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Notices of the American Mathematical Society May 2006 AMERICAN MATHEMATICAL SOCIETY FORTHCOMING TITLES FROMTHEAMS Elements of Elements of Combinatorial COURSE Comb~natonal and Differential Topology ADOPTION and D1fferent1al Topology V. V. Prasolov, Independent University of Moscow, Russia Graduate Studies in Mathematics, Volume 74; 2006; approximately 342 pages; Hardcover; ISBN 0-8218-3809-1; List US$59; All AMS members US$47; Order code GSM/74 The Shoelace Book A Mathematical Guide to the Best (and Worst) Ways to Lace Your Shoes Burkard Polster, Monash University, Clayton, Victoria, Australia Mathematical World, Volume 24; 2006; 125 pages; Softcover; ISBN 0-8218-3933-0; List US$29; All AMS members US$23; Order code MAWRLD/ 24 Enumerative Enumerative Geometry COURSE Geometry and and String Theory ADOPTION Theory String Sheldon Katz, University of Illinois at Urbana-Champaign, IL Shtldon K.J..u Student Mathematical Library, Volume 32; 2006; approximately 214 pages; Softcover; ISBN 0-8218-3687-0; List US$35; All AMS members US$28; Order code STML/ 32 The Cauchy Transform The Cauchy Joseph A. Cima, University of North Carolina, Chapel H ill, NC, Transform Alec L. Matheson, Lamar University, Beaumont, TX, and Wtlliam T. Ross, Joseph A. Cima University of Richmond, VA Alec Matheson WiiUam T. Ross Mathematical Surveys and Monographs, Volume 125; 2006; 272 pages; Hardcover; ISBN 0-8218-3871-7; List US$75; All AMS members US$60; Order code SURV/ 125 The Theory of Group Characters and Matrix Representations of Groups Second Edition Dudley E. Littlewood AMS Chelsea Publishing; 2006; 310 pages; Hardcover; ISBN 0-8218-4067-3; List US$45; All AMS members US$41; Order code CHEL/ 357.H Lectures on Quasiconformal Mappings Second Edition Lectures on Quasiconformal Lars V. Ahlfors Mappings University Lecture Series, Volume 38; 2006; approximately 156 pages; Softcover; Second EcllUon ISBN 0-8218-3644-7; List US$35; All AMS members US$28; Order code ULECT/ 38 Lars V . Ahlfors For the most up-to-date and complete information on all of our newest publications and sales! • For new titles go to www.ams.org/bookstore/whatsnew • To sign up for email notification for new titles and our Publications Update ®AMS'\. R l 1 H catalog go to www.ams.org/cgi-bin/bookstore/bookstore-maildomo • For our latest sale go to www.ams.org/bookstore/saledirectory.html Editorial Board Aims and Scope Alexander Barg This new journal provides a forum for the publica­ Albrecht Beutelspacher tion of original research articles in the broad area lan Blake of mathematics of communications. It will cover Eimear Byrne work in mathematics and computer science rele­ Yvo Desmedt vant to applications in communications technolo­ Jintai Ding gy. Submissions from many areas of mathematics Steven Dougherty are invited including, coding theory, cryptology, Ivan Duursma combinatorics, finite geometry, algebra and num­ Veerle Fack ber theory. This journal also aims to cover the algo­ Patrick Fitzpatrick rithmic and computational aspects of these disci­ Heide Gluesing-Luerssen plines. Marcus Greferath (EIC) Submissions should be sent directly to the EIC Tom Hoeholdt Marcus Greferath ([email protected]) Thomas Honold Neal Koblitz A number of gift subscriptions, print and electronic, Ivan Landjev are offered to individuals and institues/libraries where Simon Utsyn AMC is found of great interest. Requests should be Jianya Uu (EIC) sent to the EIC. All AIMS journals can be viewed at: Sergio Lopez-Permouth http:/ /AIMSciences.org Michael O'Sullivan Joachim Rosenthal Renate Scheidler Other Journals at AIMSciences.org Stefan Schmidt Hovav Shacham Neil Sloane Discrete and Conflnuous Dynamical Systems Patrick Sole Andreas Stein DCDS-A and DCDS-B are leading journals in analysis, Douglas Stinson dynamical systems and modelling, ranking top among Mario Szegedy math and applied math journals. Edlyn Teske Networks and Heterogeneous Media Henk van Tilborg Xiaoyun Wang NHM, an applied math journal, is focused on traffic Judy Walker flows, internet network, bio-medical problems,filtra­ Harold Ward tion, granular flow, etc. It is distinct in its interdiscipli­ GillesZemor nary character, specific focus and deep mathemati­ cal content American Institute of Mathematical Sciences • Shandong University NEW (6 FORTHCOMING from Birkhiiuser Algebraic Geometry and A Beginner's Guide The Unity of Mathematics Number Theory to Graph Theory In Honor of the Ninetieth Birthday of I. M. Gelfand VICTOR GINZBURG, University of Chicago, IL, (Ed.) Second Edition PAVEL ETINGOF, I. M. SINGER, both, Massachusetts This vo lume of invited articles by several outstanding W.D. WALLIS, Southern Illinois University, Carbondale, !L Institute of Technology, Cambridge, MA; mathematicians in algebra, algebraic geometry, and VLADIMIR RETAKH, Rutgers University, Piscataway, NJ number theory is dedi cated to Vladimir Drinfeld on the "Altogether the book gives a comprehensive introduction occasion of his 50th birthday. These surveys and original to graphs, their theory and their application ... The use Atribut e to the vision and legacy of I. M. Gelfand, the research articles broadly refl ect the range of Drinfeld's of the text is optimized when the exercises are solved .. " invited papers in this vo lume re fl ect the uni ty of wo rk in th ese areas, especially his profound contribu­ -SIMULATION NEWS EUROPE (REVIEW OF THE mathematics as a whol e, with par ticular emphasis on tions to the Langlands program and mathematical FIRST EDITION) the many connections among the fields of geometry, phys ics. This concisely written textbook is intended for an physics, and representation theory. Written by lead in g introductory course in graph theory for undergraduate mathematicians, the text is broadly divided into two Contributors include: V.V. Fock, E. Frenkel, mathematics majors or advanced undergraduate and section s: th e fir st is devoted to developments at the D. Gaitsgory, A.B. Goncharov, E. Hrushovski, graduate st ud ents from the many field s that benefit intersection of geometry and phys ics, and the seco nd to Y. lhara, D. Kazhdan, M. Kisin, I. Krichever, from graph-theoreti c applications. This revised and rep resentation theory and alge braic geometry. G. Laumon, Yu. Manin, and V. Schechtmann. expanded seco nd edition contains new chapters on Contents: H. Cartan: Preface * I. M. Gelfand: labe ling and communications netwo rks and small 2006/APPROX 608 PP., 10 ILLUS./HAR DCOVER Mathematics as an Adequate Language * M. Atiyah: ISBN 0-8176-4471 -7/$99.00 (TENT. ) wo rlds, as we ll as additional beginner's material in the The Interaction between Geometry and Physics * PROGRESS IN MATHEMATIC S ea rly chapters, including more examples, exercises, A. Braverman, M. Finkelberg, and D. Gaitsgory: hints and solution s to key problems. Uhlenbeck Spaces via Affine Li e Algebras * H. Brezis: 2006/APPROX. 300 PP., 120 ILLUS./SOFTCOVER New Questions Related to the Topological Degree * D-Modules, Perverse Sheaves, ISBN 0-8176-4484-9/$39.95 (TENT.) T. Coates and A. Givental: Quantum Cobordisms and and Representation Theory Formal Group Laws *A. Connes: On the Foundations of Noncommutative Geometry * S. DeBacker and RYOSHI HOTTA, Okayama University of Science, Okayama, D. Kazhdan: Stable Distributions Supported on the Japan; KIYOSHI TAKEUCHI, University of Tsukuba, Japan; Harmonic Analysis and TOSHIYUKI TANISAKI, Osaka City University, Osaka, Japan Nilpotent Cone for the Group G2 * V. Drinfeld: Applications Infinite-Dimensional Vecto r Bundles in Algebraic This first English-language translation of the Japanese In Honor of John J. Benedetto Geometry* L. D. Faddeev: Alge braic Lessons from text, D Kagun to Daisugun, translated and updated by CHRISTOPHER HElL, Georgia Institute of Technology, the Theory of Quantum Integrable Models * the original authors, examines in detail the foundation s Atlanta, GA (Ed.} M. Kontsevich andY. Soibelman: Affine Structures of D-module theory and its intersection with cohomo­ and Non-Archimedean Analytic Spaces * B. Kostant logy groups and representation theory. Systematic and This volume, in honor of John J. Benedetto, features and N. Wallach: Gelfand-Zeitlin Th eory from the carefullyw ritten, the wo rk begins with preliminary invited articles cove ring a wide range of topics in areas Perspective of Classical Mechanics II * C-H. Liu, concepts before fo cusing on some basic but important where he has made fundamental and las ting K. Liu, and S-T. Yau: Mirror Symmetry and theories that have emerged in the last few decades. contributions, such as harmonic analysis, number Localizations * G. Lusztig: Character Sheaves and theory, weigh ted-norm inequalities, wavelet theory, Generalizations * D. McDuff: Symplectomorphism 2006/A PPROX. 350 PP., 20 ILLUS./HARDCOVER time-frequency analysis, and sampling theory. Although Groups and Quantum Cohomology* M. Movshev and ISBN 0-8176-4363-X/$99.00 (TENT.) the scope of th e book is broad, chapters are clustered A. Schwarz: Algebraic Structure of Yang-M ills Theory* PROGRESS IN MATHEMATICS, VOL. 236 by topic to provide authoritative expositions that will be N.A. Nekrasov and A. Okounkov: Seiberg-Witten of lasting in terest. Theory and Random Partitions *A. Okounkov, History of Banach Spaces and Contributors: A, Aldroubi, L. Baggett, G. Benke, N. Reshetikhin, and C. Vafa: Quantum Calabi-Yau C. A. Cabrelli, P.G. Casazza, 0 . Christensen, and Classical Crys tals *A.M. Vershik: Gelfand-Tsetlin Linear Operators W. Czaja, M. Fickus, J.-P. Gabardo, K. Griichenig, Alge bras, Expectations, Inverse Limits, Fourier Analysis ALBRECHT PIETSCH, University of Jena, Germany K. Guo, E. Hayashi, C. Heil, H. P. Heinig, J.A. Hogan, J. Kovacevic, D. Labate, J.D. Lakey, 2006/654 PP., 41 ILLU S./HAR DCOVER This work is devoted to a comprehensive treatment of ISBN 0-8176-4076-2/$115.00 D. R. Larson, M. T. Leon, S. Li, W.-Q. Lim, the history of Banach spaces and (abstract bounded) PROGRE SS IN MATHEMATICS, VO L. 244 A. Lindner, U. M. Molter, A.M. Powell, B. Rom, linear operators, fo cusing on developments in the E. Schulz, T.
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