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How to order Selected titles at half price E-mail [email protected] [email protected] The Yellow Sale this year features 400 specially selected titles for Visit springer.com/booksales Use the enclosed order form mathematicians everywhere. All list prices have been slashed; most sale prices are half price so you can afford to get the best. Contact your local bookseller or one of our recommended booksellers Buy now! Call +49 (0) 6221-345-0 Don’t wait, pick your favorites and send your purchase order now. (Springer Customer Service) Although Springer makes every effort to re-stock, some books may be Please note limited in quantity. 7 The books in this catalogue are arranged by language and then alphabetically by author‘s last name Deadline July 31, 2010 7 Some stocks may be limited and are subject to availability Orders that arrive on July 31 at Springer Customer Service Center will still 7 This sale is not valid in North receive the Yellow Sale discounted price, even if the shipment does not and South America leave our warehouse until later. 7 Prices are subject to change without notice 7 All prices are exclusive of carriage charges. All errors Springer quality you can count on and omissions excepted First-rate authors guarantee the high level of content that remains VAT for books timeless over the years. All titles in the sale are proven bestsellers and France 5.5% Italy 4.0% highly recommended for any library, university or student of mathematics. Spain 4.0% See for yourself, go to springer.com for full information about any of these Please add your country’s sales tax to the recommended retail prices. books or other Springer publications. * The € (D) for Germany includes 7% VAT for books, the € (A) for Austria includes 10% VAT for books.

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S. Abbott, Middlebury College, Middlebury, VT, USA D. Abramovich, Brown University, Providence, RI, . P. Agarwal, Florida Institute of Technology, Understanding Analysis USA; M. Marino, University of Geneva, Switzerland; Melbourne, FL, USA; D. O'Regan, National University M. Thaddeus, Columbia University, New York, NY, of Ireland, Galway, Ireland This elementary presentation exposes readers USA; R. Vakil, Stanford University, Stanford, CA, USA An Introduction to Ordinary to both the process of rigor and the rewards Enumerative Invariants in inherent in taking an axiomatic approach to the Differential Equations Algebraic Geometry and String study of functions of a real variable. The aim is Ordinary differential equations serve as to challenge and improve mathematical intuition Theory mathematical models for many exciting real rather than to verify it. The philosophy of this Lectures given at the C.I.M.E. Summer School held world problems. This textbook organizes book is to focus attention on questions which in Cetraro, Italy, June 6–11, 2005 material around theorems and proofs, give analysis its inherent fascination. Each comprising of 42 class-tested lectures that There has been a growing interaction between chapter begins with the discussion of some effectively convey the subject in easily manage- algebraic geometry and certain areas of motivating examples and concludes with a able sections. series of questions. theoretical high-energy physics. This volume, a result of the CIME Summer School held in 2008. XII, 326 p. 8 illus. (Universitext) Softcover Cetraro, Italy, in 2005, covers the most inter- 1st ed. 2001. Corr. 2nd printing 2002. XII, 257 p. ISBN 7 978-0-387-71275-8 32 illus. (Undergraduate Texts in Mathematics) esting findings in this subject. Hardcover List price ISBN 7 978-0-387-95060-0 2008. X, 210 p. 30 illus. (Lecture Notes in Math- 7 € 39,95 | £35.99 ematics / Fondazione C.I.M.E., Firenze, Volume 1947) 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 List price Softcover Sale price 7 € 39,95 | £36.99 ISBN 7 978-3-540-79813-2 7 * € (D) 42,75 | € (A) 43,95 | sFr 63,50 7 € 26,95 | £24.99 List price 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 Sale price 7 € 39,95 | £35.99 7 € 22,95 | £20.99 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 9 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 Sale price 9 7 € 26,95 | £24.99 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 R. Ahlswede, Universität Bielefeld, Germany; V. Blinovsky, Russian Academy of Sciences, Moscow, 9 Russia P. Abramenko, University of Virginia, Charlottesville, VA, USA; K. S. Brown, Cornell University, Ithaca, NY, Lectures on Advances in USA Combinatorics W. A. Adkins, S. H. Weintraub, Louisiana State Buildings University, Baton Rouge, LA, USA This volume features lectures that focus on basis Theory and Applications extremal problems and inequalities – two sides Algebra of the same coin. Additionally, the lectures help Covering all three approaches to Jacques Tits's An Approach via Module Theory prepare approaches and methods useful and beautiful theory of buildings, this accessible applicable in a broader mathematical context. volume is suitable as a textbook introduction This book is designed as a text for a first-year graduate algebra course. The choice of topics is to the subject as well as a self-study text for 2008. XIII, 314 p. 3 illus. (Universitext) Softcover guided by the underlying theme of modules as a researchers. It contains numerous exercises. ISBN 7 978-3-540-78601-6 basic unifying concept in mathematics. The book 2008. XXII, 754 p. 100 illus. (Graduate Texts in emphasizes proofs with a maximum of insight List price Mathematics, Volume 248) Hardcover and a minimum of computation in order to 7 € 39,95 | £35.99 ISBN 7 978-0-387-78834-0 promote understanding. However, extensive 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 material on computation (for example, comput- Sale price List price ation of canonical forms) is provided. 7 € 46,95 | £42.99 7 € 26,95 | £24.99 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 7 * € (D) 50,24 | € (A) 51,65 | sFr 73,00 1st ed. 1992. Corr. 2nd printing 1999. X, 526 p. Sale price (Graduate Texts in Mathematics, Volume 136) Hardcover 9 7 € 29,95 | £26.99 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 ISBN 7 978-0-387-97839-0 List price 9 7 € 59,95 | £53.99 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 Sale price 7 € 32,95 | £29.99 97 * € (D) 35,26 | € (A) 36,25 | sFr 51,50

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M. Aigner, Freie Universität Berlin, Germany G. Allaire, CMAP École Polytechnique, Palaiseau, H. Ammari, École Polytechnique, Palaiseau, France A Course in Enumeration France; S. M. Kaber, Université Pierre et Marie Curie, An Introduction to Mathematics Paris, France of Emerging Biomedical Combinatorial enumeration is a readily Numerical Linear Algebra accessible subject full of easily stated, but Imaging sometimes tantalizingly difficult problems. Translated by K. Trabelsi This book highlights recent mathematical This book leads the reader in a leisurely way Unlike the many other textbooks on the topic developments in emerging biomedical imaging from basic notions of combinatorial enumer- of linear algebra, this book includes math- techniques, with a focus on multi-physics and ation to advanced topics, ranging from algebra ematical and computational chapters along multi-scales imaging approaches. It provides the to statistical physics. with examples and exercises with Matlab. basic mathematical concepts and tools for image The authors use both Matlab and reconstruction. 2007. X, 565 p. 55 illus. (Graduate Texts in as well as covering core standard Mathematics, Volume 238) Hardcover material. 2008. X, 198 p. 16 illus. (Mathématiques et ISBN 7 978-3-540-39032-9 Applications, Volume 62) Softcover List price 2008. XII, 276 p. (Texts in Applied Mathematics, ISBN 7 978-3-540-79552-0 7 € 64,95 | £58.99 Volume 55) Hardcover List price 7 * € (D) 69,50 | € (A) 71,45 | sFr 101,00 ISBN 7 978-0-387-34159-0 7 € 43,60 | £39.99 Sale price List price 7 * € (D) 46,65 | € (A) 47,96 | sFr 68,00 7 € 39,95 | £35.99 7 € 49,95 | £44.99 Sale price 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 € 26,95 | £24.99 Sale price 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 9 7 € 32,95 | £29.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 9 J. M. Aldous, R. J. Wilson, The Open University, 9 Milton Keynes, UK F. W. Anderson, University of Oregon, Eugene, OR, Graphs and Applications USA; K. R. Fuller, University of Iowa, Iowa City, IA, K. T. Alligood, T. D. Sauer, George Mason University, USA An Introductory Approach Fairfax, VA, USA; J. A. Yorke, University of Maryland, Discrete Mathematics is one of the fastest College Park, MD, USA Rings and Categories of growing areas in mathematics today with an Chaos Modules ever-increasing number of courses in schools This book is intended to provide a self- and universities. Graphs and Applications is An Introduction to Dynamical Systems contained account of much of the theory of based on a highly successful Open University Spanning the wide reach of nonlinear dynamics rings and modules. The theme of the text course and the authors have paid particular throughout mathematics and the natural and throughout is the relationship between the attention to the presentation, clarity and physical sciences, this book develops and one-sided ideal structure a ring may possess arrangement of the material, making it ideally explains the most intriguing and fundamental and the behavior of its categories of modules. suited for independent study and classroom use. elements of the topic. Among the major topics Includes a large number of examples, problems included are discrete dynamical systems, chaos, 2nd ed. 1992. X, 392 p. (Graduate Texts in and exercises. fractals, nonlinear differential equations, and Mathematics, Volume 13) Hardcover bifurcations. Developed and class-tested by a ISBN 7 978-0-387-97845-1 1st ed. 2000. Corr. 3rd printing 2003. XI, 444 p. distinguished team of authors, this text is ideal 644 illus. With CD-ROM. Softcover for courses in nonlinear dynamics in either List price ISBN 7 978-1-85233-259-4 mathematics or physics. 7 € 69,95 | £62.99 7 * € (D) 74,85 | € (A) 76,95 | sFr 109,00 List price 7 € 44,95 | £35.99 1st ed. 1997. Corr. 3rd printing 2000. XVIII, 603 p. Sale price 303 illus., 25 in color. (Textbooks in Mathematical 7 * € (D) 48,10 | € (A) 49,45 | sFr 75,00 7 € 38,95 | £35.99 Sciences) Softcover 7 * € (D) 41,68 | € (A) 42,85 | sFr 60,50 Sale price ISBN 7 978-0-387-94677-1 7 € 22,95 | £20.99 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 List price 9 7 € 49,95 | £44.99 9 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 Sale price 7 € 24,95 | £22.99 97 * € (D) 26,70 | € (A) 27,45 | sFr 39,00

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T. M. Apostol, California Institute of Technology, I. K. Argyros, Cameron University, Lawton, OK, USA V. I. Arnold, Russian Academy of Sciences, Moscow, Pasadena, CA, USA Convergence and Applications Russia, CIS Introduction to Analytic of Newton-type Iterations Ordinary Differential Equations Number Theory This book presents iterative methods for solving Translated from the Russian by R. Cooke nonlinear equations. It applies theoretical Few books on Ordinary Differential Equations From the reviews 7 This book is the first volume results to engineering, dynamic economic (ODEs) have the elegant geometric insight of of a two-volume textbook for undergraduates and systems, input-output systems, nonlinear and this one, which puts emphasis on the qualitative is indeed the crystallization of a course offered by linear differential equations, and optimization and geometric properties of ODEs and their the author at the California Institute of problems. solutions, rather than on routine presentation of Technology to undergraduates without any algorithms. previous knowledge of number theory. For this 2008. XVI, 56 p. Hardcover reason, the book starts with the most elementary From the reviews 7 Professor Arnold has ISBN 7 978-0-387-72741-7 properties of the natural integers. Nevertheless, expanded his classic book to include new material the text succeeds in presenting an enormous List price on exponential growth, predator-prey, the amount of material in little more than 300 pages. 7 € 54,95 | £49.99 pendulum, impulse response, symmetry groups 7 Mathematical Reviews 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 and group actions, perturbation and bifurcation. 7 SIAM Review Sale price 1st ed. 1976. Corr. 5th printing 1998. XII, 338 p. 7 € 32,95 | £29.99 24 illus. (Undergraduate Texts in Mathematics) 1st ed 1992. 2nd printing 2006. IV, 334 p. 272 illus. 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 Hardcover (Universitext) Softcover ISBN 7 978-0-387-90163-3 9 ISBN 7 978-3-540-34563-3 List price List price 7 € 52,95 | £46.99 7 € 49,95 | £39.99 7 * € (D) 56,66 | € (A) 58,25 | sFr 80,50 7 * € (D) 53,45 | € (A) 54,95 | sFr 83,00 M. A. Armstrong, University of Durham, UK Sale price Sale price 7 € 29,95 | £26.99 Groups and Symmetry 7 € 24,95 | £22.99 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 This is a gentle introduction to the vocabulary 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 and many of the highlights of elementary group 9 theory. Written in an informal style, the 9 material is divided into short sections, each of which deals with an important result or a new idea. Includes more than 300 exercises and E. Arbarello, M. Cornalba, P. A. Griffiths, J. D. Harris K. A. Arwini, Al-Fateh University, Tripoli, Libya; approximately 60 illustrations. Geometry of Algebraic Curves C. T. Dodson, University of Manchester, UK 1st ed. 1988. Corr. 2nd printing 1997. XI, 186 p. Volume 1 Information Geometry 54 illus. (Undergraduate Texts in Mathematics) Near Randomness and Near Independence From the contents 7 Preliminaries 7 Determin- Hardcover This volume uses information geometry to give antal Varieties 7 Introduction to Special ISBN 7 978-0-387-96675-5 a common differential geometric framework Divisors 7 The Varieties of Special Linear Series List price for a wide range of illustrative applications on a Curve 7 The Basic Results of the Brill- 7 € 49,95 | £44.99 including amino acid sequence spacings, Noether Theory7 The Geometric Theory of 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 cryptology studies, clustering of communi- Riemann's Theta Function. Varieties7 The cations and galaxies, and cosmological voids. Existence and Connectedness Theorems for Sale price Wrd(C) 7 Enumerative Geometry of Curves 7 € 29,95 | £26.99 2008. X, 260 p. 103 illus. (Lecture Notes in 7 Bibliography 7 Index. 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 Mathematics, Volume 1953) Softcover ISBN 7 978-3-540-69391-8 2007. (Grundlehren der mathematischen 9 Wissenschaften, Volume 267) Hardcover List price ISBN 7 978-0-387-90997-4 7 € 39,95 | £35.99 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 List price 7 € 89,95 | £71.00 Sale price 7 * € (D) 96,25 | € (A) 98,95 | sFr 149,50 7 € 26,95 | £24.99 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 Sale price 7 € 52,95 | £47.99 7 * € (D) 56,66 | € (A) 58,25 | sFr 82,50 9 9

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S. Asmussen, Aarhus University, Aarhus, Denmark; G. Aubert, P. Kornprobst K. Back, Texas A&M University, College Station, TX, P. W. Glynn, Stanford University, Stanford, CA, USA Mathematical Problems in USA Stochastic Simulation: Image Processing A Course in Derivative Securities Algorithms and Analysis Partial Differential Equations and the Calculus of Introduction to Theory and Computation This book provides a broad treatment of Variations From the reviews 7 Deals with pricing and sampling-based computational methods, The 2nd edition presents image analysis hedging financial derivatives.… Computational as well as accompanying mathematical analysis applications, outlines their precise mathematics methods are introduced and the text contains the of the convergence properties of the methods and shows how to discretize them. It reviews Excel VBA routines corresponding to the discussed. General methods and model-specific progress in image processing applications formulas and procedures described in the book. algorithms are discussed. covered by the PDE framework, and updates the This is valuable since computer simulation can existing material. Also provides programming help readers understand the theory….The book… 2007. XIV, 482 p. 45 illus., 1 in color. (Stochastic tools for creating simulations. succeeds in presenting intuitively advanced Modelling and Applied Probability, Volume 57) derivative modelling… it provides a useful bridge Hardcover 2nd ed. 2006. XXXII, 377 p. 100 illus. (Applied Math- between introductory books and the more ISBN 7 978-0-387-30679-7 ematical Sciences, Volume 147) Hardcover advanced literature. 7 Mathematical Reviews List price ISBN 7 978-0-387-32200-1 7 € 49,95 | £43.99 List price 2005. XV, 355 p. (Springer Finance) Hardcover 7 * € (D) 53,45 | € (A) 54,95 | sFr 75,00 7 € 54,95 | £49.99 ISBN 7 978-3-540-25373-0 Sale price 7 * € (D) 58,80 | € (A) 60,45 | sFr 86,50 List price 7 € 29,95 | £26.99 Sale price 7 € 59,95 | £53.99 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 7 € 32,95 | £29.99 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 Sale price 9 7 € 34,95 | £31.99 9 7 * € (D) 37,40 | € (A) 38,45 | sFr 54,50 A. Astolfi, D. Karagiannis, Imperial College, London, 9 UK; R. Ortega, Centre National de la Recherche D. Auroux, F. Catanese, M. Manetti, P. Seidel, Scientifique, Gif-sur-Yvette, France B. Siebert, I. Smith, G. Tian Nonlinear and Adaptive Control Symplectic 4-Manifolds and J. Bak, Columbia University, New York, NY, USA; with Applications D. J. Newman, Temple University, Philadelphia, PA, Algebraic Surfaces USA The authors here provide a detailed treatment of Lectures given at the C.I.M.E. Summer School held the design of robust adaptive controllers for in Cetraro, Italy, September 2-10, 2003 Complex Analysis nonlinear systems with uncertainties. They Modern approaches to the study of symplectic This unusually lively textbook introduces the employ a new tool based on the ideas of system 4-manifolds and algebraic surfaces combine theory of analytic functions, explores its diverse immersion and manifold invariance. New a wide range of techniques and sources of applications and shows the reader how to algorithms are delivered for the construction of inspiration. Gauge theory, symplectic geometry, harness its powerful techniques. The book offers robust asymptotically stabilizing and adaptive pseudoholomorphic curves, singularity theory, new and interesting motivations for classical control laws for nonlinear systems. The methods moduli spaces, braid groups, monodromy, results and introduces related topics that do not proposed lead to modular schemes that are in addition to classical topology and algebraic appear in this form in other texts. For the easier to tune than their counterparts obtained geometry, combine to make this one of the second edition, the authors have revised some from Lyapunov redesign. most vibrant and active areas of research in of the existing material and have provided new mathematics. exercises and solutions. 2008. XVI, 290 p. 75 illus. (Communications and Control Engineering) Hardcover 2008. XIV, 354 p. 15 illus. (Lecture Notes in Math- 2nd ed. 1996. Corr. 2nd printing 1999. X, 294 p. ISBN 7 978-1-84800-065-0 ematics / Fondazione C.I.M.E., Firenze, Volume 1938) 69 illus. (Undergraduate Texts in Mathematics) List price Softcover Hardcover 7 € 79,95 | £72.00 ISBN 7 978-3-540-78278-0 ISBN 7 978-0-387-94756-3 7 * € (D) 85,55 | € (A) 87,95 | sFr 124,50 List price List price Sale price 7 € 49,95 | £44.99 7 € 59,95 | £53.99 7 € 49,95 | £44.99 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 Sale price Sale price 7 € 32,95 | £29.99 7 € 32,95 | £29.99 9 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 9 9

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M. Bartholomew-Biggs, University of Hertfordshire, A. F. Beardon, University of Cambridge, UK C. A. Berenstein, University of Maryland, College Hatfield, UK The Geometry of Discrete Park, MD, USA; R. Gay, University of Bordeaux, France Nonlinear Optimization with Groups Engineering Applications Complex Variables This text is about the geometric theory of This book examines problems in science and discrete groups and the associated tesselations An Introduction engineering, describing key numerical methods of the underlying space. The theory of Möbius Topics include a detailed description of applied to real life. It includes case studies in transformations in n-dimensional Euclidean differential forms, homotopy theory, and such areas as vehicle route planning and optimal space is developed. A detailed account of homology theory, as the analytic properties control, scheduling and resource allocation, and analytic hyperbolic trigonometry is given, of holomorphic functions, the solvability of worst-case analysis. and this forms the basis of the subsequent the inhomogeneous Cauchy-Riemann equation analysis of tesselations of the hyperbolic plane. with emphasis on the notation of compact 2008. XVI, 280 p. 15 illus. (Springer Optimization families, the theory of growth of subharmonic and Its Applications, Volume 19) Hardcover 1st ed. 1983. Corr. 2nd printing 1995. XII, 337 p. functions, and an introduction to the theory of ISBN 7 978-0-387-78722-0 93 illus. (Graduate Texts in Mathematics, sheaves, covering spaces and Riemann surfaces. Volume 91) Hardcover Includes many exercises. List price ISBN 7 978-0-387-90788-8 7 € 46,95 | £42.99 1st ed. 1991. Corr. 2nd printing 1997. XII, 650 p. 7 * € (D) 50,24 | € (A) 51,65 | sFr 73,00 List price 68 illus. (Graduate Texts in Mathematics, 7 € 66,95 | £59.99 Sale price Volume 125) Hardcover 7 * € (D) 71,64 | € (A) 73,65 | sFr 104,00 7 € 29,95 | £26.99 ISBN 7 978-0-387-97349-4 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 Sale price List price 7 € 36,95 | £33.99 7 € 69,95 | £62.99 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 9 7 * € (D) 74,85 | € (A) 76,95 | sFr 109,00 9 Sale price 7 € 38,95 | £35.99 S. Barwick, University of Adelaide, SA, Australia; 7 * € (D) 41,68 | € (A) 42,85 | sFr 60,50 G. Ebert, University of Delaware, Newark, DE, USA Unitals in Projective Planes R. Benedetti, University of Pisa, Italy; 9 C. Petronio, Pisa, Italy This clearly written text is the first book on Lectures on Hyperbolic unitals embedded in finite projective planes. It provides a thorough survey of the research Geometry M. Berger, Institut des Hautes Études Scientifiques literature on embedded unitals. The book is The development of the main theme requires Bures-sur-Yvette, France well-structured with excellent diagrams and setting a wide background forming the body A Panoramic View of a comprehensive bibliography. of the book: the classical geometry of the Riemannian Geometry hyperbolic space, the Fenchel-Nielsen 2008. XII, 196 p. 29 illus. (Springer Monographs parametrization of the Teichmüller space, This book introduces readers to the living topics in Mathematics) Hardcover Mostow's rigidity theorem, Margulis' lemma. of Riemannian Geometry and details the main ISBN 7 978-0-387-76364-4 As a conclusion some features of bounded results known to date. The results are stated List price cohomology, flat fiber bundles and amenable without detailed proofs but the main ideas 7 € 54,95 | £49.99 groups are mentioned. involved are described, affording the reader a 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 sweeping panoramic view of almost the entirety 1st ed. 1992. 2nd printing 2003. XIV, 332 p. 175 illus. of the field. Sale price (Universitext) Softcover 7 € 32,95 | £29.99 ISBN 7 978-3-540-55534-6 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 1st ed. 2003. Corr. 2nd printing 2003. XXIV, 826 p. List price 424 illus. Hardcover 7 € 39,95 | £34.99 9 ISBN 7 978-3-540-65317-2 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 List price Sale price 7 € 59,95 | £47.99 7 € 19,95 | £17.99 7 * € (D) 64,15 | € (A) 65,95 | sFr 99,50 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 Sale price 9 7 € 34,95 | £31.99 97 * € (D) 37,40 | € (A) 38,45 | sFr 54,50

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M. Berger, Bures-sur-Yvette, France; B. Gostiaux, M. Berger, Institute des Hautes Etudes Scientifiques, P. Biane, L. Bouten, F. Cipriani, N. Konno, Le Perreux, France Bures-sur-Yvette, France N. Privault, Q. Xu, Differential Geometry Geometry II Quantum Potential Theory Manifolds, Curves, and Surfaces Translated from the French by M. Cole, S. Levy This book offers the revised and completed Translated from the French by S. Levy This is the second of a two-volume textbook notes of lectures given at the 2007 conference, "Quantum Potential Theory: Structures and An introduction to modern differential that provides a very readable and lively Applications to Physics." These lectures provide geometry. The authors begin with the necessary presentation of large parts of geometry in the an introduction to the theory and discuss tools from analysis and topology, including classical sense. For each topic the author various applications. Sard's theorem, de Rham cohomology, calculus presents a theorem that is esthetically pleasing on manifolds, and a degree theory. The general and easily stated, although the proof may be 2008. XII, 464 p. 18 illus. (Lecture Notes in theory is illustrated and expanded using the quite hard and concealed. Yet another strong Mathematics, Volume 1954) Softcover examples of curves and surfaces. In particular, trait of the book is that it provides a comprehen- ISBN 7 978-3-540-69364-2 the book contains the classical local and global sive and unified reference source for the field of theory of surfaces. geometry in the full breadth of its subfields and List price ramifications. 7 € 59,95 | £53.99 1988. XII, 474 p. 249 illus. (Graduate Texts in 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 Mathematics, Volume 115) Hardcover 1st ed. 1987. Corr. 4th printing 2009. X, 406 p. Sale price ISBN 7 978-0-387-96626-7 364 illus. (Universitext) Softcover ISBN 7 978-3-540-17015-0 7 € 36,95 | £33.99 List price 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 7 € 66,95 | £59.99 List price 7 * € (D) 71,64 | € (A) 73,65 | sFr 104,00 7 € 49,95 | £44.99 9 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 Sale price 7 € 36,95 | £33.99 Sale price 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 7 € 32,95 | £29.99 C. Birkenhake, H. Lange, Universität Erlangen- 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 Nürnberg, Erlangen, Germany 9 9 Complex Abelian Varieties This book explores the theory of abelian varieties over the field of complex numbers, M. Berger, Bures-sur-Yvette, France N. Berline, École Polytechnique, Palaiseau, France; explaining both classic and recent results in Geometry I E. Getzler, Northwestern University, Evanston, IL, modern language. The second edition adds five chapters on recent results including auto- Translated from the French by M. Cole, S. Levy USA; M. Vergne, École Polytechnique, Palaiseau, France morphisms and vector bundles on abelian The first part of a two-volume text providing varieties, algebraic cycles and the Hodge a readable and lively presentation of large parts Heat Kernels and Dirac conjecture. of geometry in the classical sense, this book Operators appeals systematically to the reader's intuition From the reviews 7 . . . far more readable than and vision, and illustrates the mathematical text This compact soft-cover edition presents simple most . . . it is also much more complete. with many figures. proofs of the Atiyah-Singer Index Theorem for 7 Olivier Debarre, Mathematical Reviews, 1994 Dirac operators on compact Riemannian 1st ed. 1987. Corr. 4th printing 2009. XIV, 430 p. manifolds and its generalizations. The book 2nd augmented ed. 2004. XII, 638 p. (Grundlehren (Universitext) Softcover discusses the applications of linear elliptic der mathematischen Wissenschaften, Volume 302) ISBN 7 978-3-540-11658-5 operators in differential geometry, the equi- Hardcover variant index theorem, and provides a proof of ISBN 7 978-3-540-20488-6 List price Bismut's Local Family Index Theorem for Dirac List price 7 € 49,95 | £44.99 operators. 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 € 89,95 | £81.00 7 * € (D) 96,25 | € (A) 98,95 | sFr 140,00 Sale price 2004. X, 363 p. (Grundlehren Text Editions) Softcover 7 € 32,95 | £29.99 ISBN 7 978-3-540-20062-8 Sale price 7 € 52,95 | £47.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 List price 7 * € (D) 56,66 | € (A) 58,25 | sFr 82,50 7 € 49,95 | £39.99 9 7 * € (D) 53,45 | € (A) 54,95 | sFr 83,00 9 Sale price 7 € 24,95 | £22.99 97 * € (D) 26,70 | € (A) 27,45 | sFr 39,00

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B. Blackadar, University of Nevada, Reno, NV, USA T. Blyth, University of St. Andrews, UK A. Bondeson, T. Rylander, P. Ingelström, Chalmers Operator Algebras Lattices and Ordered Algebraic University of Technology, Göteborg, Sweden Theory of C*-Algebras and von Neumann Structures Computational Algebras Electromagnetics From the reviews 7 The text can serve as an This book offers a comprehensive introduction Computational electromagnetics is a growing introduction to fundamentals in the respective to the general theory of C*-algebras and von discipline, expanding as a result of the steadily areas from a residuated-maps perspective and Neumann algebras. Beginning with the basics, increasing demand for software for the design with an eye on coordinatization. The historical the theory is developed through such topics and analysis of electrical devices. This book notes that are interspersed are also worth as tensor products, nuclearity and exactness, introduces three of the most popular numerical mentioning.…The exposition is thorough and all crossed products, K-theory, and quasidiag- methods for simulating electromagnetic fields: proofs that the reviewer checked were highly onality. The presentation carefully and precisely the finite difference method, the finite element polished.…Overall, the book is a well-done explains the main features of each part of the method and the method of moments. It con- introduction from a distinct point of view and theory of operator algebras; most important tains several MATLAB programs and details with exposure to the author’s research expertise. arguments are at least outlined and many are practical issues to help students write their own 7 Mathematical Reviews presented in full detail. programs. 2005. X, 310 p. (Universitext) Hardcover 2006. XX, 517 p. (Encyclopaedia of Mathematical 2005. XXII, 222 p. 74 illus. (Texts in Applied ISBN 7 978-1-85233-905-0 Sciences, Volume 122) Hardcover Mathematics, Volume 51) Hardcover ISBN 7 978-3-540-28486-4 List price ISBN 7 978-0-387-26158-4 7 € 69,95 | £45.00 List price List price 7 * € (D) 74,85 | € (A) 76,95 | sFr 116,50 7 € 114,95 | £103.50 7 € 54,95 | £49.99 7 * € (D) 123,00 | € (A) 126,45 | sFr 178,50 Sale price 7 * € (D) 58,80 | € (A) 60,45 | sFr 86,50 7 € 42,95 | £38.99 Sale price Sale price 7 * € (D) 45,96 | € (A) 47,25 | sFr 67,00 7 € 69,95 | £62.99 7 € 32,95 | £29.99 97 * € (D) 74,85 | € (A) 76,95 | sFr 10,90 9 97 * € (D) 35,26 | € (A) 36,25 | sFr 51,50

J. Bochnak, Vrije Universiteit, Amsterdam, The Neth- erlands; M. Coste, M. Roy, Université de Rennes 1, A. Bloch, University of Michigan, Ann Arbor, MI, USA A. Bondy, Université Claude Bernard, Lyon, France; France U. S. Murty, University of Waterloo, ON, Canada Nonholonomic Mechanics and Real Algebraic Geometry Control Graph Theory This book is a systematic treatment of real The primary aim of this book is to present a This book explores connections between control algebraic geometry. It is carefully and clearly coherent introduction to graph theory, suitable theory and geometric mechanics. The author written; it starts with the basic concepts and as a textbook for advanced undergraduate and links control theory with a geometric view of leads to up-to-date research topics. The present beginning graduate students in mathematics classical mechanics in both its Lagrangian and volume is a translation, revision and updating of and computer science. It provides a systematic Hamiltonian formulations, and in particular ‘Ergebnisse’ Vol.12, published in French in 1987. treatment of the theory of graphs without with the theory of mechanical systems subject Many new developments in this field have been sacrificing its intuitive and aesthetic appeal. to motion constraints. included in this book. Commonly used proof techniques are described and illustrated. The book also serves as an 1st ed. 2003. Corr. 2nd printing 2007. XIX, 483 p. 1998. IX, 430 p. (Ergebnisse der Mathematik und introduction to research in graph theory. 49 illus. (Interdisciplinary Applied Mathematics, ihrer Grenzgebiete. 3. Folge / A Series of Modern Volume 24) Hardcover Surveys in Mathematics, Volume 36) Hardcover 2008. XII, 654 p. 235 illus. (Graduate Texts in ISBN 7 978-0-387-95535-3 ISBN 7 978-3-540-64663-1 Mathematics, Volume 244) Hardcover List price List price ISBN 7 978-1-84628-969-9 7 € 66,95 | £59.99 7 € 149,95 | £118.50 List price 7 * € (D) 71,64 | € (A) 73,65 | sFr 104,00 7 * € (D) 160,45 | € (A) 164,95 | sFr 249,00 7 € 54,95 | £46.00 Sale price Sale price 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 7 € 39,95 | £35.99 7 € 82,95 | £74.99 Sale price 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 7 * € (D) 88,76 | € (A) 91,25 | sFr 12,90 7 € 32,95 | £29.99 9 9 97 * € (D) 35,26 | € (A) 36,25 | sFr 51,50

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J. Borwein, Dalhousie University, Halifax, NS, R. Bott, Harvard University, Cambridge, MA, USA; N. Bourbaki, Paris, France Canada; A. S. Lewis, Cornell University, Ithaca, NY, L. W. Tu, Tufts University, Medford, MA, USA Lie Groups and Lie Algebras USA Differential Forms in Algebraic Chapters 4–6 Convex Analysis and Nonlinear Topology Optimization This is the soft cover reprint of the English Here is an informal introduction to some of the translation of Bourbaki's text Groupes et Theory and Examples main ideas of contemporary homotopy and Algèbres de Lie, Chapters 4 to 6. Optimization is a rich and thriving mathemat- cohomology theory. The materials are struc- ical discipline, and the underlying theory of tured around four core areas: de Rham theory, 1st ed. 2002. 2nd printing 2008. XII, 300 p. Softcover current computational optimization techniques the Cech-de Rham complex, spectral sequences, ISBN 7 978-3-540-69171-6 and characteristic classes. By using the de Rham grows ever more sophisticated. This book List price theory of differential forms as a prototype aims to provide a concise, accessible account 7 € 49,95 | £44.99 of cohomology, the machineries of algebraic of convex analysis and its applications and 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 extensions, for a broad audience. Each section topology are made easier to assimilate. This concludes with an often extensive set of optional book is equally suitable for self-study and as Sale price exercises. This new edition adds material on a one-semester course in topology. 7 € 32,95 | £29.99 semismooth optimization, as well as several 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 new proofs. 1st ed. 1982. Corr. 3rd printing 1995. XIV, 331 p. 92 illus. (Graduate Texts in Mathematics, Volume 82) 9 2nd ed. 2006. XII, 310 p. (CMS Books in Hardcover Mathematics) Hardcover ISBN 7 978-0-387-90613-3 ISBN 978-0-387-29570-1 7 List price N. Bourbaki, Paris, France € 54,95 | £49.99 List price 7 Lie Groups and Lie Algebras 7 € 59,95 | £49.99 7 * € (D) 58,80 | € (A) 60,45 | sFr 86,50 Chapters 7–9 7 * € (D) 64,15 | € (A) 65,95 | sFr 86,50 Sale price This is the soft cover reprint of the English Sale price 7 € 29,95 | £26.99 translation of Bourbaki's text Groupes et 7 € 34,95 | £31.99 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 Algèbres de Lie, Chapters 7 to 9. It covers the 7 * € (D) 37,40 | € (A) 38,45 | sFr 54,50 9 structure and representation theory of semi-simple Lie algebras and compact Lie 9 groups.

N. Bourbaki, Paris, France 1st ed. 2005. 2nd printing 2008. XII, 434 p. Softcover S. Bosch, W. Lütkebohmert, University of Münster, Commutative Algebra ISBN 7 978-3-540-68851-8 Germany; M. Raynaud, University of Paris-Sud, List price France Chapters 1–7 7 € 49,95 | £44.99 This is the softcover reprint of the English Neron Models 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 translation of 1972 (available from Springer Néron models were invented by A. Néron in since 1989) of the first 7 chapters of Bourbaki's Sale price the early 1960s in order to study the integral 'Algèbre commutative'. It provides a very 7 € 32,95 | £29.99 structure of abelian varieties over number fields. complete treatment of commutative algebra, 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 Since then, arithmeticians and algebraic enabling the reader to go further and study geometers have applied the theory of Néron algebraic or arithmetic geometry. Useful 9 models with great success. exercises appear at the ends of the chapters.

1990. X, 325 p. 4 illus. (Ergebnisse der Mathematik 1st ed. 1989. 2nd printing 1998. XXIV, 656 p. und ihrer Grenzgebiete. 3. Folge / A Series of Softcover Modern Surveys in Mathematics, Volume 21) ISBN 7 978-3-540-64239-8 Hardcover List price ISBN 7 978-3-540-50587-7 7 € 49,95 | £39.99 List price 7 * € (D) 53,45 | € (A) 54,95 | sFr 83,00 7 € 129,95 | £103.00 Sale price 7 * € (D) 139,05 | € (A) 142,95 | sFr 216,00 7 € 24,95 | £22.99 Sale price 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 7 € 72,95 | £65.99 7 * € (D) 78,06 | € (A) 80,25 | sFr 113,50 9 9

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F. Brauer, University of British Columbia, Vancouver, G. E. Bredon, Rutgers University, New Brunswick, P. Bremaud, CNRS-ESE, Gif-sur-Yvette, France BC, Canada; P. van den Driessche, University of NJ, USA Markov Chains Victoria, BC, Canada; J. Wu, York University, Toronto, Topology and Geometry ON, Canada (Eds.) Gibbs Fields, Monte Carlo Simulation, and Queues Mathematical Epidemiology This book offers an introductory course in This text is an introduction to the theory of algebraic topology. Starting with general stochastic processes at the undergraduate or Based on lecture notes, this volume offers topology, it discusses differentiable manifolds, beginning graduate level. Mathematical a comprehensive introduction to ideas and cohomology, products and duality, the definitions, theorems, proofs, and a number of techniques in modeling infectious diseases, fundamental group, homology theory, and classroom examples help students to grasp the for the comparison of strategies to plan for an homotopy theory. content of the main results, and problems of anticipated epidemic or pandemic, and to deal From the reviews 7 An interesting and original varying difficulty are proposed at the end of with a disease outbreak in real time. graduate text in topology and geometry...a good each chapter. It brings students to the borders of lecturer can use this text to create a fine current research covering more advanced topics 2008. XVIII, 408 p. 71 illus., 27 in color. (Lecture course....A beginning graduate student can use such as Martingales, eigenvalue, Gibbs fields Notes in Mathematics / Mathematical Biosciences this text to learn a great deal of mathematics. and Monte Carlo techniques. Subseries, Volume 1945) Softcover 7 Mathematical Reviews ISBN 7 978-3-540-78910-9 1st ed. 1999. Corr. 2nd printing 2001. XVIII, 444 p. 64 illus. (Texts in Applied Mathematics, Volume 31) List price 1st ed. 1993. Corr. 3rd printing 1997. XIV, 557 p. Hardcover 7 € 69,95 | £62.99 85 illus. (Graduate Texts in Mathematics, ISBN 7 978-0-387-98509-1 7 * € (D) 74,85 | € (A) 76,95 | sFr 109,00 Volume 139) Hardcover ISBN 7 978-0-387-97926-7 List price Sale price 7 € 56,95 | £49.99 7 € 42,95 | £38.99 List price 7 * € (D) 60,94 | € (A) 62,65 | sFr 86,50 7 * € (D) 45,96 | € (A) 47,25 | sFr 67,00 7 € 59,95 | £53.99 7 * € (D) 64,15 | € (A) 65,95 | sFr 92,00 Sale price 9 Sale price 7 € 34,95 | £31.99 7 € 32,95 | £29.99 7 * € (D) 37,40 | € (A) 38,45 | sFr 54,50 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 M. Braun, City University of New York, Flushing, NY, 9 USA 9 Differential Equations and Their D. Brigo, F. Mercurio, Banca IMI, Milan, Italy Applications P. Bremaud, CNRS, Gif-sur-Yvette, France Interest Rate Models – Theory An Introduction to Applied Mathematics An Introduction to Probabilistic and Practice This best-selling introduction to differential Modeling equations and their applications stands apart With Smile, Inflation and Credit from other texts through its engaging appli- Introduction to the basic concepts of probability This book explains how Interest-rate models cation of the subject matter to interesting theory: independence, expectation, convergence work and shows how to implement them for scenarios. The fourth edition incorporates in law and almost-sure convergence. Short concrete pricing. The revised 2nd edition of this earlier introductory material on bifurcation expositions of more advanced topics such as book incorporates considerable new material, theory and adds a new chapter on Sturm- Markov Chains, Stochastic Processes, Bayesian including sections on local-volatility dynamics, Liouville boundary value problems. Computer Decision Theory and Information Theory. and on stochastic volatility models. programs in C, Pascal, and Fortran show readers how to apply differential equations 1st ed. 1988. Corr. 2nd printing 1994. XVI, 207 p. 2nd ed. 2006. Corr. 3rd printing 2007. LVI, 981 p. towards quantitative problems. 90 illus. (Undergraduate Texts in Mathematics) 124 illus. (Springer Finance) Hardcover Hardcover ISBN 7 978-3-540-22149-4 4th ed. 1993. XVI, 578 p. 68 illus. (Texts in Applied ISBN 7 978-0-387-96460-7 List price Mathematics, Volume 11) Hardcover List price 7 € 69,95 | £62.99 ISBN 7 978-0-387-97894-9 7 € 59,95 | £53.99 7 * € (D) 74,85 | € (A) 76,95 | sFr 109,00 List price 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 Sale price 7 € 54,95 | £49.99 Sale price 7 € 42,95 | £38.99 7 * € (D) 58,80 | € (A) 60,45 | sFr 86,50 7 € 32,95 | £29.99 7 * € (D) 45,96 | € (A) 47,25 | sFr 67,00 Sale price 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 € 29,95 | £26.99 9 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 9 9

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J. H. Bruinier, Technische Universität Darmstadt, J. Buchmann, Technische Universität Darmstadt, E. K. Burke, G. Kendall, University of Nottingham, Germany; G. van der Geer, Universiteit van Germany UK (Eds.) Amsterdam, The Netherlands; G. Harder, Universität Introduction to Cryptography Search Methodologies Bonn, Germany; D. Zagier, Max-Planck-Institut für Mathematik, Bonn, Germany Cryptography is a key technology in electronic Introductory Tutorials in Optimization and The 1-2-3 of Modular Forms key systems. It is used to keep data secret, Decision Support Techniques digitally sign documents, access control, and so This book is a tutorial survey of the method- Lectures at a Summer School in Nordfjordeid, forth. Users therefore should not only know ologies that are at the confluence of several Norway how its techniques work, but they must also be fields: Computer Science, Mathematics and This book grew out of three series of lectures on able to estimate their efficiency and security. Operations Research. It provides a structured "Modular Forms and their Applications". Each Based on courses taught by the author, this book and integrated treatment of the major tech- part treats a number of beautiful applications, explains the basic methods of modern crypt- nologies in optimization and search method- and together they form a comprehensive survey ography. It is written for readers with only basic ology. for the novice and a useful reference for a broad mathematical knowledge who are interested in group of mathematicians. modern cryptographic algorithms and their 1st ed. 2005. Corr. 2nd printing 2006. VI, 620 p. mathematical foundation. Several exercises are 99 illus. Hardcover 2008. X, 266 p. 2 illus. (Universitext) Softcover included following each chapter. . ISBN 7 978-0-387-23460-1 ISBN 7 978-3-540-74117-6 2nd ed. 2004. XVI, 335 p. 27 illus. List price List price (Undergraduate Texts in Mathematics) Softcover 7 € 82,95 | £72.50 7 € 49,95 | £44.99 ISBN 7 978-0-387-20756-8 7 * € (D) 88,76 | € (A) 91,25 | sFr 125,50 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 List price Sale price Sale price 7 € 39,95 | £36.99 7 € 49,95 | £44.99 7 € 32,95 | £29.99 7 * € (D) 42,75 | € (A) 43,95 | sFr 63,50 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 Sale price 9 9 7 € 19,95 | £17.99 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 9 S. L. Campbell, North Carolina State University, NC, Z. Brzezniak, University of Hull, UK; USA; J. Chancelier, CERMICS ENPC, France; T. Zastawniak, University of York, UK R. Nikoukhah, INRIA, France

Basic Stochastic Processes H. Bühlmann, ETH, Zürich, Switzerland; A. Gisler, Modeling and Simulation in A Course Through Exercises Winterthur Insurance Company, Winterthur, Scilab/Scicos with ScicosLab 4.4 Switzerland Stochastic processes are tools used widely by Scilab and its Scicos block diagram graphical statisticians and researchers working in the A Course in Credibility Theory editor, with a special emphasis on modeling and mathematics of finance. This book for self-study and its Applications simulation tools. The first part is a detailed provides a detailed treatment of conditional Scilab tutorial, and the second is dedicated to expectation and probability, a topic that in This book is ideal for practicing experts in modeling and simulation of dynamical systems principle belongs to probability theory, but particular actuaries in the field of property- in Scicos. The concepts are illustrated through is essential as a tool for stochastic processes. casualty insurance, life insurance, reinsurance numerous examples, and all code used in the The book centers on exercises as the main and insurance supervision, as well as teachers book is available to the reader. means of explanation. and students. It provides an exploration of Credibility Theory, covering most aspects of this 2006. XI, 313 p. 103 illus. Hardcover 1st ed. 1999. Corr. 3rd printing 2000. X, 226 p. topic from the simplest case to the most detailed ISBN 7 978-0-387-27802-5 21 illus. (Springer Undergraduate Mathematics dynamic model. The book closely examines the List price Series) Softcover tasks an actuary encounters daily: estimation of 7 € 44,95 | £39.99 ISBN 7 978-3-540-76175-4 loss ratios, claim frequencies and claim sizes. 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 List price 2005. XVIII, 336 p. 31 illus., 22 in color. (Universitext) Sale price 7 € 39,95 | £19.95 Softcover 7 € 24,95 | £22.99 7 * € (D) 42,75 | € (A) 43,95 | sFr 66,50 ISBN 7 978-3-540-25753-0 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 Sale price List price 7 € 19,95 | £17.99 7 € 49,95 | £44.99 9 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 9 Sale price 7 € 24,95 | £22.99 97 * € (D) 26,70 | € (A) 27,45 | sFr 39,00

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A. Cannas da Silva, Instituto Superior Tecnico, A. Chinchuluun, P. M. Pardalos, University of F. H. Clarke, University of Lyon, France; Lisboa, Portugal Florida, Gainesville, FL, USA; A. Migdalas, Technical Y. S. Ledyaev, Steklov Mathematics Institute, Lectures on Symplectic University of Crete, Chania, Greece; L. Pitsoulis, Moscow, Russia; R. J. Stern, Concordia University, Technical University of Thessaloniki, Greece (Eds.) Montreal, ON, Canada; P. R. Wolenski, Louisiana Geometry Pareto Optimality, Game Theory State University, Baton Rouge, LA, USA This text addresses symplectomorphisms, and Equilibria Nonsmooth Analysis and local forms, contact manifolds, compatible Control Theory almost complex structures, Kaehler manifolds, This comprehensive work examines important hamiltonian mechanics, moment maps, recent developments and modern applications This volume presents the essentials of the symplectic reduction and symplectic toric in the fields of optimization, control, game subject clearly and succinctly, together with manifolds. It contains guided problems, called theory and equilibrium programming. some of its applications and a generous supply homework, designed to complement the The book consists of 29 survey chapters written of interesting exercises. The authors’ goal is to exposition or extend the reader's understanding. by distinguished researchers. make nonsmooth analysis accessible to a wider audience. In this spirit, the book is written so as 1st ed. 2001. Corr., 2nd printing 2008. 2008. XXII, 866 p. 30 illus. (Springer Optimization to be used by anyone who has taken a course in XIV, 252 p. (Lecture Notes in Mathematics, and Its Applications, Volume 17) Hardcover functional analysis. Volume 1764) Softcover ISBN 7 978-0-387-77246-2 ISBN 7 978-3-540-42195-5 1998. XIV, 276 p. 8 illus. (Graduate Texts in List price Mathematics, Volume 178) Hardcover List price 7 € 99,95 | £89.99 ISBN 7 978-0-387-98336-3 7 € 39,95 | £31.99 7 * € (D) 106,95 | € (A) 109,95 | sFr 155,50 7 * € (D) 42,75 | € (A) 43,95 | sFr 66,50 List price Sale price 7 € 59,95 | £53.99 Sale price 7 € 59,95 | £53.99 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 7 € 26,95 | £24.99 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 Sale price 9 7 € 32,95 | £29.99 9 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50

K. L. Chung, Stanford University, CA, USA; 9 C. Canuto, Politecnico di Torino, Italy; M. Y. Hussaini, F. AitSahlia, University of Florida, Gainesville, FL, Florida State University, Tallahassee, FL, USA; USA A. Quarteroni, EPFL, Lausanne, Switzerland and Elementary Probability Theory H. Cohen, Université Bordeaux I, Talence, France Politecnico di Milano, Italy; T. Zang, NASA Langley A Course in Computational Research Center, Hampton, VA, USA With Stochastic Processes and an Introduction to Algebraic Number Theory Spectral Methods Mathematical Finance This book provides an introduction to prob- This book describes 148 algorithms which are Evolution to Complex Geometries and ability theory and its applications. The emphasis essential for serious number-theoretic Applications to Fluid Dynamics is on essential probabilistic reasoning, which computations, in particular for computations Following up the seminal Spectral Methods in is illustrated with a large number of samples. related to lattices, algebraic number theory, Fluid Dynamics, this book surveys the essential The fourth edition adds material related to elliptic curves, primality testing and factoring. algorithmic and theoretical aspects of spectral mathematical finance as well as expansions on From the reviews 7 Algorithmic number theory methods for complex geometries. This is a stable laws and martingales. has become an important subject. Undoubtedly, companion book to Spectral Methods: From the reviews 7 Almost thirty years after its this book, written by one of the leading author- Fundamentals in Single Domains, which first edition, this charming book continues to be ities in the field, is one of the most beautiful books discusses the fundamentals of the approxi- an excellent text for teaching and for self study. available on the market. 7 Acta Scientiarum mation of solutions to ordinary and partial 7 Statistical Papers Mathematicarum differential equations on single domains by expansions in smooth, global basis functions. 4th ed. 2003. XIII, 402 p. 114 illus., 57 in color. 1st ed. 1993. 4th printing 2000. XIX, 545 p. 1 illus. (Undergraduate Texts in Mathematics) Hardcover (Graduate Texts in Mathematics, Volume 138) 2007. XXX, 598 p. 183 illus., 20 in color. ISBN 7 978-0-387-95578-0 Hardcover (Scientific Computation) Hardcover ISBN 7 978-3-540-55640-4 ISBN 7 978-3-540-30727-3 List price 7 € 79,95 | £66.99 List price List price 7 * € (D) 85,55 | € (A) 87,95 | sFr 114,00 7 € 64,95 | £51.99 7 € 79,95 | £72.00 7 * € (D) 69,50 | € (A) 71,45 | sFr 108,00 7 * € (D) 85,55 | € (A) 87,95 | sFr 124,50 Sale price 7 € 49,95 | £44.99 Sale price Sale price 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 € 39,95 | £35.99 7 € 49,95 | £44.99 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 97 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 9 9

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H. Cohen, Université Bordeaux I, Talence, France J. B. Conway, University of Tennessee, Knoxville, G. Cornell, University of Connecticut, Storrs, CT, Number Theory TN, USA USA; J. H. Silverman, Brown University, Providence, A Course in Functional Analysis RI, USA; G. Stevens, University of Boston, MA, USA Volume I: Tools and Diophantine Equations (Eds.) The central theme of this book is the solution of This book is an introductory text in functional Modular Forms and Fermat's Diophantine equations, i.e., equations or analysis. Unlike many modern treatments, systems of polynomial equations which must be it begins with the particular and works its way Last Theorem solved in integers, rational numbers or more to the more general. This volume contains the expanded lectures generally in algebraic numbers. From the reviews 7 This book is an excellent text given at a conference on number theory and for a first graduate course in functional arithmetic geometry. It introduces the many 2007. XXIII, 650 p. (Graduate Texts in Mathematics, analysis....Many interesting and important ideas and techniques used by Wiles, and Volume 239) Hardcover applications are included....It includes an explains how his result can be combined with ISBN 7 978-0-387-49922-2 abundance of exercises, and is written in the Ribet’s theorem and ideas of Frey and Serre to prove Fermat’s Last Theorem. List price engaging and lucid style which we have come to 7 € 49,95 | £44.99 expect from the author. 7 Mathematical Reviews From the reviews 7 Indispensable to any student 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 wanting to learn the finer details of the proof or 2nd ed. 1990. Corr. 4th printing 1997. XVI, 399 p. any researcher wanting to extend the subject in a Sale price 1 illus. (Graduate Texts in Mathematics, Volume 96) higher direction. 7 Mathematical Reviews 7 € 29,95 | £26.99 Hardcover 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 ISBN 7 978-0-387-97245-9 1st ed. 1997. 3rd printing 2000. XIX, 608 p. Softcover 9 List price ISBN 7 978-0-387-98998-3 7 € 62,95 | £49.99 List price 7 * € (D) 67,36 | € (A) 69,25 | sFr 104,50 7 € 44,95 | £39.99 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 H. Cohen, Université Bordeaux I, Talence, France Sale price 7 € 34,95 | £31.99 Number Theory Sale price 7 * € (D) 37,40 | € (A) 38,45 | sFr 54,50 7 € 22,95 | £20.99 Volume II: Analytic and Modern Tools 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 This book deals with several aspects of what is 9 now called "explicit number theory." The central 9 theme is the solution of Diophantine equations. This unique collection of topics contains more J. B. Conway than 350 exercises and its text is largely Functions of One Complex R. Crandall, Center for Advanced Computation, self-contained. Variable I Portland, OR, USA; C. Pomerance, Dartmouth College, Hanover, NH, USA 2007. XXIII, 596 p. (Graduate Texts in Mathematics, Volume 240) Hardcover From the reviews 7 This book presents a basic Prime Numbers introduction to complex analysis in both an ISBN 7 978-0-387-49893-5 A Computational Perspective interesting and a rigorous manner. It contains List price enough material for a full year's course, and the In the new edition of this highly successful 7 € 49,95 | £44.99 choice of material treated is reasonably standard book, Richard Crandall and Carl Pomerance 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 and should be satisfactory for most first courses in provide updated material on theoretical, computational, and algorithmic fronts. Sale price complex analysis. The approach to each topic The authors also list many new computational 7 € 29,95 | £26.99 appears to be carefully thought out both as to records and survey new developments in the 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 mathematical treatment and pedagogical presentation, and the end result is a very theory of prime numbers. satisfactory book. 7 MathSciNet 9 2nd ed. 2005. XVI, 597 p. 4 illus. Hardcover 2nd ed. 1978. Corr. 7th printing 1995. XIII, 317 p. ISBN 7 978-0-387-25282-7 30 illus. (Graduate Texts in Mathematics, Volume 11) List price Hardcover 7 € 54,95 | £49.99 ISBN 7 978-0-387-90328-6 7 * € (D) 58,80 | € (A) 60,45 | sFr 86,50 List price Sale price 7 € 49,95 | £44.99 7 € 32,95 | £29.99 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 Sale price 7 € 29,95 | £26.99 9 97 * € (D) 32,05 | € (A) 32,95 | sFr 46,50

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M. L. Curtis, Rice University, Houston, TX, USA B. Dacorogna, EPFL Lausanne, Switzerland R. Dana, Université Paris IX (Dauphine), Paris, Matrix Groups Direct Methods in the Calculus France; M. Jeanblanc, Université d'Evry, France Financial Markets in Continuous These notes were developed from a course of Variations Time taught at Rice University in the spring of 1976 This book is developed for the study of vectorial and again at the University of Hawaii in the problems in the calculus of variations. It is a Translated from the French by A. Kennedy spring of 1977. It is assumed that the students new edition of the earlier book published in This book explains key financial concepts, know some linear algebra and a little about 1989. Almost half of the book consists of new mathematical tools and theories of mathemat- differentiation of vector-valued functions. material and there are added examples. ical finance. The range of topics covered is very The idea is to introduce some students to broad for an introductory text. The book some of the concepts of Lie group theory – 2nd ed. 2008. XII, 622 p. (Applied Mathematical contains two separate appendices on Brownian all done at the concrete level of matrix groups. Sciences, Volume 78) Hardcover motion and on numerical methods. ISBN 7 978-0-387-35779-9 2nd ed. 1979. XIV, 228 p. 10 illus. (Universitext) 1st ed. 2003. Corr. 2nd printing 2007. XII, 326 p. Softcover List price (Springer Finance) Softcover ISBN 7 978-0-387-96074-6 7 € 62,95 | £56.99 7 * € (D) 67,36 | € (A) 69,25 | sFr 98,00 ISBN 7 978-3-540-71149-0 List price List price 7 € 49,95 | £44.99 Sale price 7 € 39,95 | £35.99 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 € 36,95 | £33.99 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 Sale price Sale price 7 € 24,95 | £22.99 9 7 € 19,95 | £17.99 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 9 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 D. Daley, Australian National University, Canberra, 9 ACT, Australia; D. Vere-Jones, Victoria University of Wellington, New Zealand A. Cuyt, University of Antwerp, Belgium; F. Delbaen, ETH Zürich, Switzerland; V. Petersen, Sør-Trøndelag University College, An Introduction to the Theory of W. Schachermayer, Technische Universität Wien, Trondheim, Norway; B. Verdonk, University of Point Processes Austria Antwerp, Belgium; H. Waadeland, Norwegian Volume II: General Theory and Structure University of Science and Technology, Trondheim, The Mathematics of Arbitrage Norway; W. B. Jones, University of Colorado, Fully revised and updated by the authors who This book presents a rigorous mathematical Boulder, CO, USA have reworked their 1988 first edition, this brilliant book brings together the basic theory treatment of the theory of pricing and hedging Handbook of Continued of random measures and point processes in a of derivative securities by the principle of no Fractions for Special Functions unified setting and continues with the more arbitrage. The first part presents a relatively theoretical topics of the first edition. elementary introduction. The second part This handbook is devoted to a systematic study consists of an updated edition of seven papers, of continued fraction representations for special 2nd ed. 2008. XVIII, 566 p. (Probability and its which analyzes the topic in the general functions. Only 10% of the continued fractions Applications) Hardcover framework of semi-martingale theory. contained in this book can also be found in ISBN 7 978-0-387-21337-8 the Abramowitz and Stegun project or at the From the reviews 7 Will be of invaluable help to Wolfram website! List price new researchers in the area of incomplete Mathematical Reviews 7 € 69,95 | £62.99 markets. 7 2008. XVI, 431 p. Hardcover 7 * € (D) 74,85 | € (A) 76,95 | sFr 109,00 1st ed. 2006. 2nd printing 2008. XVI, 373 p. 1 illus. ISBN 7 978-1-4020-6948-2 Sale price (Springer Finance) Hardcover List price 7 € 42,95 | £38.99 ISBN 7 978-3-540-21992-7 7 € 84,95 | £76.50 7 * € (D) 45,96 | € (A) 47,25 | sFr 67,00 List price 7 * € (D) 90,90 | € (A) 93,45 | sFr 132,00 9 7 € 69,95 | £55.99 Sale price 7 * € (D) 74,85 | € (A) 76,95 | sFr 116,50 7 € 49,95 | £44.99 Sale price 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 € 42,95 | £38.99 9 97 * € (D) 45,96 | € (A) 47,25 | sFr 67,00

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A. Desolneux, L. Moisan, Université Paris Descartes, R. Diestel, University of Hamburg, Germany D. Djukic, University of Toronto, ON, Canada; Paris, France; J. Morel, École Normale Supérieure de Graph Theory V. Z. Jankovic, Belgrade University, Serbia and Cachan, France Montenegro; I. Matic, University of California, From Gestalt Theory to Image The third edition of this standard textbook of Berkeley, CA, USA; N. Petrovic, Institute of Physics, modern graph theory has been carefully revised, Belgrade, Serbia and Montenegro Analysis updated, and substantially extended. Covering The IMO Compendium A Probabilistic Approach all its major recent developments, Graph Theory can be used both as a reliable textbook for an A Collection of Problems Suggested for the This book introduces a new theory in Computer introductory course and as a graduate text: International Mathematical Olympiads: Vision yielding elementary techniques to on each topic it covers all the basic material in 1959–2004 analyze digital images. These techniques are full detail, and adds one or two deeper results a mathematical formalization of the Gestalt The ultimate collection of high-school-level (again with detailed proofs) to illustrate the theory. The text includes numerous illustrations, mathematics problems. Former IMO partici- more advanced methods of that field. and chapter-end exercises, to reinforce pants have rescued these problems from old and understanding. scattered manuscripts, and produced the 3rd ed. 2005. XVI, 415 p. 146 illus. (Graduate Texts definitive source of IMO practice problems in in Mathematics, Volume 173) Hardcover 2008. XII, 276 p. 130 illus. (Interdisciplinary one volume for the first time. ISBN 7 978-3-540-26182-7 Applied Mathematics, Volume 34) Hardcover ISBN 7 978-0-387-72635-9 List price 2006. XIV, 746 p. 200 illus. (Problem Books in 7 € 79,95 | £72.00 Mathematics) Hardcover List price 7 * € (D) 85,55 | € (A) 87,95 | sFr 124,50 ISBN 7 978-0-387-24299-6 7 € 46,95 | £42.99 7 * € (D) 50,24 | € (A) 51,65 | sFr 73,00 Sale price List price 7 € 49,95 | £44.99 7 € 62,95 | £49.99 Sale price 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 * € (D) 67,36 | € (A) 69,25 | sFr 104,50 7 € 29,95 | £26.99 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 Sale price 9 7 € 36,95 | £33.99 9 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 R. Diestel, University of Hamburg, Germany 9 F. Diamond, Brandeis University, Waltham, MA, USA; Graph Theory J. Shurman, Reed College, Portland, OR, USA The third edition of this standard textbook of C. T. Dodson, University of Manchester, UK; A First Course in Modular Forms modern graph theory has been carefully revised, T. Poston, Singapore updated, and substantially extended. Covering This book introduces the theory of modular all its major recent developments, Graph Theory Tensor Geometry forms, from which all rational elliptic curves can be used both as a reliable textbook for an arise, with an eye toward the Modularity The Geometric Viewpoint and its Uses introductory course and as a graduate text: on Theorem. The Theorem is stated in various This treatment of differential geometry and the each topic it covers all the basic material in full forms, related to each other and to their mathematics required for general relativity detail, and adds one or two deeper results (again applications to number theory. makes the subject accessible, for the first time, with detailed proofs) to illustrate the more to anyone familiar with elementary calculus in advanced methods of that field. 1st ed. 2005. Corr. 3nd printing 2007. XV, 436 p. one variable and with some knowledge of vector 29 illus. (Graduate Texts in Mathematics, algebra. The emphasis throughout is on the 3rd ed. 2006. XVI, 415 p. 146 illus. (Graduate Texts Volume 228) Hardcover geometry of the mathematics, which is greatly in Mathematics, Volume 173) Softcover ISBN 7 978-0-387-23229-4 enhanced by the many illustrations presenting ISBN 7 978-3-540-26183-4 figures of three and more dimensions as closely List price List price as the book form will allow. 7 € 54,95 | £43.99 7 € 44,95 | £39.99 7 * € (D) 58,80 | € (A) 60,45 | sFr 91,50 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 2nd ed. 1991. Corr. 3rd printing 2010. XIV, 432 p. Sale price 177 illus. (Graduate Texts in Mathematics, Sale price 7 € 32,95 | £29.99 Volume 130) Hardcover 7 € 22,95 | £20.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 ISBN 7 978-3-540-52018-4 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 List price 9 9 7 € 69,95 | £55.99 7 * € (D) 74,85 | € (A) 76,95 | sFr 116,50 Sale price 7 € 42,95 | £38.99 97 * € (D) 45,96 | € (A) 47,25 | sFr 67,00

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C. Donati-Martin, Université Pierre et Marie Curie, B. Dubrovin, A. Fomenko, S. Novikov B. Dubrovin, A. Fomenko, S. Novikov Paris, France; M. Émery, Université Louis Pasteur, Modern Geometry – Methods Modern Geometry – Methods Strasbourg, France; A. Rouault, Université Versailles- Saint-Quentin, Versailles, France; C. Stricker, Univer- and Applications and Applications sité des Besançon, France (Eds.) Part I: The Geometry of Surfaces, Transformation Part 3: Introduction to Homology Theory Séminaire de Probabilités XLI Groups, and Fields Translated from the Russian by R. Burns Translated from the Russian by R. Burns Stochastic processes are as usual the main This third volume of Modern Geometry – subject of the Séminaire, with contributions on This is the first volume of a three-volume Methods and Applications, presented in highly Brownian motion (fractional or other), Lévy introduction to modern geometry which accessible language, concentrates in homology processes, martingales and probabilistic finance. emphasizes applications to other areas of theory. It contains introductions to the Other probabilistic themes are also present: mathematics and theoretical physics. Topics contemporary methods for the calculation of large random matrices, statistical mechanics. covered include tensors and their differential homology groups and the classification of The contributions in this volume provide a calculus, the calculus of variations in one and manifesto. Both scientists and students of sampling of recent results on these topics. several dimensions, and geometric field theory. mathematics as well as theoretical physics will This new edition offers substantial revisions, find this book to be a valuable reference and 2008. X, 462 p. (Lecture Notes in Mathematics / and the material is written in concrete language text. Séminaire de Probabilités, Volume 1934) Softcover with terminology acceptable to physicists. ISBN 7 978-3-540-77912-4 1990. IX, 432 p. 120 illus. (Graduate Texts in 2nd ed. 1992. XV, 492 p. 45 illus. (Graduate Texts in Mathematics, Volume 124) Hardcover List price Mathematics, Volume 93) Hardcover ISBN 7 978-0-387-97271-8 7 € 59,95 | £53.99 ISBN 7 978-0-387-97663-1 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 List price List price 7 € 69,95 | £62.99 Sale price 7 € 59,95 | £47.99 7 * € (D) 74,85 | € (A) 76,95 | sFr 109,00 7 € 36,95 | £33.99 7 * € (D) 64,15 | € (A) 65,95 | sFr 99,50 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 Sale price Sale price 7 € 38,95 | £35.99 9 7 € 38,95 | £35.99 7 * € (D) 41,68 | € (A) 42,85 | sFr 60,50 97 * € (D) 41,68 | € (A) 42,85 | sFr 60,50 9 R. G. Downey, Victoria University, Wellington, New Zealand; M. Fellows, University of Victoria, Canada D. Durran Parameterized Complexity B. Dubrovin, A. Fomenko, S. Novikov Numerical Methods for Fluid Offering a means of analyzing algorithms in Modern Geometry – Methods terms of their tractability, this book considers Dynamics problems in terms of parameterized languages and Applications With Applications in Geophysics and introduces readers to new classes of Part 2: The Geometry and Topology of Manifolds Covering a wide range of techniques, this book algorithms. Those interested in the design and Translated by R. Burns describes methods for the solution of partial analysis of algorithms will find much interest Over the past fifteen years, the geometrical and differential equations which govern wave in this book. topological methods of the theory of manifolds propagation and are used in modeling atmos- have assumed a central role in the most pheric and oceanic flows. The presentation 1999. XV, 533 p. 68 illus. (Monographs in Computer establishes a concrete link between theory and Science) Hardcover advanced areas of pure and applied mathematics as well as theoretical physics. The three volumes practice. ISBN 7 978-0-387-94883-6 of Modern Geometry – Methods and Applica- List price tions contain a concrete exposition of these 1998. XVII, 465 p. 93 illus. (Texts in Applied 7 € 76,95 | £69.99 methods together with their main applications Mathematics, Volume 32) Hardcover 7 * € (D) 82,34 | € (A) 84,65 | sFr 119,50 in mathematics and physics. ISBN 7 978-0-387-98376-9 Sale price List price 1985. 452 p. (Graduate Texts in Mathematics, 7 € 42,95 | £38.99 7 € 66,95 | £59.99 Volume 104) Hardcover 7 * € (D) 45,96 | € (A) 47,25 | sFr 67,00 7 * € (D) 71,64 | € (A) 73,65 | sFr 104,00 ISBN 7 978-0-387-96162-0 Sale price 9 List price 7 € 36,95 | £33.99 7 € 69,95 | £62.99 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 7 * € (D) 74,85 | € (A) 76,95 | sFr 109,00 Sale price 9 7 € 38,95 | £35.99 97 * € (D) 41,68 | € (A) 42,85 | sFr 60,50

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P. Dyke, University of Plymouth, UK M. Feckan, Comenius University, Bratislava, Slovakia W. Fleming, Brown University, Providence, RI, USA An Introduction to Laplace Topological Degree Approach to Functions of Several Variables Transforms and Fourier Series Bifurcation Problems This new edition of Functions of Several This introduction to Laplace transforms and This book contains original bifurcation results Variables is an extensive revision. Like the first Fourier series is aimed at second year students for the existence of oscillations and chaotic edition it presents a thorough introduction to in applied mathematics. It is unusual in treating behavior of differential equations and discrete differential and integral calculus, including the Laplace transforms at a relatively simple level dynamical systems under variation of involved integration of differential forms on manifolds. with many examples. Mathematics students do parameters. It studies a broad variety of not usually meet this material until later in their nonlinear problems. 2nd ed. 1977. Corr. 3rd printing 1987. XI, 411 p. degree course but applied mathematicians and 96 illus. (Undergraduate Texts in Mathematics) engineers need an early introduction. Suitable 2008. IX, 261 p. 17 illus. (Topological Fixed Point Hardcover as a course text, it will also be of interest to Theory and Its Applications, Volume 5) Hardcover ISBN 7 978-0-387-90206-7 physicists and engineers as supplementary ISBN 7 978-1-4020-8723-3 List price material. List price 7 € 59,95 | £53.99 7 € 86,95 | £78.50 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 1st ed. 2000. Corr. 2nd printing 2000. XII, 250 p. 7 * € (D) 93,04 | € (A) 95,65 | sFr 135,00 (Springer Undergraduate Mathematics Series) Sale price Softcover Sale price 7 € 32,95 | £29.99 ISBN 7 978-1-85233-015-6 7 € 52,95 | £47.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 * € (D) 56,66 | € (A) 58,25 | sFr 82,50 List price 9 7 € 39,95 | £18.95 7 * € (D) 42,75 | € (A) 43,95 | sFr 66,50 9

Sale price I. Fonseca, G. Leoni, Carnegie Mellon University, 7 € 19,95 | £17.99 H. G. Feichtinger, Universitry of Vienna, Austria; Pittsburgh, PA, USA 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 B. Helffer, Université Paris-Sud, Orsay, France; Modern Methods in the Calculus M. P. Lamoureux, University of Calgary, AB, Canada; of Variations 9 N. Lerner, Université Paris 6, Paris, France; J. Toft, Växjö University, Växjö, Sweden Lp Spaces Pseudo-Differential Operators This book presents in a unified way both H. Ebbinghaus, Universität Freiburg, Germany classical and contemporary results in the Ernst Zermelo Quantization and Signals Calculus of Variations. It brings together in one This volume investigates the mathematics of place the contemporary developments in the An Approach to His Life and Work quantization and signals in the context of calculus of variations based on a series of This biography attempts to shed light on all pseudo-differential operators, Weyl transforms, lectures at Carnegie Mellon University. facets of Zermelo's life and achievements. Daubechies operators, Wick quantization and Personal and scientific aspects are kept separate time-frequency localization operators. 2007. XIV, 600 p. (Springer Monographs in as far as coherence allows, in order to enable the Mathematics) Hardcover reader to follow the one or the other of these 2008. XXIV, 214 p. 11 illus. (Lecture Notes in Math- ISBN 7 978-0-387-35784-3 threads. The presentation of his work explores ematics / Fondazione C.I.M.E., Firenze, Volume 1949) List price motivations, aims, acceptance, and influence. Softcover 7 € 54,95 | £49.99 Selected proofs and information gleaned from ISBN 7 978-3-540-68266-0 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 unpublished notes and letters add to the List price analysis. Sale price 7 € 39,95 | £35.99 7 € 32,95 | £29.99 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 2007. XIV, 356 p. 42 illus. Hardcover 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 ISBN 7 978-3-540-49551-2 Sale price 7 € 26,95 | £24.99 List price 9 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 7 € 49,95 | £39.99 7 * € (D) 53,45 | € (A) 54,95 | sFr 83,00 9 Sale price 7 € 29,95 | £26.99 97 * € (D) 32,05 | € (A) 32,95 | sFr 46,50

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O. Forster, University of Munich, Germany R. Friedman, Columbia University, New York, NY, T. W. Gamelin, Department of Mathematics UCLA, Lectures on Riemann Surfaces USA Los Angeles, CA, USA Translated from the German by B. Gilligan Algebraic Surfaces and Complex Analysis This book grew out of lectures on Riemann Holomorphic Vector Bundles The book provides an introduction to complex surfaces given by Otto Forster at the universities analysis for readers with some very basic From the contents 7 Curves on a Surface 7 of Munich, Regensburg, and Münster. It familiarity with complex numbers. Coherent Sheaves 7 Birational Geometry 7 provides a concise modern introduction to Stability 7 Some Examples of Surfaces 7 Vector From the reviews 7 This is a wonderful book this rewarding subject, as well as presenting Bundles over Ruled Surfaces 7 An Introduction about the fundamentals of complex analysis. methods used in the study of complex to Elliptic Surfaces 7 Vector Bundles over It touches all essential parts of complex function manifolds in the special case of complex Elliptic Surfaces 7 Bogomolov’s Inequality and theory, and very often goes deeper into the subject dimension one. Applications 7 Classification of Algebraic than most elementary texts....All in all, this is one From the reviews 7 This book deserves very Surfaces and of Stable Bundles. of the best if not the best book on the elementary serious consideration as a text for anyone theory of complex functions. 7 Mathematical contemplating giving a course on Riemann 1998. IX, 328 p. 3 illus. (Universitext) Hardcover Reviews surfaces. 7 Mathematical Reviews ISBN 7 978-0-387-98361-5 1st ed. 2001. Corr. 2nd printing 2003. XVIII, 478 p. List price 1st ed. 1981. Corr. 4th printing 1999. VIII, 254 p. 184 illus. (Undergraduate Texts in Mathematics) 7 € 54,95 | £49.99 6 illus. (Graduate Texts in Mathematics, Volume 81) Softcover 7 * € (D) 58,80 | € (A) 60,45 | sFr 86,50 Hardcover ISBN 7 978-0-387-95069-3 ISBN 7 978-0-387-90617-1 Sale price List price 7 € 29,95 | £26.99 List price 7 € 44,95 | £39.99 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 7 € 66,95 | £59.99 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 7 * € (D) 71,64 | € (A) 73,65 | sFr 104,00 9 Sale price Sale price 7 € 17,95 | £16.99 7 € 36,95 | £33.99 7 * € (D) 19,21 | € (A) 19,75 | sFr 28,00 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 W. Fulton, University of Chicago, IL, USA 9 9 Algebraic Topology A First Course A. Garcia, H. Stichtenoth (Eds.) This book introduces the important ideas of J. Fouque, J. Garnier, G. Papanicolaou, K. Solna algebraic topology emphasizing the relation of Topics in Geometry, Coding Wave Propagation and Time these ideas with other areas of mathematics. It Theory and Cryptography Reversal in Randomly Layered presents concrete problems in spaces with a few dimensions. The theory of algebraic function fields over Media finite fields has its origins in number theory. From the reviews 7 A text on algebraic topology However, after Goppa’s discovery of algebraic This multidisciplinary book uses mathematical which is genuinely different from the existing geometry codes around 1980, many applications tools from the theories of probability and texts....The author, who is an expert in algebraic of function fields were found in different areas stochastic processes, partial differential geometry, has given us his own personal of mathematics and information theory. This equations, and asymptotic analysis, combined idiosyncratic vision of how the subject should be book presents survey articles on some of these with the physics of wave propagation and developed. 7 American Mathematical Monthly new developments. The topics focus on material modeling of time reversal experiments. It is which has not yet been presented in other books addressed to a wide audience of graduate 1st ed. 1995. Corr. 2nd printing 1997. XVIII, 430 p. or survey articles. students and researchers interested in the 124 illus. (Graduate Texts in Mathematics, intriguing phenomena related to waves Volume 153) Softcover 2007. X, 201 p. (Algebra and Applications, propagating in random media. ISBN 7 978-0-387-94327-5 Volume 6) Hardcover ISBN 7 978-1-4020-5333-7 2007. XX, 612 p. (Stochastic Modelling and Applied List price Probability, Volume 56) Hardcover 7 € 39,95 | £33.99 List price ISBN 7 978-0-387-30890-6 7 * € (D) 42,75 | € (A) 43,95 | sFr 57,50 7 € 84,95 | £76.50 7 * € (D) 90,90 | € (A) 93,45 | sFr 132,00 List price Sale price 7 € 54,95 | £49.99 7 € 19,95 | £17.99 Sale price 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 7 € 49,95 | £44.99 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 Sale price 9 7 € 29,95 | £26.99 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 9 9

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J. B. Garnett, University of California, Los Angeles, J. P. Gilman, Rutgers University, Newark, NJ, USA; C. Godsil, University of Waterloo, ON, Canada; CA, USA I. Kra, Math for America, New York, NY, USA; G. Royle, University of Western Australia, Nedlands, Bounded Analytic Functions R. E. Rodriguez, Pontificia Università Catolica de WA, Australia Chile, Santiago, Chile Algebraic Graph Theory This book is an account of the theory of Hardy Complex Analysis spaces in one dimension, with emphasis on Algebraic graph theory is a combination of two some of the exciting developments of the past In the Spirit of Lipman Bers strands: the study of algebraic objects associated two decades or so. The book covers a wide range Organizing the basic material of complex with graphs and the use of tools from algebra to of topics in analysis and has well-organized with analysis in a unique manner, the authors of this derive properties of graphs. This book presents detailed proofs. versatile book aim is to present a precise and and illustrates the tools and ideas of algebraic concise treatment of those parts of complex graph theory, with an emphasis on current Revised 1st ed. 2007. XIV, 466 p. 31 illus. (Graduate analysis that should be familiar to every rather than classical topics. Texts in Mathematics, Volume 236) Hardcover research mathematician. From the reviews 7 This new text is a welcome ISBN 7 978-0-387-33621-3 addition to the literature, being beautifully List price 2007. XIV, 220 p. 20 illus. (Graduate Texts in written and wide-ranging in its coverage. 7 € 54,95 | £43.99 Mathematics, Volume 245) Hardcover 7 Mathematical Reviews 7 * € (D) 58,80 | € (A) 60,45 | sFr 91,50 ISBN 7 978-0-387-74714-9 2001. XIX, 439 p. 120 illus. (Graduate Texts in Sale price List price Mathematics, Volume 207) Softcover 7 € 32,95 | £29.99 7 € 54,95 | £49.99 ISBN 7 978-0-387-95220-8 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 Sale price List price 9 7 € 32,95 | £29.99 7 € 39,95 | £36.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 * € (D) 42,75 | € (A) 43,95 | sFr 63,50 Sale price R. Gelca, Texas Tech University, Lubbock, TX, USA; 9 7 € 19,95 | £17.99 T. Andreescu, University of Texas at Dallas, Rich- 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 ardson, TX, USA Putnam and Beyond P. Glasserman, Columbia University, New York, NY, 9 USA This book serves as a study guide for the Putnam Mathematics Competition and as a Monte Carlo Methods in F. Q. Gouvea, Colby College, Waterville, ME, USA transition from high school problem-solving to Financial Engineering university level mathematical research. Putnam p-adic Numbers and Beyond fills the need for problem-based From the reviews 7 Paul Glasserman has written An Introduction texts that specifically target the Putnam exams. an astonishingly good book that bridges financial engineering and the Monte Carlo method. There are numbers of all kinds: rational, real, 2007. XVI, 798 p. 50 illus. Softcover The book will appeal to graduate students, complex, p-adic. The p-adic numbers are less ISBN 7 978-0-387-25765-5 researchers, and most of all, practicing financial well known than the others, but they play a engineers [...] So often, financial engineering texts fundamental role in number theory and in List price are very theoretical. This book is not. other parts of mathematics. This elementary 7 € 54,95 | £49.99 7 Glyn Holton, Contingency Analysis introduction offers a broad understanding of 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 p-adic numbers.

Sale price 2003. XIII, 597 p. 70 illus. (Stochastic Modelling and From the reviews 7 It is perhaps the most suitable 7 € 29,95 | £26.99 Applied Probability, Volume 53) Hardcover text for beginners, and I shall definitely 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 ISBN 7 978-0-387-00451-8 recommend it to anyone who asks me what a List price p-adic number is. 7 The Mathematical Gazette 9 7 € 54,95 | £49.99 7 * € (D) 58,80 | € (A) 60,45 | sFr 86,50 2nd ed. 1997. Corr. 3rd printing 2003. VI, 302 p. 15 illus. (Universitext) Softcover Sale price ISBN 7 978-3-540-62911-5 7 € 32,95 | £29.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 List price 7 € 39,95 | £31.99 9 7 * € (D) 42,75 | € (A) 43,95 | sFr 66,50 Sale price 7 € 19,95 | £17.99 97 * € (D) 21,35 | € (A) 21,95 | sFr 31,00

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L. Grafakos, University of Missouri, Columbia, MO, G. Greuel, G. Pfister, University of Kaiserslautern, P. A. Grillet, Tulane University, New Orleans, LA, USA USA Germany Abstract Algebra Classical Fourier Analysis A Singular Introduction to This key textbook covers, with proofs, the usual The primary goal of this text is to present the Commutative Algebra major branches of abstract algebra, with its theoretical foundation of the field of Fourier This substantially enlarged second edition aims inclusive approach meaning that all of the analysis. There are historical notes at the end of to lead a further stage in the computational necessary areas are explored. This new edition each chapter, and examples illustrate the revolution in commutative algebra. This is the has been completed reworked and revised. definitions and ideas. first handbook/tutorial to extensively deal with SINGULAR. 2nd ed. 2007. XII, 676 p. (Graduate Texts in 2nd ed. 2008. XVI, 492 p. 10 illus. (Graduate Texts in Mathematics, Volume 242) Hardcover Mathematics, Volume 249) Hardcover ISBN 7 978-0-387-71567-4 2nd, extended ed. 2008. XX, 690 p. 49 illus. ISBN 7 978-0-387-09431-1 With CD-ROM. Hardcover List price List price ISBN 7 978-3-540-73541-0 7 € 54,95 | £49.99 7 € 46,95 | £42.99 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 List price 7 * € (D) 50,24 | € (A) 51,65 | sFr 73,00 7 € 49,95 | £44.99 Sale price Sale price 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 € 32,95 | £29.99 7 € 29,95 | £26.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 Sale price 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 7 € 32,95 | £29.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 9 9 9 M. Gross, University of Warwick, UK; D. Huybrechts, G. Grätzer, University of Manitoba, Winnipeg, MB, Université Paris 7 Denis Diderot, France; D. Joyce, Canada Lincoln College, Oxford, UK M. Griebel, University of Bonn, Germany; S. Knapek, Universal Algebra TWS Partners, Munich, Germany; G. Zumbusch, Calabi-Yau Manifolds and Friedrich-Schiller-Universität, Jena, Germany Here is the second edition of Universal Algebra, Related Geometries which has become the most authoritative, Numerical Simulation in Lectures at a Summer School in Nordfjordeid, consistently relied on text in the field with Molecular Dynamics Norway, June, 2001 applications in other branches of algebra and This is an introduction to a very active field of other fields such as combinatorics, geometry, Numerics, Algorithms, Parallelization, research, on the boundary between math- and computer science. Applications ematics and physics. It is aimed at graduate This book presents in detail the necessary students and researchers in geometry and string 2nd ed. 1979. 2nd printing 2008. XX, 588 p. 10 illus. numerical methods, the theoretical background theory. Proofs or sketches are given for many Softcover and foundations and the techniques involved in important results. ISBN 7 978-0-387-77486-2 creating particle models, including linked-cell method, SPME-method, tree codes, and From the reviews 7 An excellent introduction to List price multipol technique. current research in the geometry of Calabi-Yau 7 € 62,95 | £56.99 manifolds, hyper-Kähler manifolds, exceptional 7 * € (D) 67,36 | € (A) 69,25 | sFr 98,00 2007. XII, 476 p. 180 illus., 43 in color. (Texts in holonomy and mirror symmetry....This is an Sale price Computational Science and Engineering, Volume 5) excellent and useful book. 7 Mathematical 7 € 39,95 | £35.99 Hardcover Reviews 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 ISBN 7 978-3-540-68094-9 2003. VIII, 239 p. (Universitext) Softcover List price ISBN 7 978-3-540-44059-8 9 7 € 39,95 | £35.99 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 List price 7 € 54,95 | £49.99 Sale price 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 7 € 22,95 | £20.99 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 Sale price 7 € 29,95 | £26.99 9 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 9

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C. Grossmann, H. Roos, TU Dresden, Germany; P. M. Gruber S. J. Gustafson; I. M. Sigal, M. Stynes, University College Cork, Ireland Convex and Discrete Geometry Mathematical Concepts of Numerical Treatment of Partial Convex and Discrete Geometry is an area of Quantum Mechanics Differential Equations mathematics situated between analysis, From the reviews 7 This book is an introduction This book deals with discretization techniques geometry and discrete mathematics with to the mathematics of quantum mechanics.... for partial differential equations of elliptic, numerous relations to other subdisciplines. This The strength of the book is where it shows how the parabolic and hyperbolic type. It introduces the book provides a comprehensive overview of mathematical treatment of quantum mechanics main principles of discretization and details major results, methods and ideas of convex and brings insights to physics....It will be useful to the the ideas and analysis of advanced numerical discrete geometry and its applications. Besides experienced reader as a guide to the impressive methods in the area. being a graduate-level introduction to the field, it is a practical source of information and recent advances in mathematical quantum mechanics. 7 SIAM Review 2007. XII, 596 p. 86 illus. (Universitext) Softcover orientation for convex geometers, and useful to ISBN 7 978-3-540-71582-5 people working in the applied fields. 1st ed. 2003. Enlarged 2nd printing 2006. XI, 290 p. List price 2007. XIV, 580 p. 67 illus. (Grundlehren der math- 37 illus. (Universitext) Softcover 7 € 49,95 | £44.99 ematischen Wissenschaften, Volume 336) Hardcover ISBN 7 978-3-540-44160-1 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 ISBN 7 978-3-540-71132-2 List price Sale price List price 7 € 49,95 | £44.99 7 € 24,95 | £22.99 7 € 99,95 | £89.99 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 7 * € (D) 106,95 | € (A) 109,95 | sFr 155,50 Sale price Sale price 7 € 24,95 | £22.99 9 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 7 € 59,95 | £53.99 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 9 M. Grötschel, Konrad-Zuse-Zentrum, Berlin, 9 Germany; G. O. Katona, Hungarian Academy of Sciences, Budapest, Hungary (Eds.) E. Hairer, C. Lubich, G. Wanner Building Bridges J. Guckenheimer, P. Holmes Geometric Numerical Between Mathematics and Computer Science Nonlinear Oscillations, Integration This collection of articles offers an excellent Dynamical Systems, and Structure-Preserving Algorithms for Ordinary view on the state of combinatorics and related Differential Equations topics. A number of friends and colleagues, all Bifurcations of Vector Fields top authorities in their fields of expertise have This book applies the techniques of dynamical This book covers numerical methods that contributed their latest research papers to this systems and bifurcation theories to the study of preserve properties of Hamiltonian systems, volume. nonlinear oscillations. Numerous exercises reversible systems, differential equations on convey the important analytical underpinnings manifolds and problems with highly oscillatory 2008. 595 p. (Bolyai Society Mathematical Studies, of problems in dynamical systems and help the solutions. It presents a theory of symplectic and Volume 19) Hardcover reader develop an intuitive feel for the symmetric methods, which include various ISBN 7 978-3-540-85218-6 properties involved. specially designed integrators, as well as discusses their construction and practical List price From the reviews 7 The book is rewarding merits. The long-time behavior of the numerical 7 € 99,95 | £89.99 reading....Its excellent survey of the mathematical solutions is studied using a backward error 7 * € (D) 106,95 | € (A) 109,95 | sFr 155,50 literature makes it a valuable reference. analysis combined with KAM theory. 7 Journal of Statistical Physics Sale price 7 € 59,95 | £53.99 2nd ed. 2006. XVII, 644 p. 153 illus. (Springer 1st ed. 1983. Corr. 6th printing 2002. XVI, 459 p. 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 Series in Computational Mathematics, Volume 31) 206 illus. (Applied Mathematical Sciences, Hardcover Volume 42) Hardcover ISBN 7 978-3-540-30663-4 9 ISBN 7 978-0-387-90819-9 List price List price 7 € 94,95 | £85.50 7 € 59,95 | £53.99 7 * € (D) 101,60 | € (A) 104,45 | sFr 147,50 7 * € (D) 64,15 | € (A) 65,95 | sFr 92,00 Sale price Sale price 7 € 56,95 | £51.99 7 € 34,95 | £31.99 7 * € (D) 60,94 | € (A) 62,65 | sFr 88,50 97 * € (D) 37,40 | € (A) 38,45 | sFr 54,50 9

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E. Hairer, S. P. Nørsett, G. Wanner J. K. Hale, Georgia Institute of Technology, Atlanta, P. Halmos Solving Ordinary Differential GA, USA; S. M. Verduyn Lunel, University of Finite-Dimensional Vector Amsterdam, The Netherlands Equations I Spaces Introduction to Functional Nonstiff Problems Differential Equations From the reviews 7 The theory is systematically This book deals with methods for solving developed by the axiomatic method that has, The present book builds upon the earlier work nonstiff ordinary differential equations. since von Neumann, dominated the general of J. Hale, Theory of Functional Differential The reader will benefit from many illustrations, approach to linear functional analysis and that Equations published in 1977. The authors have a historical and didactic approach, and achieves here a high degree of lucidity and attempted to maintain the spirit of that book computer programs. This new edition has been clarity....The book contains about 350 well placed and have retained approximately one-third of rewritten and new material has been included. and instructive problems, which cover a the material intact. considerable part of the subject. All in all this is 2nd rev. ed. 1993. Corr. 3rd printing 2008. an excellent work, of equally high value for both 1993. X, 464 p. 10 illus. (Applied Mathematical XVI, 528 p. 135 illus. (Springer Series in Computa- student and teacher. 7 Zentralblatt MATH tional Mathematics, Volume 8) Hardcover Sciences, Volume 99) Hardcover ISBN 7 978-0-387-94076-2 ISBN 7 978-3-540-56670-0 1st ed. 1974. 5th printing 1993. VII, 200 p. List price List price (Undergraduate Texts in Mathematics) Hardcover 7 € 109,95 | £99.00 7 € 89,95 | £81.00 ISBN 7 978-0-387-90093-3 7 * € (D) 96,25 | € (A) 98,95 | sFr 140,00 7 * € (D) 117,65 | € (A) 120,95 | sFr 171,00 List price Sale price Sale price 7 € 44,95 | £39.99 7 € 66,95 | £60.99 7 € 49,95 | £44.99 7 * € (D) 48,10 | € (A) 49,45 | sFr 69,00 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 * € (D) 71,64 | € (A) 73,65 | sFr 10,40 Sale price 7 € 24,95 | £22.99 9 9 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 9 E. Hairer, G. Wanner B. Hall, University of Notre Dame, IN, USA Solving Ordinary Differential Lie Groups, Lie Algebras, and Representations P. R. Halmos, Santa Clara University, Santa Clara, Equations II CA, USA An Elementary Introduction Stiff and Differential-Algebraic Problems Measure Theory The subject of this book is the solution of stiff This book addresses Lie groups, Lie algebras, differential equations and of differential-alge- and representation theory. The author restricts Useful as a text for students and a reference for braic systems. This second edition contains new attention to matrix Lie groups and Lie algebras. the more advanced mathematician, this book material including new numerical tests, recent This approach keeps the discussion concrete, presents a unified treatment of that part of progress in numerical differential-algebraic allows the reader to get to the heart of the measure theory most useful for its application equations, and improved FORTRAN codes. subject quickly, and covers all of the most in modern analysis. Coverage includes sets and interesting examples. classes, measures and outer measures, Haar From the reviews 7 A superb book...Throughout, measure and measure and topology in groups. illuminating graphics, sketches and quotes from From the reviews 7 Sure to become a standard papers of researchers in the field add an element textbook for graduate students in mathematics From the reviews 7 Will serve the interested of easy informality and motivate the text. and physics with little or no prior exposure to student to find his way to active and creative 7 Mathematics Today Lie theory. 7 L’Enseignement Mathématique work in the field of Hilbert space theory. 7 Mathematical Reviews 2nd rev. ed. 1996. 3rd printing 2004. XVI, 614 p. 1st ed. 2003. Corr. 2nd printing 2004. XVII, 351 p. 137 illus. (Springer Series in Computational 38 illus., 7 in color. (Graduate Texts in Mathematics, 1st ed. 1974. 2nd printing 1974. XI, 304 p. (Graduate Mathematics, Volume 14) Hardcover Volume 222) Hardcover Texts in Mathematics, Volume 18) Hardcover ISBN 7 978-3-540-60452-5 ISBN 7 978-0-387-40122-5 ISBN 7 978-0-387-90088-9 List price List price List price 7 € 109,95 | £99.00 7 € 49,95 | £44.99 7 € 49,95 | £43.99 7 * € (D) 117,65 | € (A) 120,95 | sFr 171,00 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 * € (D) 53,45 | € (A) 54,95 | sFr 75,00 Sale price Sale price Sale price 7 € 66,95 | £60.99 7 € 29,95 | £26.99 7 € 29,95 | £26.99 97 * € (D) 71,64 | € (A) 73,65 | sFr 10,40 97 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 97 * € (D) 32,05 | € (A) 32,95 | sFr 46,50

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P. R. Halmos, Santa Clara University, CA, USA J. Harris, Harvard University, Cambridge, MA, USA; R. Hartshorne, University of California, Berkeley, Naive Set Theory I. Morrison, Fordham University, Bronx, NY, USA CA, USA Moduli of Curves Geometry: Euclid and Beyond From the reviews 7 [The author] uses the This book guides the reader through the This book offers a unique opportunity to language and notation of ordinary informal fascinating subject of algebraic curves and their understand the essence of one of the great mathematics to state the basic set-theoretic facts variance within families. It provides a clear thinkers of western civilization. A guided which a beginning student of advanced math- overview of the field and develops techniques reading of Euclid's Elements leads to a critical ematics needs to know... the book is eminently focusing on examples and applications arising discussion and rigorous modern treatment of suited for use as a textbook or for self-study. from the study of the topic. This well-written Euclid's geometry and its more recent descen- The reader should derive from this volume a book is accessible to readers with a modest dants, with complete proofs. Topics include the maximum of understanding of the theorems background in algebraic geometry. introduction of coordinates, the theory of area, of set theory and of their basic importance history of the parallel postulate, the various in the study of mathematics. 7 Philosophy and 1998. XIII, 388 p. 86 illus. (Graduate Texts in non-Euclidean geometries, and the regular and Phenomenological Research Mathematics, Volume 187) Softcover semi-regular polyhedra. ISBN 7 978-0-387-98429-2 1974. VII, 104 p. (Undergraduate Texts in 1st ed. 2000. Corr. 4th printing 2005. XII, 532 p. Mathematics) Hardcover List price 550 illus. (Undergraduate Texts in Mathematics) ISBN 7 978-0-387-90092-6 7 € 44,95 | £39.99 Hardcover 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 List price ISBN 7 978-0-387-98650-0 7 € 39,95 | £36.99 Sale price List price 7 * € (D) 42,75 | € (A) 43,95 | sFr 63,50 7 € 22,95 | £20.99 7 € 49,95 | £44.99 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 Sale price 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 € 22,95 | £20.99 Sale price 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 9 7 € 29,95 | £26.99 9 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 R. Hartshorne, University of California, Berkeley, CA, USA 9 J. Harris, Harvard University, Cambridge, MA, USA Algebraic Geometry Algebraic Geometry This book provides an introduction to abstract E. Hewitt, University of Washington, Seattle, algebraic geometry. It includes more than 400 WA, USA; K. Stromberg, Kansas State University, A First Course exercises that offer specific examples as well as Manhattan, KS, USA From the reviews 7 This book succeeds brilliantly more specialized topics. Real and Abstract Analysis by concentrating on a number of core topics...and From the reviews 7 Enables the reader to make A Modern Treatment of the Theory of Functions of by treating them in a hugely rich and varied way. the drastic transition between the basic, intuitive a Real Variable The author ensures that the reader will learn a questions about affine and projective varieties large amount of classical material and perhaps with which the subject begins, and the elaborate Contents 7 Set Theory and Algebra7 Topology more importantly, will also learn that there is no general methodology of schemes and cohomology and Continuous Functions 7 The Lebesgue one approach to the subject. The essence lies in employed currently to answer these questions. Integral 7 Function Spaces and Banach Spaces the range and interplay of possible approaches. 7 Mathematical Reviews 7 Differentiation7 Integration on Product The author is to be congratulated on a work of Spaces 7 Index of Symbols 7 Index of Authors deep and enthusiastic scholarship. 1st ed. 1977. Corr. 8th printing 1997. XVI, 496 p. and Terms. 7 Mathematical Reviews 25 illus. (Graduate Texts in Mathematics, Volume 52) Hardcover 1st ed. 1965. 3rd printing 1975. 492 p. (Graduate 1st ed. 1992. Corr. 3rd printing 1995. XIX, 328 p. ISBN 7 978-0-387-90244-9 Texts in Mathematics, Volume 25) Hardcover 83 illus. (Graduate Texts in Mathematics, ISBN 7 978-0-387-90138-1 Volume 133) Hardcover List price ISBN 7 978-0-387-97716-4 7 € 56,95 | £49.99 List price 7 * € (D) 60,94 | € (A) 62,65 | sFr 86,50 7 € 66,95 | £59.99 List price 7 * € (D) 71,64 | € (A) 73,65 | sFr 104,00 7 € 54,95 | £49.99 Sale price 7 * € (D) 58,80 | € (A) 60,45 | sFr 86,50 7 € 32,95 | £29.99 Sale price 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 € 36,95 | £33.99 Sale price 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 7 € 29,95 | £26.99 9 97 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 9

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M. W. Hirsch, University of California, Berkeley, CA, M. H. Holmes, Rensselaer Polytechnic Institute, Troy, J. E. Humphreys, University of Massachusetts, USA NY, USA Amherst, MA, USA Differential Topology Introduction to Numerical Introduction to Lie Algebras Methods in Differential and Representation Theory From the reviews 7 A very valuable book. In little over 200 pages, it presents a well-organized and Equations This book introduces the theory of semisimple surprisingly comprehensive treatment of most of This book shows how to derive, test and analyze Lie algebras over an algebraically closed field of the basic material in differential topology, as far numerical methods for solving differential characteristic 0, with emphasis on represen- as is accessible without the methods of algebraic equations, including both ordinary and partial tations. This text grew out of lectures which the topology....There is an abundance of exercises, differential equations. Includes more than 100 author gave at the N.S.F. Advanced Science which supply many beautiful examples and much illustrations, exercise sets, MATLAB computer Seminar on Algebraic Groups at Bowdoin interesting additional information, and help the codes for both student and instructor, lecture College in 1968. reader to become thoroughly familiar with the slides and movies. From the reviews 7 Exceptionally well written material of the main text 7 Mathematical and ideally suited either for independent reading Reviews 2007. XI, 238 p. (Texts in Applied Mathematics, or as a text for an introduction to Lie algebras Volume 52) Hardcover and their representations. 7 Mathematical Reviews 1st ed. 1976. Corr. 6th printing 1997. X, 222 p. ISBN 7 978-0-387-30891-3 40 illus. (Graduate Texts in Mathematics, Volume 33) List price 1st ed. 1972. Corr. 7th printing 1997. XII, 173 p. Hardcover 7 € 44,95 | £39.99 7 illus. (Graduate Texts in Mathematics, Volume 9) ISBN 7 978-0-387-90148-0 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 Hardcover List price ISBN 7 978-0-387-90053-7 Sale price 7 € 66,95 | £59.99 7 € 24,95 | £22.99 List price 7 * € (D) 71,64 | € (A) 73,65 | sFr 104,00 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 7 € 52,95 | £46.99 Sale price 7 * € (D) 56,66 | € (A) 58,25 | sFr 80,50 7 € 36,95 | £33.99 9 Sale price 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 7 € 29,95 | £26.99 9 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 G. C. Hsiao, University of Delaware, Newark, DE, USA; W. L. Wendland, University of Stuttgart, 9 Germany Ø. Hjelle, Simula Research Laboratory, Lysaker, Boundary Integral Equations Norway; M. Dæhlen, University of Oslo, Norway J. Jahn, Universität Erlangen-Nürnberg, Erlangen, Triangulations and Applications This book examines the basic mathematical Germany properties of solutions to boundary integral This book will serve as a valuable source of equations and details the variational methods Introduction to the Theory of information about triangulations for the for the boundary integral equations arising in Nonlinear Optimization graduate student and researcher. With emphasis elasticity, fluid mechanics and acoustic This book serves as an introductory text to on computational issues, it presents the basic scattering theory. optimization theory in normed spaces and theory necessary to construct and manipulate covers all areas of nonlinear optimization. It triangulations. In particular, the book gives a 2008. XX, 620 p. (Applied Mathematical Sciences, presents fundamentals with particular emphasis tour through the theory behind the Delaunay Volume 164) Hardcover on the application to problems in the calculus of triangulation, including algorithms and ISBN 7 978-3-540-15284-2 variations, approximation and optimal control software issues. It also discusses various data List price theory. The reader is expected to have a basic structures used for the representation of 7 € 79,95 | £72.00 knowledge of linear functional analysis. triangulations. 7 * € (D) 85,55 | € (A) 87,95 | sFr 124,50 3rd ed. 2007. X, 292 p. 31 illus. Hardcover 2006. XI, 234 p. 126 illus., 5 in color. (Mathematics Sale price ISBN 7 978-3-540-49378-5 and Visualization) Hardcover 7 € 49,95 | £44.99 ISBN 7 978-3-540-33260-2 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 List price 7 € 89,95 | £81.00 List price 7 * € (D) 96,25 | € (A) 98,95 | sFr 140,00 7 € 54,95 | £49.99 9 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 Sale price 7 € 52,95 | £47.99 Sale price 7 * € (D) 56,66 | € (A) 58,25 | sFr 82,50 7 € 32,95 | £29.99 97 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 9

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K. Jänich, Universität Regensburg. Germany T. Jech, Mathematical Institute of the Academy of J. Jonsson, KTH Royal Institute of Technology, Topology Sciences of Czech Republic Stockholm, Sweden Translated from the German by S. Levy Set Theory Simplicial Complexes of Graphs The Third Millennium Edition, revised and A graph complex is a finite family of graphs Contents 7 Introduction 7 Fundamental expanded closed under deletion of edges. Graph Concepts 7 Topological Vector Spaces 7 The complexes show up naturally in many different Quotient Topology 7 Completion of Metric From the reviews 7 One of the classical textbooks areas of mathematics. Identifying each graph Spaces 7 Homotopy 7 The Two Countability and reference books in set theory....The present with its edge set, one may view a graph complex Axioms 7 CW-Complexes 7 Construction of ‘Third Millennium’ edition...is a whole new book. as a simplicial complex and hence interpret it as Continuous Functions on Topological Spaces In three parts the author offers us what in his a geometric object. This volume examines 7 Covering Space 7 The Theorem of view every young set theorist should learn and topological properties of graph complexes, Tychonoff7 Set Theory (by T. Bröcker) master....This well-written book promises to focusing on homotopy type and homology. 7 References 7 Table of Symbols 7 Index. influence the next generation of set theorists, Many of the proofs are based on Robin much as its predecessor has done. Forman's discrete version of Morse theory. 1st ed. 1984. 2nd Corr. printing 1995. IX, 192 p. 7 Mathematical Reviews 181 illus. (Undergraduate Texts in Mathematics) 2008. XIV, 382 p. 34 illus. (Lecture Notes in Hardcover 3rd rev. ed. Corr. 4th printing 2006. XIV, 772 p. Mathematics, Volume 1928) Softcover ISBN 7 978-0-387-90892-2 (Springer Monographs in Mathematics) Hardcover ISBN 7 978-3-540-75858-7 ISBN 7 978-3-540-44085-7 List price List price 7 € 49,95 | £44.99 List price 7 € 49,95 | £44.99 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 € 119,95 | £108.00 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 * € (D) 128,35 | € (A) 131,95 | sFr 186,50 Sale price Sale price 7 € 29,95 | £26.99 Sale price 7 € 32,95 | £29.99 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 7 € 69,95 | £62.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 9 97 * € (D) 74,85 | € (A) 76,95 | sFr 10,90 9

K. Jänich, University of Regensburg, Germany J. Jost, Max Planck Institute for Mathematics in the Vector Analysis E. Jondeau, University of Lausanne, Switzerland; Sciences, Leipzig, Germany S. Poon, University of Manchester, UK; Translated from the German by L. Kay M. Rockinger, University of Lausanne, Switzerland Compact Riemann Surfaces This book presents modern vector analysis and Financial Modeling Under Non- An Introduction to Contemporary Mathematics carefully describes the classical notation and Gaussian Distributions Unique among textbooks on Riemann surfaces, understanding of the theory. It covers all of the this book includes an introduction to Teich- classical vector analysis in Euclidean space, as This book examines non-Gaussian distributions. müller theory. For this new edition, the author well as on manifolds, and goes on to introduce It addresses the causes and consequences of has expanded and rewritten several sections to de Rham Cohomology, Hodge theory, non-normality and time dependency in both include additional material and to improve the elementary differential geometry, and basic asset returns and option prices. The book is presentation. duality. The material is accessible to readers and written for non-mathematicians who want to students with only calculus and linear algebra as model financial market prices so the emphasis 3rd ed. 2006. XVIII, 282 p. 23 illus. (Universitext) prerequisites. A large number of illustrations, throughout is on practice. There are abundant Softcover exercises, and tests with answers make this book empirical illustrations of the models and ISBN 7 978-3-540-33065-3 an invaluable self-study source. techniques described, many of which could be equally applied to other financial time series. List price 2001. XIV, 281 p. 114 illus. (Undergraduate Texts in 7 € 44,95 | £35.99 Mathematics) Hardcover 2007. XVIII, 542 p. 129 illus. (Springer Finance) 7 * € (D) 48,10 | € (A) 49,45 | sFr 75,00 ISBN 7 978-0-387-98649-4 Hardcover Sale price ISBN 7 978-1-84628-419-9 List price 7 € 22,95 | £20.99 7 € 44,95 | £39.99 List price 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 7 € 69,95 | £50.00 7 * € (D) 74,85 | € (A) 76,95 | sFr 116,50 9 Sale price 7 € 24,95 | £22.99 Sale price 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 7 € 42,95 | £38.99 9 97 * € (D) 45,96 | € (A) 47,25 | sFr 67,00

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J. Jost, Max Planck Institute for Mathematics in the T. Kaczynski, Université de Sherbrooke, QC, Canada; I. Karatzas, S. E. Shreve Sciences, Leipzig, Germany K. Mischaikow, Georgia Institute of Technology, Methods of Mathematical Partial Differential Equations Atlanta, GA, USA; M. Mrozek, Jagiellonian Univer- sity, Krakow, Poland Finance This book develops the important approaches to Computational Homology Written by two of the best-known researchers in the existence and regularity of partial differen- mathematical finance, Methods of Mathematical tial equations, in particular of elliptic (and This interdisciplinary book uses the computer Finance will appeal to theorists and practition- parabolic) type, particularly those aspects and to take a combinatorial computational approach ers in this very active research area. It is the methods that are relevant not only for linear, to homological problems. It will appeal sequel to Brownian Motion and Stochastic but also for nonlinear equations. especially to researchers and students in Calculus by the same authors, and includes mathematics, computer science, nonlinear much material that has not appeared before in 2nd ed. 2007. XIV, 356 p. 10 illus. (Graduate Texts in dynamics, and engineering. book form. Mathematics, Volume 214) Hardcover ISBN 7 978-0-387-49318-3 2004. XVII, 480 p. 78 illus. (Applied Mathematical From the reviews 7 Constitutes a valuable Sciences, Volume 157) Hardcover research-level text which should be consulted by List price ISBN 7 978-0-387-40853-8 anyone interested in the area. 7 Mathematical 7 € 46,95 | £37.99 Reviews 7 * € (D) 50,24 | € (A) 51,65 | sFr 78,00 List price 7 € 74,95 | £67.99 Sale price 1st ed. 1998. Corr. 3rd printing 2001. XV, 415 p. 7 * € (D) 80,20 | € (A) 82,45 | sFr 116,50 7 € 26,95 | £24.99 (Stochastic Modelling and Applied Probability, 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 Sale price Volume 39) Hardcover 7 € 44,95 | £40.99 ISBN 7 978-0-387-94839-3 9 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 List price 7 € 66,95 | £59.99 9 7 * € (D) 71,64 | € (A) 73,65 | sFr 104,00 J. Jost, Max Planck Institute for Mathematics in the Sale price Sciences, Leipzig, Germany 7 € 39,95 | £35.99 Postmodern Analysis I. Karatzas, Columbia University, New York, NY, USA; 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 S. E. Shreve, Carnegie Mellon University, Pittsburgh, Translated from the German by H. Azad PA, USA 9 This is an introduction to advanced analysis that Brownian Motion and supports a modern presentation with concrete examples and applications, in particular in the Stochastic Calculus M. Kashiwara, University of Kyoto, Japan; areas of calculus of variations and partial This book contains a detailed discussion of P. Schapira, Université Pierre et Marie Curie, Paris, differential equations. The book aims to impart weak and strong solutions of stochastic France a working knowledge of the key methods of differential equations and a study of local time contemporary analysis, in particular those that for semimartingales, with special emphasis on Categories and Sheaves are also relevant for application in physics. the theory of Brownian local time. Includes a Categories and sheaves appear almost frequently large number of problems and exercises. in contemporary advanced mathematics. This 3rd ed. 2005. XV, 371 p. 14 illus. (Universitext) From the reviews 7 A valuable book for every book covers categories, homological algebra and Softcover graduate student studying stochastic process, and sheaves in a systematic manner starting from ISBN 7 978-3-540-25830-8 for those who are interested in pure and applied scratch and continuing with full proofs to the List price probability. The authors have done a good job. most recent results in the literature, and 7 € 39,95 | £31.99 7 Mathematical Reviews sometimes beyond. The authors present the 7 * € (D) 42,75 | € (A) 43,95 | sFr 66,50 general theory of categories and functors, 2nd ed. 1991. Corr. 8th printing 2005. XXIII, 470 p. emphasizing inductive and projective limits, Sale price 10 illus. (Graduate Texts in Mathematics, tensor categories, representable functors, 7 € 19,95 | £17.99 Volume 113) Softcover ind-objects and localization. 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 ISBN 7 978-0-387-97655-6 2006. X, 497 p. (Grundlehren der mathematischen List price 9 Wissenschaften, Volume 332) Hardcover 7 € 49,95 | £44.99 ISBN 7 978-3-540-27949-5 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 List price Sale price 7 € 89,95 | £71.00 7 € 24,95 | £22.99 7 * € (D) 96,25 | € (A) 98,95 | sFr 149,50 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 Sale price 9 7 € 52,95 | £47.99 97 * € (D) 56,66 | € (A) 58,25 | sFr 82,50

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M. Kashiwara, P. Schapira A. S. Kechris, California Institute of Technology, N. Koblitz, University of Washington, Seattle, WA, Sheaves on Manifolds Pasadena, CA, USA USA With a Short History "Les debuts de la théorie des Classical Descriptive Set Theory A Course in Number Theory and faisceaux" by Christian Houzel Descriptive set theory has been one of the main Cryptography Sheaf Theory is modern, active field of areas of research in set theory for almost a This is a revised and updated introduction to mathematics at the intersection of algebraic century. This text presents a largely balanced arithmetic topics, both ancient and modern, topology, algebraic geometry and partial approach to the subject, which combines many that have been at the center of interest in differential equations. This volume offers a elements of the different traditions. It includes applications of number theory, particularly in comprehensive and self-contained treatment of a wide variety of examples, more than 400 cryptography. It takes an algorithmic approach, Sheaf Theory from the basis up, with emphasis exercises, and applications, in order to illustrate emphasizing estimates of the efficiency of the on the microlocal point of view. the general concepts and results of the theory. techniques that arise from the theory, and includes recent applications of the theory of From the reviews 7 Clearly and precisely written, 1995. XX, 428 p. 34 illus. (Graduate Texts in elliptic curves. Extensive exercises and careful and contains many interesting ideas: it describes Mathematics, Volume 156) Hardcover answers are an integral part all of the chapters. a whole, largely new branch of mathematics. ISBN 7 978-0-387-94374-9 7 Bulletin of the L.M.S. List price 2nd ed. 1994. X, 235 p. 6 illus. (Graduate Texts in Mathematics, Volume 114) Hardcover 1st ed. 1990. 3rd printing 2002. X, 512 p. (Grund- 7 € 59,95 | £53.99 ISBN 7 978-0-387-94293-3 lehren der mathematischen Wissenschaften, 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 Volume 292) Hardcover Sale price List price ISBN 7 978-3-540-51861-7 7 € 32,95 | £29.99 7 € 49,95 | £43.99 7 * € (D) 53,45 | € (A) 54,95 | sFr 75,00 List price 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 € 99,95 | £89.99 Sale price 7 * € (D) 106,95 | € (A) 109,95 | sFr 155,50 9 7 € 29,95 | £26.99 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 Sale price 7 € 59,95 | £53.99 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 R. Kiehl, R. Weissauer, University of Mannheim, 9 Germany 9 Weil Conjectures, Perverse Sheaves and l'adic Fourier N. I. Koblitz, University of Washington, Seattle, WA, USA Transform C. Kassel, Université Louis Pasteur, Strasbourg, Introduction to Elliptic Curves France The authors describe the important generaliza- and Modular Forms tion of the original Weil conjectures, as given Quantum Groups by P. Deligne in his fundamental paper "La The theory of elliptic curves and modular forms Here is an introduction to the theory of conjecture de Weil II". The authors follow the provides a fruitful meeting ground for such quantum groups with emphasis on the important and beautiful methods of Laumon diverse areas as number theory, complex spectacular connections with knot theory and and Brylinski which lead to a simplification of analysis, algebraic geometry, and representation Drinfeld's recent fundamental contributions. It Deligne's theory. Deligne's work is closely theory. This book starts out with a problem presents the quantum groups attached to SL2 as related to the sheaf theoretic theory of perverse from elementary number theory and proceeds well as the basic concepts of the theory of Hopf sheaves. In this framework Deligne's results on to lead its reader into the modern theory, algebras. Coverage also focuses on Hopf global weights and his notion of purity of covering such topics as the Hasse-Weil algebras that produce solutions of the Yang- complexes obtain a satisfactory and final form. L-function and the conjecture of Birch and Baxter equation and provides an account of Therefore the authors include the complete Swinnerton-Dyer. This new edition details the Drinfeld's elegant treatment of the monodromy theory of middle perverse sheaves. current state of knowledge of elliptic curves. of the Knizhnik-Zamolodchikov equations. 2001. XII, 375 p. (Ergebnisse der Mathematik und 2nd ed. 1993. 268 p. 25 illus. (Graduate Texts in 1995. XII, 552 p. 88 illus. (Graduate Texts in ihrer Grenzgebiete. 3. Folge / A Series of Modern Mathematics, Volume 97) Hardcover Mathematics, Volume 155) Hardcover Surveys in Mathematics, Volume 42) Hardcover ISBN 7 978-0-387-97966-3 ISBN 7 978-3-540-41457-5 ISBN 7 978-0-387-94370-1 List price List price List price 7 € 54,95 | £49.99 7 € 66,95 | £59.99 7 € 149,95 | £135.00 7 * € (D) 58,80 | € (A) 60,45 | sFr 86,50 7 * € (D) 160,45 | € (A) 164,95 | sFr 233,00 7 * € (D) 71,64 | € (A) 73,65 | sFr 104,00 Sale price Sale price Sale price 7 € 29,95 | £26.99 7 € 36,95 | £33.99 7 € 89,95 | £81,00 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 97 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 97 * € (D) 96,25 | € (A) 98,95 | sFr 14,00 9

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U. Kohlenbach, Technische Universität Darmstadt, A. Kox, University of Amsterdam, The Netherlands M. Kreuzer, University of Passau, Germany; Germany (Ed.) L. Robbiano, University of Genova, Italy Applied Proof Theory: Proof The Scientific Correspondence Computational Commutative Interpretations and their Use in of H.A. Lorentz Algebra 1 Mathematics Volume I This accessible introduction to Grobner bases This is the first treatment in book format of Here is a selection of more than 400 letters from and their applications helps bridge the gap proof-theoretic transformations – known as and to the Dutch physicist and Nobel Prize between theoretical computer algebra and proof interpretations – that focuses on winner Hendrik Antoon Lorentz, covering the actual computation. It includes 44 tutorials applications to ordinary mathematics. It covers period from 1883 until just before his death. and 165 exercises as well as other numerous both the necessary logical machinery behind The letters have been selected primarily amusements. the proof interpretations that are used in recent according to scientific interest. applications as well as – via extended case 1st ed. 2000. Corr. 2nd printing 2008. X, 322 p. studies – carrying out some of these appli- 2008. XXIV, 780 p. 35 illus. (Sources and Studies in Hardcover cations in full detail. the History of Mathematics and Physical Sciences) ISBN 7 978-3-540-67733-8 Hardcover List price 2008. XX, 536 p. (Springer Monographs in ISBN 7 978-0-387-77939-3 7 € 59,95 | £53.99 Mathematics) Hardcover List price 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 ISBN 7 978-3-540-77532-4 7 € 94,95 | £85.50 Sale price List price 7 * € (D) 101,60 | € (A) 104,45 | sFr 147,50 7 € 36,95 | £33.99 7 € 69,95 | £62.99 Sale price 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 7 * € (D) 74,85 | € (A) 76,95 | sFr 109,00 7 € 56,95 | £51.99 Sale price 7 * € (D) 60,94 | € (A) 62,65 | sFr 88,50 9 7 € 42,95 | £38.99 7 * € (D) 45,96 | € (A) 47,25 | sFr 67,00 9 M. Kreuzer, University of Dortmund, Germany; 9 L. Robbiano, University of Geneva, Italy R. Kress, University of Göttingen, Germany Computational Commutative Numerical Analysis Algebra 2 P. Kotelenez, Case Western Reserve University, Cleveland, OH, USA This introduction to numerical analysis guides From the reviews 7 The second volume of the readers towards the basic ideas and general authors’ ‘Computational commutative algebra’… Stochastic Ordinary and principles by way of the main and important covers on its 586 pages a wealth of interesting Stochastic Partial Differential numerical methods. The book includes the material with several unexpected applications. … necessary basic functional analytic tools for the Equations an encyclopedia on computational commutative solid mathematical foundation of numerical Transition from Microscopic to Macroscopic algebra, a source for lectures on the subject as well analysis – indispensable for any deeper study Equations as an inspiration for seminars. The text is and understanding of numerical methods, in recommended for all those who want to learn and This book analyzes mathematical models of particular, for differential equations and integral enjoy an algebraic tool that becomes more and time-dependent physical phenomena on equations. microscopic, macroscopic and mesoscopic more relevant to different fields of applications. 7 Zentralblatt MATH levels. It provides a rigorous derivation of each 1998. XII, 344 p. 11 illus. (Graduate Texts in level from the preceding one and examines the Mathematics, Volume 181) Hardcover 2005. X, 586 p. Hardcover resulting mesoscopic equations in detail. ISBN 7 978-0-387-98408-7 ISBN 7 978-3-540-25527-7 List price 2008. X, 460 p. (Stochastic Modelling and Applied List price 7 € 59,95 | £53.99 Probability, Volume 58) Hardcover 7 € 54,95 | £49.99 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 ISBN 7 978-0-387-74316-5 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 Sale price List price Sale price 7 € 32,95 | £29.99 7 € 54,95 | £49.99 7 € 36,95 | £33.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 Sale price 9 7 € 32,95 | £29.99 9 97 * € (D) 35,26 | € (A) 36,25 | sFr 51,50

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T. Kugler, J. C. Smith, T. Connolly, Y. Son, (Eds.) Y. A. Kuznetsov, Rijskuniversiteit Utrecht, S. Lang, Yale University, New Haven, CT, USA Decision Modeling and Behavior The Netherlands Algebra Elements of Applied Bifurcation in Complex and Uncertain This book is intended as a basic text for a one Environments Theory year course in algebra at the graduate level or as a useful reference for mathematicians and This text examines new research at the interface This book presents nonlinear dynamical systems professionals who use higher-level algebra. This of operations research, behavioral and cognitive and their bifurcations, providing explicit book successfully addresses all of the basic sciences, and decision analysis. From the procedures and examples for the application of concepts of algebra. cognitive behaviorist who collects empirical general mathematical results to particular evidence as to how people make decisions to the problems. This new edition incorporates many From the reviews of the First Edition 7 The engineer and economist who are the consumers recent theoretical developments, in particular, author has an impressive knack for presenting the of such understanding, the reader encounters new and improved numerical methods for important and interesting ideas of algebra in just the familiar Traveling Salesman Problem and bifurcation analysis. the "right" way, and he never gets bogged down in Prisoner's dilemma, how agricultural decisions From the reviews of the First Edition 7 I know of the dry formalism which pervades some parts of are made in Argentina's Pampas region, and no other book that so clearly explains the basic algebra. 7 MathSciNet some social goals that come into play as an phenomena of bifurcation theory. 7 Mathematical element of rational decision-making. Reviews 3rd rev. ed. 2002. Corr. 4th printing 2004. XV, 914 p. (Graduate Texts in Mathematics, Volume 211) 2008. XII, 364 p. 55 illus. (Springer Optimization and 3rd ed. 2004. XXII, 631 p. 251 illus. (Applied Hardcover Its Applications, Volume 21) Hardcover Mathematical Sciences, Volume 112) Hardcover ISBN 7 978-0-387-95385-4 ISBN 7 978-0-387-77130-4 ISBN 7 978-0-387-21906-6 List price List price List price 7 € 59,95 | £53.99 7 € 72,95 | £65.99 7 € 76,95 | £60.99 7 * € (D) 64,15 | € (A) 65,95 | sFr 92,00 7 * € (D) 78,06 | € (A) 80,25 | sFr 113,50 7 * € (D) 82,34 | € (A) 84,65 | sFr 128,00 Sale price Sale price Sale price 7 € 34,95 | £31.99 7 € 44,95 | £40.99 7 € 46,95 | £42.99 7 * € (D) 37,40 | € (A) 38,45 | sFr 54,50 97 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 97 * € (D) 50,24 | € (A) 51,65 | sFr 73,00 9

S. Lang, Yale University, New Haven, CT, USA H. Kuo, Louisiana State University, Baton Rouge, A. E. Kyprianou, University of Bath, UK Algebraic Number Theory LA, USA Introductory Lectures on Introduction to Stochastic This is a second edition of Lang's well-known Fluctuations of Lévy Processes textbook. It covers all of the basic material of Integration with Applications classical algebraic number theory, giving the Also called Ito calculus, the theory of stochastic student the background necessary for the study This textbook forms the basis of a graduate integration has applications in virtually every of further topics in algebraic number theory, course on the theory and applications of Lévy scientific area involving random functions. such as cyclotomic fields, or modular forms. processes, from the perspective of their path This introductory textbook provides a concise fluctuations. The book aims to be mathemati- From the reviews 7 Lang's books are always of introduction to the Ito calculus. cally rigorous while still providing an intuitive great value for the graduate student and the From the reviews 7 Introduction to Stochastic feel for underlying principles. The results and research mathematician. This updated edition of Integration is exactly what the title says. I would applications often focus on the case of Lévy Algebraic number theory is no exception. maybe just add a ‘friendly’ introduction because processes with jumps in only one direction, for 7 Mathematical Reviews of the clear presentation and flow of the contents. which recent theoretical advances have yielded 7 The Mathematical Sciences Digital Library a higher degree of mathematical transparency 2nd ed. 1994. Corr. 3rd printing 2000. XIII, 357 p. and explicitness. 7 illus. (Graduate Texts in Mathematics, Volume 110) 2006. XIII, 279 p. 2 illus. (Universitext) Softcover Hardcover ISBN 978-0-387-94225-4 ISBN 7 978-0-387-28720-1 2006. XIII, 378 p. 22 illus. (Universitext) Softcover 7 ISBN 7 978-3-540-31342-7 List price List price € 54,95 | £46.99 7 € 39,95 | £36.99 List price 7 * € (D) 58,80 | € (A) 60,45 | sFr 80,50 7 * € (D) 42,75 | € (A) 43,95 | sFr 63,50 7 € 39,95 | £31.99 7 7 * € (D) 42,75 | € (A) 43,95 | sFr 66,50 Sale price Sale price € 32,95 | £29.99 7 € 19,95 | £17.99 Sale price 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 7 € 19,95 | £17.99 7 9 97 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 9

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S. Lang, Yale University, New Haven, CT, USA S. Lang, Yale University, New Haven, CT, USA R. Lazarsfeld, University of Michigan, Ann Arbor, Fundamentals of Differential Real and Functional Analysis MI, USA Positivity in Algebraic Geometry This book is meant as a text for a first-year Geometry I This book provides an introduction to the basic graduate course in analysis. In a sense, it covers concepts in differential topology, differential the same topics as elementary calculus but treats Classical Setting: Line Bundles and Linear Series them in a manner suitable for people who will geometry, and differential equations, and some Here is the first part of a two volume work that be using it in further mathematical investi- of the main basic theorems in all three areas. contains a contemporary account of positivity gations. The organization avoids long chains of This new edition includes new chapters, in complex algebraic geometry. Topics in this logical interdependence, so that chapters are sections, examples, and exercises. volume include ample line bundles and linear mostly independent. This allows a course to series on a projective variety, the classical From the reviews 7 There are many books on the omit material from some chapters without theorems of Lefschetz and Bertini and their fundamentals of differential geometry, but this compromising the exposition of material from modern outgrowths, vanishing theorems, and one is quite exceptional; this is not surprising for later chapters. those who know Serge Lang's books. local positivity. 7 EMS Newsletter 3rd ed. 1993. 600 p. 37 illus. (Graduate Texts in 1st ed. 2004. 2nd printing 2007. XVIII, 387 p. 25 illus. Mathematics, Volume 142) Hardcover Softcover 1st ed. 1999. Corr. 2nd printing 2001. XVII, 535 p. ISBN 7 978-0-387-94001-4 22 illus. (Graduate Texts in Mathematics, ISBN 7 978-3-540-22528-7 List price Volume 191) Hardcover List price 7 € 54,95 | £49.99 ISBN 7 978-0-387-98593-0 7 € 36,95 | £29.99 7 * € (D) 58,80 | € (A) 60,45 | sFr 86,50 List price 7 * € (D) 39,54 | € (A) 40,65 | sFr 61,50 Sale price 7 € 59,95 | £49.99 Sale price 7 € 29,95 | £26.99 7 * € (D) 64,15 | € (A) 65,95 | sFr 86,50 7 € 19,95 | £17.99 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 Sale price 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 7 € 34,95 | £31.99 9 7 * € (D) 37,40 | € (A) 38,45 | sFr 54,50 9 9 S. Lang, Yale University, New Haven, CT, USA R. Lazarsfeld, University of Michigan, Ann Arbor, Short Calculus MI, USA S. Lang, Yale University, New Haven, CT, USA The Original Edition of "A First Course in Calculus" Positivity in Algebraic

Introduction to Differentiable From the reviews 7 This is a reprint of the Geometry II Manifolds original edition of Lang’s ‘A First Course in Positivity for Vector Bundles, and Multiplier Ideals Since this book is intended as a text to follow Calculus’, which was first published in 1964....The Here is the second part of a two-volume work advanced calculus, manifolds are assumed finite treatment is ‘as rigorous as any mathematician that contains a contemporary account of dimensional. The author has made numerous would wish it’....[The exercises] are refreshingly positivity in complex algebraic geometry. corrections to this new edition, and he has also simply stated, without any extraneous verbiage, This volume begins with a survey of positivity added a chapter on applications of Stokes' and at times quite challenging....There are for vector bundles and moves on to a systematic Theorem. answers to all the exercises set and some development of the theory of multiplier ideals supplementary problems on each topic to tax and their applications. At least a third of the 2002. XI, 250 p. 12 illus. (Universitext) Hardcover even the most able. 7 Mathematical Gazette book is devoted to concrete examples, appli- ISBN 7 978-0-387-95477-6 cations, and pointers to further developments. Reprint of the 1st ed. Addison-Wesley, 1964. List price 2002. XII, 260 p. 30 illus. (Undergraduate Texts in 2004. XVIII, 385 p. 20 illus. Softcover 7 € 54,95 | £49.99 Mathematics) Softcover ISBN 7 978-3-540-22531-7 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 ISBN 7 978-0-387-95327-4 List price Sale price List price 7 € 36,95 | £29.99 7 € 32,95 | £29.99 7 € 39,95 | £36.99 7 * € (D) 39,54 | € (A) 40,65 | sFr 61,50 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 * € (D) 42,75 | € (A) 43,95 | sFr 63,50 Sale price 9 Sale price 7 € 19,95 | £17.99 7 € 19,95 | £17.99 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 97 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 9

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J. M. Lee, University of Washington, Seattle, WA, M. Loeve W. Lück, University of Münster, Germany USA Probability Theory I L2-Invariants: Theory and Introduction to Smooth This book is intended as a text for graduate Applications to Geometry and Manifolds students and as a reference for workers in K-Theory probability and statistics. The prerequisite is This introductory graduate-level textbook In algebraic topology some classical invariants honest calculus. familiarizes students with the tools they will – such as Betti numbers and Reidemeister need to use manifolds in research. The approach torsion – are defined for compact spaces and 4th ed. 1977. 452 p. (Graduate Texts in is as concrete as possible, with pictures and finite group actions. They can be generalized Mathematics, Volume 45) Hardcover intuitive discussions of how one should think using von Neumann algebras and their traces, ISBN 7 978-0-387-90210-4 geometrically about the abstract concepts, while and applied also to non-compact spaces and making full use of the powerful tools that List price infinite groups. These new L2-invariants contain modern mathematics has to offer. Along the 7 € 62,95 | £49.99 very interesting and novel information and can way, the book introduces some of the most 7 * € (D) 67,36 | € (A) 69,25 | sFr 104,50 be applied to problems arising in topology, important examples of geometric structures K-Theory, differential geometry, non-commuta- Sale price that manifolds can carry. tive geometry and spectral theory. 7 € 34,95 | £31.99 7 * € (D) 37,40 | € (A) 38,45 | sFr 54,50 2003. XVIII, 638 p. 157 illus. (Graduate Texts in 2002. XV, 595 p. (Ergebnisse der Mathematik und Mathematics, Volume 218) Softcover ihrer Grenzgebiete. 3. Folge / A Series of Modern ISBN 7 978-0-387-95448-6 9 Surveys in Mathematics, Volume 44) Hardcover List price ISBN 7 978-3-540-43566-2 7 € 49,95 | £44.99 List price M. Loeve 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 € 139,95 | £110.50 Sale price Probability Theory II 7 * € (D) 149,75 | € (A) 153,95 | sFr 232,50 7 € 24,95 | £22.99 Parts Two to Five inclusive require about three Sale price 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 to four semesters of graduate study. Numerous 7 € 84,95 | £76.99 historical marks about results, methods, and the 7 * € (D) 90,90 | € (A) 93,45 | sFr 13,20 9 evolution of various fields are an intrinsic part of the text. About a third of the second volume 9 is devoted to conditioning and properties of J. M. Lee, University of Washington, Seattle, WA, sequences of various types of dependence. USA J. Ma, J. Yong 4th ed. 1978. 3rd printing 1994. XVI, 431 p. Introduction to Topological (Graduate Texts in Mathematics, Volume 46) Forward-Backward Stochastic Manifolds Hardcover Differential Equations and their ISBN 7 978-0-387-90262-3 Manifolds play an important role in topology, Applications geometry, complex analysis, algebra, and List price This volume is a survey/monograph on the classical mechanics. Learning manifolds differs 7 € 62,95 | £49.99 recently developed theory of forward-backward from most other introductory mathematics in 7 * € (D) 67,36 | € (A) 69,25 | sFr 104,50 stochastic differential equations (FBSDEs). that the subject matter is often completely Sale price Basic techniques such as the method of optimal unfamiliar. This introduction guides readers by 7 € 34,95 | £31.99 control, the "Four Step Scheme", and the explaining the roles manifolds play in diverse 7 * € (D) 37,40 | € (A) 38,45 | sFr 54,50 method of continuation are presented in full. branches of mathematics and physics. The book Related topics such as backward stochastic begins with the basics of general topology and PDEs and many applications of FBSDEs are also gently moves to manifolds, the fundamental 9 discussed in detail. group, and covering spaces.

1st ed. 1999. Corr. 3rd printing 2007. XIV, 274 p. 2000. XVII, 385 p. 194 illus. (Graduate Texts in (Lecture Notes in Mathematics, Volume 1702) Mathematics, Volume 202) Softcover Softcover ISBN 7 978-0-387-95026-6 ISBN 7 978-3-540-65960-0 List price List price 7 € 39,95 | £36.99 7 € 42,95 | £33.99 7 * € (D) 42,75 | € (A) 43,95 | sFr 63,50 7 * € (D) 45,96 | € (A) 47,25 | sFr 71,50 Sale price Sale price 7 € 19,95 | £17.99 7 € 22,95 | £20.99 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 9 97 * € (D) 24,56 | € (A) 25,25 | sFr 36,00

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S. MacLane, University of Chicago, IL, USA; Y. Malevergne, CNRS and University of Nice-Sophia D. Marker, University of Illinois, Chicago, IL, USA I. Moerdijk, University of Utrecht, The Netherlands Antipolis, France; D. Sornette, ETH Zürich, Zürich, Model Theory: An Introduction Sheaves in Geometry and Logic Switzerland From the reviews 7 Model theory is the branch of A First Introduction to Topos Theory Extreme Financial Risks mathematical logic that examines what it means From Dependence to Risk Management Sheaves arose in geometry as coefficients for for a first-order sentence... to be true in a cohomology and as descriptions of the From the reviews 7 Clearly elucidates extreme particular structure....This is a text for graduate functions appropriate to various kinds of financial risks associated with rare events such as students, mainly aimed at those specializing in manifolds. Sheaves also appear in logic as financial crashes. The highlight of the book is the logic, but also of interest for mathematicians carriers for models of set theory. This text delineation of various copulas in conjunction outside logic who want to know what model presents topos theory as it has developed from with financial dependences among different assets theory can offer them...it is one which makes a the study of sheaves. Beginning with several of a portfolio. In particular, the insightful good case for model theory as much more than a examples, it explains the underlying ideas of discussion on quadrant and orthant dependences tool for specialist logicians. 7 The Mathematical topology and sheaf theory as well as the general casts new light on the connection between Gazette theory of elementary toposes and geometric marginal models and financial dependence... morphisms and their relation to logic. brings a vivid portrayal of the subject. 2002. VIII, 342 p. 2 illus. (Graduate Texts in 7 Mathematical Reviews Mathematics, Volume 217) Hardcover 1st ed. 1992. Corr. 2nd printing 1994. XII, 629 p. ISBN 7 978-0-387-98760-6 (Universitext) Softcover 2006. XVI, 312 p. 62 illus. Softcover ISBN 7 978-0-387-97710-2 List price ISBN 7 978-3-540-27264-9 7 € 49,95 | £44.99 List price List price 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 € 66,95 | £59.99 7 € 54,95 | £49.99 7 * € (D) 71,64 | € (A) 73,65 | sFr 104,00 Sale price 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 7 € 29,95 | £26.99 Sale price Sale price 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 7 € 32,95 | £29.99 7 € 29,95 | £26.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 9 9 9 J. Marsden, A. Weinstein

P. Magal, University of Le Havre, France; S. Ruan, Calculus I R. Mansuy, Bourg-la-Reine, France; University of Miami, Coral Gables, FL, USA (Eds.) M. Yor, Université Paris VI, Paris, France The third of a three-volume work, this book is the outgrowth of the authors' experience Structured Population Models Aspects of Brownian Motion in Biology and Epidemiology teaching calculus at Berkeley. It covers Stochastic calculus and excursion theory are multivariable calculus and begins with the Topics include population models structured by very efficient tools for obtaining either exact or necessary material from analytical geometry. age, size, and spatial position; size-structured asymptotic results about Brownian motion and It goes on to cover partial differention, the models for metapopulations, macroparasitic related processes. This book focuses on special gradient and its applications, multiple integra- diseases, and prion proliferation; models for classes of Brownian functionals, including tion, and the theorems of Green, Gauss and transmission of microparasites between host Gaussian subspaces of the Gaussian space of Stokes. Features many solved problems and populations living on non-coincident spatial Brownian motion; Brownian quadratic extensive exercises. domains; spatiotemporal patterns of disease funtionals; Brownian local times; Exponential spread; method of aggregation of variables in functionals of Brownian motion with drift; 2nd ed. 1985. XV, 397 p. 528 illus. population dynamics; and biofilm models. Time spent by Brownian motion below a (Undergraduate Texts in Mathematics) Softcover multiple of its one-sided supremum. ISBN 7 978-0-387-90974-5 2008. XII, 302 p. 63 illus., 32 in color. (Lecture List price Notes in Mathematics / Mathematical Biosciences 2008. XIV, 200 p. (Universitext) Softcover 7 € 39,95 | £36.99 Subseries, Volume 1936) Softcover ISBN 7 978-3-540-22347-4 7 * € (D) 42,75 | € (A) 43,95 | sFr 63,50 ISBN 7 978-3-540-78272-8 List price Sale price List price 7 € 39,95 | £35.99 7 € 19,95 | £17.99 7 € 49,95 | £44.99 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 Sale price Sale price 7 € 26,95 | £24.99 9 7 € 32,95 | £29.99 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 97 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 9

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J. Marsden, California Institute of Technology, D. Marsh J. Matousek, Charles University, Prague, Czech Pasadena, CA, USA; A. Weinstein, University of Applied Geometry for Computer Republic; B. Gärtner, ETH Zurich, Switzerland California, Berkeley, CA, USA Graphics and CAD Understanding and Using Calculus II Linear Programming Focusing on the manipulation and represen- The second of a three-volume work, this book is tation of geometrical objects, this book explores The book is an introductory textbook mainly for the outgrowth of the authors' experience the application of geometry to computer students of computer science and mathematics. teaching calculus at Berkeley. It covers the graphics and computer-aided design (CAD). Its guiding phrase is "what every theoretical techniques and applications of integration, Over 300 exercises are included, some new to computer scientist should know about linear infinite series, and differential equations. this edition, and many of which encourage the programming". A major focus is on applications Throughout the book, the authors motivate the reader to implement the techniques and of linear programming. study of calculus using its applications. Many algorithms discussed through the use of a solved problems are included and extensive computer package with graphing and computer 2007. VIII, 226 p. 62 illus. (Universitext) Softcover exercises are given at the end of each section. algebra capabilities. A dedicated website also ISBN 7 978-3-540-30697-9 In addition, a separate student guide has been offers further resources and useful links. prepared. List price 7 € 44,95 | £39.99 2nd ed. 2005. XVI, 352 p. 127 illus. (Springer 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 2nd ed. 1985. Corr. 4th printing 1998. XV, 345 p. Undergraduate Mathematics Series) Softcover 297 illus. (Undergraduate Texts in Mathematics) ISBN 7 978-1-85233-801-5 Sale price Softcover 7 € 22,95 | £20.99 ISBN 978-0-387-90975-2 List price 7 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 7 € 39,95 | £18.95 List price 7 * € (D) 42,75 | € (A) 43,95 | sFr 66,50 7 € 39,95 | £36.99 9 7 * € (D) 42,75 | € (A) 43,95 | sFr 63,50 Sale price 7 € 19,95 | £17.99 Sale price 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 7 € 19,95 | £17.99 J. Matousek, Charles University, Prague, Czech 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 9 Republic. 9 Using the Borsuk-Ulam Theorem Lectures on Topological Methods in T. P. Mathew Combinatorics and Geometry To the uninitiated, algebraic topology might J. Marsden, A. Weinstein, University of California, Domain Decomposition seem fiendishly complex, but its utility is Berkeley, CA, USA Methods for the Numerical beyond doubt. This brilliant exposition goes Calculus III Solution of Partial Differential back to basics to explain how the subject has been used to further our understanding in The third of a three-volume work, this book is Equations some key areas. the outgrowth of the authors' experience This book serves as a matrix oriented intro- teaching calculus at Berkeley. It covers duction to domain decomposition method- 1st ed. 2003. Corr. 2nd printing 2008. XII, 214 p. multivariable calculus and begins with the ology. Among the topics discussed are hybrid (Universitext) Softcover necessary material from analytical geometry. formulations, Schwarz, substructuring and ISBN 7 978-3-540-00362-5 It goes on to cover partial differention, the Lagrange multiplier methods for elliptic gradient and its applications, multiple inte- equations, computational issues, least squares- List price gration, and the theorems of Green, Gauss and control methods, multilevel methods, non-self 7 € 44,95 | £39.99 Stokes. The authors motivate the study of adjoint problems, parabolic equations, saddle 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 calculus using its applications. Features many point applications (Stokes, porous media and Sale price solved problems and extensive exercises. optimal control), and more. 7 € 26,95 | £24.99 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 2nd ed. 1985. Corr. 4th printing 1998. XV, 341 p. 2008. XIII, 764 p. 40 illus. (Lecture Notes in Compu- 431 illus. (Undergraduate Texts in Mathematics) tational Science and Engineering, Volume 61) Softcover Softcover 9 ISBN 7 978-0-387-90985-1 ISBN 7 978-3-540-77205-7 List price List price 7 € 39,95 | £36.99 7 € 89,95 | £81.00 7 * € (D) 42,75 | € (A) 43,95 | sFr 63,50 7 * € (D) 96,25 | € (A) 98,95 | sFr 140,00 Sale price Sale price 7 € 19,95 | £17.99 7 € 52,95 | £47.99 97 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 97 * € (D) 56,66 | € (A) 58,25 | sFr 82,50

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A. Meucci P. Morandi, New Mexico State University, Las D. Mumford, Brown University, Providence, RI, USA Risk and Asset Allocation Cruces, NM, USA The Red Book of Varieties and Field and Galois Theory A comprehensive treatment of all the steps of Schemes asset allocation, including market modeling, The book is written at the level of students who Includes the Michigan Lectures (1974) on Curves invariants estimation, portfolia evaluation, etc. have familiarity with the basic concepts of and their Jacobians Almost all results are proved explicitly in group, ring, vector space theory, including the Mumford's famous "Red Book" gives a simple, technical appendices that can be downloaded Sylow theorems, factorization in polynomial readable account of the basic objects of freely from the book’s web-site. Each chapter rings, and theorems about bases of vector algebraic geometry, preserving as much as ends with a set of exercises. Many of the spaces. It contains a large number of examples possible their geometric flavor and integrating exercises simulate – in Matlab – the solution to and exercises, a large number of topics covered, this with the tools of commutative algebra. It is practical problems and can be downloaded. and complete proofs given for the stated results aimed at graduates or mathematicians in other to help readers grasp field. fields wishing to quickly learn about algebraic 1st ed. 2005. Corr. 3rd printing 2007. XXVI, 532 p. geometry. This new edition includes an (Springer Finance) Hardcover 1996. XVI, 281 p. 18 illus. (Graduate Texts in appendix that gives an overview of the theory of ISBN 7 978-3-540-22213-2 Mathematics, Volume 167) Hardcover curves, their moduli spaces and their Jacobians ISBN 7 978-0-387-94753-2 List price – one of the most exciting fields within algebraic 7 € 69,95 | £55.99 List price geometry. 7 * € (D) 74,85 | € (A) 76,95 | sFr 116,50 7 € 59,95 | £53.99 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 2nd exp. ed. 1999. X, 310 p. (Lecture Notes in Sale price Mathematics, Volume 1358) Softcover 7 € 42,95 | £38.99 Sale price ISBN 7 978-3-540-63293-1 7 * € (D) 45,96 | € (A) 47,25 | sFr 67,00 7 € 32,95 | £29.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 List price 9 7 € 49,95 | £39.99 9 7 * € (D) 53,45 | € (A) 54,95 | sFr 83,00 Sale price Y. S. Mishura, Kyiv National Taras Shevchenko 7 € 24,95 | £22.99 University, Kyiv, Ukraine J. Morvan, Université Claude Bernard Lyon 1, 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 Stochastic Calculus for Villeurbanne, France 9 Fractional Brownian Motion and Generalized Curvatures Related Processes Following a historical and didactic approach, the book introduces the mathematical This volume examines the theory of fractional U. S. Murty, Queen's University, Kingston, ON, background of the subject, beginning with Brownian motion and other long-memory Canada curves and surfaces, going on with convex processes. Interesting topics for PhD students subsets, smooth submanifolds, subsets of Problems in Analytic Number and specialists in probability theory, stochastic positive reach, polyhedra and triangulations, analysis and financial mathematics demonstrate Theory and ending with surface reconstruction. We give the modern level of this field. It proves that the explicit computations when the object is a 2- or This informative and exhaustive study gives a market with stock guided by the mixed model 3-dimensional polyhedron. problem-solving approach to the difficult is arbitrage-free without any restriction on the subject of analytic number theory. It provides a dependence of the components and deduces 2008. XI, 266 p. 107 illus., 36 in color. Hardcover rapid introduction to analytic methods and the different forms of the Black-Scholes equation ISBN 7 978-3-540-73791-9 ways in which they are used to study the for fractional market. distribution of prime numbers. List price 2008. XVIII, 398 p. (Lecture Notes in Mathematics, 7 € 79,95 | £72.00 2nd ed. 2008. XXII, 506 p. (Graduate Texts in Math- Volume 1929) Softcover 7 * € (D) 85,55 | € (A) 87,95 | sFr 124,50 ematics / Readings in Mathematics, Volume 206) ISBN 7 978-3-540-75872-3 Sale price Hardcover List price 7 € 49,95 | £44.99 ISBN 7 978-0-387-72349-5 7 € 49,95 | £44.99 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 List price 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 € 54,95 | £49.99 Sale price 9 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 7 € 32,95 | £29.99 Sale price 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 € 32,95 | £29.99 9 97 * € (D) 35,26 | € (A) 36,25 | sFr 51,50

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M. B. Nathanson, City University of New York, J. Neukirch, A. Schmidt, Universität Regensburg, J. Nocedal, Northwestern University, Evanston, IL, Bronx, NY, USA Germany; K. Wingberg, Universität Heidelberg, USA; S. Wright, University of Wisconsin, WI, USA Additive Number Theory Germany Numerical Optimization Cohomology of Number Fields The Classical Bases The new edition of this book presents a This book aims to describe the classical This second edition is a corrected and extended comprehensive and up-to-date description of problems in additive number theory, and to version of the first. It is a textbook for students, the most effective methods in continuous introduce the circle method and the sieve as well as a reference book for the working optimization. It is enhanced by new chapters on method, which are the basic analytical and mathematician, on cohomological topics in nonlinear interior methods and derivative-free combinatorial tools to attack these problems. number theory. In all it is a virtually complete methods for optimization. It is intended for students who want to learn treatment of a vast array of central topics in additive number theory, not for experts who algebraic number theory. New material is 2nd ed. 2006. XXII, 664 p. 85 illus. (Springer Series already know it. The prerequisites for this book introduced here on duality theorems for un- in Operations Research and Financial Engineering) are undergraduate courses in number theory ramified and tamely ramified extensions as well Hardcover and real analysis. as a careful analysis of 2-extensions of real ISBN 7 978-0-387-30303-1 number fields. List price 1996. 364 p. (Graduate Texts in Mathematics, 7 € 62,95 | £49.99 2nd ed. 2008. XVI, 825 p. (Grundlehren der math- Volume 164) Hardcover 7 * € (D) 67,36 | € (A) 69,25 | sFr 104,50 ISBN 7 978-0-387-94656-6 ematischen Wissenschaften, Volume 323) Hardcover ISBN 7 978-3-540-37888-4 Sale price List price 7 € 36,95 | £33.99 List price 7 € 59,95 | £53.99 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 7 € 109,95 | £99.00 7 * € (D) 117,65 | € (A) 120,95 | sFr 171,00 Sale price 9 7 € 32,95 | £29.99 Sale price 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 € 66,95 | £60.99 7 * € (D) 71,64 | € (A) 73,65 | sFr 10,40 D. Nualart, University of Kansas, Lawrence, KS, USA 9 9 The Malliavin Calculus and Related Topics M. B. Nathanson, Lehmann College, Bronx, NY, USA The Malliavin calculus is an infinite-dimen- H. Neunzert, Kaiserslautern University, Institute Elementary Methods in Number sional differential calculus on a Gaussian space, of Mathematics, Germany; A. H. Siddiqi, Dept. of developed to provide a probabilistic proof to Theory Mathematical Sciences, King Fahd University of Hörmander's sum of squares theorem but has Petroleum and Minerals, Dhahran, Saudi Arabia, and This basic introduction to number theory is found a range of applications in stochastic Aligarh Muslim University, India ideal for those with no previous knowledge of analysis. This book presents the features of the subject. The main topics of divisibility, Topics in Industrial Mathematics Malliavin calculus and discusses its main applications. This second edition includes recent congruences, and the distribution of prime Case Studies and Related Mathematical Methods numbers are covered. Of particular interest is applications in finance and a chapter devoted to the inclusion of a proof for one of the most This book is devoted to some analytical and the stochastic calculus with respect to the famous results in mathematics, the prime numerical methods for analyzing industrial fractional Brownian motion. number theorem. With many examples and problems related to emerging technologies such exercises, and only requiring knowledge of a as digital image processing, materials sciences 2nd ed. 2006. XIV, 382 p. (Probability and its little calculus and algebra, this book will suit and financial derivatives affecting banking and Applications) Hardcover individuals with imagination and interest in financial institutions. Case studies are based on ISBN 7 978-3-540-28328-7 industrial projects. following a mathematical argument to its List price conclusion. 7 € 69,95 | £55.99 2000. 388 p. (Applied Optimization, Volume 42) 7 * € (D) 74,85 | € (A) 76,95 | sFr 116,50 2000. XVIII, 540 p. (Graduate Texts in Mathematics, Hardcover Volume 195) Hardcover ISBN 7 978-0-7923-6417-7 Sale price 7 € 42,95 | £38.99 ISBN 7 978-0-387-98912-9 List price 7 * € (D) 45,96 | € (A) 47,25 | sFr 67,00 List price 7 € 144,95 | £114.50 7 € 59,95 | £53.99 7 * € (D) 155,10 | € (A) 159,45 | sFr 241,00 9 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 Sale price Sale price 7 € 86,95 | £78.99 7 € 24,95 | £22.99 7 * € (D) 93,04 | € (A) 95,65 | sFr 13,50 97 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 9

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B. Øksendal, University of Oslo, Norway; A. Sulem, S. Osher, Unversity of California, Los Angeles, CA, G. K. Pedersen, Copenhagen University, INRIA Rocquencourt, Le Chesnay, France USA; R. Fedkiw, University of Stanford, CA, USA Copenhagen, Denmark Applied Stochastic Control of Level Set Methods and Dynamic Analysis Now Jump Diffusions Implicit Surfaces Graduate students in mathematics who want to Here is a rigorous introduction to solution This book promotes the use of level set methods travel light, will find this book invaluable; methods of stochastic control problems for by scientists and engineers working on moving impatient young researchers in other fields will jump diffusions. The 2nd edition adds a chapter interface problems. It clearly presents the enjoy it as an instant reference to the highlights on optimal control of stochastic partial essential mathematical and numerical of modern analysis. differential equations driven by Lévy processes, techniques. and a section on optimal stopping with delayed 1st ed. 1989. Corr. 2nd printing 1996. From the reviews 7 Contains many pictures, information. XIV, 277 p. (Graduate Texts in Mathematics, several of them in color, which give a good sample Volume 118) Hardcover of the results achieved. A stimulating book for 2nd ed. 2007. XIV, 262 p. 27 illus. (Universitext) ISBN 7 978-0-387-96788-2 those interested in modeling dynamic interfaces Softcover with numerical methods that can handle topology List price ISBN 7 978-3-540-69825-8 changes and singularities. 7 Mathematical 7 € 59,95 | £53.99 List price Reviews 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 7 € 39,95 | £31.99 Sale price 7 * € (D) 42,75 | € (A) 43,95 | sFr 66,50 2003. XIII, 273 p. 109 illus., 24 in color. (Applied 7 € 32,95 | £29.99 Mathematical Sciences, Volume 153) Hardcover Sale price 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 ISBN 7 978-0-387-95482-0 7 € 19,95 | £17.99 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 List price 9 7 € 66,95 | £59.99 9 7 * € (D) 71,64 | € (A) 73,65 | sFr 103,50 Sale price A. Pelsser, Erasmus University, Rotterdam, 7 € 39,95 | £35.99 The Netherlands M. C. Olsson, University of California, Berkeley, 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 Efficient Methods for Valuing CA, USA Interest Rate Derivatives Compactifying Moduli Spaces 9 This book provides an overview of the models for Abelian Varieties that can be used for valuing and managing interest rate derivatives. Split into two parts, the This volume presents the construction of G. Pavliotis, Imperial College London, UK; first discusses and compares the traditional canonical modular compactifications of moduli A. M. Stuart, University of Warwick, Coventry, UK spaces for polarized Abelian varieties (possibly models, such as spot- and forward-rate models, with level structure), building on the earlier Multiscale Methods while the second concentrates on the more recently developed Market models. Unlike most work of Alexeev, Nakamura, and Namikawa. Averaging and Homogenization of his competitors, the author's focus is not only This introduction to multiscale methods 2008. VIII, 286 p. 1 illus. (Lecture Notes in on the mathematics: Antoon Pelsser draws on explores both theory and applications. Examples Mathematics, Volume 1958) Softcover his experience in industry to explore a host of show how to apply multiscale methods to solve ISBN 7 978-3-540-70518-5 practical issues. a variety of problems. Exercises then enable List price readers to build their own skills and put them 2000. XII, 184 p. (Springer Finance) Hardcover 7 € 39,95 | £35.99 into practice. ISBN 7 978-1-85233-304-1 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 2008. XVIII, 310 p. (Texts in Applied Mathematics, List price Sale price Volume 53) Hardcover 7 € 76,95 | £56.00 7 € 26,95 | £24.99 ISBN 7 978-0-387-73828-4 7 * € (D) 82,34 | € (A) 84,65 | sFr 128,00 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 List price Sale price 9 7 € 39,95 | £35.99 7 € 46,95 | £42.99 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 7 * € (D) 50,24 | € (A) 51,65 | sFr 73,00 Sale price 9 7 € 26,95 | £24.99 97 * € (D) 28,84 | € (A) 29,65 | sFr 42,00

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L. Perko, Northern Arizona University, Flagstaff, P. Petersen, University of California, Los Angeles, B. Polster, Monash University, Clayton, VIC, Australia AZ, USA CA, USA The Mathematics of Juggling Differential Equations and Riemannian Geometry The author wants to help jugglers be systematic Dynamical Systems This comprehensive introduction to Rieman- about the way they acquire new skills and tricks. This textbook, ideal for students and lecturers nian Geometry offers a detailed and engaging He wants to demonstrate that mathematics can alike, is a systematic study of the qualitative and account of the topic, plus numerous exercises be a lot of fun. And he will make people who geometric theory of nonlinear differential and examples. It combines both the geometric appreciate the mathematics in this book to also equations and dynamical systems. It includes parts of Riemannian geometry and the analytic give the practical side of juggling a try. Anybody a thorough treatment of linear systems. aspects of the theory, and reviews the latest who is not put off by the word "mathematics" in research. the title of this book should have a good time 3rd ed. 2001. Corr. 3rd printing 2006. XIV, 553 p. reading it. 229 illus. (Texts in Applied Mathematics, Volume 7) 2nd ed. 2006. XVI, 408 p. 59 illus. (Graduate Texts in Hardcover Mathematics, Volume 171) Hardcover 2003. XVII, 226 p. 114 illus. Softcover ISBN 7 978-0-387-95116-4 ISBN 7 978-0-387-29246-5 ISBN 7 978-0-387-95513-1 List price List price List price 7 € 69,95 | £62.99 7 € 49,95 | £44.99 7 € 36,95 | £26.99 7 * € (D) 74,85 | € (A) 76,95 | sFr 109,00 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 Sale price Sale price Sale price 7 € 42,95 | £38.99 7 € 29,95 | £26.99 7 € 17,95 | £16.99 97 * € (D) 45,96 | € (A) 47,25 | sFr 67,00 97 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 97 * € (D) 19,21 | € (A) 19,75 | sFr 28,00

J. Peters, University of Florida, Gainesville, FL, USA; Y. Pochet, L. A. Wolsey, Université Catholique de V. V. Prasolov, Independent University of Moscow, U. Reif, TU Darmstadt, Germany Louvain, Belgium Russia Subdivision Surfaces Production Planning by Mixed Polynomials Integer Programming The focus of the book is on the development of Translated by D. Leites a comprehensive mathematical theory, and less This book provides an introduction to MIP This book provides an exposition of the main on algorithmic aspects. It is intended to serve modeling and to planning systems, a unique results in the theory of polynomials, both researchers and engineers – both new to the collection of reformulation results, and an easy classical and modern. Considerable attention is beauty of the subject – as well as experts, to use problem-solving library. This approach is given to Hilbert's 17th problem on the academic teachers and graduate students or, in demonstrated through a series of real life case representation of non-negative polynomials by short, anybody who is interested in the studies, exercises and detailed illustrations. the sums of squares of rational functions and its foundations of this flourishing branch of applied generalizations. Many of the modern results geometry. 2006. XX, 477 p. (Springer Series in Operations have only been published in journals so far. Research and Financial Engineering) Hardcover 2008. XVI, 204 p. 52 illus., 8 in color. (Geometry ISBN 7 978-0-387-29959-4 2004. XIII, 301 p. 8 illus. (Algorithms and Computa- and Computing, Volume 3) Hardcover tion in Mathematics, Volume 11) Hardcover List price ISBN 7 978-3-540-76405-2 ISBN 7 978-3-540-40714-0 7 € 49,95 | £43.99 List price 7 * € (D) 53,45 | € (A) 54,95 | sFr 75,00 List price 7 € 49,95 | £44.99 7 € 64,95 | £58.99 Sale price 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 * € (D) 69,50 | € (A) 71,45 | sFr 101,00 7 € 29,95 | £26.99 Sale price 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 Sale price 7 € 32,95 | £29.99 7 € 39,95 | £35.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 9 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 9 9

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C. Procesi, Università di Roma "La Sapienza", Italy P. E. Protter, Cornell University, Ithaca, NY, USA A. Quarteroni, Ecole Polytechnique Fédérale de Lie Groups Stochastic Integration and Lausanne, Switzerland; F. Saleri, MOX-Politecnico di Milano, Italy Differential Equations An Approach through Invariants and Scientific Computing with Representations Version 2.1 The author's masterful approach gives the MATLAB and Octave reader a comprehensive treatment of the From the reviews 7 As anyone who has taught or This introductory text uses Matlab and the classical Lie groups along with an extensive attended a course on Stochastic calculus knows, freeware Octave program for the computer introduction to a wide range of topics associated one of the most difficult aspects of the theme is solution of mathematical problems. The second with Lie groups: symmetric functions, theory of absence of exercises in the books on the topic. edition features new problems and examples, algebraic forms, Lie algebras, tensor algebra and The second edition of this book comes to the and additional numerical methods for linear symmetry, semisimple Lie algebras, algebraic rescue. Each chapter has exercises which should and nonlinear systems, and ordinary and partial groups, group representations, invariants, help instructors and students alike....This book differential equations. Hilbert theory, and binary forms with fields would serve as a good text for a course on ranging from pure algebra to functional stochastic calculus. At the same time, it is also a 2nd ed. 2006. XVI, 318 p. 108 illus., 97 in color. analysis. By covering sufficient background good reference book. 7 Sankhya: The Indian (Texts in Computational Science and Engineering, material, the book is made accessible to a reader Journal of Statistics Volume 2) Hardcover with a relatively modest mathematical ISBN 7 978-3-540-32612-0 background. 2nd ed. 2003. Corr. 3rd printing 2005. XIII, 419 p. (Stochastic Modelling and Applied Probability, List price 7 € 39,95 | £31.99 2007. XXIV, 600 p. 18 illus. (Universitext) Softcover Volume 21) Hardcover 7 * € (D) 42,75 | € (A) 43,95 | sFr 66,50 ISBN 7 978-0-387-26040-2 ISBN 7 978-3-540-00313-7 Sale price List price List price 7 € 22,95 | £20.99 7 € 49,95 | £43.99 7 € 69,95 | £55.99 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 7 * € (D) 53,45 | € (A) 54,95 | sFr 75,00 7 * € (D) 74,85 | € (A) 76,95 | sFr 116,50 Sale price Sale price 9 7 € 24,95 | £22.99 7 € 42,95 | £38.99 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 7 * € (D) 45,96 | € (A) 47,25 | sFr 67,00 9 9 L. Rade, B. Westergren, Chalmers University, Göteborg, Sweden Mathematics Handbook for M. H. Protter, C. B. Morrey A. Quarteroni, R. Sacco, Politecnico di Milano, Science and Engineering Milan, Italy; F. Saleri, Università di Milano, Milan, In this fifth edition of a successful handbook the A First Course in Real Analysis Italy chapter on Optimization has been enlarged and This book is designed for a first course in real Numerical Mathematics the chapters on Probability Theory and Statistics analysis following the standard course in have been carefully revised. It presents, in a The improved second edition of this book elementary calculus. The book contains a full lucid and accessible manner, classical areas such provides the mathematical foundations of treatment (with many illustrative samples and as algebra, geometry and analysis, current numerical methods. It demonstrates their exercises) of the standard topics in infinite research areas such as discrete mathematics, performance on examples, exercises and metric spaces, and vector field theory. This new optimization, computer science and numerical real-life applications using the MATLAB edition includes an assortment of new exercises analysis. It includes definitions, results, software environment. and provides answers for the odd-numbered formulas, graphs, and tables, while emphasizing problems. concepts and methods with applications in tech- 2nd ed. 2007. XVIII, 657 p. 135 illus. (Texts in nology and science. 2nd ed. 1991. Corr. 4th printing 1997. XVIII; 534 p. Applied Mathematics, Volume 37) Hardcover ISBN 7 978-3-540-34658-6 143 illus. (Undergraduate Texts in Mathematics) 5th ed. 2004. 562 p. 150 illus. Hardcover Hardcover List price ISBN 7 978-3-540-21141-9 ISBN 978-0-387-97437-8 7 7 € 64,95 | £58.99 List price 7 * € (D) 69,50 | € (A) 71,45 | sFr 101,00 List price 7 € 49,95 | £39.99 7 € 54,95 | £49.99 Sale price 7 * € (D) 53,45 | € (A) 54,95 | sFr 83,00 * € (D) 58,80 | € (A) 60,45 | sFr 86,50 7 7 € 39,95 | £35.99 Sale price 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 Sale price 7 € 29,95 | £26.99 7 € 29,95 | £26.99 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 9 9 9

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J. Ratcliffe, Vanderbilt University, Nashville, TN, USA S. I. Resnick, Cornell University, Ithaca, NY, USA D. Revuz, Université Paris VII, Paris, France; M. Yor, Foundations of Hyperbolic Extreme Values, Regular Université Pierre et Marie Curie, Paris, France Manifolds Variation, and Point Processes Continuous Martingales and Brownian Motion This book is an exposition of the theoretical This book is a readable and efficient account of foundations of hyperbolic manifolds. It is the fundamental mathematical and stochastic From the reviews 7 This is a magnificent book! Its intended to be used both as a textbook and process techniques needed to study the behavior purpose is to describe in considerable detail a as a reference. This book has been heavily of extreme values of phenomena based on variety of techniques used by probabilists in the class-tested and each chapter contains exercises independent and identically distributed random investigation of problems concerning Brownian and a section of historical remarks. variables and vectors. motion....This is THE book for a capable graduate student starting out on research in probability: 2nd ed. 2006. XII, 783 p. 170 illus. (Graduate Texts 1st ed. 1987. 2nd printing 2008. XIV, 320 p. the effect of working through it is as if the authors in Mathematics, Volume 149) Hardcover (Springer Series in Operations Research and are sitting beside one, enthusiastically explaining ISBN 7 978-0-387-33197-3 Financial Engineering) Softcover the theory, presenting further developments as ISBN 7 978-0-387-75952-4 List price exercises... 7 Bulletin of the L.M.S. 7 € 54,95 | £49.99 List price 7 * € (D) 58,80 | € (A) 60,45 | sFr 86,50 7 € 39,95 | £35.99 3rd ed. 1999. Corr. 3rd printing 2005. XI, 606 p. 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 8 illus. (Grundlehren der mathematischen Sale price Wissenschaften, Volume 293) Hardcover 7 € 32,95 | £29.99 Sale price ISBN 7 978-3-540-64325-8 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 € 26,95 | £24.99 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 List price 9 7 € 99,95 | £79.00 9 7 * € (D) 106,95 | € (A) 109,95 | sFr 166,00 Sale price J. Rauch, University of Michigan, Ann Arbor, MI, USA 7 € 59,95 | £53.99 Partial Differential Equations S. I. Resnick, Cornell University, Ithaca, NY, USA 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 Heavy-Tail Phenomena Topics discussed in the text include elliptic, 9 hyperbolic, and parabolic equations, the energy Probabilistic and Statistical Modeling method, maximum principle, and the Fourier This text gives an interesting and useful blend of Transform. The text features many historical the mathematical, probabilistic and statistical D. J. Robinson, University of Illinois, Urbana, IL, USA and scientific motivations and applications. tools used in heavy-tail analysis. It is uniquely Included throughout are exercises, hints, and devoted to heavy-tails and emphasizes both A Course in the Theory of discussions which form an important and probability modeling and statistical methods Groups integral part of the course. for fitting models. From the reviews 7 An excellent up-to-date 1st ed. 1991. Corr. 2nd printing 1997. X, 263 p. 2007. XIX, 406 p. 46 illus. (Springer Series in introduction to the theory of groups. It is general 42 illus. (Graduate Texts in Mathematics, Operations Research and Financial Engineering) yet comprehensive, covering various branches of Volume 128) Hardcover Hardcover group theory. The 15 chapters contain the ISBN 7 978-0-387-97472-9 ISBN 7 978-0-387-24272-9 following main topics: free groups and presen- tations, free products, decompositions, Abelian List price List price groups, finite permutation groups, representations 7 € 59,95 | £53.99 7 € 46,95 | £37.99 of groups, finite and infinite soluble groups, group 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 7 * € (D) 50,24 | € (A) 51,65 | sFr 78,00 extensions, generalizations of nilpotent and Sale price Sale price soluble groups, finiteness properties... 7 € 32,95 | £29.99 7 € 26,95 | £24.99 7 Acta Scientiarum Mathematicarum 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 2nd ed. 1996. XVIII, 524 p. 40 illus. (Graduate Texts 9 9 in Mathematics, Volume 80) Hardcover ISBN 7 978-0-387-94461-6 List price 7 € 66,95 | £59.99 7 * € (D) 71,64 | € (A) 73,65 | sFr 104,00 Sale price 7 € 36,95 | £33.99 97 * € (D) 39,54 | € (A) 40,65 | sFr 57,50

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H. Roos, Technical University Dresden, Germany; C. C. Ross, University of the South, Sewanee, TN, J. J. Rotman, University of Illinois at Urbana- M. Stynes, University College Cork, Ireland; USA Champaign, Urbana, IL, USA L. Tobiska, Otto-von-Guericke Universität Magde- Differential Equations An Introduction to the Theory burg, Germany of Groups Robust Numerical Methods An Introduction with Mathematica® for Singularly Perturbed This introductory differential equations book Anyone who has studied abstract algebra and presents a convenient way for professors to linear algebra as an undergraduate can Differential Equations integrate symbolic computing into the study understand this book. The first six chapters Convection-Diffusion-Reaction and Flow of differential equations and linear algebra. provide material for a first course, while the rest Problems In Differential Equations, all ideas are explored of the book covers more advanced topics. This utilizing Mathematica, and though the revised edition retains the clarity of presentation This new edition incorporates new develop- computer eases the computational burden, the that was the hallmark of the previous editions. ments in numerical methods for singularly student is encouraged to think about what the perturbed differential equations, focusing on From the reviews 7 Rotman has given us a very computations reveal, how they are consistent linear convection-diffusion equations and on readable and valuable text, and has shown us with the mathematics, what any conclusions nonlinear flow problems that appear in many beautiful vistas along his chosen route mean, and how they may be applied. computational fluid dynamics. 7 Mathematical Reviews 2nd ed. 2004. XIII, 431 p. 88 illus. (Undergraduate 2nd ed. 2008. XIV, 604 p. 41 illus. (Springer Series in 4th ed. 1995. Corr. 2nd printing 1999. XV, 540 p. Texts in Mathematics) Hardcover Computational Mathematics, Volume 24) Hardcover 37 illus., 4 in color. (Graduate Texts in Mathematics, ISBN 7 978-0-387-21284-5 ISBN 7 978-3-540-34466-7 Volume 148) Hardcover List price ISBN 7 978-0-387-94285-8 List price 7 € 59,95 | £49.99 7 € 89,95 | £81.00 List price 7 * € (D) 64,15 | € (A) 65,95 | sFr 86,50 7 * € (D) 96,25 | € (A) 98,95 | sFr 140,00 7 € 59,95 | £53.99 Sale price 7 * € (D) 64,15 | € (A) 65,95 | sFr 92,00 Sale price 7 € 34,95 | £31.99 7 € 52,95 | £47.99 Sale price 7 * € (D) 37,40 | € (A) 38,45 | sFr 54,50 7 * € (D) 56,66 | € (A) 58,25 | sFr 82,50 7 € 32,95 | £29.99 9 9 97 * € (D) 35,26 | € (A) 36,25 | sFr 51,50

K. A. Ross, University of Oregon, Eugene, OR, USA B. A. Rosenfeld A History of Non-Euclidean Elementary Analysis C. Sabbah, École Polytechnique, Palaiseau, France Geometry The Theory of Calculus Isomonodromic Deformations Designed for students having no previous Evolution of the Concept of a Geometric Space and Frobenius Manifolds experience with rigorous proofs, this text can be An Introduction Chapters 1 through 5 are devoted to the evo- used immediately following standard calculus lution of the concept of space, leading up to courses. It is highly recommended for anyone This accessible book provides an introduction to chapter six, which describes the discovery of planning to study advanced analysis, e.g., algebraic geometric methods in the theory of noneuclidean geometry and the corresponding complex variables, differential equations, complex linear differential equations. Starting broadening of the concept of space. The author Fourier analysis, numerical analysis, several from basic notions in complex algebraic discusses concepts such as multidimensional variable calculus, and statistics. It is also geometry, it develops some of the classical spaces and curvature, and transformation recommended for future secondary school problems of linear differential equations. groups. The book ends with a chapter describing teachers. the applications of nonassociative algebras to 2008. XIV, 279 p. 10 illus. (Universitext) Softcover geometry. 1st ed. 1980. Corr. 14th printing 2003. X, 351 p. ISBN 7 978-1-84800-053-7 34 illus. (Undergraduate Texts in Mathematics) List price Hardcover 1988. XI, 488 p. 114 illus. (Studies in the History 7 € 46,95 | £30.50 ISBN 978-0-387-90459-7 of Mathematics and Physical Sciences, Volume 12) 7 7 * € (D) 50,24 | € (A) 51,65 | sFr 73,00 Hardcover List price ISBN 7 978-0-387-96458-4 Sale price € 39,95 | £34.99 7 7 € 29,95 | £26.99 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 List price 7 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 7 € 104,95 | £94.50 Sale price 7 * € (D) 112,30 | € (A) 115,45 | sFr 163,00 7 € 22,95 | £20.99 9 Sale price 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 7 € 56,95 | £51.99 7 * € (D) 60,94 | € (A) 62,65 | sFr 88,50 9 9

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B. E. Sagan, Michigan State University, East Lansing, A. Sarychev, University of Florence, Italy; W. H. Schilders, NXP Semiconductors, Eindhoven, MI, USA A. Shiryaev, Russian Academy of Sciences, Moscow, The Netherlands; H. A. Vorst, Utrecht University, The Symmetric Group Russia; M. Guerra, M. R. Grossinho, ISEG-TU Lisbon, The Netherlands; J. Rommes, NXP Semiconductors, Portugal (Eds.) Eindhoven, The Netherlands (Eds.) Representations, Combinatorial Algorithms, and Symmetric Functions Mathematical Control Theory Model Order Reduction: and Finance Theory, Research Aspects and From the reviews 7 A classic gets even better.... This book highlights recent developments in Applications The edition has new material including the mathematical control theory and its applications Novelli-Pak-Stoyanovskii bijective proof of the The goal of this book is to describe the basics of to finance. It presents a collection of original hook formula, Stanley’s proof of the sum of model order reduction and related aspects. This contributions by distinguished scholars, squares formula using differential posets, Fomin’s is a high-quality book on industrial math- addressing a large spectrum of problems and bijective proof of the sum of squares formula, ematics by one of the major research consortia techniques. group acting on posets and their use in proving in this field. unimodality, and chromatic symmetric functions. 2008. XIV, 420 p. 41 illus. Hardcover 7 Zentralblatt MATH 2008. XII, 472 p. 133 illus., 53 in color. (Mathematics ISBN 7 978-3-540-69531-8 in Industry / The European Consortium for Math- 2nd ed. 2001. XV, 238 p. 31 illus. (Graduate Texts List price ematics in Industry, Volume 13) Hardcover in Mathematics, Volume 203) Hardcover 7 € 109,95 | £99.00 ISBN 7 978-3-540-78840-9 ISBN 7 978-0-387-95067-9 7 * € (D) 117,65 | € (A) 120,95 | sFr 171,00 List price List price Sale price 7 € 89,95 | £81.00 7 € 44,95 | £39.99 7 € 66,95 | £60.99 7 * € (D) 96,25 | € (A) 98,95 | sFr 140,00 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 7 * € (D) 71,64 | € (A) 73,65 | sFr 10,40 Sale price Sale price 7 € 52,95 | £47.99 7 € 24,95 | £22.99 9 7 * € (D) 56,66 | € (A) 58,25 | sFr 82,50 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 9 9 M. du Sautoy, L. Woodward, University of Oxford, UK Zeta Functions of Groups and H. Schmidli, University of Cologne, Germany K. Sarma, K. Ramasubramanian, M. Srinivas, Rings Stochastic Control in Insurance M. S. Sriram Zeta functions have been a powerful tool in Until now, solved examples of the application of Ganita-Yukti-Bhasa (Rationales mathematics over the last two centuries. This stochastic control to actuarial problems could in Mathematical Astronomy) of book considers a new class of non-commutative only be found in journals. Not any more: this is Jyesthadeva zeta functions which encode the structure of the the first book to systematically present these subgroup lattice in infinite groups. It explores methods in one volume. Volume I: Mathematics the analytic behavior of these functions together Volume II: Astronomy with an investigation of functional equations. 2008. XVI, 258 p. (Probability and its Applications) Ganita-yukti-bhasa (Rationales in Mathematical The book examines many important examples Softcover Astronomy) of Jyesthadeva (c.1530) is a seminal of zeta functions, providing an important ISBN 7 978-1-84800-002-5 database of explicit examples and methods for text of the Kerala school of astronomy. Here is a List price calculation. critical edition of the entire Malayalam text 7 € 62,95 | £45.00 along with an English translation and detailed 7 * € (D) 67,36 | € (A) 69,25 | sFr 98,00 explanatory notes. 2008. XII, 212 p. (Lecture Notes in Mathematics, Volume 1925) Softcover Sale price 2008. LXVIII, 1084 p. (In 2 volumes, not available ISBN 7 978-3-540-74701-7 7 € 39,95 | £35.99 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 separately) (Sources and Studies in the History of List price Mathematics and Physical Sciences) Hardcover 7 € 39,95 | £35.99 ISBN 7 978-1-84882-072-2 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 9 List price Sale price 7 € 134,95 | £121.50 7 € 26,95 | £24.99 7 * € (D) 144,40 | € (A) 148,45 | sFr 209,50 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 Sale price 7 € 79,95 | £71.99 9 97 * € (D) 85,55 | € (A) 87,95 | sFr 124,50

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A. Schrijver, CWI, Amsterdam, The Netherlands J. Serre, Collège de France, Paris, France I. R. Shafarevich, Steklov Mathematical Institute, Combinatorial Optimization A Course in Arithmetic Moscow, Russia Basic Algebraic Geometry 1 Polyhedra and Efficiency Here is a modern introduction to basically three areas of number theory, quadratic forms, Varieties in Projective Space From the reviews 7 About 30 years ago, when I Dirichlet's density theorem, and modular forms. Translated from the Russian by M. Reid was a student, the first book on combinatorial optimization came out referred to as "the Lawler" From the reviews 7 The book is carefully written This book is a revised and expanded new simply. I think that now, with this volume – in particular very much self-contained...it is edition of the first four chapters of Shafarevich’s Springer has landed a coup: "The Schrijver". The easily accessible to graduate or even undergradu- well-known introductory book on algebraic box is offered for less than 90.- EURO, which to ate students, yet even the advanced mathemat- geometry. Besides correcting misprints and my opinion is one of the best deals after the ician will enjoy reading it. The last chapter, more inaccuracies, the author has added plenty of introduction of this currency. 7 OR-Spectrum difficult for the beginner, is an introduction to new material, mostly concrete geometrical contemporary problems. material such as Grassmannian varieties, plane 2003. CVI, 1882 p. (In 3 volumes, not available 7 American Scientist cubic curves, the cubic surface, degenerations of separately) Hardcover quadrics and elliptic curves, the Bertini ISBN 7 978-3-540-44389-6 1st ed. 1973. Corr. 5th printing 1996. IX, 115 p. theorems, and normal surface singularities. 3 illus. (Graduate Texts in Mathematics, Volume 7) List price Hardcover 2nd rev. and exp. ed. 1994. XX, 304 p. Softcover 7 € 84,95 | £76.50 ISBN 7 978-0-387-90040-7 ISBN 7 978-3-540-54812-6 7 * € (D) 90,90 | € (A) 93,45 | sFr 132,00 List price List price Sale price 7 € 49,95 | £43.99 7 € 54,95 | £43.99 7 € 49,95 | £44.99 7 * € (D) 53,45 | € (A) 54,95 | sFr 75,00 7 * € (D) 58,80 | € (A) 60,45 | sFr 91,50 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 Sale price Sale price 9 7 € 29,95 | £26.99 7 € 26,95 | £24.99 97 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 97 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 W. Schwarz, Universität Potsdam, Germany 40 Puzzles and Problems in Probability and Mathematical J. Serre, College of France, Paris, France I. R. Shafarevich Statistics Local Fields Basic Algebraic Geometry 2 Many puzzles and problems presented here are Translated from the French by M. J. Greenberg Schemes and Complex Manifolds either new within a problem solving context or 7 Group cohomology, with emphasis on Translated from the Russian by M. Reid are variations of classical problems which follow arithmetical applications: theorems of Tate and directly from elementary concepts. A small The second volume of Shafarevich's introduc- Nakayama, Galois cohomology, class formations number of particularly instructive problems is tory book on algebraic geometry focuses on 7 Local class field theory, presented from the taken from previous sources. schemes, complex algebraic varieties and cohomological point of view. The main result is complex manifolds. As with first volume the the determination of the topological Galois 2008. XII, 124 p. 29 illus. (Problem Books in author has revised the text and added new group of the maximal abelian extension Mathematics) Hardcover material. Although the material is more ISBN 7 978-0-387-73511-5 advanced than in Volume 1 the algebraic 1st ed. 1979. Corr. 2nd printing 1995. VIII, 241 p. apparatus is kept to a minimum making the List price 1 illus. (Graduate Texts in Mathematics, Volume 67) book accessible to non-specialists. It can be read 7 € 39,95 | £34.99 Hardcover independently of the first volume and is suitable 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 ISBN 7 978-0-387-90424-5 for beginning graduate students. Sale price List price 2nd, rev. and exp. ed. 1st printing 1996. XV, 269 p. 7 € 26,95 | £24.99 7 € 56,95 | £49.99 Softcover 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 7 * € (D) 60,94 | € (A) 62,65 | sFr 86,50 ISBN 7 978-3-540-57554-2 Sale price 9 7 € 32,95 | £29.99 List price 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 € 54,95 | £49.99 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 9 Sale price 7 € 26,95 | £24.99 97 * € (D) 28,84 | € (A) 29,65 | sFr 42,00

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R. Shakarchi, Princeton University, Princeton, NJ, R. Sharpe, University of Toronto, ON, Canada S. E. Shreve, Carnegie Mellon University, Pittsburgh, USA Differential Geometry PA, USA Problems and Solutions for Cartan's Generalization of Klein's Erlangen Stochastic Calculus for Finance I Complex Analysis Program The Binomial Asset Pricing Model This book is an independent source of problems Cartan geometries were the first examples of This book grew out of a two-semester course with detailed answers beneficial for anyone connections on a principal bundle. They seem sequence in the Master's program in Computa- interested in learning complex analysis. The to be almost unknown these days, in spite of the tional Finance at Carnegie Mellon. The contents problems cover such topics as: power series, great beauty and conceptual power they confer of the book have been used successfully with Cauchys theorem, Laurent series, singularities on geometry. The aim of the present book is to students whose mathematics background and meromorphic functions, the calculus of fill the gap in the literature on differential consists of calculus and calculus-based residues, conformal mappings, and Jensens geometry by the missing notion of Cartan probability. The author does not assume formula. All the exercises from this volume connections. familiarity with advanced mathematical were derived from Serge Lang’s fourth edition concepts from measure-theoretic probability, of Complex Analysis and can also serve as a 1st ed. 1997. Corr. 2nd printing 2000. XIX, 421 p. but rather develops the necessary tools from companion guide to it. 104 illus. (Graduate Texts in Mathematics, this subject informally within the text. Volume 166) Hardcover 1999. XI, 246 p. 35 illus. Softcover ISBN 7 978-0-387-94732-7 2004. XV, 208 p. 33 illus. (Springer Finance) ISBN 7 978-0-387-98831-3 Hardcover List price ISBN 7 978-0-387-40100-3 List price 7 € 59,95 | £53.99 7 € 44,95 | £39.99 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 List price 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 7 € 39,95 | £36.99 Sale price 7 * € (D) 42,75 | € (A) 43,95 | sFr 63,50 Sale price 7 € 34,95 | £31.99 7 € 22,95 | £20.99 7 * € (D) 37,40 | € (A) 38,45 | sFr 54,50 Sale price 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 7 € 22,95 | £20.99 9 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 9 9 G. Shimura, Princeton University, Princeton , NJ, Y. Shapira, Technion – Israel Institute of Technology, USA Haifa, Israel Elementary Dirichlet Series and S. E. Shreve, Carnegie Mellon University, Pittsburgh, PA, USA Matrix-Based Multigrid Modular Forms Stochastic Calculus for Finance II Theory and Applications This book treats its two subjects, Dirichlet series This book introduces the multigrid approach and modular forms, in both orthodox and Continuous-Time Models for the numerical solution of large sparse linear unorthodox ways. Regardless of the unorthodox From the reviews 7 A wonderful display of the systems arising from the discretization of treatment, the author has made the book use of mathematical probability to derive a large elliptic partial differential equations. This new accessible to those who are not familiar with set of results from a small set of assumptions. In edition offers improved content and more ex- such topics. summary, this is a well-written text that treats planation for the non-expert. the key classical models of finance through an 2007. VIII, 152 p. (Springer Monographs in applied probability approach....It should serve as 2nd ed. 2008. XXIII, 318 p. 75 illus. (Numerical Mathematics) Hardcover an excellent introduction for anyone studying the Methods and Algorithms, Volume 2) Hardcover ISBN 7 978-0-387-72473-7 mathematics of the classical theory of finance. ISBN 7 978-0-387-49764-8 List price 7 SIAM List price 7 € 46,95 | £42.99 7 € 54,95 | £49.99 7 * € (D) 50,24 | € (A) 51,65 | sFr 73,00 1st ed. 2004. Corr. 2nd printing 2004. XIX, 550 p. 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 28 illus. (Springer Finance) Hardcover Sale price ISBN 7 978-0-387-40101-0 Sale price 7 € 26,95 | £24.99 7 € 32,95 | £29.99 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 List price 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 € 54,95 | £49.99 9 7 * € (D) 58,80 | € (A) 60,45 | sFr 86,50 9 Sale price 7 € 32,95 | £29.99 97 * € (D) 35,26 | € (A) 36,25 | sFr 51,50

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K. Siddiqi, McGill University, Montreal, QC, Canada; J. H. Silverman, J. Tate, D. Simchi-Levi, Massachusetts Institute of Tech- S. Pizer, University of North Carolina, Chapel Hill, Rational Points on Elliptic nology; X. Chen, University of Illinois, Urbana, IL, NC, USA (Eds.) USA; J. Bramel, CDC-IXIS Financial Guaranty Curves Medial Representations The Logic of Logistics The theory of elliptic curves involves a blend of Mathematics, Algorithms and Applications algebra, geometry, analysis, and number theory. Theory, Algorithms, and Applications for Logistics Offering a consolidated account on medial This book stresses this interplay as it develops and Supply Chain Management representations, this book will serve the science the basic theory, providing an opportunity Fierce competition in today's global market and engineering communities using medial for readers to appreciate the unity of modern provides a powerful motivation for developing models and will provide learning material for mathematics. The book’s accessibility, the ever more sophisticated logistics systems. This students entering this field. informal writing style, and a wealth of exercises book, written for the logistics manager and make it an ideal introduction for those researcher, presents a timely and authoritative 2008. XVII, 439 p. 204 illus., 84 in color. (Computa- interested in learning about Diophantine survey of the modern theory and application of tional Imaging and Vision, Volume 37) Hardcover equations and arithmetic geometry. logistics, including case studies in which ISBN 7 978-1-4020-8657-1 decision support tools for large-scale logistics 1st ed. 1992. Corr. 2nd printing 1994. X, 281 p. applications are developed. List price 34 illus. (Undergraduate Texts in Mathematics) 7 € 74,95 | £67.99 Hardcover 2nd ed. 2005. XX, 355 p. 38 illus. (Springer Series 7 * € (D) 80,20 | € (A) 82,45 | sFr 116,50 ISBN 7 978-0-387-97825-3 in Operations Research and Financial Engineering) Sale price Hardcover List price 7 € 44,95 | £40.99 ISBN 7 978-0-387-22199-1 7 € 36,95 | £33.99 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 List price 7 € 59,95 | £53.99 Sale price 9 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 7 € 19,95 | £17.99 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 Sale price 7 € 34,95 | £31.99 J. H. Silverman, Brown University, Providence, RI, 7 * € (D) 37,40 | € (A) 38,45 | sFr 54,50 USA 9 Advanced Topics in the 9 Arithmetic of Elliptic Curves J. H. Silverman This book continues the treatment of the The Arithmetic of Dynamical arithmetic theory of elliptic curves begun in the S. Simons, University of California, Santa Barbara, first volume. Numerous exercises have been Systems CA, USA included at the end of each chapter. A list of This book provides an introduction to the From Hahn-Banach to comments and citations for the exercises will be relatively new discipline of arithmetic dynamics. Monotonicity found at the end of the book. Whereas classical discrete dynamics is the study of iteration of self-maps of the complex plane or In this new edition of LNM 1693 the essential From the reviews 7 This book deserves to be as real line, arithmetic dynamics is the study of the idea is to reduce questions on monotone popular as its forerunner and a great many number theoretic properties of points under multifunctions to questions on convex people will be looking forward to reading a third repeated application of a polynomial or rational functions. However, rather than using a "big volume. 7 Monatshefte für Mathematik function. This graduate-level text provides an convexification" of the graph of the multifunc- entry for students into an active field of research tion and the "minimax technique" for proving 1st ed. 1994. Corr. 2nd printing 1999. XIII, 548 p. and serves as a standard reference for the existence of linear functionals satisfying 16 illus. (Graduate Texts in Mathematics, researchers. certain conditions, the Fitzpatrick function is Volume 151) Softcover used. ISBN 7 978-0-387-94328-2 2007. XVI, 511 p. 11 illus. (Graduate Texts in List price Mathematics, Volume 241) Hardcover 2nd, exp. ed. 2008. XIV, 248 p. (Lecture Notes 7 € 44,95 | £39.99 ISBN 7 978-0-387-69903-5 in Mathematics, Volume 1693 ) Softcover 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 ISBN 7 978-1-4020-6918-5 List price Sale price 7 € 39,95 | £31.99 List price 7 € 22,95 | £20.99 7 * € (D) 42,75 | € (A) 43,95 | sFr 66,50 7 € 39,95 | £35.99 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 Sale price 7 € 22,95 | £20.99 Sale price 9 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 7 € 26,95 | £24.99 9 97 * € (D) 28,84 | € (A) 29,65 | sFr 42,00

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K. E. Smith, L. Kahanpää, P. Kekäläinen, W. Traves J. A. Snyman, University of Pretoria, South Africa J. Stillwell, University of San Francisco, CA, USA An Invitation to Algebraic Practical Mathematical The Four Pillars of Geometry Geometry Optimization This textbook demonstrates that geometry can This is a description of the underlying principles An Introduction to Basic Optimization Theory and be developed in four fundamentally different of algebraic geometry, some of its important Classical and New Gradient-Based Algorithms ways, and that all should be used if the subject is to be shown in all its splendor. The Four Pillars developments in the twentieth century, and This book presents basic optimization principles of Geometry contains more than 100 figures, some of the problems that occupy its practitio- and gradient-based algorithms to a general and a large selection of exercises in each chapter. ners today. It is intended for the working or the audience, in a brief and easy-to-read form. It aspiring mathematician who is unfamiliar with enables professionals to apply optimization From the reviews 7 Gives a brief introduction to algebraic geometry but wishes to gain an theory to engineering, physics, chemistry, or many sides of geometry and includes many appreciation of its foundations and its goals business economics. beautiful results, each explained from a with a minimum of prerequisites. Few algebraic perspective that makes it easy to understand. prerequisites are presumed beyond a basic 1st ed. 2005. Corr. 2nd printing 2005. XX, 257 p. 7 SIAM Review course in linear algebra. (Applied Optimization, Volume 97) Softcover ISBN 7 978-0-387-29824-5 2005. XII, 229 p. 138 illus. (Undergraduate Texts 1st ed. 2000. Corr. 2nd printing 2004. XVI, 161 p. in Mathematics) Hardcover List price 44 illus. (Universitext) Hardcover ISBN 7 978-0-387-25530-9 ISBN 7 978-0-387-98980-8 7 € 66,95 | £59.99 7 * € (D) 71,64 | € (A) 73,65 | sFr 103,50 List price List price 7 € 39,95 | £34.99 Sale price 7 € 44,95 | £39.99 7 * € (D) 42,75 | € (A) 43,95 | sFr 63,50 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 7 € 34,95 | £31.99 7 * € (D) 37,40 | € (A) 38,45 | sFr 54,50 Sale price Sale price 7 € 22,95 | £20.99 7 € 24,95 | £22.99 9 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 97 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 9 J. M. Steele, University of Pennsylvania, Philadelphia, PA, USA B. Straughan, Durham University, UK J. Smoller, University of Michigan, Ann Arbor, MI, Stochastic Calculus and USA Financial Applications Stability and Wave Motion in Porous Media Shock Waves and Reaction- Stochastic calculus has important applications Diffusion Equations to mathematical finance. This book will appeal This book presents an account of theories of to practitioners and students who want an flow in porous media which have proved The purpose of this book is to make easily elementary introduction to these areas. tractable to analysis and computation. available the basics of the theory of hyperbolic In particular, the theories of Darcy, Brinkman, From the reviews 7 As the preface says, ‘This is a conservation laws and the theory of systems and Forchheimer are presented and analysed in text with an attitude, and it is designed to reflect, of reaction-diffusion equations, including the detail. generalized Morse theory as developed by wherever possible and appropriate, a prejudice for the concrete over the abstract’. This is also Charles Conley. It presents the modern ideas in 2008. XIV, 439 p. (Applied Mathematical Sciences, reflected in the style of writing which is unusually these fields in a way that is accessible to a wider Volume 165) Hardcover lively for a mathematics book. 7 Zentralblatt MATH audience than just mathematicians. ISBN 7 978-0-387-76541-9

2nd ed. 1994. XIII, 660 p. 165 illus. (Grundlehren 1st ed. 2001. Corr. 3rd printing 2003. IX, 300 p. List price der mathematischen Wissenschaften, Volume 258) 3 illus. (Stochastic Modelling and Applied 7 € 54,95 | £49.99 Hardcover Probability, Volume 45) Hardcover 7 * € (D) 58,80 | € (A) 60,45 | sFr 85,50 ISBN 7 978-0-387-95016-7 ISBN 7 978-0-387-94259-9 Sale price List price List price 7 € 32,95 | £29.99 7 € 94,95 | £85.50 7 € 74,95 | £66.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 * € (D) 101,60 | € (A) 104,45 | sFr 147,50 7 * € (D) 80,20 | € (A) 82,45 | sFr 114,00 Sale price 9 Sale price 7 € 52,95 | £47.99 7 € 44,95 | £40.99 97 * € (D) 56,66 | € (A) 58,25 | sFr 82,50 97 * € (D) 48,10 | € (A) 49,45 | sFr 70,00

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M. Struwe, ETH Zürich, Switzerland M. Takesaki, University of California, Los Angeles, L. Tartar, Carnegie Mellon University, Pittsburgh, Variational Methods CA, USA PA, USA Applications to Nonlinear Partial Differential Theory of Operator Algebras I An Introduction to Sobolev Equations and Hamiltonian Systems Since its inception by von Neumann 70 years Spaces and Interpolation Spaces This, the fourth edition of Stuwe’s book on the ago, the theory of operator algebras has become After publishing an introduction to the calculus of variations, surveys new develop- a rapidly developing area of importance for the Navier–Stokes equation and oceanography ments in this exciting field. It also gives a understanding of many areas of mathematics (Volume 1 of this series), Luc Tartar follows concise introduction to variational methods. In and theoretical physics. Accessible to the with another set of lecture notes based on a particular it includes the proof for the conver- non-specialist, this first part of a three-volume graduate course in two parts, as indicated by the gence of the Yamabe flow and a detailed treatise provides a clear, carefully written survey title. A draft has been available on the internet treatment of the phenomenon of blow-up. that emphasizes the theory's analytical and for a few years. The author has now revised and Recently discovered results for backward topological aspects. polished it into a text accessible to a larger bubbling in the heat flow for harmonic maps or audience. surfaces are discussed. A number of changes 1st ed. 1979. 2nd printing 2002. XIX, 415 p. have been made throughout the text. (Encyclopaedia of Mathematical Sciences, 2007. XXVI, 220 p. (Lecture Notes of the Unione Volume 124) Hardcover Matematica Italiana, Volume 3) Softcover 4th ed. 2008. XX, 302 p. (Ergebnisse der Math- ISBN 7 978-3-540-42248-8 ISBN 7 978-3-540-71482-8 ematik und ihrer Grenzgebiete. 3. Folge / A Series List price List price of Modern Surveys in Mathematics, Volume 34) 7 € 104,95 | £94.50 7 € 39,95 | £31.99 Hardcover 7 * € (D) 112,30 | € (A) 115,45 | sFr 163,00 7 * € (D) 42,75 | € (A) 43,95 | sFr 66,50 ISBN 7 978-3-540-74012-4 Sale price Sale price List price 7 € 62,95 | £56.99 7 € 19,95 | £17.99 7 € 119,95 | £108.00 7 * € (D) 67,36 | € (A) 69,25 | sFr 98,00 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 7 * € (D) 128,35 | € (A) 131,95 | sFr 186,50 Sale price 9 9 7 € 72,95 | £65.99 7 * € (D) 78,06 | € (A) 80,25 | sFr 113,50

M. Takesaki, University of California, Los Angeles, L. Tartar, Carnegie Mellon University, Pittsburgh, 9 CA, USA PA, USA Theory of Operator Algebras III From Hyperbolic Systems to

C. Sulem, University of Toronto, Ont., Canada; From the reviews 7 These three bulky volumes Kinetic Theory P. Sulem, CNRS, Nice, France [EMS 124, 125, 127] […] provide an introduction A Personalized Quest The Nonlinear Schrödinger to this rapidly developing theory. [...] These books Tartar questions many of the premises that Equation can be warmly recommended to every graduate underlie the subject. He argues that, while student who wants to become acquainted with Maxwell and Boltzmann created a kinetic Self-Focusing and Wave Collapse this exciting branch of mathematics. Further- theory of gases using classical mechanics, how Filling the gap between the mathematical more, they should be on the bookshelf of every could they derive the irreversible Boltzmann literature and applications to domains, the researcher of the area. 7 Acta Scientiarum equation from a reversible Hamiltonian authors have chosen to address the problem of Mathematicarum framework? This illuminating and perceptive wave collapse by several methods ranging from volume takes the ideas behind hyperbolic rigorous mathematical analysis to formal 2003. XXII, 548 p. (Encyclopaedia of Mathematical systems and kinetic theory to another level. aymptotic expansions and numerical simula- Sciences, Volume 127) Hardcover tions. ISBN 7 978-3-540-42913-5 2008. XXVIII, 282 p. (Lecture Notes of the Unione List price Matematica Italiana, Volume 6) Softcover 1999. XVI, 350 p. 9 illus. (Applied Mathematical 7 € 109,95 | £99.00 ISBN 7 978-3-540-77561-4 Sciences, Volume 139) Hardcover 7 * € (D) 117,65 | € (A) 120,95 | sFr 171,00 List price ISBN 7 978-0-387-98611-1 Sale price 7 € 49,95 | £44.99 List price 7 € 66,95 | £60.99 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 € 89,95 | £81.00 7 * € (D) 71,64 | € (A) 73,65 | sFr 10,40 Sale price 7 * € (D) 96,25 | € (A) 98,95 | sFr 140,00 7 € 32,95 | £29.99 Sale price 9 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 € 49,95 | £44.99 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 9 9

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M. E. Taylor, University of North Carolina, Chapel J. A. Thorpe, Flushing, NY, USA M. Trott, Wolfram Research Inc., Champaign, IL, USA Hill, NC, USA Elementary Topics in The Mathematica GuideBook for Partial Differential Equations I Differential Geometry Symbolics Basic Theory This introductory text develops the geometry of This guidebook introduces symbolic computa- This is the first of three volumes on partial n-dimensional oriented surfaces in Rn+1. By tions using Mathematica 5.1 and enables readers differential equations. It introduces basic viewing such surfaces as level sets of smooth to perform and optimize sophisticated symbolic examples of partial differential equations, functions, the author is able to introduce global computations. arising in continuum mechanics, electro- ideas early without the need for preliminary From the reviews 7 The book is filled with magnetism, complex analysis and other areas, chapters developing sophisticated machinery. Mathematica programming gems and is and develops a number of tools for their The calculus of vector fields is used as the particularly valuable for researchers using special solution, including particularly Fourier analysis, primary tool in developing the theory. functions in their work....Every chapter has distribution theory, and Sobolev spaces. numerous exercises with full solutions...this is the 1st ed. 1979. Corr. 4th printing 1994. XIII, 253 p. best source of the applications of Mathematica to 1st ed. 1996. Corr. 2nd printing 1997. XXIII, 561 p. 126 illus. (Undergraduate Texts in Mathematics) numerous computational tasks. 37 illus. (Applied Mathematical Sciences, Hardcover 7 Zentralblatt MATH Volume 115) Hardcover ISBN 7 978-0-387-90357-6 ISBN 7 978-0-387-94653-5 List price 2006. XL, 1453 p. 900 illus. With DVD. List price 7 € 59,95 | £53.99 Hardcover 7 € 74,95 | £66.99 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 ISBN 7 978-0-387-95020-4 7 * € (D) 80,20 | € (A) 82,45 | sFr 114,00 Sale price List price Sale price 7 € 32,95 | £29.99 7 € 66,95 | £59.99 7 € 42,95 | £38.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 * € (D) 71,64 | € (A) 73,65 | sFr 104,00 7 * € (D) 45,96 | € (A) 47,25 | sFr 67,00 Sale price 9 7 € 39,95 | £35.99 9 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00

M. Trott, Wolfram Research Inc., Champaign, IL, USA 9 R. Temam, University of Paris, France The Mathematica GuideBook for Infinite Dimensonal Dynamical Numerics Systems in Mechanics and J. L. Troutman An indispensable resource, this guidebook Physics introduces the reader to Mathematica's various Variational Calculus and In this second updated and extended edition the approximate numbers, their arithmetic and the Optimal Control most common numerical analysis operations. author presents the dynamical systems in Optimization with Elementary Convexity infinite dimension, especially those generated It includes thousands of visualizations of The text provides an introduction to the by dissipative partial differential equations. concepts, algorithms, results and more than variational methods used to formulate and solve It attempts a systematic study of infinite 200 fully worked non-trivial examples from mathematical and physical problems and gives dimensional dynamical systems generated by mathematics and physics. The accompanying the reader an insight into the systematic use of dissipative evolution partial differential DVD contains all material in the form of elementary (partial) convexity of differentiable equations arising in mechanics and physics and hyperlinked and editable Mathematica functions in Euclidian space. in other areas of sciences and technology. notebooks fully tailored for Mathematica 5.1. 2nd ed. 1996. XV, 484 p. 87 illus. (Undergraduate 2nd ed. 1997. XXI, 648 p. 13 illus. (Applied 2006. XXXVI, 1208 p. 1200 illus. With DVD. Texts in Mathematics) Hardcover Mathematical Sciences, Volume 68) Hardcover Hardcover ISBN 7 978-0-387-94511-8 ISBN 7 978-0-387-94866-9 ISBN 7 978-0-387-95011-2 List price List price List price 7 € 59,95 | £53.99 7 € 89,95 | £81.00 7 € 66,95 | £59.99 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 7 * € (D) 96,25 | € (A) 98,95 | sFr 140,00 7 * € (D) 71,64 | € (A) 73,65 | sFr 104,00 Sale price Sale price Sale price 7 € 32,95 | £29.99 7 € 49,95 | £44.99 7 € 39,95 | £35.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 97 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 97 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 9

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A. Tveito, Simula Research Laboratory, Lysaker, C. W. Ueberhuber, Technical University of Vienna, W. Walter, University of Karlsruhe, Germany Norway; R. Winther, University of Oslo, Norway Austria Ordinary Differential Equations Introduction to Partial Numerical Computation 2 Translated by R. Thompson Differential Equations Methods, Software, and Analysis This unique treatment of ODEs emphasizes A Computational Approach This book is the second part of a modern, subjects outside of the mainstream and presents This book teaches basic methods of partial two-volume introduction on numerical material in a carefully organized fashion with differential equations and introduces related computation, which strongly emphasises clear explanations and consistent motivation. It important ideas associated with the analysis of software aspects. It can serve as a textbook for includes material seldom found in other books, numerical methods for those partial differential courses on numerical analysis, in particular, for including new proofs for basic theorems. equations. Coverage details such topics as engineers. The book can also be used as a Exercises as well as applications in varying fields separation of variables, Fourier analysis, reference book and it includes an extensive are dispersed throughout. maximum principles, and energy estimates. bibliography. The author was involved in the The book introduces numerical methods in creation of the software package QUADPACK. 1998. XI, 400 p. 46 illus. (Graduate Texts in parallel to the classical theory and also includes Mathematics, Volume 182) Hardcover many engaging exercises. 1997. XVI, 496 p. 73 illus. Softcover ISBN 7 978-0-387-98459-9 ISBN 7 978-3-540-62057-0 List price 1st ed. 1998. Corr. 2nd printing 2005. XVI, 392 p. List price 7 € 66,95 | £59.99 (Texts in Applied Mathematics, Volume 29) 7 € 59,95 | £53.99 7 * € (D) 71,64 | € (A) 73,65 | sFr 104,00 Hardcover 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 ISBN 7 978-3-540-22551-5 Sale price Sale price 7 € 36,95 | £33.99 List price 7 € 29,95 | £26.99 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 7 € 49,95 | £39.99 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 7 * € (D) 53,45 | € (A) 54,95 | sFr 83,00 9 Sale price 9 7 € 29,95 | £26.99 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 F. W. Warner, University of Pennsylvania, Philadel- J. Voit, Deutscher Sparkassen- und Giroverband, phia, PA, USA 9 Berlin, Germany Foundations of Differentiable The Statistical Mechanics of Manifolds and Lie Groups Financial Markets C. W. Ueberhuber, Technical University of Vienna, Foundations of Differentiable Manifolds and Austria The third edition of this highly praised reference Lie Groups gives a clear, detailed, and careful Numerical Computation 1 offers new chapters on the basic notions and development of the basic facts on manifold tools of risk management, and capital require- theory and Lie Groups. Coverage includes Methods, Software, and Analysis ments for financial institutions, including an differentiable manifolds, tensors and differen- This book is the first part of a modern, overview of the new Basel II capital framework tiable forms, Lie groups and homogenous two-volume introduction on numerical which may well set the risk management spaces, and integration on manifolds. The book computation, which strongly emphasises standards in scores of countries for years to also provides a proof of the de Rham theorem software aspects. It can serve as a textbook come. via sheaf cohomology theory and develops the for courses on numerical analysis, in particular, local theory of elliptic operators culminating in for engineers. The book can also be used as a 3rd ed. 2005. XV, 378 p. 99 illus. (Theoretical and a proof of the Hodge theorem. reference book and it includes an extensive Mathematical Physics) Hardcover bibliography. The author was involved in the ISBN 7 978-3-540-26285-5 1st ed. 1971. 2nd printing 1983. 292 p. 570 illus. (Graduate Texts in Mathematics, Volume 94) creation of the software package QUADPACK. List price Hardcover 7 € 54,95 | £43.99 ISBN 7 978-0-387-90894-6 1997. XVI, 474 p. 157 illus. Softcover 7 * € (D) 58,80 | € (A) 60,45 | sFr 91,50 ISBN 7 978-3-540-62058-7 List price Sale price 7 € 54,95 | £49.99 List price 7 € 32,95 | £29.99 7 * € (D) 58,80 | € (A) 60,45 | sFr 86,50 7 € 59,95 | £53.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 Sale price Sale price 9 7 € 29,95 | £26.99 7 € 29,95 | £26.99 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 97 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 9

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W. Waterhouse S. Wiggins, University of Bristol, UK E. Zeidler, University of Leipzig, Germany Introduction to Affine Group Introduction to Applied Applied Functional Analysis Schemes Nonlinear Dynamical Systems Main Principles and Their Applications and Chaos This textbook represents an elementary From the contents 7 The Basic Subject Matter introduction into applied functional analysis 7 Decomposition Theorems 7 The Infini- This introduction to applied nonlinear addressed to researchers and beginning tesimal Theory 7 Faithful Flatness and dynamics and chaos places emphasis on graduate students in mathematics, physics and Quotients 7 Descent Theory 7 Appendix: teaching the techniques and ideas that will engineering. The work consists of two volumes. Subsidiary Information 7 Further Reading enable students to take specific dynamical 7 Index of Symbols 7 Index. systems and obtain some quantitative infor- mation about their behavior. 1995. XVI, 428 p. 40 illus. (Applied Mathematical Sciences, Volume 109) Hardcover 1979. XI, 164 p. (Graduate Texts in ISBN 7 978-0-387-94422-7 Mathematics, Volume 66) Hardcover 2nd ed. 2003. 808 p. 250 illus. (Texts in Applied ISBN 7 978-0-387-90421-4 Mathematics, Volume 2) Hardcover List price ISBN 7 978-0-387-00177-7 7 € 89,95 | £81.00 List price 7 * € (D) 96,25 | € (A) 98,95 | sFr 140,00 7 € 59,95 | £53.99 List price 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 7 € 79,95 | £72.50 Sale price 7 * € (D) 85,55 | € (A) 87,95 | sFr 125,50 7 € 49,95 | £44.99 Sale price 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 € 32,95 | £29.99 Sale price 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 € 49,95 | £44.99 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 9 9 9 W. P. Ziemer, Indiana University, Bloomington, IN, USA P. Wesseling, Delft University of Technology, Delft, The Netherlands G. Winkler Weakly Differentiable Functions Principles of Computational Image Analysis, Random Fields Sobolev Spaces and Functions of Bounded Fluid Dynamics and Markov Chain Monte Carlo Variation The major thrust of this book is the analysis of This up-to-date book gives an account of the Methods pointwise behavior of Sobolev functions of present state of the art of numerical methods A Mathematical Introduction integer order and BV functions (functions employed in computational fluid dynamics. whose partial derivatives are measures with The underlying numerical principles are treated From the reviews 7 This book is concerned with a finite total variation). The development of in some detail, using elementary methods. probabilistic approach for image analysis, mostly Sobolev functions includes an analysis of their The author gives many pointers to the current from the Bayesian point of view, and the continuity properties in terms of Lebesgue literature, facilitating further study. This book important Markov chain Monte Carlo methods points, approximate continuity, and fine will become the standard reference for CFD for commonly used....This book will be useful, continuity. the next 20 years. especially to researchers with a strong background in probability and an interest in image analysis. 1989. XVI, 332 p. 1 illus. (Graduate Texts in 2001. XII, 644 p. 150 illus. (Springer Series in Compu- The author has presented the theory with rigor… Mathematics, Volume 120) Hardcover tational Mathematics, Volume 29) Hardcover he doesn’t neglect applications, providing ISBN 7 978-0-387-97017-2 ISBN 7 978-3-540-67853-3 numerous examples of applications to illustrate the theory. 7 Mathematical Reviews List price List price 7 € 69,95 | £62.99 7 € 129,95 | £117.00 2nd ed. Corr. 3rd printing. 2006. XVI, 389 p. 7 * € (D) 74,85 | € (A) 76,95 | sFr 109,00 7 * € (D) 139,05 | € (A) 142,95 | sFr 202,00 59 illus. With CD-ROM. (Stochastic Modelling and Sale price Sale price Applied Probability, Volume 27) Hardcover 7 € 38,95 | £35.99 7 € 76,95 | £69.99 ISBN 7 978-3-540-44213-4 7 * € (D) 41,68 | € (A) 42,85 | sFr 60,50 7 * € (D) 82,34 | € (A) 84,65 | sFr 119,50 List price 7 € 79,95 | £72.00 9 9 7 * € (D) 85,55 | € (A) 87,95 | sFr 124,50 Sale price 7 € 49,95 | £44.99 97 * € (D) 53,45 | € (A) 54,95 | sFr 77,50

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C. Zopounidis, M. Doumpos, Technical University of French Titles J. Bost, Université Paris-Sud, Orsay, France; Crete, Chania, Greece; P. M. Pardalos, University of F. Loeser, Centre de Mathématique, Ecole Polytech- Florida, Gainesville, Florida (Eds.) nique, Palaiseau, France; M. Raynaud, Université Handbook of Financial J. Bochnak, University of Amsterdam, The Nether- Paris-Sud, Orsay, France (Eds.) Engineering lands; M. Coste, M. Roy, University of Rennes, Courbes semi-stables et groupe France fondamental en géométrie This comprehensive edited volume discusses Géométrie algébrique réelle the most recent advances within the field of algébrique financial engineering, focusing not only on the From the contents 7 1. Corps ordonnés, corps Luminy, Decembre 1998 description of the existing areas in financial réels clos 7 2. Ensembles sémi-algébriques This volume contains detailed expositions of engineering research, but also on the new 7 3. Variétés algébriques réelles: définitions et talks given during an instructional conference methodologies that have been developed for exemples 7 4. Algèbre réelle 7 5. Le principe held at Luminy in December 1998, which was modeling and addressing financial engineering de Tarski-Seidenberg comme outil de transfert devoted to classical and recent results concern- problems. 7 6. Le 17è problème de Hilbert 7 7. Spectre ing the fundamental group of algebraic curves, réel 7 8. Fonctions de Nash 7 9. Stratification especially over finite and local fields. 2008. XVIII, 494 p. 25 illus. (Springer Optimization 7 10. Places 7 11. Topologie des ensembles and Its Applications, Volume 18) Hardcover algébriques sur un corps réel clos 7 12. Fibres 2000. IX, 289 p. (Progress in Mathematics, ISBN 7 978-0-387-76681-2 vectoriels algébriques. Volume 187) Relié List price ISBN 7 978-3-7643-6308-6 7 € 109,95 | £99.00 1987. X, 373 p. 44 ill. (Ergebnisse der Mathematik List price 7 * € (D) 117,65 | € (A) 120,95 | sFr 171,00 und ihrer Grenzgebiete. 3. Folge / A Series of € 88,00 | £69.99 Modern Surveys in Mathematics, Volume 12) Relié 7 Sale price 7 * € (D) 94,16 | € (A) 96,80 | sFr 138,00 ISBN 7 978-3-540-16951-2 7 € 66,95 | £60.99 Sale price 7 * € (D) 71,64 | € (A) 73,65 | sFr 10,40 List price 7 € 44,95 | £40.99 7 € 132,70 | £105.00 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 9 7 * € (D) 141,99 | € (A) 145,97 | sFr 220,50 Sale price 9 7 € 59,95 | £53.99 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 9 N. Bourbaki, Paris, France Espaces vectoriels topologiques Chapitres 1à 5 J. Bonnans, J. Gilbert, C. Lemaréchal, Ce troisième volume du Livre sur les Groupes et C. Sagastizábal, INRIA, Le Chesnay, France algèbres de Lie, neuvième Livre du traité, est Optimisation Numérique consacré aux structures de systèmes de racines, de groupes de Coxeter et de systèmes de Tits, Aspects théoriques et pratiques qui apparaissent naturellement dans l’étude des Ce livre est exclusivement consacré aux groupes de Lie analytique ou algébriques. Il algorithmes numériques d'optimisation comprend les chapitres: Groupes de Coxeter et (quasi-Newton, faisceaux, programmation systèmes de Tits, Groupes engenders par des quadratique successive, points intérieurs); les reflexions, Systèmes de racines. bases théoriques (conditions d'optimalité, multiplicateurs de Lagrange) sont supposées Réimpression inchangée de l'édition de 1981. connues. 2007. 368 p. Broché ISBN 7 978-3-540-34497-1 1997. XII, 324 p. (Mathématiques et Applications, List price Volume 27) Broché 7 € 47,39 | £37.99 ISBN 7 978-3-540-63183-5 7 * € (D) 50,71 | € (A) 52,14 | sFr 79,00 List price Sale price 7 € 57,82 | £45.99 7 € 24,95 | £22.99 7 * € (D) 61,87 | € (A) 63,60 | sFr 96,00 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 Sale price 7 € 29,95 | £26.99 9 97 * € (D) 32,05 | € (A) 32,95 | sFr 46,50

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N. Bourbaki, Paris, France A. Chenciner, Université Paris VII, France C. Cocozza-Thivent, Université de Marne-la-Vallee, Groupes et algèbres de Lie Courbes Algébriques Planes Noisy-le-Grand, France Processus stochastiques et Chapitres 4, 5 et 6 Issu d’un cours de maîtrise de l’Université Paris Ce livre est le cinquième du traité contient en VII, ce texte est réédité tel qu’il était paru en fiabilité des systèmes particulier le théorème de Hahn-Banach et le 1978. A propos du théorème de Bézout sont Le fil directeur de ce livre, construit à partir des théorème de Banach-Steinhaus. Il comprend les introduits divers outils nécessaires au dévelop- cours de DESS et de DEA de l'auteur, est la fiabi- chapitres: 1. Espaces vectoriels topologiques sur pement de la notion de multiplicité d’intersec- lité. Son but est de montrer concrètement ce que un corps value; 2. Ensembles convexes et tion de deux courbes algébriques dans le plan peut apporter l'étude des processus stochasi- espaces localement convexes; 3. Espaces projectif complexe. tques dans ce domaine. Chemin faisant, cela d’applications linéaires continues; 4. La dualité permet d'aborder, dans des cas relativement dans les espaces vectoriels topologiques; 1ière ed. 1978. 2ième tirage 2008. X, 160 p. Broché simples, des techniques variées utilisées dans 5. Espaces hilbertiens (théorie élémentaire). ISBN 7 978-3-540-33707-2 l'étude des processus stochastiques, tout en List price conservant l'esprit des démonstrations Réimpression inchangée de l'édition de 1968. 7 € 42,65 | £38.99 générales. 2007. 288 p. Broché 7 * € (D) 45,64 | € (A) 46,92 | sFr 66,50 ISBN 7 978-3-540-34490-2 1997. XIV, 436 p. (Mathématiques et Applications, Sale price Volume 28) Broché List price 7 € 19,95 | £17.99 ISBN 7 978-3-540-63390-7 7 € 47,39 | £37.99 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 7 * € (D) 50,71 | € (A) 52,14 | sFr 79,00 List price 7 € 75,83 | £59.99 Sale price 9 7 * € (D) 81,14 | € (A) 83,41 | sFr 126,00 7 € 24,95 | £22.99 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 Sale price C. Chevalley) 7 € 38,95 | £35.99 9 7 * € (D) 41,68 | € (A) 42,85 | sFr 60,50 Classification des Groupes Algébriques Semi-simples 9 N. Bourbaki The Classification of Semi-simple Algebraic Théories spectrales Groups Révision par P. Cartier L. Decreusefond, A. Maruani, École Nationale Supé- Chapitres 1 et 2 rieure des Télécommunications, Paris, France Le texte de cet ouvrage correspond au Séminaire Ce premier volume du Livre consacré aux dirigé par Claude Chevalley, à l'Ecole Normale Mathématiques, Informatique, Théorie spectrales, dernier Livre du traité, Supérieure de Paris, pendant les années Physique. Au fil des TIPE comprend les chapitres: 1. Algèbres normée; universitaires 1956/57 et 1957/58. 2. Groupes localement compacts commutatifs. Responsables pédagogiques de l’épreuve pour les 2005. XIII, 276 p. (Collected Works of mathématiques, l’informatique et la physique, Réimpression inchangée de l'édition de 1967. Claude Chevalley, Volume 3) Relié L. Decreusefond et A. Maruani ont contribué de 2007. IV, 166 p. Broché ISBN 7 978-3-540-23031-1 manière significative à la conception et à la mise ISBN 7 978-3-540-35330-0 en œuvre des TIPE. Cet ouvrage présente neuf List price dossiers de mathématiques, de physique ou List price 7 € 69,95 | £55.99 d’informatique proposés au concours. Chaque 7 € 47,39 | £37.99 7 * € (D) 74,85 | € (A) 76,95 | sFr 116,50 sujet est accompagné de remarques générales, 7 * € (D) 50,71 | € (A) 52,14 | sFr 79,00 Sale price d’un commentaire, d’une suggestion de plan, de Sale price 7 € 34,95 | £31.99 questions qu’un jury aurait pu poser et d’un 7 € 24,95 | £22.99 7 * € (D) 37,40 | € (A) 38,45 | sFr 54,50 développement replaçant le thème du dossier 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 9 dans son contexte scientifique. 9 2005. XIII, 268 p. (SCOPOS, Volume 19) Broché ISBN 7 978-2-287-22305-1 List price 7 € 33,18 | £25.50 7 * € (D) 35,50 | € (A) 36,50 | sFr 54,50 Sale price 7 € 17,95 | £16.99 97 * € (D) 19,21 | € (A) 19,75 | sFr 28,00

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Y. Dodge, Université de Neuchâtel, Suisses A. Ern, CERMICS, ENPC, Marne la Vallee, France; R. Godement, Université Paris VII, France Optimisation appliquée J. Guermond, LIMSI, CNRS, Orsay, France Analyse mathématique I Éléments finis: théorie, Cet ouvrage présente les concepts fondamen- Convergence, fonctions élémentaires taux d'optimisation classique et de programma- applications, mise en oeuvre Les deux premiers volumes de cet ouvrage sont tion linéaire. Il comporte une partie de théorie Ces notes de cours (Ecole Nationale des Ponts et consacrés aux fonctions dans R ou C, y compris mathématique sur le calcul matriciel et les Chaussées, DEA de Mécanique de Paris VI) la théorie élémentaire des séries et intégrales de systèmes d'équations et d'inéquations linéaires. présentent la méthode des éléments finis dans Fourier et une partie de celle des fonctions holo- L’ouvrage traite ensuite d'optimisation classique un cadre mathématique rigoureux. En morphes. L'exposé, non strictement linéaire, avec et sans contraintes, de programmation accordant une place fondamentale aux combine indications historiques et raisonne- linéaire, de la méthode du simplexe et du conditions inf-sup, elles s'affranchissent du ments rigoureux. simplexe révisé. Les derniers chapitres sont cadre réducteur Lax-Milgram/Galerkin consacrés à la dualité, à la post-optimisation et standard. 2ème éd. corr. 2001. XX, 458 p. Broché analyse de sensibilité ainsi qu'aux problèmes de ISBN 7 978-3-540-42057-6 transport. 2002. CDXXX, 9 p. (Mathématiques et Applications, List price Volume 36) Broché 7 € 42,65 | £33.99 2005. X, 334 p. Broché ISBN 7 978-3-540-42615-8 ISBN 7 978-2-287-21335-9 7 * € (D) 45,64 | € (A) 46,92 | sFr 71,00 List price Sale price List price 7 € 71,09 | £56.99 7 € 22,95 | £20.99 7 € 42,65 | £33.99 7 * € (D) 76,07 | € (A) 78,21 | sFr 118,00 7 * € (D) 45,64 | € (A) 46,92 | sFr 71,00 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 Sale price Sale price 7 € 36,95 | £33.99 9 7 € 19,95 | £17.99 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 9 9 R. Godement, Université Paris VII, France Analyse mathématique II L. Fargues, A. Genestier, Laboratoire de Mathéma- Calcul différentiel et intégral, séries de Fourier, M. Duflo, Université de Marne-la-Vallee, Noisy-Le- tiques, Orsay, France; V. Lafforgue, Université Paris fonctions holomorphes Grand, France VI, France Les volumes 3 et 4 traiteront principalement des Algorithmes stochastiques L'isomorphisme entre les tours fonctions analytiques (théorie de Cauchy, théorie analytique des nombres et fonctions Au cours des dernières années, les algorithmes de Lubin-Tate et de Drinfeld modulaires), ainsi que du calcul différentiel sur stochastiques se sont beaucoup développés tant Ce livre contient une démonstration détaillée et les variétés, avec un court exposé de l'intégrale sur le plan de l'analyse mathématique que vers complète de l'existence d'un isomorphisme de Lebesgue, en suivant d'assez près le célèbre diverses applications: automatique, images, équivariant entre les tours p-adiques de cours donné longtemps par l'auteur à l'Univer- neurones, statistique... Ce livre présente les Lubin-Tate et de Drinfeld. Le résultat est établi sité Paris VII. divers types d'algorithmes stochastiques, en égales et inégales caractéristiques. illustrés par des exemples: algorithmes à pas 2ème éd. corrigée 2003. VIII, 490 p. 19 ill. Broché décroissants, algorithmes markoviens, recuit 2008. XIII, 406 p. (Progress in Mathematics, ISBN 7 978-3-540-00655-8 simulé. Volume 262) Relié List price ISBN 7 978-3-7643-8455-5 1996. XIII, 319 p. (Mathématiques et Applications, 7 € 42,65 | £33.99 Volume 23) Broché List price 7 * € (D) 45,64 | € (A) 46,92 | sFr 71,00 ISBN 7 978-3-540-60699-4 7 € 59,90 | £53.99 Sale price 7 * € (D) 64,09 | € (A) 65,89 | sFr 105,00 List price 7 € 22,95 | £20.99 7 € 56,87 | £44.99 Sale price 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 7 * € (D) 60,85 | € (A) 62,56 | sFr 94,50 7 € 36,95 | £33.99 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 Sale price 9 7 € 29,95 | £26.99 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 9 9

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R. Godement, Université Paris VII, France A. Henrot, Université Henri Poincaré, Vandoeuvre- B. Lapeyre, E. Pardoux, R. Sentis Analyse mathématique III les-Nancy, France; M. Pierre, Antenne de Bretagne Méthodes de Monte-Carlo pour de I'ENS Cachan, Bruz, France les équations de transport et de Fonctions analytiques, différentielles et variétés, Variation et optimisation de surfaces de Riemann diffusion formes Les deux premiers volumes de cet ouvrage sont Le but de ce livre est de donner une introduc- consacrés aux fonctions dans R ou C, y compris Une analyse géométrique tion aux méthodes de Monte-Carlo orientée la théorie élémentaire des séries et intégrales de Ce livre est une initiation aux approches vers la résolution des équations aux dérivées Fourier et une partie de celle des fonctions holo- modernes de l’optimisation mathématique de partielles. Après des rappels sur les techniques morphes. L'exposé, non strictement linéaire, formes. Il s’appuie sur les seules connaissances de simulation, de réduction de variance et de combine indications historiques et raisonne- de première année de Master de mathéma- suites à discrepance faible, les auteurs traitent en ments rigoureux. tiques, mais permet déjà d’aborder les questions détail le cas des équations de transport, de ouvertes dans ce domaine en pleine efferves- l'équation de Boltzmann et des équations 2002. IX, 338 p. 27 ill. Broché cence. On y développe la méthodologie ainsi paraboliques de diffusion. Dans chaque cas ils ISBN 7 978-3-540-66142-9 que les outils d’analyse mathématique et de introduisent les processus aléatoires associées et List price géométrie nécessaires à l’étude des variations de discutent les techniques d'implémentation. 7 € 42,65 | £33.99 domaines. 7 * € (D) 45,64 | € (A) 46,92 | sFr 71,00 1998. X, 178 p. (Mathématiques et Applications, 2005. XII, 334 p. (Mathématiques et Applications, Volume 29) Broché Sale price Volume 48) Broché ISBN 7 978-3-540-63393-8 7 € 22,95 | £20.99 ISBN 7 978-3-540-26211-4 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 List price List price 7 € 31,28 | £24.99 9 7 € 59,72 | £47.99 7 * € (D) 33,47 | € (A) 34,41 | sFr 52,00 7 * € (D) 63,90 | € (A) 65,69 | sFr 99,50 Sale price Sale price 7 € 19,95 | £17.99 R. Godement, Université de Paris VII, Paris, France 7 € 29,95 | £26.99 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 Analyse mathématique IV 9 Intégration et théorie spectrale, analyse 9 harmonique, le jardin des délices modulaires Ce 4ème volume initiera le lecteur à l'analyse C. Le Bris, École Nationale des Ponts et Chaussées, fonctionnelle et aux méthodes de la théorie des O. Kavian, Université de Nancy, France Marne la Vallée, France fonctions modulaires. Tout comme pour les volumes 1 à 3, on reconnaîtra ici encore, le style Introduction à la théorie des Systèmes multi-èchelles inimitable de l'auteur et pas seulement par son points critiques Modélisation et simulation refus de l'ecriture condensée en usage dans de et applications aux problèmes elliptiques Systèmes multi-échelles est une introduction à nombreux manuels. Mariant judicieusement les Ce livre est conçu comme un manuel auto-suffi- la problématique des systémes multi-échelles du mathématiques dites 'modernes' et 'classiques', sant pour tous ceux qui ont à résoudre ou point de vue du mathématicien appliqué. Il se la première partie (Intégration) est d'utilité étudier des problèmes elliptiques semi-linéaires. compose d'une mosaique d'exemples de universelle tandis que la seconde oriente le On y présente l'approche variationnelle mais les problèmes issus de la physique au sens large qui lecteur vers un domaine de recherche spécialisé outils de base et le degré topologique peuvent présentent pour leur modélisation et leur et très actif. être employés dans d'autres approches. simulation cette difficulté essentielle de Les problèmes sans compacité ainsi que les comporter en leur sein des échelles de temps ou 2003. XII, 599 p. 4 ill. Broché problèmes sans symétrie y sont étudiés. Avec d'espace très différentes. ISBN 7 978-3-540-43841-0 plus de 150 exercices ou problèmes. List price 2005. XII, 214 p. 35 ill. (Mathématiques et 7 € 42,65 | £33.99 1993. VIII, 325 p. (Mathématiques et Applications, Applications, Volume 47) Broché 7 * € (D) 45,64 | € (A) 46,92 | sFr 71,00 Volume 13) Broché ISBN 7 978-3-540-25313-6 ISBN 7 978-3-540-59619-6 Sale price List price 7 € 22,95 | £20.99 List price 7 € 43,60 | £34.99 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 7 € 49,29 | £38.99 7 * € (D) 46,65 | € (A) 47,96 | sFr 72,50 7 * € (D) 52,74 | € (A) 54,23 | sFr 82,00 Sale price 9 Sale price 7 € 22,95 | £20.99 7 € 24,95 | £22.99 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 97 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 9

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A. Lichnewsky, Université Paris Sud, Orsay, France A. Quarteroni, Ecole Polytechnique Fédérale de E. Rio, Université Paris Sud, Orsay, France (Ed.) Lausanne, Switzerland; R. Sacco, F. Saleri, Politec- Théorie asymptotique des nico di Milano, Italy Modélisation mathématique: processus aléatoires faiblement Méthodes Numériques un autre regard dépendants Algorithmes, analyse et applications Cet ouvrage rassemble plusieurs textes qui ont Ces notes sont consacrées aux inégalités et aux été soumis aux candidats de l'épreuve de Ce livre a pour but de présenter les fondements théorèmes limites classiques pour les suites de modélisation du concours d'agrégation de théoriques et méthodologiques de l'analyse variables aléatoires absolument régulières ou mathématiques. Les textes sont complétés par numérique. Une attention toute particulière est fortement mélangeantes au sens de Rosenblatt. une présentation de l'auteur, et plusieurs portée sur les concepts de stabilité, précision et Le but poursuivi est de donner des outils propositions d'exploitation convenant soit à complexité des algorithmes. Les méthodes techniques pour l'étude des processus faible- cette épreuve, soit au contexte des T.I.P.E. et modernes relatives aux thèmes suivants sont ment dépendants aux statisticiens ou aux T.P.E. Les connaissances mathématiques presentées et analysées en détail. probabilistes travaillant sur ces processus. correspondant aux deux premiers cycles universitaires y sont appliquées dans des 2007. XIV, 538 p. Broché 2000. XII, 170 p. (Mathématiques et Applications, situations concrètes simples aux prolongements ISBN 7 978-88-470-0495-5 Volume 31) Broché multiples. List price ISBN 7 978-3-540-65979-2 7 € 36,02 | £28.99 2002. XV, 267 p. 35 ill. (SCOPOS, Volume 16) Broché List price 7 * € (D) 38,54 | € (A) 39,62 | sFr 60,00 ISBN 7 978-3-540-43136-7 7 € 33,18 | £26.99 Sale price 7 * € (D) 35,50 | € (A) 36,50 | sFr 55,50 List price 7 € 19,95 | £17.99 7 € 42,65 | £33.99 Sale price 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 7 * € (D) 45,64 | € (A) 46,92 | sFr 71,00 7 € 17,95 | £16.99 7 * € (D) 19,21 | € (A) 19,75 | sFr 28,00 Sale price 9 7 € 19,95 | £17.99 9 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00

J. Rakotoson, Université de Poitiers, Futuroscope 9 Chasseneuil, France P. Robert, INRIA, Le Chesnay, France Réarrangement Relatif Réseaux et files d'attente: O. Papini, Université d'Aix-Marseille 2, Marseille, Un instrument d’estimations dans les problèmes méthodes probabilistes France; J. Wolfmann, Université de Toulon, aux limites Ce livre présente une catégorie de modèles La Garde, France L'objectif de ce livre est de présenter une probabilistes regroupés sous le nom de réseaux Algèbre discrète et codes méthode méconnue voire nouvelle basée sur le ou systèmes de files d'attente. Ces modèles correcteurs concept du réarrangement relatif qui est le sujet interviennent dans de nombreuses applications, principal de ce livre. Pour ce faire, on a comme les réseaux de télecommunication ou les Cet ouvrage issu d'enseignements de 2ème et développé des propriétés du réarrangement réseaux informatiques. Sur le plan théorique ils 3ème cycle se veut une initiation à la théorie monotone dont certaines ne se trouvent dans sont à la source d'une large classe de problèmes : algébrique des codes correcteurs d'erreurs. aucun autre ouvrage que dans ce livre (sauf dans marches aléatoires et diffusions réfléchies, Il s'adresse aussi bien à un public d'étudiants des revues) comme les inégalités de Polyà-Szego processus ponctuels, etc. Ce livre présente les que de chercheurs ou d'ingénieurs dans le ou les C_alpha-réarrangements. techniques probabilistes qui permettent domaine des mathématiques ou de l'informa- d'étudier le comportement qualitatif de ces tique. Il aborde à la fois les aspects théoriques 2008. XVI, 294 p. 6 ill. (Mathématiques et modèles. et pratiques. Il présente un aperçu historique Applications, Volume 64) Broché de la Théorie des Codes. ISBN 7 978-3-540-69117-4 2000. XII, 368 p. 32 ill. (Mathématiques et List price Applications, Volume 35) Broché 1995. XIII, 259 p. (Mathématiques et Applications, 7 € 60,66 | £54.99 ISBN 7 978-3-540-67872-4 Volume 20) Broché 7 * € (D) 64,91 | € (A) 66,73 | sFr 94,50 ISBN 7 978-3-540-60226-2 List price Sale price 7 € 60,66 | £47.99 List price 7 € 32,95 | £29.99 7 * € (D) 64,91 | € (A) 66,73 | sFr 101,00 7 € 46,45 | £36.99 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 * € (D) 49,70 | € (A) 51,10 | sFr 77,50 Sale price 7 € 32,95 | £29.99 Sale price 9 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 € 26,95 | £24.99 97 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 9

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M. Vigneras Italian/Portuguese/ M. G. Bartolini Bussi, M. Maschietto, Università di Modena e Reggio Emilia, Italia Representations modulaires des Spanish Titles groupes reductifs p-adiques. Macchine matematiche Representations cuspidales de Dalla storia alla scuola M. Aigner, Freie Universität Berlin, Germany; L’esplorazione guidata delle macchine consente GL(n) G. Ziegler, Technische Universität Berlin, Germany di ricostruire il significato geometrico-spaziale Taking up the works of Harish-Chandra, Proofs from the Book di concetti o procedure di solito affrontati solo Langlands, Borel, Casselman, Bernstein and nel quadro algebrico e di esplorare dinamica- Zelevinsky, among others, on the complex Edizione italiana a cura di Alfio Quarteroni mente le configurazioni assunte allo scopo di representation theory of a p -adic reductive Paul Erdos amava parlare del Libro in cui Dio produrre congetture e costruire dimostrazioni. group G , the author explores the representa- conserva le dimostrazioni perfette per i teoremi tions of G over an algebraic closure Fl of a finite matematici, seguendo il detto di G. H. Hardy 2006. XVIII, 160 pagg. Con CD-ROM. field Fl with l1 p elements, which are called secondo il quale non vi è posto perenne per la (Convergenze) Brossura 'modular representations'. The main feature of matematica brutta. Erdos disse anche che non è ISBN 7 978-88-470-0402-3 the book is to develop the theory of types over necessario credere in Dio, tuttavia in quanto Fl , and to use this theory to prove fundamental matematici si deve credere nel Libro. Alcuni List price results in the theory of modular representations. anni fa gli autori gli suggerirono di scrivere una 7 € 22,07 | £17.99 prima (e assai modesta) approssimazione del 7 * € (D) 23,61 | € (A) 24,28 | sFr 37,00 1996. 260 p. (Progress in Mathematics, Volume 137) Libro. Egli fu entusiasta e, come gli era Sale price Relié peculiare, si mise immediatamente al lavoro, 7 € 14,95 | £13.99 ISBN 7 978-0-8176-3929-7 riempiendo pagine su pagine con i suoi 7 * € (D) 16,00 | € (A) 16,45 | sFr 23,50 List price suggerimenti. Essendo sfortunatamente morto nell'estate del 1996, Paul non compare come 7 € 74,90 | £44.99 9 co-autore. Tuttavia questo libro è dedicato alla 7 * € (D) 80,14 | € (A) 82,39 | sFr 129,00 sua memoria. Sale price 7 € 38,95 | £35.99 2006. XX, 270 pagg. Cartonato M. Bertolini, M. Cazzola, M. Dedò, S. Di Sieno, 7 * € (D) 41,68 | € (A) 42,85 | sFr 60,50 ISBN 7 978-88-470-0435-1 Dipartimento di Matematica, Università di Milano; E. Frigerio, D. Luminati, G. Poldi, M. Rampichini, List price I. Tamanini, G. M. Todesco, C. Turrini (Eds.) 9 € 32,64 | £25.99 7 7 * € (D) 34,93 | € (A) 35,90 | sFr 54,50 mateMilano Sale price percorsi matematici in città B. Ycart, Université de Paris V, France 7 € 22,95 | £20.99 Questo libro, nato come il catalogo della mostra Modèles et Algorithmes 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 dallo stesso titolo, raccoglie i testi che ne Markoviens 9 avevano accompagnato gli exhibit. Ce livre est destiné à tous ceux, mathématiciens 2005. XII, 200 pagg. Brossura ou non, qui souhaitent acquérir une maîtrise ISBN 7 978-88-470-0226-5 pratique de l'outil probabiliste dans ses applications les plus courantes. L'élaboration W. Baldoni, C. Ciliberto, G. Piacentini Cattaneo, List price d'un modèle probabiliste conduit, en dehors de Università di Roma Tor Vergata, Roma, Italy 7 € 23,99 | £18.50 cas particuliers de faible intérêt pratique, à des Aritmetica, crittografia e codici 7 * € (D) 25,67 | € (A) 26,40 | sFr 42,00 problèmes théoriques difficiles qui sont vite hors Sale price de portée de l'utilisateur (comme d'ailleurs Il libro potrà essere utile a studenti e/o a 7 € 16,95 | £15.99 souvent du probabiliste professionnel). studiosi, sia di discipline teoriche, come i * € (D) 18,14 | € (A) 18,65 | sFr 26,50 matematici puri, che applicative come fisici, 7 2002. XII, 272 p. (Mathématiques et Applications, informatici o ingegneri, che intendano Volume 39) Broché avvicinarsi alla crittografia. 9 ISBN 7 978-3-540-43696-6 2006. XVI, 518 pagg. (UNITEXT / La Matematica per List price il 3+2) Brossura € 45,50 | £35.99 7 ISBN 7 978-88-470-0455-9 7 * € (D) 48,69 | € (A) 50,05 | sFr 76,00 List price Sale price 7 € 28,80 | £22.99 € 26,95 | £24.99 7 7 * € (D) 30,81 | € (A) 31,68 | sFr 48,00 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 Sale price 9 7 € 19,95 | £17.99 97 * € (D) 21,35 | € (A) 21,95 | sFr 31,00

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L. Catastini, F. Ghione, Università di Roma, Italia M. Emmer, Università degli Studi "La Sapienza" M. Emmer, Università degli Studi "La Sapienza" Le Geometrie della Visione Roma, Italia (Ed.) Roma, Italy (Ed.) Scienza, Arte, Didattica matematica e cultura 2001 Matematica e cultura 2003 L’opera offre la possibilità di unire intuizione e Il tema dei convegni di “Matematica e Cultura”, L’opera raccoglie gli atti del convegno ragionamento, costruendo un’immagine chiara giunto alla sua terza edizione, si propone come “Matematica e Cultura” tenutosi a Venezia a dello sviluppo della matematica legata alla un ponte tra i diversi aspetti del sapere umano. marzo 2002. visione, dalle origini classiche, al rinascimento, alla moderna geometria proiettiva. 2001. VIII, 262 pagg. (Matematica e cultura) 2003. VIII, 260 pagg. (Matematica e cultura) Cartonato Cartonato 2006. VIII, 175 pagg. Con CD-ROM. Brossura ISBN 7 978-88-470-0141-1 ISBN 7 978-88-470-0210-4 ISBN 7 978-88-470-0208-1 List price List price List price 7 € 20,14 | £15.50 7 € 25,91 | £20.00 7 € 34,57 | £26.50 7 * € (D) 21,55 | € (A) 22,15 | sFr 35,50 7 * € (D) 27,73 | € (A) 28,50 | sFr 45,50 7 * € (D) 36,99 | € (A) 38,03 | sFr 60,50 Sale price Sale price Sale price 7 € 14,95 | £13.99 7 € 19,95 | £17.99 7 € 22,95 | £20.99 7 * € (D) 16,00 | € (A) 16,45 | sFr 23,50 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 97 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 9 9

M. Emmer (Ed.) M. Emmer, Università degli Studie "La Sapienza", M. Emmer, Università degli Studi "La Sapienza", Matematica e cultura 2002 Roma, Italia (Ed.) Roma, Italia (Ed.) matematica e cultura 2004 L’opera è il risultato del convegno “Matematica e matematica e cultura 2000 Cultura” tenutosi a Venezia nel marzo 2001. Si parla di fumetti nel libro del 2004 con quella L’opera è frutto del convegno “Matematica e che sta diventando una tradizione con il Cultura” organizzato a Venezia nel Marzo 1999. 2002. VIII, 276 pagg. (Matematica e cultura) fumetto stile Disney del 2003 e del grafico Cartonato olandese Maurits Cornelis Escher, anzi si 2000. VIII, 342 pagg. (Matematica e cultura) ISBN 7 978-88-470-0154-1 “vedono” alcune delle immagini che sono state realizzate in animazione. Cartonato List price ISBN 7 978-88-470-0102-2 7 € 25,00 | £19.00 2004. VIII, 254 pagg. 164 figg., 14 a colori. 7 * € (D) 26,75 | € (A) 27,50 | sFr 44,00 List price (Matematica e cultura) Cartonato 7 € 20,14 | £15.50 Sale price ISBN 7 978-88-470-0291-3 7 * € (D) 21,55 | € (A) 22,15 | sFr 35,50 7 € 19,95 | £17.99 List price 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 Sale price 7 € 25,91 | £20.00 7 € 14,95 | £13.99 7 * € (D) 27,73 | € (A) 28,50 | sFr 45,50 7 * € (D) 16,00 | € (A) 16,45 | sFr 23,50 9 Sale price 9 7 € 19,95 | £17.99 97 * € (D) 21,35 | € (A) 21,95 | sFr 31,00

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M. Emmer, Università degli Studi La Sapienza, M. Emmer, Università degli Studi "La Sapienza", L. Giuzzi, Politecnico di Bari, Italia Roma, Italia (Ed.) Roma, Italy; M. Manaresi, Università degli Studie di Codici correttori matematica e cultura 2006 Bologna, Italy (Eds.) matematica, arte, tecnologia, Un'introduzione Il volume prova a descrivere influenze e legami Il libro è destinato agli studenti del 2° e 3° anno esistenti tra il mondo della matematica e quello cinema di un corso di laurea di primo livello in dell’aeronautica, della medicina, della biologia, Il volume è il risultato del congresso che si è Matematica, Fisica, Ingegneria. ma anche dell’arte, del cinema, del teatro, della tenuto a Bologna nell’ottobre 2000 che ha voluto letteratura o della storia. riunire alcuni esperti nell’uso delle immagini. 2006. XIV, 402 pagg. (UNITEXT / La Matematica per il 3+2) Brossura 2006. VIII, 300 pagg. (Matematica e cultura) 2002. XIV, 285 pagg. (Matematica e cultura) ISBN 7 978-88-470-0539-6 Cartonato Cartonato List price ISBN 7 978-88-470-0464-1 ISBN 7 978-88-470-0155-8 7 € 27,84 | £22.99 List price List price 7 * € (D) 29,79 | € (A) 30,62 | sFr 46,50 7 € 28,80 | £22.00 7 € 21,11 | £16.00 Sale price 7 * € (D) 30,81 | € (A) 31,68 | sFr 50,50 7 * € (D) 22,58 | € (A) 23,22 | sFr 37,00 7 € 19,95 | £17.99 Sale price Sale price 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 7 € 19,95 | £17.99 7 € 14,95 | £13.99 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 7 * € (D) 16,00 | € (A) 16,45 | sFr 23,50 9 9 9 M. Impedovo, Università Bocconi, Milano, Italia Matematica generale con il M. Emmer, Università degli Studi "La Sapienza", G. Gaeta, Università di Milano, Italy Roma (Ed.) calcolatore Modelli Matematici in Biologia matematica e cultura 2007 Lo scopo è quello di illustrare i modelli più Questo testo si indirizza prima di tutto agli importanti di un corso di matematica generale. Dopo dieci anni, quella che sembrava una idea studenti delle Lauree Specialistiche in Biologia improvvisata, senza un grande futuro, e’ delle Università, ma sarà di interesse anche per 1a ed. 2004. 2a stampa 2008 2008. IX, 527 pagg. divenuta una occasione di interesse e fascina- studenti di Scienze Naturali e Medicina. (UNITEXT / La Matematica per il 3+2) Brossura zione, che continuerà finché ci sarà qualcuno ISBN 7 978-88-470-0258-6 che ne sarà ancora sedotto. 2007. XIV, 304 pagg. Brossura ISBN 7 978-88-470-0691-1 List price 2007. VIII, 328 pagg. (Matematica e cultura) 7 € 34,57 | £27.99 Cartonato List price 7 * € (D) 36,99 | € (A) 38,03 | sFr 57,50 ISBN 7 978-88-470-0630-0 7 € 24,04 | £19.99 7 * € (D) 25,72 | € (A) 26,44 | sFr 40,00 Sale price List price 7 € 22,95 | £20.99 7 € 35,53 | £28.99 Sale price 7 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 7 * € (D) 38,02 | € (A) 39,08 | sFr 59,00 7 € 16,95 | £15.99 7 * € (D) 18,14 | € (A) 18,65 | sFr 26,50 Sale price 9 7 € 22,95 | £20.99 9 97 * € (D) 24,56 | € (A) 25,25 | sFr 36,00

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S. Leonesi, C. Toffalori, Università di Camerino, Italia D. Luminati, I. Tamanini, Università di Trento, Italia M. Manaresi, Università di Bologna, Italia (Ed.) Numeri e Crittografia (Eds.) Matematica e cultura in Europa matetrentino Il testo si rivolge principalmente a studenti di Questo volume, che documenta le attività realiz- Matematica, Informatica o Ingegneria percorsi matematici a Trento e dintorni zate a Bologna nel 2004 nell’ambito del progetto interessati a corsi di crittografia. Questo libro e la mostra che esso racconta europeo Mathematics in Europe, è rivolto a tutti nascono dal desiderio di comunicare quanto coloro che hanno curiosità per la matematica, 2006. XII, 178 pagg. (UNITEXT / La Matematica per possa essere bella e interessante una disciplina ma anche per il teatro, il cinema, la letteratura, il 3+2) Brossura come la matematica e di avvicinare ad essa il la scienza. ISBN 7 978-88-470-0331-6 “visitatore” curioso. 2005. XII, 410 pagg. Con DVD. Brossura List price ISBN 7 978-88-470-0346-0 7 € 26,88 | £21.99 2006. XII, 156 pagg. Brossura 7 * € (D) 28,76 | € (A) 29,57 | sFr 45,00 ISBN 7 978-88-470-0473-3 List price 7 € 28,80 | £22.00 Sale price List price 7 * € (D) 30,81 | € (A) 31,68 | sFr 50,50 7 € 19,95 | £17.99 7 € 22,07 | £17.00 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 7 * € (D) 23,61 | € (A) 24,28 | sFr 38,50 Sale price Sale price 7 € 19,95 | £17.99 9 7 € 14,95 | £13.99 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 7 * € (D) 16,00 | € (A) 16,45 | sFr 23,50 9 S. Leonesi, C. Toffalori, Università di Camerino, Italia 9 Un invito all'Algebra S. Margarita, Università di Torino, Italia; E. Salinelli, L’opera è un libro di testo, rivolto agli studenti A. Machì, Università La Sapienza, Roma, Italia Università del Piemonte Orientale, Novara, Italia universitari che devono affrontare il corso di MultiMath algebra e matematica discreta. Gruppi Una introduzione a idee e metodi della Teoria dei Matematica Multimediale per l'Università 2006. XVII, 432 pagg. (UNITEXT / La Matematica per Gruppi Questo CD-ROM fornisce una presentazione il 3+2) Brossura Un aspetto essenziale del libro è la presenza di multimediale degli argomenti tipici di un corso ISBN 7 978-88-470-0313-2 una grande varietà di esercizi, circa 400, in gran di matematica del primo anno del triennio List price parte risolti. universitario. 7 € 28,80 | £22.99 7 * € (D) 30,81 | € (A) 31,68 | sFr 48,00 2007. XII, 350 pagg. (UNITEXT / La Matematica per 1a ed. 2003. 2a ristampa corretta 2008. XVIII, il 3+2) Brossura 269 pagg. Con CD-ROM. (UNITEXT / La Matematica Sale price ISBN 7 978-88-470-0622-5 per il 3+2) Brossura 7 € 19,95 | £17.99 ISBN 7 978-88-470-0228-9 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 List price 7 € 28,80 | £25.99 List price 9 7 * € (D) 30,81 | € (A) 31,68 | sFr 45,00 7 € 34,57 | £27.99 7 * € (D) 36,99 | € (A) 38,03 | sFr 57,50 Sale price 7 € 19,95 | £17.99 Sale price 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 7 € 22,95 | £20.99 9 97 * € (D) 24,56 | € (A) 25,25 | sFr 36,00

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A. Quarteroni, École Polytéchnique Fédérale de G. Riccardi, Università di Napoli, Italia E. Rosazza Gianin, Università di Napoli, Italia; Lausanne, La Svizzera; F. Saleri, Politecnico di Calcolo differenziale ed C. Sgarra, Politecnico di Milano, Italia Milano, Italia integrale Esercizi di finanza matematica CÁLCULO CIENTÍFICO com Questa è una raccolta di esercizi che illustra MATLAB e Octave Gli argomenti sono trattati in modo non formale e direttamente orientato alle applica- alcuni aspetti fondamentali della Finanza zioni. Matematica, in particolare della valutazione dei 1a ed. 2007. 2nda stampata 2008. XX, 330 p. derivati. Softcover 2004. XII, 312 pagg. (UNITEXT / La Matematica per ISBN 7 978-88-470-0717-8 il 3+2) Brossura 2007. IX, 184 pagg. (UNITEXT / La Matematica per ISBN 7 978-88-470-0285-2 il 3+2) Brossura List price ISBN 7 978-88-470-0610-2 7 € 32,69 | £29.99 List price 7 * € (D) 34,98 | € (A) 35,97 | sFr 51,00 7 € 23,08 | £18.99 List price 7 * € (D) 24,69 | € (A) 25,39 | sFr 38,50 7 € 26,88 | £21.99 Sale price 7 * € (D) 28,76 | € (A) 29,57 | sFr 45,00 7 € 16,95 | £15.99 Sale price 7 * € (D) 18,14 | € (A) 18,65 | sFr 26,50 7 € 16,95 | £15.99 Sale price 7 * € (D) 18,14 | € (A) 18,65 | sFr 26,50 7 € 19,95 | £17.99 9 9 97 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 A. Quarteroni, École Polytéchnique Fédérale de Lausanne, La Svizzera; F. Saleri, Politecnico di L. Robbiano, Università di Genova, Italia Milano, Italia Algebra lineare Cálculo Científico con MATLAB y per tutti Octave Il volume è dedicato a tutti gli studenti delle Facoltà scientifiche che debbano affrontare 2006. XII, 329 p. Softcover l'esame di Algebra lineare ISBN 7 978-88-470-0503-7 2007. XV, 200 pagg. (UNITEXT / La Matematica per List price il 3+2) Brossura 7 € 33,95 | £26.99 ISBN 7 978-88-470-0446-7 7 * € (D) 36,33 | € (A) 37,35 | sFr 56,50 List price Sale price 7 € 26,88 | £21.99 7 € 16,95 | £15.99 7 * € (D) 28,76 | € (A) 29,57 | sFr 45,00 7 * € (D) 18,14 | € (A) 18,65 | sFr 26,50 Sale price 9 7 € 19,95 | £17.99 97 * € (D) 21,35 | € (A) 21,95 | sFr 31,00

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German Titles F. Bornemann, TU München; D. Laurie, University M. Griebel, Universität Bonn; S. Knapek, TWS Part- of Stellenbosch, South Africa; S. Wagon, Macalester ners GmbH, München; G. Zumbusch, Universität College, USA; J. Waldvogel, ETH Zürich Jena; A. Caglar V. I. Arnold, Steklov Mathematical Institute, Vom Lösen numerischer Numerische Simulation in der Moscow, Russia Probleme Moleküldynamik Gewöhnliche Ein Streifzug entlang der "SIAM 10x10-Digit Numerik, Algorithmen, Parallelisierung, Differentialgleichungen Challenge" Anwendungen Ein erstklassiges Lehrbuch zum Thema Packender Streifzug durch die leistungsfä- Das Lehrbuch führt in die wichtigsten Gewöhnliche Differentialgleichungen, higsten Bereiche der zeitgenössischen nume- Simulationstechniken zur numerischen geschrieben von einem der herausragenden rischen Mathematik. Die Route orientiert Behandlung der Newtonschen Bewegungs- Mathematiker dieses Jahrhunderts. Das sich an der "SIAM 10 x 10-Digit Challenge". gleichungen ein. Der Schwerpunkt liegt hierbei Lehrbuch zeichnet sich durch eine geometri- 2002 forderte Nick Trefethen (Oxford) damit auf der schnellen Auswertung kurz- und sche Betrachtungsweise aus und fördert damit Kollegen und Doktoranden weltweit heraus... langreichweitiger Kräfte mittels Linked das Verständnis der Zusammenhänge. Eine Cell-P3M-, Baum- und Multipol-Verfahren exzellente Didaktik und geschickt gewählte 2006. XVI, 381 S. 56 Abb., 3 in Farbe. sowie deren paralleler Implementierung und Übungsaufgaben unterstützen das Lernen und (Springer-Lehrbuch Masterclass) Brosch. Lastbalancierung auf Rechensystemen mit Arbeiten. ISBN 7 978-3-540-34114-7 verteiltem Speicher. List price 2. Aufl. 2001. XII, 344 S. 272 Abb. 2004. XII, 480 S. (Springer-Lehrbuch) Brosch. 7 € 32,66 | £25.99 (Springer-Lehrbuch) Brosch. ISBN 7 978-3-540-41856-6 7 * € (D) 34,95 | € (A) 35,93 | € (A) | sFr 54,50 ISBN 7 978-3-540-66890-9 List price Sale price List price 7 € 32,66 | £25.99 7 € 18,64 | £16.99 7 € 26,12 | £23.99 7 * € (D) 34,95 | € (A) 35,93 | € (A) | sFr 54,50 7 * € (D) 19,95 | € (A) 20,51 | sFr 29,00 7 * € (D) 27,95 | € (A) 28,73 | € (A) | sFr 41,00 Sale price Sale price 9 7 € 18,64 | £16.99 7 € 18,64 | £16.99 7 * € (D) 19,95 | € (A) 20,51 | sFr 29,00 7 * € (D) 19,95 | € (A) 20,51 | sFr 29,00 9 9 J. Eschenburg, Universität Augsburg; J. Jost, Max- Planck-Institut für Mathematik in den Naturwissen- schaften, Leipzig J. Jost, Max-Planck-Institut für Mathematik in den V. I. Arnold, Steklov Mathematical Institute, Differentialgeometrie und Naturwissenschaften, Leipzig Moscow, Russia Minimalflächen Partielle Vorlesungen über partielle Hier wird zum ersten Mal Studenten eines Differentialgleichungen Differentialgleichungen Anfängerkurses in Differenzialgeometrie die Theorie der Minimalflächen zugänglich Elliptische (und parabolische) Gleichungen Nach seinem bekannten Werk über Gewöhn- gemacht. Das Buch bleibt dabei auf das Dieses Lehrbuch bietet eine Einführung in die liche Differentialgleichungen widmet sich der Wesentliche beschränkt, ist immer gut lesbar moderne Theorie der partiellen Differential- berühmte Mathematiker Vladimir Arnold in und ausführlich motiviert. Für die Neuauflage gleichungen. Der Leser wird zu den wichtigen seinem neuen Lehrbuch nun den partiellen wurde der Text in Zusammenarbeit mit Methoden und den wesentlichen Aussagen Differentialgleichungen. Wie alle Bücher J.-H. Eschenburg überarbeitet und aktualisiert. in diesem Bereich hingeführt, wobei der Arnolds ist auch dieses voller geometrischer J. Jost ist seit 1993 Träger des Leibniz-Förder- Schwerpunkt auf den elliptischen partiellen Erkenntnisse. Jeder Grundsatz wird mit einer preises, der an herausragende Wissenschaftler Differentialgleichungen liegt. Abbildung illustriert. vergeben wird. 1998. XI, 291 S. 12 Abb. 2004. X, 174 S. (Springer-Lehrbuch) Brosch. 2., vollständig überarb. u. erw. Aufl. 2007. XVI, 256 S. (Springer-Lehrbuch Masterclass) Brosch. ISBN 7 978-3-540-43578-5 105 Abb. (Springer-Lehrbuch Masterclass) Brosch. ISBN 7 978-3-540-64222-0 ISBN 7 978-3-540-22227-9 List price List price 7 € 30,79 | £27.99 List price 7 € 36,40 | £32.99 7 * € (D) 32,95 | € (A) 33,88 | € (A) | sFr 48,00 7 € 27,99 | £22.99 7 * € (D) 38,95 | € (A) 40,04 | € (A) | sFr 56,50 7 * € (D) 29,95 | € (A) 30,80 | € (A) | sFr 46,50 Sale price Sale price 7 € 18,64 | £16.99 Sale price 7 € 18,64 | £16.99 7 * € (D) 19,95 | € (A) 20,51 | sFr 29,00 7 € 18,64 | £16.99 7 * € (D) 19,95 | € (A) 20,51 | sFr 29,00 9 97 * € (D) 19,95 | € (A) 20,51 | sFr 29,00 9

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C. Kanzow, Universität Würzburg M. Koecher, A. Krieg, Rheinisch-Westfälische Tech- H. Petsche, Potsdam Numerik linearer nische Hochschule, Aachen Graßmann Elliptische Funktionen und Gleichungssysteme: Direkte Hermann Graßmann, Gymnasiallehrer in und iterative Verfahren Modulformen Stettin und bekannt als Begründer der n-dimen- sionalen Vektoralgebra, erwarb sich auch in der Dieses Buch gibt eine umfassende Darstellung Den Autoren gelingt ein Brückenschlag von den Physik und der Sprachforschung bleibende der wichtigsten Verfahren zur numerischen Grundlagen zur aktuellen Forschung. Ausge- Verdienste. Gestützt auf die Dialektik Schleier- Lösung von linearen Gleichungssystemen. hend von den Weierstraßschen Arbeiten machers entwickelte er in seinem Hauptwerk, Es benötigt zum Verständnis nur sehr geringe behandeln sie elliptische Kurven und komplexe der Ausdehnungslehre, mit philosophischer mathematische Vorkenntnisse, wie sie meist Multiplikation. Der Teil über elliptische Methode eine völlig neue mathematische schon nach einem einsemestrigen Kurs in Modulformen ist auch separat lesbar. Erstmals Disziplin. Sein Werk wurde Jahrzehnte später einem mathematischen oder ingenieurwissen- in Lehrbuchform wird ein Beweis des Siegel- als wegweisend gefeiert. schaftlichen Studiengang vorliegen. schen Hauptsatzes für elliptische Modulformen gegeben. Mit ausführlichen Beweisen und 2006. XXII, 326 S. 47 Abb. 2005. XIII, 349 S. 39 Abb. (Springer-Lehrbuch) zahlreiche Übungsaufgaben. (Vita Mathematica, Volume 13) Geb. Brosch. ISBN 7 978-3-7643-7257-6 ISBN 7 978-3-540-20654-5 2., überarb. Aufl. 2007. VIII, 331 S. 26 Abb. (Springer-Lehrbuch Masterclass) Brosch. List price List price ISBN 7 978-3-540-49324-2 7 € 54,21 | £42.99 7 € 41,07 | £36.99 7 € (D) 58,00 | € (A) 59,63 | *sFr 88,00 7 * € (D) 43,95 | € (A) 45,18 | € (A) | sFr 64,00 List price 7 € 37,34 | £29.99 Sale price Sale price 7 * € (D) 39,95 | € (A) 41,07 | € (A) | sFr 62,00 7 € 27,99 | £27.99 7 € 18,64 | £16.99 7 * € (D) 29,95 | € (A) 30,79 | sFr 43,50 7 * € (D) 19,95 | € (A) 20,51 | sFr 29,00 Sale price 7 € 18,64 | £16.99 7 * € (D) 19,95 | € (A) 20,51 | sFr 29,00 9 9 9 H. Scheid, A. Frommer P. Knabner, L. Angermann Zahlentheorie Numerik partieller S. Larsson, V. Thomée, Chalmers University of Differentialgleichungen Technology, Göteborg, Sweden Die Zahlentheorie beschäftigt sich mit den Eigenschaften der natürlichen Zahlen 1, 2, 3, ... Eine anwendungsorientierte Einführung Partielle Differential- Viele ihrer Problemstellungen, wie z. B. das Einführung in Diskretisierungsmethoden für gleichungen und numerische Primzahlzwillingsproblem oder die berühmte partielle Differentialgleichungen: Im Mittel- Methoden Fermat'sche Vermutung, lassen sich in punkt steht das Finite-Element-Verfahren. allgemeinverständlicher Form angeben, zu ihrer Ebenso vertreten sind Finite-Differenzen- und Übersetzt aus dem Englischen von Behandlung benötigt man aber meistens Finite-Volumen-Verfahren. Basierend auf einer M. Krieger-Hauwede anspruchsvolle Methoden der Algebra und der mathematisch präzisen Darstellung von Das Buch ist für Studenten der angewandten Analysis. Verfahren und ihrer Theorie spannt das Buch Mathematik und der Ingenieurwissenschaften den Bogen bis hin zur Finite-Element-Imple- auf Vordiplomniveau geeignet. Der Schwer- 4. Aufl. 2006. VIII, 512 S. Geb. mentierung. Einführung in moderne Entwick- punkt liegt auf der Verbindung der Theorie ISBN 7 978-3-8274-1692-6 lungen wie Multilevel- oder adaptive Verfahren. linearer partieller Differentialgleichungen mit List price Das Spektrum reicht von linearen elliptischen der Theorie finiter Differenzenverfahren und 7 € 51,40 | £40.99 Randwertaufgaben bis hin zu nichtlinearen der Theorie der Methoden finiter Elemente. 7 * € (D) 55,00 | € (A) 56,54 | € (A) | sFr 85,50 parabolischen Problemen. 2005. XII, 272 S. (Springer-Lehrbuch Masterclass) Sale price 2000. XII, 365 S. 40 Abb. Brosch. 7 € 27,99 | £25.99 (Springer-Lehrbuch Masterclass) Brosch. ISBN 7 978-3-540-20823-5 7 * € (D) 29,95 | € (A) 30,79 | sFr 43,50 ISBN 7 978-3-540-66231-0 List price List price € 37,34 | £29.99 9 7 7 € 36,40 | £32.99 7 * € (D) 39,95 | € (A) 41,07 | € (A) | sFr 62,00 7 * € (D) 38,95 | € (A) 40,04 | € (A) | sFr 56,50 Sale price Sale price 7 € 18,64 | £16.99 7 € 18,64 | £16.99 7 * € (D) 19,95 | € (A) 20,51 | sFr 29,00 97 * € (D) 19,95 | € (A) 20,51 | sFr 29,00 9

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L. Ambrosio, N. Gigli, Scuola Normale Superiore, H. Antia, Tata Institute of Fundamental Research, D. Bachman, Pitzer College, Claremont, CA, USA Pisa, Italy; G. Savaré, University of Pavia, Italy Mumbai, India A Geometric Approach to Gradient Flows Numerical Methods for Differential Forms Scientists and Engineers In Metric Spaces and in the Space of Probability This text presents differential forms from a Measures This book presents an exhaustive and in-depth geometric perspective accessible at the under- This book is devoted to a theory of gradient exposition of the various numerical methods graduate level. The book begins with basic flows in spaces which are not necessarily used in scientific and engineering computations. concepts such as partial differentiation and endowed with a natural linear or differentiable It emphasises the practical aspects of numerical multiple integration and gently develops the structure. The book originates from lectures by computation and discusses various techniques in entire machinery of differential forms. L. Ambrosio at the ETH Zürich in Fall 2001 sufficient detail to enable their implementation and contains new results. in solving a wide range of problems. 2006. XVI, 133 p. 39 illus. Softcover ISBN 7 978-0-8176-4499-4 2nd ed. 2008. VII, 334 p. (Lectures in Mathematics. 2nd ed. 2002. XXII, 842 p. With CD-ROM. List price ETH Zürich) Softcover Hardcover 7 € 39,95 | £35.99 ISBN 7 978-3-7643-8721-1 ISBN 7 978-3-7643-6715-2 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 List price List price Sale price 7 € 39,90 | £35.99 7 € 49,00 | £38.99 7 € 19,95 | £17.99 7 * € (D) 42,69 | € (A) 43,89 | sFr 69,90 7 * € (D) 52,43 | € (A) 53,90 | sFr 86,00 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 Sale price Sale price 7 € 26,95 | £24.99 7 € 24,95 | £22.99 9 97 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 9 L. Barreira, Universidade Tecnica Lisboa, Portugal Dimension and Recurrence in T. Andreescu, The University of Texas at Dallas, Rich- M. Audin, Université Louis Pasteur et CNRS, Hyperbolic Dynamics ardson, TX, USA; Z. Feng, Phillips Exeter Academy, Strasbourg, France This book offers a broad unified introduction to Exeter, USA Torus Actions on Symplectic the study of dimension and recurrence in 103 Trigonometry Problems Manifolds hyperbolic dynamics. It examines the interplay of four main areas of research: hyperbolic From the Training of the USA IMO Team The material and references in this extended dynamics, dimension theory, multifractal This book contains 103 highly selected problems second edition of "The Topology of Torus analysis, and quantitative recurrence. used in the training and testing of the USA Actions on Symplectic Manifolds", published as International Mathematical Olympiad (IMO) Volume 93 in this series in 1991, have been 2008. XIV, 300 p. (Progress in Mathematics, team. It is not a collection of very difficult, updated. Symplectic manifolds and torus actions Volume 272) Hardcover impenetrable questions. Instead, the book are investigated, with numerous examples of ISBN 7 978-3-7643-8881-2 gradually builds students' trigonometric skills torus actions, for instance on some moduli List price and techniques. This work aims to broaden spaces. Although the book is still centered on 7 € 49,90 | £44.99 students' view of mathematics and better prepare convexity results, it contains much more 7 * € (D) 53,39 | € (A) 54,89 | sFr 89,90 them for possible participation in various material, in particular lots of new examples and mathematical competitions. It provides in-depth exercises. Sale price enrichment in important areas of trigonometry 7 € 32,95 | £29.99 by reorganizing and enhancing students' 2nd revised ed. 2004. VIII, 325 p. (Progress in 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 problem-solving tactics and strategies. Mathematics, Volume 93) Hardcover ISBN 7 978-3-7643-2176-5 9 2005. XII, 214 p. Softcover List price ISBN 7 978-0-8176-4334-8 7 € 79,95 | £72.00 List price 7 * € (D) 85,55 | € (A) 87,95 | sFr 129,00 7 € 36,95 | £27.99 Sale price 7 * € (D) 39,54 | € (A) 40,65 | sFr 57,50 7 € 44,95 | £40.99 Sale price 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 7 € 19,95 | £17.99 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 9 9

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N. Bellomo, Politecnico di Torino, Italy; M. Chaplain, A. N. Borodin, Steklov Mathematical Institute, O. Christensen, Technical University of Denmark, University of Dundee, Scotland; E. De Angelis, St. Petersburg, Russia; P. Salminen, Abo Akademi Lyngby, Denmark Politecnico di Torino, Italy (Eds.) University, Turku, Finland Frames and Bases Selected Topics in Cancer Handbook of Brownian Motion – An Introductory Course Modeling Facts and Formulae Based on a streamlined presentation of the Genesis, Evolution, Immune Competition, and Here is easy reference to a wealth of facts and author’s successful work, An Introduction to Therapy formulae associated with Brownian motion, Frames and Riesz Bases, this new textbook This collection of selected chapters is written by collecting in one volume more than 2500 develops frame theory as part of a dialogue first-rate researchers in the field of mathematical numbered formulae. The book serves as a basic between mathematicians and engineers. biology. It offers a comprehensive overview of reference for researchers, graduate students, and state-of-the-art mathematical methods and tools people doing applied work with Brownian 2008. XVIII, 313 p. 14 illus. (Applied and Numerical for modeling and analyzing cancer phenomena. motion and diffusions, and can be used as a Harmonic Analysis) Hardcover source of explicit examples when teaching ISBN 7 978-0-8176-4677-6 stochastic processes. 2008. XVI, 473 p. 140 illus. (Modeling and Simulation List price in Science, Engineering and Technology) Hardcover 7 € 39,90 | £35.99 2nd ed. 2002. XV, 672 p. (Probability and its ISBN 7 978-0-8176-4712-4 7 * € (D) 42,69 | € (A) 43,89 | sFr 69,90 Applications) Hardcover List price ISBN 7 978-3-7643-6705-3 Sale price 7 € 79,90 | £72.00 7 € 26,95 | £24.99 List price 7 * € (D) 85,49 | € (A) 87,89 | sFr 139,00 7 * € (D) 28,84 | € (A) 29,65 | sFr 42,00 7 € 139,00 | £125.00 Sale price 7 * € (D) 148,73 | € (A) 152,90 | sFr 219,00 7 € 49,95 | £44.99 9 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 Sale price 7 € 84,95 | £76.99 7 * € (D) 90,90 | € (A) 93,45 | sFr 13,20 9 D. L. Cohn 9 Measure Theory M. Bohner, University of Missouri-Rolla, Rolla, MO, From the reviews 7 The author aims to present 'a USA; A. Peterson, University of Nebraska, Lincoln, straightforward treatment of the part of measure M. Chipot, University of Zurich, Switzerland NE, USA theory necessary for analysis and probability' Dynamic Equations on Time Elements of Nonlinear Analysis assuming only basic knowledge of analysis and topology...Each chapter includes numerous Scales From the reviews 7This book covers some of the well-chosen exercises, varying from very routine An Introduction with Applications main aspects of nonlinear analysis. It concentrates practice problems to important extensions and on stressing the fundamental ideas instead of developments of the theory; for the difficult ones Key features 7 Introduction to measure chain elaborating on the intricacies of the more esoteric there are helpful hints. It is the reviewer's opinion theory 7 Many classical formulas or procedures ones…it encompass[es] many methods of that the author has succeeded in his aim. In spite for differential and difference equations cast in a dynamical systems in quite simple and original of its lack of new results, the selection and new light 7 New analogues of many of the settings. I recommend this book to anyone presentation of materials makes this a useful book "special functions" studied 7 Examination of the interested in the main and essential concepts of for an introduction to measure and integration properties of the "exponential function" nonlinear analysis as well as the relevant theory. 7 Mathematical Reviews on time scales, which can be defined and methodologies and applications. investigated 7 Mathematical Reviews 1980. 388 p. Hardcover ISBN 7 978-0-8176-3003-4 2001. X, 358 p. Hardcover 2000. VII, 256 p. (Birkhäuser Advanced Texts / Basler List price ISBN 7 978-0-8176-4225-9 Lehrbücher) Hardcover 7 € 49,95 | £44.99 ISBN 7 978-3-7643-6406-9 List price 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 € 66,95 | £59.99 List price Sale price 7 * € (D) 71,64 | € (A) 73,65 | sFr 104,00 7 € 49,95 | £44.99 7 € 29,95 | £26.99 7 * € (D) 53,45 | € (A) 54,95 | sFr 79,90 Sale price 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 7 € 39,95 | £35.99 Sale price 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 7 € 29,95 | £26.99 9 9 97 * € (D) 32,05 | € (A) 32,95 | sFr 46,50

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G. Darvas, Hungarian Academy of Sciences, M. P. do Carmo, Instituto de Matematica Pura e S. G. Gal, University of Oradea, Romania Budapest, Hungary Aplicada (IMPA), Rio de Janeiro, Brazil Shape-Preserving Symmetry Riemannian Geometry Approximation by Real and Cultural-historical and Ontological Aspects of Translated by F. Flaherty, Oregon State University, Complex Polynomials Science-Arts Relations; the Natural and Man- Corvallis, OR, USA Consulting editor: G. A. Anastassiou, made World in an Interdisciplinary Approach Riemannian Geometry is a new and expanded The University of Memphis, TN, USA The first comprehensive book on the topic in edition of a highly acclaimed and successful This monograph presents the first comprehen- half a century explores recent symmetry – and textbook for first-year graduate students in sive treatment in book form of shape-preserving symmetry breaking – related discoveries, and mathematics and physics. The author's approximation by real or complex polynomials discusses the questions and answers they raise treatment goes very directly to the basic in one or several variables. Such approximation in diverse disciplines: particle and high-energy language of Riemannian geometry and methods are useful in many problems that arise physics, structural chemistry and the biochem- immediately presents some of its most in science and engineering and require an istry of proteins, in genetic code study, in brain fundamental theorems. It is elementary, making optimal mathematical representation of physical research, and also in architectural structures, it suitable for a wide variety of students and reality. and business decision making, to mention only course structures. a few examples. 2008. XIII, 352 p. Hardcover 1992. XVI, 300 p. 53 illus. (Mathematics: Theory & ISBN 7 978-0-8176-4702-5 2007. XI, 508 p. 420 illus., 66 in color. Softcover Applications) Hardcover ISBN 7 978-3-7643-7554-6 ISBN 7 978-0-8176-3490-2 List price 7 € 64,90 | £58.99 List price List price 7 * € (D) 69,44 | € (A) 71,39 | sFr 115,00 7 € 59,90 | £47.99 7 € 39,95 | £35.99 7 * € (D) 64,09 | € (A) 65,89 | sFr 105,00 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 Sale price 7 € 39,95 | £35.99 Sale price Sale price 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 7 € 29,95 | £26.99 7 € 22,95 | £20.99 97 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 97 * € (D) 24,56 | € (A) 25,25 | sFr 36,00 9

C. Heij, Erasmus University Rotterdam, The Nether- lands; A. C. Ran, F. v. Schagen, Vrije Universiteit P. J. Davis, R. Hersh, E. A. Marchisotto P. Drábek, University West Bohemia, Plzen, Czech Amsterdam, The Netherlands The Mathematical Experience, Republic; J. Milota, Charles University Prague, Czech Republic Introduction to Mathematical Study Edition Methods of Nonlinear Analysis Systems Theory Introduction by G. Rota Applications to Differential Equations Linear Systems, Identification and Control From the reviews 7 This is a people-centered In this book, the basic methods of nonlinear This book provides an introduction to the book about mathematics, and as such it provides analysis are emphasized and illustrated in theory of linear systems and control for students an opportunity to explore fundamental issues simple examples. Every considered method is in business mathematics, econometrics, that are typically absent from the experience of motivated, explained in a general form but in computer science, and engineering. The focus is most college and university students (as well as the simplest possible abstract framework. on discrete time systems, which are the most their teachers). This new edition provides an relevant in business applications. excellent initiation of students into some of the 2007. XII, 568 p. 78 illus. (Birkhäuser Advanced Texts / more challenging aspects of mathematics…The Basler Lehrbücher) Hardcover 2007. VII, 166 p. With CD-ROM. Softcover study edition of The Mathematical Experience ISBN 7 978-3-7643-8146-2 ISBN 7 978-3-7643-7548-5 will help its readers acquire a real understanding List price of mathematics. 7 Notices of the AMS List price 7 € 69,90 | £55.99 7 € 39,95 | £35.99 7 * € (D) 42,75 | € (A) 43,95 | sFr 64,90 1995. XXI, 487 p. 172 illus. Hardcover 7 * € (D) 74,79 | € (A) 76,89 | sFr 119,00 ISBN 7 978-0-8176-3739-2 Sale price Sale price 7 € 19,95 | £17.99 List price 7 € 42,95 | £38.99 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 7 € 44,95 | £39.99 7 * € (D) 45,96 | € (A) 47,25 | sFr 67,00 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 9 9 Sale price 7 € 24,95 | £22.99 97 * € (D) 26,70 | € (A) 27,45 | sFr 39,00

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R. Hotta, Okayama University of Science, Okayama, I. Kleiner, York University, Toronto, ON, Canada S. G. Krantz, American Institute of Mathematics, Palo Japan; K. Takeuchi, University of Tsukuba, Japan; A History of Abstract Algebra Alto, CA, USA; H. R. Parks, Oregon State University, T. Tanisaki, Osaka City University, Osaka, Japan Corvallis, OR, USA D-Modules, Perverse Sheaves, This book explores the history of abstract Geometric Integration Theory algebra. It shows how abstract algebra has arisen and Representation Theory in attempting to solve some of these classical This self-contained and accessible textbook Translated by K. Takeuchi, University of Tsukuba, problems, providing a context from which the introduces geometric measure theory through Japan reader may gain a deeper appreciation of the the notion of currents. Motivating key ideas with mathematics involved. examples and figures, this book is a comprehen- This work examines in detail the foundations of sive introduction ideal for both self-study and D-module theory and its intersection with 2007. XVI, 168 p. 24 illus. Softcover for use in the classroom. perverse sheaves and representation theory. ISBN 7 978-0-8176-4684-4 Systematic and carefully written, this is a unique 2008. XIII, 339 p. 33 illus. (Cornerstones) Hardcover and essential textbook at the graduate level for List price ISBN 7 978-0-8176-4676-9 classroom use or self-study. 7 € 39,90 | £35.99 7 * € (D) 42,69 | € (A) 43,89 | sFr 65,00 List price 2008. XII, 412 p. 66 illus. (Progress in Mathematics, 7 € 54,90 | £49.99 Sale price Volume 236) Hardcover 7 * € (D) 58,74 | € (A) 60,39 | sFr 95,00 7 € 19,95 | £17.99 ISBN 7 978-0-8176-4363-8 7 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 Sale price List price 7 € 32,95 | £29.99 7 € 78,00 | £70.00 9 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 * € (D) 83,46 | € (A) 85,80 | sFr 128,00 Sale price 9 7 € 46,95 | £42.99 S. G. Krantz, Washington University, St. Louis, MO, 7 * € (D) 50,24 | € (A) 51,65 | sFr 73,00 USA; H. R. Parks, Oregon State University, Corvallis, OR, USA S. G. Krantz, H. R. Parks 9 A Primer of Real Analytic The Geometry of Domains in Functions Space

R. P. Kanwal From the reviews 7This is the second, improved From the reviews 7The book can be highly Linear Integral Equations edition of the only existing monograph devoted to recommended for graduate students as a real-analytic functions, whose theory is rightly comprehensive introduction to the field of From the reviews 7 This second edition of this considered in the preface 'the wellspring of geometric analysis. Also mathematicians working highly useful book continues the emphasis on mathematical analysis.' Organized in six parts, in other areas can profit a lot from this carefully applications and presents a variety of techniques [with] a very rich bibliography and an index, this written book. In particular, the geometric ideas with extensive examples...The book is ideal as a book is both a map of the subject and its history. are presented in a self-contained manner; for some text for a beginning graduate course. Its excellent Proceeding from the most elementary to the most of the needed analytic or measure-theoretic treatment of boundary value problems and an advanced aspects, it is useful for both beginners results, references are given. 7 ZAA up-to-date bibliography make the book equally and advanced researchers. 7 Mathematical useful for researchers in many applied fields. Reviews 1999. 328 p. (Birkhäuser Advanced Texts / Basler 7 MathSciNet 7 Bringing together results scattered in various Lehrbücher) Hardcover journals or books and presenting them in a clear ISBN 7 978-0-8176-4097-2 and systematic manner, the book is of interest first 2nd ed. 1996. 332 p. Hardcover List price of all for analysts, but also for applied mathemat- ISBN 7 978-0-8176-3940-2 7 € 64,90 | £51.99 icians and researchers in real algebraic geometry. 7 * € (D) 69,44 | € (A) 71,39 | sFr 115,00 List price 7 Acta Applicandae Mathematicae 7 € 79,95 | £72.00 Sale price 7 * € (D) 85,55 | € (A) 87,95 | sFr 124,50 2nd ed. 2002. XIII, 205 p. 5 illus. (Birkhäuser 7 € 39,95 | £35.99 Sale price Advanced Texts / Basler Lehrbücher) Hardcover 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 7 € 44,95 | £40.99 ISBN 7 978-0-8176-4264-8 7 * € (D) 48,10 | € (A) 49,45 | sFr 70,00 List price 9 7 € 74,95 | £67.99 9 7 * € (D) 80,20 | € (A) 82,45 | sFr 116,50 Sale price 7 € 44,95 | £40.99 97 * € (D) 48,10 | € (A) 49,45 | sFr 70,00

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S. Kumar, University of North Carolina, Chapel Hill, J. H. Kwak, S. Hong, Pohang University of Science S. Lynch, Manchester Metropolitan University, NC, USA and Technology, Pohang, Republic of South Korea Manchester, UK Kac-Moody Groups, their Flag Linear Algebra Dynamical Systems Varieties and Representation Linear algebra continues to be one of the most with Applications using Theory useful courses in undergraduate mathematics, Mathematica® science and engineering, providing essential This book provides an introduction to the From the reviews 7 Most of these topics appear tools for industrial scientists. This book gives a theory of dynamical systems with the aid of the here for the first time in book form. Many of them careful presentation of the basic concepts of Mathematica® computer algebra package. The are interesting even in the classical case of linear algebra as a coherent part of mathematics, book has a very hands-on approach and takes semi-simple algebraic groups. Some appendices and illustrates its practical power through a the reader from basic theory to recently recall useful results from other areas, so the work variety of interesting applications new to this published research material. may be considered self-contained, although some second edition. This treatment differs from familiarity with semi-simple Lie algebras or competitors in its emphasis and integration of 2007. XV, 484 p. 211 illus. Softcover algebraic groups is helpful. It is clear that this computational skills and mathematical ISBN 7 978-0-8176-4482-6 book is a valuable reference for all those abstractions. interested in flag varieties and representation This clean and elegant presentation requires List price theory in the semi-simple or Kac-Moody case. only a sound foundation in calculus. It is well 7 € 49,90 | £44.99 7 Mathematical Reviews balanced as a strong mathematical first course 7 * € (D) 53,39 | € (A) 54,89 | sFr 85,00 for well-prepared and motivated students or as Sale price 2002. 632 p. 86 illus. (Progress in Mathematics, an excellent second course in the theory and 7 € 24,95 | £22.99 Volume 204) Hardcover applications of linear algebra. 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 ISBN 7 978-0-8176-4227-3 2nd ed. 2004. XV, 390 p. 40 illus. Softcover List price ISBN 7 978-0-8176-4294-5 9 7 € 59,90 | £47.99 7 * € (D) 64,09 | € (A) 65,89 | sFr 105,00 List price 7 € 49,95 | £44.99 Sale price P. Mikusinski, M. D. Taylor, University of Central 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 7 € 34,95 | £31.99 Florida, Orlando, FL, USA 7 * € (D) 37,40 | € (A) 38,45 | sFr 54,50 Sale price 7 € 24,95 | £22.99 An Introduction to 9 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 Multivariable Analysis 9 From Vector to Manifold From the reviews 7This is a self-contained H. J. Kushner, Brown University, Providence, RI, USA textbook devoted to multivariable analysis based on nonstandard geometrical methods. The book Numerical Methods for A. Locatelli, Politecnico di Milano, Italy Controlled Stochastic Delay can be used either as a supplement to a course on Optimal Control single variable analysis or as a semester-long Systems An Introduction course introducing students to manifolds and The Markov chain approximation methods are differential forms.7 Mathematical Reviews widely used for the numerical solution of From the reviews 7 The style of the book reflects 7 The authors strongly motivate the abstract nonlinear stochastic control problems in the author’s wish to assist in the effective learning notions by a lot of intuitive examples and continuous time. This book extends the of optimal control by suitable choice of topics, pictures. The exercises at the end of each section methods to stochastic systems with delays. the mathematical level used, and by including range from computational to theoretical. The It is the first book on the subject. numerous illustrated examples. . . .In my view the book is highly recommended for undergraduate book suits its function and purpose, in that it or graduate courses in multivariable analysis for 2008. XX, 282 p. 37 illus. (Systems & Control: gives a student a comprehensive coverage of students in mathematics, physics, engineering, Foundations & Applications) Hardcover optimal control in an easy-to-read fashion. and economics. 7 Studia Universitatis Babes- ISBN 7 978-0-8176-4534-2 7 Measurement and Control Bolyai, Series Mathematica List price 2001. VIII, 294 p. Hardcover 2002. X, 295 p. 50 illus. Hardcover 7 € 54,90 | £49.99 ISBN 978-3-7643-6408-3 ISBN 7 978-0-8176-4234-1 7 * € (D) 58,74 | € (A) 60,39 | sFr 95,00 7 List price Sale price List price € 45,00 | £35.99 7 € 84,00 | £49.99 7 € 32,95 | £29.99 7 * € (D) 48,15 | € (A) 49,50 | sFr 72,00 7 * € (D) 89,88 | € (A) 92,40 | sFr 86,50 7 * € (D) 35,26 | € (A) 36,25 | sFr 51,50 7 Sale price Sale price 9 7 € 24,95 | £22.99 7 € 49,95 | £44.99 97 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 97 * € (D) 53,45 | € (A) 54,95 | sFr 77,50

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M. Moszynska, Warsaw University, Warsaw, Poland D. Ó Mathúna, Dublin Institute for Advanced G. Peskir, The University of Manchester, UK; Selected Topics in Convex Studies, Dublin, Ireland A. Shiryaev, Steklov Mathematical Institute, Moscow, Russia Geometry Integrable Systems in Celestial Mechanics Optimal Stopping and Free- The field of convex geometry has become a Boundary Problems fertile subject of mathematical activity in the This work presents a unified treatment of three past few decades. This book examines in detail important integrable problems relevant to both Disclosing a fascinating connection between those topics in convex geometry that are Celestial and Quantum Mechanics. Under optimal stopping problems in probability and concerned with Euclidean space. It is enriched discussion are the Kepler (two-body) problem free-boundary problems this comprehensive by numerous examples, illustrations, and and the (two-fixed center) problem, and book covers classic methods of solution and exercises, with a good bibliography and index. the Vinti (Earth-satellite) problems. The analysis more recent ones. Using minimal tools and key The book can be used in the classroom setting of these problems is shown to follow a definite examples the book exposes optimal stopping for graduates courses or seminars. Researchers shared pattern yielding exact forms for the problems at its basic principles. in pure and applied areas will also benefit from solutions and the work highlights shared features the book. in the unified treatment of the three problems. 2006. XXII, 500 p. (Lectures in Mathematics. ETH Zürich) Hardcover 2006. XVI, 226 p. 30 illus. With online files/ 2008. X, 234 p. 24 illus. (Progress in Mathematical ISBN 7 978-3-7643-2419-3 update. Softcover Physics, Volume 51) Hardcover List price ISBN 7 978-0-8176-4396-6 ISBN 7 978-0-8176-4096-5 7 € 49,95 | £44.99 List price List price 7 * € (D) 53,45 | € (A) 54,95 | sFr 79,90 7 € 48,00 | £37.99 7 € 69,90 | £62.99 Sale price 7 * € (D) 51,36 | € (A) 52,80 | sFr 78,00 7 * € (D) 74,79 | € (A) 76,89 | sFr 125,00 7 € 29,95 | £26.99 Sale price Sale price 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 7 € 24,95 | £22.99 7 € 42,95 | £38.99 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,00 7 * € (D) 45,96 | € (A) 47,25 | sFr 67,00 9 9 9 A. Pietsch, University of Jena, Germany History of Banach Spaces and T. Myint-U, Manhattan College, New York, NY, USA; V. Palamodov, Tel Aviv University, Israel Linear Operators L. Debnath, University of Texas Pan-American, Reconstructive Integral Edinburgh, TX, USA Geometry Written by a distinguished specialist in Linear Partial Differential functional analysis, this book presents a Equations for Scientists and This book covers facts and methods for the comprehensive treatment of the history of reconstruction of a function in a real affine or Banach spaces and (abstract bounded) linear Engineers projective space from data of integrals, operators. Banach space theory is presented as a This significantly expanded fourth edition is particularly over lines, planes, and spheres. part of a broad mathematics context, using tools designed as an introduction to the theory and Recent results stress explicit analytic methods. from such areas as set theory, topology, algebra, applications of linear PDEs. The authors provide Coverage includes the relations between combinatorics, probability theory, logic, etc. fundamental concepts, underlying principles, a algebraic integral geometry and partial Equal emphasis is given to both spaces and wide range of applications, and various methods differential equations. The first half of the book operators. The book may serve as a reference for of solutions to PDEs. includes the ray, the spherical mean transforms researchers and as an introduction for graduate in the plane or in 3-space, and inversion from students who want to learn Banach space theory 4th ed. 2007. XXII, 778 p. 79 illus. Hardcover incomplete data. with some historical flavor. ISBN 7 978-0-8176-4393-5 2004. IX, 164 p. (Monographs in Mathematics, 2007. XXIII, 855 p. 82 illus. Hardcover List price Volume 98) Hardcover ISBN 7 978-0-8176-4367-6 7 € 78,00 | £59.99 ISBN 7 978-3-7643-7129-6 7 * € (D) 83,46 | € (A) 85,80 | sFr 103,50 List price List price 7 € 109,00 | £92.50 Sale price 7 € 68,00 | £53.99 7 * € (D) 116,63 | € (A) 119,90 | sFr 160,00 7 € 46,95 | £42.99 7 * € (D) 72,76 | € (A) 74,80 | sFr 108,00 7 * € (D) 50,24 | € (A) 51,65 | sFr 73,00 Sale price Sale price 7 € 66,95 | £60.99 9 7 € 42,95 | £38.99 7 * € (D) 71,64 | € (A) 73,65 | sFr 10,40 97 * € (D) 45,96 | € (A) 47,25 | sFr 67,00 9

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R. Reiss, M. Thomas, University of Siegen, Germany H. E. Rose, University of Bristol, UK S. Stojanovic, University of Cincinnati, OH, USA Statistical Analysis of Extreme Linear Algebra Computational Financial Values A Pure Mathematical Approach Mathematics using with Applications to Insurance, Finance, Linear algebra is one of the most important MATHEMATICA® Hydrology and Other Fields branches of mathematics, because of its Optimal Trading in Stocks and Options applications to other areas of mathematics, and This is a self-contained introduction to This book provides a beautiful overview of what because it encompasses ideas and results which parametric modeling, exploratory analysis and mathematics and MATHEMATICA® can do for are basic to pure mathematics. This book statistical interference for extreme values, as finance. Sophisticated theories are presented in introduces to linear algebra, and develops and used in disciplines from hydrology to finance to a rigorous but user-friendly, practical style, proves its fundamental properties and theorems environmental science. Updated and expanded which, with the programming capabilities of taking a pure mathematical approach. Many by 100 pages, the Third Edition includes MATHEMATICA®, help the reader develop examples, exercises and problems are provided, statistical applications on CD-ROM. good intuition in real trading. with answers or sketch solutions given in an appendix. 3rd ed. 2007. XVII, 511 p. With CD-ROM. 2003. XI, 481 p. 250 illus. With CD-ROM. Softcover Hardcover 2002. XIV, 250 p. Softcover ISBN 7 978-3-7643-7230-9 ISBN 7 978-0-8176-4197-9 ISBN 7 978-3-7643-6792-3 List price List price List price 7 € 59,90 | £47.99 7 € 66,95 | £59.99 7 € 24,95 | £22.99 7 * € (D) 64,09 | € (A) 65,89 | sFr 99,00 7 * € (D) 71,64 | € (A) 73,65 | sFr 104,00 7 * € (D) 26,70 | € (A) 27,45 | sFr 39,90 Sale price Sale price Sale price 7 € 29,95 | £26.99 7 € 39,95 | £35.99 7 € 19,95 | £17.99 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 7 * € (D) 42,75 | € (A) 43,95 | sFr 62,00 9 97 * € (D) 21,35 | € (A) 21,95 | sFr 31,00 9

S. Resnick, Cornell University, Ithaca, NY, USA G. Tarantello, Università di Roma "Tor Vergata", Italy E. Sandier, Université Paris-XII Val-de-Marne, Créteil, A Probability Path France; S. Serfaty, Courant Institute of Mathemat- Selfdual Gauge Field Vortices ical Sciences, New York, NY, USA Many probability books are written by An Analytical Approach mathematicians and have the built in bias that Vortices in the Magnetic This monograph discusses specific examples of the reader is assumed to be a mathematician Ginzburg-Landau Model selfdual gauge field structures. Many open coming to the material for its beauty. This questions remain in the field and are examined textbook is geared towards beginning graduate This book presents the mathematical study of here. The goal of this text is to form an students from a variety of disciplines whose vortices of the two-dimensional Ginzburg- understanding of selfdual solutions arising in a primary focus is not necessarily mathematics Landau model. It acts a guide to the various variety of physical contexts. for its own sake. Instead, A Probability Path is branches of Ginzburg-Landau studies, provides designed for those requiring a deep under- context for the study of vortices, and presents a 2008. XIV, 325 p. (Progress in Nonlinear Differen- standing of advanced probability for their list of open problems in the field. tial Equations and Their Applications, Volume 72) research in statistics, applied probability, Hardcover biology, operations research, mathematical 2007. XII, 322 p. 13 illus. (Progress in Nonlinear ISBN 7 978-0-8176-4310-2 finance, and engineering. Differential Equations and Their Applications, Volume 70) Hardcover List price 1st ed. 1998. 3rd printing 2003. 230 p. 10 illus. ISBN 7 978-0-8176-4316-4 7 € 84,90 | £76.50 Hardcover 7 * € (D) 90,84 | € (A) 93,39 | sFr 149,00 List price ISBN 7 978-0-8176-4055-2 7 € 98,00 | £86.00 Sale price List price 7 * € (D) 104,86 | € (A) 107,80 | sFr 148,50 7 € 49,95 | £44.99 7 € 54,90 | £43.99 7 * € (D) 53,45 | € (A) 54,95 | sFr 77,50 Sale price 7 * € (D) 58,74 | € (A) 60,39 | sFr 95,00 7 € 59,95 | £53.99 Sale price 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 9 7 € 29,95 | £26.99 7 * € (D) 32,05 | € (A) 32,95 | sFr 46,50 9 9

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