Important New Releases from the AMS C:U t~m New Titles in the Student New Titles in the Graduate Mathematical Library Series Studies in Mathematics Series Mathematical Modelling Functional Analysis A Case Studies Approach An Introduction Reinhard lllner, C. Sean Bohun, Yuli Eidelman, Vitali Milman, and Samantha McCollum, and Anton is Tsolomitis Thea van Roode Graduate Studies in Mathematics, Student Mathe matical Library, Volume 66; 2004; 322 pages; Hardcover; Volume 27; 2005; 196 pages; Softcover; ISBN 0-8218-3646-3; List $55; All AMS ISBN 0-8218-3650-1; List $35;AII AMS members $44; Order code: GSM/66 members $28; Order code: STMU27 Six Themes on Variation Global Calculus Robe rt Hardt S. Ramanan Student Mathematical Libra ry, Graduate Studies in Mathematics, Volume 26; 2004; 153 pages; Softcover; Volume 65; 2005; 3 16 pages; Hardcover; ISBN 0-8218-3720-6; List $29;AII AMS ISBN 0-8218-3702-8; List $55;AII AMS members $23; Order code: STMU26 members $44; Order code: GSM/65 Transformation Groups Introduction to Quadratic Introduction to for Beginners QuadratiC Forms Forms over Fields S. V. Duzhin and over F1elds T.Y.Lam B. D. Chebotarevsky G raduate Studies in Mathematics, T.'t.LA.n-1 Student Mathematical library, Volume 67; 2005; 550 pages; Hardcover; Volume 25; 2004; 246 pages; Softcover; ISBN 0-8218-1095-2; List $79;AII AM S ISBN 0-8218-3643-9; List $39;AII AMS members $63; Order code: GSM/67 members $31 ; Order code: STMU25 And don't miss these other great titles! Supersymmetry Orthogonal Polynomials for Mathematicians: on the Unit Circle An Introduction Part I: Classical Theory Supersymmetry for Part 2: Spectral Theory Mathematicians: V. S. 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The Fan China Exchange Program is intended to send eminent mathematicians from the U.S. and Canada to make a positive impact on the mathematical research community in China and to bring Chinese scientists in the early stages of their research to the U.S. and Canada to help further their careers. The program encourages host institutions to provide some type of additional support for the travel or living expenses of the visitor and to ensure a suitable length of stay. Applications received before March 15 will be considered for the following academic year. For more information on the Fan China Exchange Program and application process see www.ams.org/employment/chinaexchange.html or contact the AMS Membership and Programs Department by telephone at 800-321- 4267, ext. 4058 (U.S. and Canada), or 401-455-4058 (worldwide), or by email at [email protected]. www. ams.org NEW f6 FORTHCOMING from Birkhiiuser Introduction to Plane Geometric Mechanics Harmonic Analysis, Algebraic Curves on Riemannian Manifolds Signal Processing, ERNST KUNZ, University of Regensburg, Germany Applications to Partial and Complexity RICHARD G. BELSHOFF, Southwest Missouri State Differential Equations Festschrift in Honor of the 60th Birthday University, Springfield, MO (Translat01) OVIDIU CALIN, Eastern Michigan University, East Lansing, of Carlos A. Berenstein This work treats an introduction to commutative ring Ml and DER-CHEN CHANG, Georgetown University, Washington, DC IRENE SABADINI, Poiitecnico di Milano, Italy; and theory and algebraic plane curves, requiring of the DANIELE C. STRUPPA and DAVID F. WALNUT, both, student only a basic knowledge of algebra, with all of the This work presents a purely geometric treatment George Mason University, Fairfax, VA (Eds.) algebraic facts collected into several appendices that of problems in physics involving quantum harmonic Carlos A. Berenstein has had a profound influence on can be easily referred to, as needed. Kunz 's proven oscillators, quartic oscillators, minimal surfaces, and scholars and practitioners alike amid a distinguished conception of teaching topics in commutative algebra Schrodinger's, Einstein's and Newton's equations. together with their applications to algebraic geometry The text is enriched with good examples and exercises mathematical career spanning nearly four decades. This volume, which celebrates his sixtieth birthday, reflects makes this book significantly different from others on at the end of every chapter and will be suitable for his research interests and contains original and survey plane algebraic curves. The exposition focuses on the students, pure and applied mathematicians, and articles covering topics in harmonic and complex purely algebraic aspects of plane curve theory, leaving theoretical phys icists. analysis, as well as signal processing. the topological and analytical viewpoints in the back­ 2005/27B PP./HARDCOVER/ISBN 0-817 6-4354-0/$79.9 5 ground, with only casual references to these subjects APPLIED AND NUMERICAL HARMONIC ANALYSIS Contributors include: J. Baras, C.A. Berenstein, L. and suggestions for further reading. Includes examples, Ehrenpreis, G. Kaiser, C. Kiselman, S.G. Krantz, exercises, figures, and suggestions for further study. Introduction to Vertex Krishnaprasad, B.Q. Li, I. Sabadini, B. Shiffman, D. C. 2005/APPROX. 300 PP., 40 ILLUS./HARDCOVER Struppa, A. Taylor, D. F. Walnut ISBN 0-8176-4381-8/$69.95 (TENT.) Operator Algebras and 2005/APPROX. 176 PP./HARDCOVER ISBN 0-8176-4358-3/$89.95 (TENT.) Their Representations PROGRESS IN MATHEMATICS Also by Ernst Kunz JAMES LEPOWSKY, Rutgers University, Piscataway, NJ and Introduction to HAl SHENG LI, Rutgers University, Camden, NJ, and Harbin Normal University, China Harmonic Analysis Commutative Algebra This book introduces the reader to the fundamental and Applications and Algebraic Geometry theory of vertex operator algebras and its basic tech­ In Honor of John J. Benedetto 'fin excellent introduction to the subject .... The presen­ niques and examples. Beginning with a detailed presen­ CHRISTOPHER HEll, Georgia Institute of Technology, tation is very clear and the theory is accompanied by tation of the theoretical foundations and proceeding to Atlanta, GA {Ed.) a range of applications, the text includes a number of numerous interesting exercises ... This is a highly This volume, in honor of John J. Benedetto on the recommended text for students and lecturers." new, original results and also highlights and brings fresh perspective to important works of many researchers. occasion of his 65th birthday, features invited articles -MATHEMATICA covering a wide range of topics in areas where he has 2004/318 PP./HARDCOVER/ISBN 0-817 6-3408-8/$89.9 5 1985/256 PP./HARDCOVER/ISBN 0-8176-3065-1/$59.95 PROGRESS IN MATHEMATICS, VOL. 227 made fundamental and lasting contributions, such as harmonic analysis, number theory, weighted norm Frobenius Splitting inequalities, wavelet theory, time-frequency analysis, The Universe of and sampling theory. Although the scope of the book is Methods in Geometry and General Relativity broad, chapters are clustered by topic to provide authoritative expositions that will be of lasting interest. Representation Theory JEAN EISENSTAEDT, Observatoire de Paris, France and MICHEL BRION, Universite Grenoble- CNRS, St-Martin A.J. KOX, Universiteit van Amsterdam, The Netherlands (Eds.) Contributors: A. Aldroubi, L. Baggett, G. Benke, C.A. d'Heres, France and SHRAWAN KUMAR, University of North This volume from the Einstein Series is based largely on Cabrelli, P.G. Casazza, 0. Christensen, W. Czaja, C. Davis, Carolina, Chapel Hill papers presented at the Sixth International Conference H. G. Feichtinger, M. Fickus, J.-P. Gabardo, K. Groechenig, The theory of Frobenius splittings has made a signifi­ on the History of General Relativity. These contributions K. Guo, E. Hayashi, C. Heil, H.P. Heinig, J. Hogan, P.E.T. cant impact in the study of the geometry of flag varieties from notable experts offer both new and historical Jorgensen, K. Kornelson, J. Kovacevic, D. Labate, J.D. and representation theory. This work systematically insights on gravitation, general relativity, cosmology, Lakey, D.R. Larson, M.T. Leon, S. Li, W.-Q. Lim, A. Linder, develops the theory of Frobenius splittings and covers unified field theory, and the history of science. U.M. Molter, E. Schulz, T. Sorrels, D. Speegle, K.F. Taylor, all its major developments. The concise, efficient J.C. Tremain, D.F. Walnut, Y. Wang, G. Weiss, E. Wilson Contributors include: K. Brading, G. Gale, H.F.M. exposition unfolds from basic introductory material on 2005/APPROX. 320 PP./HARDCOVER Goenner, J. Goldberg, S. Katzir, D. Kennefick, H. Kragh, Frobenius splittings- definitions, properties, and ISBN 0-8176-3778-8/$89.95 (TENT.) C. Lehner, U. Majer, J. Mattingly, E.T. Newman, J.D. examples- to cutting-edge research. Many examples, APPLIED AND NUMERICAL HARMONIC ANALYSIS Norton, J. Renn, R. Rynasiewicz, J.M. Sanchez-Ron, T. exercises, and open problems suggested throughout. Sauer, C. Smeenk, J. Stachel, M. Wazeck, D. WUnsch 2005/246 PP./HARDCOVER/ISBN 0-8176-4191-2/$69.95 PROGRESS IN MATHEMATICS, VOL. 231 2005/APPROX. 510 PP./HARDCOVER ISBN 0-8176-4380-X/$99.95 !TENT.) EINSTEIN STUDIES, VOL. 11 CALL: 1-800-777-4643 • FAX: (201) 348-4505 E-MAIL: [email protected] • www.birkhauser.com Please mention promotion #Y9698 when ordering.