Notices of the American Mathematical Society ISSN 0002-9920
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Notices of the American Mathematical Society ISSN 0002-9920 ABCD springer.com New and Noteworthy from Springer Touching Soap Applied Delay Diff erential Second Edition – Films DVD Equations now in two volumes of the American Mathematical Society A. Arnez , Schönaich, T. Erneux , Université Libre de Bruxelles, Germany; K. Polthier , Belgium Classical Fourier Analysis October 2008 Volume 55, Number 9 Technische Universität Berlin, Germany; This short, expository book off ers a L. Grafakos , University of Missouri, M. Steff ens , C. Teitzel , Unterföhring, collection of examples of delay Columbia, MO, USA Germany diff erential equations which are in use From the reviews of the VHS version as models for a variety of phenomena in 2nd ed. 2008. Approx. 510 p. 10 illus. ... It is recommended to every math- the life sciences, physics and tech- (Graduate Texts in Mathematics, ematics club and public library, and can nology, chemistry and economics. Volume 249) Hardcover also be used as a source of informa- Avoiding mathematical proofs but ISBN 978-0-387-09431-1 $69.95 off ering more than 100 illustrations, this tion for university courses in geometry or calculus of variations. Some topics book illustrates how bifurcation and Modern Fourier Analysis such as building tunnels into minimal asymptotic techniques can be used to L. Grafakos , University of Missouri, surfaces are under current mathematical extract analytical information of Columbia, MO, USA research, which makes the tape also physical interest. Written to a multi- worth watching by experts in this eld. disciplinary audience, it sets each area 2nd ed. 2008. Approx. 520 p. 27 illus. Reviewed by Hong You Wu, of science in his historical context and Mathematical Reviews, Issue 2001d then guides the reader towards (Graduate Texts in Mathematics, questions of current interest. Volume 250) Hardcover 2008. DVD. Springer VideoMATH ISBN 978-0-387-09433-5 ISBN 978-3-540-24041-9 $49.95 2009. X, 202 p. (Surveys and Tutorials in approx. $69.95 the Applied Mathematical Sciences, The primary goal of these two volumes Volume 3) Softcover Variational Methods in is to present the theoretical foundation ISBN 978-0-387-74371-4 Imaging of the fi eld of Euclidean Harmonic approx. $39.95 O. Scherzer , M. Grasmair , H. Grossauer , analysis. The original edition was M. Haltmeier , F. Lenzen , University of published as a single volume, but due to Stochastic Calculus for Innsbruck, Innsbruck, Austria its size, scope, and the addition of new Fractional Brownian material, the second edition consists of This book focuses on variational two volumes. The present edition methods in imaging. The presentation is Motion and Applications contains a new chapter on time- mathematically rigorous and covers a F. Biagini , LMU München, Germany; frequency analysis and the Carleson- detailed treatment of the approach Y. Hu , University of Kansas, Lawrence, Hunt theorem. The fi rst volume contains from an inverse problems point of view. KS, USA; University of Oslo, Norway; the classical topics such as Interpola- Many numerical examples accompany B. Øksendal , University of Oslo, Norway; tion, Fourier Series, the Fourier the theory throughout the text. It can T. Zhang , University of Manchester, UK Volume 55, Number 9, Pages 1065–1216, October 2008 Transform, Maximal Functions, Singular serve as a main text in courses in image The purpose of this book is to present a Integrals, and Littlewood-Paley Theory. processing or as a supplemental text for comprehensive account of the diff erent The second volume contains more courses on regularization and inverse A Remarkable Collection defi nitions of stochastic integration for recent topics such as Function Spaces, problems at the graduate level. fBm, and to give applications of the Atomic Decompositions, Singular of Babylonian resulting theory. Particular emphasis is 2009. Approx. 335 p. 72 illus. (Applied Integrals of Nonconvolution Type, and placed on studying the relations Mathematical Texts Mathematical Sciences, Volume 167) Weighted Inequalities. between the diff erent approaches. Hardcover page 1076 ISBN 978-0-387-30931-6 $79.95 2008. XII, 332 p. (Probabilty and Its Applications) Hardcover ISBN 978-1-85233-996-8 $99.00 Uncovering a New L-function Sign Up for New Book Alerts at springer.com page 1088 Washington Meeting 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 page 1169 Write: Springer Distribution 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. 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BENEDETTO, University of Maryland, College SØREN FOURNAIS, University of Aarhus, Denmark; CÉSAR R. DE OLIVEIRA, Federal University of São Carlos, Park, USA; WOJCIECH CZAJA, University of Maryland, BERNARD HELFFER, University Paris-Sud and CNRS, Brazil College Park, USA France This is an introductory textbook on spectral theory This textbook begins with the fundamentals of classical These two expert researchers in the fi eld present a of (unbounded) self-adjoint operators and quantum real variables and leads to Lebesgue’s defi nition of the comprehensive treatment of key results concerning dynamics. It is written in an understandable, yet integral, the theory of integration and the structure of the Ginzburg-Landau (GL) functional. Spectral Methods formal style, intended for graduate (or advanced measures in a measure theoretical format. The core in Surface Superconductivity examines in detail the undergraduate) students and researchers interested chapters are followed by chapters of a topical nature, two- and three-dimensional cases of the GL functional in mathematical physics. The book starts with which illuminate the authors’ intellectual vision of modern as they pertain to superconductivity. Also, instances of linear operator theory, spectral questions and self- real analysis. These topics include weak convergence, the large GL parameter kappa are covered, and a variety adjointness, and ends with the effect of spectral type Riesz representation theorem, the Lebesgue differential of exercises and open problems are discussed to on the large time behaviour of quantum systems. Many theorem, and self-similar sets and fractals. Historical further the readers’ understanding of the material. examples and exercises are included and are usually remarks, illuminating problems and examples, and The authors have provided a great introduction to guided by quantum mechanics. appendices on functional analysis and Fourier analysis the applications of partial differential equations and provide insight into the theory and its applications. spectral theory. 2009/APPROX. 440 PP./HARDCOVER ISBN 9783764387945/$74.95 The self-contained and fundamental coverage of the 2009/APPROX. 300 PP./HARDCOVER PROGRESS IN MATHEMATICAL PHYSICS, VOLUME 54 theories of integration, differentiation, and modern ISBN 9780817647964/$79.95 TENT. analysis make this text ideal for graduate students in PROGRESS IN NONLINEAR DIFFERENTIAL EQUATIONS the classroom setting. AND THEIR APPLICATIONS New in the Modern Birkhäuser Classics 2009/APPROX.