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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 Highlights in Springer’s eBook Collection of the American Mathematical Society June/July 2009 Volume 56, Number 6 NEW NEW Using representation theory and This self-contained text off ers a host of Editor-in-Chief: Steven G. Krantz invariant theory to analyze the new mathematical tools and strategies The Journal of Geometric Analysis is a symmetries arising from group actions, which develop a connection between high-quality journal devoted to and with emphasis on the geometry analysis and other mathematical publishing important new results at the and basic theory of Lie groups and Lie disciplines, such as physics and interface of analysis, geometry and algebras, this book reworks an earlier engineering. A broad view of math- partial diff erential equations. Founded highly acclaimed work by the author. ematics is presented throughout; the 17 years ago by its current Editor-in- This comprehensive introduction to Lie text is excellent for the classroom or Chief the journal has maintained theory, representation theory, invariant self-study. standards of innovation and excellence. theory and algebraic groups is more 2009. XX, 452 p. 10 illus. Softcover accessible to students and includes a ISSN 1050-6926 (print ) ISBN 978-0-387-77378-0 7 $79.95 broader ranger of applications. ISSN 1559-002X (online) 2009. XX, 716 p. 10 illus. (Graduate Texts in Mathematics, Volume 255) Hardcover ISBN 978-0-387-79851-6 7 $69.95 For access check with your librarian Fractional Diff erentiation Risk and Asset Allocation Groups and Symmetries Inequalities A. Meucci From Finite Groups to Lie Groups G. A. Anastassiou This book off ers a comprehensive Y. Kosmann-Schwarzbach In this book the author presents the treatment of asset allocation, including This book introduces the theory of Opial, Poincaré, Sobolev, Hilbert, and market modeling, invariants estimation, group representations and its Remembering Atle Selberg, 1917–2007 Ostrowski fractional diff erentiation and portfolia evaluation, among others. applications to quantum mechanics. Volume 56, Number 6, Pages 681–792, June/July 2009 The results are proved explicitly in inequalities. Results for the above are The presentation is concise, dealing page 692 derived using three diff erent types of technical appendices that are freely with fi nite groups, compact groups, fractional derivatives, namely by downloaded from the book’s web-site. linear Lie groups and their Lie algebras. 0002-9920(200906)56:6;1-2 Canavati, Riemann-Liouville and Caputo. Each chapter ends with a set of exercises. This text will serve advanced under- The univariate and multivariate cases 7 Now available in softcover graduates having a background in linear are both examined. Each chapter is self- algebra and calculus as well as contained. 1st ed. 2005. 2nd printing 2009. beginning graduate students. XXVI, 532 p. (Springer Finance) Softcover On the Concept of Genus in Topology 2009. Approx. 700 p. Hardcover ISBN 978-3-642-00964-8 7 $49.95 2009. Approx. 220 p. 24 illus. ISBN 978-0-387-98127-7 7 $129.00 (Universitext) Softcover and Complex Analysis ISBN 978-0-387-78865-4 7 approx. $59.95 page 713 Easy Ways to Order for the Americas 7 Write: Springer Order Department, PO Box 2485, Secaucus, NJ 07096-2485, USA 7 Call: (toll free) 1-800-SPRINGER 7 Fax: 1-201-348-4505 7 Email: [email protected] or for outside the Americas 7 Write: Springer Customer Service Center GmbH, Haberstrasse 7, 69126 Heidelberg, Germany 7 Call: +49 (0) 6221-345-4301 7 Fax : +49 (0) 6221-345-4229 7 Email: [email protected] 7 Prices are subject to change without notice. All prices are net prices. 014182x Atle Selberg and automorphic forms (see page 710) Trim: 8.25" x 10.75" 112 pages on 40 lb Velocity • Spine: 1/8" • 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 Inequalities Applied Pseudoanalytic Now available in softcover A Mathematical Olympiad Function Theory A History of Algebraic Approach Vladislav V. Kravchenko, CINVESTAV, and Differential Topology, Radmila Bulajich Manfrino, Universidad Querétaro, Mexico Autónoma del Estado de Morelos, Mexico; 1900–1960 Pseudoanalytic function theory generalizes José Antonio Gómez Ortega, Universidad Jean Dieudonné and preserves many crucial features of Nacional Autónoma de Mexico; Rogelio complex analytic function theory. The “This book is a well-informed and detailed Valdez Delgado, Universidad Autónoma Cauchy-Riemann system is replaced by analysis of the problems and development del Estado de Morelos, Mexico a much more general fi rst-order system of algebraic topology, from Poincaré and This book presents classical inequalities with variable coeffi cients which turns out to Brouwer to Serre, Adams, and Thom. The and specifi c inequalities which are be closely related to important equations author has examined each signifi cant paper particularly useful for tackling and of mathematical physics. This relation along this route and describes the steps solving optimization problems. Most of supplies powerful tools for studying and and strategy of its proofs and its relation the examples, exercises and problems solving Schrödinger, Dirac, Maxwell, Klein- to other work. Previously, the history that appear in the book originate from Gordon and other equations with the aid of the many technical developments of Mathematical Olympiad contests around of complex-analytic methods. This book is 20th-century mathematics had seemed the world. dedicated to these recent developments to present insuperable obstacles to in pseudoanalytic function theory and their 2009. APPROX. 250 P. SOFTCOVER scholarship. This book demonstrates in the applications as well as to multidimensional ISBN 978-3-0346-0049-1 $39.95 case of topology how these obstacles can generalizations. be overcome, with enlightening results.... 2009. APPROX. 195 P. SOFTCOVER Within its chosen boundaries the coverage Fourier–Mukai and Nahm ISBN 978-3-0346-0003-3 $54.95 of this book is superb. Read it!” Transforms in Geometry FRONTIERS IN MATHEMATICS —Mathematical Reviews and Mathematical Physics 2009. XXIV, 648 P. SOFTCOVER Pseudo-Differential Claudio Bartocci, Università degli Studi ISBN 978-0-8176-4906-7 CA. $59.95 di Genova, Italy; Ugo Bruzzo, SISSA, Operators and Symmetries MODERN BIRKHÄUSER CLASSICS Trieste, Italy; Daniel Hernández Ruipérez, Background Analysis and Universidad de Salamanca, Spain Hyperbolic Manifolds and Advanced Topics Integral transforms, such as the Laplace Michael Ruzhansky, Imperial College, Discrete Groups and Fourier transforms, have been major London, UK; Ville Turunen, Helsinki Michael Kapovich, University of California, tools in mathematics for at least two University of Technology, Finland Davis, CA, USA centuries. In the last three decades the development of a number of novel ideas This monograph develops a global “The book is very clearly written and in algebraic geometry, category theory, quantization theory of pseudo-differential fairly self-contained. It will be useful to gauge theory, and string theory has operators on compact Lie groups. researchers and advanced graduate been closely related to generalizations of Traditionally, the theory of pseudo- students in the fi eld and can serve as an integral transforms of a more geometric differential operators was introduced in the ideal guide to Thurston‘s work and its character. Fourier–Mukai
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