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32 Avenue of the Americas Cover: Image from Super Fractals, by Michael Fielding Barnsley New York, NY 10013-2473 Catalog cover design by Logan Johnson & Paul Hanger Mathematics challenging offer a glimpse of deep Highlights results that engage mathematicians today, while even the easiest prompt Lectures on the Ricci readers to think about mathematics. All come with solutions, many with hints, and Flow SuperFractals most with illustrations. Whether you are Peter Topping Michael Fielding Barnsley an expert or amateur mathematician, this University of Warwick Australian National University, Canberra book will delight for a lifetime. After describing the basic properties of, SuperFractals is the long-awaited 2006/374 pp./85 line diagrams and intuition behind, the Ricci flow, core successor to Fractals Everywhere,in 87228-6/Hb/$85.00 elements of the theory are discussed, which the power and beauty of Iterated 69395-0/Pb/$34.99 including consequences of various forms Function Systems (IFS) were introduced of maximum principle, issues related to CAMBRIDGE UNIVERSITY PRESS existence theory, and basic properties of and applied to producing startling and CONGRATULATES TERENCE TAO, original images that reflect complex WINNER OF A 2006 FIELDS singularities in the flow. A detailed structures found, for example, in nature. MEDAL! exposition of Perelman’s entropy This provoked the question of whether functionals is combined with a description there is a deeper connection between of Cheeger-Gromov-Hamilton topology, geometry, IFS, and codes on the Additive Combinatorics compactness of manifolds and flows to show how a ‘tangent’ flow can be one hand and biology, DNA, and protein Terence Tao development on the other. Now, 20 years University of California, Los Angeles extracted from a singular Ricci flow. later, Barnsley brings the story up to date Van H. Vu Finally, all these threads are pulled by explaining how IFS have developed in Rutgers University, New Jersey together to give a modern proof of order to address this issue. New ideas Additive combinatorics is the theory of Hamilton’s theorem that a closed three- such as fractal tops and superIFS are counting additive structures in sets. This dimensional manifold which carries a introduced, and the classical deterministic theory has seen exciting developments metric of positive Ricci curvature is a approach is combined with probabilistic and dramatic changes in direction in spherical space form. ideas to produce new mathematics and recent years, thanks to its connections Contents: 1. Introduction; 2. Riemannian geometry algorithms that open a whole theory that with areas such as number theory, ergodic background; 3. The maximum principle; 4. could have applications in computer theory, and graph theory. This graduate- Comments on existence theory for parabolic PDE; graphics, bioinformatics, economics, signal level textbook will allow students and 5. Existence theory for the Ricci flow; 6. Ricci flow processing, and beyond. For the first time, researchers easy entry into this fascinating as a gradient flow; 7. Compactness of Riemannian these ideas are explained in book form field. Here, for the first time, the authors manifolds and flows; 8. Perelman’s W entropy functional; 9. Curvature pinching and preserved and illustrated with breathtaking pictures. bring together the many different tools curvature properties under Ricci flow; 10. Three- Contents: and ideas that are used in the modern manifolds with positive Ricci curvature and Part I. Geometries and Transformations: 1. Codes, theory, presenting them in an accessible, beyond. metrics and topologies; 2. Transformations of coherent, and intuitively clear manner, and London Mathematical Society Lecture points, sets, pictures and measures; 3. Semigroups providing immediate applications to Note Series on sets, measures and pictures; Part II. Iterated 2006/124 pp. Function Systems: 4. IFS acting on measures; 5. problems in additive combinatorics. The 68947-3/Pb/$45.00 More on IFS; Part III. Applications to Graphics: 6. power of these tools is well demonstrated Digital content production; 7. Image compression; in the presentation of recent advances 8. Super IFS. such as Szemerédi’s theorem on 2006/464 pp./250 color figures arithmetic progressions, the Kakeya 84493-2/Hb/$35.00 Percolation conjecture and Erdos distance problems, Bela Bollobás and the developing field of sum-product Oliver Riordan estimates. The text is supplemented by a Trinity College, Cambridge The Art of Mathematics large number of exercises and new Percolation theory was initiated some fifty Coffee Time in Memphis results. years ago as a mathematical framework Bela Bollobás Contents: for the study of random physical Trinity College, Cambridge Prologue; 1. The probabilistic method; 2. Sum set processes such as flow through a estimates; 3. Additive geometry; 4. Fourier analytic Can a Christian escape from a lion? How methods; 5. Inverse sumset theorems; 6. Graph disordered porous medium. It has proved quickly can a rumor spread? Can you fool theoretic methods; 7. The Littlewood-Offord to be a remarkably rich theory, with an airline into accepting oversize problem; 8. Incidence geometry; 9. Algebraic applications beyond natural phenomena baggage? Recreational mathematics is full methods; 10. Szemerédi’s theorem for k = 3; 11. to topics such as network modelling. The Szemerédi’s theorem for k > 3; 12. Long of frivolous questions where the arithmetic progressions in sumsets; Bibliography. aims of this book are twofold. First, to mathematician’s art can be brought to Cambridge Studies in Advanced present classical results in a way that is bear. But play often has a purpose. In Mathematics accessible to non-specialists. 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Exponential decay and critical probabilities - theorems of Menshikov and Aizenman & Barsky; of course, mathematics and music. 5. Uniqueness of the infinite open cluster and Contents: critical probabilities; 6. Estimating critical Preface; Introduction; Acknowledgements; 1. How to Prove It probabilities; 7. Conformal invariance - Smirnov’s Waves and harmonics; 2. Fourier theory; 3. A A Structured Approach Theorem; 8. Continuum percolation; Bibliography; mathematician’s guide to the orchestra; 4. Index; List of notation. Consonance and dissonance; 5. Scales and 2nd Edition 2006/334 pp./112 line diagrams temperaments: the fivefold way; 6. More scales Daniel J. Velleman and temperaments; 7. Digital music; 8. Synthesis; Amherst College, Massachusetts 87232-4/Hb/$75.00 9. Symmetry in music; Appendix A. Bessel “The prose is clear and cogent ... the functions; Appendix B. Equal tempered scales; exercises are plentiful and are pitched Appendix C. 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Formally it Theory of Finite Simple coverage of quantified modal logic, non- offers a very useful landscape of rigid designators, definite descriptions, recent work including novel Groups and the de-re de-dictio distinction. contributions in computational Gerhard Michler Contents: learning theory by the author and This book provides the first representation collaborators.” Introduction; 1. The system K; 2. Extensions of K; theoretic and algorithmic approach to the 3. Intensional semantics; 4. Trees for K; 5. The Notre Dame Philosophy Reviews theory of abstract finite simple groups. accessibility relation; 6. Trees for extensions of K; Contents: 7. Converting trees to proofs; 8. Adequacy of Preface; 1. Introduction; 2. Priming the pump; 3. Contents: propositional modal logics; 9 Completeness using Mainstream epistemology; 4. Counterfactual Introduction; 1. Prerequisites from group theory; canonical models; 10. The general axiom; 11. epistemology; 5. Contextual epistemology; 6. 2. Group representations and character theory; 3. Relations between the modal logics; 12. Systems Logical epistemology; 7. Computational Modular representation theory; 4. Group order for quantified modal logic; 13. Semantics for epistemology; 8. Modal operator epistemology; 9. formulas and structure theorem; 5. Permutation quantified modal logics; 14. Trees for quantified ‘Plethoric’ epistemology; Bibliography. representations; 6. Concrete character tables of modal logic; 15. The adequacy of quantified matrix groups; 7. Methods for constructing finite modal logics; 16. Completeness of quantified 2005/200 pp. simple groups; 8. Finite simple groups with proper modal logics using trees; 17. Completeness using 85789-9/Hb/$70.00 satellites; 9. Janko group J1; 10. Higman-Sims canonical models; 18. Descriptions; 19. Lambda group HS; 11. Harada group Ha; 12. Thompson abstraction. group Th; Bibliography; List of symbols; Index. 2006/472 pp. New Mathematical Monographs 86367-8/Hb/$80.00 Algebra 2006/614 pp./200 tables 68229-0/Pb/$34.99 86625-1/Hb/$145.00 Forthcoming… Grounded Consequence Handbook of Tilting for Defeasible Logic Theory Integral Closure of Aldo Antonelli Editors Ideals, Rings, and University of California, Irvine Lidia Angeleri Hügel Modules This book explores the foundations of Università degli Studi dell’Insubria, Italy defeasible logic, which explores the Dieter Happel Irena Swanson formal properties of everyday reasoning Technische Universität Chemnitz-Zwickan, Craig Huneke patterns whereby people jump to Germany University of Kansas conclusions, reserving the right to retract Henning Krause This book collects the central notions of them in the light of further information. Universität-Gesamthochschule Paderborn, integral closure and presents a unified Germany Although technical in nature, the book treatment. With many worked examples contains sections that outline basic issues The aim of this book is to present the and exercises, this book will provide by means of intuitive and simple basic concepts of tilting theory as well as graduate students and researchers in examples. the variety of applications. It contains a commutative algebra or ring theory with Contents: collection of key articles, which together an approachable introduction leading into 1. The logic of defeasible inference; 2. Cyclic form a handbook of the subject and the current literature. networks; 3. General extensions; 4. Defeasible provide both an introduction and Contents: consequence. reference for newcomers and experts Table of basic properties; Notation and basic 2005/130 pp./15 line diagrams alike. definitions; Preface; 1. What is the integral closure; 84205-0/Hb/$55.00 Contents and Contributors: 2. Integral closure of rings; 3. Separability; 4. Noetherian rings; 5. Rees algebras; 6. Valuations; 7. 1. Introduction; 2. Basic results of classic tilting Derivations; 8. Reductions; 9. Analytically theory L. Angeleri Hügel, D. Happel and H. Krause; unramified rings; 10. Rees valuations; 11. 3. Classification of representation-finite algebras Multiplicity and integral closure; 12. The conductor; and their modules T. Brüstle; 4. A spectral 13. The Briançon-Skoda theorem; 14. Two- sequence analysis of classical tilting functors S. dimensional regular local rings; 15. Computing the Brenner and M. C. R. Butler; 5. Derived categories integral closure; 16. Integral dependence of and tilting B. Keller; 6. Fourier-Mukai transforms L. modules; 17. Joint reductions; 18. Adjoints of Hille and M. Van den Bergh; 7. Tilting theory and ideals; 19. Normal homomorphisms; Appendix A. homologically finite subcategories with Selected Backlist online sale Some background material; Appendix B. Height and applications to quasihereditary algebras I. 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Central Simple Algebras Combinatorial Matrix Elements of the and Galois Cohomology Classes Representation Theory Philippe Gille Richard A. Brualdi Centre National de la Recherche Scientifique University of Wisconsin, Madison of Associative Algebras (CNRS), Paris This is the first book devoted exclusively Techniques of Representation Theory Tamás Szamuely to existence questions, constructive Volume 1 Alfréd Rényi Institute of Mathematics, Hungarian Ibrahim Assem Academy of Sciences, Budapest algorithms, enumeration questions, and other properties concerning classes of Université de Sherbrooke, Canada This book is the first comprehensive, matrices of combinatorial significance. Andrzej Skowronski modern introduction to the theory of Daniel Simson Contents: Uniwersytet Mikolaja Kopernika, Poland central simple algebras over arbitrary 1. Introduction; 2. Basic existence theorems for fields. Starting from the basics, it reaches matrices with prescribed properties; 3. The class “It was written as the basis of a major such advanced results as the Merkurjev- A(R; S) of (0,1)-matrices; 4. More on the class course introducing graduate students Suslin theorem. The book is suitable as a A(R; S) of (0,1)-matrices; 5. The class T(R) of to the representation theory of textbook for graduate students and as a tournament matrices; 6. Interchange graphs; 7. assocciative algebras. It benefits from Classes of symmetric integral matrices; 8. Convex reference for researchers working in and also reveals the sophistication polytopes of matrices; 9. Doubly stochastic now developed for the treatment of algebra, algebraic geometry, or K-theory. matrices. this material.... A great deal of Contents: Encyclopedia of Mathematics and its important mathematics has been set 1. Quaternion algebras; 2. Central simple algebras Applications out in this first volume.” and Galois descent; 3. Techniques from group 2006/554 pp./4 tables Mathematical Reviews cohomology; 4. The cohomological Brauer group; 86565-4/Hb/$110.00 5. Severi-Brauer varieties; 6. Residue maps; 7. This first part of a two-volume set offers a Milnor K-theory; 8. The Merkurjev-Suslin theorem; Forthcoming… modern account of the representation 9. Symbols in positive characteristic; Appendix: A theory of finite dimensional associative breviary of algebraic geometry; References; Index. Groups St Andrews 2005 Cambridge Studies in Advanced algebras over an algebraically closed field. Mathematics Editors The authors present this topic from the 2006/356 pp./80 exercises C. M. Campbell perspective of linear representations of 86103-9/Hb/$75.00 University of St Andrews finite-oriented graphs (quivers) and M. R. Quick homological algebra. The volume will be E. F. Robertson of great interest to graduate students Free Ideal Rings and University of St Andrews beginning research in the representation Localization in General G. C. Smith Rings University of Bath theory of algebras and to mathematicians This two-volume work contains selected from other fields. P. M. Cohn papers from the international conference Contents: University College London 0. Introduction; 1. Algebras and modules; 2. “Groups St Andrews 2005,” which was This book presents the theory of free ideal Quivers and algebras; 3. Representations and held at the University of St Andrews in rings (firs) in detail. There is also a full modules; 4. Auslander-Reiten theory; 5. Nakayama August 2005. The regular Proceedings of algebras and representation-finite group algebras; account of localization, which is treated Groups St Andrews conferences have 6. Tilting theory; 7. Representation-finite for general rings, but the features arising provided snapshots of the state of hereditary algebras; 8. Tilted algebras; 9. Directing in firs are given special attention. modules and postprojective components; A. research in group theory throughout the Contents: Appendix. Categories functors and homology. Preface; Note to the reader; Terminology, past 25 years. Earlier volumes have had a London Mathematical Society Student notations and conventions used; List of special major impact on the development of Texts notation; 0. Preliminaries on modules; 1. Principal group theory and it is anticipated that 2006/468 pp. ideal domains; 2. Firs, semifirs and the weak these volumes will be equally important. 58423-X/Hb/$90.00 algorithm; 3. Factorization; 4. 2-firs with a 58631-3/Pb/$45.00 distributive factor lattice; 5. Modules over firs and London Mathematical Society Lecture semifirs; 6. Centralizers and subalgebras; 7. Skew Note Series fields of fractions; Appendix; Bibliography and author index; Subject index. Volume 1 New Mathematical Monographs 2007/360 pp. 2006/594 pp./38 line diagrams/864 69469-8/Pb/$75.00* exercises/19 figures 85337-0/Hb/$140.00 Volume 2 2007/350 pp. 69470-1/Pb/$75.00* CALL: 1-800-872-7423 FAX ORDERS TO: (845) 353-4141 LOG ON TO: www.cambridge.org/us

6 Call 1-800-872-7423 • Fax 845-353-4141 Mathematics Depth and differential forms H. A. Hamm; 10. The and dimension formulae; 13. Fundamental Modular geometry of the versal deformation L. D. Tráng; modules for simple Lie algebras; 14. Generalized Representations of 11. 21 years of SINGULAR experiments in Cartan matrices and Kac-Moody algebras; 15. The mathematics C. Lossen and H. Schonemann; 12. classification of generalised Cartan matrices; 16 Finite Groups of Lie Type The patchworking construction in tropical The invariant form, root system and Weyl group; James E. Humphreys enumerative geometry E. Shustin; 13. Adjunction 17. Kac-Moody algebras of affine type; 18. University of Massachusetts, Amherst conditions for one-forms on surfaces in projective Realisations of affine Kac-Moody algebras; 19. three-space J. H. M. Steenbrink; 14. Sextic Some representations of symmetrisable Kac- Finite groups of Lie type encompass most surfaces with ten triple points J. Stevens; 15. Moody algebras; 20. Representations of affine of the finite simple groups. Their Some problems on Lagrangian singularities D. van Kac-Moody algebras; 21. Borcherds Lie algebras; representations and characters have been Straten; 16. Topology, geometry, and equations of Appendix. studied intensively for half a century, normal surface singularities J. Wahl. Cambridge Studies in Advanced though some key problems remain London Mathematical Society Lecture Mathematics Note Series unsolved. This is the first comprehensive 2005/650 pp./10 line diagrams 2006/408 pp. 85138-6/Hb/$80.00 treatment of the representation theory of 68309-2/Pb/$75.00 finite groups of Lie type over a field of the defining prime characteristic. Linear and Projective Contents: Representations of 1. Finite groups of Lie type; 2. Simple modules; 3. Algebra and Geometry Weyl modules and Lusztig’s conjecture; 4. Symmetric Groups Computation of weight multiplicities; 5. Other Alan F. Beardon Alexander Kleshchev aspects of simple modules; 6. Tensor products; 7. University of Cambridge University of Oregon BN-pairs and induced modules; 8. Blocks; 9. “Beardon has written a fine The representation theory of symmetric Projective modules; 10. Comparison with introductory text...[he] outlines a Frobenius kernels; 11. Cartan invariants; 12. beautiful course.” groups is one of the most beautiful, Extensions of simple modules; 13. Loewy series; MAA Reviews popular, and important parts of algebra 14. Cohomology; 15. Complexity and support with many deep relations to other areas varieties; 16. Ordinary and modular “Beardon has prepared a book that this reviewer will keep on his shelf as of mathematics, such as combinatorics, Lie representations; 17. Deligne-Lusztig characters; theory, and algebraic geometry. Kleshchev 18. The groups G2; 19. General and special linear a reference. Highly recommended.” groups; 20. Suzuki and Ree groups; Bibliography; Choice describes a new approach to the subject, Frequently used symbols; Index. Contents: based on the recent work of Lascoux, London Mathematical Society Lecture 1. Groups and permutations; 2. The real numbers; Leclerc, Thibon, Ariki, Grojnowski, Note Series 3. The complex plane; 4. Vectors in three- Brundan, and the author. This unique 2006/250 pp. dimensional space; 5. Spherical geometry; 6. book will be welcomed by graduate 67454-9/Pb/$55.00 Quaternions and isometries; 7. Vector spaces; 8. Linear equations; 9. Matrices; 10. Eigenvectors; students and researchers as a modern 11. Orthonormal bases of Euclidean space; 12. account of the subject. Singularities and Groups; 13. The Möbius group; 14. Group actions; Contents: Computer Algebra 15. Hyperbolic geometry. Introduction; Part I. Linear Representations: 1. 2005/338 pp./40 line diagrams Notations and generalities; 2. Symmetric groups I; Editors 81362-X/Hb/$90.00 3. Degenerate affine Hecke algebra; 4. First results Christoph Lossen on Hn-modules; 5. Crystal operators; 6. Character 89049-7/Pb/$39.99 Gerhard Pfister calculations; 7. Integral representations and Universität Kaiserslautern cyclotomic Hecke algebras; 8. Functors ei and fi; Lie Algebras of Finite 9. Construction of UZ + and irreducible modules; This volume surveys important topics in 10. Identification of the crystal; 11. Symmetric singularity theory, with a particular focus and Affine Type groups II; Part II. Projective representations: 12. on computational aspects of the subject. Roger Carter Generalities on superalgebra; 13. Sergeev The contributors to this volume describe University of Warwick superalgebras; 14. Affine Sergeev superalgebras; the development of various areas of This book provides a thorough 15. Integral representations and cyclotomic Sergeev algebras; 16. First results on Xn-modules; singularity theory over many years, and a mathematical treatment of the subject, 17. Crystal operators on Xn; 18. Character range of open questions are discussed. including both the Cartan-Killing-Weyl calculations for Xn; 19. Operators ei and fi; 20. Researchers in singularity theory, theory of finite dimensional simple Construction of UZ + and irreducible modules; computer algebra, or related subjects will algebras and the more modern theory of 21. Identification of the crystal; 22. Double covers; Bibliography. find that this book contains a wealth of Kac-Moody algebras. Proofs are given in Cambridge Tracts in Mathematics detail and the only prerequisite is a sound valuable information. 2005/292 pp. knowledge of linear algebra. The Contents and Contributors: 83703-0/Hb/$80.00 Preface; Invited lectures; List of participants; 1. Appendix provides a summary of the basic Aspects of Gert-Martin Greuel’s mathematical properties of each Lie algebra of finite work C. Lossen and G. Pfister; 2. Exterior algebra methods for the construction of rational surfaces and affine type. in the projective fourspace H. Abo and F.-O. Contents: Schreyer; 3. Superisolated surface singularities E. 1. Basic concepts; 2. Representations of soluble Artal Bartolo, I. Luengo and A. Melle Hernandez; and nilpotent Lie algebras; 3. Cartan subalgebras; 4. Linear free divisors and quiver representations 4. The Cartan decomposition; 5. The root systems Selected Backlist online sale R.-O. Buchweitz and D. Mond; 5. Derived and the Weyl group; 6. The Cartan matrix and the The best of the backlist is categories of modules and coherent sheaves Y.A. Dynkin diagram; 7. The existence and uniqueness available at a 20% discount, Drozd; 6. Monodromy W. Ebeling; 7. Algorithmic theorems; 8. The simple Lie algebras; 9. Some only at resolution of singularities A. Fruhbis-Kruger and G. universal constructions; 10. Irreducible modules www.cambridge.org/us/ Pfister; 8. Newton polyhedra of descriminants: a for semisimple Lie algebras; 11. Further properties promotion/math computation E. Garci a Barroso and B. Teissier; 9. of the universal enveloping algebra; 12. Character 7 www.cambridge.org/us/mathematics Mathematics Solving Polynomial Contents: Number Theory Preface; Notation; 1. Dirichlet series-I; 2. The Equation Systems II elementary theory of arithmetic functions; 3. Principles and first examples of sieve methods; 4. Macaulay’s Paradigm and Gröbner Primes in arithmetic progressions-I; 5. Dirichlet Technology series-II; 6. The prime number theorem; 7. Teo Mora Elliptic Functions Applications of the prime number theorem; 8. University of Genoa Further discussion of the prime number theorem; V. Armitage 9. Primitive characters and Gauss sums; 10. A complete survey of Gröbner bases and W. F. Eberlein Analytic properties of the zeta function and L- their applications, this book will be In its first six chapters, this text presents functions; 11. Primes in arithmetic progressions-II; essential for all workers in commutative the basic ideas and properties of the 12. Explicit formulae; 13. Conditional estimates; 14. Zeros; 15. Oscillations of error terms; algebra, computational algebra, and Jacobi elliptic functions as a historical algebraic geometry. Appendix A. The Riemann-Stieltjes integral; essay. Accordingly, it is based on the idea Appendix B. Bernoulli numbers and the Euler- Contents: of inverting integrals which arise in the MacLaurin summation formula; Appendix C. The Preface; Part III. Gauss, Euclid, Buchberger - theory of differential equations and, in gamma function; Appendix D. Topics in harmonic Elementary Gröbner Bases: 20. Hilbert; 21. Gauss; analysis. 22. Buchberger; 23. Macaulay I; 24. Gröbner I; particular, the differential equation that Cambridge Studies in Advanced 25. Gebauer and Traverso; 26. Spear; Part IV. describes the motion of a simple Mathematics Duality: 27. Noether; 28. Möller I; 29. Lazard; 30. pendulum. The later chapters present a 2006/584 pp./510 exercises/7 figures Macaulay II; 31. Gröbner II; 32. Gröbner III; 33. more conventional approach to the Möller II; Part IV. Beyond Dimension Zero: 34. 84903-9/Hb/$90.00 Gröbner IV; 35. Gianni Trager Zacharias; 36. Weierstrass functions and to elliptic Macaulay III; 37. Galligo; 38. Giusti; Bibliography; integrals, and the reader is introduced to Index. the richly varied applications of the elliptic Encyclopedia of Mathematics and its and related functions. Hilbert’s Tenth Problem Applications Contents: Diophantine Classes and Extensions 2005/782 pp. 1. The ‘simple’ pendulum; 2. Jacobian elliptic to Global Fields 81156-2/Hb/$150.00 functions of a complex variable; 3. General properties of elliptic functions; 4. Theta functions; Alexandra Shlapentokh Poincaré Duality 5. The Jacobian elliptic functions for complex k; 6. East Carolina University Introduction to transformation theory; 7. The In the late sixties Matiyasevich, building Algebras, Macaulay’s Weierstrass elliptic functions; 8. Elliptic integrals; on the work of Davis, Putnam, and 9. Applications of elliptic functions in geometry; Robinson, showed that there was no Dual Systems, and 10. An application of elliptic functions in algebra Steenrod Operations solution of the general quintic equation; 11. An algorithm to determine whether a arithmetic application of elliptic functions; 12. polynomial equation in several variables Dagmar M. Meyer Applications in mechanics and statistics and other and with integer coefficients has integer Larry Smith topics; Appendix; Bibliography. solutions. 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The authors skillfully bring together these Theory I Classical Theory Contents: ideas and apply them to problems in 1. Introduction; 2. Diophantine classes: definition invariant theory. A number of remarkable Hugh L. Montgomery and basic facts; 3. Diophantine equivalence and and unexpected interdisciplinary University of Michigan, Ann Arbor diophantine decidability; 4. Integrality at finitely connections are revealed that will interest R. C. Vaughan many primes and divisibility of order at infinitely Pennsylvania State University many primes; 5. Bound equations for number researchers in the areas of commutative fields and their consequences; 6. Units of rings of algebra, invariant theory, or algebraic Prime numbers are the multiplicative building blocks of natural numbers. W-integers of norm 1; 7. Diophantine classes over topology. number fields; 8. Diophantine undecidability of Understanding their overall influence and Contents: function fields; 9. Bounds for function fields; 10. Introduction; Part I. Poincaré Duality Quotients: especially their distribution gives rise to Diophantine classes over function fields; 11. Part II. Macaulay’s Dual Systems and Frobenius central questions in mathematics and Mazur’s conjectures and their consequences; 12. Powers: Part III. Poincaré Duality and the Steenrod physics. In particular, their finer Results of Poonen; 13. Beyond global fields; A. Recursion theory; B. Number theory; Bibliography; Algebra: Part IV. Dickson, Symmetric, and Other distribution is closely connected with the Coinvariants: Part V.The Hit Problem mod 2: Part Index. VI. Macaulay’s Inverse Systems and Applications: Riemann hypothesis, the most important New Mathematical Monographs References; Notation; Index. unsolved problem in the mathematical 2006/370 pp./18 line diagrams Cambridge Tracts in Mathematics world. 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8 Call 1-800-872-7423 • Fax 845-353-4141 Mathematics Contents: I. Heights; II. Weil heights; III. Linear tori; IV. Small points; V.The unit equation; VI. Roth’s theorem; Automorphic Forms and VII. The subspace theorem; VIII. Abelian varieties; Elementary Number IX. Neron-tate heights; X. The Mordell-Weil L-Functions for the thereom; XI. Faltings theorem; XII. The ABC- Theory in Nine Chapters Group GL(n,R) conjecture; XIII. Nevanlinna theory; XIV.The Vojta 2nd Edition conjectures; Appendix A. Algebraic geometry; Dorian Goldfeld Appendix B. Ramification; Appendix C. Geometry James J. Tattersall Columbia University, New York of numbers; Bibliography; Glossary of notation; Providence College, Rhode Island L-functions associated to automorphic Index. “Every chapter has a remarkable forms encode all classical number New Mathematical Monographs collection of exercises of various theoretic information. They are akin to 2006/668 pp./4 line diagrams/4 figures degrees of difficulty and contains a wealth of historical information, elementary particles in physics. This book 84615-3/Hb/$130.00 which makes interesting reading.” provides an entirely self-contained Mathematical Reviews introduction to the theory of L-functions Intended to serve as a one-semester in a style accessible to graduate students An Introduction to Sieve introductory course in number theory, this with a basic knowledge of classical second edition has been revised analysis, complex variable theory, and Methods and Their throughout. In particular, the field of algebra. Applications cryptography is highlighted. Contents: Alina Carmen Cojocaru Contents: Introduction; 1. Discrete group actions; 2. Princeton University, New Jersey Invariant differential operators; 3. Automorphic 1. The intriguing natural numbers; 2. Divisibility; 3. forms and L-functions for SL(2,Z); 4. Existence of M. Ram Murty Prime numbers; 4. Perfect and amicable numbers; Maass forms; 5. Maass forms and Whittaker Queen’s University, Ontario 5. Modular arithmetic; 6. Congruences of higher functions for SL(n,Z); 6. Automorphic forms and L- “This book provides a sort of unifying degree; 7. Cryptography; 8. Representations; 9. functions for SL(3,Z); 7. The Gelbert-Jacquet lift; 8. theory of sieve methods, thus Partitions; Tables; Answers to selected exercises; Bounds for L-functions and Siegel zeros; 9. The providing an indispensable resource Bibliography. Godement-Jacquet L-function; 10. Langlands for undergraduate and graduate 2005/442 pp./20 tables/200 exercises Eisenstein series; 11. Poincaré series and students.” 85014-2/Hb/$85.00 Kloosterman sums; 12. Rankin-Selberg MAA Reviews 61524-0/Pb/$34.99 convolutions; 13. Langlands conjectures; Appendix. The GL(n)pack manual; References. Sieve theory has a rich and romantic Cambridge Studies in Advanced history. The ancient question of whether Mathematics there exist infinitely many twin primes A Computational 2006/508 pp. (primes p such that p+2 is also prime), 83771-5/Hb/$90.00 and Goldbach’s conjecture that every even Introduction to Number number can be written as the sum of two Theory and Algebra Heights in Diophantine prime numbers, are two of the problems Victor Shoup Geometry that have inspired the development of the New York University Enrico Bombieri theory. This book provides a motivating “This is an outstanding and well- Walter Gubler introduction to sieve theory. Rather than written book whose aim is to introduce the reader to a broad range “Bombieri and Gubler have written an focus on technical details which can of material — ranging from basic to excellent introduction to some obscure the beauty of the theory, the relatively advanced — without exciting mathematics...written with an authors focus on examples and requiring any prior knowledge on the excellent combination of clarity and applications, developing the theory in part of the reader other than calculus rigor, with the authors highlighting parallel. The text can be used for a senior and mathematical maturity. That the which parts can be skipped on a first level undergraduate course or an book succeeds at this goal is quite an reading and which parts are introductory graduate course in analytic accomplishment! ...this book is a particularly important for later number theory. must-read for anyone interested in material. The book also contains a Contents: computational number theory or glossary of notation, a good index, 1. Some basic notions; 2. Some elementary sieves; algebra and especially applications of and a nice bibliography collecting 3. The normal order method; 4. The Turan sieve; 5. the latter to cryptography. I would not many of the primary sources in this The sieve of Eratosthenes; 6. Brun’s sieve; 7. hesitate, though, to recommend this field.” Selberg’s sieve; 8. The large sieve; 9. The book even to students ‘only’ MAA Reviews Bombieri-Vinogradov theorem; 10. The lower interested in the algebra itself (and Diophantine geometry has been studied bound sieve; 11. New directions in sieve theory; Bibliography. not the computational aspects by number theorists for thousands of London Mathematical Society Student thereof); especially for computer years, since the time of Pythagoras, and Texts science majors, this book is one of the has continued to be a rich area of ideas 2006/236 pp./275 exercises best available introductions to that such as Fermat’s Last Theorem and, most 84816-4/Hb/$90.00 subject.” recently, the ABC conjecture. This 61275-6/Pb/$39.99 SIGACT News monograph is a bridge between the Contents: classical theory and modern approach via 0. Preliminaries; 1. Basic properties of the integers; 2. Congruences; 3. Computing with large arithmetic geometry. The authors provide integers; 4. Euclid’s algorithm; 5. The distribution a clear path through the subject for of primes; 6. Finite and discrete probability graduate students and researchers. distributions; 7. Probabilistic algorithms; 8. 9 www.cambridge.org/us/mathematics Mathematics Abelian groups; 9. Rings; 10. Probabilistic (constant curvature); 7. The kinetic density; 8. primality testing; 11. Finding generators and Spaces of Kleinian Isoperimetric inequalities (variable curvature); 9. discrete logarithms in Zp*; 12. Quadratic residues Groups Comparison and finiteness theorems. and quadratic reciprocity; 13. Computational Cambridge Studies in Advanced problems related to quadratic residues; 14. Editors Mathematics Modules and vector spaces; 15. Matrices; 16. Yair N. Minsky 2006/488 pp./161 exercises Yale University, Connecticut Subexponential-time discrete logarithms and 85368-0/Hb/$95.00 factoring; 17. More rings; 18. Polynomial Makoto Sakuma 61954-8/Pb/$45.00 arithmetic and applications; 19. Linearly University of Osaka, Japan generated sequences and applications; 20. Finite Caroline Series fields; 21. Algorithms for finite fields; 22. University of Warwick The Cube: A Window to Deterministic primality testing; Appendix: some useful facts; Bibliography; Index of notation; The subject of Kleinian groups and Convex and Discrete Index. hyperbolic 3-manifolds is currently Geometry 2005/534 pp./450 exercises/150 worked undergoing explosively fast development, examples Chuanming Zong the last few years having seen the Peking University, Beijing 85154-8/Hb/$55.00 resolution of many longstanding This tract has two purposes: to show what conjectures. This volume contains is known about the n-dimensional unit important expositions and original work cubes and to demonstrate how analysis, by some of the main contributors on Geometry and algebra, combinatorics, graph theory, topics such as topology and geometry of hyperbolic geometry, and number theory 3-manifolds, curve complexes, classical Topology can be applied to the study of them. The Ahlfors-Bers theory, computer unit cubes, from any point of view, are explorations, and projective structures. among the most important and Researchers in these and related areas fascinating objects in an n-dimensional will find much of interest here from the Methods in Banach Euclidean space. explosion in the area over recent years, Space Theory Contents: including important and original research Preface; Basic notation; 0. Introduction; 1. Cross Editors from leading names in the field. sections; 2. Projections; 3. Inscribed simplices; 4. Jesús M. F. Castillo Contributors: Triangulations; 5. 0/1 polytopes; 6. Minkowski’s Universidad de Extremadura Y. Minsky, M. Sakuma, C. Series, K. Bromberg, conjecture; 7. Furtwangler’s conjecture; 8. Keller’s William B. Johnson K. Oshika, H. Miyachi, C. Lecuire, B. Martelli, conjecture; Bibliography; Index. Texas A & M University H. Akiyoshi, U. Hamenstädt, J. Aramayona, Cambridge Tracts in Mathematics This book presents an overview of modern S. A. Wolpert, A. Marden, Y. Komori, J. Gilman, 2006/184 pp./6 line diagrams/6 figures Banach space theory. It contains sixteen D. J. Wright, S. Kojima, S. Mizushima, S. P.Tan, 85535-7/Hb/$70.00 K. Ito, Y. Yamashita papers that reflect the wide expanse of London Mathematical Society Lecture the subject. Articles are gathered into five Note Series sections according to methodology rather 2006/398 pp. than the topics considered. The sections 61797-9/Pb/$70.00 Contact Geometry and are: geometrical methods; homological Nonlinear Differential methods; topological methods; operator Equations theoretic methods; and function space Riemannian Geometry Alexei Kushner methods. Each section contains survey Astrakhan State University, Russia and research papers describing the state- A Modern Introduction Valentin Lychagin of-the-art in the topic considered as well 2nd Edition Universitetet i Tromsø, Norway as some of the latest, most important Isaac Chavel Vladimir Rubtsov results. Researchers working in Banach City College, City University of New York Université d’Angers space theory, functional analysis, or Isaac Chavel covers introductory ideas Methods from contact and symplectic operator theory will find much of interest followed by a selection of more specialized geometry can be used to solve highly here. topics in this second edition. He provides non-trivial nonlinear partial and ordinary Contributors: a clearer treatment of many topics, with differential equations without resorting to S. A. Agyros, A. D. Arvanitakis, A. G. Tolias, J. new proofs of some theorems and a new approximate numerical methods or Becerra, M. Martín, I. Gasparis, E. Odell, B. Wahl, chapter on the Riemannian geometry of algebraic computing software. This book F. C. Sanchez, J. M. F. Castillo, Y. Moreno, N. J. Kalton, J. Wengenroth, M. J. Campión, J. C. surfaces. Among the classical topics shown explains how it’s done. It combines the Candeal, A. S. Granero, E. Indurain, M. Fabian, M. in a new setting is isoperimetric clarity and accessibility of an advanced Sánchez, P.Aiena, M. T. Biondi, E. Saksman, H.-O. inequalities in curved spaces. Completely textbook with the completeness of an Tylli, J. Suárez, L. Weis, J. Caballero, B. López, K. new themes created by curvature include encyclopedia. Sadarangani, A. Defant, C. Prengel, A. Pelczynski the classical Rauch comparison theorem Contents: London Mathematical Society Lecture Introduction; Part I. Symmetries and Integrals: 1. Note Series and its consequences in geometry and topology, and the interaction of Distributions; 2. Ordinary differential equations; 3. 2006/370 pp. Model differential equations and Lie superposition 68568-0/Pb/$75.00 microscopic behavior of the geometry with principle; Part II. Symplectic Algebra: 4. Linear the macroscopic structure of the space. algebra of symplectic vector spaces; 5. Exterior Contents: algebra on symplectic vector spaces; 6. A 1. Riemannian manifolds; 2. Riemannian Symplectic classification of exterior 2-forms in curvature; 3. Riemannian volume; 4. Riemannian dimension 4; 7. Symplectic classification of coverings; 5. Surfaces; 6. Isoperimetric inequalities exterior 2-forms; 8. Classification of exterior 3- 10 Call 1-800-872-7423 • Fax 845-353-4141 Mathematics forms on a 6-dimensional symplectic space; Part III. Monge-Ampère Equations: 9. Symplectic Global Analysis on Combinatorial and manifolds; 10. Contact manifolds; 11. Monge- Foliated Spaces Computational Ampère equations; 12. Symmetries and contact transformations of Monge-Ampère equations; 13. 2nd Edition Geometry Conservation laws; 14. Monge-Ampère equations Calvin C. Moore Editors on 2-dimensional manifolds and geometric University of California, Berkeley structures; 15. Systems of first order partial Jacob E. Goodman Claude L. Schochet City College, City University of New York differential equations on 2-dimensional manifolds; Wayne State University, Detroit Janos Pach Part IV.Applications: 16. Non-linear acoustics; 17. Foliated spaces look locally like products, Non-linear thermal conductivity; 18. Meteorology City College, City University of New York and New applications; Part V. Classification of Monge- but their global structure is generally not York University Ampère Equations: 19. Classification of symplectic a product, and tangential differential Emo Welzl MAEs on 2-dimensional manifolds; 20. operators are correspondingly more Eidgenössische Technische Hochschule Zürich Classification of symplectic MAEs on 2- complex. In the 1980s, Alain Connes During the past few decades, the gradual dimensional manifolds; 21. Contact classification of MAEs on 2-dimensional manifolds; 22. founded what is now known as merger of Discrete Geometry and the Symplectic classification of MAEs on 3- noncommutative geometry. One of the newer discipline of Computational dimensional manifolds. first results was his generalization of the Geometry has provided enormous impetus Encyclopedia of Mathematics and its Atiyah-Singer index theorem to compute to mathematicians and computer Applications the analytic index associated with a scientists interested in geometric 2006/480 pp./48 line diagrams/10 half- tangential (pseudo)-differential operator problems. This volume, which contains 32 tones/30 tables and an invariant transverse measure on a papers on a broad range of topics of 82476-1/Hb/$150.00 foliated manifold, in terms of topological current interest in the field, is an Introduction to Circle data on the manifold and the operator. outgrowth of that synergism. It includes This book presents a complete proof of surveys and research articles exploring Packing this beautiful result, generalized to geometric arrangements, polytopes, The Theory of Discrete Analytic foliated spaces (not just manifolds). packing, covering, discrete convexity, Functions Contents: geometric algorithms and their Kenneth Stephenson Introduction; 1. Locally traceable operators; 2. complexity, and the combinatorial University of Tennessee Foliated spaces; 3. Tangential cohomology; 4. complexity of geometric objects, Transverse measures; 5. Characteristic classes; 6. “Stephenson is one of a new breed of Operator algebra; 7. Pseudodifferential operators; particularly in low dimension. pure mathematicians, growing in 8. The index theorem; Appendices. Contributors: number, who love to combine Mathematical Sciences Research Institute P. K. Agarwal, S. Har-Peled, K. Varadarajan, I. experiment with theory. This means he Publications Barany, A. Barvinok, G. Blekherman, S. Basu, J. E. has computer code to carry out these 2006/308 pp. Goodman, A. Holmsen, R. Pollack, M.-F. Roy, M. M. Bayer, A. Bezdek, K. Bezdek, T. Bisztriczky, K. packings and investigate their 61305-1/Pb/$39.99 properties. And the book is interlaced Boroczky, A. Bobenko, P. Brass, G. Calinescu, A. with experiments — some successful, Dumitrescu, E. D. Demaine, J. O’Rourke, M. Develin, F. Santos, B. Sturmfels, H. Edelsbrunner, P. some not, some which worked one Koehl, R. G. Ehrenborg, D. Eppstein, E. M. day but not the next when pushed Geometry and Topology Feichtner, G. F.Toth, P. Gritzmann, T.Theobald, A. further. His immense enthusiasm for Miles Reid Heppes, W. Kuperberg, M. Joswig, H. Last, Y. Liu, J. this subject comes through on every University of Warwick Snoeyink, B. Mourrain, F. Rouillier, N. Nilakantan, page.” Balazs Szendroi J. Pach, R. Pinchasi, J. Rambau, I. Talata, C. D. Toth, G. Toth, P.Valtr, S. Vempala American Scientist Universiteit Utrecht, The Netherlands Contents: Mathematical Sciences Research Institute “A welcome addition to the Publications Part I. An Overview of Circle Packing: 1. A circle undergraduate library. Highly 2005/628 pp. packing menagerie; 2. Circle packings in the wild; recommended.” Part II. Rigidity: Maximal Packings: 3. 84862-8/Hb/$80.00 Preliminaries: topology, combinatorics, and Choice geometry; 4. Statement of the fundamental result; Geometry is central to many branches of 5. Bookkeeping and monodromy; 6. Proof for mathematics and physics, and offers a combinatorial closed discs; 7. Proof for combinatorial spheres; 8. Proof for combinatorial complete range of views on the universe. open discs; 9. Proof for combinatorial surfaces; This introduction includes many simple Part III. Flexibility: Analytic Functions: 10. The explanations and examples. With minimal intuitive landscape; 11. Discrete analytic prerequisites, the book provides a first functions; 12. Construction tools; 13. Discrete glimpse of many research topics in modern analytic functions on the disc; 14. Discrete entire functions; 15. Discrete rational functions; 16. algebra, geometry, and theoretical physics. Discrete analytic functions on Riemann surfaces; Contents: 17. Discrete conformal structure; 18. Random 0. Introduction; 1. Euclidean geometry; 2. walks on circle packings; Part IV: 19. Thurston’s Composing maps; 3. Non-Euclidean; 4. Affine Conjecture; 20. Extending the Rodin/Sullivan geometry; 5. Projective geometry; 6. Geometry Selected Backlist online sale and group theory; 7. Topology; 8. Geometry of theorem; 21. 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Conformal mapping I: A First Course in simple mappings and Mobius transforms; 17. Alexandru Nica Fourier transforms; 18. Laplace transforms; 19. University of Waterloo, Ontario Mathematical Analysis Elementary applications to two-dimensional Roland Speicher David Alexander Brannan physics; 20. Numerical transform techniques; 21. Queen’s University, Ontario The Open University, Milton Keynes Conformal mapping II: the Schwarz-Christoffel This book is the first to give a self- transformation; 22. Tiling the Euclidean and Mathematical Analysis (often called hyperbolic planes; 23. Physics in three and four contained and comprehensive Advanced Calculus) is generally found by dimensions I; 24. Physics in three and four introduction to free probability theory students to be one of their hardest dimensions II; Index. with a focus on the combinatorial aspects. courses in mathematics. This text uses the 2006/598 pp./57 line diagrams/375 The volume is designed so that it can be so-called sequential approach to exercises/57 figures/79 color figures used as a text for an introductory course continuity, differentiability and integration 83626-3/Hb/$75.00 on an advanced undergraduate or to make the subject easier to understand. beginning graduate level, and is also well- Topics that are generally glossed over in suited for the individual study of free the standard calculus courses are given Random Graph Dynamics probability. Contents: careful study here. For example, what Rick Durrett exactly is a ‘continuous’ function? And Part I. Basic Concepts: 1. Non-commutative Cornell University, Ithaca, New York probability spaces and distributions; 2. A case how exactly can one give a careful The theory of random graphs began in the study of non-normal distribution; 3. C*-probability definition of ‘integral’? This text is suitable late 1950s in several papers by Erdos and spaces; 4. Non-commutative joint distributions; 5. for self-study or use in parallel with a Renyi. In the late 20th century, the notion Definition and basic properties of free standard university course on the subject. independence; 6. Free product of *-probability of six degrees of separation, meaning that spaces; 7. Free product of C*-probability spaces; Contents: any two people on the planet can be Part II. Cumulants: 8. Motivation: free central limit Preface; 0. Introduction: Calculus and Analysis; 1. theorem; 9. Basic combinatorics I: non-crossing Numbers; 2. Sequences; 3. Series; 4. Continuity; 5. connected by a short chain of people who partitions; 10. Basic Combinatorics II: Möbius Limits and continuity; 6. Differentiation; 7. know each other, inspired Strogatz and inversion; 11. Free cumulants: definition and basic Integration; 8. Power series; Appendix 1. Sets, Watts to define the small world random properties; 12. Sums of free random variables; 13. functions and proofs; Appendix 2. Standard graph in which each site is connected to k More about limit theorems and infinitely divisible derivatives and primitives; Appendix 3. The first distributions; 14. Products of free random 1,000 decimal places of the square root of 2, e close neighbors, but also has long range variables; 15. R-diagonal elements; Part III. and pi; Appendix 4. Solutions to the problems; connections. At about the same time, it Transforms and Models: 16. The R-transform; 17. Index. was observed in human social and sexual The operation of boxed convolution; 18. More on 2006/472 pp./211 line diagrams/1 table/207 networks and on the internet that the the 1-dimensional boxed convolution; 19. The free exercises/109 worked examples number of neighbors of an individual or commutator; 20. R-cyclic matrices; 21. The full 86439-9/Hb/$90.00 computer has a power law distribution. 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Marcus and subtlety of complex analysis, and feature of this book is the interest in the dynamics of process taking place on the Jay Rosen several of its applications to physical City University of New York theory, with clear explanations of the graph in addition to their geometric flexibility and the power of properties, like correctness and diameter. Written by two foremost researchers in Mathematica for computing and for Contents: the field, this book studies the local times generating marvellous graphical 1. Overview; 2. Erdos-Renyi random graphs; 3. of Markov processes by employing displays.” Fixed degree distributions; 4. Power laws; 5. Small isomorphism theorems that relate them to Roger Penrose, University of Oxford worlds; 6. Random walks; 7. CHKNS model. certain associated Gaussian processes. It Cambridge Series in Statistical and Contents: Probabilistic Mathematics builds to this material through self- Preface; 1. 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Quantum Université de Paris VI (Pierre et Marie Curie) dynamical semigroups; 4. Hilbert modules; 5. Orthogonal Polynomials Fragmentation and coagulation are two Quantum stochastic calculus with bounded natural phenomena that can be observed coefficients; 6. Dilation of quantum dynamical in One Variable in many sciences and at a great variety of semigroups with bounded generator; 7. Quantum Mourad E. H. Ismail stochastic calculus with unbounded coefficients; University of South Florida scales - from, for example, DNA 8. Dilation of quantum dynamical semigroups This is the first modern treatment of fragmentation to formation of planets by with unbounded generator; 9. Noncommutative accretion. This book is the first geometry and quantum stochastic processes; orthogonal polynomials from the comprehensive theoretical account of Bibliography; Index. viewpoint of special functions. 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Feller Measures, Integrals and The Lévy Laplacian is an infinite- Functional Analysis for Martingales dimensional generalization of the well- Probability and known classical Laplacian. The theory has René L. Schilling Stochastic Processes Philipps-Universität Marburg, Germany become well-developed in recent years, “I believe this to be a great book for and this book is the first systematic An Introduction self-study as well as for course use. treatment of the Lévy-Laplace operator. Adam Bobrowski The book is ideal for future This book will be valued by those working Politechnika Lubelska, Poland probabilists as well as statisticians, in functional analysis, partial differential Designed for students of probability and and can serve as a good introduction equations, and probability theory. stochastic processes, as well as for for mathematicians interested in Contents: students of functional analysis, this measure theory.” Introduction; 1. The Lévy Laplacian; 2. 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14 Call 1-800-872-7423 • Fax 845-353-4141 Mathematics Large Deviations and Metastability Forthcoming… Enzo Olivieri Supersymmetry and Universitä degli Studi di Roma ‘Tor Vergata’ Quantum Groups String Theory Maria Eulália Vares Beyond the Standard Model Centro Brasileiro de Pesquisas Fisicas, Brasil A Path to Current Algebra Michael Dine “This impressive monograph provides Ross Street Macquarie University, Sydney University of California, Santa Cruz a quite complete survey of the topic Contents: of metastability and will certainly be a Contents: Introduction; 1. Revision of basic structures; 2. Part I. Effective Field Theory: The Standard Model, very useful reference for all research Duality between geometry and algebra; 3. The Supersymmetry, Unification: 1. Before the activity in this field.” quantum general linear group; 4. Modules and Standard Model; 2. The Standard Model; 3. ISI Short Book Reviews tensor products; 5. Cauchy modules; 6. 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15 www.cambridge.org/us/mathematics Mathematics

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Appendix. multi-disciplinary audience ranging from Contents: 2006/525 pp. graduate students to senior researchers. 1. Observational studies and experiments; 2. The 82565-2/Hb/$90.00* Novel applications of information theory regression line; 3. Matrix algebra; 4. Multiple are utilized to simplify, unify, and compare regression; 5. Path models; 6. Maximum 53272-8/Pb/$45.00* likelihood; 7. The bootstrap; 8. Simultaneous the equilibrium statistical theories. Topics equations; References; Answers to exercises; The and related background concepts are computer labs; Appendix: sample MATLAB code; introduced and developed through Reprints; Index. Fluid Dynamics and elementary examples and discussion 2005/424 pp./22 tables/203 exercises Solid Mechanics throughout the text as they arise. 85483-0/Hb/$80.00 Contents: 67105-1/Pb/$34.99 1. Barotropic geophysical flows and two- dimensional fluid flows: an elementary introduction; 2. The response to large scale Classical Mechanics forcing; 3. The selective decay principle for basic Probability and Statistics geophysical flows; 4. Nonlinear stability of steady R. Douglas Gregory geophysical flows; 5. Topographic mean-flow University of Manchester by Example interaction, nonlinear instability, and chaotic Volume 1, Basic Probability and This is a major new textbook for dynamics; 6. Introduction to empirical statistical theory; 7. Equilibrium statistical mechanics for Statistics undergraduates in mathematics and physics. It is a thorough, self-contained, systems of ordinary differential equations; 8. Yuri Suhov Statistical mechanics for the truncated quasi- University of Cambridge and highly readable account of a subject geostrophic equations; 9. Empirical statistical Mark Kelbert many students find difficult. The author’s theories for most probable states; 10. 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The book is suited for multiphase flows. Each chapter is written Editors graduate courses in chemical and by a recognized expert in the field and Claus Wagner mechanical engineering, physics and contains extensive references to current German Aerospace Center, Göttingen chemistry, but may also, by proper research. The book is organized so that Thomas Hüttl selection, be found useful on the the chapters are fairly independent to MTU Aero Engines GmbH, München undergraduate level. enable it to be used for a range of Pierre Sagaut 2006/920 pp./18 tables/28 exercises advanced courses. No other book offers Université Pierre et Marie Curie, Paris 85240-4/Hb/$95.00* the simultaneous coverage of so many Contents and Contributors: topics related to multiphase flow. It will Preface; Part I. Introduction: 1. The importance of acoustic research Thomas Hüttl; 2. Introduction to The Navier-Stokes be welcomed by researchers and graduate computational aeroacoustics Manuel Kessler; 3. Equations students in engineering, physics, and State of the art: LES for acoustics Claus Wagner, applied mathematics. Oliver Fleig and Thomas Hüttl; Part II. Theoretical A Classification of Flows and Exact Contents and Contributors: Background: Aeroacoustics Avraham Hirschberg Solutions Preface; 1. Introduction: A computational and Sjoerd Rienstra; Part III. Theoretical P. G. Drazin approach to multiphase flow A. Prosperetti and G. Background: Large-Eddy Simulation Pierre Sagaut; University of Bristol Tryggvason; 2. Direct numerical simulations of Part IV. Use of Hybrid RANS/LES for Acoustic- N. Riley Source Predictions Paul Batten, Philippe Spalart finite Reynolds number flows G. Tryggvason and S. University of East Anglia and Marc Terracol; Part V. Numerical Methods: 4. Balachandar; 3. Immersed boundary methods for The Navier-Stokes equations were firmly fluid interfaces G. Tryggvason, M. Sussman and M. Spatial and temporal discretization schemes Tim Y. Hussaini; 4. Structured grid methods for solid Broeckhoven, Jan Ramboer, Sergey Smirnov and established in the 19th Century as the particles S. Balachandar; 5. Finite element Chris Lacor; 5. Boundary conditions for LES system of nonlinear partial differential methods for particulate flows H. Hu; 6. Lattice Michael Breuer; 6. Boundary conditions: acoustics equations which describe the motion of Fang Q. Hu; 7. Some concepts of LES-CAA Boltzmann methods for multiphase flows S. Chen, most commonly occurring fluids in air and X. He and L. S. Luo; 7. Boundary integral methods coupling Wolfgang Schroder and Roland Ewert; for Stokes flows J. Blawzdziewic; 8. Averaged Part VI. Applications and Results of Large-Eddy water, and since that time exact solutions equations for multiphase flows A. Prosperetti; 9. Simulations for Acoustics: 8. Plane and have been sought by scientists. 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This edition volume can be used as a textbook for 21. Spatial digital filters; 22. Dynamical data contains a new foreword by Peter Lynch either undergraduate or first-year assimilation: the straight line problem; 23. First- that sets the original book in context. order adjoint method: linear dynamics; 24. First- graduate courses on computational Contents: physics or scientific computation. It will order adjoint method: nonlinear dynamics; 25. Foreword; 1. Summary; 2. Introductory example; Second-order adjoint method; 26. The ADVAR 3. The choice of cooordinate differences; 4. The also be a useful reference for anyone problem: a statistical and a recursive view; 27. fundamental equations; 5. Finding the vertical involved in computational research. Linear filtering - Part I: Kalman filter; 28. Linear velocity; 6. Special treatment for the stratosphere; Contents: filtering-part II; 29. Nonlinear filtering; 30. 7. The arrangement of points and instants; 8. 1. Introduction; 2. Approximation of a function; 3. Reduced rank filters; 31. Predictability: a Review of operations in sequence; 9. An example Numerical calculus; 4. Ordinary differential stochastic view; 32. Predictability: a deterministic worked on computing forms; 10. Smoothing the equations; 5. Numerical methods for matrices; 6. view; Bibliography; Index. initial data; 11. Some remaining problems; 12. Spectral analysis; 7. Partial differential equations; Encyclopedia of Mathematics and its Units and notation; Index of persons; Index of 8. Molecular dynamics simulations; 9. Modeling Applications subsidiary subjects. continuous systems; 10. Monte Carlo simulations; 2006/676 pp./29 tables/208 exercises/110 Cambridge Mathematical Library 11. Genetic algorithm and programming; 12. figures 2007/c. 250 pp. Numerical renormalization; References. 85155-6/Hb/$145.00 68044-1/Pb/$55.00* 2006/402 pp./37 line diagrams/5 half-tones/3 tables/169 exercises Dynamical Systems 82569-5/Hb/$70.00 Editors Albert Fathi The Emergence of Ecole Normale Supérieure, Lyon Numerical Weather J.-C. Yoccoz Collège de France, Paris Prediction: Richardson’s Contents: Dream 1. Michael Robert Herman, 1942-2000; 2. L2 Peter Lynch regularity of measurable solutions of a finite- University College Dublin difference equation of the circle; 3. On Herman’s theorem for ergodic, amenable group extensions This book tells the story of Richardson’s Selected Backlist online sale of endomorphisms; 4. Lyapunov exponents with trial forecast, and the fulfillment of his The best of the backlist is multiplicity 1 for deterministic products of dream of practical numerical weather matrices; 5. Remarks on stability and diffusion in available at a 20% discount, high-dimensional Hamiltonian systems and partial forecasting. It includes a complete only at differential equations; 6. Stable manifolds and the reconstruction of Richardson’s forecast, www.cambridge.org/us/ Perron-Irwin method; 7. C2 densely the 2-sphere and analyzes in detail the causes of his promotion/math

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One particularly layers; 17. Case study: the thermistor (2); 18. attractive feature is the way in which the authors managed to emphasize 26 Call 1-800-872-7423 • Fax 845-353-4141 Mathematics link detection in such varied fields as M&A business intelligence, genomics research, and counter-terrorism activities. A Guide to MATLAB® Contents: Planning Algorithms For Beginners and Experienced Users 1. Introduction to text mining; 2. Core text mining Steven M. LaValle 2nd Edition operations; 3. Text mining preprocessing University of Illinois, Urbana-Champaign Brian R. Hunt techniques; 4. Categorization; 5. Clustering; 6. “The book by Steve LaValle gives an Information extraction; 7. Probabilistic models for excellent overview of the current Ronald L. Lipsman Information extraction; 8. Preprocessing state of the art in the field. It should Jonathan M. Rosenberg applications using probabilistic and hybrid lie on the desk of everybody that is University of Maryland, College Park approaches; 9. 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CAD, GIS, and many other areas will 2007/c. 560 pp. benefit from this first book on the subject. Creation, Compression, Restoration, 81513-4/Hb/$80.00* Contents: Recognition 1. Basics; 2. Curve reconstruction; 3. Surface S. G. Hoggar Extending Mechanics to samples; 4. Surface reconstruction; 5. University of Glasgow Undersampling; 6. Watertight reconstructions; 7. Minds Noisy Samples; 8. Noise and reconstruction; 9. This major revision of the author’s popular Implicit surface based reconstructions; 10. Morse book still focuses on foundations and The Mechanical Foundations of theoretic reconstructions. proofs, but now shifts toward probability Psychology and Economics Cambridge Monographs on Applied and and information theory (with Shannon’s Jon Doyle Computational Mathematics source and channel encoding theorems) North Carolina State University 2006/232 pp./70 exercises which are used throughout. 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28 Call 1-800-872-7423 • Fax 845-353-4141 Mathematics Introduction to finite fields; 4. Bounds on the parameters of codes; 5. Reed-Solomon codes and related codes; 6. Decoding of Reed-Solomon Automata Theory with Complexity and codes; 7. Structure of finite fields; 8. Cyclic codes; 9. List decoding of Reed-Solomon codes; 10. Modern Applications Cryptography Codes in the Lee metric; 11. MDS codes; 12. James A. Anderson An Introduction Concatenated codes; 13. Graph codes; 14. Trellis University of South Carolina codes and convolutional codes; Appendix A. John Talbot Basics in modern algebra; Bibliography; List of Recent applications to biomolecular University College London symbols; Index. science and DNA computing have created Dominic Welsh 2006/578 pp./66 line diagrams/12 tables/348 a new audience for automata theory and University of Oxford exercises/105 worked examples formal languages. This is the only Cryptography plays a crucial role in many 84504-1/Hb/$75.00 introductory book to cover such aspects of today’s world, from internet applications. With over 350 exercises and banking and e-commerce to e-mail and An Introduction to many examples and illustrations, this text web-based business processes. will make an ideal contemporary Understanding the principles on which it Programming with introduction for students; others, new to is based is an important topic that Mathematica® the field, will welcome it for self-learning. requires a knowledge of both 3rd Edition Contents: computational complexity and a range of Paul R. Wellin 1. Introduction; 2. Languages and codes; 3. topics in pure mathematics. This book Wolfram Research Inc., Illinois Automata; 4. Grammars; 5. Turing machines; 6. A provides that knowledge, combining an Richard J. Gaylord visual approach to formal languages; 7. From biopolymers to formal language theory; informal style with strong proofs of the Samuel N. Kamin University of Illinois, Urbana-Champaign Bibliography; Index. key results to provide an accessible 2006/264 pp./5 tables/351 exercises/147 introduction. It includes many examples “Essential...a welcome addition to the figures/109 worked examples and exercises, and is based on a highly literature. The choice of topics and 84887-3/Hb/$99.00 successful course developed and taught their presentation are lucidly informed by considerable experience. The 61324-8/Pb/$45.00 over many years. writing style is straightforward and Contents: clear. The authors stick resolutely to Computational Oriented 1. Basics of cryptography; 2. Complexity theory; 3. Non-deterministic computation; 4. Probabilistic their goal of producing an Matroids computation; 5. Symmetric cryptosystems; 6. One- introductory text, not a complete Equivalence Classes of Matrices way functions; 7. Public key cryptography; 8. treatment, on programming in Digital signatures; 9. Key establishment protocols; Mathematica. As such it is highly within a Natural Framework 10. Secure encryption; 11. Identification schemes; successful, full of useful examples that Juergen G. Bokowski Appendices; Bibliography; Index. show how the ideas can be Technische Universität, Darmstadt, Germany 2006/304 pp./172 exercises immediately and fruitfully exploited.” Oriented matroids play the role of 85231-5/Hb/$95.00 The Mathematica Journal matrices in discrete geometry, when 61771-5/Pb/$50.00 Contents: metrical properties, such as angles or 1. An introduction to Mathematica; 2. The distances, are neither required nor Mathematica language; 3. Lists; 4. Functional available. Thus they are of great use in programming; 5. Procedural programming; 6. Introduction to Coding Rule-based programming; 7. Recursion; 8. such areas as graph theory, combinatorial Numerics; 9. Graphics programming; 10. Front- optimization and convex geometry. The Theory end programming; 11. Examples and applications; combination of concrete applications and Ron Roth 12. Writing packages; Appendix A. How computation, the profusion of illustrations, Technion–Israel Institute of Technology, Haifa expressions are evaluated; Appendix B. Debugging. many in color, and the large number of “[T]his volume is a most welcome 2005/570 pp./102 line diagrams/21 half- examples and exercises make this an ideal addition. It has many features that are tones/22 tables/234 exercises distinctive and it is clear from the introductory text on the subject. It will 84678-1/Hb/$75.00 also be valuable for self-study for approach and treatment of the key mathematicians and computer scientists topics that it has been well tested as a course text. These features include working in discrete and computational the extensive collections of geometry. interesting and nontrivial problems at Contents: the end of chapters, the clear and 1. Geometric matrix models i; 2. Geometric matrix insightful explanations of some of the models ii; 3. From matrices to rank 3 oriented matroids; 4. Oriented matroids of arbitrary rank; deeper aspects of the subject and the 5. From oriented matroids to face lattices; 6. From extensive, interesting, and useful face lattices to oriented matroids i; 7. From face historical notes on the development lattices to oriented matroids ii; 8. From oriented of the subject...This is an excellent matroids to matrices; 9. Computational synthetic volume that will reward the geometry; 10. Some oriented matroid participants in any course that uses it Selected Backlist online sale applications; 11. 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29 www.cambridge.org/us/mathematics Mathematics absolutely nothing to do with Beginning and ending the presentation: common General Interest gender.” ground, the place to start, the complete Jerome I. Friedman, Nobel Prize in Physics, introduction, danger: introductory slides ahead, 1990, Institute Professor Emeritus, wrapping it up; 5. Titling the talk; 6. Delivery: stage fright, teaching vs. lecturing, three steps for The New Physics Massachusetts Institute of Technology presenting data, the mechanics of being heard, For the Twenty-First Century 2006/498 pp./10 line diagrams/40 half-tones accents and mannerisms, what to rehearse; 7. 2nd Edition 82197-5/Hb/$35.00 Fielding questions: laying the groundwork for Q & Editor A, Q & A basics, worst-case scenarios; 8. The job interview: what they will ask, radio science; 9. The Gordon Fraser media interview: the basics, getting ready, “It is written at a level that can be The Mathematics of television interviews, follow-up; 10. Making clear digested by eager undergraduates but posters: organizing a poster, conducting the will also be instructive to experienced Behavior session; 11. In closing; Appendices. physicists.... [A] good value.” Earl Hunt 2006/136 pp./32 color figures Physics World University of Washington 86681-2/Hb/$60.00 Contents and Contributors: This book illustrates how mathematics can 68345-9/Pb/$22.99 Introduction G. Fraser; Part I. Matter and the be used to understand human and animal Universe: 1. Cosmology W. Freedman and R. Kolb; Building a Successful 2. Gravity R. Adler; 3. Astrophysics A. Dar; 4. behavior, using examples in psychology, Particles and the standard model C. Quigg; 5. sociology, economics, ecology, and even Career in Scientific Superstrings M. Green; Part II. Quantum Matter: marriage counseling. 6. Atoms and photons C. Cohen-Tannoudji and J. Contents: Research Dalibard; 7. The quantum world of ultra-cold 1. Introduction; 2. Applying probability theory to A Guide for PhD Students and atoms C. Foot and W. Phillips; 8. Superfluidity H. problems in sociology and psychology; 3. From Hall; 9. Quantum phase transitions S. Sachdev; Postdocs physics to perception; 4. When systems evolve Phil Dee Part III. Quanta in Action: 10. Quantum over time; 5. Non-Linear and chaotic systems; 6. entanglement A. Zeilinger; 11. Quanta, ciphers Defining rationality - personal and group decision From PhD student to post-doc, Phil Dee and computers A. Ekert; 12. Small-scale structure making; 7. How to evaluate evidence; 8. has been sharing his career experiences and nanoscience Y. Imry; Part IV. Calculation and Multidimensional scaling surveying the geography Computation: 13. Nonlinearity H. Abarbanel; 14. with fellow scientists in his regular and of the mind; 9. The mathematical models behind Science Next Wave Complexity A. Politi; 15. Collaborative physics, E- psychological testing; 10. How to know you asked acclaimed column science and the grid T. Hey and A. Trefethen; Part a good question; 11. The construction of since 2000. Now his invaluable and V. Science in Action: 16. Biophysics C. Safinya; 17. complexity: how simple rules make the complex entertaining advice is available in this Medical physics N. Pavel; 18. Physics and organizations; 12. Connectionism: computation compact warts-and-all guide to getting materials R. Cahn; 19. Physics and society U. connects mind and brain; 13. L’Envoi; References; your science PhD and subsequent post- Amaldi. Index. doctoral employment as a researcher. Dee 2006/556 pp./108 line diagrams/46 half- 2006/368 pp./14 tables offers you the inside track on what life in tones/179 color figures 85012-6/Hb/$80.00 the lab is really like with down-to-earth 81600-9/Hb/$60.00 61522-4/Pb/$34.99 suggestions for handling personal relationships in science, maintaining your morale, or designing a good poster. Out of the Shadows Speaking about Science Contents: Contributions of Twentieth-Century A Manual for Creating Clear Foreword; Introduction; Part I. The First Couple of Women to Physics Years: 1. Choosing and handling your PhD Presentations adviser; 2. Motivation, time management and Editors Scott Morgan multitasking; 3. Handling the literature; 4. Report Nina Byers Barrett Whitener writing; 5. Powerful presentations; Part II. The End Gary Williams Premiere Public Speaking, Washington, DC of the Beginning: 6. Writing papers and abstracts; 7. Conferences and poster presentations; 8. University of California, Los Angeles This is a practical manual aimed at “Out of the Shadows gives us Writing and defending your thesis; 9. Coping with graduate students, junior researchers, pressure and stress; Part III. The Transition to fascinating accounts of some of the nervous professionals or clinicians who Postdoctoral Research: 10. 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Do you have Principal Investigator (PI) potential?; Epilogue; Web-links; Index. first method of measuring inter- a talk and developing effective galactic distances, and how Cecilia 2006/140 pp./2 line diagrams/1 half-tone PowerPoint slides through delivery before 85191-2/Hb/$70.00 Payne-Gaposchkin, in studies of an audience. spectra from stars, discovered that 61740-5/Pb/$24.99 Contents: most of the luminous matter in the Introduction; 1. The basic problem with oral universe consists of hydrogen and presentations - and its solution: writing vs. helium. Both of these were advances speaking, presentation structure: the hour glass crucial to the development of format; 2. The first steps of preparation: finding astrophysics and modern cosmology. the take home message, identifying the main This wonderful book beautifully question; 3. Selecting helpful images: the ‘money illustrates that scientific talent has slide’, supporting slides, good slide, bad slide; 4.

30 Call 1-800-872-7423 • Fax 845-353-4141 Mathematics Playfair’s Commercial Archytas of Tarentum Philosophical and Political Atlas and Pythagorean, Philosopher and Perspectives on Infinity Statistical Breviary Mathematician King Graham Oppy Carl Huffman Monash University, Victoria William Playfair DePauw University, Indiana Exploring philosophical questions about Introduction by “Huffman gives readers the clearest infinity, Graham Oppy examines how the Howard Wainer picture yet of this important thinker infinite lurks everywhere, both in science National Medical Examiners Board, Philadelphia, PA about whom Aristotle wrote more and in our ordinary thoughts about the Ian Spence books than about anyone else. Highly University of Toronto recommended.” world. He also analyzes the many puzzles “Although Edward Tufte and others Choice and paradoxes that follow in the train of the infinite, addressing such simple have noted Playfair’s role as the Archytas of Tarentum was a central figure notions as counting, adding, and leading originator of modern in fourth-century Greek life and thought maximizing present serious difficulties. statistical graphics, access to his work and the last great philosopher in the early has heretofore been limited. Finally Other topics examined include the nature Pythagorean tradition. This first extensive Playfair can speak for himself: of space and time, infinities in physical study of Archytas’ work in any language Facsimiles of two of his most science, infinities in theories of probability presents a radically new interpretation of important works - the 1801 edition of and decision, the nature of part/whole his significance for fourth-century Greek The Commercial and Political Atlas, relations, mathematical theories of the and The Statistical Breviary of the thought and his relationship to Plato, as infinite, and infinite regression and same year - have now been published well as a full commentary on all the principles of sufficient reason. in one small, affordable volume. The fragments and testimonia. 2006/334 pp./1 table vision that emerges from Playfair’s 2005/682 pp./5 figures 86067-9/Hb/$75.00 pages is one of startling clarity and 83746-4/Hb/$180.00 foresight. Even those who have seen samples of his charts...will find new The Historical Statistics treasures here, all in color and some Social Choice and the on foldout pages. The facsimiles are Mathematics of of the United States prefaced by a lively introduction in 5 Volume Set which the editors - [Howard] Wainer Manipulation and psychologist Ian Spence - give us Alan D. Taylor Millennial Edition a glimpse of the work’s creator and Union College, New York Editors his times.” “...until recently there has been a Susan B. Carter American Scientist problem facing mathematicians who Scott Sigmund Gartner A scientific revolution began at the end of are interested in learning about [the Michael R. Haines mathematics of elections]...I am the 18th century with the creation and Alan L. Olmstead pleased to say that this is no longer Richard Sutch popularization of the graphic display of the case, as Alan D. Taylor’s recently Gavin Wright data by Scottish inventor William Playfair, released Social Choice and the who introduced the line graph, bar chart, Mathematics of Manipulation fits “For starters, it weighs 29 pounds. It and pie chart into statistics. His this bill perfectly.” has five volumes. And it’s densely remarkable Atlas demonstrated how much MAA Reviews packed with more than a million numbers that measure America in could be learned if one plotted data Honesty in voting is not always the best mind-boggling detail, from the graphically and looked for suggestive policy. This is a book for mathematicians, average annual precipitation in Sweet patterns to provide evidence for pursuing political scientists, economists, and Springs, Mo., to the wholesale price of research. In the Statistical Breviary, philosophers who want to understand rice in Charleston S.C., in 1707...The Playfair invented the pie chart and how it is impossible to devise a new edition, which sells for $825 and expanded upon this concept to facilitate reasonable voting system in which voters is also available in an online version, the comparison of the resources of can never gain by submitting a is a gold mine for scholars, students European countries. Playfair’s work has disingenuous ballot. The book requires no and assorted nerds and numbers great relevance to contemporary science, prerequisites except a willingness to crunchers...” Sam Roberts, The New York Times but finding copies of his original versions follow rigorous mathematical arguments. is very difficult. This re-issuance of two of Contents: Historical Statistics of the United his classic works, with new explanatory 1. Introduction; 2. The Gibbard-Satterthwaite States, Millennial Edition is a material, allows access to his wisdom for theorem; 3. Additional results for single-valued monumental work of collaborative the first time in two centuries. In full elections; 4. The Duggan-Schwartz theorem; 5. scholarship providing a comprehensive Additional results for multi-valued elections; 6. compendium of statistics from over 1,000 color exactly as Playfair hand-colored the Ballots that rank sets; 7. Elections with outcomes original, this volume includes exact that are lotteries; 8. Elections with variable sources recording every aspect of the duplicates of the third edition of his agendas; References; Index. history of the United States. classic Atlas as well as the Statistical Outlooks To learn more about Historical Breviary. An additional feature is the Co-published with the MAA Statistics of the United States, visit inclusion of annotations and an extensive 2005/190 pp./3 line diagrams/80 exercises http://www.cambridge.org/hsus biography of the remarkable inventor. 81052-3/Hb/$70.00 81791-9/5 Hardback books/$990.00 2005/248 pp. 00883-2/Pb/$24.99 Please e-mail [email protected] for a free 85554-3/Hb/$39.99 trial of the online edition. 31 www.cambridge.org/us/mathematics

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Qty. List Qty. List __ 863201 Ambrosetti/Nonlin App Semilinear Elliptic Prob...... Hb $80.00* __ 838282 Chen/Matrix Precond Tech Applications ...... Hb $95.00 __ 848873 Anderson/Automata Theory Mod Application...... Hb $99.00 __ 853370 Cohn/Free Ideal Rings Local General Ring...... Hb $140.00 __ 613248 Anderson/Automata Theory Mod Application...... Pb $45.00 __ 848164 Cojocaru/Intro Sieve Methods Applications...... Hb $90.00 __ 68045X Angeleri Hügel/Happel/Kra/Handbook of Tilting ...... Pb $80.00 __ 612756 Cojocaru/Intro Sieve Methods Applications...... Pb $39.99 __ 842050 Antonelli/Grounded Cons Defeasible Logic...... Hb $55.00 __ 861705 Cornuejols/Optimization Methods in Finance...... Hb $70.00 __ 780780 Armitage/LMSST: Elliptic Functions ...... Hb $90.00 __ 677750 Coughlan/Dodd/Gripaios/The Ideas of Particle Physics 3ed ...... Pb $50.00 __ 785634 Armitage/LMSST: Elliptic Functions ...... Pb $42.99 __ 866731 Cox/Principles of Statistical Inference...... Hb $80.00 __ 58423X Assem/Skowronski/Simson/LMSST: Elements Represent Thry v1 ...... Hb $90.00 __ 685672 Cox/Principles of Statistical Inference...... Pb $34.99 __ 586313 Assem/Skowronski/Simson/LMSST: Elements __ 856035 Cristianini/Intro Computational Genomics ...... Hb $120.00 Represent Thry v1 ...... Pb $45.00 __ 671914 Cristianini/Intro Computational Genomics ...... Pb $35.00 __ 855640 Baldick/Applied Optimization ...... Hb $90.00 __ 851912 Dee/Build Success Career Sci Research...... Hb $70.00 __ 844932 Barnsley/SuperFractals...... Hb $35.00 __ 617405 Dee/Build Success Career Sci Research...... Pb $24.99 __ 81362X Beardon/Algebra and Geometry...... Hb $90.00 __ 863708 Dey/Curve and Surface Reconstruction...... Hb $65.00 __ 890497 Beardon/Algebra and Geometry...... Pb $39.99 __ 858410 Dine/Supersymmetry and String Theory...... Hb $80.00 __ 860695 Becker/Becker/Schwarz/String Theory and M-Theory..Hb $80.00 __ 86092X Do/Müller/Vannucci/Bayesian Infer Gene Exp __ 853109 Bennett/Lagrangian Fluid Dynamics...... Hb $95.00 Proteomics ...... Hb $75.00 __ 853877 Benson/Music: A Mathematical Offering ...... Hb $90.00* __ 858038 Dorofeev/Statistics Real-Life Sample Surveys ...... Hb $99.00 __ 619998 Benson/Music: A Mathematical Offering ...... Pb $42.99* __ 674654 Dorofeev/Statistics Real-Life Sample Surveys ...... Pb $45.00 __ 867282 Bertoin/Random Fragment Coagul Process ...... Hb $65.00 __ 861977 Doyle/Extending Mechanics Minds ...... Hb $95.00 __ 825652 Bhattacharya/Random Dynamical Systems ...... Hb $90.00* __ 681626 Drazin/The Navier-Stokes Equations...... Pb $50.00 __ 532728 Bhattacharya/Random Dynamical Systems ...... Pb $45.00* __ 866561 Durrett/Random Graph Dynamics...... Hb $55.00 __ 831660 Bobrowski/Func Anly Prob Stoch Processes...... Hb $95.00 __ 68207X Edelsbrunner/Geometry Topology Mesh Generation..Pb $29.99 __ 539374 Bobrowski/Func Anly Prob Stoch Processes...... Pb $50.00 __ 860393 Everitt/Cambridge Dictionary Statistics 3ed...... Hb $90.00 __ 849306 Bokowski/Computational Oriented Matroids ...... Hb $75.00 __ 690277 Everitt/Cambridge Dictionary Statistics 3ed...... Pb $40.00 __ 872286 Bollobás/The Art of Mathematics...... Hb $85.00 __ 860687 Fathi/Dynamical Systems ...... Hb $110.00 __ 693950 Bollobás/The Art of Mathematics...... Pb $34.99 __ 845076 Fecko/Diff Geometry Lie Grp Physicists ...... Hb $75.00 __ 872324 Bollobás/Percolation...... Hb $75.00 __ 836573 Feldman/The Text Mining Handbook...... Hb $70.00 __ 846153 Bombieri/Heights in Diophantine Geometry...... Hb $130.00 __ 846226 Feller/The Lévy Laplacian ...... Hb $70.00 __ 847540 Borodovsky/Prob Sol Biological Sequence Anly ...... Hb $85.00 __ 816009 Fraser/The New Physics 2ed...... Hb $60.00 __ 612306 Borodovsky/Prob Sol Biological Sequence Anly ...... Pb $39.99 __ 854830 Freedman/Statistical Models...... Hb $80.00 __ 849918 Bovier/Statistical Mech Disordered Sys ...... Hb $80.00 __ 671051 Freedman/Statistical Models...... Pb $34.99 __ 864399 Brannan/First Course Mathematical Analysis...... Hb $90.00 __ 801648 Galperin et al/Harmonic Superspace...... Hb $120.00 __ 684242 Brannan/First Course Mathematical Analysis...... Pb $50.00 __ 020425 Galperin et al/Harmonic Superspace...... Pb $43.00 __ 865654 Brualdi/Combinatorial Matrix Classes...... Hb $110.00 __ 835313 Gannon/Moonshine beyond the Monster...... Hb $130.00 __ 872502 Butler/Saddlepoint Approx with Application ...... Hb $80.00* __ 866804 Gardner/Geometric Tomography 2ed...... Hb $140.00 __ 821975 Byers/Out of the Shadows...... Hb $35.00 __ 684935 Gardner/Geometric Tomography 2ed...... Pb $70.00 __ 694698 Campbell et al/Groups St Andrews 2005 Vol 1...... Pb $75.00* __ 470188 Garnett/Harmonic Measure...... Hb $110.00 __ 694701 Campbell et al/Groups St Andrews 2005 Vol 2...... Pb $75.00* __ 863678 Garson/Quantified Modal Logic Philosophers...... Hb $80.00 __ 851386 Carter/Lie Algebras Finite and Affine Type...... Hb $80.00 __ 682290 Garson/Quantified Modal Logic Philosophers...... Pb $34.99 __ 817919 Carter et al/Hist Stats USA Mill Ed 5 Vol Set...... Wb $990.00 __ 861039 Gille/Cen Simp Algebras Galois Cohomology...... Hb $75.00 __ 866960 Cartier/Functional Integration...... Hb $140.00 __ 837715 Goldfeld/Automorph For L-Funct Group GL(n,R)...... Hb $90.00 __ 685680 Castillo/Methods in Banach Space Theory...... Pb $75.00 __ 848628 Goodman/Pach/Welzl/Combinatorial Computat ...... Hb $80.00 __ 841089 Cesa-Bianchi/Prediction, Learning, and Games ...... Hb $65.00 __ 826780 Gregory/Classical Mechanics ...... Hb $120.00 __ 853680 Chavel/Riemannian Geometry 2ed ...... Hb $95.00 __ 534097 Gregory/Classical Mechanics ...... Pb $60.00 __ 619548 Chavel/Riemannian Geometry 2ed ...... Pb $45.00 __ 864704 Gubner/Prob Rand Proc Elect Comp Eng ...... Hb $80.00

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Hb $75.00 Time-Dependnt Prob ...... Hb $80.00* __ 825695 Pang/Intro Computational Physics 2ed...... Hb $70.00 __ 829518 Hobson/Efstathiou/Lasenby/General Relativity...... Hb $70.00 __ 685087 Percival/Wavelet Method Time Series Analysis ...... Pb $50.00 __ 780292 Hoggar/Mathematics of Digital Images...... Hb $80.00 __ 848865 Pinchover/Intro Partial Differential Equation...... Hb $120.00 __ 842743 Howison/Practical Applied Mathematics ...... Hb $125.00 __ 61323X Pinchover/Intro Partial Differential Equation...... Pb $50.00 __ 603692 Howison/Practical Applied Mathematics ...... Pb $55.00 __ 855543 Playfair/Wainer/Spence/Playfair Comm Pol Atlas ...... Hb $39.99 __ 817501 Hoyle/Pattern Formation...... Hb $80.00 __ 847648 Prosperetti/Computational Meth Multi Flow...... Hb $90.00* __ 837464 Huffman/Archytas of Tarentum...... Hb $180.00 __ 84889X Reid/Geometry and Topology...... Hb $95.00 __ 674549 Humphreys/Modular Rep Finite Group Lie Type ...... Pb $55.00 __ 613256 Reid/Geometry and Topology...... Pb $45.00 __ 850126 Hunt/The Mathematics of Behavior ...... Hb $80.00 __ 680441 Richardson/Weather Prediction Num Proc 2ed...... Pb $55.00* __ 615224 Hunt/The Mathematics of Behavior ...... Pb $34.99 __ 861535 Riley/Hobson/Bence/Mathematical Methods Physic __ 850681 Hunt et al/A Guide to MATLAB 2ed...... Hb $125.00 Eng 3ed ...... Hb $160.00 __ 615658 Hunt et al/A Guide to MATLAB 2ed...... Pb $50.00 __ 679710 Riley/Hobson/Bence/Mathematical Methods Physic __ 818338 Ionin/Combinatorics of Symmetric Designs ...... Hb $130.00 Eng 3ed ...... Pb $80.00 __ 782015 Ismail/Class Quant Ortho Polynom Variable ...... Hb $140.00 __ 84729X Robin/Rodolphe/Schbath/DNA, Words and Models....Hb $55.00 __ 820820 Kapusta/Finite-Temperature Field Theory 2ed ...... Hb $140.00 __ 845041 Roth/Introduction to Coding Theory...... Hb $75.00 __ 828627 Klein/Introductory Computational Physics...... Hb $65.00 __ 685079 Sapiro/Geometric Partial Diff Equatn Image ...... Pb $39.99 __ 837030 Kleshchev/Linear Projective Rep Symmet Grps ...... Hb $80.00 __ 850150 Schilling/Measures, Integrals and Martingales...... Hb $90.00 __ 554748 Knight/Numerical Meth Compressible Flows...... Hb $95.00 __ 615259 Schilling/Measures, Integrals and Martingales...... Pb $50.00 __ 852676 Kogan/Intro Clust Large High Dimens Data...... Hb $75.00 __ 84472X Severini/Elements of Distribution Theory...... Hb $65.00 __ 617936 Kogan/Intro Clust Large High Dimens Data...... Pb $29.99 __ 836263 Shaw/Complex Analysis Mathematica ...... Hb $75.00 __ 824761 Kushner/Lychagin/Rubtsov/EOM: Contact Geom __ 833604 Shlapentokh/Hilbert’s Tenth Problem...... Hb $99.00 Nonlinear Dif Equ...... Hb $150.00 __ 86478X Shonkwiler/Intro to Parallel Vector Sci Comput...... Hb $90.00 __ 862051 LaValle/Planning Algorithms...... Hb $60.00 __ 683378 Shonkwiler/Intro to Parallel Vector Sci Comput...... Pb $39.99 __ 851556 Lewis/Lakshmivarahan/Dhal/Dynamic Data __ 851548 Shoup/Comp Intro Number Theory Algebra...... Hb $55.00 Assimilation ...... Hb $145.00 __ 834503 Sinha/Quantum Stochastic Non Comm Geo ...... Hb $90.00* __ 82740X Loepp/Protecting Information...... Hb $80.00 __ 823560 Stephenson/Introduction to Circle Packing ...... Hb $60.00 __ 534763 Loepp/Protecting Information...... Pb $29.99 __ 695244 Street/Quantum Groups...... Pb $50.00* __ 683092 Lossen/Singularities and Computer Algebra...... Pb $75.00 __ 868130 Sturman/Ottino/Wiggins/Mathematical Foundations __ 852404 Lucas/Molecular Models for Fluids...... Hb $95.00* of Mixing ...... Hb $75.00 __ 857295 Lynch/Emergence of Numerical Weather Pred ...... Hb $75.00 __ 847664 Suhov/Probability Statistics Example v1...... Hb $110.00 __ 861160 Maindonald/Data Analysis Graphics Using R 2ed ...... Hb $80.00 __ 612330 Suhov/Probability Statistics Example v1...... Pb $50.00 __ 834414 Majda/Nonlin Dyn Stat Thy Basic Geo Flows ...... Hb $90.00 __ 688604 Swanson/Intgrl Closure Ideals Rings Modules ...... Pb $65.00 __ 863007 Marcus/Markov Gaussian Local Times...... Hb $90.00 __ 852315 Talbot/Complexity and Cryptography ...... Hb $95.00 __ 793475 Markoe/EOM: Analytic Tomography...... Hb $100.00 __ 617715 Talbot/Complexity and Cryptography ...... Pb $50.00 __ 865549 Martin/Multiple Scattering...... Hb $140.00 __ 853869 Tao/Additive Combinatorics ...... Hb $85.00 __ 850649 Meyer/Poincaré Algebras Macauley Sys Ops ...... Hb $75.00 __ 850142 Tattersall/Elementary Number Theory 9 Chap 2ed .....Hb $85.00 __ 866251 Michler/Theory Finite Simple Groups ...... Hb $145.00 __ 615240 Tattersall/Elementary Number Theory 9 Chap 2ed .....Pb $34.99 __ 617979 Minsky/Sakuma/Series/Spaces of Kleinian Groups...... Pb $70.00 __ 810523 Taylor/Social Choice Mathematic Manipulatn ...... Hb $70.00 __ 849039 Montgomery/Multiplicative Number Theory I...... Hb $90.00 __ 008832 Taylor/Social Choice Mathematic Manipulatn ...... Pb $24.99 __ 613051 Moore/Global Analysis Foliated Spaces 2ed ...... Pb $39.99 __ 839122 Tél/Chaotic Dynamics...... Hb $120.00 __ 811562 Mora/EOM: 99 Solv Polynom Equations II...... Hb $150.00 __ 547830 Tél/Chaotic Dynamics...... Pb $60.00 __ 866812 Morgan/Speaking about Science ...... Hb $60.00 __ 689473 Topping/Lectures on the Ricci Flow...... Pb $45.00 __ 683459 Morgan/Speaking about Science ...... Pb $22.99 __ 852242 Valtonen/The Three-Body Problem ...... Hb $80.00 __ 607930 Morton/Numerical Solution Dif Equation 2ed ...... Pb $45.00 __ 864852 Van Assche/Quantum Crypto Secret-Key Distill...... Hb $80.00 __ 815134 Narasimhan/Geometric Spanner Networks ...... Hb $80.00* __ 861241 Velleman/How To Prove It 2ed ...... Hb $75.00 __ 858526 Nica/Lectures Comb Free Probability...... Pb $80.00 __ 675995 Velleman/How To Prove It 2ed ...... Pb $29.99 __ 842425 Oitmaa/Hamer/Zheng/Series Exp MethLattice Models Hb $130.00

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