Birkhäuser Mathematics Catalog 2007 New and recent titles Journals Distribution Centres Editorial Matters All countries excluding USA / Canada / Latin America Birkhäuser Verlag AG those listed below: Birkhäuser Boston, Inc. P.O. Box 133 Birkhäuser Customer Service 333 Meadowlands Parkway CH – 4010 Basel c/o SDC Secaucus, NJ 07094-2491, USA Tel: +41 / 61 / 2 05 07 07 Haberstrasse 7 Tel.: +1 / 800 / 777 4643 Fax: +41 / 61 / 2 05 07 92 D-69126 Heidelberg Fax: +1 / 201 / 348 4505 Tel.: +49 / 6221 / 345 0 e-mail: [email protected] Editors: Fax: +49 / 6221 / 345 42 29 www.birkhauser.com Dr. Thomas Hempfling e-mail: [email protected] Executive Editor Mathematics/Physics Switzerland / Liechtenstein [email protected] Balmer Bücherdienst AG Customer Service Dr. Stefan Göller Bösch 41 Editor CH-6331 Hünenberg Computational Sciences and Tel.: +41 / 41 / 726 98 00 Engineering, History of Science Fax: +41 / 41 / 726 98 01 [email protected] e-mail: [email protected] Austria / Eastern Europe Peter Nosoli / Alfred Bruckner Birkhäuser Boston, Inc. Birkhäuser Verlag AG 675, Massachussets Avenue c/o Springer Verlag Wien Cambridge, MA 02139 / USA Sachsenplatz 4-6 P.O. Box 89, A-1201 Wien Editors: Tel.: +43 / 1 / 330 24 15 /248 od. 224 Ann Kostant Fax: +43 / 1 / 330 24 26 62 Executive Editor e-mail: [email protected] Mathematics/Physics [email protected] Australia / New Zealand Order information for journals: Tom Grasso D.A. Information Services Birkhäuser Customer Service Journals Editor 648 Whitehorse Road c/o SDC Computational Sciences Mitcham Vic 3132 Haberstrasse 7 and Engineering Australia 69129 Heidelberg [email protected] Tel.: +613 / 9210 7777 Germany Fax: +613 / 9210 7788 Tel. ++49 6221 345 4303 Part of Springer Science + e-mail: [email protected] Fax ++49 6221 345 4229 Business Media e-Mail: [email protected] China or Unit 1702, Tower I, Enterprise Square, 9 [email protected] Sheung Yuet Road, Kowloon Bay Hongkong Customer Service: Customers originated in USA and Ms Stephanie Lai Canada please use book order Tel.: +852 / 2723 - 9698 addresses. Fax: +852 / 2724 - 2366 e-mail: [email protected] Contents Series Index ACM Advanced Courses in Mathematics 25 Mathematical Series 2 AMFM Advances in Mathematical Fluid Mechanics 56 Logic / Set Theory 36 AISDG Annals of the International Combinatorics / Graph Theory 37 Society of Dynamic Games 83 Lattice Theory 38 ANHA Applied and Numerical Harmonic Analysis 81 Number Theory 39 APDE Advances in Partial Differential Equations 49 Algebra 40 BAT Birkhäuser Advanced Texts 27 Geometry / Topology 43 CM Contemporary Mathematicians 104 Analysis / Operator Theory 46 CE Control Engineering 66 Systems and Control 64 The Collected Scientific Papers of the Bernoulli Family 109 Probability and Statistics 69 COR Cornerstones 28 Mathematical Physics 74 DMV DMV Seminar (now: OWS – Oberwolfach Seminars) 23 Numerical and Computational ES Einstein Studies 101 Mathematics / Applications 79 FM Frontiers in Mathematics 18 Computer Algebra 92 GM Grundstudium Mathematik 33 General Mathematics 94 ISNM International Series of Numerical Mathematics 79 Allgemeine Titel in deutscher Sprache 98 LM Lectures in Mathematics 21 History of Science 99 LOLS Linear Operators and Linear Systems 47 Journals 110 MMA Monographs in Mathematics 14 Author / Editor Index 120 MMN Monografie Matematyczne 12 Order form 125 MSSET Modeling and Simulation in Science, Engineering and Technology 84 MTA Mathematics: Theory and Applications 16 OWS Oberwolfach Seminars 23 OT Operator Theory: Advances and Applications 46 PA Probability and its Applications 69 PCS Progress in Computer Science and Applied Logic 86 PM Progress in Mathematics 2 PMP Progress in Mathematical Physics 74 PNLDE Progress in Nonlinear Differential Equations and Their Applications 53 PP Progress in Probability 70 SNHS Science Networks · Historical Studies 99 SIT Statistics for Industry and Technolgy 71 SC Systems and Control: Foundations and Applications 64 TM Trends in Mathematics 30 VM Vita Mathematica 102 Mathematical Series PM PM Progress in Mathematics Edited by Boutet de Monvel, A., Université Unterberger, A., Université de Reims, Hyman Bass, University of Paris VII, France / Buchholz, D., France Michigan, USA Universität Göttingen, Germany / The Fourfold Way in Real Joseph Oesterlé, Institut Henri Iagolnitzer, D., CEA/Saclay, Gif- Analysis Poincaré, Université, Paris VI, France sur-Yvette, France / Moschella, U., An Alternative to the Metaplectic Università dell’Insubria, Como, Italy Alan Weinstein, University of Representation California, Berkeley, USA (Eds) Rigorous Quantum Field 2006. X, 220 p. Hardcover Progress in Mathematics is a series Theory € 78.– / CHF 128.– of books intended for professional A Festschrift for Jacques Bros ISBN 3-7643-7544-2 mathematicians and scientists, PM – Vol. 250 encompassing all areas of pure 2006. Approx. 332 p. Hardcover mathematics. This distinguished € 68.– / CHF 118.– The fourfold way starts with the series, which began in 1979, includes ISBN 3-7643-7433-0 consideration of entire functions of one research level monographs, polished PM – Vol. 251 variable satisfying specific estimates notes arising from seminars or Due in Autumn 2006 at infinity, both on the real line and the pure imaginary line. A major lecture series, graduate level part of classical analysis, mainly that textbooks, and proceedings of Jacques Bros has greatly advanced which deals with Fourier analysis and focused and refereed conferences. our present understanding of related concepts, can then be given a It is designed as a vehicle for rigorous quantum field theory through numerous fundamental parameter-dependent analogue. The reporting ongoing research as well contributions. The impact of his work parameter is some real number modulo as expositions of particular subject is also visible in several articles in this 2, the classical case being obtained areas. 2 book. Quantum fields are considered as when it is an integer. The space L (R) genuine mathematical objects, whose has to give way to a pseudo-Hilbert various properties and relevant physical space, on which a new translation- interpretations have to be studied in a invariant integral still exists. All this well-defined mathematical framework. extends to the n-dimensional case, and in the alternative to the metaplectic Key topics: Analytic structures of QFT, representation so obtained, it is the renormalization group methods, gauge space of Lagrangian subspaces of R2n QFT, stability properties and extension hat plays the usual role of the complex of the axiomatic framework, QFT on Siegel domain. In fourfold analysis, the models of curved spacetimes, QFT on spectrum of the harmonic oscillator noncommutative Minkowski spacetime. can be an arbitrary class modulo the integers. Even though the whole development touches upon notions of representation theory, pseudodifferential operator theory, and algebraic geometry, it remains completely elementary in all these aspects. The book should be of interest to researchers working in analysis in general, in harmonic analysis, or in mathematical physics. 2 PM Kock, J., Universitat Autònoma de Bartholdi, L., Ecole Polytechnique Baues,as contributed H.-J., Max-Planck-Institut a lot in shaping our für Barcelona, Spain / Vainsencher, I., Fédérale, Lausanne, Switzerland / Mathematik,understanding Bonn, on how Germany materials work Universidade Federal de Minas Gerais, Ceccherini-Silberstein, T., Università Theand perform. Algebra There of is, Secondary however, a recent Pampulha - Belo Horizonte, Brazil degli Studi del Sannio, Benevento, Italy / Cohomologyrenewed interest inOperations this subject as a An Invitation to Quantum Smirnova-Nagnibeda, T., University consequence of the fruitful interaction of Geneva, Switzerland / Zuk, A., between2006. XXXII, mathematical 483 p. Hardcover analysis and Cohomology € Université Pierre et Marie Curie, Paris, the 118.– modelling / CHF of 198.– new, technologically Kontsevich's Formula for Rational France (Eds) advancedISBN 3-7643-7448-9 materials. Plane Curves PM – Vol. 247 Infinite Groups: Geometric, This volume collects articles about the study of BV vector fields, path 2006. XII, 172 p. Hardcover Combinatorial and Dynamical functionalsThe algebra over of primary Wasserstein cohomology spaces, € 42.– / CHF 68.– Aspects variationaloperations approachescomputed by to the quasi-static well- ISBN 0-8176-4456-3 2005. 413 p. 26 illus. Hardcover evolution,known Steenrod free-discontinuity algebra is one problems of PM – Vol. 249 € 78.– / CHF 128.– withthe most applications powerful to tools fracture of algebraic and Due in Autumn 2006 ISBN 3-7643-7446-2 plasticity,topology. Thissystems book with computes hysteresis the or PM – Vol. 248 withalgebra interfacial of secondary energies, cohomology evolution This book is an elementary ofoperations interfaces, which multi-scale enriches analysis the structure in introduction to stable maps and This book offers a panorama of recent ferromagnetismof the Steenrod algebraand ferroelectricity, in a new and quantum cohomology, starting with advances in the theory of infinite variationalunexpected techniques way. for the study of an introduction to stable pointed groups. It contains survey papers crystalThe book plasticity, solves aof long-standing dislocations, and curves, and culminating with a proof contributed by leading specialists ofproblem concentrations on the algebra in Ginzburg-Landau of secondary of the associativity of the quantum in group