathématique de specific active area of mathematics. These Functions and Determinantal convenes mathematicians from all sectors in France is approximately 450 pages in length papers were presented at symposia, summer Point Processes �� 12 month-long summer programs. Each Institute per year and is divided into 5 numbers. Each research institutes, and summer research features approximately five lecture series given 50 Categoricity �� 20 number is a monograph or a series of articles conferences sponsored by the American by prominent mathematicians. (ISSN 1079- on a single subject. The editorial committee Mathematical Society and other organizations. 49 Inevitable Randomness in 5634) Hardcover. has brought this publication to the forefront Summer research institutes are indicated by Discrete Mathematics�� 12 VOL. TITLE PAGE in scientific quality. This Series is sold in the SRI. (Volumes 1-5: LC 50-1183) (ISSN 0082- current year as separate issues or as a journal 0717) Hardcover; reprints in softcover. 44 Borel Equivalence Relations: 16 Statistical Mechanics �� 21 subscription. Structure and Classification �� 20

Order Online | www.ams.org/bookstore Analysis ORDERINGOrdering Information Information

ORDER ONLINE: up to member discount Email Notification of New AMS Publications www.ams.org/bookstore 20% All AMS individual members throughout ORDER BY Mail: the world and institutional members in AMS Bookstore New Title Notification is North America are eligible for discounted a service made available by the AMS for those Download an order form at membership pricing on all AMS books. who wish to receive email announcing new www.ams.org/bookstore/pspdf/orderform.pdf titles or AMS catalogs as soon as they become and send with payment enclosed to: booksTORe Plans available on the AMS Bookstore. Sign up at American Mathematical Society The AMS offers a comprehensive discount and www.ams.org/bookstore-email. P. O. Box 845904 stocking plan for qualified retail bookstores in Boston, MA 02284-5904 USA the U.S. and Canada. For further details, contact COURSE ADOPTION If using a credit card, please include the the AMS Commercial Accounts Group at AND EXAM COPIES name, number, and expiration date of the card. 1-800-321-4AMS or send email to macs-com@ . Find the right textbook for your course! ORDER BY Phone: ams.org The AMS publishes many high-quality books for For callers in the United States and Canada, Library Approval Plans use in the classroom. To view a comprehensive the Society’s toll-free number is 1-800-321- AMS library approval plans are currently offered list of our best-selling textbooks, please visit 4AMS (4267). Callers outside the U.S. and by Blackwell’s Book Services and Yankee Book www.ams.org/bookstore/textbooks. Most of the Canada, please call 1-401-455-4000. Business Peddler. titles are specifically designed as undergraduate hours are 8:00 a.m. to 5:00 p.m., Eastern Time, or graduate texts but are also suitable for Monday through Friday, except on U.S. holidays. Standing Orders recommended and/or supplemental course Standing orders are accepted for most book reading. Request a desk or exam copy by visiting When ordering by phone, series offered by the Society. Pro forma invoices www.ams.org/bookstore/exam-desk-request. please use code UP65 are sent to standing order customers prior to the publication of each new volume. Shipment is Pricing and Payment ORDER BY Fax: made upon receipt of payment. A new standing • All pricing in U.S. dollars—please remit in order at list or institutional member price entitles U.S. currency. the purchaser to acquire back volumes at a Download an order form at • Prices and publication dates are correct as of discount. This discount will apply to a one-time www.ams.org/bookstore/pspdf/orderform.pdf August 2009. purchase of ten or more back volumes in the Worldwide Fax: 1-401-455-4046 book series if the order is placed within six • Prices, special offers, and publication dates months from the date of the new standing order. are subject to change without notice. Bank Transfers Contact Member and Customer Services to • We accept orders by check, credit card, or Citizens Bank begin a new standing order. bank transfer. 1 Citizens Drive Riverside, RI 02915-4996 USA Bank ABA, Swift code, and Account numbers or other inquiries and notifications about wire transfers should be directed to Member and Customer Services at: ORDERS FROM OUTSIDE THE UNITED STATES [email protected]. Automated Clearing House (ACH) inquiries, authorization Orders worldwide are accepted online at www.ams.org/bookstore or through the following requests, and notifications should be sent to: exclusive agents: [email protected]. • Europe, Middle East, Africa: Eurospan Group Transfers should contain name of payer • Japan: Maruzen Co. Ltd. (Tokyo), Neutrino Inc. (Tokyo) (no titles please) and reason for payment • India: Hindustan Book Agency (New Delhi), India Book House (New Delhi), (pro forma number, membership dues, etc.). Segment Book Distributors (New Delhi) Fax copy of transfer and order to: 1-401- 455-4046, Attn: Member and Customer For book orders in SE Asia, China, South America, or other regions, please contact the Services Department; or send details of Member and Customer Services Department at 1-401-455-4000 or send an email to payment by email to: [email protected]; [email protected]. or mail to Member and Customer Services Department, AMS, 201 Charles Street, Providence, RI 02904-2294 USA.

Change of Address? Send an email to [email protected]

Need an order form? 30 Visit www.ams.org/bookstore/pspdf/orderform.pdf

Order by Phone | 1-401-455-4000 or 1-800-321-4267 AMS Bookstore Sales www.ams.org/bookstore Sales in all Series and in all Subjects

Featured sales include: • Annual Publisher’s Discount • Applied Mathematics • Back to School • Bestsellers • Best Sellers of the Joint Mathematics Meetings • Careers in Mathematics • Figures in History • Math Awareness Month • Summer Reading • Sales in all Series and in all Subjects

Be the first to learn about all the AMS specialty sales and discounts. Sign up for the “What’s New” email notification today: www.ams.org/bookstore-email

Please note that all discount sales are available through online orders only. They are not available to bookstores or agents.