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Notices of the American Mathematical Society ABCD Springer.Com ISSN 0002-9920 Notices of the American Mathematical Society ABCD springer.com More Math Number Theory NEW Into LaTeX An Intro duc tion to NEW G. Grätzer , Mathematics University of W. A. Coppel , Australia of the American Mathematical Society Numerical Manitoba, National University, Canberra, Australia Models for Winnipeg, MB, Number Theory is more than a May 2009 Volume 56, Number 5 Diff erential Canada comprehensive treatment of the Problems For close to two subject. It is an introduction to topics in higher level mathematics, and unique A. M. Quarte roni , Politecnico di Milano, decades, Math into Latex, has been the in its scope; topics from analysis, Italia standard introduction and complete modern algebra, and discrete reference for writing articles and books In this text, we introduce the basic containing mathematical formulas. In mathematics are all included. concepts for the numerical modelling of this fourth edition, the reader is A modern introduction to number partial diff erential equations. We provided with important updates on theory, emphasizing its connections consider the classical elliptic, parabolic articles and books. An important new with other branches of mathematics, Climate Change and and hyperbolic linear equations, but topic is discussed: transparencies including algebra, analysis, and discrete also the diff usion, transport, and Navier- the Mathematics of (computer projections). math Suitable for fi rst-year under- Stokes equations, as well as equations graduates through more advanced math Transport in Sea Ice representing conservation laws, saddle- 2007. XXXIV, 619 p. 44 illus. Softcover students; prerequisites are elements of point problems and optimal control ISBN 978-0-387-32289-6 $49.95 linear algebra only A self-contained page 562 problems. Furthermore, we provide text, useful for self-study: includes refer- numerous physical examples which ences at the end of each chapter underline such equations. Implicit Functions and Solution NEW 2009. XIV, 610 p. 10 illus. (Universitext) Mathematics and the 2009. XX, 450 p. (MS&A, Volume 2) Mappings Softcover Softcover ISBN 978-0-387-89485-0 approx. $69.95 Internet: A Source of ISBN 978-88-470-1070-3 $69.95 A View from Variational Analysis Enormous Confusion An Introduction to Symmetry, A. L. Dontchev , Ann Arbor, MI, USA; and Great Potential Representations, R. T. Rockafellar , University of Fronts in Random NEW NEW page 586 and Invariants Washington, Seattle, WA, USA Media The implicit function theorem is one of J. Xin R. Goodman , Rutgers the most important theorems in University, New Brunswick, NJ, USA; N. The aim of the book is to give a user analysis and its many variants are basic R. Wallach , University of California, San friendly tutorial of an interdisciplinary tools in partial diff erential equations Diego, CA, USA research topic (fronts in random media) and numerical analysis. This book treats to senior undergraduates and Symmetry is a key ingredient in many the implicit function paradigm in the beginning graduate students with basic mathematical, physical, and biological classical framework and beyond, knowledge of partial diff erential theories. Using representation theory focusing largely on properties of equations (PDE) and probability. The and invariant theory to analyze the solution mappings of variational approach taken is semi-formal, using symmetries that arise from group problems. elementary methods to introduce ideas actions, and with strong emphasis on An attractive blend of modern topics and motivate results as much as the geometry and basic theory of Lie and classical results The authors have possible, then outlining how to pursue groups and Lie algebras, Symmetry, included a nice selection of exercises rigorous theorems with details found in Volume 56, Number 5, Pages 553–681, May 2009 Representations, and Invariants is a for classroom use Ideal reference references of the bibliography. signifi cant reworking of an earlier work which contains a large amount of highly-acclaimed work by the authors. historical material and references 2009. Approx. 200 p. (Surveys and Tutorials in the Applied Mathematical 2009. XX, 716 p. 10 illus. (Graduate Texts 2009. Approx. 385 p. 12 illus. (Springer Sciences, Volume 5) Softcover in Mathematics, Preliminary entry 255) Monographs in Mathematics) Hardcover ISBN 978-0-387-87682-5 approx. $35.00 Hardcover ISBN 978-0-387-87820-1 $69.95 ISBN 978-0-387-79851-6 $89.95 Easy Ways to Order for the Americas Write: Springer Order Department, PO Box 2485, Secaucus, NJ 07096-2485, USA Call: (toll free) 1-800-SPRINGER Fax: 1-201-348-4505 Email: [email protected] or for outside the Americas Write: Springer Customer Service Center GmbH, Haberstrasse 7, 69126 Heidelberg, Germany Call: +49 (0) 6221-345-4301 Fax : +49 (0) 6221-345-4229 Email: [email protected] Prices are subject to change without notice. All prices are net prices. 014181x Real analysis in polar coordinates (see page 613) Trim: 8.25" x 10.75" 128 pages on 40 lb Cougar Opaque • Spine: 3/16" • Print Cover on 9pt Carolina LATEX LATEX LATEX Volume 2009 Open Access Journals Abstract andApplied Analysis in Mathematics Your research wants to be free! Hindawi Publishing Corporation http://www.hindawi.com Advances in Difference Equations Advances in Mathematical Physics Submit your manuscripts at Hindawi Publishing Corporation http://www.hindawi.com Volume 2009 Hindawi Publishing Corporation Volume 2009 http://www.hindawi.com http://www.hindawi.com 7 Volume 2009 6 Advances in Discrete Dynamics in 9 5 Operations Nature and Society 1 8 Boundary An International Multidisciplinary Research and Review Journal Research Value 7 Problems 6 Differential Equations 7 and Nonlinear Advances in Mechanics Numerical Analysis Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation3 Volume 2009 Hindawi Publishing Corporation http://www.hindawi.com Volume 2009 Hindawi Publishing Corporation http://www.hindawi.com 2 http://www.hindawi.com Volume 2009 http://www.hindawi.com http://www.hindawi.com Volume 2009 Fixed Point Theory International Journal of and Applications Journal of Applied Mathematics Mathematics and Mathematical Sciences International Journal of International Journal of Differential Combinatorics Equations Hindawi Publishing Corporation http://www.hindawi.com Volume 2009 Hindawi Publishing Corporation Volume 2009 Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation http://www.hindawi.com http://www.hindawi.com Volume 2009 http://www.hindawi.com Volume 2009 http://www.hindawi.com Volume 2009 Journal of Journal of Journal of Mathematical Applied JAMSA Inequalities Probability and Applications Problems in Mathematics and Journal of Applied Mathematics Engineering and Stochastic Analysis and Statistics Theory, Methods, and Applications Decision Sciences Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation http://www.hindawi.com Volume 2009 Hindawi Publishing Corporation http://www.hindawi.com Volume 2009 http://www.hindawi.com Volume 2009 http://www.hindawi.com Volume 2009 http://www.hindawi.com Volume 2009 New and Forthcoming Advanced Algebra The World as Topics from the Anthony W. Knapp, State University of a Mathematical Game Theory of Numbers New York, Stony Brook, USA John von Neumann and Emil Grosswald “This textbook is a sequel to the author’s Twentieth Century Science “The book…has plenty of well-chosen textbook Basic Algebra...This reviewer exercises at the end of every chapter. This fi nds the author’s writing style extremely Giorgio Israel, Università di Roma ‘La is a book written with love for the subject engaging, and shares his propensity for Sapienza’, Rome, Italy; Ana Millán Gasca, and with the presence of its readers aiming whenever possible at an interesting Università Roma Tre, Rome, Italy (students) in mind all the time.” and important theorem which illustrates This book provides the fi rst comprehen- —MAA Reviews the theory...This is a beautiful book, which sive scientifi c and intellectual biography of should serve well as a basic graduate John von Neumann, a man who perhaps 2009. 2ND ED. 1984. REPRINT textbook in algebra.” more than any other is representative of XVIII, 333 P. 8 ILLUS. SOFTCOVER —Mathematical Reviews twentieth century science. With the help of ISBN 978-0-8176-4837-4 $49.95 his boundless mathematical capacity, von MODERN BIRKHÄUSER CLASSICS 2008. XXIV, 730 P. 10 ILLUS. HARDCOVER Neumann developed a conception of the ISBN 978-0-8176-4522-9 $69.95 world as a mathematical game, a world CORNERSTONES Combinatorial Number globally governed by a universal logic driven by individual consciousness. This Theory and Additive Modern Differential vision conducted him from set theory to Group Theory quantum mechanics, to economics and to Geometry in Gauge Alfred Geroldinger, University of Graz, his theory of automata (anticipating artifi cial Austria; Imre Z. Ruzsa, Hungarian Theories intelligence and cognitive science). Academy of Sciences, Budapest, Hungary Volume II: Yang–Mills Fields 2009. XII, 207 P. HARDCOVER Additive combinatorics is a relatively recent Anastasios Mallios, University of Athens ISBN 978-3-7643-9895-8 $119.00 term coined to comprehend the develop- Panepistimioupolis, Athens, Greece SCIENCE NETWORKS – HISTORICAL STUDIES, VOL. 38 ments of the more classical additive num- Modern differential geometry from the ber theory, mainly focussed
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