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Math Teacher (Grades 6-12) Tits: I Would Say All Good Authors ISSN 0002-9920 Notices of the American Mathematical Society ABCD springer.com Post Mathematics and Quantum NEW Culture VI NEW Cryptography The latest in this Springer This book introduces the series probes the interplay reader to the next generation of between mathematics and of the American Mathematical Society cryptographic algorithms, the systems the worlds of art, cinema, theatre and that resist quantum-computer attacks: history, medicine, biology and April 2009 Volume 56, Number 4 in particular, post-quantum public-key aeronautics. Series Editor Michele encryption systems and post-quantum Emmer has chosen essays illuminating public-key signature systems. Leading experts have joined these connections in fascinating ways. forces for the fi rst time to explain the state of the art in 2009. X, 299 p. 136 illus., 14 in color. Hardcover quantum computing, hash-based cryptography, code-based cryptography, lattice-based cryptography, and multivariate ISBN 978-3-540-87568-0 7 $79.95 cryptography. Mathematical foundations and implementa- tion issues are included. Introduction to Nonlinear 2009. IX, 245 p. 25 illus. Hardcover NEW ISBN 978-3-540-88701-0 7 $89.95 Dispersive Equations Distributions The aim of this textbook is to and Operators NEW introduce the theory of nonlinear This book gives an dispersive equations to graduate introduction to students in a constructive way. The distribution theory, in the fi rst three chapters are dedicated to preliminary material, spirit of Schwartz. Additionally, the such as Fourier transform, interpolation theory and Sobolev aim is to show how the theory is spaces. The authors then proceed to use the linear Connected Sets and combined with the study of operators Schrodinger equation to describe properties enjoyed by in Hilbert space by methods of general dispersive equations. This information is then used to the AMS, 1901–1921 functional analysis, with applications to partial and ordinary treat local and global well-posedness for the semi-linear diff erential equations. Here, the author provides an Schrodinger equations. The end of each chapter contains page 450 introduction to unbounded operators in Hilbert space, recent developments and open problems, as well as including a complete theory of extensions of operators, and exercises. applications using contraction semigroups. 2009. Approx. 265 p. (Universitext) Softcover A Pencil-and-Paper 2009, XII, 464 p. 8 illus., Hardcover ISBN 978-0-387-84898-3 7 $49.95 ISBN 978-0-387-84894-5 7 $69.95 Algorithm for Solving Journal of Sudoku Puzzles Probability Measures on Geometric AVAILABLE Semigroups 2ND ONLINE page 460 EDITION Analysis Convolution Products, Random Walks and JGA is a high-quality Random Matrices journal devoted to A. Mukherjea , University of South Florida, Tampa, FL, USA; publishing important new results at G. Högnäs , Abo Akedemi University, Abo, Finland the interface of analysis, geometry and partial diff erential equations. This new edition presents up-to-date material on the theory of weak convergance of convolution products of probability Founded 17 years ago, the journal has Volume 56, Number 4, Pages 441–552, April 2009 measures in semigroups, the theory of random walks on maintained standards of innovation and excellence. JGA semigroups, and their applications to products of random accepts papers in English, French, and German and has a matrices. In addition, this work examines the essentials of strong international fl avor. abstract semigroup theory and its application to concrete ISSN 1050-6926 (print) semigroups of matrices. This text includes exercises at various ISSN 1559-002X (electronic) levels at the end of each section and includes the best available proofs on the most important theorems used in the book. 2nd ed. 2009. Approx. 505 p. Hardcover ISBN 978-0-387-77547-0 7 approx. $89.95 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. 014141x Tracking hurricanes (see page 487) Trim: 8.25" x 10.75" 112 pages on 40 lb Cougar Opaque • Spine: 3/16" • Print Cover on 9pt Carolina ,!4%8 ,!4%8 ,!4%8 Volume 2009 Open Access Journals Abstract andApplied Analysis in Mathematics Your research wants to be free! 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Krantz, Washington University, Gregory S. Chirikjian, The John Hopkins Germany St. Louis, MO, USA University, Baltimore, MD, USA This book studies structural properties of This self-contained text provides an intro- The subjects of stochastic processes, Q-curvature from an extrinsic point of view duction to modern harmonic analysis in information theory, and Lie groups are by regarding it as a derived quantity of the context in which it is actually applied, usually treated separately from each other. certain conformally covariant families of dif- in particular, through complex function This unique textbook presents these topics ferential operators which are associated to theory and partial differential equations. It in a unifi ed setting, thereby building bridg- hypersurfaces. The new approach is at the takes the novice mathematical reader from es among fi elds that are rarely studied by cutting edge of central developments in the rudiments of harmonic analysis (Fourier the same individuals. Volume I establishes conformal differential geometry in the last series) to the Fourier transform, pseudo- the geometric and statistical foundations two decades (Fefferman-Graham ambient differential operators, and fi nally to Heisen- required to understand the fundamentals metrics, spectral theory on Poincaré- berg analysis. Within the textbook, the of continuous-time stochastic processes, Einstein spaces, tractor calculus, Verma new ideas on the Heisenberg group are differential geometry, and the statistical modules and Cartan geometry). The theory applied to the study of estimates for both branch of information theory. of conformally covariant families is inspired the Szegö and Poisson–Szegö integrals on by the idea of holography in the AdS/CFT- 2009. APPROX. 410 P. 15 ILLUS. HARDCOVER the unit ball in complex space. duality. Among other things, it naturally ISBN 978-0-8176-4802-2 CA. $54.95 leads to a holographic description of Q- 2009. XIV, 360 P. 26 ILLUS. HARDCOVER APPLIED AND NUMERICAL HARMONIC curvature. The methods admit generaliza- ISBN 978-0-8176-4668-4 CA. $69.95 ANALYSIS APPLIED AND NUMERICAL HARMONIC tions in various directions. ANALYSIS 2009. APPROX. 500 P. HARDCOVER Mathematics ISBN 978-3-7643-9899-6 $119.00 Distributions for Multimedia PROGRESS IN MATHEMATICS, VOL. 275 Theory and Applications M. Victor Wickerhauser, Washington University, St. Louis, MO, USA Nonlinear Partial Johannes J. Duistermaat; Johan A.C. Kolk, Universiteit Utrecht, The Netherlands This textbook presents the mathematics Differential Equations that is foundational
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