Birkhäuser Mathematics Catalog 2007 New and recent titles
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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.
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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 theory and other areas of functionals,cohomology concentrated operations by contact developing product. The viewpoint is mostly that mathematics. Topics addressed in interactions,a new algebraic and theoryphase oftransitions such in of enumerative geometry, and the the book include amenable groups, biaxialoperations. liquid The crystals. results have strong red thread of the exposition is the Kaehler groups, automorphism groups impact on the Adams spectral sequence problem of counting rational plane of rooted trees, rigidity, C*-algebras, and hence on the computation of curves. Emphasis is given throughout random walks on groups, pro-p groups, homotopy groups of spheres. the exposition to examples, heuristic Burnside groups, parafree groups, and discussions, and simple applications Fuchsian groups. The accent is put on of the basic tools to best convey strong connections between group the intuition behind the subject. The theory and other areas of mathematics, book demystifies these new quantum such as dynamical systems, geometry, techniques by showing how they fit operator algebras, probability theory, into classical algebraic geometry. and others. This interdisciplinary Each chapter concludes with some approach makes the book interesting historical comments and an outline to a large mathematical audience. of key topics and themes as a guide for further study, followed by a Contributors: collection of exercises that complement G. Baumslag, A.V. Borovik, T. Delzant, the material covered and reinforce W. Dicks, E. Formanek, R. Grigorchuk, computational skills. As such, the book M. Gromov, P. de la Harpe, A. Lubotzky, is ideal for self-study, as a text for a W. Lück, A.G. Myasnikov, C. Pache, G. mini-course in quantum cohomology, Pisier, A. Shalev, S. Sidki, E. Zelmanov or as a special topics text in a standard course in intersection theory.
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Dragomir, S., Università della Fels, G., University of Tübingen, Etingof, P. , Massachusetts Institute of Basilicata, Romana, Potenza, Italy / Germany / Huckleberry, A. , University Technology, Cambridge, MA, USA / Tomassini, G. , Scuola Normale of Bochum, Germany / Wolf, J.A., Retakh, V. , Rutgers University, Superiore, Pisa, Italy University of California, Berkeley, CA, Piscataway, NJ, USA / Singer, I.M. , Differential Geometry and USA Massachusetts Institute of Technology, Analysis on CR Manifolds Cycle Spaces of Flag Domains Cambridge, MA, USA (Eds) 2006. XIV, 487 p. Hardcover A Complex Geometric Viewpoint The Unity of Mathematics € 92.– / CHF 142.– In Honor of the Ninetieth Birthday ISBN 0-8176-4388-5 2006. XX, 339 p. Hardcover of I.M. Gelfand € PM – Vol. 246 58.– / CHF 88.– ISBN 0-8176-4391-5 2006. XXII, 632 p. 41 illus. Hardcover € This monograph provides a unified PM – Vol. 245 98.– / CHF 152.– presentation of several differential ISBN 0-8176-4076-2 geometric aspects in the theory of This monograph, divided into four parts, PM – Vol. 244 CR manifolds and tangential Cauchy- presents a comprehensive treatment Riemann equations. It presents and systematic examination of cycle A tribute to the vision and legacy the major differential geometric spaces of flag domains. Assuming only of Israel Moiseevich Gelfand, the acheivements in the theory of CR a basic familiarity with the concepts invited papers in this volume reflect manifolds, such as the Tanaka-Webster of Lie theory and geometry, this work the unity of mathematics as a connection, Fefferman's metric, presents a complete structure theory whole, with particular emphasis pseudo-Einstein structures and the Lee for these cycle spaces, as well as their on the many connections among conjecture, CR immersions, subelliptic applications to harmonic analysis and the fields of geometry, physics, and harmonic maps as a local manifestation algebraic geometry. representation theory. Written by of pseudoharmonic maps from a CR leading mathematicians, the text is manifold, Yang-Mills fields on CR Key features: broadly divided into two sections: the manifolds, to name a few. It also aims · Accessible to readers from a wide first is devoted to developments at the at explaining how certain results from range of fields, with all the necessary intersection of geometry and physics, analysis are employed in CR geometry. background material provided for the and the second to representation Motivated by clear exposition, many nonspecialist theory and algebraic geometry. Topics examples, explicitly worked-out · Many new results presented for the include conformal field theory, K-theory, geometric results, and stimulating first time noncommutative geometry, gauge unproved statements and comments · Driven by numerous examples theory, representations of infinite- referring to the most recent aspects of · The exposition is presented from the dimensional Lie algebras, and various the theory, this monograph is suitable complex geometric viewpoint, but the aspects of the Langlands program. for researchers and graduate students methods, applications and much of in differential geometry, complex the motivation also come from real Contributors: analysis, and PDEs. and complex algebraic groups and M. Atiyah; A. Braverman; H. Brezis; T. their representations, as well as other Coates; A. Connes; S. Debacker; areas of geometry V. Drinfeld; L.D. Faddeev; M. Finkelberg; · Comparisons with classical Barlet D. Gaitsgory; I.M. Gelfand; A. Givental; cycle spaces are given D. Kazhdan; M. Kontsevich; B. Kostant; · Good bibliography and index C-H. Liu; K. Liu; G. Lusztig; D. McDuff; M. Movshev; N.A. Nekrasov; A. Okounkov; N. Reshetikhin; A. Schwarz; Y. Soibelman; C. Vafa; A.M. Vershik; N. Wallach; and S-T. Yau.
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Bernstein, J. , University of Tel Aviv, Dufour, J.-P., Université de Montpellier, Seade, J. , Universidad Nacional Israel / Hinich, V. / Melnikov, A. , both France / Zung, N.T. , Université Paul Autónoma de México University of Haifa, Israel (Eds) Sabatier, Toulouse, France On the Topology of Isolated Studies in Lie Theory Poisson Structures and Their Singularities in Analytic Dedicated to A. Joseph on his Normal Forms Spaces Sixtieth Birthday 2005. XV, 321 p. Hardcover 2006. XIV, 238 p. Hardcover € 48.– / CHF 78.– € 48.– / CHF 78.– 2006. XXII, 494 p. 2 illus. Hardcover ISBN 3-7643-7334-2 ISBN 3-7643-7322-9 € 88.– / CHF 138.– PM – Vol. 242 PM – Vol. 241 ISBN 0-8176-4342-7 Winner of the Ferran PM – Vol. 243 Poisson manifolds play a fundamental Sunyer i Balaguer Prize role in Hamiltonian dynamics, where 2005 Dedicated to Anthony Joseph, this they serve as phase spaces. They also volume contains surveys and invited arise naturally in other mathematical The aim of this book is to give an articles by leading specialists in problems, and form a bridge from overview of selected topics on the representation theory. The focus here the "commutative world" to the topology of real and complex isolated is on semisimple Lie algebras and "noncommutative world". The aim singularities, with emphasis on its quantum groups, where the impact of of this book is twofold: On the one relations to other branches of geometry Joseph's work has been seminal and hand, it gives a quick, self-contained and topology. has changed the face of the subject. introduction to Poisson geometry and The first chapters are mostly devoted to Two introductory biographical related subjects, including singular complex singularities and a myriad of overviews of Joseph's contributions foliations, Lie groupoids and Lie results spread in a vast literature, which in classical representation theory algebroids. On the other hand, it are presented here in a unified way, (the theory of primitive ideals in presents a comprehensive treatment accessible to non-specialists. Among semisimple Lie algebras) and quantized of the normal form problem in Poisson the topics are the fibration theorems of representation theory (the study of geometry. Even when it comes to Milnor; the relation with 3-dimensional the quantized enveloping algebra) classical results, the book gives new Lie groups; exotic spheres; spin are followed by 16 research articles insights. It contains results obtained structures and 3-manifold invariants; covering a number of varied and over the past 10 years which are not the geometry of quadrics and Arnold's interesting topics in representation available in other books. theorem which states that the complex theory. projective plane modulo conjugation is the 4-sphere. The second part of the book studies pioneer work about real analytic singularities which arise from the topological and geometric study of holomorphic vector fields and foliations. In the low dimensional case these turn out to be related to fibred links in the 3-sphere defined by meromorphic functions. This provides new methods for constructing manifolds equipped with a rich geometry. The book is largely self-contained and serves a wide audience of graduate students, mathematicians and researchers interested in geometry and topology. 5 Mathematical Series PM
Ambrosetti, A. / Malchiodi, A., van der Geer, G. / Moonen, B. , Sabadini, I. , Politecnico di Milano, both SISSA, Trieste, Italy both University of Amsterdam, The Italy / Struppa, D.C. / Walnut, D.F. , Perturbation Methods and Netherlands / Schoof, R. , Università di both George Mason University, Fairfax, Semilinear Elliptic Problems Roma "Tor Vergata", Roma, Italy (Eds) VA, USA (Eds) on Rn Number Fields and Function Harmonic Analysis, Signal 2006. IX, 183 p. Hardcover Fields – Two Parallel Worlds Processing, and Complexity € 42.– / CHF 68.– 2005. XIV, 318 p. 7 tables. Hardcover Festschrift in Honor of the 60th ISBN 3-7643-7321-0 € 72.– / CHF 108.– Birthday of Carlos A. Berenstein PM – Vol. 240 ISBN 0-8176-4397-4 Winner of the Ferran PM – Vol. 239 2005. XI, 162 p. 15 illus. Hardcover € Sunyer i Balaguer Prize 62.– / CHF 98.– 2005 Ever since the analogy between ISBN 0-8176-4358-3 number fields and function fields was PM – Vol. 238 The aim of this monograph is to discuss discovered, it has been a source of several elliptic problems on Rn with two inspiration for new ideas, and a long Carlos A. Berenstein has had a main features: they are variational and history has not in any way detracted profound influence on scholars and perturbative in nature, and standard from the appeal of the subject. practitioners alike amid a distinguished tools of nonlinear analysis based on As a deeper understanding of this mathematical career spanning nearly compactness arguments cannot be analogy could have tremendous four decades. His uncommon capability used in general. For these problems, consequences, the search for a of adroitly moving between these a more specific approach that takes unified approach has become a sort parallel worlds is demonstrated by advantage of such a perturbative of Holy Grail. The arrival of Arakelov's the breadth of his research interests, setting seems to be the most new geometry that tries to put the from his early theoretical work on appropriate. The first part of the book is archimedean places on a par with the interpolation in spaces of entire devoted to these abstract tools, which finite ones gave a new impetus and functions with growth conditions and provide a unified frame for several led to spectacular success in Faltings' residue theory to his later work on applications, often considered different hands. There are numerous further deconvolution and its applications in nature. examples where ideas or techniques to issues ranging from optics to the Such applications are discussed in the from the more geometrically-oriented study of blood flow. This volume, which second part, and include semilinear world of function fields have led to celebrates his sixtieth birthday, reflects elliptic problems on Rn, bifurcation from new insights in the more arithmetically- the state-of-the-art in these areas. the essential spectrum, the prescribed oriented world of number fields, or Original articles and survey articles, scalar curvature problem, nonlinear vice versa. all refereed, cover topics in harmonic Schrödinger equations, and singularly These invited articles by leading and complex analysis, as well as more perturbed elliptic problems in domains. researchers in the field explore various applied work in signal processing. These topics are presented in a aspects of the parallel worlds of systematic and unified way. function fields and number fields. Topics range from Arakelov geometry, the search for a theory of varieties over the field with one element, via Eisenstein series to Drinfeld modules, and t-motives.
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PM 235: Bogomolov, F. / Tschinkel, Y. (Eds) Geometric Methods in Algebra and Number Theory (2005) € 78.– / CHF 118.– ISBN 0-8176-4349-4 Textbook Kulish, P.P. , Steklov Mathematical Hotta, R. , Okayama University Institute, St. Petersburg, Russia / of Science, Japan / Takeuchi, K. , PM 234: Kowalski, O. / Musso, E. / Manojlovic, N. , Universidade do University of Tsukuba, Japan / Perrone, D. (Eds) Algarve, Faro, Portugal / Tanisaki, T., Osaka City University, Complex, Contact and Symmetric Samtleben, H. , Utrecht University, The Japan Manifolds Netherlands (Eds) D-Modules, Perverse Sheaves, In Honor of L. Vanhecke (2005) € Infinite Dimensional Algebras and Representation Theory 98.– / CHF 164.– ISBN 0-8176-3850-4 and Quantum Integrable 2007. Approx. 350 p. Hardcover Systems € Approx. 92.– / CHF 150.– PM 233: David, G. 2005. VIII, 263 p. Hardcover ISBN 0-8176-4363-X Singular Sets of Minimizers for the € 88.– / CHF 138.– PM – Vol. 236 Mumford-Shah Functional (2005) ISBN 3-7643-7215-X Due in Autumn 2006 € 108.– / CHF 178.– PM – Vol. 237 Textbook ISBN 3-7643-7182-X Winner of the Ferran This volume presents the invited This work examines in detail the Sunyer i Balaguer Prize lectures of the workshop "Infinite foundations of D-module theory and its 2004 Dimensional Algebras and Quantum intersection with cohomology groups Integrable Systems'' held in July 2003 and representation theory. PM 232: Marsden, J.E. / Ratiu, T.S. at the University of Algarve, Faro, This systematic and carefully written (Eds) Portugal, as a satellite workshop exposition begins with preliminary The Breadth of Symplectic and of the XIV International Congress concepts before focusing on some Poisson Geometry on Mathematical Physics. Recent basic but important theories that have Festschrift in Honor of Alan Weinstein developments in the theory of infinite emerged in the last few decades. (2005) dimensional algebras and their Significant topics that have emerged € 98.– / CHF 162.– applications to quantum integrable as studies in their own right include a ISBN 0-8176-3565-3 systems are reviewed by some of the treatment of the theory of holonomic leading experts in the field. The volume D-modules, perverse sheaves, the PM 231: Brion, M. / Kumar, S. will be of interest to a broad audience, Riemann-Hilbert correspondence, Frobenius Splitting Methods in from graduate students to researchers Hodge modules, and Kazhdan-Lusztig Geometry and Representation in mathematical physics and related polynomials. To further aid the reader, Theory (2005) fields. appendices are provided as reviews for € 72.– / CHF 116.– the theory of derived categories and ISBN 0-8176-4191-2 algebraic varieties. Textbook D-modules, Perverse Sheaves, and Representation Theory is a unique and PM 230: Anker, J.-P. / Orsted, B. (Eds) essential textbook at the graduate Lie Theory level for classroom use or self-study. Harmonic Analysis on Symmetric Spaces Graduate students and researchers in – General Plancherel Theorems (2005) algebra and representation theory will € 78.– / CHF 118.– benefit greatly from this work. ISBN 0-8176-3777-X
7 Mathematical Series PM
PM 229: Anker, J.-P. / Orsted, B. PM 223: Andreu-Vaillo, F. / PM 216: Borovik, A.V. / (Eds) Caselles, V. / Mazon, J.M. Gelfand, I.M. / White, N. Lie Theory Parabolic Quasilinear Equations Coxeter Matroids (2003) Unitary Representations and Minimizing Linear Growth € 108.– / CHF 168.– Compactifications of Symmetric Spaces Functionals (2004) ISBN 0-8176-3764-8 (2005) € 88.– / CHF 140.– Textbook € 78.– / CHF 118.– ISBN 3-7643-6619-2 ISBN 0-8176-3526-2 Winner of the Ferran PM 215: Arone, G. / Hubbuck, J. / Sunyer i Balaguer Prize Levi, R. / Weiss, M. (Eds) PM 228: Anker, J.-P. / Orsted, B. 2003 Categorical Decomposition (Eds) Techniques in Algebraic Topology Lie Theory PM 222: Ortega, J.-P. / Ratiu, T.S. (2004) Lie Algebras and Representations Momentum Maps and Hamiltonian € 88.– / CHF 145.– (2004) Reduction (2004) ISBN 3-7643-0400-6 € 78.– / CHF 120.– € 77.– / CHF 118.– ISBN 0-8176-3373-1 ISBN 0-8176-4307-9 PM 214: Dungey, N. / Textbook ter Elst, A.F.M. / Robinson, D.W. PM 227: Lepowsky, J. / Li, H. Winner of the Ferran Analysis on Lie Groups with Introduction to Vertex Sunyer i Balaguer Prize Polynomial Growth (2003) Operator Algebras and Their 2000 € 98.– / CHF 148.– Representations (2004) ISBN 0-8176-3225-5 € 98.– / CHF 154.– PM 221: Gray, A. Textbook ISBN 0-8176-3408-8 Tubes Textbook 2nd ed. (2004) PM 213: Duval, C. / Guieu, L. / € 68.– / CHF 112.– Ovsienko, V. PM 226: Poonen, B. / ISBN 3-7643-6907-8 The Orbit Method in Geometry Tschinkel, Y. (Eds) and Physics Arithmetic of Higher-Dimensional PM 220: Delorme, P. / Vergne, M. In Honor of A.A. Kirillov (2003) Algebraic Varieties (2004) (Eds) € 148.– / CHF 218.– € 64.– / CHF 113.– Noncommutative Harmonic ISBN 0-8176-4232-3 ISBN 0-8176-3259-X Analysis In Honor of Jacques Carmona (2004) PM 212: Lubotzky, A. / Segal, D. PM 225: Andersson, M. / € 98.– / CHF 152.– Subgroup Growth (2003) Passare, M. / Sigurdsson, R. ISBN 0-8176-3207-7 € 98.– / CHF 158.– Complex Convexity and Analytic ISBN 3-7643-6989-2 Functionals (2004) PM 219: Suris, Y. B. Winner of the Ferran € 78.– / CHF 124.– The Problem of Integrable Sunyer i Balaguer Prize ISBN 3-7643-2420-1 Discretization: Hamiltonian 2002 Approach (2003) PM 224: Cremona, J. / Lario, J.-C. / € 148.– / CHF 228.– PM 211: Hernández-Lerma, O. / Quer, J., / Ribet, K. (Eds) ISBN 3-7643-6995-7 Lasserre, J.B. Modular Curves and Abelian Markov Chains and Invariant Varieties (2004) PM 218: Fresnel, J. / Probabilities (2003) € 88.– / CHF 142.– van der Put, M. € 62.– / CHF 98.– ISBN 3-7643-6586-2 Rigid Analytic Geometry and Its ISBN 3-7643-7000-9 Applications (2003) € 95.– / CHF 144.– PM 210: Joseph, A. / Melnikov, A. / ISBN 0-8176-4206-4 Rentschler, R. (Eds) Studies in Memory of Issai Schur PM 217: Thangavelu, S. (2003) An Introduction to the Uncertainty € 118.– / CHF 208.– Principle ISBN 0-8176-4208-0 Hardy's Theorem on Lie Groups (2004) € 88.– / CHF 130.– 8 ISBN 0-8176-4330-3 PM
PM 209: Unterberger, A. PM 201/202: Casacuberta, C. / PM 197: Cherix, P.-A. / Cowling, M. / Automorphic Pseudodifferential Miró-Roig, R.M. / Verdera, J. / Jolissaint, P. / Julg, P. / Valette, A. Analysis and Higher Level Weyl Xambó-Descamps, S. (Eds) Groups with the Haagerup Calculi (2003) European Congress of Property € 88.– / CHF 142.– Mathematics Barcelona, Gromov's a-T-menability (2001) ISBN 3-7643-6909-4 July 10-14, 2000, € 58.– / CHF 98.– Winner of the Ferran Set (2001) ISBN 3-7643-6598-6 Sunyer i Balaguer Prize € 188.– / CHF 348.– 2002 ISBN 3-7643-6419-X PM 196: Aguade, J. / Broto, C. / Casacuberta, C. (Eds) PM 208: Turaev, V. PM 202: Casacuberta, C. / Cohomological Methods in Torsions of 3-dimensional Miro-Roig, R.M. / Verdera, J. / Homotopy Theory Manifolds (2003) Xambo-Descamps, S. (Eds) (2001) € 82.– / CHF 132.– European Congress of € 128.– / CHF 198.– ISBN 3-7643-6911-6 Mathematics ISBN 3-7643-6588-9 Barcelona, July 10-14, 2000 PM 207: Long, Y. Volume II (2001) PM 195: van der Geer, G. / Faber, C. / Index Theory for Symplectic Paths € 128.– / CHF 208.– Oort, F. (Eds) with Applications (2002) ISBN 3-7643-6418-1 Moduli of Abelian Varieties (2001) € 118.– / CHF 188.– € 128.– / CHF 198.– ISBN 3-7643-6647-8 PM 201: Casacuberta, C. / ISBN 3-7643-6517-X Miro-Roig, R.M. / Verdera, J. / PM 206: Snaith, V.P. Xambo-Descamps, S. (Eds) PM 193: Knudson, K.P. Algebraic K-Groups as Galois European Congress of Homology of Linear Groups (2001) Modules (2002) Mathematics € 88.– / CHF 128.– € 108.– / CHF 178.– Barcelona, July 10-14, 2000, ISBN 3-7643-6415-7 ISBN 3-7643-6717-2 Volume I (2001) € 128.– / CHF 208.– PM 192: Dehornoy, P. PM 205: Bouwknegt, P. / Wu, S. ISBN 3-7643-6417-3 Braids and Self-Distributivity (Eds) (2000) Geometric Analysis and PM 200: Golubitsky, M. / Stewart, I. € 99.– / CHF 158.– Applications to Quantum Field The Symmetry Perspective ISBN 3-7643-6343-6 Theory (2002) From Equilibrium to Chaos in Phase Winner of the Ferran € 54.– / CHF 95.50 Space and Physical Space (2002) Sunyer i Balaguer Prize ISBN 0-8176-4287-0 € 78.– / CHF 148.– 1999 Textbook ISBN 3-7643-6609-5 (Hardcover) Winner of the Ferran PM 191: Kashiwara, M. / Miwa, T. PM 204: Kumar, S. Sunyer i Balaguer Prize (Eds) Kac-Moody Groups, their Flag 2001 Physical Combinatorics (2000) Varieties and Representation € 108.– / CHF 178.– Theory (2002) € 42.– / CHF 68.– ISBN 0-8176-4175-0 € 108.– / CHF 168.– ISBN 3-7643-2171-7 (Softcover) Textbook ISBN 0-8176-4227-7 Textbook PM 199: Peyre, E. / Tschinkel, Y. PM 190: Essen, A. (Eds) Polynomial Automorphisms PM 203: Blair, D.E. Rational Points on Algebraic and the Jacobian Conjecture (2000) Riemannian Geometry of Contact Varieties (2001) € 88.– / CHF 138.– and Symplectic Manifolds (2002) € 98.– / CHF 158.– ISBN 3-7643-6350-9 € 98.– / CHF 158.– ISBN 3-7643-6612-5 ISBN 0-8176-4261-7
9 Mathematical Series PM
PM 188: Dolbeault, P. / Iordan, A. / PM 177: Lange, H. / B irkenhake, C. PM 169: Balog, A. / Szasz, D. / Henkin, G. / Skoda, H. / Complex Tori (1999) Recski, A. / Katona, G.O.H. (Eds) Trepreau, J.-M. (Eds) € 108.– / CHF 128.– European Congress of Complex Analysis and Geometry ISBN 0-8176-4103-3 Mathematics 1996 International Conference in Honor Volume 2 (1997) of Pierre Lelong (2000) PM 176: Bass, H. / Lubotzky, A. € 158.– / CHF 228.– € 88.– / CHF 138.– Tree Lattices (2001) ISBN 3-7643-5498-4 ISBN 3-7643-6352-5 € 98.– / CHF 108.– ISBN 0-8176-4120-3 PM 168: Balog, A. / Szasz, D. / PM 185: Faraut, J. / Kaneyuki, S. / Recski, A. / Katona, G.D.H. (Eds) Koranyi, A. / Lu, Q.-. / Roos, G. PM 175: Banuelos, R. / Moore, C.N. European Congress of Analysis and Geometry on Probabilistic Behavior of Mathematics 1996 Complex Homogeneous Domains Harmonic Functions (1999) Volume 1 (1997) (2000) € 88.– / CHF 128.– € 158.– / CHF 228.– € 108.– / CHF 128.– ISBN 3-7643-6062-3 ISBN 3-7643-5497-6 ISBN 0-8176-4138-6 Textbook PM 174: Goerss, P.G. / Jardine, J.F. PM 167: Facchini, A. Simplicial Homotopy Theory (1999) Module Theory PM 184: Sautoy, M. / Segal, D. / € 88.– / CHF 138.– Endomorphism rings and direct sum Shalev, A. (Eds) ISBN 3-7643-6064-X decompositions in some classes of New Horizons in pro-p Groups modules (1998) (2000) PM 172: Brylinski, J.-L. / € 108.– / CHF 168.– € 158.– / CHF 188.– Brylinski, R. / Nistor, V. ISBN 3-7643-5908-0 ISBN 0-8176-4171-8 Advances in Geometry and Mathematical Physics PM 165: Migliore, J.C. PM 182: Billey, S. / Lakshmibai, V. Volume 1 (1998) Introduction to Liaison Theory and Singular Loci of Schubert Varieties € 108.– / CHF 168.– Deficiency Modules (1998) (2000) ISBN 0-8176-4044-4 € 88.– / CHF 108.– € 98.– / CHF 128.– ISBN 0-8176-4027-4 ISBN 0-8176-4092-4 PM 171: Reznikov, A . / Schappacher, N. (Eds) PM 164: Roussarie, R. PM 180: Paternain, G.P. Regulators in Analysis, Geometry Bifurcations of Planar Vector Geodesic Flows (1999) and Number Theory (2000) Fields and Hilbert's Sixteenth € 88.– / CHF 118.– € 128.– / CHF 158.– Problem (1998) ISBN 0-8176-4144-0 ISBN 0-8176-4115-7 € 88.– / CHF 138.– ISBN 3-7643-5900-5 PM 179: Morales Ruiz, J.J. PM 170: Paterson, A. (Ed.) Differential Galois Theory and Groupoids, Inverse Semigroups PM 163: Berndt, R. / Schmidt, R. Non-Integrability of Hamiltonian and their Operator Algebras Elements of the Representation Systems (1999) (1998) Theory of the Jacobi Group (1998) € 78.– / CHF 124.– € 108.– / CHF 128.– € 78.– / CHF 124.– ISBN 3-7643-6078-X ISBN 0-8176-4051-7 ISBN 3-7643-5922-6 Winner of the Ferran Sunyer i Balaguer Prize PM 168/169: Balog, A. / Szasz, D. / PM 162: Arnold, V.I. / Greuel, G.-M. / 1998 Recski, A. / Katona, G.O.H. (Eds) Steenbrink, J.H.M. (Eds) European Congress of Singularities PM 178: Puig, L. Mathematics 1996 The Brieskorn Anniversary Volume On the Local Structure of Morita SET (1997) (1998) and Rickard Equivalences € 200.– / CHF 310.– € 118.– / CHF 188.– between Brauer Blocks (1999) ISBN 3-7643-5496-8 ISBN 3-7643-5913-7 € 108.– / CHF 168.– ISBN 3-7643-6156-5
10 PM
PM 161: Sagan, B. / Stanley, R. PM 152: Gromov, M. Festschrift in Honor of Gian-Carlo Metric Structures for Riemannian Rota (1996) and Non-Riemannian Spaces € 168.– / CHF 208.– Based on Structures Metriques des ISBN 0-8176-3872-5 Varietes Riemanniennes 1st ed. 1999. Corr. 2nd printing (2002) PM 160: Kashiwara, A. / € 92.– / CHF 156.– Matsuo, A. / Saito, K. / Satake, I. ISBN 0-8176-3898-9 (Eds) Topological Field Theory: Primitive PM 151: Hummel, C. Form and Related Topics (1997) Gromov's Compactness Theorem € 158.– / CHF 188.– for Pseudo-holomorphic Curves ISBN 0-8176-3975-6 (1997) € 38.– / CHF 58.– PM 159: Thangavelu, S. (Ed.) ISBN 3-7643-5735-5 Harmonic Analysis on the Heisenberg Group (1998) PM 150: Shiota, M. € 78.– / CHF 132.– Geometry of Subanalytic and ISBN 0-8176-4050-9 Semialgebraic Sets (1997) € 168.– / CHF 198.– PM 158: Tirao, J. / Vogan, D. / ISBN 0-8176-4000-2 Wolf, J. (Eds) Geometry and Representation PM 93: Audin, M. Theory of Real and p-Adic Lie Torus Actions on Symplectic Groups (1996) Manifolds € 108.– / CHF 138.– 2nd revised ed. (2004) ISBN 0-8176-3931-4 € 78.– / CHF 128.– Textbook ISBN 3-7643-2176-8
PM 156: Guivarc'h, Y. / Ji, L. / Taylor, J.C. Compactification of Symmetric Spaces (1996) € 108.– / CHF 138.– ISBN 0-8176-3899-7
PM 155: Dragomir, S. / Ornea, L. Locally Conformal Kahler Geometry (1997) € 158.– / CHF 188.– ISBN 0-8176-4020-7
11 Mathematical Series MMN
MMN Monografie Matematyczne New Series Managing Editor: Grigoryan, S.A. , Kazan State Z´ oładek, H. , University of Warsaw, Przemyslaw Wojtaszczyk, University, Russia / Tonev, T.V., Poland IMPAN and Warsaw University, University of Montana, Missoula, MT, The Monodromy Group Poland USA 2006. XI, 580 p. 134 illus. Hardcover Shift-invariant Uniform € 98.– / CHF 168.– Editorial Board: Algebras on Groups ISBN 3-7643-7535-3 Jean Bourgain, IAS, Princeton, USA 2006. 300 p. Hardcover MMN – Vol. 67 Tadeusz Iwaniec, Syracuse € 78.– / CHF 128.– University, USA ISBN 3-7643-7606-6 In singularity theory and algebraic Tom Körner, Cambridge, UK MMN – Vol. 68 geometry the monodromy group is Krystyna Kuperberg, Auburn embodied in the Picard-Lefschetz University, USA The central subject of the book – the formula and the Picard-Fuchs Tomasz Łuczak, Pozna n´ University, theory of shift-invariant algebras – is equations. It has applications in the Poland an outgrowth of the established theory weakened 16th Hilbert problem and Ludomir Newelski, Wrocław of generalized analytic functions. in mixed Hodge structures. In the University, Poland Associated subalgebras of almost theory of systems of linear differential Gilles Pisier, Université Paris 6, periodic functions of real variables equations one has the Riemann-Hilbert France and of bounded analytic functions on problem, the Stokes phenomena and Piotr Pragacz, Institute of the unit disc are carried along within the hypergeometric functions with their Mathematics, Polish Academy the general framework. In particular, multidimensional generalizations. In the theory of homomorphic foliations of Sciences it is shown that the algebra of almost periodic functions with spectrum in a there appear the Ecalle-Voronin- Grzegorz S´ wia¸ tek , semigroup of the reals does not have Martinet-Ramis moduli. On the other Pennsylvania State University, USA a half-plane-corona if and only if all hand, there is a deep connection of Jerzy Zabczyk, Institute of non-negative semicharacters of the monodromy theory with Galois theory Mathematics, Polish Academy semigroup are monotone decreasing, of differential equations and algebraic of Sciences or equivalently, if and only if the functions. All this is presented in this strong hull of the semigroup coincides book, underlining the unifying role of Starting in the 1930s with volumes with the positive half of its group the monodromy group. written by such distinguished envelope. Under the same conditions The material is addressed to a wide mathematicians as Banach, Saks, the corresponding subalgebra of audience, ranging from specialists Kuratowski, and Sierpinski, the bounded analytic functions on the in the theory of ordinary differential original series grew to comprise disc has neither a half-plane-corona equations to algebraic geometers. The 62 excellent monographs up to the nor a disc-corona. There are given book contains a lot of results which are 1980s. In cooperation with characterizations of semigroups such usually spread in many sources. Readers the Institute of Mathematics of that classical theorems of complex can quickly get introduced to modern the Polish Academy of Sciences analysis hold on the associated and vital mathematical theories, such (IMPAN), Birkhäuser now resumes shift-invariant algebras. Bourgain as singularity theory, analytic theory this tradition to publish high quality algebras, orthogonal measures, and of ordinary differential equations, research monographs in all areas primary ideals of big disc algebras are holomorphic foliations, Galois theory, and parts of algebraic geometry, of pure and applied mathematics. described. without searching in vast literature.
12 MMN
MMN 65: Badescu, L. Projective Geometry and Formal Geometry (2004) € 72.– / CHF 118.– ISBN 3-7643-7123-4
Müller, P.F.X. , Johannes Kepler MMN 64: Walczak, P. Universität, Linz, Austria Dynamics of Foliations, Groups Isomorphisms Between H¹ and Pseudogroups (2004) € Spaces 82.– / CHF 132.– ISBN 3-7643-7091-2 2005. XIV, 453 p. Hardcover € 98.– / CHF 158.– ISBN 3-7643-2431-7 MMN 63: Schürmann, J. MMN – Vol. 66 Topology of Singular Spaces and Constructible Sheaves (2003) This book presents a thorough and € 98.– / CHF 158.– self-contained presentation of H¹ ISBN 3-7643-2189-X and its known isomorphic invariants, such as the uniform approximation property, the dimension conjecture, and dichotomies for the complemented subspaces. The necessary background is developed from scratch. This includes a detailed discussion of the Haar system, together with the operators that can be built from it (averaging projections, rearrangement operators, paraproducts, Calderon-Zygmund singular integrals). Complete proofs are given for the classical martingale inequalities of C. Fefferman, Burkholder, and Khinchine- Kahane, and for large deviation inequalities. Complex interpolation, analytic families of operators, and the Calderon product of Banach lattices are treated in the context of Hp spaces. Througout the book, special attention is given to the combinatorial methods developed in the field, particularly J. Bourgain's proof of the dimension conjecture, L. Carleson's biorthogonal system in H¹, T. Figiel's integral representation, W.B. Johnson's factorization of operators, B. Maurey's isomorphism, and P. Jones' proof of the uniform approximation property. An entire chapter is devoted to the study of combinatorics of colored dyadic intervals.
13 Mathematical Series MMA
MMA Monographs in Mathematics
Managing Editors: Triebel, H. , University of Jena, Giga, Y. , University of Tokyo, Japan Amann, H., Universität Zürich, Germany Surface Evolution Equations Switzerland Theory of Function Spaces III A Level Set Approach Bourguignon, J.-P., IHES, 2006. Approx. 448 p. Hardcover Bures-sur-Yvette, France € 128.– / CHF 205.– 2006. XII, 264 p. Hardcover Grove, K., University of Maryland, ISBN 3-7643-7581-7 € 88.– / CHF 148.– College Park, USA MMA – Vol. 100 ISBN 3-7643-2430-9 Lions, P.-L., Université de Paris- MMA – Vol. 99 Dauphine, France This book deals with the recent theory of function spaces as it stands now. This book presents a self-contained Editorial Board: Special attention is paid to some introduction to the analytic foundation Araki, H., Kyoto University developments in the last 10–15 of a level set approach for various Ball, J., Heriot-Watt University, years which are closely related to the surface evolution equations including Edinburgh nowadays numerous applications of curvature flow equations. These Brezzi, F., Università di Pavia the theory of function spaces to some equations are important in many Chang, K.C., Peking University neighbouring areas such as numerics, applications, such as material sciences, image processing and differential Hitchin, N., Warwick signal processing and fractal analysis. geometry. The goal is to introduce a Hofer, H., Courant Institute, New In particular, typical building blocks as generalized notion of solutions allowing York (non-smooth) atoms, quarks, wavelet singularities, and to solve the initial- Knörrer, H., ETH Zürich bases and wavelet frames are discussed in detail and applied afterwards to value problem globally-in-time in a Masuda, K., University of Tokyo some outstanding problems of the generalized sense. Various equivalent Zagier, D., Max-Planck-Institut, Bonn recent theory of function spaces such definitions of solutions are studied. as a local smoothness theory, fractal Several new results on equivalence are The foundation of this outstanding measures, fractal analysis, spaces on also presented. Moreover, structures of book series was laid in 1944. Until the Lipschitz domains and on quasi-metric level set equations are studied in detail. end of the 1970s, a total of 77 spaces. Further, a rather complete introduction volumes appeared, including works The book is essentially self-contained, to the theory of viscosity solutions is of such distinguished mathematicians although it might be also considered contained, which is a key tool for the as Carathéodory, Nevanlinna and as the continuation of the two previous level set approach. Shafarevich, to name a few. The books of the author with the same title. Although most of the results in this series came to its name and present book are more or less known, they appearance in the 1980s. In keeping are scattered in several references, its well-established tradition, only sometimes without proofs. This book monographs of excellent quality presents these results in a synthetic are published in this collection. way with full proofs. Comprehensive, in-depth treatments of areas of current interest are presented to a readership ranging from graduate students to professional mathematicians. Concrete examples and applications both within and beyond the immediate domain of mathematics illustrate the importance and consequences of the theory under discussion. 14 MMA
MMA 98: Palamodov, V. MMA 91: Triebel, H. Reconstructive Integral Geometry Fractals and Spectra (2004) Related to Fourier Analysis and € 68.– / CHF 108.– Function Spaces (1997) ISBN 3-7643-7129-3 € 118.– / CHF 188.– ISBN 3-7643-5776-2 MMA 97: Triebel, H. The Structure of Functions (2001) MMA 90: Tondeur, P. € 98.– / CHF 158.– Geometry of Foliations (1997) ISBN 3-7643-6546-3 € 128.– / CHF 198.– ISBN 3-7643-5741-X MMA 96: Arendt, W. / Batty, C.J.K. / Hieber, M. / Neubrander, F. MMA 89: Amann, H. Vector-valued Laplace Transforms Linear and Quasilinear Parabolic and Cauchy Problems (2001) Problems € 99.– / CHF 158.– Volume I: Abstract Linear Theory (1995) ISBN 3-7643-6549-8 € 118.– / CHF 188.– ISBN 3-7643-5114-4 MMA 95: Timmesfeld, F.G. Abstract Root Subgroups and MMA 84: Triebel, H. Simple Groups of Lie Type (2001) Theory of Function Spaces II € 118.– / CHF 188.– (1992) ISBN 3-7643-6532-3 € 78.– / CHF 124.– ISBN 3-7643-2639-5 MMA 94: Nagasawa, M. Stochastic Processes in Quantum Physics (2000) € 158.– / CHF 238.– ISBN 3-7643-6208-1
MMA 93: Maldeghem, H. Generalized Polygons (1998) € 168.– / CHF 268.– ISBN 3-7643-5864-5
MMA 92: Spring, D. Convex Integration Theory Solutions to the h-principle in geometry and topology (1997) € 118.– / CHF 188.– ISBN 3-7643-5805-X
15 Mathematical Series MTA
MTA Mathematics: Theory & Applications Series Editor: Borel, A. / Ji, L. , University of Huang, J.-S., Hong Kong University Nolan Wallach Michigan, Ann Arbor, MI, USA of Science and Technology, China / University of California, San Diego, Compactifications of Pandzic, P., University of Zagreb, USA Symmetric and Locally Croatia Symmetric Spaces Dirac Operators in Mathematics: Theory and 2006. XIII, 479 p. Hardcover Representation Theory Applications is a series of advanced € 68.– / CHF 105.– 2006. X, 198 p. Hardcover level monographs and graduate ISBN 0-8176-3247-6 € 52.– / CHF 82.– textbooks that are designed to be of MTA ISBN 0-8176-3218-2 lasting value in the archival literature MTA and to professional mathematicians Noncompact symmetric and locally and graduate students as symmetric spaces naturally appear This monograph presents a comprehensive treatments of the in many mathematical theories, comprehensive treatment of important subjects they cover. The series is including analysis (representation new ideas on Dirac operators and open to all areas of pure and applied theory, nonabelian harmonic analysis), Dirac cohomology. Dirac operators mathematics. The books are expected number theory (automorphic forms), are widely used in physics, differential to be complete in their coverage algebraic geometry (modulae) and geometry, and group-theoretic settings and bibliographies and to stand as algebraic topology (cohomology of (particularly, the geometric construction definite reports on the state of the discrete groups). In most applications of discrete series representations). The art for many years to come. it is necessary to form an appropriate related concept of Dirac cohomology, compactification of the space. The main which is defined using Dirac operators, purpose of this book is to introduce is a far-reaching generalization that uniform constructions of most of the connects index theory in differential known compactifications with emphasis geometry to representation theory. on their geometric and topological Using Dirac operators as a unifying structures. theme, the authors demonstrate how Part I studies compactifications of some of the most important results in Riemannian symmetric spaces and their representation theory fit together when arithmetic quotients. Part II is a study viewed from this perspective. of compact smooth manifolds. Part III An excellent contribution to studies the compactification of locally the mathematical literature of symmetric spaces. representation theory, this self- Familiarity with the theory of contained exposition offers a systematic semisimple Lie groups is assumed, as examination and panoramic view of the is familiarity with algebraic groups subject. The material will be of interest defined over the rational numbers in to researchers and graduate students later parts of the book, although most in representation theory, differential of the pertinent material is recalled as geometry, and physics. presented.
16 MTA
Alfsen, E.M. / Shultz, F.W. Geometry of State Spaces of Operator Algebras (2003) € 108.– / CHF 168.– ISBN 0-8176-4319-2 Textbook
Alfsen, E.M. / Shultz, F.W. State Spaces of Operator Algebras Basic Theory, Orientations, and C*- products (2001) € 108.– / CHF 148.– ISBN 0-8176-3890-3 Textbook
Castellini, G. Categorical Closure Operators (2003) € 98.– / CHF 148.– ISBN 0-8176-4250-1 Textbook
do Carmo, M.P. Riemannian Geometry (1992) € 42.– / CHF 62.– ISBN 0-8176-3490-8 Textbook
Gelfand, I.M. / Kapranov, M.M. / Zelevinsky, A.V. Discriminants, Resultants, and Multidimensional Determinants (1994) € 118.– / CHF 188.– ISBN 0-8176-3660-9
17 Mathematical Series FM
FM Frontiers in Mathematics
Advisory Board Bresar, M. , University of Maribor, Xiao, J. , Memorial University of Luigi Ambrosio Slovenia / Chebotar, M.A. , Tula State Newfoundland, St. John's, NF, Canada University, Russia / Scuola Normale Superiore, Pisa, Italy Geometric Qp Functions Leonid Bunimovich Martindale III, W.S. , University of Massachusetts, Amherst, MA, USA 2006. Approx. 264 p. Softcover Georgia Institute of Technology, € 38.– / CHF 62.– Atlanta, USA Functional Identities ISBN 3-7643-7762-3 Benoit Perthame 2007. Approx. 280 p. Softcover FM Ecole Normale Superieure, Paris, Approx. € 48.– / CHF 78.– Due in Autumn 2006 France ISBN 3-7643-7795-X Gennady Samorodnitsky FM This book documents the rich structure Cornell University, Rhodes Hall, USA Due in Spring 2007 of the holomorphic Q function spaces Igor Shparlinski, which are geometric in the sense Macquarie University, Sydney, The theory of functional identities that they transform naturally under Australia (FI’s) is a relatively new one - the conformal mappings, with particular Wolfgang Sprössig first papers were published at the emphasis on the last few years' TU Bergakademie Freiberg, Germany beginning of the 1990s, and this is the development based on interaction first book on this subject. An FI can between geometric function and This series is designed to be a be informally described as an identical measure theory and other branches repository for up-todate research relation involving arbitrary elements of mathematical analysis, including results which have been prepared in an associative ring together with potential theory, harmonic analysis, arbitrary (unknown) functions. The goal functional analysis, and operator theory. for a wider audience. Graduates of the general FI theory is to describe and postgraduates as well as these functions, or, when this is not scientists will benefit from the possible, to describe the structure of latest developments at the research the ring admitting the FI in question. frontiers in mathematics and at the This abstract theory has turned out "frontiers" between mathematics to be a powerful tool for solving a and other fields like computer variety of problems in ring theory, science, physics, biology, economics, Lie algebras, Jordan algebras, linear finance, etc. All volumes are available algebra, and operator theory. The book online at SpringerLink. is divided into three parts. Part I is an introductory one. Part II is the core of the book. It gives a full account of the general FI theory, which is based on the concept of a d-free set; various constructions and concrete examples of d-free sets are given, and FI’s on d-free sets are thoroughly studied. Part III deals with applications. Its main purpose is to demonstrate how one can find FI’s when considering different problems, and then effectively use the general theory exposed in Part II.
18 FM
Kurdachenko, L. , Dnipropetrovsk Lindner, M. , University of Reading, UK Henrot, A. , Université Henri Poincaré, National University, Ukraine / Infinite Matrices and their Vandoeuvre-les-Nancy, France Otal, J. , University of Zaragoza, Spain / Finite Sections Extremum Problems for Subbotin, I.Y. , National University, Los Eigenvalues of Elliptic Angeles, CA, USA An Introduction to the Limit Operator Method Operators Artinian Modules over Group 2006. Approx. 216 p. Softcover Rings 2006. Approx. 200 p. Softcover € 38.– / CHF 62.– 2007. Approx. 300 p. Softcover € 38.– / CHF 62.– ISBN 3-7643-7705-4 Approx. € 48.– / CHF 78.– ISBN 3-7643-7766-6 FM ISBN 3-7643-7764-X FM FM Due in Autumn 2006 Problems linking the shape of a domain Due in Spring 2007 or the coefficients of an elliptic operator This book is concerned with the to the sequence of its eigenvalues The main aim of this book is to study of infinite matrices and their are among the most fascinating of highlight some important developments approximation by matrices of finite size. mathematical analysis. This book on artinian modules over group rings Our framework includes the simplest, focusses on extremal problems. For of the generalized nilpotent groups. important case where the matrix instance, a domain is looked for Along with traditional topics such entries are numbers, but also the more which minimizes or maximizes a given as dirct decompositions of artinian general case where the entries are eigenvalue of the Laplace operator modules, criteria of complementability bounded linear operators. This generality with various boundary conditions and of some important modules, and ensures that examples of the class of various geometric constraints. The case criteria of semisimplicity of artinian operators studied – band-dominated of functions of eigenvalues is also modules, this book also focuses operators on Lebesgue function considered. Similar questions for other on contemporary and very recent spaces and sequence spaces – are elliptic operators, such as Schrödinger, advance results on this matter. The ubiquitous in mathematics and physics. p-Laplacian, or bi-Laplacian are theory of modules over groups has its The main concepts studied are also investigated as well as optimal own specific character that plays an invertibility at infinity (closely related composites and optimal insulation imperative role here and, for example, to Fredholmness), limit operators, problems in terms of eigenvalues. allows a significant generalization and the stability and convergence of of the classical Mashke Theorem finite matrix approximations. Concrete on some classes of infinite groups. examples are used to illustrate the Inversely, it leads to establishing of results throughout, including discrete the direct decompositions of artinian Schrödinger operators and integral and modules related to some important boundary integral operators arising in natural formations, which, in turn, find mathematical physics and engineering. very efficient applications in infinite This book is written for a broad groups. Among other topics the book audience. It will be of particular also considers and describes injective importance to those researchers and envelopes of artinian modules for some practitioners concerned with large finite essential types of modules. The authors matrices and their infinite counterparts, have made this book self-contained, for example in numerical linear algebra which significantly extends the and mathematical physics. While some targeted audience. Along with experts basic knowledge of functional analysis in groups, ring, and module theories, would be helpful, the presentation post-graduate and graduate students contains relevant preliminary material will also find this book very useful, and is largely self-contained. informative, and easy to follow. 19 Mathematical Series FM
Bouchut, F. Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws and Well-Balanced Schemes for Sources (2004) € 28.– / CHF 44.– Clark, J. , University of Otago, New De Bruyn, B., Gent University, Belgium ISBN 3-7643-6665-6 Zealand / Lomp, C. , Universidade di Near Polygons Porto, Portugal / Vanaja, N. , Mumbai 2006. XI, 263 p. Softcover University, India / Wisbauer, R. , Kasch, F. / Mader, A. € 38.– / CHF 60.– Universität Düsseldorf, Germany Rings, Modules, and the Total ISBN 3-7643-7552-3 (2004) Lifting Modules FM € 38.– / CHF 62.– 2006. Approx. 400 p. Softcover ISBN 3-7643-7125-0 € 48.– / CHF 78.– Near polygons were introduced about ISBN 3-7643-7572-8 25 years ago and studied intensively in FM the 1980s. In recent years the subject Krausshar, R.S. has regained interest. This monograph Generalized Analytic Automorphic Extending modules are generalizations gives an extensive overview of the Forms in Hypercomplex Spaces of injective modules and, dually, basic theory of general near polygons. (2004) lifting modules generalize projective The first part of the book includes a € 38.– / CHF 62.– supplemented modules. There is a discussion of the classes of dense near ISBN 3-7643-7059-9 certain asymmetry in this duality. While polygons, regular near polygons, and the theory of extending modules is well glued near polygons. Also valuations, documented in monographs and text one of the most important tools for Thas, K. books, the purpose of this monograph classifying dense near polygons, are Symmetry in Finite Generalized is to provide a thorough study of treated in detail. The second part of Quadrangles (2004) supplements and projectivity conditions the book discusses the classification of € 38.– / CHF 58.– needed to investigate classes of dense near polygons with three points ISBN 3-7643-6158-1 modules related to lifting modules. per line. Most of the material in the monograph The book is self-contained and
appears in book form for the first almost all theorems are accompanied Zaharopol, R. time. The main text is augmented by a with proofs. Several new results are Invariant Probabilities of Markov- plentiful supply of exercises together presented. Many known results occur Feller Operators and Their with comments on further related in a more general form and the proofs Supports (2005) material and on how the theory has are often more streamlined than their € 28.– / CHF 44.– evolved. original versions. ISBN 3-7643-7134-X
20 LM
LM Lectures in Mathematics - ETH Zürich Department of Mathematics Nesetril, J. Peskir, G. , The University of Research Institute of Mathematics 13 Lectures on Combinatorics Manchester, UK / Shiryaev, A., Steklov of Mappings Mathematical Institute, Moscow, Russia Each year the Eidgenössische 2007. Approx. 142 p. Softcover Optimal Stopping and Technische Hochschule (ETH) at Approx. € 18.– / CHF 28.– Free-Boundary Problems Zürich invites a selected group of ISBN 3-7643-2199-7 2006. Approx. 520 p. Hardcover mathematicians to give postgraduate LM € 48.– / CHF 78.– seminars in various areas of pure and Due in Spring 2007 ISBN 3-7643-2419-8 applied mathematics. These seminars LM are directed to an audience of many In many instances of combinatorial levels and backgrounds. Some problems one studies special maps The book aims at disclosing a of the most successful lectures and correspondences which are fascinating connection between optimal are being published for a wider tailored to capture a variety of discrete stopping problems in probability and audience through the Lectures in phenomena. Structural combinatorics free-boundary problems in analysis Mathematics, ETH Zürich series. studies such situations and stresses using minimal tools and focusing on Lively and informal in style, moderate their relationship to, e.g., model key examples. in size and price, these books will theory, algebra, and probability. The general theory of optimal appeal to professionals and students The following topics are covered: stopping is exposed at the level of basic principles in both discrete and alike, bringing a quick understanding invariants and isomorphism problem, graph reconstruction, categories (a continuous time covering martingale of some important areas of current combinatorial obstacle), extension and Markovian methods. Methods of research. properties, large antichains, product solution explained range from classic and dimension, incomparability and ones (such as change of time, change density, gaps and dualities, universality. of space, change of measure) to more recent ones (such as local time- space calculus and nonlinear integral equations). A detailed chapter on stochastic processes is included making the material more accessible to a wider cross-disciplinary audience. The book may be viewed as an ideal compendium for an interested reader who wishes to master stochastic calculus via fundamental examples. Areas of application where examples are worked out in full detail include financial mathematics, financial engineering, mathematical statistics, and stochastic analysis.
21 Mathematical Series LM
Ambrosio, L. / Gigli, N. / Savaré, G. Jost, J. Polterovich, L. Gradient Flows Nonpositive Curvature The Geometry of the Group of In Metric Spaces and in the Space of Geometric and Analytic Aspects (1997) Symplectic Diffeomorphism (2001) Probability Measures (2005) € 21.– / CHF 32.– € 21.– / CHF 34.– € 32.– / CHF 52.– ISBN 3-7643-5736-3 ISBN 3-7643-6432-7 ISBN 3-7643-2428-7 Kreiss, H.-O. / Ulmer Busenhart, H. Tian, G. Bangerth, W. / Rannacher, R. Time-dependant Partial Canonical Metrics in Kähler Adaptive Finite Element Methods Differential Equations and Their Geometry (2000) for Differential Equations (2003) Numerical Solution (2001) € 21.– / CHF 32.– € 22.– / CHF 35.– € 21.– / CHF 34.– ISBN 3-7643-6194-8 ISBN 3-7643-7009-2 ISBN 3-7643-6125-5 Valette, A. Bättig, D. / Knörrer, H. LeFloch, P.G. Introduction to the Baum-Connes Singularitäten (1991) Hyperbolic Systems of Conjecture (2002) € 22.90 / CHF 38.– Conservation Laws € 21.– / CHF 38.– ISBN 3-7643-2616-6 The Theory of Classical and ISBN 3-7643-6706-7 Nonclassical Shock Waves (2002) Baumslag, G. € 27.– / CHF 44.– Yor, M. Topics in Combinatorial Group ISBN 3-7643-6687-7 Some Aspects of Brownian Motion Theory (1993) Part II: Some Recent Martingale € 23.– / CHF 38.– Le Gall, J.-F. Problems (1997) ISBN 3-7643-2921-1 Spatial Branching Processes, € 21.– / CHF 32.– Random Snakes and Partial ISBN 3-7643-5717-7 de Boor, C. Differential Equations (1999) Splinefunktionen (1990) € 23.– / CHF 38.– € 20.56 / CHF 34.– ISBN 3-7643-6126-3 ISBN 3-7643-2514-3 LeVeque, R.J. Carlson, J.F. Numerical Methods for Modules and Algebras (1996) Conservation Laws € 18.– / CHF 28.– 2nd ed. (1992) ISBN 3-7643-5389-9 € 23.– / CHF 38.– ISBN 3-7643-2723-5 Freidlin, M. Markov Processes and Differential Moser, J. Equations Selected Chapters in the Calculus Asymptotic Problems (1996) of Variations € 23.– / CHF 38.– Lecture Notes by Oliver Knill (2003) ISBN 3-7643-5392-9 € 24.– / CHF 39.– ISBN 3-7643-2185-7 Jerrum, M. Counting, Sampling and Narasimhan, R. Integrating Compact Riemann Surfaces (1992) Algorithms and Complexity (2003) € 22.– / CHF 38.– € 24.– / CHF 38.– ISBN 3-7643-2742-1 ISBN 3-7643-6946-9 Nevanlinna, O. Convergence of Iterations for Linear Equations (1993) € 23.– / CHF 38.– ISBN 3-7643-2865-7
22 OWS
OWS Oberwolfach Seminars
The workshops organized by the Galdi, G.P. , University of Pittsburgh, Lieb, E.H. / Seiringer, R. , both Mathematical Research Institute PA, USA / Rannacher, R. , Universität Princeton University, USA / Oberwolfach are intended to intro- Heidelberg, Germany / Solovej, J.P. , University of duce students and young mathemati- Robertson, A.M., University of Copenhagen, Denmark / Yngvason, J. , cians to current fields of research. By Pittsburgh, PA, USA / Turek, S. , University of Vienna, Austria means of these well-organized semi- Universität Dortmund, Germany The Mathematics of the Bose nars, also scientists from other fields Hemodynamical Flows Gas and its Condensation will be introduced to new mathema- Modeling, Analysis and Simulation 2005. VIII, 208 p. Softcover tical ideas. The publication of these € 28.– / CHF 46.– workshops in the series Oberwolfach 2006. Approx. 400 p. Softcover ISBN 3-7643-7336-9 Seminars (formerly DMV Seminar) Approx. € 38.– / CHF 62.– OWS – Vol. 34 makes the material available to an ISBN 3-7643-7805-0 Textbook even larger audience. OWS – Vol. 35 Due in Autumn 2006 This book contains a unique survey Textbook of the mathematically rigorous results about the quantum-mechanical many- This book surveys results on the body problem that have been obtained physical and mathematical modeling by the authors in the past seven as well as the numerical simulation years. It is a topic that is not only rich of hemodynamical flows, i.e., of fluid mathematically, using a large variety of and structural mechanical processes techniques in mathematical analysis, occuring in the human blood circuit. but it is also one with strong ties to The topics treated are continuum current experiments on ultra-cold Bose mechanical description, choice of gases and Bose-Einstein condensation. suitable liquid and wall models, It is an active subject of ongoing mathematical analysis of coupled research, and this book provides a models, numerical methods for flow pedagogical entry into the field for simulation, parameter identification graduate students and researchers. It is and model calibration, fluid-solid an outgrowth of a course given by the interaction, mathematical analysis authors for graduate students and post- of piping systems, particle transport doctoral researchers at the Oberwolfach in channels and pipes, artificial Research Institute in 2004. The book boundary conditions, and many also provides a coherent summary more. Hemodynamics is an area of of the field and a reference for active current research, and this book mathematicians and physicists active provides an entry into the field for in research graduate students and researchers. It has grown out of a series of lectures given by the authors at the Oberwolfach Research Institute in November, 2005.
23 Mathematical Series OWS
OWS 33: Kreck, M. / Lück, W. DMV 25: Ballmann, W. DMV15: Schatz / Wendland / The Novikov Conjecture Lectures on Spaces of Nonpositive Thomee Geometry and Algebra (2005) Curvature (1995) Mathematical Theory of Finite and € 38.– / CHF 62.– € 21.– / CHF 34.– Boundary Element Methods (1990) ISBN 3-7643-7141-2 ISBN 3-7643-5242-6 € 39.25 / CHF 62.– Textbook ISBN 3-7643-2211-X DMV 24: Aubry, M. DMV 32: Bolthausen, E. / Homotopy Theory and Models DMV 14: Denker, M. / Sznitman, A.-S. Based on Lectures held at a DMV Bhattacharya, R. Ten Lectures on Random Media Seminar in Blaubeuren by H.J. Baues, S. Asymptotic Statistics (1990) (2002) Halperin and J.-M. Lemaire (1995) € 24.– / CHF 39.– € 26.– / CHF 42.– € 26.– / CHF 44.– ISBN 3-7643-2282-9 ISBN 3-7643-6703-2 ISBN 3-7643-5185-3 DMV 12: van Lint, J. / DMV 31: Huckleberry, A. / DMV 22: Knobloch, H.W. / van der Geer, G. Wurzbacher, T. (Eds) Isidori, A. / Flockerzi, D. Introduction to Coding Theory and Infinite Dimensional Kähler Topics in Control Theory (1993) Algebraic Geometry (1988) Manifolds (2001) € 30.– / CHF 48.– € 21.– / CHF 34.– € 36.– / CHF 58.– ISBN 3-7643-2953-X ISBN 3-7643-2230-6 ISBN 3-7643-6602-8 DMV 21: Pohst, M.E. DMV 11: tom Dieck, T. / DMV 30: Scholz, E. (Ed.) Computational Algebraic Number Hambleton, I. Hermann Weyl's Raum - Zeit - Theory (1993) Surgery Theory and Geometry of Materie and a General € 23.– / CHF 38.– Representations (1988) Introduction to his Scientific Work ISBN 3-7643-2913-0 € 30.– / CHF 48.– (2001) ISBN 3-7643-2204-7 € 46.– / CHF 74.– DMV 19: Groeneboom, P. / ISBN 3-7643-6476-9 Wellner, J.A. Information Bounds and DMV 28: Cercignani, C. / Nonparametric Maximum Sattinger, D. Likelihood Estimation (1992) Scaling Limits and Models in € 30.– / CHF 48.– Physical Processes (1998) ISBN 3-7643-2794-4 € 32.– / CHF 48.– ISBN 3-7643-5985-4 DMV 18: Roggenkamp, K.W. / Taylor, M.J. DMV 27: Knauf, A. / Sinai, Y. G. Group Rings and Class Groups Classical Nonintegrability, (1992) Quantum Chaos € 23.– / CHF 38.– With a contribution by Viviane Baladi ISBN 3-7643-2734-0 (1997) € 22.– / CHF 34.– DMV 17: Ljung, L. / Pflug, G. / ISBN 3-7643-5708-8 Walk, H. Stochastic Approximation and DMV 26: Peternell, T. / Miyaoka, J. Optimization of Random Systems Geometry of Higher Dimensional (1992) Algebraic Varieties (1997) € 23.– / CHF 38.– € 25.– / CHF 38.– ISBN 3-7643-2733-2 ISBN 3-7643-5490-9
24 ACM
ACM Advanced Courses in Mathematics - CRM Barcelona Since 1995 the Centre de Recerca Cohen, R.L. , Stanford University, USA / Catalano, D. , Ecole Normale Matemàtica (CRM) in Barcelona has Hess, K. , EPFL Lausanne, Switzerland / Supérieure, Paris, France / conducted a number of annual Sum- Voronov, A.A. , University of Cramer, R. , CWI, Amsterdam, The mer Schools at the post-doctoral or Minnesota, Minneapolis, MN, USA Netherlands / Damgard, I. , University advanced graduate level. Sponsored String Topology and Cyclic of Aarhus, Denmark / mainly by the European Community, Homology Di Crescenzo, G. , Telcorida these Advanced Courses have usually Technologies, Inc., Morristown, NJ, 2006. VI, 163 p. 29 illus. Softcover USA / Pointcheval, D. , Ecole Normale been held at the CRM in Bellaterra. € 22.– / CHF 35.– Supérieure, Paris, France / The books in this series consist ISBN 3-7643-2182-2 Takagi, T. , Future University - essentially of the expanded and ACM Hakodate, Hokkaido, Japan embellished material presented by Textbook the authors in their lectures. Contemporary Cryptology The subject of this book is string 2005. VIII, 237 p. Softcover topology, Hochschild and cyclic € 32.– / CHF 54.– homology. The first part consists of ISBN 3-7643-7294-X an excellent exposition of various ACM approaches to string topology and Textbook the Chas-Sullivan loop product. The second gives a complete and clear The aim of this text is to treat selected construction of an algebraic model for topics of the subject of contemporary computing topological cyclic homology. cryptology, structured in five quite The book provides many references independent but related themes: for the reader wishing to learn more · efficient distributed computation about the subject, to which it gives modulo a shared secret a perfect introduction. It is therefore · multiparty computation suitable for both graduate students and · foundations of modern cryptography established researchers. It is certainly · provable security for public key the best source of much information schemes that was until now available only to · efficient and secure public-key specialists and covers material from the cryptosystems. elementary bases to the most recent developments.
25 Mathematical Series ACM
Audin, M. / Cannas da Silva, A. / Lerman, E. Symplectic Geometry of Integrable Hamiltonian Systems (2003) € 28.– / CHF 48.– ISBN 3-7643-2167-9 Argyros, S.A. , National Technical Textbook University, Athens, Greece / Todorcevic, S. , Université Paris VII Brown, K.A. / Goodearl, K.R. - CNRS, France, and University of Lectures on Algebraic Quantum Toronto, Canada Groups (2002) Ramsey Methods in Analysis € 37.– / CHF 58.– ISBN 3-7643-6714-8 2005. VI, 257 p. Softcover Textbook € 38.– / CHF 64.– ISBN 3-7643-7264-8 Da Prato, G. ACM Kolmogorov Equations for Textbook Stochastic PDEs (2004) € 32.– / CHF 52.– This book introduces graduate ISBN 3-7643-7216-8 students and resarchers to the study Textbook of the geometry of Banach spaces using combinatorial methods. The Drensky, V. / Formanek, E. combinatorial, and in particular the Polynomial Identity Rings (2004) Ramsey-theoretic, approach to Banach € 28.– / CHF 44.– space theory is not new, it can be ISBN 3-7643-7126-9 traced back as early as the 1970s. Its Textbook full appreciation, however, came only during the last decade or so, after some Dwyer, W.G. / Henn, H.-W. of the most important problems in Homotopy Theoretic Methods in Banach space theory were solved, such Group Cohomology (2001) as, for example, the distortion problem, € 22.– / CHF 36.– the unconditional basic sequence ISBN 3-7643-6605-2 problem, and the homogeneous space Textbook problem. The book covers most of these advances, but one of its primary Markvorsen, S. / Min-Oo, M. purposes is to discuss some of the Global Riemannian Geometry: recent advances that are not present in Curvature and Topology (2003) survey articles of these areas. € 24.– / CHF 39.– ISBN 3-7643-2170-9 Textbook
Mislin, G. / Valette, A. Proper Group Actions and the Baum-Connes Conjecture (2003) € 28.– / CHF 44.– ISBN 3-7643-0408-1 Textbook
26 BAT
Chipot, M. Hofer, H. / Zehnder, E. BAT Elements of Nonlinear Analysis Symplectic Invariants and Birkhäuser (2000) Hamiltonian Dynamics (1994) € 46.– / CHF 78.– € 49.– / CHF 88.– Advanced Texts ISBN 3-7643-6406-8 ISBN 3-7643-5066-0 Textbook Chipot, M. A series of Advanced Textbooks in l goes to Infinity (2002) Krantz, S.G. / Parks, H.R. Mathematics € 54.– / CHF 88.– The Geometry of Domains in ISBN 3-7643-6646-X Space (1999) Edited by € 88.– / CHF 108.– Amann, H., University of Zürich, Conlon, L. ISBN 0-8176-4097-5 Switzerland Differentiable Manifolds Krantz, S.G., Washington University, 2nd ed. (2001) Krantz, S.G. / Parks, H.R. € 68.– / CHF 108.– A Primer of Real Analytic St. Louis, USA ISBN 0-8176-4134-3 Functions Kumar, S., University of North Textbook 2nd ed. (2002) Carolina at Chapel Hill, € 76.– / CHF 128.– USA DiBenedetto, E. ISBN 0-8176-4264-1 Nekovár, J., University of Paris VII, Real Analysis (2002) Textbook France € 100.– / CHF 166.– ISBN 0-8176-4231-5 Rosenblum, M. / Rovnyak, J. This series presents, at an advanced Textbook Topics in Hardy Classes and level, introductions to some of Univalent Functions (1994) the fields of current interest in Estrada, R. / Kanwal, R.P. € 45.– / CHF 72.– mathematics. A Distributional Approach to ISBN 3-7643-5111-X Starting with basic concepts, Asymptotics Textbook fundamental results and techniques Theory and Applications are covered, and important 2nd ed. (2002) Sohr, H. applications and new developments € 92.– / CHF 152.– The Navier-Stokes Equations discussed. The textbooks are suitable ISBN 0-8176-4142-4 An Elementary Functional Analytic as an introduction for students and Textbook Approach (2001) € non-specialists, and they can also be 48.– / CHF 78.– used as background material for Gabriel, P. ISBN 3-7643-6545-5 Matrizen, Geometrie, Lineare Textbook advanced courses and seminars. Algebra (1996) € 39.25 / CHF 64.– Vinberg, E.B. (Ed.) ISBN 3-7643-5376-7 Linear Representations of Groups Textbook (1989) € 18.– / CHF 28.– Gracia-Bondia, J.M. / Varilly, J.C. / ISBN 3-7643-2288-8 Figueroa, H. Elements of Noncommutative Geometry (2001) € 84.– / CHF 118.– ISBN 0-8176-4124-6 Textbook
27 Mathematical Series COR
COR Cornerstones
Advisory board: Knapp, A.W. , State University of New Knapp, A.W. , State University of New Anthony W. Knapp, State York at Stony Brook, NY, USA York at Stony Brook, NY, USA University of New York at Basic Real Analysis Advanced Real Analysis Stony Brook, USA 2005. XXIV, 656 p. 10 illus. Hardcover 2005. XXIV, 468 p. 6 illus. Hardcover Charles L. Epstein, University of € 58.– / CHF 92.– € 48.– / CHF 78.– Pennsylvania, Philadelphia, ISBN 0-8176-3250-6 ISBN 0-8176-4382-6 USA COR COR Steven G. Krantz, Washington Textbook Textbook University, St. Louis, USA Basic Real Analysis systematically Advanced Real Analysis requires of develops those concepts and tools the reader a first course in measure Cornerstones comprises textbooks in real analysis that are vital to every theory, including an introduction to the that focus on what students need to mathematician, whether pure or Fourier transform and to Hilbert and know and what faculty should teach applied, aspiring or established. Along Banach spaces. Some familiarity with regarding various select topics in with a companion volume Advanced complex analysis is helpful for certain pure and applied mathematics and Real Analysis, these works present a chapters. The book is suitable as a text related subjects. Aimed at aspiring comprehensive treatment with a global in graduate courses such as Fourier and young mathematicians at the view of the subject, emphasizing the functional analysis, modern analysis, advanced undergraduate to the connections between real analysis and and partial differential equations. second-year graduate level, books other branches of mathematics. Because it focuses on what every young Basic Real Analysis is suitable as a mathematician needs to know about that appear in this series are text in an advanced undergraduate real analysis, the book is ideal both as a intended to serve as the definitive course in real variable theory and course text and for self-study, especially advanced texts for the next in most basic graduate courses in for graduate students preparing for generation of mathematicians. Lebesgue integration and related qualifying examinations. Its scope and By enlisting only expert topics. Because it focuses on what approach will appeal to instructors mathematicians and leading every young mathematician needs to and professors in nearly all areas of researchers in each field who are know about real analysis, the book is pure mathematics, as well as applied top-notch expositors with established ideal both as a course text and for self- mathematicians working in analytic track records, Cornerstones volumes study, especially for graduate students areas such as statistics, mathematical are models of clarity that provide preparing for qualifying examinations. physics, and differential equations. authoritative modern treatments Its scope and approach will appeal to of the essential subjects of pure instructors and professors in nearly Knapp, A.W., State University of New and applied mathematics while all areas of pure mathematics, as well York (SUNY), Stony Brook, NY, USA capturing the beauty and excitement as applied mathematicians working Basic Real Analysis and of mathematics for the reader. in analytic areas such as statistics, Advanced Real Analysis Set The Series Editors themselves are mathematical physics, and differential equations. Indeed, the clarity and 2005. 2-volume-set accomplished researchers with € breadth of Basic Real Analysis make 72.– / CHF 112.– considerable writing experience, ISBN 0-8176-4407-5 and seek to infuse each text with it a welcome addition to the personal library of every mathematician. excellence and purpose through a collaborative, yet highly rigorous selection and reviewing protocol.
28 COR
Krantz, S.G. , Washington University, Knapp, A.W. , State University of New St. Louis, MO, USA York (SUNY), Stony Brook, NY, USA Geometric Function Theory Basic Algebra Explorations in Complex Analysis 2007. Approx. 450 p., 10 illus. 2006. XIV, 314 p. 41 illus. Hardcover Hardcover € 58.– / CHF 88.– Approx. € 58.– / CHF 88.– ISBN 0-8176-4339-7 ISBN 0-8176-3248-4 COR COR Textbook Due in Autumn 2006 Textbook Complex variables is a precise, elegant, and captivating subject. Presented Aspiring and established from the point of view of modern work mathematicians alike will benefit in the field, this new book addresses from this comprehensive treatment of advanced topics in complex analysis algebra, which systematically develops that verge on current areas of research. the concepts and tools of the subject The author adroitly weaves these varied and simultaneously emphasizes a topics to reveal a number of delightful global view of the discipline. Algebra interactions. Perhaps more importantly, stresses fundamentals and highlights the topics are presented with an the connections between algebra understanding and explanation of their and other branches of mathematics, interrelations with other important including analysis, topology, and parts of mathematics: harmonic number theory. analysis, differential geometry, partial differential equations, potential theory, Key topics and features: abstract algebra, and invariant theory. · Chapters on linear algebra develop Although the book examines complex the notion of vector spaces, the analysis from many different points of theory of linear transformations, view, it uses geometric analysis as its bilinear forms, classical linear groups, unifying theme. and multilinear algebra This methodically designed book · Chapters on modern algebra treat contains a rich collection of exercises, groups, rings, fields, modules, and examples, and illustrations within each Galois theory, including infinite Galois individual chapter, concluding with an groups extensive bibliography of monographs, · Later chapters cover more advanced research papers, and a thorough index. topics in commutative and noncommutative algebra and provide introductions to algebraic number theory, algebraic geometry, and homological algebra · Each chapter includes hundreds of examples and problems, and a final chapter contains hints and solutions for most of the problems
29 Mathematical Series TM
TM Trends in Mathematics
Trends in Mathematics is a series Brasselet, J.-P. , IML-CNRS, Marseille, Padula, M. / Zanghirati, L. , both devoted to the publications of France / Soares Ruas, M.A. , USP-São Università di Ferrara, Italy (Eds) volumes arising from conferences Carlos, Brasil (Eds) Hyperbolic Problems and and lecture series focusing on a Real and Complex Regularity Questions particular topic from any area of Singularities 2006. Approx. 240 p. Hardcover mathematics. Its aim is to make São Carlos Workshop 2004 Approx. € 88.– / CHF 138.– current developments available to ISBN 3-7643-7450-0 the community as rapidly as possible 2006. Approx. 350 p. Hardcover TM without compromise to quality and Approx. € 128.– / CHF 202.– Due in Autumn 2006 to archive these for reference. ISBN 3-7643-7775-5 TM This book discusses new challenges Due in Autumn 2006 in the quickly developing field of hyperbolic problems. Particular The São Carlos Workshop on Real and emphasis lies on the interaction Complex Singularities is the longest between nonlinear partial differential running workshop in singularities. equations, functional analysis and It is held every two years and is a applied analysis as well as mechanics. key international event for people working in the field. This volume contains papers presented at the eighth workshop, held at the IML, Marseille, from the 19th to the 23th of July, 2004. The workshop offers the opportunity to establish the state of the art and to present new trends, new ideas and new results in all of the branches of singularities: equisingularity of sets and mappings, geometry of singular complex analytic sets, singularities of mappings, characteristic classes, classification of singularities, interaction of singularity theory with some of the new ideas in algebraic geometry imported from theoretical physics, applications of singularity theory to geometry of surfaces in low dimensional euclidean spaces, to differential equations and to bifurcation theory.
30 TM
Bojarski, B. , IMPAN Warsaw, Poland / Bagaria, J. , University of Barcelona, Bondy, A. / Fonlupt, J. , both Mishchenko, A.S. / Troitsky, E.V. , Spain / Todorcevic, S. , CNRS Paris, Université Paris VI, France / both Moscow State University, Russia / France (Eds) Fouquet, J.-L. , IUT du Mans, Le Mans, Weber, A. , Warsaw University, Poland Set Theory France / Fournier, J.-C. / Ramirez (Eds) Alfonsin, J.L., both Université Paris VI, Centre de Recerca Matemàtica France (Eds) C*-algebras and Barcelona, 2003-2004 Elliptic Theory Graph Theory in Paris 2006. Approx. 352 p. Hardcover 2006. 416 p. Hardcover Proceedings of a Conference in € 98.– / CHF 158.– € 98.– / CHF 158.– Memory of Claude Berge ISBN 3-7643-7686-4 ISBN 3-7643-7691-0 TM TM 2006. Approx. 400 p. Hardcover € 128.– / CHF 199.– This book consists of reviewed original This volume has its origins in the ISBN 3-7643-7228-1 research papers and expository articles Research Programme on Set Theory and TM in index theory (especially on singular its Applications that took place at the Due in Autumn 2006 manifolds), topology of manifolds, Centre de Recerca Matemática (CRM) operator and equivariant K-theory, Barcelona from September 2003 to July In July 2004, a conference on graph Hopf cyclic cohomology, geometry of 2004. It consists of two parts. The first theory was held in Paris in memory of foliations, residue theory, Fredholm contains survey papers on some of the Claude Berge, one of the pioneers of pairs and others, and applications mainstream areas of set theory, and the field. The event brought together in mathematical physics. The wide the second contains original research many prominent specialists on topics, spectrum of subjects reflects the diverse papers. such as perfect graphs and matching directions of research for which the The survey papers cover topics as theory, upon which Claude Berge's starting point was the Atiyah-Singer Omega-logic, applications of set theory work has had a major impact. This index theorem. to lattice theory and Boolean algebras, volume includes contributions to these real-valued measurable cardinals, and other topics from many of the complexity of sets and relations in participants. continuum theory, weak subsystems of axiomatic set theory, definable versions of large cardinals, and selection theory for open covers of topological spaces. As for the research papers, they range from topics such as the number of near-coherence classes of ultrafilters, the consistency strength of bounded forcing axioms, some applications of morasses, subgroups of Abelian Polish groups, the consistency strength of mutual stationarity, and new axioms of set theory.
31 Mathematical Series TM
Blanchard, P. / Dell'Antonio, G. Pragacz, P. (Ed.) (Eds) Topics in Cohomological Studies Multiscale Methods in Quantum of Algebraic Varieties Mechanics Impanga Lecture Notes (2005) Theory and Experiment (2004) € 98.– / CHF 156.– € 118.– / CHF 199.50 ISBN 3-7643-7214-1 ISBN 0-8176-3256-5 Rao, M.M. (Ed.) Chauvin, B. / Flajolet, P. / Real and Stochastic Analysis Gardy, D. / Mokkadem, A. (Eds) New Perspectives (2004) Mathematics and Computer € 118.– / CHF 199.50 Science II ISBN 0-8176-4332-X Algorithms, Trees, Combinatorics and Probabilities (2002) Wang, D. / Zheng, Z. (Eds) € 108.– / CHF 178.– Differential Equations with ISBN 3-7643-6933-7 Symbolic Computation (2005) € 78.– / CHF 128.– Drmota, M. / Flajolet, P. / ISBN 3-7643-7368-7 Gardy, D. / Gittenberger, B. (Eds) Mathematics and Computer Science III Algorithms, Trees, Combinatorics and Probabilities (2004) € 108.– / CHF 178.– ISBN 3-7643-7128-5
Krause, H. / Ringel, C.M. (Eds) Infinite Length Modules (2000) € 158.– / CHF 250.– ISBN 3-7643-6413-0
Gyr, A. / Kinzelbach, W. / Tsinober, A. (Eds) Fundamental Problematic Issues in Turbulence (1999) € 188.– / CHF 278.– ISBN 3-7643-6150-6
Qian, T. / Hempfling, T. / McIntosh, A. / Sommen, F. (Eds) Advances in Analysis and Geometry New Developments Using Clifford Algebras (2004) € 98.– / CHF 158.– ISBN 3-7643-6661-3
32 GM
GM Grundstudium Mathematik
Remmert, R. / Ullrich, P. Westfälische Gürlebeck, K. , Bauhaus-Universität Wilhelms-Universität, Münster, Weimar / Habetha, K., RWTH Aachen / Deutschland Sprössig, W. , TU Bergakademie Elementare Zahlentheorie Freiberg 3. Aufl. Funktionentheorie in der Ebene und im Raum 2006. Etwa 280 S. Brosch. 2006. XIII, 406 S. Mit CD-ROM. Brosch. Ca. € 22.90 / CHF 38.– € 26.17 / CHF 44.– ISBN 3-7643-7730-5 ISBN 3-7643-7369-5 GM GM Erscheint Herbst 2006 Lehrbuch Lehrbuch Die Funktionentheorie einer komplexen Um die Fragestellungen in der Variablen hat heute höher-dimensionale elementaren Zahlentheorie zu Analoga: dabei wird die Algebra der verstehen, reicht die Fähigkeit zu komplexen Zahlen durch die nicht- zählen aus; um sie zu beantworten, kommutative Algebra der reellen bedarf es aber oft scharfsinniger Quaternionen bzw. Clifford-Algebren Überlegungen und der Entwicklung ersetzt. fundamentaler Prinzipien. So In den letzten 30 Jahren hat sich die so beginnt dieses Buch mit der genannte Quaternionen- und die reelle Primfaktorzerlegung und dem grössten Clifford-Analysis erfolgreich entwickelt. gemeinsamen Teiler, zwei Begriffen, die Eine Vielzahl von Anwendungen aus dem Schulunterricht bekannt sind, haben diese Funktionentheorie höher- die bei genauerer Betrachtung aber dimensionaler Variablen zu einem viel von ihrer Selbstverständlichkeit wichtigen Instrument der Analysis verlieren. Auch der theoretische und deren Anwendungen in der Hintergrund des aus dem Alltag mathematischen Physik werden lassen. wohlvertrauten Dezimalsystems wird Das Buch reflektiert den neuesten Stand erörtert. Weitere behandelte Themen der Forschung und entwickelt sowohl sind Kongruenzenrechnung, primitive die höher-dimensionalen Ergebnisse Wurzeln und, zu guter Letzt, das als auch die klassischen komplexen Reziprozitätsgesetz für quadratische Resultate aus einem einheitlichen Reste. Begriff der Holomorphie. Der fundamentale Begriff der holomorphen Funktion als Lösung des Cauchy- Riemann-Systems wird im Höher- dimensionalen unter Beibehaltung der Bezeichnung als Lösung eines entsprechenden Systems partieller Differentialgleichungen 1. Ordnung verstanden. Historische Bemerkungen, zahlreiche Beispiele, viele Abbildungen sowie eine angemessene Auswahl von Übungsaufgaben festigen und erweitern die erworbenen Kenntnisse. 33 Mathematical Series GM
Amann, H. , Universität Zürich, Amann, H., Universität Zürich, Amann, H. , Universität Zürich, Schweiz / Escher, J. , Universität Schweiz / Escher, J. , Universität Schweiz / Escher, J. , Universität Hannover, Deutschland Hannover, Deutschland Hannover, Deutschland Analysis I Analysis II Analysis III 3., korr. Aufl. 2., korr. Aufl. 2001. 496 S. Brosch. 2006. Ca. 460 S. Brosch. 2006. XII, 415 S. Brosch. € 27.10 / CHF 42.– € 27.99 / CHF 45.– € 26.17 / CHF 42.– ISBN 3-7643-6613-3 ISBN 3-7643-7755-0 ISBN 3-7643-7105-6 Textbook Erscheint Herbst 2006 1999. 424 S. Geb. € 54.21 / CHF 88.– 1998. 460 S. Geb. € 54.21 / CHF 88.– ISBN 3-7643-6614-1 (Gebunden) € 54.21 / CHF 88.– ISBN 3-7643-6134-4 GM ISBN 3-7643-5976-5 GM Lehrbuch GM Lehrbuch Lehrbuch Der dritte und letzte Band dieser Der zweite Band dieser Einführung Reihe ist der Integrationstheorie und Dieses Lehrbuch ist der erste Band in die Analysis behandelt die den Grundlagen der globalen Analysis einer dreiteiligen Einführung in die Integrationstheorie von Funktionen gewidmet. Es wird wiederum viel Wert Analysis. Es ist durch einen modernen einer Variablen, die mehrdimensionale auf einen modernen und klaren Aufbau und klaren Aufbau geprägt, der Differentialrechnung und die Theorie gelegt, der nicht nur eine wohlstruk- versucht den Blick auf das Wesentliche der Kurven und Kurvenintegrale. Der turierte schöne Theorie liefert, sondern zu richten. Anders als in den üblichen im ersten Band begonnene moderne dem Leser auch schlagkräftige Lehrbüchern wird keine künstliche und klare Aufbau wird konsequent Werkzeuge für seine weitere Beschäf- Trennung zwischen der Theorie einer fortgesetzt. Dadurch wird ein tigung mit der Mathematik in die Variablen und derjenigen mehrerer tragfähiges Fundament geschaffen, das Hand gibt. Aus diesem Grund wird Veränderlicher vorgenommen. Der es erlaubt, interessante Anwendungen beispielsweise konsequent das Bochner- Leser soll in dem Erkennen der zu behandeln, die zum Teil weit über Lebesguesche Integral entwickelt, wesentlichen Inhalte und Ideen der den in der üblichen Lehrbuchliteratur welches ein unverzichtbares Hilfsmittel Analysis geschult werden und sich ein behandelten Stoff hinausgehen. für die moderne Theorie der partiellen solides Fundament für das Studium Zahlreiche Übungsaufgaben von Differentialgleichungen darstellt. tieferliegender Theorien erwerben. unterschiedlichem Schwierigkeitsgrad Ebenso wird eine Version des Stokes- Das Werk richtet sich an Hörer und und viele informative Abbildungen schen Satzes bewiesen, welche Dozenten der Anfängervorlesung der runden dieses Lehrbuch ab. den praktischen Bedürfnissen der Analysis. Durch zahlreiche Beispiele, Mathematik und theoretischen Physik Übungsaufgaben und Ergänzungen weitgehend Rechnung trägt. zum üblichen Vorlesungsstoff ist der Zahlreiche Beispiele, konkrete Rech- Text ausserdem zum Selbststudium, nungen, eine Vielzahl von Übungs- als Vorlage für vertiefende Seminare aufgaben und viele Abbildungen und als Grundlage für das gesamte machen dieses Lehrbuch zu einem Mathematik- bzw. Physikstudium verlässlichen Begleiter durch das geeignet. gesamte Studium.
34 GM
Bröcker, T. , Universität Regensburg Artin, M. , Massachusetts Institute of Foata, D. / Fuchs, A., Université Louis Lineare Algebra und Technology, Cambridge, USA Pasteur, Strasbourg, France Analytische Geometrie Algebra Wahrscheinlichkeitsrechnung Ein Lehrbuch für Physiker und 2003 (1. unveränderter Nachdruck). Übersetzt aus dem Französischen von Mathematiker 722 S. Broschur Volker Strehl € 35.51 / CHF 58.– 1999. 400 S. Brosch. 2., korr. Aufl. ISBN 3-7643-5938-2 € 26.17 / CHF 42.– 2004. X, 366 S. Brosch. GM ISBN 3-7643-6169-7 € 26.17 / CHF 42.– Lehrbuch GM ISBN 3-7643-7144-7 GM Diese ungewöhnliche Einführung in € 54.21 / CHF 88.– Lehrbuch lineare Algebra und Algebra ist über ISBN 3-7643-6170-0 (Gebunden) viele Jahre aus den Vorlesungsnotizen Lehrbuch Die ersten fünf Kapitel dieses neuen des Autors gewachsen und zeichnet Lehrbuchs entsprechen nach Inhalt sich aus durch einen harmonischen Wahrscheinlichkeitstheorie ist ein und Methode dem Standard einer Aufbau des behandelten Stoffes. Als wesentlicher Bestandteil jedes modernen Vorlesung über Lineare eine Besonderheit umfasst dieser Mathematik- und Physikstudiums Algebra. Der Leser gelangt aber nebst den üblichen Inhalten auch und spielt eine zentrale Rolle in der nachher direkt zu den grundlegenden die Betonung spezieller Themen wie Wirtschaftswissenschaft und den Aussagen der Linearen Algebra bei Symmetrie, lineare Gruppen und Naturwissenschaften. Die vorliegende Ringen. Die Darstellung ist von Anfang quadratische Zahlkörper. Der Text Einführung richtet sich an Studenten, an anschaulich und geometrisch, besticht insbesondere durch eine für die bereits einen Grundkurs in sie schreitet behutsam voran in den Studenten besonders verständliche Analysis besucht haben, und zeichnet der Abstraktion. In dem Kapitel Präsentation des Stoffes. Zahlreiche sich durch einen hervorragenden über projektive Geometrie findet Beispiele und Übungsaufgaben erhöhen didaktischen Aufbau aus. Sowohl die man im reellen und komplexen Fall seinen Wert als studienbegleitende diskrete wie auch die masstheoretische Diskussionen der projektiven Räume Literatur für die ersten drei bis vier Wahrscheinlichkeitstheorie werden und Quadriken, die inhaltsreich und Semester des Studiums der Mathematik in allen wesentlichen Elementen wesentlich für die heutige Geometrie und verwandter Gebiete. behandelt und alle wichtigen Sätze sind. Physiker finden eine Diskussion werden bewiesen. Viele Übungen von Quaternionen, Pauli-Matrizen, helfen den Stoff einzuarbeiten und zu orthogonalen und unitären Gruppen vertiefen. Alle Lösungen, oftmals sehr sowie der Lorentzgruppe und ihrer detailliert, sind im Buch enthalten und Spinordarstellung. Die topologische der ausführliche Index erleichtert das Beschreibung der Quadriken und die Nachschlagen. Charakterisierung der Lorentzgruppe finden sich in anderen Lehrbüchern nicht, die Erklärung der Lie-Theorie der niederdimensionalen klassischen Gruppen nur in höheren Lehrbüchern. Die wichtigen und schönen klassischen Formeln für symmetrische Polynome im Zusammenhang mit Identitäten für Endomorphismen stehen kaum anderswo so geschickt beieinander.
35 Logic / Set Theory
Adamson, I. A Set Theory Workbook 1997. 154 p. Softcover € 42.06 / CHF 48.– ISBN 0-8176-4028-2 Textbook
Beziau, J.-Y. , University of Neuchâtel, Bloch, E.D. Switzerland (Ed.) Proofs and Fundamentals Logica Universalis A First Course in Abstract Mathematics 2000. XXI, 424 p. Hardcover Towards a General Theory of Logic € 48.– / CHF 78.– ISBN 0-8176-4111-4 2005. X, 228 p. Softcover Textbook € 48.– / CHF 78.– ISBN 3-7643-7259-1 Krantz, S.G. Handbook of Logic and Proof Universal Logic is not a new logic, but Techniques for Computer Science a general theory of logics, considered 2002. XIX, 245 p. 16 illus. Hardcover as mathematical structures. The name € 48.– / CHF 85.– was introduced about ten years ISBN 0-8176-4220-X ago, but the subject is as old as the beginning of modern logic: Alfred Nievergelt, Y. Tarski and other Polish logicians such Foundations of Logic and as Adolf Lindenbaum developed a Mathematics general theory of logics at the end Applications to Computer Science and of the 1920s based on consequence Cryptography operations and logical matrices. The 2001. XVI, 415 p. 22 illus. Hardcover subject was revived after the flowering € 84.– / CHF 140.– of thousands of new logics during the ISBN 0-8176-4249-8 last thirty years: there was a need for a Textbook systematic theory of logics to put some order in this chaotic multiplicity. Schröder, B. This book contains recent works on Ordered Sets universal logic by first-class researchers An Introduction from all around the world. The book 2003. XVII, 391 p. 35 illus. Hardcover is full of new and challenging ideas € 68.– / CHF 120.– that will guide the future of this ISBN 0-8176-4128-9 exciting subject. It will be of interest for Textbook people who want to better understand what logic is. Tools and concepts are provided here for those who want to study classes of already existing logics or want to design and build new ones.
36 Combinatorics / Graph Theory
Andreescu, T. / Feng, Z. 102 Combinatorial Problems From the Training of the USA IMO Team 2003. XII, 115 p. 40 illus. Softcover € 28.– / CHF 42.– ISBN 0-8176-4317-6 Textbook Andreescu, T. , The University of Texas Wallis, W.D. , Southern Illinois at Dallas, Richardson, TX, USA / University, Carbondale, IL, USA Wallis, W.D. Feng, Z. , Phillips Exeter Academy, A Beginner's Guide to Finite A Beginner's Guide to Graph Exeter, NH, USA Mathematics Theory 2000. XVIII, 230 p. 121 illus. Hardcover A Path to Combinatorics for For Business, Management, and Undergraduates € 50.– / CHF 68.– the Social Sciences ISBN 0-8176-4176-9 Counting Strategies 2nd edition planned (Spring 2007): 2004. XII, 354 p. Softcover ISBN 0-8176-4484-9 2004. XVIII, 228 p. Softcover € 58.– / CHF 88.– Textbook € 48.– / CHF 75.– ISBN 0-8176-4270-6 ISBN 0-8176-4288-9 Textbook Wallis, W.D. Textbook A Beginners Guide to Discrete This concise text takes a distinctly Mathematics This unique approach to combinatorics applied approach to finite mathematics 2003. 352 p. 43 illus. Softcover is centered around challenging at the freshman and sophomore level. € 48.– / CHF 85.– examples, fully-worked solutions, and Topics are presented sequentially: ISBN 0-8176-4269-2 hundreds of problems – many from the book opens with a brief review Textbook Olympiads and other competitions, of sets and numbers, followed by an and many original to the authors. Each introduction to data sets, histograms, Wallis, W.D. chapter highlights a particular aspect means and medians. Counting Magic Graphs of the subject and casts combinatorial techniques and the Binomial Theorem 2001. XIV, 146 p. 21 illus. Softcover concepts in the guise of questions, are covered, which provides the € 52.– / CHF 92.– illustrations, and exercises that are foundation for elementary probability ISBN 0-8176-4252-8 designed to encourage creativity, theory; this, in turn, leads to basic Textbook improve problem-solving techniques, statistics. and widen the reader's mathematical Graph theory is defined, with horizons. particular emphasis on its use in Topics encompass permutations and mathematical modeling. Matrices combinations, binomial coefficients and vectors are discussed, along and their applications, recursion, with several elementary commercial bijections, inclusions and exclusions, applications. The book concludes with and generating functions. an introduction to linear programming, A Path to Combinatorics for including the simplex method Undergraduates is a lively introduction and duality. Ample examples and not only to combinatorics, but also to illustrations are provided throughout; mathematical ingenuity, rigor, and the each section contains two sets of joy of solving puzzles. problems, with solutions provided for the first set.
37 Lattice Theory
Grätzer, G. , University of Manitoba, Grätzer, G. , University of Manitoba, Winnipeg, MB, Canada Winnipeg, MB, Canada The Congruences of a Finite General Lattice Theory Lattice 2nd ed. 1998. Corr. Printing. A Proof-by-Picture Approach 2003. XIX, 663 p. Softcover € 73.– / CHF 118.– 2006. XXII, 282 p. 110 illus. Hardcover ISBN 3-7643-6996-5 € 48.– / CHF 72.– ISBN 0-8176-3224-7 In this present edition, the work Textbook has been significantly updated and expanded. It contains an extensive The congruences of a lattice form new bibliography of 530 items and the congruence lattice. In the past has been supplemented by eight half-century, the study of congruence appendices authored by an exceptional lattices has become a large and group of experts. The first appendix, important field with a great number of written by the author, briefly reviews interesting and deep results and many developments in lattice theory, open problems. This self-contained specifically, the major results of the last exposition by one of the leading 20 years and solutions of the problems experts in lattice theory, George proposed in the first edition. The other Grätzer, presents the major results on subjects concern distributive lattices congruence lattices of finite lattices and duality (Brian A. Davey and Hilary featuring the author's signature "Proof- A. Priestley), continuous geometries by-Picture" method and its conversion (Friedrich Wehrung), projective lattice to transparencies. geometries (Marcus Greferath and Stefan E. Schmidt), varieties (Peter Key features: Jipsen and Henry Rose), free lattices · Includes the latest findings from a (Ralph Freese), formal concept analysis pioneering researcher in the field (Bernhard Ganter and Rudolf Wille), · Insightful discussion of techniques to and congruence lattices (Thomas construct "nice" finite lattices with Schmidt in collaboration with the given congruence lattices and "nice" author). congruence-preserving extensions · Contains complete proofs, an extensive bibliography and index, and nearly 80 open problems · Additional information provided by the author online at: www.maths. umanitoba.ca/homepages/gratzer. html/
The book is appropriate for a one- semester graduate course in lattice theory, yet is also designed as a practical reference for researchers studying lattices. 38 Number Theory
Bernstein, J. / Gelbart, S. (Eds) An Introduction to the Langlands Program 2003. VIII, 281 p. Softcover € 48.– / CHF 72.– ISBN 0-8176-3211-5 Textbook Andreescu, T. , The University of Hu, P.-C. , Shandong University, China / Texas at Dallas, Richardson, TX, USA / Yang, C.-C. , Hong Kong University of Lapidus, M.L. / Andrica, D. , "Babes-Bolyai" University, Science and Technology, China van Frankenhuysen, M. Cluj-Napoca, Romania Value Distribution Theory Fractal Geometry and Number Complex Numbers from Related to Number Theory Theory A to ...Z Complex Dimensions of Fractal Strings 2006. Approx. 556 p. Hardcover and Zeros of Zeta Functions € 2005. XI, 321 p. 82 illus. Softcover 98.– / CHF 158.– 1999. XI, 268 p. 26 illus. Hardcover € 48.– / CHF 78.– ISBN 3-7643-7568-X € 77.57 / CHF 98.– ISBN 0-8176-4326-5 ISBN 0-8176-4098-3 Textbook The subject of the book is Diophantine approximation and Nevanlinna Weil, A. The exposition concentrates on key theory. Not only does the text provide Number Theory concepts and then elementary results new results and directions, it also An Approach through History. From concerning these numbers. The reader challenges open problems and Hammurapi to Legendre learns how complex numbers can collects latest research activities on 1984. 18 illus. Hardcover be used to solve algebraic equations these subjects made by the authors € 108.– / CHF 188.– and to understand the geometric over the past eight years. Some of ISBN 0-8176-3141-0 interpretation of complex numbers and the significant findings are the proof the operations involving them. of the Green-Griffiths conjecture by The theoretical parts of the book are using meromorphic connections and augmented with rich exercises and Jacobian sections, and a generalized problems at various levels of difficulty. abc-conjecture. The book also presents A special feature of the book is the the state of the art in the studies of last chapter, a selection of outstanding the analogues between Diophantine Olympiad and other important approximation (in number theory) and mathematical contest problems solved value distribution theory (in complex by employing the methods already analysis), with a method based on presented. Vojta’s dictionary for the terms of these The book reflects the unique two fields. The approaches are relatively experience of the authors. It distills natural and more effective than existing a vast mathematical literature, most methods. of which is unknown to the western The book is self-contained and public, and captures the essence of an appended with a comprehensive abundant problem culture. The target and up-to-date list of references. It audience includes undergraduates, high is of interest to a broad audience of school students and their teachers, graduate students and researchers mathematical contestants (such as specialized in pure mathematics. those training for Olympiads or the W. L. Putnam Mathematical Competition) and their coaches, as well as anyone interested in essential mathematics.
39 Algebra
Girard, P.R. , INSA Lyon, France Gohberg, I. , Tel Aviv University, Israel / Andreescu, T. , The University of Texas Quaternions, Clifford Lancaster, P. , University of Calgary, at Dallas, Richardson, TX, USA / Algebras and Relativistic Canada / Rodman, L. , College of Feng, Z., Phillips Exeter Academy, Physics William and Mary, Williamsburg, USA Exeter, USA Indefinite Linear Algebra and 103 Trigonometry Problems 2007. Approx. 184 p. Softcover Approx. € 38.– / CHF 58.– Applications From the Training of the USA IMO ISBN 3-7643-7790-9 2005. XII, 357 p. Softcover Team Due in Spring 2007 € 38.– / CHF 64.– Textbook ISBN 3-7643-7349-0 2005. XII, 214 p. 79 illus. Softcover Textbook € 48.– / CHF 78.– The use of Clifford algebras in ISBN 0-8176-4334-6 mathematical physics and engineering This book is dedicated to relatively Textbook has grown rapidly in recent years. recent results in linear algebra with Whereas other developments have indefinite inner product. It also 103 Trigonometry Problems contains priviledged a geometric approach, the includes applications to differential and highly-selected problems and solutions author uses an algebraic approach difference equations with symmetries, used in the training and testing of which can be introduced as a tensor matrix polynomials and Riccati the USA International Mathematical product of quaternion algebras and equations. These applications have Olympiad (IMO) team. Though provides a unified calculus for much been developed in the last fifty years, many problems may initially appear of physics. and all of them are based on linear impenetrable to the novice, most can The book proposes a pedagogical algebra in spaces with indefinite inner be solved using only elementary high introduction to this new calculus, based product. The latter forms a new more school mathematics techniques. on quaternions, with applications or less independent branch of linear mainly in special relativity, classical algebra and we gave it the name of Key features: electromagnetism and general relativity. indefinite linear algebra. This new · Problem-solving tactics and The volume is intended for students, subject in linear algebra is presented strategies, along with practical researchers and professors in physics, following the lines and principles of a test-taking techniques, provide in- applied mathematics and engineering standard linear algebra course. depth enrichment and preparation interested in this new quaternionic This book has the structure of a for possible participation in various Clifford calulus. graduate text in which chapters of mathematical competitions advanced linear algebra form the core. · Comprehensive introduction (first This together with the many significant chapter) to trigonometric functions, applications and accessible style will their relations and functional make it widely useful for engineers, properties, and their applications scientists and mathematicians alike. in the Euclidean plane and solid geometry expose advanced students to college level material
103 Trigonometry Problems is a cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training.
40 Kunz, E. , University of Regensburg, Kwak, J.H. / Hong, S. , both Pohang Edwards, H.M. , Courant Institute, Germany University of Science and Technology, New York, NY, USA Introduction to Plane Pohang, Republic of South Korea Linear Algebra Algebraic Curves Linear Algebra 2005. XIV, 184 p. Softcover 2005. XII, 293 p. 52 illus. Softcover 2nd ed. € 54.– / CHF 86.– € 48.– / CHF 78.– 2004. XIV, 390 p. Softcover ISBN 0-8176-4370-2 ISBN 0-8176-4381-8 € 58.– / CHF 94.– Textbook Textbook ISBN 0-8176-4294-3 Textbook In his new undergraduate textbook, This work treats an introduction to Harold M. Edwards proposes a radically commutative ring theory and algebraic A cornerstone of undergraduate new and thoroughly algorithmic plane curves, requiring of the student mathematics, science, and engineering, approach to linear algebra. Originally only a basic knowledge of algebra. this clear and rigorous presentation inspired by the constructive philosophy Kunz's proven conception of teaching of the fundamentals of linear of mathematics championed in the topics in commutative algebra algebra is unique in its emphasis and 19th century by Leopold Kronecker, the together with their applications to integration of computational skills and approach is well suited to students algebraic geometry makes this book mathematical abstractions. The power in the computer-dominated late 20th significantly different from others on and utility of this beautiful subject century. plane algebraic curves. The exposition is demonstrated, in particular, in its Each proof is an algorithm described focuses on the purely algebraic aspects focus on linear recurrence, difference in English that can be translated into of plane curve theory, leaving the and differential equations that affect the computer language the class is topological and analytical viewpoints applications in physics, computer using and put to work solving problems in the background, with only casual science, and economics. and generating new examples, making references to these subjects and the study of linear algebra a truly suggestions for further reading. Key topics and features include: interactive experience. · Linear equations, matrices, Designed for a one-semester course, Most important to this text: determinants, vector spaces, complex this text adopts an algorithmic · Emphasizes and utilizes the theory vector spaces, inner products, Jordan approach to linear algebra giving of filtered algebras, their graduated canonical forms, and quadratic forms the student many examples to work rings and Rees algebras, to deduce · Rich selection of examples and through and copious exercises to test basic facts about the intersection explanations, as well as a wide range their skills and extend their knowledge theory of plane curves of exercises at the end of every of the subject. Students at all levels will · Presents residue theory in the section find much interactive instruction in this affine plane and its applications to · Excellent index text while teachers will find stimulating intersection theory examples and methods of approach to · Methods of proof for the This second edition includes substantial the subject. Riemann–Roch theorem conform revisions, new material on minimal to the presentation of curve theory, polynomials and diagonalization, as formulated in the language of well as a variety of new applications. filtrations and associated graded The text will serve theoretical and rings applied courses and is ideal for self- · Examples, exercises, figures and study. suggestions for further study round out this fairly self-contained textbook.
41 Algebra
Kunz, E. Introduction to Commutative Algebra and Algebraic Geometry 2000 (5th printing). 256 p. Softcover € 46.– / CHF 88.– ISBN 0-8176-3065-1
Rose, H.E. , University of Bristol, UK Szabo, S. Linear Algebra Topics in Factorization of Abelian Groups A Pure Mathematical Approach 2004. VI, 334 p. Hardcover € 98.– / CHF 158.– 2002. XIV, 240 p. Hardcover ISBN 3-7643-7158-7 € 45.– / CHF 72.– ISBN 3-7643-6905-1 Srinivas, V. Algebraic K-Theory € 23.– / CHF 38.– 2nd ed. ISBN 3-7643-6792-X (Softcover) 1994. 364 p.Hardcover Textbook € 68.– / CHF 120.50 ISBN 0-8176-3702-8 Linear algebra is one of the most important branches of mathematics – important because of its many applications to other areas of mathematics, and important because it contains a wealth of ideas and results which are basic to pure mathematics. This book gives an introduction to linear algebra, and develops and proves its fundamental properties and theorems taking a pure mathematical approach. A large number of examples, exercises and problems are provided. Answers and/or sketch solutions to all of the problems are given in an appendix. The intended readership is undergraduate mathematicians, also anyone who requires a more than basic understanding of the subject. This book will be most useful for a "second course" in linear algebra, that is for students that have seen some elementary matrix algebra. But as all terms are defined from scratch, the book can be used for a "first course" for more advanced students.
42 Geometry / Topology
Ramirez Galarza, A.I. / Seade, J. , Andreescu, T. , The University of Toponogov, V.A., Sobolev Institute of both Universidad Nacional Autónoma Texas at Dallas, Richardson, TX, USA / Mathematics, Novosibirsk, Russia de México Mushkarov, O., Bulgarian Academy of Differential Geometry of Introduction to Classical Sciences, Sofia, Bulgaria / Curves and Surfaces Geometries Stoyanov, L. , University of Western Australia, Crawley, Western Australia A Concise Guide 2006. Approx. 260 p. Softcover € 28.– / CHF 45.– Geometric Problems on 2006. XII, 206 p. 70 illus. Softcover ISBN 3-7643-7517-5 Maxima and Minima € 48.– / CHF 78.– Due in Autumn 2006 2006. X, 264 p., 262 illus. Softcover ISBN 0-8176-4384-2 Textbook € 58.– / CHF 88.– Textbook ISBN 0-8176-3517-3 This book follows Klein’s proposal Textbook The study of curves and surfaces of studying geometry by looking at forms an important part of classical the symmetries (or rigid motions) of While most texts view the study of differential geometry. This book the space in question. In this way extrema within the context of calculus, presents traditional material in this the classical geometries are studied: this carefully constructed problem book field along with important ideas of Euclidean, affine, elliptic, projective and takes a uniquely intuitive approach to Riemannian geometry. The reader hyperbolic. For simplicity the focus is the subject: it presents hundreds of is introduced to curves, then to on the two-dimensional case, which extreme value problems, examples, and surfaces, and finally to more complex is already rich enough, though some solutions primarily through Euclidean topics. Standard theoretical material aspects of the 3 or n-dimensional geometry. is combined with more difficult geometries are included. Once plane Written by a team of established theorems and complex problems, while geometry is well understood, it is much mathematicians and professors, this maintaining a clear distinction between easier to go into higher dimensions. work draws on the authors’ experience the two levels. in the classroom and as Olympiad The book appeals to, and develops, coaches. By exposing readers to a Key topics and features: the geometric intuition of the reader. wealth of creative problem-solving · Covers central concepts including Some basic notions of algebra and approaches, the text communicates curves, surfaces, geodesics, and analysis are also used to get better not only geometry but also algebra, intrinsic geometry understandings of various concepts calculus, and topology. Ideal for use at · Substantive material on the and results. the junior and senior undergraduate Aleksandrov global angle comparison level, as well as in enrichment theorem, which the author programs and Olympiad training for generalized for Riemannian manifolds advanced high school students, this · Contains many nontrivial and original book’s breadth and depth will appeal problems, some with hints and to a wide audience, from secondary solutions school teachers and pupils to graduate students, professional mathematicians, This rigorous exposition, with well- and puzzle enthusiasts. motivated topics, is ideal for advanced undergraduate and first-year graduate students seeking to enter the fascinating world of geometry.
43 Geometry / Topology
Mallios, A. , University of Athens Moszynska, M. , Warsaw University, Benz, W. , University of Hamburg, Panepistimioupolis, Athens, Greece Poland Germany Modern Differential Selected Topics in Convex Classical Geometries in Geometry in Gauge Theories Geometry Modern Contexts Volume I: Maxwell Fields 2005. XVI, 226 p. 30 illus. Also Geometry of Real Inner Product available online. Softcover Spaces 2006. XVII, 293 p. Softcover € 48.– / CHF 78.– € 98.– / CHF 152.– ISBN 0-8176-4396-6 2005. XII, 244 p. Hardcover ISBN 0-8176-4378-8 Textbook € 78.– / CHF 128.– ISBN 3-7643-7371-7 Differential geometry, in the classical The field of convex geometry sense, is developed through the has become a fertile subject of This book is based on real inner theory of smooth manifolds. Modern mathematical activity in the past few product spaces X of arbitrary (finite differential geometry from the decades. This exposition, examining in or infinite) dimension greater than or author’s perspective is used in this detail those topics in convex geometry equal to 2. With natural properties work to describe physical theories of that are concerned with Euclidean of (general) translations and general a geometric character without using space, is enriched by numerous distances of X euclidean, hyperbolic any notion of calculus (smoothness). examples, illustrations, and exercises, translations and distances, respectively, Instead, an axiomatic treatment of with a good bibliography and index. are characterized. For these spaces differential geometry is presented via The theory of intrinsic volumes X also the sphere geometries of sheaf theory (geometry) and sheaf for convex bodies, along with the Möbius and Lie are studied (besides cohomology (analysis). Using vector Hadwiger characterization theorems, euclidean and hyperbolic geometry), sheaves, in place of bundles, based whose proofs are based on beautiful as well as geometries where Lorentz on arbitrary topological spaces, this geometric ideas such as the rounding transformations play the key role. unique approach in general furthers theorems and the Steiner formula, are The geometrical notions of this book new perspectives and calculations treated in Part 1. In Part 2 the reader are based on general spaces X as that generate unexpected potential is given a survey on curvature and described. This implies that also applications. surface area measures and extensions mathematicians who have not so far Modern Differential Geometry in of the class of convex bodies. Part 3 is been especially interested in geometry Gauge Theories is a two-volume devoted to the important class of star may study and understand great ideas research monograph that systematically bodies and selectors for convex and of classical geometries in modern and applies a sheaf-theoretic approach star bodies, including a presentation general contexts. to such physical theories as gauge of two famous problems of geometric Proofs of newer theorems, theory. Beginning with Volume 1, the tomography: the Shephard problem and characterizing isometries and Lorentz focus is on Maxwell fields. Continuing the Busemann–Petty problem. transformations under mild hypotheses in Volume 2, this sheaf-theoretic The book can be used in the classroom are included, like for instance infinite approach is applied to Yang–Mills fields setting for graduates courses or dimensional versions of famous in general. The text contains a wealth seminars in convex geometry, geometric theorems of A.D. Alexandrov on Lorentz of detailed and rigorous computations. and convex combinatorics, and convex transformations. A real benefit is the analysis and optimization. dimension-free approach to important Volume II: Yang-Mills Fields geometrical theories. Only prerequisites are basic linear algebra and basic 2- 2007. Approx. 304 p. Softcover and 3-dimensional real geometry. Approx. € 98.– / CHF 148.– ISBN 0-8176-4379-6 Due in Spring 2007
44 Ablamowicz, R. / Sobczyk, G. (Eds) Gutenmacher, V. / Vasilyev, N.B. Lectures on Clifford (Geometric) Lines and Curves Algebras and Applications A Practical Geometry Handbook 2004. XVII, 221 p. Softcover 3rd ed. € 36.– / CHF 56.– 2004. XVIII, 158 p. 350 illus. Softcover ISBN 0-8176-3257-3 € 42.– / CHF 70.– Textbook ISBN 0-8176-4161-0 Textbook Arnold, V. / Gelfand, I.M. / Smirnov, M. / Retakh, V.S (Eds) Kadison, L. / Kromann, M.T. Arnold-Gelfand Mathematical Projective Geometry and Modern Seminars: Geometry and Algebra Singularity Theory 1995. XVI, 224 pp. 118 figs. Hardcover 1996. Approx. 300 pp. 90 figs. € 58.– / CHF 102.50 Hardcover ISBN 0-8176-3900-4 € 178.– / CHF 208.– ISBN 0-8176-3883-0 Kawauchi, A. Survey on Knot Theory Bloch, E. 1995. 442 p. Hardcover A First Course in Geometric € 88.– / CHF 138.– Topology and Differential ISBN 3-7643-5124-1 Geometry 1996. 440 p.Hardcover Klein, F. € 64.– / CHF 104.– Vorlesungen über das Ikosaeder ISBN 0-8176-3840-7 1993. 344 S. Geb. Textbook € 54.21 / CHF 88.– ISBN 3-7643-2454-6 Chriss, N. / Ginzburg, V. Representation Theory and Lüneburg, H. Complex Geometry Die euklidische Ebene und ihre 1995. 145 illus. Hardcover Verwandten € 128.– / CHF 158.– 1997. 216 S. Brosch. ISBN 0-8176-3792-3 € 28.22 / CHF 44.– ISBN 3-7643-5685-5 Dieudonne, J. Textbook A History of Algebraic and Differential Topology, 1900-1960 Mayer, K.H. 1989. 675 p. Hardcover Algebraische Topologie € 108.– / CHF 183.– 1989. 279 S. Brosch. ISBN 0-8176-3388-X € 26.17 / CHF 40.– ISBN 3-7643-2229-2 Eliashberg, Y. / Milman, V. / Polterovich, L. / Schoen, R. (Eds) Murasugi, K. Geometries in Interaction Knot Theory and its Applications GAFA Special Issue in Honor of Mikhail 1996. Hardcover Gromov € 118.– / CHF 198.– 1995. XVI, 440 p. Hardcover ISBN 0-8176-3817-2 € 42.– / CHF 68.– ISBN 3-7643-5260-4
45 Analysis · Operator Theory OT
OT Operator Theory: Advances and Applications
Edited by Erusalimskii, Y. M . , Rostov State Haase, M. , University of Leeds, U.K. Gohberg, I., Tel Aviv University, University, Russia / Gohberg, I. , Tel The Functional Calculus for Israel Aviv University, Israel / Grudsky, S.M. , Sectorial Operators CINVESTAV, Mexico-City, Mexico / 2006. 408 p. Hardcover This series is devoted to the Rabinovich, V., IPN, Mexico-City, € 78.– / CHF 128.– publication of current research in Mexico / Vasilevski, N. , CINVESTAV, Mexico-City, Mexico (Eds) ISBN 3-7643-7697-X operator theory, with particular OT – Vol. 169 emphasis on applications to classical Modern Operator Theory and analysis and the theory of integral Applications This book contains a systematic (and equations, as well as to numerical The Igor Borisovich Simonenko partly axiomatic) treatment of the analysis, mathematical physics and Anniversary Volume holomorphic functional calculus for mathematical methods in unbounded sectorial operators. The electrical engineering. 2006. Approx. 248 p. Hardcover account is generic so that it can be Approx. € 128.– / CHF 208.– used to construct and interrelate ISBN 3-7643-7736-4 holomorphic functional calculi for OT – Vol. 170 other types of unbounded operators. Due in Autumn 2006 Particularly, an elegant unified approach to holomorphic semigroups is obtained. This volume is dedicated to the The connection of functional calculus eminent Russian mathematician I.B. with interpolation theory is developed Simonenko on the occasion of his 70th to a considerable extent. One chapter birthday. It presents recent results in is dedicated to the stunning relations Fredholm theory for singular integral between functional calculus, similarity and convolution operators, estimates questions and numerical range for singular integral operators on conditions for operators on Hilbert Carleson curves acting in Lp spaces spaces. In the last chapter applications with variable exponents, the finite to PDE, evolution equations and sections method for band-dominated approximation theory as well as the and Toeplitz operators, Szegö type connection with harmonic analysis are theorems, the averaging method for described. nonlinear equations, among others. All papers are contributed by leading experts, many of whom are connected with I.B. Simonenko as students or collaborators. The book testifies the wide mathematical interest of I.B. Simonenko and includes a biography, his list of publications and a list of his Ph.D. students.
46 OT – LOLS
LOLS Linear Operators and Linear Systems Subseries of OT Alpay, D., Ben Gurion University, Beer- Alpay, D. , Ben Gurion University of the Sheva, Israel / Gohberg, I., Tel Aviv Negev, Beer Sheva, Israel / Editors: University, Ramat Aviv, Israel (Eds) Gohberg, I. , Tel Aviv University, Ramat Alpay, D., Ben Gurion University of the Interpolation, Schur Aviv, Israel (Eds) Negev, Beer Sheva, Israel Functions and Moment The State Space Method Ball, J.A., Virginia Tech, Blacksburg, Problems VA, USA Generalizations and Applications Ran, A.M.C., Vrije Universiteit, 2006. XI, 302 p. Hardcover € 128.– / CHF 208.– 2006. VII, 270 p. Hardcover Amsterdam, Netherlands € ISBN 3-7643-7546-9 128.– / CHF 208.– ISBN 3-7643-7370-9 The theory of linear operators has OT – Vol. 165 LOLS OT – Vol. 161 had an important influence on LOLS the development of mathematical systems theory. On the other hand, Schur analysis originates with a 1917 paper by Schur where he associated to The present volume contains a mathematical systems theory serves collection of essays representing some as a direct source of motivation and a function analytic and contractive in the open unit disk a sequence, finite of the recent advances in the state new techniques for the theory of space method. Methods covered include linear operators and its applications. or infinite, of numbers in the open unit disk, called Schur coefficients. noncommutative systems theory, The subseries Linear Operators and new aspects of the theory of discrete Linear Systems (LOLS) is dedicated In signal processing, they are often called reflection coefficients. Under the systems, discrete analogs of canonical to these connections between the systems, and new applications to the theory of linear operators and the word "Schur analysis" one encounters a variety of problems related to theory of Bezoutiants and convolution mathematical theory of linear systems. equations. LOLS will continue in the tradition of Schur functions such as interpolation the series Operator Theory: Advances problems, moment problems, study of and Applications and maintain the high the relationships between the Schur quality of the volumes. Books published coefficients and the properties of the in LOLS will be either monographs or function, study of underlying operators consist of essays presenting the state and others. of the art and new results. This volume is almost entirely The volumes will be addressed to a dedicated to the analysis of Schur and wide range of mathematicians from Carathéodory functions and to the beginners to experts in these fields. solutions of problems for these classes.
47 Analysis · Operator Theory OT
Koelink, E. / van Neerven, J. / Alpay, D. , Ben Gurion University of the Boggiatto, P. / Rodino, L. , both de Pagter, B. / Sweers, G. , all TU Negev, Israel (Ed.) Università di Torino, Italy / Toft, J. , Delft, The Netherlands (Eds) Wavelets, Multiscale Systems Växjö University, Sweden / Partial Differential Equations and Hypercomplex Analysis Wong, M. W., York University, Toronto, ON, Canada (Eds) and Functional Analysis 2006. Approx. 204 p. Hardcover Pseudo-Differential Operators The Philippe Clément Festschrift € 128.– / CHF 199.– ISBN 3-7643-7587-6 and Related Topics 2006. Approx. 304 p. Hardcover OT – Vol. 167 2006. VI, 244 p. Hardcover € 128.– / CHF 198.– € 108.– / CHF 178.– ISBN 3-7643-7600-7 From a mathematical point of view ISBN 3-7643-7513-2 OT – Vol. 168 it is fascinating to realize that most, OT – Vol. 164 if not all, of the notions arising from Capturing the state of the art of the the theory of analytic functions in This volume consists of sixteen peer- interplay between partial differential the open unit disk have counterparts reviewed articles based on the invited equations, functional analysis, maximal when one replaces the integers by talks at the International Conference regularity, and probability theory, the nodes of a homogeneous tree. It on Pseudo-Differential Operators and this volume was initiated at the Delft is also fascinating to realize that a Related Topics held at Växjö University conference on the occasion of the whole function theory, different from in Sweden from June 22 to June retirement of Philippe Clément. It will the classical theory of several complex 25, 2004. The objective is to look be of interest to researchers in PDEs variables, can be developped when at pseudo-differential operators and and functional analysis. one considers hypercomplex (Clifford) related topics and to report recent variables, Fueter polynomials and the advances in a broad spectrum of topics Contributions by G. Caristi, C. Cauchy-Kovalevskaya product, in place such as partial differential equations, Carstensen, S. Cerrai, G. Da Prato, of the classical polynomials in three quantization, Wigner transforms, Weyl A.F.M. ter Elst, O. van Gaans, M. independent variables. transforms on Lie groups, mathematical Geissert, H. Heck, M. Hieber, F. den This volume contains a selection of physics, time-frequency analysis, frames, Hollander, T.P. Hytönen, S.-O. Londen, papers on the topics of Clifford analysis and stochastic processes. The book A. Lunardi, E. Mitidieri, N. Okazawa, and wavelets and multiscale analysis, should be of great interest to graduate J. Prüss, J. Rappaz, D.W. Robinson, A. the latter being understood in a very students and researchers in analysis, Sikora, G. Simonett, E.G.F. Thomas, L. wide sense. The theory of wavelets mathematical physics and mathematical Weis, M. Wilke, Y. Zhu. is mathematically rich and has many sciences. It is a valuable complement practical applications. to the volume "Advances in Pseudo- Differential Operators" published in the Contributors: R. Abreu-Blaya, J. Bory- same series in 2004. Reyes, F. Brackx, Sh. Chandrasekaran, N. de Schepper, P. Dewilde, D.E. Dutkay, K. Gustafson, H. Heyer, P.E.T. Jorgensen, T. Moreno-García, L. Peng, F. Sommen, M.W. Wong, J. Zhao, H. Zhu
48 OT – APDE
APDE OT 159: Reissig, M. / Schulze, B.-W. (Eds) Advances in New Trends in the Theory of Hyperbolic Equations Partial Differential (2005) € 148.– / CHF 238.– Equations ISBN 3-7643-7283-4 Subseries of OT de Gosson, M.A. , Universität APDE Potsdam, Germany OT 151: Gil, J. / Krainer, T. / Editors: Symplectic Geometry and Witt, I. (Eds) Schulze, B.-W., Universität Potsdam, Quantum Mechanics Aspects of Boundary Problems in Germany 2006. Approx. 392 p. Hardcover Analysis and Geometry (2004) Albeverio, S., Universität Bonn, € 138.– / CHF 218.– € 128.– / CHF 208.–. Germany ISBN 3-7643-7574-4 ISBN 3-7643-7069-6 Demuth, M., TU Clausthal, Germany OT – Vol. 166 APDE Goldstein, J.A., University of APDE Memphis, USA OT 145: Albeverio, S. / Demuth, M. / Tose, N., Keio University, Yokohama, This book is devoted to a rather Schrohe, E. / Schulze, B.-W. (Eds) Japan complete discussion of techniques and Nonlinear Hyperbolic Equations, topics intervening in the mathematical Spectral Theory, and Wavelet The subseries Advances in Partial treatment of quantum and semi- Transformations (2003) Differential Equations is intended to classical mechanics. It starts with a € 128.– / CHF 198.– report on recent developments in all rigorous presentation of the basics of ISBN 3-7643-2168-7 areas of partial differential equations, symplectic geometry and of its multiply- APDE in particular, on those belonging to the oriented extension. Further chapters tradition defined by the series Operator concentrate on Lagrangian manifolds, OT 138: Albeverio, S. / Demuth, M. / Theory: Advances and Applications and Weyl operators and the Wigner-Moyal Schrohe, E. / Schulze, B.-W. (Eds) new areas. The Advances volumes will transform as well as on metaplectic Parabolicity, Volterra Calculus, and consist primarily of expository research groups and Maslov indices. Thus the Conical Singularities articles, presenting both an overview keys for the mathematical description A Volume of Advances in Partial of the state of a field and new results, of quantum mechanics in phase space Differential Equations (2002) in such areas as microlocal analysis are discussed. They are followed by € 118.– / CHF 178.– and its applications to asymptotic a rigorous geometrical treatment of ISBN 3-7643-6906-X phenomena, mathematical physics, the uncertainty principle. Then Hilbert- APDE spectral theory, as well as symplectic Schmidt and trace-class operators geometry, the analysis of singularities are exposed in order to treat density OT 125: Gil, J.B. / Grieser, D. / of solutions, and geometric analysis. matrices. In the last chapter the Weyl Lesch, M. (Eds) Selected articles of this kind may also pseudo-differential calculus is extended Approaches to Singular Analysis appear as a separate monographic to phase space in order to derive a A Volume of Advances in Partial volume. A certain number of short Schrödinger equation in phase space Differential Equations (2001) communications will also be published. whose solutions are related to those € 108.– / CHF 168.– of the usual Schrödinger equation by a ISBN 3-7643-6518-8 wave-packet transform. APDE
49 Analysis · Operator Theory OT
OT 160: Kaashoek, M.A. / Seatzu, S. / van der Mee, C. (Eds) Recent Advances in Operator Theory and Its Applications The Israel Gohberg Anniversary Volume (2005) € 168.– / CHF 278.– Langer, M. , University of Strathclyde, Förster, K.-H. / Jonas, P ., both TU ISBN 3-7643-7290-7 Glasgow, U.K. / Luger, A. / Berlin, Germany / Langer, H. , TU Wien, Woracek, H. , both TU Vienna, Austria Austria (Eds) OT 158: Eiderman, V.Y. / Samokhin, M.V. (Eds) (Eds) Operator Theory in Krein Selected Topics in Complex Analysis Operator Theory and Spaces and Nonlinear The S. Ya. Khavinson Memorial Volume Indefinite Inner Product Eigenvalue Problems (2005) Spaces € 118.– / CHF 194.– Presented on the Occasion of the 2006. VI, 308 p. Hardcover ISBN 3-7643-7251-6 Retirement of Heinz Langer in the € 128.– / CHF 208.– Colloquium on Operator Theory, ISBN 3-7643-7452-7 OT 157: Alpay, D. / Vinnikov, V. (Eds) Vienna, March 2004 OT – Vol. 162 Operator Theory, Systems Theory and Scattering Theory: 2006. XXXII, 379 p. Hardcover This volume contains 16 original Multidimensional Generalizations € 148.– / CHF 238.– research papers written by participants (2005) ISBN 3-7643-7515-9 of the 3rd Workshop on Operator € 128.– / CHF 208.– OT – Vol. 163 Theory in Krein Spaces and Nonlinear ISBN 3-7643-7212-5 Eigenvalue Problems, which was In March 2004, an international held at the Technische Universität OT 156: Ebenfelt, P. / conference was held in Vienna, Austria, Berlin, Germany, December 12–14, Gustafsson, B. / Khavinson, D. / on the occasion of the retirement 2003. They deal with spectral and Putinar, M. (Eds) of Heinz Langer, one of the leading perturbation theory of linear operators Quadrature Domains and Their experts in operator theory of indefinite in indefinite inner product spaces Applications inner product spaces. This volume and their applications. The topics The Harold S. Shapiro Anniversary Volume contains some of the papers presented include extension theory of symmetric (2005) € 108.– / CHF 178.– at the meeting. These fifteen refereed operators, normal operators, realization ISBN 3-7643-7145-5 articles report on recent and original theory and models of generalized results in various areas of operator Nevanlinna functions, interpolation OT 155: Ashino, R. / Boggiatto, P. / theory, all of them related with the problems, reproducing kernel spaces, Wong, M.-W. (Eds) work of Heinz Langer. The topics range matrix and operator pencils, locally Advances in Pseudo-Differential from abstract spectral theory in Krein definitizable functions, and semigroups. Operators (2004) spaces to more concrete applications, € 108.– / CHF 178.– e.g., to boundary value problems, ISBN 3-7643-7140-4 the study of orthogonal functions or moment problems. OT 154: Janas, J. / Kurasov, P. / The book closes with a historical survey Naboko, S. (Eds) paper. Spectral Methods for Operators of The scientific part of the book is Mathematical Physics (2004) preceeded by some biographical € 118.– / CHF 188.– material and some information about ISBN 3-7643-7133-1 the conference itself. This includes the conference program, the list of participants and an updated list of publications of Heinz Langer.
50 OT
OT 153: Gaspar, D. / Gohberg, I. / OT 146: Kopachevsky, N.D. / OT 136: Wong, M.-W. Timotin, D. / Vasilescu, F.H. / Krein, S. Wavelet Transforms and Zsido, L. (Eds) Operator Approach to Linear Localization Operators (2002) Recent Advances in Operator Problems of Hydrodynamics € 98.– / CHF 158.– Theory, Operator Algebras, and Volume 2: Nonself-adjoint Problems for ISBN 3-7643-6789-X their Applications Viscous Fluids (2003) XIXth International Conference on € 188.– / CHF 278.– OT 135: Böttcher, A. / Gohberg, I. / Operator Theory, Timisoara (Romania), ISBN 3-7643-2190-3 Junghanns, P. (Eds) 2002 (2005) Toeplitz Matrices, Convolution € 128.– / CHF 208.– OT 144: Belitskii, G. / Tkachenko, V. Operators, and Integral Equations ISBN 3-7643-7127-7 One-dimensional Functional The Bernd Silbermann Anniversary Equations (2003) Volume (2002) OT 152: Eidelman, S.D. / € 98.– / CHF 156.– € 128.– / CHF 208.– Ivasyshen, S.D. / Kochubei, A.N. ISBN 3-7643-0084-1 ISBN 3-7643-6877-2 Analytic Methods in the Theory of Differential and Pseudo-Differential OT 143: Alpay, D. (Ed.) OT 134: Alpay, D. / Gohberg, I. / Equations of Parabolic Type (2004) Reproducing Kernel Spaces and Vinnikov, V. (Eds) € 138.– / CHF 228.– Applications (2003) Interpolation Theory, Systems ISBN 3-7643-7115-3 € 108.– / CHF 172.– Theory and Related Topics ISBN 3-7643-0068-X The Harry Dym Anniversary Volume OT 150: Rabinovich, V. / Roch, S. / (2002) Silbermann, B. OT 142: Böttcher, A. / € 168.– / CHF 278.– Limit Operators and Their Kaashoek, M.A. / Brites Lebre, A. / ISBN 3-7643-6762-8 Applications in Operator Theory dos Santos, A.F. / Speck, F.-O. (Eds) (2004) Singular Integral Operators, OT 133: Krall, A.M. € 168.– / CHF 278.– Factorization and Applications Hilbert Space, Boundary Value ISBN 3-7643-7081-5 International Workshop on Operator Problems and Orthogonal Theory and Applications IWOTA 2000, Polynomials (2002) OT 149: Ball, J.A. / Helton, J. W. / Portugal (2003) € 138.– / CHF 228.– Klaus, M. / Rodman, L. (Eds) € 128.– / CHF 208.– ISBN 3-7643-6701-6 Current Trends in Operator Theory ISBN 3-7643-6947-7 and Its Applications (2004) OT 132: Albeverio, S. / Elander, N. / € 168.– / CHF 278.– OT 141: Gohberg, I. / Everitt, W. N. / Kurasov, P. (Eds) ISBN 3-7643-7067-X Manojlovic, N. / dos Santos, A.F. Operator Methods in Ordinary and (Eds) Partial Differential Equations OT 148: Ashyralyev, A. / Factorization and Integrable S. Kovalevski Symposium, University of Sobolevskii, P.E. Systems Stockholm, June 2000 (2002) New Difference Schemes for Partial Summer School in Faro, Portugal, € 168.– / CHF 278.– Differential Equations (2004) September 2000 (2003) ISBN 3-7643-6790-3 € 168.– / CHF 278.– € 118.– / CHF 188.– ISBN 3-7643-7054-8 ISBN 3-7643-6938-8 OT 131: Böttcher, A. / Karlovich, Y. I . / Spitkovsky, I.M. OT 147: Gohberg, I. / OT 140: Ellis, R.L. / Gohberg, I. Convolution Operators and dos Santos, A.F. / Speck, F.-O. / Orthogonal Systems and Factorization of Almost Periodic Sepulveda Teixeira, F. / Convolution Operators (2003) Matrix Functions (2002) Wendland, W.L. (Eds) € 138.– / CHF 228.– € 118.– / CHF 188.– Operator Theoretical Methods ISBN 3-7643-6929-9 ISBN 3-7643-6672-9 and Applications to Mathematical Physics OT 137: Dybin, V. / Grudsky, S.M. OT 130: Gohberg, I. / Langer, H. (Eds) The Erhard Meister Memorial Volume Introduction to the Theory of Linear Operators and Matrices (2004) Toeplitz Operators with Infinite The Peter Lancaster Anniversary Volume € 158.– / CHF 258.– Index (2002) (2002) ISBN 3-7643-6634-6 € 158.– / CHF 238.– € 138.– / CHF 238.– ISBN 3-7643-6728-8 ISBN 3-7643-6655-9
51 Analysis · Operator Theory OT
OT 129: Borichev, A.A. / OT 122: Bart, H. / Gohberg, I. / OT 116: Gohberg, I. / Goldberg, S. / Nikolski, N.K. (Eds) Ran, A.C.M. (Eds) Krupnik, N. Systems, Approximation, Singular Operator Theory and Analysis Traces and Determinants of Linear Integral Operators, and Related The M.A. Kaashoek Anniversary Volume, Operators (2000) Topics Workshop in Amsterdam, November 12- € 148.– / CHF 238.– International Workshop on Operator 14, 1997 (2001) ISBN 3-7643-6177-8 Theory and Applications, IWOTA 2000 € 188.– / CHF 278.– (2001) ISBN 3-7643-6499-8 OT 115: Bercovici, H. / Foias, C.I. (Eds) € 198.– / CHF 318.– Operator Theory and Interpolation ISBN 3-7643-6645-1 OT 121: Elschner, J. / Gohberg, I. / International Workshop on Operator Silbermann, B. (Eds) Theory and Applications, IWOTA 96 OT 128: Kopachevskii, N.D . / Problems and Methods in (2000) Krein, S.G. Mathematical Physics € 158.– / CHF 252.– Operator Approach in Linear The Siegfried Prössdorf Memorial Volume ISBN 3-7643-6229-4 Problems of Hydrodynamics - Proceedings of the 11th TMP, Chemnitz, Volume 1: Self-adjoint Problems for an Germany, March 25-28, 1999 (2001) OT 114: de Arellano, E. R. / Shapiro, Ideal Fluid (2001) € 188.– / CHF 298.– M.V. / Tovar, L.M. / Vasilevski, N.L. € 208.– / CHF 338.– ISBN 3-7643-6477-7 (Eds) ISBN 3-7643-5406-2 Complex Analysis and Related OT 120: Beltita, D. / Sabac, M. Topics (1999) OT 127: Kerchy, L. / Foias, C.I. / Lie Algebras of Bounded Operators € 118.– / CHF 188.– Gohberg, I. / Langer, H. (Eds) (2001) ISBN 3-7643-6228-6 Recent Advances in Operator € 118.– / CHF 188.– Theory and Related Topics ISBN 3-7643-6404-1 OT 113: Havin, V.P. / Nikolski, N.K. The Bela Szökefalvi-Nagy Memorial (Eds) Volume (2001) OT 119: Litvinov, W.G. Complex Analysis, Operators, € 208.– / CHF 338.– Optimization in Elliptic Problems Related Topics ISBN 3-7643-6607-9 with Applications to Mechanics The S.A. Vinogradov Memorial Volume of Deformable Bodies and Fluid (2000) OT 126: Demuth, M. / Mechanics (2000) € 158.– / CHF 250.– Schulze, B.-W. (Eds) € 178.– / CHF 282.– ISBN 3-7643-6214-6 Partial Differential Equations and ISBN 3-7643-6199-9 Spectral Theory OT 112: Maz'ya, V. / Nazarov, S. / PDE2000 Conference in Clausthal, OT 118: Adamyan, V.M. / Plamenevskij, B. Germany (2001) Gohberg, I. / Gorbachuk, M.L. / Asymptotic Theory of Elliptic € 118.– / CHF 198.– Gorbachuk, V. / Kaashoek, M.A. / Boundary Value Problems in ISBN 3-7643-6219-7 Langer, H. / Popov, G. (Eds) Singularly Perturbed Domains Operator Theory and Related Topics Volume II (2000) OT 124: Dijksma, A. / Proceedings of the Mark Krein € 208.– / CHF 332.– Kaashoek, M. A. / Ran, A.C.M. (Eds) International Conference on Operator ISBN 3-7643-6398-3 Recent Advances in Operator Theory and Applications, Odessa, Ukraine, Theory August 18-22, 1997 Volume II (2000) OT 111: Maz'ya, V. / Nazarov, S. / The Israel Gohberg Anniversary Volume/ € 188.– / CHF 278.– Plamenevskij, B. International Workshop in Groningen, ISBN 3-7643-6288-X Asymptotic Theory of Elliptic June 1998 (2001) Boundary Value Problems in € 178.– / CHF 278.– OT 117: Adamyan, V.M. / Singularly Perturbed Domains ISBN 3-7643-6573-0 Gohberg, I. / Gorbachuk, M.L. / Volume I (2000) Gorbachuk, V.I. / Kaashoek, M.A. / € 208.– / CHF 332.– OT 123: Alpay, D. / Vinnikov, V. (Eds) Popov, G. / Langer, H. (Eds) ISBN 3-7643-6397-5 Operator Theory, System Theory Differential Operators and Related and Related Topics Topics The Moshe Livsic Anniversary Volume Proceedings of the Mark Krein (2001) International Conference on Operator € 218.– / CHF 328.– Theory and Applications, Odessa, Ukraine, ISBN 3-7643-6523-4 August 18-22, 1997 Volume I (2000) € 52 188.– / CHF 278.– ISBN 3-7643-6287-1 PNLDE
PNLDE Progress in Nonlinear Differential Equations and Their Applications
Edited by Brezis, H., Université de Dal Maso, G. / DeSimone, A., both Aftalion, A. , CNRS, Laboratoire Paris, France; Rutgers University, USA SISSA, Trieste, Italy / Tomarelli, F., Jacques-Louis Lions, Paris, France Politecnico di Milano, Italy (Eds) Vortices in Bose-Einstein Progress in Nonlinear Differential Variational Problems in Condensates Equations and Their Applications is a Materials Science 2006. XII, 204 p., 18 illus. Hardcover book series that lies at the interface 2006. X, 159 p. 30 illus. Hardcover € 84.– / CHF 132.– of pure and applied mathematics. € 88.– / CHF 138.– ISBN 0-8176-4392-3 Many differential equations are ISBN 3-7643-7564-7 PNLDE – Vol. 67 motivated by problems arising in PNLDE – Vol. 68 diversified fields such as mechanics, One of the key issues related to physics, differential geometry, This volume contains the proceedings superfluidity is the existence of engineering, control theory, biology of the international workshop vortices. In very recent experiments on and economics. “Variational Problems in Materials Bose-Einstein condensates, vortices This series is open to both the Science”, which took place at SISSA have been observed by rotating the theoretical and applied aspects, in 2004. trap holding the atoms. In contrast hopefully stimulating a fruitful Talks were devoted to a wide spectrum to a classical fluid for which the interaction between the two sides. of analytical techniques and of physical equilibrium velocity corresponds to It will publish monographs, polished systems and phenomena. They included solid body rotation, a quantum fluid notes arising from lectures and the study of BV vector fields, path such as a Bose-Einstein condensate seminars, graduate level texts, and functionals over Wasserstein spaces, can rotate only through the nucleation of quantized vortices. This monograph proceedings of focused and refereed variational approaches to quasi-static evolution, free-discontinuity problems is dedicated to the mathematical conferences. with applications to fracture and modelling of these phenomena. plasticity, systems with hysteresis or The mathematical tools employed are with interfacial energies, evolution energy estimates, Gamma convergence, of interfaces, multi-scale analysis in and homogenization techniques. The ferromagnetism and ferroelectricity, mathematical analysis is made in the variational techniques for the study of framework of the Gross-Pitaevskii crystal plasticity, of dislocations, and energy. Results are presented and open of concentrations in Ginzburg-Landau problems related to recent experiments functionals, concentrated contact are explained. interactions, and phase transitions The work can serve as a reference in biaxial liquid crystals. This volume for mathematical researchers and collects contributions authored or theoretical physicists interested in co-authored by 11 of the 20 speakers superfluidity and quantum condensates, invited to deliver lectures at the and can also complement a graduate workshop. They all contain original seminar in elliptic PDEs or modelling of results in fields which are at the physical experiments. forefront of current research, and in rapid evolution.
53 Analysis · Operator Theory PNLDE
PNLDE 64: Chipot, M. / Escher, J. (Eds) Nonlinear Elliptic and Parabolic Problems A Special Tribute to the Work of Herbert Amann (2005) € 168.– / CHF 278.– ISBN 3-7643-7266-4 Cazenave, T. , Université Pierre et Bucur, D. , Université de Metz, Metz, PNLDE 63: Bandle, C. / Berestycki, H. / Marie Curie, Paris, France / Costa, D. , France / Buttazzo, G. , Università di Brighi, B. / Brillard, A. / Chipot, M. / University of Nevada, NV, USA / Pisa, Italy Coron, J.-M. / Sbordone, C. / Shafrir, I. / Lopes, O. , UNICAMP-IMECC, Variational Methods in Shape Valente, V. / Vergara, C. G. (Eds) Campinas, Brasil / Manásevich, R. , Optimization Problems Elliptic and Parabolic Problems Universidad de Chile, Santiago, Chile / 2005. VIII, 216 p. 19 illus. Hardcover A Special Tribute to the Work of Haim Rabinowitz, P. , University of Brezis (2005) € 58.– / CHF 88.– Wisconsin-Madison, WI, USA / Ruf, B. , € 138.– / CHF 228.– ISBN 0-8176-4359-1 Università degli Studi, Milano, Italy / ISBN 3-7643-7249-4 Tomei, C. , PUC Rio de Janeiro, Brasil PNLDE – Vol. 65 (Eds) Textbook PNLDE 62: Suzuki, T. Free Energy and Self-Interacting Contributions to Nonlinear The study of shape optimization Analysis Particles (2005) problems encompasses a wide € 118.– / CHF 188.– A Tribute to D.G. de Figueiredo on spectrum of academic research with ISBN 0-8176-4302-8 the Occasion of his 70th Birthday numerous applications to the real world. In this work these problems PNLDE 61: Rodrigues, J.F. / Seregin, G. / 2006. XII, 518 p. Hardcover are treated from both the classical Urbano, J.M. (Eds) € 138.– / CHF 248.– and modern perspectives and target a Trends in Partial Differential ISBN 3-7643-7149-8 broad audience of graduate students Equations of Mathematical Physics PNLDE – Vol. 66 in pure and applied mathematics, as (2005) € well as engineers requiring a solid 108.– / CHF 178.– This volume represents a broad survey mathematical basis for the solution of ISBN 3-7643-7165-X of current research in the fields of practical problems. nonlinear analysis and nonlinear PNLDE 60: Gilding, B.H. / Kersner, R. Travelling Waves in Nonlinear differential equations. The collection of Key topics and features include: Diffusion-Convection Reaction (2004) 34 research and survey articles reflects · Presents foundational introduction to € 88.– / CHF 142.– the wide range of interests of Djairo de shape optimization theory ISBN 3-7643-7071-8 Figueiredo, including: · Poses several open problems for · various types of nonlinear partial further research PNLDE 59: Baird, P. / El Soufi, A. / differential equations and systems, · Substantial bibliography and index Fardoun, A. / Regbaoui, R. (Eds) in particular equations of elliptic, Variational Problems in Riemannian parabolic, hyperbolic and mixed type; Driven by good examples and Geometry · equations of Schrödinger, Maxwell, illustrations and requiring only a Bubbles, Scans and Geometric Flows Navier-Stokes, Bernoulli-Euler, standard knowledge in the calculus (2004) Seiberg-Witten, Caffarelli-Kohn- of variations, differential equations, € 88.– / CHF 144.– Nirenberg; and functional analysis, the book can ISBN 3-7643-2432-5 · existence, uniqueness and multiplicity serve as a text for a graduate course of solutions; in computational methods of optimal PNLDE 58: Cannarsa, P. / Sinestrari, C. · critical Sobolev growth and design and optimization, as well as Semiconcave Functions, Hamilton- connected phenomena; an excellent reference for applied Jacobi Equations, and Optimal · qualitative properties, regularity and mathematicians addressing functional Control (2004) € shape of solutions; shape optimization problems. 114.– / CHF 193.– · inequalities, a-priori estimates and ISBN 0-8176-4084-3 € asymptotic behavior; 68.– / CHF 106.– ISBN 0-8176-4336-2 (Softcover) · various applications to models such Textbook as asymptotic membranes, nonlinear plates and inhomogeneous fluids. 54 PNLDE
PNLDE 57: Ecker, K. PNLDE 50: Lorenzi, A. / Ruf, B. (Eds) PNLDE 41: Jüngel, A. Regularity Theory for Mean Evolution Equations Semigroups and Quasi-hydrodynamic Semiconductor Curvature Flow (2004) Functional Analysis Equations (2001) € 118.– / CHF 199.50 In Memory of Brunello Terreni (2002) € 128.– / CHF 198.– ISBN 0-8176-3243-3 € 138.– / CHF 228.– ISBN 3-7643-6349-5 ISBN 3-7643-6791-1 € 68.– / CHF 108.– PNLDE 39: Pacard, F. / Riviere, T. ISBN 0-8176-3781-8 (Softcover) PNLDE 49: Benci, V. / Cerami, G. / Linear and Nonlinear Aspects of Degiovanni, M. / Fortunato, D. / Vortices PNLDE 56: Galaktionov, V.A. / Giannoni, F. / Micheletti, A.M. (Eds) The Ginzburg-Landau Model (2000) € Vázquez, J.L. Variational and Topological 158.– / CHF 188.– A Stability Technique for Evolution Methods in the Study of Nonlinear ISBN 0-8176-4133-5 Partial Differential Equations Phenomena (2002) A Dynamical Systems Approach (2004) € 148.– / CHF 218.– PNLDE 38: Zheng, Y. € 108.– / CHF 166.– ISBN 0-8176-4278-1 Systems of Conservation Laws ISBN 0-8176-4146-7 Two-Dimensional Riemann Problems PNLDE 48: Antontsev, S.N. / Diaz, J.I. / (2001) € PNLDE 55: Iannelli, M. / Lumer, G. (Eds) Shmarev, S. 108.– / CHF 168.– Evolution Equations: Applications to Energy Methods for Free Boundary ISBN 0-8176-4080-0 Physics, Industry, Life Sciences and Problems Economics Applications to Nonlinear PDEs and Fluid PNLDE 37: Dacorogna, B. / EVEQ2000 Conference in Levico Terme Mechanics (2002) Marcellini, P. (Trento, Italy), October 30 - November 4, € 148.– / CHF 208.– Implicit Partial Differential Equations 2000 (2003) ISBN 0-8176-4123-8 (1999) € 124.– / CHF 198.– € 108.– / CHF 128.– ISBN 3-7643-0374-3 PNLDE 47: Freistühler, H. / ISBN 0-8176-4121-1 Szepessy, A. (Eds) PNLDE 54: Lupo, D. / Pagani, C. / Advances in the Theory of Shock PNLDE 36: Flucher, M. Ruf, B. (Eds) Waves (2001) Variational Problems with Nonlinear Equations: Methods, € 158.– / CHF 208.– Concentration (1999) € Models and Applications (2003) ISBN 0-8176-4187-4 108.– / CHF 168.– € 98.– / CHF 154.– ISBN 3-7643-6136-0 ISBN 3-7643-0398-0 PNLDE 46: Colombini, F. / Zuily, C. (Eds) Carleman Estimates and Applications PNLDE 34: Hyers, D.H. / Isac, G. / PNLDE 53: Bahri, A. to Uniqueness and Control Theory Rassias, T. Flow Lines and Algebraic Invariants (2001) Stability of Functional Equations in Contact Form Geometry (2003) € 178.– / CHF 228.– in Several Variables and Isometries € 118.– / CHF 170.– ISBN 0-8176-4230-7 (1998) ISBN 0-8176-4318-4 € 158.– / CHF 188.– PNLDE 45: Peletier, L.A. / Troy, W.C. ISBN 0-8176-4024-X PNLDE 52: Kajitani, K. / Vaillant, J. Spatial Patterns Higher Order Models in (Eds) Physics and Mechanics (2001) PNLDE 33: Kuzin, I.A. / Pohozaev, S.I. Partial Differential Equations and € 118.– / CHF 188.– Entire solutions of semilinear elliptic Mathematical Physics ISBN 0-8176-4110-6 equations (1995) € In Memory of Jean Leray (2003) Textbook 118.– / CHF 188.– € 118.– / CHF 188.– ISBN 3-7643-5323-6 ISBN 0-8176-4309-5 PNLDE 44: Gutierrez, C.E. The Monge-Ampere Equation (2001) PNLDE 31: Kohn, R. PNLDE 51: Dal Maso, G. / € 72.– / CHF 127.50 Topics in Mathematic Modelling of Tomarelli, F. (Eds) ISBN 0-8176-4177-7 Composite Materials (1997) Variational Methods for € 298.– / CHF 368.– Discontinuous Structures PNLDE 43: Grossinho, M.R. / ISBN 0-8176-3662-5 International Workshop in Villa Erba Ramos, M. / Rebelo, C. / (Cernobbio), Italy, July 2001 (2002) Sanchez, L. (Eds) PNLDE 30: Pedregal, P. € 98.– / CHF 158.– Nonlinear Analysis and Differential Parametrized Measures and ISBN 3-7643-6913-2 Equations (2001) Variational Principles (1997) € € 158.– / CHF 208.– 88.– / CHF 138.– ISBN 0-8176-4188-2 ISBN 3-7643-5697-9 55 Analysis · Operator Theory AMFM
AMFM Advances in Mathematical Fluid Mechanics Edited by Calgaro, C. / Coulombel, J.-F. / Gustafsson, B. , Royal Institute of Galdi, G.P. University of Pittsburgh, Goudon, T., all Université Lille, Technology, Stockholm, Sweden / USA Villeneuve, France (Eds) Vasiliev, A., University of Bergen, Heywood, J.G. University of British Analysis and Simulation of Norway Columbia, Vancouver, Fluid Dynamics Conformal and Potential Canada 2006. Approx. 212 p. Hardcover Analysis in Hele-Shaw Cells Rannacher, R. University of Approx. € 58.– / CHF 92.– 2006. X, 231 p. Hardcover Heidelberg, Germany ISBN 3-7643-7741-0 € 58.– / CHF 92.– AMFM ISBN 3-7643-7703-8 Advances in Mathematical Due in Autumn 2006 AMFM Fluid Mechanics is a forum for the publication of high quality This volume collects the contributions This monograph aims at giving a monographs, or collections of works, of a Conference held in June 2005 at presentation of recent and new on the mathematical theory of fluid the laboratoire Paul Painleve (UMR ideas that arise from the problems mechanics, with special regards CNRS 8524) in Lille, France. The of planar fluid dynamics and which to the Navier-Stokes equations. Its meeting was intended to review are interesting from the point of view mathematical aims and scope are hot topics and future trends in fluid of geometric function theory and similar to those of the Journal of dynamics, with the objective to foster potential theory. In particular, this book Mathematial Fluid Mechanics. exchanges of various viewpoints (e.g. is concerned with geometric problems In particular, mathematical aspects theoretical, and numerical) on the for Hele-Shaw flows. Also Hele-Shaw of computational methods and addressed questions. flows on parameter spaces (e.g., the Teichmüller space) are treated and of applications to science and connections with string theory are engineering are welcome as an revealed. Ultimately, the interaction important part of the theory. So also between several branches of complex are works in related areas of and potential analysis, and planar fluid mathematics that have a direct mechanics is discussed. bearing on fluid mechanics. For most parts of this book the background provided by graduate courses in real and complex analysis, in particular, the theory of conformal mappings and in fluid mechanics is assumed. There are some historical remarks concerning the people that have contributed to the topic. The book is as self-contained as possible.
56 AMFM
Neustupa, J. / Penel, P. (Eds) Mathematical Fluid Mechanics Recent Results and Open Questions (2001) € 148.– / CHF 258.– ISBN 3-7643-6593-5
Galdi, G.P. , University of Pittsburgh, PA, USA / H eywood, J.G., University of Heidelberg, Germany / Rannacher, R. , University of British Columbia, Vancouver, USA (Eds) Contributions to Current Challenges in Mathematical Fluid Mechanics 2004. VIII, 151 p. Hardcover € 78.– / CHF 128.– ISBN 3-7643-7104-8 AMFM
The mathematical theory of the Navier-Stokes equations presents still fundamental open questions that represent as many challenges for the interested mathematicians. This volume collects a series of articles whose objective is to furnish new contributions and ideas to these questions, with particular regard to turbulence modelling, regularity of solutions to the initial-value problem, flow in region with an unbounded boundary and compressible flow.
Contributors: A. Biryuk D. Chae and J. Lee A. Dunca, V. John and W.J. Layton T. Hishida T. Leonaviciene and K. Pileckas
57 Analysis · Operator Theory
Amann, H. , Universität Zürich, Ponnusamy, S. , Indian Institute of Constanda, C. , University of Tulsa, OK, Switzerland / Arendt, W. , Universität Technology, Madras, Chennai, India / USA / Nashed, Z. / Rollins, D. , both Ulm, Germany / Hieber, M. , TU Silverman, H. , College of Charleston, University of Central Florida, Orlando, Darmstadt, Germany / Nagel, R. , SC, USA FL, USA (Eds) Universität Tübingen, Germany / Complex Variables with Integral Methods in Science Neubrander, F. , Lousiana State Applications and Engineering University, Baton Rouge, USA / Nicaise, S. , Université Valenciennes, 2006. X, 510 p. 109 illus. Hardcover Theoretical and Practical Aspects € France (Eds) 48.– / CHF 78.– ISBN 0-8176-4457-1 2006. XVI, 312 p. 51 illus. Hardcover Functional Analysis and Due in Autumn 2006 € 72.– / CHF 112.– Evolution Equations Textbook ISBN 0-8176-4377-X Dedicated to Gunter Lumer Complex numbers can be viewed The quantitative and qualitative study 2007. Approx. 400 p. Hardcover in several ways: as an element in a of the physical world makes use of Approx. € 98.– / CHF 152.– field, as a point in the plane, and as many mathematical models governed ISBN 3-7643-7793-3 a two-dimensional vector. Examined by a great diversity of ordinary, partial Due in Spring 2007 properly, each perspective provides differential, integral, and integro- crucial insight into the interrelations differential equations. An essential Contributions by several authors in between the complex number system step in such investigations is the honour of Gunter Lumer. and its parent, the real number system. solution of these types of equations, The authors explore these relationships which sometimes can be performed by adopting both generalization and analytically, while at other times only specialization methods to move from numerically. This volume presents real variables to complex variables, a series of state-of-the-art analytic and vice versa, while simultaneously and numerical methods of solution examining their analytic and geometric constructed for important problems characteristics. arising in science and engineering, all The engaging exposition is replete based on the powerful operation of with discussions, remarks, questions, (exact or approximate) integration. and exercises, motivating not only The book, consisting of twenty understanding on the part of the seven selected chapters presented reader, but also developing the tools by well-known specialists in the needed to think critically about field, is an outgrowth of the Eighth mathematical problems. The material International Conference on Integral includes numerous examples and Methods in Science and Engineering applications relevant to engineering (Orlando 2004). Contributors cover students, along with some techniques a wide variety of topics, from the to evaluate various types of integrals. theoretical development of boundary The book may serve as a text for an integral methods to the application undergraduate course in complex of integration-based analytic and variables numerical techniques that include integral equations, finite and boundary elements, conservation laws, hybrid approaches, and other procedures.
58 Scheidemann, V. , Marburg, Germany Väth, M.A. , Universität Würzburg, Steeb, W.-H., Rand Afrikaans Introduction to Complex Germany University, Auckland Park, South Africa / Analysis in Several Variables Nonstandard Analysis Stoop, R. , ETH Zürich, Switzerland 2005. VIII, 171 p. Softcover 2007. Approx. 250 p. Hardcover Berechenbares Chaos in € 25.– / CHF 38.– € 38.– / CHF 62.– dynamischen Systemen ISBN 3-7643-7490-X ISBN 3-7643-7773-9 2006. XII, 264 S. Brosch. Due in Autumn 2006 € 27.94 / CHF 45.– This book gives a comprehensive Textbook ISBN 3-7643-7550-7 introduction to complex analysis in Lehrbuch several variables. It clearly focusses This book presents an introduction into on special topics in complex analysis Robinson's nonstandard analysis. Dieses Lehrbuch bietet eine rather than trying to encompass as Nonstandard analysis is the application grundlegende Einführung in chaotische much material as possible. Many of model theory in analysis. However, Systeme, welche keinerlei Abstriche cross-references to other parts of the reader is not expected to have any an mathematischer Exaktheit macht. mathematics, such as functional background in model theory; instead, Der Text umfasst einerseits in analysis or algebras, are pointed out some background in analysis, topology, ansprechender Tiefe die klassischen in order to broaden the view and the or functional analysis would be useful - theoretischen Gesichtspunkte der understanding of the chosen topics. A although the book is as much self- dynamischen Systeme, wobei alle major focus is extension phenomena contained as possible and can be wesentlichen Beispiele der Literatur alien to the one-dimensional theory, understood after a basic calculus ausführlich behandelt werden. Daneben which are expressed in the famous course. Unlike some other texts, it befasst er sich mit moderneren Hartog's Kugelsatz, the theorem of does not attempt to teach elementary Fragestellungen, wie etwa nach der Cartan-Thullen, and Bochner's theorem. calculus on the basis of nonstandard Natur der Berechenbarkeit oder der The book primarily aims at students analysis, but it points to some Verlässlichkeit des Computers. Die starting to work in the field of applications in more advanced analysis. Abgrenzung zu fortgeschrittenen complex analysis in several variables Such applications can hardly be Methoden ist klar gegeben durch den and teachers who want to prepare a obtained by standard methods such as Ausschluss statistischer Methoden. course. To that end, a lot of examples a deeper investigation of Hahn-Banach Zu den Kernphänomenen werden and supporting exercises are inserted limits or of finitely additive measures. kurze, aber vollständige Programme in throughout the text, which will help der Programmiersprache Mathematica students to become acquainted with angegeben, welche leicht zu verstehen the subject. sind und die man für das individuelle Experimentieren leicht übernehmen und anpassen kann. Über 180 Beispiele und Übungsaufgaben veranschaulichen das Material und vertiefen das Verständnis des Lesers. Biographien von historischen Schlüsselpersönlichkeiten bereichern den Text.
59 Analysis · Operator Theory
Amann, H. , University of Zürich, Amann, H. , Universität Zürich, Amann, H. , Universität Zürich, Switzerland / Escher, J. , University of Switzerland / Escher, J. , Universität Switzerland / Escher, J. , Universität Hannover, Germany Hannover, Germany Hannover, Germany Analysis I Analysis II Analysis III 2005. XV, 426 p. Softcover 2006. Approx. 424 p. Softcover 2006. Approx. 500 p. Softcover € 58.– / CHF 94.– € 58.– / CHF 92.– Approx. € 58.– / CHF 92.– ISBN 3-7643-7153-6 ISBN 3-7643-7472-1 ISBN 3-7643-7479-9 Textbook Due in Summer 2006 Due in Spring 2007 Textbook Textbook This book is the first of a three volume introduction to analysis. It is The second volume of this introduction The third and last volume of this series distinguished by its modern and clear into analysis deals with the integration deals with the theory of integration presentation, concentrating always theory of functions of one variable, and the foundations of global analysis. on the essential concepts. In contrast the multidimensional differential Again a modern and clear construction to most other textbooks, there is calculus and the theory of curves is emphasized which not only provides no artificial separation between the and line integrals. The modern and a well-structured and beautiful theory, theories of one variable and that of clear development that started in but also equips the reader with many variables. Emphasis is placed Volume I (3-7643-7153-6) continues. powerful tools for his further work on the early development of a solid In this way a sustainable basis will in mathematics. On this account, for foundation in topology. As well, the be created which allows to deal with instance, the Bochner-Lebesgue integral basics of complex analysis are covered. interesting applications that sometimes is presented which is an indispensable go considerably beyond the material resource for the modern theory of This book is directed primarily to the that is represented in traditional partial differential equations. Likewise students and instructors of beginning textbooks. This applies, for instance, a version of Stoke’s theorem is proven courses in analysis. But, with the to the exploration of Nemytskii that meets the practical needs of many examples, exercises and the operators which enable a transparent mathematics and theoretical physics as supplementary material, it is also introduction into the calculus of far as possible. suitable for self-study, as preparation variations and the derivation of the In the same way as in the previous for advanced study, and as a basis for Euler-Lagrange equations. Another volumes numerous prospects of other research in mathematics and example is the presentation of the local continuative theories also will be given, physics. theory of submanifolds of Rn. and this will convey an impression of the importance and the strength of "This textbook provides an the presented theories to the reader. outstanding introduction to analysis. Additionally these parts will be used It is distinguished by its high level to practice and to deepen the provided of presentation and its focus on the material. essential.'' Numerous examples, real calculations, Zeitschrift für Analysis und ihre a large number of exercises and many Anwendung 18, No. 4 (G. Berger, figures make this book a reliable escort review of the first German edition) for the whole course of studies.
"One advantage of this presentation is that the power of the abstract concepts are convincingly demonstrated using concrete applications.'' W. Grölz, review of the first German edition 60 Amrein, W.O. , Université de Genève, Kanwal, R.P. , Pennsylvania State GAFA 2000 Switzerland / Hinz, A.M. , University of University, University Park, PA, USA Visions in Mathematics - Towards Munich and TU Munich, Germany / Generalized Functions 2000 Pearson, D.B ., University of Hull, UK Theory and Applications (Eds) Visions in Mathematics - Towards Sturm-Liouville Theory 3rd ed. 2000 was one of the most remarkable Past and Present 2004. XX, 476 p. 41 illus. Softcover mathematical meetings in recent years. € 86.– / CHF 136.– It was held in Tel Aviv from August 25th 2005. XX, 335 p. Hardcover ISBN 0-8176-4343-5 to September 3rd, 1999, and united € 68.– / CHF 108.– Textbook some of the leading mathematicians ISBN 3-7643-7066-1 worlwide. The goals of the conference This third edition of Generalized were to discuss the importance, the This is a collection of survey articles Functions expands the treatment of methods, the past and the future of based on lectures presented at a fundamental concepts and theoretical mathematics as we enter the 21st colloquium and workshop in Geneva background material and delineates century and to consider the connection in 2003 to commemorate the 200th connections to a variety of applications between mathematics and related anniversary of the birth of Charles in mathematical physics, elasticity, wave areas. The aims of the conference are François Sturm. It aims at giving an propagation, magnetohydrodynamics, reflected in the present set of survey overview of the development of Sturm- linear systems, probability and statistics, articles, documenting the state of Liouville theory from its historical roots optimal control problems in economics, the art and future prospects in many to present day research. It is the first and more. In applying the powerful branches of the mathematics of the time that such a comprehensive survey tools of generalized functions to better current interest. This special issue will is made available in compact form. The serve the needs of physicists, engineers, serve any research mathematician or contributions come from internationally and applied mathematicians, this work advanced student as an overview and renowned experts and cover a wide is quite distinct from other books on guideline through the multifaceted range of developments of the theory. the subject. body of mathematical research in the The book can therefore serve both present and near future. as an introduction to Sturm-Liouville Key topics and important features: theory and as background for ongoing · Examination of the Poisson Special Issue GAFA 2000 – Visions in research. Summation Formula and the concepts Mathematics. A unique feature of the book is a of differential forms and the delta Toward 2000 is only available as set of comprehensive catalogue of Sturm- distribution on wave fronts two parts. Liouville differential equations covering · Enhanced presentation of the Special price (part I and II): more than fifty examples, together Schroedinger, Klein–Gordon, € 202.– / CHF 298.– with their spectral properties. Many Helmholtz, heat and wave equations Postage: € 26.– / CHF 39.– of these examples are connected with · Exposition driven by additional (without volume number) special functions and with problems examples and exercises ISSN 1016-443X (printed edition) in mathematical physics and applied · Comprehensive bibliography and ISSN 1420-8970 (electronic edition) mathematics. index · Prerequisites: advanced calculus, ordinary and partial differential equations
61 Analysis · Operator Theory
Arendt, W. / Brézis, H. / Pierre, M. Burckel, R.B. Gohberg, I. / Goldberg, S. / (Eds) An Introduction to Classical Kaashoek, M.A. Nonlinear Evolution Equations Complex Analysis Basic Classes of Linear Operators and Related Topics Volume 1 2003. XVII, 423 p. Softcover Dedicated to Philippe Bénilan 1979. 570 p. Hardcover € 78.– / CHF 128.– 2004. XII, 807 p. Softcover € 30.– / CHF 48.– ISBN 3-7643-6930-2 € 75.– / CHF 124.– ISBN 3-7643-0989-X Textbook ISBN 3-7643-7107-2 Cohn, D.L. Golubitsky, M. / Stewart, I. Bartušek, M. / Došlá, Z. / Graef, J.R. Measure Theory (1980) The Symmetry Perspective The Nonlinear Limit-Point/Limit- 1980. 388 p. Softcover From Equilibrium to Chaos in Phase Circle Problem € 42.– / CHF 68.– Space and Physical Space 2004. XII, 164 p. Softcover ISBN 0-8176-3003-1 1st ed. 2002. Corr. 2nd printing € 78.– / CHF 120.– 2003. XVII, 325 p. Softcover ISBN 0-8176-3562-9 Edwards, H.M. € 42.– / CHF 68.– Advanced Calculus ISBN 3-7643-2171-7 Bohner, M. / Peterson, A. A Differential Forms Approach Textbook Dynamic Equations on Time Scales 1994. 530 p. Hardcover An Introduction with Applications € 48.– / CHF 78.– Guzman, A. 2001. X, 358 p. Hardcover ISBN 0-8176-3707-9 Derivatives and Integrals of € 88.– / CHF 118.– Textbook Multivariable Functions ISBN 0-8176-4225-0 2003. X, 319 p. Softcover Textbook Giaquinta, M. / Modica, G. € 68.– / CHF 98.– Mathematical Analysis ISBN 0-8176-4274-9 Bohner, M. / Peterson, A.C. (Eds) Vol. 1: Functions of One Variable Textbook Advances in Dynamic Equations 2003. XII, 353 p. Hardcover on Time Scales € 118.– / CHF 170.– Guzman, A. 2003. 368 p. Hardcover ISBN 0-8176-4312-5 Continuous Functions of Vector € 98.– / CHF 168.– Textbook Variables ISBN 0-8176-4293-5 2002. X, 207 p. 26 illus. Softcover Textbook Vol. 2: Approximation and Discrete € 58.– / CHF 98.– Processes ISBN 0-8176-4273-0 Böttcher, A. / Grudsky, S.M. 2004. XII, 388 p. Hardcover Textbook Toeplitz Matrices, Asymptotic € 124.– / CHF 210.– Linear Algebra, and Functional ISBN 0-8176-4313-3 Haroske, D. / Runst, T. / Analysis Schmeisser, H.-J. (Eds) 2000. 124 p. Hardcover € 74.– / CHF 116.– Function Spaces, Differential € 31.– / CHF 52.– ISBN 0-8176-4337-0 (Softcover) Operators and Nonlinear Analysis ISBN 3-7643-6290-1 Textbook The Hans Triebel Anniversary Volume Textbook 2003. XII, 474 p. Hardcover Planned (Spring 2007): € 98.– / CHF 158.– Brown, R.F. Vol. 3: Linear and Metric Structures and ISBN 3-7643-6935-3 A Topological Introduction to Continuity Nonlinear Analysis ISBN 0-8176-4374-5 (Hardcover) Karapetiants, N. / Samko, S. 2nd ed. ISBN 0-8176-4375-3 (Softcover) Equations with Involutive 2004. XI, 184 p. Softcover Operators € 45.– / CHF 70.– Gloor, O. / Richard, C. / Wolff, M. 2001. XIII, 427 p. Hardcover ISBN 0-8176-3258-1 Analysis Alive € 148.– / CHF 198.– Textbook Ein interaktiver Mathematik-Kurs ISBN 0-8176-4157-2 1998. Mit CD-ROM. Brosch. € 38.– / CHF 58.– ISBN 3-7643-5966-8 Textbook
62 Krantz, S.G. Melikyan, A. A Handbook of Real Variables Generalized Characteristics of With Applications to Differential First Order PDEs Equations and Fourier Analysis Applications in Optimal Control and 2004. XII, 201 p. Hardcover Differential Games € 48.– / CHF 85.– 1998. 20 illus. Hardcover ISBN 0-8176-4329-X € 158.– / CHF 188.– ISBN 0-8176-3984-5 Krantz, S.G. / Parks, H.R. The Implicit Function Theorem Mikusinski, P. / Taylor, M.D. History, Theory, and Applications An Introduction to Multivariable 2002. XI, 163 p. Hardcover Analysis € 88.– / CHF 118.– from Vector to Manifold ISBN 0-8176-4285-4 2002. X, 295 p. 50 illus. Hardcover € 84.– / CHF 136.– Kubrusly, C.S. ISBN 0-8176-4234-X Elements of Operator Theory 2001. XIII, 527 p. Hardcover Narasimhan, R. / Nievergelt, Y. € 108.– / CHF 148.– Complex Analysis in One Variable ISBN 0-8176-4174-2 2nd ed. Textbook 2001. XIV, 381 p. 17 illus. Hardcover € 84.– / CHF 118.– Kubrusly, C.S. ISBN 0-8176-4164-5 Hilbert Space Operators Textbook A Problem Solving Approach 2003. XIII, 149 p. Softcover Paltanea, R. € 68.– / CHF 98.– Approximation Theory Using ISBN 0-8176-3242-5 Positive Linear Operators Textbook 2004. VIII, 202 p. Softcover € 64.– / CHF 113.– Kythe, P. ISBN 0-8176-4350-8 Fundamental Solutions of Partial Differential Equations and Shivamoggi, B. Applications Perturbation Methods for 1996. 438 p. Hardcover Differential Equations € 105.– / CHF 178.– 2003. XIV, 354 p. 62 illus. Hardcover ISBN 0-8176-3869-5 € 78.– / CHF 128.– ISBN 0-8176-4189-0 Lin, P.-K. Textbook Köthe-Bochner Function Spaces 2004. XIV, 370 p. Hardcover Sohrab, H.H. € 84.– / CHF 142.50 Basic Real Analysis ISBN 0-8176-3521-1 2003. XII, 559 p. Hardcover € 78.– / CHF 108.– ISBN 0-8176-4211-0 Textbook
Stroock, D.W. A Concise Introduction to the Theory of Integration 1998. 262 p. Hardcover € 42.– / CHF 50.– ISBN 0-8176-4073-8 Textbook 63 Systems & Control SC
SC Systems & Control: Foundations & Applications
A series of monographs and McEneaney, W.M., University of Menini, L. / Zaccarian, L. , both advanced graduate texts California at San Diego, La Jolla, CA, University of Rome 'Tor Vergata', Rome, USA Italy / Abdallah, C.T. , University of Edited by Max-Plus Methods for New Mexico, Albuquerque, NM, USA Bas˛ ar, T., Nonlinear Control and (Eds) University of Illinois, Urbana, USA Estimation Current Trends in Nonlinear 2006. XIII, 241 p. 17 illus. Hardcover Systems and Control Systems and Control is designed € 72.– / CHF 112.– In Honor of Petar Kokotovic and for the publication of research level ISBN 0-8176-3534-3 Turi Nicosia monographs and advanced graduate SC textbooks in all areas of systems and 2006. XX, 560 p. 162 illus. Hardcover control theory and its applications to The central focus of this book is the € 98.– / CHF 152.– a wide variety of scientific disciplines. control of continuous-time/continuous- ISBN 0-8176-4383-4 space nonlinear systems. Using new SC techniques that employ the max-plus algebra, the author addresses several Main topics covered include: classes of nonlinear control problems, · State Estimation and Identification including nonlinear optimal control · Control and System Theory problems and nonlinear robust/H- · Robotics infinity control and estimation · Control of Electromechanical Systems problems. Several numerical techniques · Manufacturing Systems are employed, including a max-plus · Networked Control Systems eigenvector approach and an approach that avoids the curse-of-dimensionality. The scope of the work is quite Well-known dynamic programming broad, and although each chapter arguments show there is a direct is self-contained, the book has been relationship between the solution of a organized into thematically related control problem and the solution of a chapters, and in some cases, convenient corresponding Hamilton-Jacobi-Bellman reading sequences are suggested to (HJB) partial differential equation (PDE). the reader. The wide variety of topics The max-plus-based methods examined covered and the tutorial writing style in this monograph belong to an entirely used by many of the contributors will new class of numerical methods for the make this book suitable for experts, as solution of nonlinear control problems well as young researchers who seek a and their associated HJB PDEs; they more intuitive understanding of these are not equivalent to either of the relevant topics in the field. more commonly used finite element or characteristic approaches. The potential advantages of the max-plus-based approaches lie in the fact that solution operators for nonlinear HJB problems are linear over the max-plus algebra, and this linearity is exploited in the construction of algorithms.
64 SC
Abed, E. H. (Ed.) Dragan, V. / Halanay, A. Advances in Control, Stabilization of Linear Systems Communication Networks, and (1999) Transportation Systems € 118.– / CHF 144.– In Honor of Pravin Varaiya (2005) ISBN 0-8176-3970-5 € 68.– / CHF 108.– ISBN 0-8176-4385-0 Kurdila, A.J. / Zabarankin, M. Pavlov, A. , Norwegian University of Convex Functional Analysis (2005) Science and Technology, Trondheim, Abou-Kandil, H. / Freiling, G. / € 78.– / CHF 128.– Norway / Wouw, N. / Ionescu, V. / Jank, G. ISBN 3-7643-2198-9 Nijmeijer, H. , both Eindhoven Matrix Riccati Equations in University of Technology, Eindhoven, Control and Systems Theory (2003) Liberzon, D. The Netherlands € 108.– / CHF 175.– Switching in Systems and Control Uniform Output Regulation ISBN 3-7643-0085-X (2003) € of Nonlinear Systems 108.– / CHF 158.– Allen, J.C. ISBN 0-8176-4297-8 A Convergent Dynamics Approach H-infinity Engineering and Textbook Amplifier Optimization (2004) 2006. IX, 172 p. 38 illus. Hardcover € 88.– / CHF 140.– Peters, M.A. / Iglesias, P. € 48.– / CHF 78.– ISBN 0-8176-3780-X Minimum Entropy Control for ISBN 0-8176-4445-8 Time-Varying Systems (1997) SC Bas¸ ar, T. / Bernhard, P. € 72.– / CHF 127.50 Textbook H-Infinity Optimal Control and ISBN 0-8176-3972-1 Related Minimax Design Problems This book is one of the first systematic A Dynamic Game Approach Srikant, R. studies on the nonlinear output 2nd ed. (1995) The Mathematics of Internet regulation problem that embraces both € 78.– / CHF 126.– Congestion Control (2004) the local and global solvability analysis, ISBN 0-8176-3814-8 € 62.– / CHF 95.– covering such aspects as solvability ISBN 0-8176-3227-1 conditions, controller design, and Bashirov, A.E. practical implementation issues. Partially Observable Linear Vinter, R. The book opens with the development Systems Under Dependent Noises Optimal Control (2000) of the mathematical apparatus of (2003) € 148.– / CHF 168.– convergent systems – very useful for € 88.– / CHF 158.– ISBN 0-8176-4075-4 studying nonlinear control systems – ISBN 3-7643-6999-X laying the foundation for most of the Zabczyk, J. results presented in the work. In an Christofides, P.D. Mathematical Control Theory attempt to bridge the gap between Nonlinear and Robust Control of An Introduction (1992) theory and practice, the authors PDE Systems € 84.– / CHF 142.50 conclude with a presentation of an Methods and Applications to Transport- ISBN 0-8176-3645-5 experimental case study. Reaction Processes (2001) Textbook The scope of questions addressed € 78.– / CHF 132.– in the book, the uniformity of their ISBN 0-8176-4156-4 treatment, the novelty of the proposed approach, and the obtained results Colonius, F. / Kliemann, W. make this volume unique with respect The Dynamics of Control (2000) to other works on the problem of € 158.– / CHF 208.– nonlinear output regulation. ISBN 0-8176-3683-8
Davis, J.H. Foundations of Deterministic and Stochastic Control (2002) € 108.– / CHF 188.– ISBN 0-8176-4257-9 Textbook 65 Systems & Control CE
CE Control Engineering
Series Editor Boukas, E.-K. , École Polytechnique de Silva, G.J. , IBM, Austin, USA / Levine, W.S., University of Maryland, Montréal, Montréal, QC, Canada Datta, A. / Bhattacharyya, S. P., USA Stochastic Switching Systems both Texas A&M University, College Station, USA Analysis and Design Control Engineering publishes PID Controllers for Time- research monographs and advanced 2006. X, 405 p. 7 illus. Hardcover Delay Systems € graduate texts dealing with areas of 78.– / CHF 118.– 2005. XII, 330 p. 137 illus. Hardcover current research in all areas of cont- ISBN 0-8176-3782-6 € 82.– / CHF 130.– rol engineering and its applications. CE ISBN 0-8176-4266-8 CE Stochastic switching systems represent an interesting class of systems that can The Proportional-Integral-Derivative be used to model a variety of systems (PID) controller operates the majority having abrupt random changes in of modern control systems and has their dynamics. Such systems may be applications in many industries; found in the fields of manufacturing, thus any improvement in its design communications, aerospace, power, and methodology has the potential to economics. have a significant engineering and This work presents stochastic switching economic impact. Despite the existence systems and provides up-to-date of numerous methods for setting the methods and techniques for the parameters of PID controllers, the analysis and design of various control stability analysis of time-delay systems systems with or without uncertainties. that use PID controllers remains An introductory chapter highlights basic extremely difficult and unclear, and concepts and practical models, which there are very few existing results on are then used to solve more advanced PID controller synthesis. problems throughout the book. Filling a gap in the literature, this book Included are many numerical examples is a presentation of recent results in as well as LMI analysis methods and the field of PID controllers, including design approaches to supplement the their design, analysis, and synthesis. The developed results. focus is on linear time-invariant plants Stochastic Switching Systems may be that may contain a time-delay in the used as a supplementary textbook for feedback loop-a setting that captures graduate-level engineering courses, or many real-world practical and industrial as a reference for control engineers, situations. Emphasis is placed on the graduate students, and researchers efficient computation of the entire set in systems and control. Prerequisites of PID controllers achieving stability include elementary courses in matrix and various performance specifications, theory, probability, optimization which is important for the development techniques, and control systems theory. of future software design packages, as well as further capabilities such as adaptive PID design and online implementation.
66 CE
Boukas, E.-K. / Liu, Z.-K. Lyshevski, S.E. Deterministic and Stochastic Time- Control Systems Theory with Delay Systems (2002) Engineering Applications (2001) € 82.– / CHF 139.– € 78.– / CHF 132.– ISBN 0-8176-4245-5 ISBN 0-8176-4203-X
Chen, B.M. / Lin, Z. / Shamash, Y. Matveev, A.S. / Savkin, A.V. Hristu-Varsakelis, D. , University of Linear Systems Theory Qualitative Theory of Hybrid Macedonia, Thessaloniki, Greece / A Structural Decomposition Approach Dynamical Systems (2000) Levine, W.S. , University of Maryland, (2004) € 84.– / CHF 142.50 College Park, MD, USA (Eds) € 88.– / CHF 140.– ISBN 0-8176-4141-6 Handbook of Networked and ISBN 0-8176-3779-6 Embedded Control Systems Textbook de Queiroz, M.S. / Dawson, D.M. / Nagarkatti, S.P. / Zhang, F. 2005. X, 822 p. 256 illus. Hardcover Dixon, W.E. / Behal, A. / Lyapunov-Based Control of € 68.– / CHF 108.– Dawson, D.M. / Nagarkatti, S.P. Mechanical Systems (2000) ISBN 0-8176-3239-5 Nonlinear Control of Engineering € 108.– / CHF 148.– CE Systems ISBN 0-8176-4086-X A Lyapunov-Based Approach (2003) The Handbook of Networked and € 118.– / CHF 178.– Savkin, A.V. / Evans, R.J. Embedded Control Systems, the ISBN 0-8176-4265-X Hybrid Dynamical Systems first of its kind, provides engineers, Controller and Sensor Switching computer scientists, mathematicians, Gu, K. / Kharitonov, V.L. / Chen, J. Problems (2002) and students a broad, comprehensive Stability of Time-Delay Systems € 108.– / CHF 178.– source of information and technology (2003) ISBN 0-8176-4224-2 to address many questions and aspects € 108.– / CHF 158.– of embedded and networked control. ISBN 0-8176-4212-9 A carefully organized collection of important results, tools, software, and Hu, T. / Lin, Z. technology, this work unifies into a Control Systems with Actuator single reference many scattered articles, Saturation websites, and specification sheets – Analysis and Design (2001) information that might otherwise be € 168.– / CHF 248.– difficult to find. ISBN 0-8176-4219-6
This is an indispensable text for anyone Kwatny, H.G. / Blankenship, G. interested in knowing more about Nonlinear Control and Analytical embedded and networked control Mechanics systems. Researchers will appreciate the A Computational Approach (2000) handbook’s up-to-date results in the € 108.– / CHF 128.– theory of embedded control; developers ISBN 0-8176-4147-5 and users will value its information on special-purpose computer hardware Liu, D. / Antsaklis, P.J. (Eds) and operating systems modifications Stability and Control of Dynamical that support real-time control; students Systems with Applications will find the systematic organization A Tribute to Anthony N. Michel (2003) and wide coverage useful for learning € 128.– / CHF 188.– and reference. ISBN 0-8176-3233-6
67 Systems & Control
Abonyi, J. Fuzzy Model Identification for Control 2003. 288 p. 132 illus. Hardcover € 72.– / CHF 127.50 ISBN 0-8176-4238-2
Heij, C. , Erasmus University Antsaklis, P.J. / Michel, A.N. , both Allgöwer, F. / Zheng, A. (Eds) Rotterdam, The Netherlands / University of Notre Dame, IN, USA Nonlinear Model Predictive Ran, A.C.M. / van Schagen, F. , both Linear Systems Control Vrije Universiteit Amsterdam, 2000. IX, 472 p. Hardcover The Netherlands 1st ed. 1997. Corr. 2nd printing € 158.– / CHF 250.– 2006. XVIII, 670 p. 85 illus. Hardcover ISBN 3-7643-6297-9 Introduction to Mathematical € 72.– / CHF 112.– Systems Theory PSCT – Progress in Systems and Control ISBN 0-8176-4434-2 Theory, Vol. 26 Linear Systems, Identification and Textbook Control Locatelli, A. Linear systems theory plays a broad Optimal Control 2006. Approx. 200 p. Softcover and fundamental role in electrical, An Introduction € 38.– / CHF 62.– mechanical, chemical and aerospace 2001. VIII, 294 p. Hardcover ISBN 3-7643-7548-5 engineering, communications, € 45.– / CHF 72.– Due in Autumn 2006 and signal processing. A thorough ISBN 3-7643-6408-4 Textbook introduction to systems theory with Textbook emphasis on control is presented in The purpose of this book is to provide this self-contained textbook. The book an introduction to the theory of linear examines the fundamental properties systems and control for students in that govern the behavior of systems business mathematics, econometrics, by developing their mathematical computer science, and engineering. The descriptions. Linear time-invariant, subjects treated are for one the central time-varying, continuous-time, and topics from deterministic linear system discrete-time systems are covered. theory, i.e. controllability, observability, Rigorous development of classic realization theory, stability and and contemporary topics in linear stabilization by feedback, LQ-optimal systems, as well as extensive coverage control theory. Kalman filtering and of stability and polynomial matrix/ LQC-control of stochastic systems are fractional representation, provide also discussed. Finally, attention is paid the necessary foundation for further to modelling, e.g. time series analysis study of systems and control. Linear and model specification, along with Systems is written as a textbook for model validation. All topics in the book a challenging one-semester graduate are supported by exercises requiring course; a solutions manual is available the use of Matlab, which illustrate to instructors upon adoption of the and enhance the main concepts and text. The book’s flexible coverage and techniques in the text. self-contained presentation also make it an excellent reference guide or self- study manual.
68 Probability & Statistics PA
Borodin, A.N. / Salminen, P. PA Handbook of Brownian Motion – Probability and its Facts and Formulae 2nd ed. (2002) Applications € 138.– / CHF 218.– ISBN 3-7643-6705-9
Edited by Jacobsen, M. , University of Chung, K.L. / Williams, R.J. Newman, C., New York University, Copenhagen, Denmark An Introduction to Stochastic USA Point Process Theory and Integration Resnick, S. I., Cornell University, 2nd ed. (1990) Applications € Ithaka, USA 95.– / CHF 124.– Marked Point and Piecewise ISBN 0-8176-3386-3 Deterministic Processes Probability and its Applications pub- Demuth, M. / van Casteren, J.A. lishes researchlevel monographs and 2006. X, 328 p. Hardcover Stochastic Spectral Theory for advanced graduate texts dealing with € 48.– / CHF 78.– Selfadjoint Feller Operators all aspects of probability theory and ISBN 0-8176-4215-3 A functional integration approach stochastic processes, as well as their PA (2000) connections with and applications to Textbook € 148.– / CHF 238.– other areas such as mathematical ISBN 3-7643-5887-4 statistics and statistical physics. This text offers a mathematically rigorous exposition of the basic theory Kwapien, S. / Woyczynski, W.A. of marked point processes developing Random Series and Stochastic randomly over time, and shows how Integrals this theory may be used to treat Single and Multiple piecewise deterministic stochastic 1st ed. 1992. 2nd printing (2002) processes in continuous time. The € 66.– / CHF 117.– point processes are constructed from ISBN 0-8176-4198-X scratch with detailed proofs and their distributions characterized using compensating measures and martingale structures. The second part of the book addresses applications of the just developed theory. This analysis of various models in applied statistics and probability includes examples and exercises in survival analysis, branching processes, ruin probabilities, sports (soccer), finance and risk management (arbitrage and portfolio trading strategies), and queueing theory. Graduate students and researchers interested in probabilistic modeling and its applications will find this text an excellent resource. An explanatory introduction to each chapter highlights those portions that are crucial and those that can be omitted by non- specialists, making the material more accessible to a wider cross-disciplinary audience.
69 Probability & Statistics PP
PP PP 58: Dalang, R. / Dozzi, M. / PP 51: Sidoravicius, V. (Ed.) Russo, F. (Eds) In and Out of Equilibrium Progress in Seminar on Stochastic Analysis, Probability with a Physics Flavor (2002) Random Fields and Applications IV € 148.– / CHF 218.– Probability Centro Stefano Franscini, Ascona, May ISBN 0-8176-4289-7 2002 (2004) € 108.– / CHF 178.– PP 50: Cruzeiro, A.B. / Edited by ISBN 3-7643-7131-5 Zambrini, J.-C. (Eds) Newman, C., New York University, Stochastic Analysis and USA PP 57: Bandt, C. / Mosco, U. / Mathematical Physics (2001) Resnick, S. I., Cornell University, Zähle, M. (Eds) € 138.– / CHF 182.– Ithaka, USA Fractal Geometry and Stochastics ISBN 0-8176-4246-3 III (2004) € Progress in Probability is designed 88.– / CHF 142.– PP 49: Imkeller, P. / Storch, J.-S. (Eds) for the publication of workshops, ISBN 3-7643-7070-X Stochastic Climate Models (2001) € 128.– / CHF 198.– seminars and conference proceedings PP 56: Giné, E. / Houdré, C. / ISBN 3-7643-6520-X on all aspects of probability theory Nualart, D. (Eds) and stochastic processes, as well Stochastic Inequalities and PP 48: Decreusefond, L. / as their connections with and Applications (2003) Oksendal, B. / Üstünel, A.S. (Eds) applications to other areas such as € 148.– / CHF 234.– Stochastic Analysis and Related mathematical statistics and statistical ISBN 3-7643-2197-0 Topics VII physics. Proceedings of the Seventh Silivri PP 55: Hoffmann-Jørgensen, J. / Workshop (2001) Marcus, M.B. / Wellner, J.A. (Eds) € 238.– / CHF 318.– High Dimensional Probability III ISBN 0-8176-4200-5 (2003) € 128.– / CHF 198.– PP 47: Gine, E. / Mason, D.M. / ISBN 3-7643-2187-3 Wellner, J.A. (Eds) High Dimensional Probability II PP 54: Picco, P. / San Martin, J. (Eds) (2000) From Classical to Modern € 208.– / CHF 248.– Probability ISBN 0-8176-4160-2 CIMPA Summer School 2001 (2003) € 88.– / CHF 138.– PP 46: Bandt, C. / Graf, S. / ISBN 3-7643-2169-5 Zähle, M. (Eds) Fractal Geometry and Stochastics PP 53: Capar, U. / Üstünel, A.S. (Eds) II (2000) Stochastic Analysis and Related € 88.– / CHF 138.– Topics VIII ISBN 3-7643-6215-4 Silivri Workshop in Gazimagusa (North Cyprus), September 2000 (2003) PP 45: Dalang, R. / Dozzi, M. / € 92.– / CHF 148.– Russo, F. (Eds) ISBN 3-7643-6998-1 Seminar on Stochastic Analysis, Random Fields and Applications PP 52: Dalang, R.C. / Dozzi, M. / Centro Stefano Franscini, Ascona, Russo, F. (Eds) September 1996 (1999) Seminar on Stochastic Analysis, € 148.– / CHF 238.– Random Fields and Applications III ISBN 3-7643-6106-9 Centro Stefano Franscini, Ascona, September 1999 (2002) € 108.– / CHF 168.– ISBN 3-7643-6721-0
70 SIT
SIT Dodge, Y. (Ed.) Statistical Data Analysis Based on Statistics for the L1-Norm and Related Methods (2002) Industry and € 108.– / CHF 168.– ISBN 3-7643-6920-5
Series Editor Balakrishnan, N. , McMaster Huber-Carol, C. / Balakrishnan, N. / Balakrishnan, N. University, Hamilton, ON, Canada / Nikulin, M. / Mesbah, M. (Eds) McMaster University, Hamilton, Kannan, N. , University of Texas at San Goodness-of-Fit Tests and Model Canada Antonio, TX, USA / Nagaraja, H.N. , Validity (2002) Ohio State University, Columbus, OH, € 138.– / CHF 218.– Editorial Advisory Board USA (Eds) ISBN 0-8176-4209-9 Engelhardt, M., EG&G Idaho, Inc., Advances in Ranking USA and Selection, Multiple Hubert, M. / Pison, G. / Struyf, A. / Van Aelst, S. (Eds) Martz, H. F., Los Alamos National Comparisons, and Reliability Theory and Applications of Recent Laboratory, USA Methodology and Applications Robust Methods (2004) McDonald, G. C., NAO Research & € 108.– / CHF 178.– 2005. XLI, 412 p. 27 illus. Hardcover Development Center, USA ISBN 3-7643-7060-2 Suzuki, K., University of Electro € 98.– / CHF 158.– ISBN 0-8176-3232-8 Communications, Tokyo, Japan Nikulin, M.S. / Balakrishnan, N. / SIT Mesbah, M. / Limnios, N. (Eds) Publications in the series will Parametric and Semiparametric S. Panchapakesan has made significant contain statistical information that Models with Applications to contributions to ranking and selection is accessible to an interdisciplinary Reliability, Survival Analysis, and and has published in many other areas audience: carefully organized Quality of Life (2004) of statistics, including order statistics, authoritative presentations; € 100.– / CHF 169.50 reliability theory, stochastic inequalities, numerous illustrative examples based ISBN 0-8176-3231-X and inference. Written in his honor, the on current practice; reliable methods; twenty invited articles in this volume realistic data sets; and discussions of reflect recent advances in these areas select new emerging methods and and form a tribute to Panchapakesan’s their application potential. influence and impact on these areas.
Thematically organized, the chapters cover a broad range of topics from: · Inference · Ranking and Selection · Multiple Comparisons and Tests · Agreement Assessment · Reliability · Biostatistics
Featuring theory, methods, applications, and extensive bibliographies with special emphasis on recent literature, this comprehensive reference work will serve researchers, practitioners, and graduate students in the statistical and applied mathematics communities.
71 Probability & Statistics
Consul, P.C. , University of Calgary, AB, Good, P.I. Sahai , H. , Universidad del Caribe, Canada / Famoye, F. , Central Michigan Resampling Methods Bayamon, PR, USA / Ojeda, M.M. , University, Mount Pleasant, MI, USA University of Veracruz, Mexico A Practical Guide to Data Analysis Lagrangian Probability Analysis of Variance for Distributions 3rd ed. Random Models 2006. XX, 352 p. 9 tables Hardcover 2005. XVI, 218 p. 40 illus. Hardcover Volume 1: Balanced Data € € 68.– / CHF 105.– 58.– / CHF 90.– Theory, Methods, Applications, and Data ISBN 0-8176-4365-6 ISBN 0-8176-4386-9 Analysis Textbook Textbook 2004. XXVIII, 484 p. 9 illus. Hardcover € 98.– / CHF 152.– Lagrangian expansions can be used This thoroughly revised and expanded ISBN 0-8176-3230-1 to obtain numerous useful probability third edition is a practical guide to models, which have been applied data analysis using the bootstrap, Volume 2: Unbalanced Data to real life situations including, but cross-validation, and permutation tests. Theory, Methods, Applications, and Data not limited to: branching processes, Only requiring minimal mathematics Analysis queuing processes, stochastic beyond algebra, the book provides a 2005. XXV, 480 p. 14 illus. Hardcover processes, environmental toxicology, table-free introduction to data analysis € 98.– / CHF 152.– diffusion of information, ecology, utilizing numerous exercises, practical ISBN 0-8176-3229-8 strikes in industries, sales of new data sets, and freely available statistical Textbook products, and production targets for shareware. optimum profits. This book presents a With its accessible style and intuitive ANOVA models involving random comprehensive, systematic treatment topic development, the book is an effects have found widespread of the class of Lagrangian probability excellent basic resource for the power, application to experimental design distributions, along with some of its simplicity, and versatility of resampling in varied fields such as biology, families, their properties, and important methods. It is an essential resource for econometrics, and engineering. applications. statisticians, biostatisticians, statistical Volume I of this two-part work is a It may be used as a reference text or in consultants, students, and research comprehensive presentation of methods courses and seminars on Distribution professionals in the biological, physical, and techniques for point estimation, Theory and Lagrangian Distributions. and social sciences, engineering, and interval estimation, and hypotheses Applied scientists and researchers in technology. tests for linear models involving environmental statistics, reliability, sales random effects. Volume I examines management, epidemiology, operations models with balanced data (orthogonal research, optimization in manufacturing models); Volume II studies models and marketing, and infectious disease with unbalanced data (non-orthogonal control will benefit immensely from the models). various applications in the book. Accessible to readers with a modest mathematical and statistical background, the work will appeal to a broad audience of graduate students, researchers, and practitioners. It can be used as a graduate text or as a self- study reference.
72 Adler, R. / Feldman, R. / Falk, M. / Hüsler, J. / Reiss, R.-D. Meester, R. Taqqu, M. (Eds) Laws of Small Numbers A Natural Introduction to A Practical Guide to Heavytails Extremes and Rare Events Probability Theory Statistical Techniques for Analyzing 2nd ed. 2003. XI, 191 p. Softcover Heavy-Tailed Distributions 2004. XIII, 376 p. Softcover € 24.– / CHF 38.– 1998. 156 illus. Hardcover € 38.– / CHF 68.– ISBN 3-7643-2188-1 € 78.– / CHF 132.– ISBN 3-7643-2416-3 Textbook ISBN 0-8176-3951-9 Textbook Ogden, T. Barndorff-Nielsen, O.E. / Falk, M. / Marohn, F. / Tewes, B. Essential Wavelets for Data Mikosch, T. / Resnick, S.I. (Eds) Foundations of Statistical Analysis (1996) Levy Processes Analyses and Applications with 1996. 224 p. Hardcover Theory and Applications SAS € 51.– / CHF 86.– 2001. X, 415 p. 32 illus. Hardcover 2002. X, 402 p. Softcover ISBN 0-8176-3864-4 € 82.– / CHF 139.– € 54.– / CHF 84.– ISBN 0-8176-4167-X ISBN 3-7643-6893-4 Resnick, S.I. Textbook Adventures in Stochastic Chen, J. / Gupta, A.K. Processes Parametric Statistical Change Grigoriu, M. 1992. 640 p. Hardcover Point Analysis Stochastic Calculus € 78.– / CHF 118.– 2000. VIII, 184 p. Hardcover Applications in Science and Engineering ISBN 0-8176-3591-2 € 98.– / CHF 118.– 2003. XII, 774 p. 177 illus. Hardcover ISBN 0-8176-4169-6 € 108.– / CHF 188.– Resnick, S. ISBN 0-8176-4242-0 A Probability Path von Collani, E. / Dräger, K. Textbook 1st ed. 1998. 3rd printing Binomial Distribution Handbook 2003. 230 p. 10 illus. Hardcover for Scientists and Engineers Kallianpur, G. / Karandikar, R.L. € 52.– / CHF 78.– 2001. XVIII, 357 p., 3 illus. Hardcover Introduction to Option Pricing ISBN 0-8176-4055-X € 78.– / CHF 128.– Theory Textbook ISBN 0-8176-4129-7 2000. X, 269 pp. Hardcover € 68.– / CHF 120.50 Riedwyl, H. Dehling, H. / Mikosch, T. / ISBN 0-8176-4108-4 Lineare Regression und Sörensen, M. (Eds) Verwandtes Empirical Process Techniques for Koch Medina, P. / Merino, S. Beispiele mit Lösungsvorschlägen Dependent Data Mathematical Finance and 1997. 146 S. Brosch. 2002. 400 p. 2 illus. Hardcover Probability € 22.24 / CHF 34.– € 72.– / CHF 127.50 2003. VIII, 328 p. Softcover ISBN 3-7643-5495-X ISBN 0-8176-4201-3 € 45.– / CHF 72.– ISBN 3-7643-6921-3 Schinazi, R.B. Doukhan, P. / Oppenheim, G. / Textbook Probability with Statistical Taqqu, M.S. (Eds) Applications Theory and Applications of Long- Kotz, S. / Kozubowski, T. / 2001. XIII, 218 p., 25 illus. Softcover Range Dependence Podgorski, K. € 64.– / CHF 85.– 2003. 736 p. 72 illus. Hardcover The Laplace Distribution and ISBN 0-8176-4247-1 € 82.– / CHF 139.– Generalizations ISBN 0-8176-4168-8 A Revisit with Applications to Vollert, A. Textbook Communications, Economics, A Stochastic Control Framework Engineering, and Finance for Real Options in Strategic 2001. XVIII, 349 p., 37 illus. Hardcover Valuation € 128.– / CHF 178.– 2003. 288 p. 77 illus. Hardcover ISBN 0-8176-4166-1 € 78.– / CHF 132.– Textbook ISBN 0-8176-4258-7
73 Mathematical Physics PMP
PMP Progress in Mathematical Physics
Editors-in-Chief: Damour, T., IHÉS, Bures-sur-Yvette, Marchenko, V.A. / Khruslov, E.Y. , A. Boutet de Monvel, Université France / Darrigol, O. , Université Denis both B.Verkin Institute for Low Paris VII Denis, Diderot, France Diderot, Paris, France / Duplantier, B. , Temperature Physics and Engineering, G. Kaiser, Center for Signals and CEA - Saclay, Gif-sur-Yvette, France / Kharkov, Ukraine Waves, Austin, USA Rivasseau, V. , Université Paris XI, Homogenization of Partial Orsay, France (Eds) Differential Equations Editorial Board: Einstein, 1905-2005 2006. XII, 398 p. 28 illus. Hardcover Sir M. Berry, University of Bristol, Poincaré Seminar 2005 € 108.– / CHF 168.– UK ISBN 0-8176-4351-6 C. Berenstein, University of 2006. VIII, 293 p. 48 illus. Hardcover PMP – Vol. 46 Maryland, College Park, USA € 78.– / CHF 128.– P. Blanchard, University of Bielefeld, ISBN 3-7643-7435-7 Homogenization is a method for Germany PMP – Vol. 47 modeling processes in microinhomo- A.S. Fokas, University of Cambridge, geneous media, which are encountered UK This volume is devoted to Einstein's in radiophysics, filtration theory, D. Sternheimer, Université de 1905 papers and their legacy. rheology, elasticity theory, and other Bourgogne, Dijon, France After a presentation of Einstein's domains of mechanics, physics, epistemological approach to physics, C. Tracy, University of California, and technology. These processes and the genesis of special relativity, Davis, USA are described by PDEs with rapidly a centenary perspective is offered. oscillating coefficients or boundary The geometry of relativistic spacetime Progress in Mathematical Physics is a value problems in domains with is explained in detail. Single photon complex microstructure. From the book series encompassing all areas experiments are presented, as a technical point of view, given the of theoretical and mathematical spectacular realization of Einstein's complexity of these processes, the physics. It is intended for light quanta hypothesis. A previously best techniques to solve a wide variety mathematicians, physicists, and unpublished lecture by Einstein, which of problems involve constructing other scientists, as well as graduate presents an illuminating point of appropriate macroscopic (homogenized) students in the above related areas. view on statistical physics in 1910, at models. This distinguished collection of books the dawn of quantum mechanics, is The present monograph is a includes authored monographs and reproduced. The volume ends with an comprehensive study of homogenized textbooks, the latter primarily at the essay on the historical, physical and problems, based on the asymptotic senior undergraduate and graduate mathematical aspects of Brownian analysis of boundary value problems levels. Edited collections of articles motion. as the characteristic scales of the on important research developments microstructure decrease to zero. The or expositions of particular subject work focuses on the construction of areas may also be included. nonstandard models: non-local models, multicomponent models, and models with memory. Along with complete proofs of all main results, numerous examples of typical structures of microinhomogeneous media with their corresponding homogenized models are provided.
74 PMP
Douçot, B. CNRS and Universités Paris Demuth, M. , Technische Universität Bermúdez de Castro, A. , University VI/VII, France / Duplantier, B. / Clausthal, Clausthal-Zellerfeld, of Santiago de Compostela, Spain Pasquier, V. both CEA-Saclay, Gif- Germany / Krishna, M. , Institute of Continuum Thermomechanics sur-Yvette, France / Rivasseau, V. Mathematical Sciences, Chennai, India Université Paris XI, Orsay, France (Eds) 2005. XII, 209 p. Hardcover Determining Spectra in € 58.– / CHF 98.– The Quantum Hall Effect Quantum Theory ISBN 3-7643-7265-6 Poincaré Seminar 2004 2005. X, 219 p. Hardcover PMP – Vol. 43 € 98.– / CHF 158.– Textbook 2005. 197 p. Hardcover ISBN 0-8176-4366-4 € 68.– / CHF 113.– PMP – Vol. 44 The general goal of this book ISBN 3-7643-7300-8 is to deduce rigorously, from PMP – Vol. 45 The spectral theory of Schrödinger the first principles, the partial operators, in particular those with differential equations governing the The Poincaré Seminar is held twice random potentials, continues to be a thermodynamic processes undergone a year at the Institut Henri Poincaré very active field of research. This work by continuum media under forces and in Paris. The goal of this seminar is focuses on various known criteria in the heat. Solids and fluids are considered in to provide up-to-date information spectral theory of selfadjoint operators a unified framework. Reacting mixtures about general topics of great interest in order to identify the spectrum of fluids are also included for which in physics. Both the theoretical and and its components a la Lebesgue general notions of thermodynamics are experimental results are covered, with decomposition. recalled, such as the Gibbs equilibrium some historical background. Particular This concise unified presentation theory. care is devoted to the pedagogical is aimed at graduate students and Linear approximate models are nature of the presentation. This researchers working in the spectral mathematically obtained by calculating volume is devoted to the quantum theory of Schrödinger operators with the derivatives of the constitutive Hall effect. After a historical and either fixed or random potentials in response functions. They include the general presentation by Nobel prize particular. However, given the large classical models for linear vibrations of winner Klaus von Klitzing, discoverer gap that this book fills in the literature, thermoelastic solids and also for wave of this effect, the volume proceeds it will serve a wider audience of propagation in fluids (dissipative and with reviews on the mathematics mathematical physicists because of its non-dissipative acoustics and internal and physics of both the integer and contribution to works in spectral theory. gravity waves). fractional case. It includes up to date presentations of the tunneling and metrology experiments related to the quantum Hall effect. It will serve the community of physicists and mathematicians at professional or graduate student level.
75 Mathematical Physics PMP
PMP 40: Friedman, Y. Physical Applications of Homogeneous Balls (2004) € 82.– / CHF 128.– ISBN 0-8176-3339-1
PMP 39: Colombo, F. / Sabadini, I. / Iliev, B.Z. , Institute for Nuclear Cercignani, C. , Politecnico di Milano, Sommen, F. / S truppa, D.C. Research and Nuclear Energy, Sofia, Italy Analysis of Dirac Systems and Bulgaria Slow Rarefied Flows Computational Algebra (2004) € 92.– / CHF 148.– Handbook of Normal Frames Theory and Application to Micro- and Coordinates ISBN 0-8176-4255-2 Electro-Mechanical Systems Textbook 2006. Approx. 464 p. Hardcover 2006. XI, 166 p. Hardcover € 98.– / CHF 158.– PMP 38: Dalibard, J. / Duplantier, B. / € 58.– / CHF 98.– ISBN 3-7643-7618-X Rivasseau, V. (Eds) ISBN 3-7643-7534-5 PMP – Vol. 42 Poincaré Seminar 2003 PMP – Vol. 41 Due in Summer 2006 Bose-Einstein Condensation - Entropy (2004) The book presents the mathematical The main subject of the book is an € 98.– / CHF 162.– tools used to deal with problems up-to-date and in-depth survey of ISBN 3-7643-7106-4 the theory of normal frames and related to slow rarefied flows, with particular attention to basic concepts coordinates in differential geometry. € 38.– / CHF 62.– and problems which arise in the study The book can be used as a reference ISBN 3-7643-7116-1 (Softcover) manual, a review of the existing results of micro- and nanomachines. The mathematical theory of slow flows is and an introduction to some new PMP 37: Nikiforov, A.F. / presented in a practically complete ideas and developments. Practically Novikov, V.G. / Uvarov, V.B. fashion and provides a rigorous all existing essential results and Quantum-Statistical Models of Hot justification for the use of the linearized methods concerning normal frames Dense Matter Boltzmann equation, which avoids and coordinates can be found in the Methods for Computation Opacity and costly simulations based on Monte book. Most of the results are presented Equation of State (2005) Carlo methods. The book surveys the in detail with full, in some cases € 138.– / CHF 226.– theorems on validity and existence, new, proofs. All classical results are ISBN 3-7643-2183-0 expanded and generalized in various with particular concern for flows close to equilibria, and discusses recent directions. Theorems of existence, PMP 36: Chruscinski, D. / applications of rarefied lubrication uniqueness and, possibly, holonomicity Jamiolkowski, A . theory to micro-electro-mechanical of the normal frames and coordinates Geometric Phases in Classical and systems (MEMS). It gives a general are proved; mostly, the proofs are Quantum Mechanics (2004) acquaintance of modern developments constructive and some of their parts € 92.– / CHF 148.– of rarefied gas dynamics in various can be used independently for other ISBN 0-8176-4282-X regimes with particular attention to low tasks. Textbook speed microscale gas dynamics. Senior students and graduates in PMP 35: Sommerfeld, A. applied mathematics, aerospace Mathematical Theory of engineering, and mechanical Diffraction (2004) mathematical physics will be provided € 52.– / CHF 92.– with a basis for the study of molecular ISBN 0-8176-3604-8 gas dynamics. The book will also be useful for scientific and technical researchers engaged in the research on gas flow in MEMS.
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PMP 34: Ablamowicz, R. (Ed.) PMP 29: Cordani, B. PMP 22: Cercignani, C. / Clifford Algebras The Kepler Problem Kremer, G.M. Applications to Mathematics, Physics, Group Theoretical Aspects, The Relativistic Boltzmann and Engineering (2004) Regularization and Quantization, Equation € 98.– / CHF 152.– with Application to the Study of Theory and Applications (2002) ISBN 0-8176-3525-4 Perturbations (2003) € 88.– / CHF 142.– € 88.– / CHF 148.– ISBN 3-7643-6693-1 PMP 33: Hehl, F.W. / Obukhov, Y. N. ISBN 3-7643-6902-7 Foundations of Classical PMP 21: Petters, A.O. / Levine, H. / Electrodynamics PMP 28: Obolashvili, E. Wambsganss, J. Charge, Flux, and Metric (2003) Higher Order Partial Differential Singularity Theory and € 94.– / CHF 144.– Equations in Clifford Analysis Gravitational Lensing (2001) ISBN 0-8176-4222-6 Effective Solutions to Problems (2003) € 148.– / CHF 198.– Textbook € 98.– / CHF 138.– ISBN 0-8176-3668-4 ISBN 0-8176-4286-2 PMP 32: Torres del Castillo, G.F. PMP 20: Stollmann, P. 3-D Spinors, Spin-Weighted PMP 27: Williams, F. Caught by Disorder Functions and their Applications Topics in Quantum Mechanics Bound States in Random Media (2001) (2003) (2003) € 98.– / CHF 148.– € 98.– / CHF 148.– € 108.– / CHF 168.– ISBN 0-8176-4210-2 ISBN 0-8176-3249-2 ISBN 0-8176-4311-7 Textbook Textbook
PMP 31: Rakotomanana, L. PMP 26: Blanchard, P. / Bruening, E. A Geometric Approach to Mathematical Methods in Physics Thermomechanics of Dissipating Distributions, Hilbert Space Operators, Continua (2003) and Variational Methods (2003) € 84.– / CHF 142.50 € 108.– / CHF 178.– ISBN 0-8176-4283-8 ISBN 0-8176-4228-5
PMP 30: Duplantier, B. / PMP 25: Klainerman, S. / Nicolo, F. Rivasseau, V. (Eds) The Evolution Problem in General Poincaré Seminar 2002 Relativity (2002) Vacuum Energy, Renormalization € 98.– / CHF 158.– (2003) ISBN 0-8176-4254-4 € 68.– / CHF 108.– ISBN 3-7643-0579-7 PMP 24: Cnops, J. An Introduction to Dirac € 34.– / CHF 54.– Operators on Manifolds (2002) ISBN 3-7643-0527-4 (Softcover) € 54.– / CHF 95.50 ISBN 0-8176-4298-6
PMP 23: Kashiwara, M. / Miwa, T. (Eds) MathPhys Odyssey 2001 Integrable Models and Beyond (2002) € 138.– / CHF 228.– ISBN 0-8176-4260-9
77 Mathematical Physics
Ablamowicz, R. / Parra, J. / Leisi, H.J. Lounesto, P. Klassische Physik Clifford Algebras with Numeric and Band 1: Mechanik Symbolic Computation Applications 1996. 448 S. Brosch. 1996. 340 p. Hardcover € 29.91 / CHF 48.– € 88.– / CHF 138.– ISBN 3-7643-5489-5 ISBN 0-8176-3907-1 Band 2: Elektromagnetismus und Wärme Rand, O. , Technion - Israel Institute of Beletsky, V.V. 1998. 482 S. Brosch. Technology, Haifa, Israel / Essays on the Motion of Celestial € 38.32 / CHF 58.– Rovenski, V.Y., University of Haifa, Bodies ISBN 3-7643-5977-3 Israel 2001. XVIII, 372 p. Hardcover Textbook Analytical Methods in € 198.– / CHF 318.– Anisotropic Elasticity ISBN 3-7643-5866-1 Mallios, A. Modern Differential Geometry in with Symbolic Computational Cushman, R.H. / Bates, L.M. Gauge Theories Tools Global Aspects of Classical Maxwell Fields, Volume I Integrable Systems 2006. XVII, 293 p. Softcover 2005. XVIII, 451 p. Softcover 1997. 456 p. Hardcover € 98.– / CHF 152.– € 78.– / CHF 126.– € 55.– / CHF 86.– ISBN 0-8176-4378-8 ISBN 0-8176-4272-2 ISBN 3-7643-5485-2 See “Geometry / Topology” Textbook Chrusciel, P.T. / Friedrich, H. (Eds) Pikulin, V.P. / Pohozaev, S.I. This comprehensive textbook/reference The Einstein Equations and Equations in Mathematical Physics focuses on the mathematical the Large Scale Behavior of A practical course techniques and solution methodologies Gravitational Fields 2001. VIII, 207 p. Hardcover required to establish the foundations 50 Years of the Cauchy Problem in € 118.– / CHF 188.– of anisotropic elasticity and provides General Relativity ISBN 3-7643-6501-3 the theoretical background for 2004. XI, 481 p. With DVD. Hardcover composite material analysis. Specific € 98.– / CHF 158.– Pfeifer, W. attention is devoted to the potential of ISBN 3-7643-7130-7 The Lie Algebras su(N) modern symbolic computational tools An Introduction to support highly complex analytical Filippov, A.T. 2003. VI, 116 p. Softcover € solutions and their contribution to The Versatile Soliton 38.– / CHF 58.– the rigor, analytical uniformity and 2000. XV, 261 p. 77 illus. Hardcover ISBN 3-7643-2418-X € 58.– / CHF 102.50 Textbook exactness of the derivation. ISBN 0-8176-3635-8 Analytical Methods in Anisotropic Singer, S.F. Elasticity will appeal to a broad IIagolnitzer, D. / Rivasseau, V. / Symmetry in Mechanics audience involved in mathematical Zinn-Justin, J. (Eds) A Gentle, Modern Introduction modeling, all of whom must have good International Conference on 2001. XII, 193 p. 30 illus. Softcover mathematical skills: graduate students Theoretical Physics € 42.– / CHF 64.– and professors in courses on elasticity TH-2002, Paris, July 22-27, 2002 ISBN 0-8176-4145-9 and solid-mechanics labs/seminars, 2004. XXX, 984 p. With CD-ROM. Textbook applied mathematicians and numerical Hardcover analysts, scientists and researchers. € 198.– / CHF 298.– Slaughter, W.S. Engineers involved in aeronautical ISBN 3-7643-2433-3 The Linearized Theory of Elasticity and space, maritime and mechanical 2002. XVI, 543 p. 36 illus. Hardcover design of composite material structures € 108.– / CHF 178.– will find this an excellent hands-on ISBN 0-8176-4117-3 reference text as well. Yaroslavsky, L. / Eden, M. Fundamentals of Digital Optics 1995. 372 p. Hardcover € 108.– / CHF 178.– ISBN 0-8176-3822-9
78 Numerical & Computational Mathematics / Applications ISNM
ISNM International Series of Numerical Mathematics
Edited by Figueiredo, I.N. , University Coimbra, Roubicek, T. , Charles University, Praha, Hoffmann, K.-H. Portugal / Rodrigues, J.F. , University Czech Republic Technische Universität München, of Lissabon, Portugal / Santos, L. , Nonlinear Partial Differential Germany University of Minho, Portugal (Eds) Equations with Applications Mittelmann, H.D. Free Boundary Problems 2005. XVIII, 405 p. Hardcover Arizona State University, Tempe, USA Theory and Applications € 108.– / CHF 178.– ISBN 3-7643-7293-1 International Series of Numerical 2006. Approx. 400 p. Hardcover ISNM – Vol. 153 Mathematics is open to all aspects € 118.– / CHF 198.– Textbook of numerical mathematics. Some ISBN 3-7643-7718-6 of the topics of particular interest ISNM – Vol. 154 This book primarily concerns include free boundary value problems Due in Autumn 2006 quasilinear and semilinear elliptic for differential equations, phase and parabolic partial differential transitions, problems of optimal This book gathers a collection equations, inequalities, and systems. control and optimization, other of refereed articles containing The exposition leads general theory as nonlinear phenomena in analysis, original results reporting the recent fast as possible towards the analysis contributions of the lectures and nonlinear partial differential of concrete equations, which have communications presented at the equations, efficient solution specific applications in continuum Free Boundary Problems Conference methods, bifurcation problems and (thermo-) mechanics of solids and that took place at the University of approximation theory. When possible, fluids, electrically (semi-) conductive Coimbra, Portugal, from June 7 to media, modelling of biological systems, the topic of each volume is discussed 12, 2005 (FBP2005). They deal with or in mechanical engineering. Selected from three different angles, namely the mathematics of a broad class parts are rather an introduction into those of mathematical modeling, of models and problems involving the subject while some others form mathematical analysis, and numerical nonlinear partial differential equations an advanced textbook. The intended case studies. arising in physics, engineering, biology audience is graduate and PhD students and finance. Among the main topics, and researchers in the theory of the talks considered free boundary partial differential equations or in problems in biomedicine, in porous mathematical modelling of media, in thermodynamic modeling, in fluid mechanics, in image processing, in financial mathematics or in computations for inter-scale problems.
79 Numerical & Computational Mathematics / Applications ISNM
ISNM 151: Mache, D.H. / ISNM 144: Reimer, M. Szabados, J. / Bruin, M.G. de (Eds) Multivariate Polynomial Trends and Applications in Approximation (2003) Constructive Approximation (2005) € 98.– / CHF 156.– € 118.– / CHF 188.– ISBN 3-7643-1638-1 ISBN 3-7643-7124-2 ISNM 142: Buhmann, M.D. / Nowak, I. , Berlin, Germany ISNM 150: Rohwer, C. Mache, D. (Eds) Relaxation and Nonlinear Smoothing and Advanced Problems in Decomposition Methods for Multiresolution Analysis (2005) Constructive Approximation € Mixed Integer Nonlinear 78.– / CHF 128.– 3rd International Dortmund Meeting on Programming ISBN 3-7643-7229-X Approximation Theory (IDoMAT) 2001 (2003) 2005. XVI, 213 p. Hardcover ISNM 149: Voigt, A. (Ed.) € 108.– / CHF 168.– € 92.– / CHF 148.– Multiscale Modeling in Epitaxial ISBN 3-7643-6648-6 ISBN 3-7643-7238-9 Growth (2005) ISNM – Vol. 152 € 98.– / CHF 156.– ISNM 136: Steinbach, J. ISBN 3-7643-7208-7 A Variational Inequality Approach This book presents a comprehensive to free Boundary Problems with description of theory, algorithms and ISNM 148: Lagnese, J.E. / Leugering, G. Applications in Mould Filling software for solving nonconvex mixed Domain Decomposition Methods (2002) integer nonlinear programs (MINLP). in Optimal Control of Partial € 118.– / CHF 218.– The main focus is on deterministic Differential Equations (2004) ISBN 3-7643-6582-X global optimization methods, which € 128.– / CHF 208.– play a very important role in integer ISBN 3-7643-2194-6 ISNM 135: Hillermeier, C. linear programming, and are used only Nonlinear Multiobjective recently in MINLP. ISNM 147: Colli, P. / Verdi, C. / Optimization The presented material consists of Visintin, A. (Eds) A Generalized Homotopy Approach two parts. The first part describes Free Boundary Problems (2001) basic optimization tools, such as Theory and Applications (2004) € 78.– / CHF 118.– block-separable reformulations, € 98.– / CHF 158.– ISBN 3-7643-6498-X convex and Lagrangian relaxations, ISBN 3-7643-2193-8 decomposition methods and global ISNM 134: Hoffmann, K.-H. / Tang, Q. optimality criteria. The second part is ISNM 146: Antreich, K. / Bulirsch, R. / Ginzburg-Landau Phase Transition devoted to algorithms. Starting with Gilg, A. / Rentrop, P. (Eds) Theory and Superconductivity a short overview on existing methods, Modeling, Simulation and (2001) deformation, rounding, partitioning and Optimization of Integrated € 148.– / CHF 238.– Lagrangian heuristics, and a branch- Circuits ISBN 3-7643-6486-6 cut-and-price algorithm are presented. Proceedings of a Conference held at The algorithms are implemented as the Mathematisches Forschungsinstitut, ISNM 128: Meyer-Spasche, R. part of an object-oriented library, called Oberwolfach, November 25 - December Pattern Formation in Viscous LaGO. Numerical results on several 1, 2001 (2003) Flows mixed integer nonlinear programs are € 118.– / CHF 186.– The Taylor-Couette Problem and reported to show abilities and limits of ISBN 3-7643-2192-X Rayleigh-Benard Convection (1999) the proposed solution methods. € 88.– / CHF 138.– The book contains many illustrations ISNM 145: Haussmann, W. / ISBN 3-7643-6047-X and an up-to-date bibliography. Jetter, K. / Reimer, M . / Because of the emphasis on practical Stöckler, J. (Eds) methods, as well as the introduction Modern Developments in into the basic theory, it is accessible to Multivariate Approximation a wide audience and can be used both 5th International Conference, Witten- as a research as well as a graduate Bommerholz (Germany), September, text. 2002 (2003) € 98.– / CHF 158.– 80 ISBN 3-7643-2195-4 ANHA
ANHA Applied and Numerical Harmonic Analysis Series Editor-in-Chief Qian, T. / Vai, M.I. , both University of Christensen, O. / Christensen, K.L., Benedetto, J.J., University of Macao / Yuesheng, X. , University of both Technical University of Denmark, Maryland Syracuse (Eds) Lyngby, Denmark Wavelet Analysis and Approximation Theory This Birkhäuser Boston Series Applications From Taylor Polynomials to publishes works in harmonic analysis 2006. Approx. 550 p. Hardcover Wavelets as well as in engineering and Approx. € 128.– / CHF 178.– scientific subjects having a significant ISBN 3-7643-7777-1 Corr. 3rd printing 2006 harmonic analysis component. ANHA XI, 176 p. Softcover € The series includes professional Due in Autumn 2006 28.– / CHF 48.– monographs, advanced textbooks, ISBN 0-8176-3600-5 and cohesive, and carefully edited, This volume reflects the latest ANHA contributed works. Publications developments in the area of wavelet Textbook including significant new algorithms, analysis and its applications. Since the methods and computational tools are corner-stone lecture of Yves Meyer This concisely written book gives an encouraged. All forms of new presented at the ICM 1990 in Kyoto, elementary introduction to a classical area of mathematics – approximation technology, e.g., internet, web, in some extent, wavelet analysis has theory – in a way that naturally leads CD-ROM, will be utilized to present often been said to be mainly an applied to the modern field of wavelets. The material in the most efficient and area. However, a significant percentage exposition, driven by ideas rather useful formats. of contributors now are prominent mathematicians working mainly in than technical details and proofs, theoretical mathematical areas, and demonstrates the dynamic nature of the concept of wavelets continuously mathematics and the influence of stretches across various disciplines of classical disciplines on many areas of mathematics. modern mathematics and applications. Approximation Theory: From Taylor Polynomials to Wavelets will be an excellent textbook or self-study reference for students and instructors in pure and applied mathematics, mathematical physics, and engineering. Readers will find motivation and background material pointing toward advanced literature and research topics in pure and applied harmonic analysis and related areas.
81 Numerical & Computational Mathematics / Applications ANHA
Abbate, A. / DeCusatis, C. / Das, P.K. Christensen, O. Herman, G.T. / Kuba, A. (Eds) Wavelets and Subbands An Introduction to Frames and Discrete Tomography Fundamentals and Applications (2002) Riesz Bases (2003) Foundations, Algorithms, and € 108.– / CHF 178.– € 88.– / CHF 149.– Applications (1999) ISBN 0-8176-4136-X ISBN 0-8176-4295-1 € 148.– / CHF 178.– Textbook Textbook ISBN 0-8176-4101-7
Benedetto, J.J. / Ferreira, P.J.S.G. Cooper, J.M. Hogan, J.A. / Lakey, J.D. (Eds) Introduction to Partial Differential Time-Frequency and Time-Scale Modern Sampling Theory Equations with MATLAB Methods Mathematics and Applications (2001) 1st ed. 1998. Corr. 2nd printing (2000) Adaptive Decompositions, Uncertainty € 148.– / CHF 198.– € 84.– / CHF 118.– Principles, and Sampling (2005) ISBN 0-8176-4023-1 ISBN 0-8176-3967-5 € 78.– / CHF 120.– Textbook ISBN 0-8176-4276-5 Benedetto, J. / Zayed, A. (Eds) Sampling, Wavelets, and Davis, J.H. Prestini, E. Tomography (2004) Methods of Applied Mathematics The Evolution of Applied Harmonic € 95.– / CHF 144.– with a MATLAB Overview (2004) Analysis ISBN 0-8176-4304-4 € 88.– / CHF 136.– Models of the Real World (2004) ISBN 0-8176-4331-1 € 72.– / CHF 112.– Bi, G. / Zeng, Y. Textbook ISBN 0-8176-4125-4 Transforms and Fast Algorithms for Signal Analysis and Debnath, L. Saichev, A.I. / Woyczynski, W.A. Representations (2004) Wavelet Transforms and Time- Distributions in the Physical and € 88.– / CHF 136.– Frequency Signal Analysis (2001) Engineering Sciences ISBN 0-8176-4279-X € 108.– / CHF 178.– Volume 1 (1996) Textbook ISBN 0-8176-4104-1 € 58.– / CHF 98.– ISBN 0-8176-3924-1 Brandolini, L. / Colzani, L. / Debnath, L. (Ed.) Textbook Iosevich, A. / Travaglini, G. (Eds) Wavelets and Signal Processing Fourier Analysis and Convexity (2003) Teolis, A. (2004) € 108.– / CHF 158.– Computational Signal Processing € 72.– / CHF 127.50 ISBN 0-8176-4235-8 with Wavelets (1996) ISBN 0-8176-3263-8 € 118.– / CHF 158.– Feichtinger, H.G. / Strohmer, T. (Eds) ISBN 0-8176-3909-8 Bratteli, O. / Jorgensen, P. Advances in Gabor Analysis (2001) Wavelets Through a Looking Glass € 118.– / CHF 188.– Walnut, D.F. The World of the Spectrum (2002) ISBN 0-8176-4239-0 An Introduction to Wavelet € 86.– / CHF 148.– Analysis ISBN 0-8176-4280-3 Freeden, W. / Michel, V. 1st ed. 1998. Corr. 2nd printing (2003) Textbook Multiscale Potential Theory € 58.– / CHF 92.– With Applications to Geoscience (2004) ISBN 0-8176-3962-4 Calin, O. / Chang, D.-C. € 92.– / CHF 148.– Textbook Geometric Mechanics on ISBN 0-8176-4105-X Riemannian Manifolds Textbook Applications to Partial Differential Equations (2005) Gröchenig, K. € 78.– / CHF 120.– Foundations of Time-Frequency ISBN 0-8176-4354-0 Analysis (2001) Textbook € 118.– / CHF 158.– ISBN 0-8176-4022-3
82 AISDG
AISDG 6: Altmann, E. / Pourtallier, O. AISDG Advances in Dynamic Games and Annals of the Applications (2001) € 188.– / CHF 238.– International Society ISBN 0-8176-4202-1 of Dynamic Games AISDG 5: Filar, J.A. / Gaitsgory, V. / Series Editor Nowak, A.S. / Szajowski, K. , both Mizukami, K. (Eds) Bas˛ ar, T., University of Illinois, Urba- Wroclaw University of Technology, Advances in Dynamic Games and na, USA Poland (Eds) Applications (2000) € Advances in Dynamic Games 198.– / CHF 248.– ISBN 0-8176-4002-9 This series publishes volumes in the Applications to Economics, general area of dynamic games and Finance, Optimization, and its applications. It is an outgrowth Stochastic Control of activities of "The International Society of Dynamic Games", ISDG, 2005. XV, 679 p. 30 illus. Hardcover which was founded in 1990. The € 170.– / CHF 276.– primary goals of ISDG are to promote ISBN 0-8176-4362-1 interactions among researchers inte- AISDG – Vol. 7 rested in the theory and applications of dynamic games. This book focuses on various aspects of The Annals of Dynamic Games Series dynamic game theory, presenting state- will have volumes based on the of-the-art research and serving as a papers presented at its biannual sym- guide to the vitality and growth of the posia, including only those that have field and its applications. The selected chapters, written by experts in their gone through a stringent review pro- respective disciplines, are an outgrowth cess, as well as volumes of invited of presentations originally given at papers dedicated to specific, fast- the 9th International Symposium of developing topics, put together by a Dynamic Games and Applications. guest editor or guest co-editors. Featured throughout are useful tools for researchers and practitioners who use game theory for modeling in many disciplines.
Major topics covered include: · repeated and stochastic games · differential dynamic games · optimal stopping games · applications of dynamic games to economics, finance, and queuing theory · numerical methods and algorithms for solving dynamic games · Parrondo’s games and related topics
83 Numerical & Computational Mathematics / Applications MSSET
MSSET Modeling and Simulation in Science, Engineering and Technology Series Editor: Romano, A. , Università degli Krim, H. , North Carolina State Bellomo, N., Politecnico di Torino, Studi di Napoli "Federico II," Italy / University, Raleigh, NC, USA / Yezzi Italy Lancellotta, R. , Politecnico di Torino, Jr., A., Georgia Institute of Technology, Italy / Marasco, A. , Università degli Atlanta, GA, USA (Eds) Advisory Editorial Board: Studi di Napoli "Federico II," Italy Statistics and Analysis of Avellaneda, M., New York Continuum Mechanics using Shapes University, USA Mathematica® Bathe, K.J., Massachusetts Inst. of 2006. 408 p. 143 illus. Hardcover € Technology, USA Fundamentals, Applications and 68.– / CHF 108.– Degond, P., Université P. Sabatier, Scientific Computing ISBN 0-8176-4376-1 Toulouse 3, France MSSET 2006. XII, 388 p. 66 illus. Textbook Herrero Garcia, M.A., Universidad With CD-ROM. Hardcover Complutense de Madrid, Spain € 68.– / CHF 98.– With contributions from some of the Kliemann, W., Iowa State University, ISBN 0-8176-3240-9 leading experts and pioneers in the USA MSSET field, this self-contained, unified volume Othmer, H.G., University of Textbook is the first comprehensive treatment Minnesota, USA of theory, methods, and algorithms, Preziosi, L., Politecnico di Torino, This book's methodological available in a single resource, without Italy approach familiarizes readers with the typical quagmire of vast information Protopopescu, V., Oak Ridge the mathematical tools required to scattered over a wide body of literature. National Laboratory, USA correctly define and solve problems in Developments are discussed from a Rajagopal, K.R., A&M University, continuum mechanics. The book covers rapidly increasing number of research College Station, USA essential principles and fundamental papers in diverse fields, including the Sone, Y., Kyoto University, Japan applications, and provides a solid basis mathematical and physical sciences, for a deeper study of more challenging engineering, and medicine. The series will publish advanced and specialized problems related to Statistics and Analysis of Shapes will be texbooks, expository monographs, elasticity, fluid mechanics, plasticity, an essential learning kit for statistical problem solving guides, handbooks materials with memory, piezoelectricity, researchers, engineers, scientists, and general references on the ferroelectricity, magneto-fluid medical researchers, and students application of mathematics to mechanics, and state changes. seeking a rapid introduction to the the analysis of systems in applied Continuum Mechanics with field. It may be used as a textbook for sciences and technology. Mathematica® is aimed at advanced a graduate-level special topics course in The goal is to create a bridge undergraduates, graduate students, and statistics and signal/image analysis, or between applied mathematicians, researchers in applied mathematics, for an intensive short course on shape scientists and research engineers mathematical physics, and engineering. analysis and modeling. The state-of-the- utilizing modeling methods, tools It may serve as a course textbook or art techniques presented will also be self-study reference for anyone seeking and techniques for complex problem- useful for experienced researchers and a solid foundation in the field. solving. The general framework practitioners in academia and industry. is one of applied and industrial mathematics. The series aims to provide a general science and engineering readership with the essential, and practical, methodological information on modeling, methods, and guidelines to formulate and solve techncial 84 problems. MSSET
Bellomo, N. / Pulvirenti, M. (Eds) Kiselev, S.P. / Vorozhtsov, E.V. / Modeling in Applied Sciences Fomin, V.M. A Kinetic Theory Approach (2000) Foundations of Fluid Mechanics € 128.– / CHF 158.– with Applications ISBN 0-8176-4102-5 Problem Solving Using Mathematica (1999) Bellomo, N. / Preziosi, L. / € 128.– / CHF 158.– Romano, A. ISBN 0-8176-3995-0 Tirozzi, B. , University of Rome "La Mechanics and Dynamical Systems Textbook Sapienza," Rome, Italy / Puca, S. , with Mathematica (2000) € European Meteorological Satellite Org., 68.– / CHF 120.50 Laporte, E. / Le Tallec, P. Rome, Italy / Pittalis, S. / Bruschi, A. / ISBN 0-8176-4007-X Numerical Methods in Sensitivity Analysis and Shape Optimization Morucci, S. / Ferraro, E. , all Capasso, V. / Bakstein, D. (2002) University of Rome "La Sapienza," An Introduction to Continuous- € 68.– / CHF 120.50 Rome, Italy / Corsini, S. , Agenzia per Time Stochastic Processes ISBN 0-8176-4322-2 la Protezione dell'Ambiente e per i Theory, Models, and Applications to Textbook Servizi Tecnici, Rome, Italy Finance, Biology, and Medicine (2005) € 68.– / CHF 108.– Marasco, A. / Romano, A. Neural Networks and Sea ISBN 0-8176-3234-4 Scientific Computing with Time Series Textbook Mathematica Reconstruction and Extreme-Event Mathematical Problems for Ordinary Capriz, G. / Ghionna, V.N. / Differential Equations (2001) Analysis Giovine, P. € 108.– / CHF 158.– Modeling and Mechanics of ISBN 0-8176-4205-6 2006. X, 179 p. 64 illus. Hardcover Granular and Porous Materials € 72.– / CHF 112.– (2002) Métivier, G., ISBN 0-8176-4347-8 € 118.– / CHF 199.50 Small Viscosity and Boundary Layer MSSET ISBN 0-8176-4241-2 Methods Theory, Stability Analysis, and Increasingly, neural networks are used Capriz, G. / Mariano, P.M. (Eds) Applications (2004) Advances in Multifield Theories for € and implemented in a wide range of 78.– / CHF 120.– Continua with Substructure (2004) ISBN 0-8176-3390-1 fields and have become useful tools € 108.– / CHF 158.– in probabilistic analysis and prediction ISBN 0-8176-4324-9 Sobczyk, K. / Kirkner, D.J. theory. This book – unique in the Stochastic Modeling of literature – studies the application Degond, P. / Pareschi, L. / Microstructures (2001) of neural networks to the analysis Russo, G. (Eds) € 128.– / CHF 178.– of time series of sea data, namely Modeling and Computational ISBN 0-8176-4233-1 Methods for Kinetic Equations significant wave heights and sea levels. Textbook (2004) The particular problem examined as a € 68.– / CHF 120.50 Sone, Y. starting point is the reconstruction of ISBN 0-8176-3254-9 Kinetic Theory and Fluid Dynamics missing data, a general problem that (2002) appears in many cases of data analysis. Deutsch, A. / Dormann, S. € 108.– / CHF 188.– This book, a careful blend of theory Cellular Automaton Modeling of ISBN 0-8176-4284-6 and applications, is an excellent Biological Pattern Formation Characterization, Applications, and Truesdell, C. / Rajagopal, K.R. (Eds) introduction to the use of ANN, Analysis (2005) An Introduction to the Mechanics which may encourage readers € 92.– / CHF 148.– of Fluids (2000) to try analogous approaches in ISBN 0-8176-4281-1 € 108.– / CHF 148.– other important application areas. ISBN 0-8176-4014-2 Researchers, practitioners, and Giovangigli, V. Textbook advanced graduate students in neural Multicomponent Flow Modeling networks, hydraulic and marine (1999) Walter, G.G. / Contreras, M. € 128.– / CHF 158.– Compartmental Modeling with engineering, prediction theory, and ISBN 0-8176-4048-7 Networks (1999) data analysis will benefit from the € 84.– / CHF 142.50 results and novel ideas presented in ISBN 0-8176-4019-3 this useful resource.
85 Numerical & Computational Mathematics / Applications PCS
PCS PCS 22: Shparlinski, I. (Ed.) Cryptographic Applications of Progress in Analytic Number Theory Complexity Lower Bounds and Computer Science Pseudorandomness (2003) € 98.– / CHF 158.– ISBN 3-7643-6654-0 Edited by Cherniavsky, J.C. National Science Foundation, PCS 21: Khoussainov, B. / Nerode, A. Washington, USA Automata Theory and its Applications (2001) In association with € 108.– / CHF 158.– Constable, R. Cornell University, ISBN 0-8176-4207-2 Ithaca, USA Textbook Gallier, J. University of Pennsylvania, PCS 20: Lam, K.Y. / Shparlinski, I. / USA Wang, H. / Xing, C. (Eds) Platek, R. Cornell University, Ithaca, Cryptography and Computational USA Number Theory (2001) Statman, R. Carnegie-Mellon € 128.– / CHF 204.– University, Pittsburgh, ISBN 3-7643-6510-2 USA PCS 19: Pittenger, A.O. Progress in Computer Science and An Introduction to Quantum Applied Logic is a series that focuses Computing Algorithms on scientific work of interest to both 1st ed. 2000. Corr. 2nd printing (2001) logicians and computer scientists. € 64.– / CHF 84.– Thus applications of mathematical ISBN 0-8176-4127-0 logic to computer science as well as Textbook applications of computer science to mathematical logic will be PCS 8: Schöning, U. topics of interest. An additional Logic for Computer Scientists area of interest is the foundations 1st ed. 1989. Corr. 2nd printing (1994) € of computer science. The series 48.– / CHF 85.– (previously known as Progress ISBN 0-8176-3453-3 in Computer Science) publishes research monographs, graduate texts, polished lectures from seminars and lecture series, and proceedings of focused conferences in the above fields of interest.
86 Haubold, B. , University of Applied Braunß, H.-A. / Junek, H. / Storrer, H.H. , Universität Zürich, Sciences Weihenstephan, Freising, Krainer, T. , alle Universität Potsdam, Schweiz Germany / Wiehe, T ., University of Deutschland Einführung in die Cologne, Germany Grundkurs Mathematik in mathematische Behandlung Introduction to den Biowissenschaften der Naturwissenschaften I Computational Biology: 2006. Etwa 250 S. Brosch. 2005 (Nachdruck der 3., überarb. u. An Evolutionary Approach € 20.56 / CHF 33.– erw. Aufl. 1992). 480 S. Brosch. 2006. XIV, 330 p. 170 illus. ISBN 3-7643-7709-7 € 31.78 / CHF 49.50 With CD-ROM. Hardcover Erscheint Summer 2006 ISBN 3-7643-2810-X € 38.50 / CHF 62.– Lehrbuch BS 2 – Birkhäuser Skripten ISBN 3-7643-6700-8 Lehrbuch Textbook Das vorliegende Lehrbuch wendet sich speziell an Studierende Das Skript ist für Studierende der Analysis of molecular sequence data is biowissenschaftlicher Fachrichtungen Naturwissenschaften gedacht, die eine the main subject of this introduction to und trägt den Anforderungen der einführende Mathematikvorlesung computational biology. There are two neuen Bachelor-Studienabschlüsse besuchen. Behandelt werden closely connected aspects to biological Rechnung. Es eignet sich sowohl als Differential- und Integralrechnung sequences: (i) their relative position Referenz als auch als Begleitbuch für von einer und von mehreren Variablen in the space of all other sequences, einen 1-2 semestrigen Kurs. Im Zentrum einschliesslich Differentialgleichungen and (ii) their movement through stehen Funktionen in einer reellen 1. Ordnung und etwas Vektorrechnung. this sequence space in evolutionary Variablen und ihre Anwendungen In einem Anhang sind zudem die time. Accordingly, the first part of the in den Biowissenschaften, wichtigsten Grundlagen aus der book deals with classical methods of insbesondere Fourieranalyse und Mathematik der Gymnasialstufe sequence analysis: pairwise alignment, Differentialgleichungsmodelle. Eine zusammengestellt. Erfahrungsgemäss exact string matching, multiple Vielzahl von Aufgaben dient der kann der Stoff in seinen wesentlichen alignment, and hidden Markov models. Vertiefung und aktiven Aneignung des Teilen in einem Semster bewältigt In the second part evolutionary time Stoffes. werden. Besonderer Wert wird auf takes center stage and phylogenetic die ausführlichen Erläuterung aller reconstruction, the analysis of sequence vorkommender Begriffe und auf ihre variation, and the dynamics of genes in Anwendung in Beispielen gelegt. Das populations are explained in detail. In Schwergewicht liegt dabei primär addition, the book contains a computer auf den praktischen Bedürfnissen program with a graphical user interface der Benutzer von mathematischen that allows the reader to experiment Methoden und weniger auf dem with a number of key concepts theoretischen Hintergrund. Die developed by the authors. vorliegende Neuauflage wurde durch This textbook is intended for students Übungsaufgaben mit Lösungen ergänzt. enrolled in courses in computational biology or bioinformatics as well as for Storrer, H.H. molecular biologists, mathematicians, Einführung in die and computer scientists. mathematische Behandlung der Naturwissenschaften 2 1. Aufl. 1995. 2., korr. Nachdruck (2006) € 26.17 / CHF 42.– ISBN 3-7643-5325-2 BS 8 – Birkhäuser Skripten Lehrbuch 87
Numerical & Computational Mathematics / Applications
Mazzola, G., Universität Zürich, Amirouche, F. , University of Illinois, Muller, J.-M. , CNRS-Laboratoire LIP, Schweiz Chicago, USA Lyon, France Elemente der Fundamentals of Multibody Elementary Functions Musikinformatik Dynamics Algorithms and Implementation 2006. Etwa 256 S. Geb. Theory and Applications € 27.94 / CHF 48.– 2nd ed. ISBN 3-7643-7745-3 2006. XV, 684 p. 216 illus. Hardcover 2006. XXII, 266 p. 36 illus. Hardcover € € Lehrbuch 128.– / CHF 208.– 48.– / CHF 78.– ISBN 0-8176-4236-6 ISBN 0-8176-4372-9 Dieses Lehrbuch stellt eine Einführung Textbook Textbook in die noch junge Disziplin der Musikinformatik dar. Es beginnt Because of its versatility in analyzing a This unique book provides concepts and mit einer Übersicht über die broad range of applications, multibody background necessary to understand gegenwärtige Entwicklung der Musik dynamics has grown in the past two and build algorithms for computing aus der Wechselwirkung zwischen decades to be an important tool for the elementary functions. The author Technologie und Komposition. Darauf designing, prototyping, and simulating presents and structures the algorithms, aufbauend werden Kodierung und complex articulated mechanical and also discusses issues related to Programmierung musikalischer systems. This textbook brings together accurate floating-point implementation. Objekte für Komposition, Analyse diverse concepts and bridges the gap The purpose is not to give "cookbook und Interpretation besprochen, sowie between dynamics and engineering recipes" that allow one to implement Standards und Darstellungsmethoden, applications such as microrobotics, a given function, but rather to provide wie: MIDI, Musik-N, Fourier, FM, virtual reality simulation of interactive the reader with tools necessary to build, Wavelets, Physical Modeling und mechanical systems, nanomechanics, or adapt, algorithms to their specific Denotatoren. Eine vertiefte Diskussion flexible biosystems, crash simulation, computing environment. erfährt dabei der FFT-Algorithmus und and biomechanics. The expanded second edition contains natürlich das Kompressionsverfahren The book puts into perspective the a number of revisions and additions, MP3. importance of modeling in the dynamic which incorporate numerous new Anschließend werden Plattformen simulation and problem solving in the results obtained during the last few für die computergestützte Analyse, above-mentioned fields. Facilitating years. New algorithms invented since Komposition und Interpretation the understanding of rigid- body 1997 – such as Matula’s bipartite vorgestellt, darunter RUBATO, MAX und dynamics, the author presents a method, another table-based method Presto. Darauf folgt eine Einführung compiled overview of particle dynamics due to Ercegovac, Lang, Tisserand, in Methoden der Navigation im and Newton’s second law of motion. and Muller – as well as a new chapter Begriffsraum der Musik. Abschließend A particular strength of the book is its on multiple-precision arithmetic have wird die Perspektive einer verteilten use of matrices to generate kinematic been added. In addition, the section globalen Musikkultur diskutiert, wie coefficients that help formulate the on correct rounding of elementary sie sich etwa durch den iPod, sowie governing equations of motion. functions has been fully reworked, Internet-basierte Musikdistribution, also in the context of new results. -produktion und -komposition Finally, the introductory presentation abzeichnet. of floating-point arithmetic has been expanded, with more emphasis given to the use of the fused multiply- Siehe auch Seite 94. accumulate instruction.
88 Gal, S.G. , University of Oradea, Debnath, L. , University of Texas Pan Losa, G.A. , Institute for Romania American, Edinburg, TX, USA Scientific Interdisciplinary Studies, Global Smoothness Nonlinear Partial Differential Locarno, Switzerland / Merlini, and Shape Preserving Equations for Scientists and D., Centro Ricerche in Fisica e Interpolation by Classical Engineers Matematica, Locarno, Switzerland / Operators Nonnenmacher, T.F. , Universität Ulm, 2nd ed. Germany / Weibel, E.R. , Universität 2005. XIII, 146 p. 20 illus. Hardcover 2005. XXII, 737p. 77illus. Hardcover Bern, Switzerland (Eds) € 68.– / CHF 108.– € 78.– / CHF 128.– Fractals in Biology and ISBN 0-8176-4387-7 ISBN 0-8176-4323-0 Textbook Medicine This monograph examines and develops Volume IV the Global Smoothness Preservation This expanded and revised second 2005. VII, 314 p. Hardcover Property (GSPP) and the Shape edition is a comprehensive and € 98.– / CHF 164.– Preservation Property (SPP) in the systematic treatment of linear and ISBN 3-7643-7172-2 field of interpolation of functions. The nonlinear partial differential equations MBI – Mathematics and Biosciences in study is developed for the univariate and their varied applications. Building Interaction and bivariate cases using well-known upon the successful material of the first classical interpolation operators of book, this edition contains updated This volume is number four in a series Lagrange, Grünwald, Hermite-Fejér and modern examples and applications of proceedings volumes from the Shepard type. One of the first books on from areas of fluid dynamics, gas International Symposia on Fractals the subject, it presents interesting new dynamics, plasma physics, nonlinear in Biology and Medicine in Ascona, results alongwith an excellent survey of dynamics, quantum mechanics, Switzerland. It highlights the potential past research. nonlinear optics, acoustics, and wave that fractal geometry offers for propagation. Methods and properties elucidating and explaining the complex Key features include: of solutions are presented, along with make-up of cells, tissues and biological · potential applications to data fitting, their physical significance, making organisms either in normal, abnormal fluid dynamics, curves and surfaces, the book more useful for a diverse and tumoral conditions. It discusses engineering, and computer-aided readership. present and future applications of geometric design fractal geometry, bringing together · presents recent work featuring many cellular and molecular biology, new interesting results as well as an engineering, mathematics, physics, excellent survey of past research medicine and other disciplines and · many interesting open problems for allowing an interdisciplinary vision. future research presented throughout The book should be of interest the text to researchers and students from · includes 20 very suggestive figures molecular and cell biology, biomedicine, of nine types of Shepard surfaces biomathematics, analytical morphology, concerning their shape preservation immunology and neurology who property are interested in the combination of · generic techniques of the proofs mathematics and life sciences. allow for easy application to obtaining similar results for other interpolation operators
89 Numerical & Computational Mathematics / Applications
Alt, W. / Chaplain, M. / Griebel, M. / Borre, K. Hardy, Y. / Steeb, W.H. Lenz, J. (Eds) Plane Networks and their Classical and Quantum Computing Polymer and Cell Dynamics Applications with C++ and Java Simulations Multiscale Modeling and Numerical 2001. XIII, 170 p. 30 illus., 8 in color. 2001. XXIII, 589 p. Softcover Simulations (2003) Hardcover € 55.– / CHF 88.– € 92.– / CHF 144.– € 98.– / CHF 108.– ISBN 3-7643-6610-9 ISBN 3-7643-6924-8 ISBN 0-8176-4193-9 Textbook MBI – Mathematics and Biosciences in Interaction Constanda, C. / Ahues, M.P. / He, T.-X. Largillier, A.R. (Eds) Dimensionality Reducing Alt, W. / Deutsch, A. / Dunn, G. (Eds) Integral Methods in Science and Expansion of Multivariate Dynamics of Cell and Tissue Engineering Integration Motion (1997) Analytic and Numerical Techniques 2001. IX, 225 p. Hardcover € 98.– / CHF 158.– 2004. 302 p. Hardcover € 108.– / CHF 148.– ISBN 3-7643-5781-9 € 89.– / CHF 136.– ISBN 0-8176-4170-X MBI – Mathematics and Biosciences in ISBN 0-8176-3228-X Interaction Kaiser, G. Debnath, L. A Friendly Guide to Wavelets Antia, H.M. Wavelet Transforms and Their (1999) (6th printing). XVII, 300 p. Numerical Methods for Scientists Applications Hardcover and Engineers 2002. XV, 565 p. 69 illus. Hardcover € 46.– / CHF 78.– 2nd ed. € 108.– / CHF 178.– ISBN 0-8176-3711-7 2002. XXII, 842 p. With CD-ROM. ISBN 0-8176-4204-8 Hardcover Textbook Kesel, A. / Junge, M.M. / € 49.– / CHF 86.– Nachtigall, W. ISBN 3-7643-6715-6 Deutsch, A. / Howard, J. / Einführung in die Grundlagen der Textbook Falcke, M. / Zimmermann, W. (Eds) Statistik für Biowissenschaftler Function and Regulation of (1999) Bachmann, H. / Ammann, W.J. / Cellular Systems (2004) 1999. 272 S. Brosch. Deischl, F. / Eisenmann, J. / € 88.– / CHF 146.– € 35.51 / CHF 58.– Floegl, I. / Hirsch, G.H. / Klein, ISBN 3-7643-6925-6 ISBN 3-7643-5953-6 G.K. / Lande, G.J. / Mahrenholtz, MBI – Mathematics and Biosciences in Textbook O. / Natke, H.G. / Nussbaumer, Interaction H. / Pretlove, A.J. / Rainer, J.H. / Kythe, P. / Puri, P. Saemann, E.-U. / Steinbeisser, L. Dorst, L. / Doran, C. / Lasenby, J. Computational Methods for Linear Vibration Problems in Structures (Eds) Integral Equations Practical Guidelines Applications of Geometric 2002. XVIII, 508 p. 12 illus. Hardcover 1995. XVII, 234 p. Hardcover Algebra in Computer Science and € 92.– / CHF 156.– € 49.– / CHF 78.– Engineering ISBN 0-8176-4192-0 ISBN 3-7643-5148-9 2002. XXIV, 478 p. 98 illus. Hardcover Textbook € 84.– / CHF 142.50 Kythe, P. / Wei, D. ISBN 0-8176-4267-6 An Introduction to Linear and Borgwardt, K.H. Nonlinear Finite Element Analysis Optimierung, Operations Gautschi, W. A Computational Approach Research, Spieltheorie Numerical Analysis 2004. XXII, 445 p. 152 illus. Hardcover Mathematische Grundlagen 1996. 524 p. Hardcover € 95.– / CHF 144.– 2001. 642 S. Brosch. € 97.– / CHF 104.– ISBN 0-8176-4308-7 € 44.39 / CHF 68.– ISBN 0-8176-3895-4 Textbook ISBN 3-7643-6519-6 Textbook Textbook
90 Mohan, P.V. A. Tyrtyshnikov, E.E. Current-Mode VLSI Analog Filters A Brief Introduction to Numerical Design and Applications Analysis 2003. XII, 453 p. Hardcover 1996. 214 p. Hardcover € 138.– / CHF 218.– € 82.– / CHF 104.– ISBN 0-8176-4277-3 ISBN 0-8176-3916-0 Textbook Textbook
Nievergelt, Y. Vujanovic, B.Z. / Atanackovic, T.M. Wavelets Made Easy An Introduction to Modern 1st ed. 1999. Corr. 2nd printing Variational Techniques in 2001. 310 p. 53 illus. Hardcover Mechanics and Engineering € 59.– / CHF 78.– 2004. X, 346 p. Hardcover ISBN 0-8176-4061-4 € 78.– / CHF 120.– Textbook ISBN 0-8176-3399-5 Textbook Pan, V.Y. Structured Matrices and Zemanian, A.H. Polynomials Graphs and Networks Unified Superfast Algorithms Transfinite and Nonstandard 2001. 304 p. 8 illus. Hardcover 2004. XII, 202 p. Softcover € 88.– / CHF 118.–. € 92.– / CHF 138.– ISBN 0-8176-4240-4 ISBN 0-8176-4292-7 Textbook
Rachev, S.T. (Ed.) Handbook of Computational and Numerical Methods in Finance 2004. VI, 435 p. Hardcover € 89.– / CHF 140.– ISBN 0-8176-3219-0
Schiavone, P. / Constanda, C. / Mioduchowski, A. (Eds) Integral Methods in Science and Engineering 2002. XXII, 264 p. 50 illus. Hardcover € 88.– / CHF 149.– ISBN 0-8176-4213-7
Storer, J.A. An Introduction to Data Structures and Algorithms 2002. XVII, 599 p. 186 illus. Hardcover € 84.– / CHF 118.– ISBN 0-8176-4253-6 Textbook
91 Computer Algebra
Berry, J. / Graham, E. / Watkins, A.J.P. Mathematik lernen mit DERIVE 1995. XII, 354 p. Brosch. € 39.25 / CHF 62.– ISBN 3-7643-5193-4
Enns, R.H. , Simon Fraser University, Lynch, S. , Manchester Metropolitan Davis, J.H. Burnaby, Canada University, UK Differential Equations with Maple Computer Algebra Recipes Dynamical Systems An Interactive Approach for Mathematical Physics with Applications Using 2000. XVII, 409 p. 74 illus. With CD- Mathematica® ROM. Hardcover 2005. XIV, 390 p. 106 illus. 2 tabs. With € 84.– / CHF 118.– CD-ROM. Softcover 2007. Approx. 550 p. 350 illus. ISBN 0-8176-4181-5 € 68.– / CHF 108.– Softcover Textbook ISBN 0-8176-3223-9 Approx. € 48.– / CHF 78.– Textbook ISBN 0-8176-4482-2 Enns, R.H. / McGuire, G.C. Textbook Computer Algebra Recipes for Over two hundred novel and innovative Classical Mechanics computer algebra worksheets or Dynamical Systems with Applications 2003. 280 p. 100 illus. Softcover "recipes" will enable readers in Using Mathematica® provides € 75.– / CHF 118.– engineering, physics, and mathematics an introduction to the theory of ISBN 0-8176-4291-9 to easily and rapidly solve and explore dynamical systems with the aid of Textbook most problems they encounter in their the Mathematica computer algebra mathematical physics studies. While package. The book has a very hands-on Enns, R.H. / McGuire, G.C. the aim of this text is to illustrate approach and takes the reader from Nonlinear Physics with applications, a brief synopsis of basic theory to recently published Mathematica for Scientists and the fundamentals for each topic is research material. Emphasized Engineers presented, the topics being organized throughout are numerous applications 2001. XV, 691 p. 282 illus. With CD- to correlate with those found in to biology, chemical kinetics, ROM. Hardcover traditional mathematical physics texts. economics, electronics, epidemiology, € 112.– / CHF 178.– The recipes are presented in the form nonlinear optics, mechanics, population ISBN 0-8176-4223-4 of stories and anecdotes, a pedagogical dynamics, and neural networks. Textbook approach that makes a mathematically Exercises are included at the end of challenging subject easier and more every chapter. Enns, R.H. / McGuire, G.C. fun to learn. Every chapter contains Nonlinear Physics with MAPLE for supplementary recipes and solutions By the same author: Scientists and Engineers on a CD-ROM. This is a self-contained Lynch, S. 2nd ed. and standalone text using MAPLE that Dynamical Systems with 2000. XV, 661 p. 282 illus. Hardcover may be used in the classroom, for self- Applications using MAPLE € 98.– / CHF 148.– study, as a reference, or as a text for an 2000. XIII, 398 p. 200 illus. Softcover ISBN 0-8176-4119-X € online course. 78.– / CHF 124.– Textbook ISBN 0-8176-4150-5 Textbook Glynn, J. Mathematik entdecken mit Lynch, S. DERIVE - von der Algebra bis zur Dynamical Systems with Differentialrechnung Applications using MATLAB® 1995. X, 154 S. Brosch. 2004. XVIII, 462 p. Softcover € 21.50 / CHF 36.– € 48.– / CHF 78.– ISBN 3-7643-5001-6 ISBN 0-8176-4321-4
92 Gomez, C. (Ed.) Engineering and Scientific Computing with Scilab 1999. XXV, 491 pp., over 100 figs., with CD-ROM. Hardcover € 128.– / CHF 158.– ISBN 0-8176-4009-6
Graf, U. Applied Laplace Transforms and z-Transforms for Scientists and Engineers A Computational Approach Using a Mathematica Package 2004. X, 500 p. With CD-ROM. Hardcover € 88.– / CHF 142.– ISBN 3-7643-2427-9 Textbook
Kaufmann, S. Mathematica - Kurz und bündig 1998. 200 S. Brosch. € 28.22 / CHF 44.– ISBN 3-7643-6008-9 Textbook
Kaufmann, S. A Crash Course in Mathematica 1999. 200 p. Softcover € 29.– / CHF 46.– ISBN 3-7643-6127-1 Textbook
Parlar, M. Interactive Operations Research with Maple Methods and Models 2000. XV, 468 p. 37 illus. Hardcover € 84.– / CHF 136.– ISBN 0-8176-4165-3
Stojanovic, S. Computational Financial Mathematics using MATHEMATICA® Optimal Trading in Stocks and Options 2003. XI, 481 p. 250 illus. With CD- ROM. Hardcover € 82.– / CHF 140.– ISBN 0-8176-4197-1
93 General Mathematics
Darvas, G. , Hungarian Academy of Williams, K., Torino, Italy (Ed.) Mazzola, G. , University of Zürich, Sciences, Budapest, Hungary Two Cultures Switzerland Symmetry Essays in Honour of David Speiser The Topos of Music 2006. Approx. 456 p. Softcover Geometric Logic of Concepts, € 48.– / CHF 78.– 2006. 201 p. Hardcover Theory, and Performance € ISBN 3-7643-7554-X 68.– / CHF 108.– Due in Autumn 2006 ISBN 3-7643-7186-2 2002. 1368 p. Hardcover. With CD-ROM Textbook € 120.– / CHF 202.– David Speiser is Professor Emeritus ISBN 3-7643-5731-2 In the recent half century symmetry at the Catholic University of Louvain, (and symmetry breaking) became a where he taught mathematics and The Topos of Music is the upgraded leading principle in physics, and in all physics from 1963 to 1990. His and vastly deepened English extension sciences that deal with the structure work in history of science included of the seminal German Geometrie of matter (like particle physics, high various publications, some of which der Töne. It reflects the dramatic energy physics, structural chemistry, are related to art history. Nephew of progress of mathematical music theory of valences); as well as in mathematician Andreas Speiser, David theory and its operationalization by biochemistry of proteins, in the study Speiser's own wide-ranging interests information technology since the of the genetic code, in brain research have brought him into contact with publication of Geometrie der Töne in (where functional asymmetries have a panorama of disciplines. Editor 1990. The conceptual basis has been been revealed) and their consequences Kim Williams has assembled a group vastly generalized to topos-theoretic in the education/learning process, in of notes where scholars contribute foundations, including a corresponding psychology; and also in developing essays inspired by their contact with thoroughly geometric musical logic. architectural structures, and business Prof. Speiser in honour of his eightieth The theoretical models and results now decision making, to mention only a birthday. Topics range from history include topologies for rhythm, melody, few examples. The book is looking of sciences to history of art, from and harmony, as well as a classification for the common regularities beyond architecture theory to music theory, theory of musical objects that comprises these apparently distant phenomena. from particle physics to the proliferation the topos-theoretic concept framework. It covers most achievements reached of nuclear weapons, to an essay on the Classification also implies techniques in the sciences, to which science-art very nature of interdisciplinary studies. of algebraic moduli theory. The classical mutual influences along symmetry (or models of modulation and counterpoint just its lack) gave a new impetus in the Contributors: have been extended to exotic scales recent decades. Alessio Ageno, Jean-Pierre Antoine, and counterpoint interval dichotomies. Sandro Caparrini, Frans A. Cerulus, Sidney D. Drell, David Ritz Finkelstein, Laszlo Grenacs, Donal Hurley, Giuseppe La Rocca, Siegmund Levarie, Bernd Lindemann, Giulio Maltese, Wolfgang K.H. Panofsky, Orietta Pedemonte, Patricia Radelet-de Grave, Luigi A. Radicati di Brozolo, Michael Vandyck, Piero Villaggio, Kim Williams
94 Grätzer, G. , University of Manitoba, Grätzer, G., University of Manitoba, Vorobiev, N.N. Winnipeg, Canada Winnipeg, Canada Fibonacci Numbers First Steps in LaTeX Math into LaTeX Translated by Mircea Martin 1999. XX, 131 p. Softcover 3rd ed. 2002. 186 p. Softcover € 28.– / CHF 45.– 2000. XXXVIII, 584 p. 80 illus. € 29.– / CHF 45.– ISBN 0-8176-4132-7 Softcover ISBN 3-7643-6135-2 € 42.– / CHF 66.– This book is for the mathematician, ISBN 0-8176-4131-9 Since their discovery hundreds of years physicist, engineer, scientist, or ago, people have been fascinated by technical typist who needs to quickly Math into LaTeX is for the the wondrous properties of Fibonacci learn how to typeset articles containing mathematician, physicist, engineer, numbers. Being of mathematical mathematical formulas. First Steps in scientist, or technical typist who needs significance in their own right, LaTeX will provide a quick introduction to quickly learn how to write and Fibonacci numbers have had an impact to LaTeX, including the American typeset articles and books containing on areas like art and architecture, Mathematical Society's enhancements, mathematical formulas, and requires a and their traces can be found in so that your first article can be typeset thorough reference book on all aspects nature and even the behavior of the in only a few hours. Like the author's of LaTeX and the AMS packages stock market. Starting with the basic more comprehensive text Math into (the enhancements to LaTeX by the properties of Fibonacci numbers, the LaTeX, this concise, first-step handbook American Mathematical Society). present book explores their relevance in contains well-organized material number theory, the theory of continued enriched by practical examples, making fractions, geometry and approximation it an indispensable guide for the novice theory. Rather than giving a complete user. account of the subject, a few chosen examples are treated exhaustively. They not only reveal the bearing of Fibonacci numbers on mathematics, but also provide very readable marvels of mathematical reasoning. This book is the translation of the 6th Russian edition (the first edition appeared in the early fifties and became a standard source of information on the subject).
95 General Mathematics
Andreescu, T. / Enescu, B. Mathematical Olympiad Treasures 2004. VI. 234 p. Softcover € 28.– / CHF 48.– ISBN 0-8176-4305-2 Textbook
Williams, K. (Ed.) Berinde, V. Bovill, C. Nexus Network Journal Exploring, Investigating and Fractal Geometry in Architecture Discovering in Mathematics and Design Founded in 1999, the Nexus Network 1995. 200 p. 167 figs. Hardcover Journal (NNJ) is a peer-reviewed 2004. XIX, 246 p. Softcover € 42.– / CHF 68.– € journal for researchers, professionals 34.– / CHF 58.– ISBN 0-8176-3795-8 and students engaged in the study ISBN 3-7643-7019-X of the application of mathematical Textbook Chatterji, S.D. (Ed.) principles to architectural design. Its Proceedings of the International goal is to present the broadest possible The book presents creative problem Congress of Mathematicians 1994, consideration of all aspects of the solving techniques with particular Volume I and II relationships between architecture emphasis on how to develop and train August 3-11, 1994, Zürich, Switzerland and mathematics, including landscape inventive skills to students. It presents 1995. LXXXIII, 1605 p. (Volume I, architecture and urban design. an array of 24 carefully selected LXXI, 717 p.;olume II, XIII, 888 pp.) themes from elementary mathematics: Hardcover Every journal issue is published and arithmetic, algebra, geometry, analysis € 88.– / CHF 138.– available as a separate book. as well as applied mathematics. The ISBN 3-7643-5153-5 main goal of this book is to offer Vol. 6,2. 2004. 142 p. Softcover a systematic illustration of how Corwin, L. / Gelfand, I.M. / € 38.– / CHF 58.– to organise the natural transition Lepowsky, J. (Eds) ISBN 88-88479-33-3 from the problem solving activity The Gelfand Mathematical towards exploring, investigating, and Seminars, 1990-1992 Vol. 6,1. 2004. 160 p. Softcover discovering new facts and results. The 1993. 280 p. Hardcover € 38.– / CHF 58.– target audience are mainly students, € 30.– / CHF 48.– ISBN 88-88479-10-4 young mathematicians, and teachers. ISBN 0-8176-3689-7
Vol. 7,1. 2005. 172 p. Softcover Davis, P.J. / Hersh, R. / € 38.– / CHF 58.– Marchisotto, E.A. ISBN 88-88479-32-5 The Mathematical Experience, Study Edition Vol. 7,2. 2005. 118 p. Softcover 1995. XXI, 487 p. 172 € 38.– / CHF 58.– € 78.– / CHF 128.– ISBN 88-88479-13-9 ISBN 0-8176-3739-7
Vol. 8,1. 2006. Approx. 144 p. Gelfand, I.M. / Glagoleva, E.G. / Softcover Shnol, E.E. € 38.– / CHF 58.– Functions and Graphs ISBN 3-7643-7747-X 2002 (6th printing). 116 p. Softcover € 25.– / CHF 32.– Vol. 8,2. 2006. Approx. 150 p. ISBN 0-8176-3532-7 Softcover Approx. € 38.– / CHF 58.– ISBN 3-7643-7761-5 Due in Autumn 2006
See the Journals section for more information on the journal. 96 Gelfand, I.M. / Saul, M. Trigonometry 2001. X, 229 p. 185 illus. € 28.– / CHF 38.– ISBN 0-8176-3914-4 Textbook
Gelfand, I.M. / Shen, A. Algebra 2002 (2nd printing). 160 p. Softcover € 22.– / CHF 32.– ISBN 0-8176-3677-3 Textbook
Gelfand, I.M. / Retakh, V.S (Eds) The Gelfand Mathematical Seminars, 1996-1999 2000. XI, 154 p. 15 € 108.– / CHF 148.– ISBN 0-8176-4013-4 Textbook
Gelfand, I.M. / Lepowsky, J. / Smirnov, M.M. (Eds) The Gelfand Mathematics Seminars, 1993 - 1995 2002. 280 p. Softcover € 78.– / CHF 128.– ISBN 0-8176-3816-4
97 Allgemeine Titel in deutscher Sprache
Körner, T.W. (Ed.) Mathematisches Denken Vom Vergnügen am Umgang mit Zahlen 1998. 500 S. Geb. € 35.51 / CHF 58.– ISBN 3-7643-5833-5
Bais, S. , University of Amsterdam, The Abele, A.E. , Universität Erlangen, Polya, G. Netherlands Deutschland / Neunzert, H. , Mathematik und plausibles Die Gleichungen der Physik Universität Kaiserslautern, Deutschland / Schliessen Bd.1 Tobies, R. , TU Braunschweig, Induktion und Analogie in der Meilensteine des Wissens Deutschland Mathematik 3. Aufl. 2005. 96 S. Brosch. Traumjob Mathematik! 1988. 404 S. Geb. € 23.32 / CHF 39.– Berufswege von Frauen und € 82.24 / CHF 134.– ISBN 3-7643-7235-4 Männern in der Mathematik ISBN 3-7643-1986-0 Lehrbuch 2004. IX, 192 S. Brosch. Seit Jahrtausenden versuchen wir, die € 26.17 / CHF 44.– Natur zu verstehen. Wir konnten einige ISBN 3-7643-6749-0 der grossen Mysterien enträtseln indem wir den Makro- und Mikrokosmos Wie gelangten und gelangen Frauen mit immer raffinierteren Werkzeugen und Männer in den mathematischen untersuchen. Nicht nur, dass wir dabei Beruf und warum erreichen noch eine überwältigende Vielfalt an Fakten immer nur wenige Mathematikerinnen gesammelt haben, wir enthüllten sogar Spitzenpositionen? Welche Unter- Grundgesetze, welche die Struktur und schiede und Gemeinsamkeiten Entwicklung der physikalischen Realität hinsichtlich Leistungsniveau, Interessen steuern. Insbesondere lernten wir aus und Berufsabsichten gibt es bei Frauen diesen Beobachtungen, dass die Natur und Männern? Wie steht es mit den sich uns in der Sprache der Mathematik Klischees, die sich um das Thema mitteilt. Die künstlichste aller Sprachen "Frau und Mathematik" ranken? Im wird so zur natürlichsten. Die Gesetze Rahmen eines interdisziplinären, von stellen sich uns als Gleichungen der Volkswagenstiftung geförderten dar, vielleicht der kompakteste und Projekts wurden erstmals historische eindeutigste Ausdruck menschlichen und aktuelle Berufswege in der Wissens. Dieses Buch ist ein Reiseführer Mathematik vergleichend untersucht: zu den Gleichungen, den Meilensteinen repräsentative Stichproben von des Wissens, die entscheidende mehreren Tausend Personen mit Wendepunkte unseres Verständnises Lehramt, Diplom und Promotion. markieren. Das Buch ist wichtig für Abiturientinnen Bais nimmt den Leser auf eine und Abiturienten, Eltern, Lehrende, Reise mit, welche die Schönheit und Berufsberatungsstellen, bildungs- Bedeutung der Gleichungen enthüllt, politische Entscheidungen. Es bringt die die Grundlage unseres Wissens der neue Erkenntnisse zur Geschlechter- physikalischen Welt sind. und Berufslaufbahnforschung sowie für die Mathematikgeschichte.
98 History of Science SNHS
SNHS Science Networks · Historical Studies
Edited by Krömer, R. Knobloch, E., Technische Universität Tool and object Berlin, Germany Scholz, E., Bergische Universität, A History and Philosophy of Gesamthochschule Wuppertal, Category Theory Germany 2006. 460 p. Hardcover € 98.– / CHF 158.– In cooperation with an international ISBN 3-7643-7523-X editorial board SNHS – Vol. 32 Due in Autumn 2006 The publications in this series are limited to the fields of mathematics, Category theory is a general physics, astronomy, and their mathematical theory of structures and applications. of structures of structures. It occupied The publication language is a central position in contemporary preferentially English. The series is mathematics as well as computer primarily designed to publish science. This book describes the history monographs. Annotated sources and of category theory whereby illuminating exceptional biographies might be its symbiotic relationship to algebraic topology, homological algebra, accepted in rare cases. The series algebraic geometry and mathematical is aimed primarily at historians of logic and elaboratively develops the science and libraries; it should also connections with the epistemological appeal to interested specialists, significance. students, and diploma and doctoral candidates. In cooperation with their international editorial board, the editors hope to place a unique publication at the disposal of science historians throughout the world.
99 History of Science SNHS
SNHS 29: Guerraggio, A. / Nastasi, P. Italian Mathematics Between the Two World Wars (2005) € 88.– / CHF 148.– ISBN 3-7643-6555-2
SNHS 27: Dauben, J.W. / Keller, A. Keller, A. Scriba, C.J . (Eds) Expounding the Expounding the Writing the History of Mathematical Seed Mathematical Seed Mathematics - Its Historical Development (2002) A Translation of Bhaskara I on A Translation of Bhaskara I on € 88.– / CHF 138.– the Mathematical Chapter of the the Mathematical Chapter of the ISBN 3-7643-6167-0 Aryabhatiya Aryabhatiya SNHS 26: Israel, G . / Gasca, A.M. Vol. 1: The Translation Vol. 2: The Supplements The Biology of Numbers 2006. LIII, 172 p. 57 illus. Hardcover A Translation of Bhaskara I on The Correspondence of Vito Volterra on € 78.– / CHF 128.– the Mathematical Chapter of the Mathematical Biology (2002) € ISBN 3-7643-7291-5 Aryabhatiya 88.– / CHF 138.– SNHS – Vol. 30 2006. XI, 240 p. 71 illus., 14 tab. ISBN 3-7643-6514-5 Hardcover In the 5th century the Indian € 78.– / CHF 128.– SNHS 25: Siegmund-Schultze, R. mathematician Aryabhata (476-499) ISBN 3-7643-7292-3 Rockefeller and the wrote a small but famous work on SNHS – Vol. 31 Internationalization of astronomy, the Aryabhatiya. This Mathematics Between the Two treatise, written in 118 verses, gives This volume contains explanations for World Wars in its second chapter a summary of each verse commentary translated in Documents and Studies for the Social th Hindu mathematics up to that time. Volume 1. These supplements discuss History of Mathematics in the 20 Two hundred years later, an Indian the linguistic and mathematical Century (2001) € astronomer called Bhaskara glossed this matters exposed by the commentator. 98.– / CHF 158.– mathematial chapter of the Aryabhatiya. Particularly helpful for readers are ISBN 3-7643-6468-8 Subjects treated in Bhaskara’s an appendix on Indian astronomy, commentary range from computing the elaborate glossaries, and an extensive SNHS 24: Jensen, C. volume of an equilateral tetrahedron to bibliography. Controversy and Consensus: the interest on a loaned capital, from Nuclear Beta Decay 1911 - 1934 computations on series to an elaborate 2-volume-set: (2000) € process to solve a Diophantine € 128.– / CHF 208.– 88.– / CHF 138.– equation. ISBN 3-7643-7299-0 ISBN 3-7643-5313-9 This volume contains an introduction SNHS – Vol. 30/31 and the literal translation. SNHS 23: Ferreiros, J. The introduction aims at providing a Labyrinth of Thought general background for the translation A History of Set Theory and Its Role in and is divided in three sections: the Modern Mathematics first locates Bhaskara’s text, the second 1st ed. 1000. 2nd printing (2001) € looks at its mathematical contents and 128.– / CHF 208.– the third section analyzes the relations ISBN 3-7643-5749-5 of the commentary and the treatise. SNHS 22: Marage, P. / Wallenborn, G. (Eds) The Solvay Councils and the Birth of Modern Physics (1998) € 78.– / CHF 118.– ISBN 3-7643-5705-3
100 ES
ES ES 10: Balashov, Y. / Vizgin, V. (Eds) Einstein Studies in Russia (2001) Einstein Studies € 58.– / CHF 102.50 ISBN 0-8176-4263-3 ES 9: Stachel, J. Einstein from 'B' to 'Z' (2002) Published under the sponsorship Kox, A.J., Universiteit van Amsterdam, € 108.– / CHF 178.– of the Center for Einstein Studies, The Netherlands / Eisenstaedt, J. , ISBN 0-8176-4143-2 Boston University, USA Observatoire de Paris, France (Eds) The Universe of General ES 8: Howard, D. / Stachel, J. (Eds) Edited by Relativity Einstein: The Formative Years, Howard, D., University of Kentucky, 1879 - 1909 (2000) 2005. X, 383 p., 17 illus. Hardcover € 64.– / CHF 113.– Lexington, USA, Center for Einstein € 82.– / CHF 138.– ISBN 0-8176-4030-4 Studies, Boston University, USA ISBN 0-8176-4380-X Stachel, J. , Center for Einstein ES – Einstein Studies, Vol. 11 Studies, Boston University, USA This volume from the Einstein Studies Series is based largely on papers Einstein Studies is a multidisciplinary presented at the Sixth International series, reflecting the wide variety of Conference on the History of General Einstein's own contributions to our Relativity, held in Amsterdam on June century. The series emphasizes the 26-29, 2002. These contributions history of twentiethcentury science, from notable experts offer both new but will also welcome works in and historical insights on gravitation, the philosophy of science, as well general relativity, cosmology, unified as social, cultural, and political field theory, and the history of science. history. Original research in physics, Topics discussed include the prehistory of special relativity, early attempts mathematics, and philosophy at a relativistic theory of gravitation, will also be published in cases the beginnings of general relativity, where such research explores the the problem of motion in the context implications of Einstein's work for of relativity, conservation laws, the contemporary issues. axiomatization of relativity, classical and contemporary cosmology, gravitation and electromagnetism, quantum gravity, and relativity as seen through the eyes of the public and renowned relativists.
Contributors: K. Brading; G. Gale; H.F.M. Goenner; J. Goldberg; S. Katzir; D. Kennefick; H. Kragh; C. Lehner; U. Majer; J. Mattingly; E.T. Newman; J.D. Norton; J. Renn; R. Rynasiewicz; J.M. Sánchez- Ron; T. Sauer; C. Smeenk; J. Stachel; M. Wazeck; and D. Wünsch.
101 History of Science VM
VM Vita Mathematica
Edited by E.A. Fellmann, Basel, Lehto, O. , Helsinki University of Petsche, H.-J. , Potsdam Switzerland Technology, Finland Graßmann Erhabene Welten 2006. XXII, 326 p. 47 Abb. Geb. The series Vita Mathematica traces Das Leben Rolf Nevanlinnas € 54.21 / CHF 88.– the professional lives of many of the ISBN 3-7643-7257-5 world‘s great mathematicians – 2007. Approx. 330 p. Geb. VM – Vol. 13 from antiquity to the present day. Approx. € 68.– / CHF 108.– These books are written broadly ISBN 3-7643-7701-1 Hermann Graßmann, Gymnasiallehrer following the same pattern and take VM – Vol. 14 in Stettin und bekannt als Begründer into consideration the research car- Erscheint Frühjahr 2007 der n-dimensionalen Vektoralgebra, ried out on the history of science in erwarb sich auch in der Physik und recent decades. Rolf Herman Nevanlinna (1895- der Sprachforschung bleibende 1980) war eine aussergewöhnliche Verdienste. Gestützt auf die Dialektik und charismatische Persönlichkeit: Schleiermachers entwickelte er in Ein brillianter Mathematiker und seinem Hauptwerk, der Ausdehnungs- umstrittener Politiker mit enormem lehre, mit philosophischer Methode eine Charme. Der Autor des Buches völlig neue mathematische Disziplin. kannte Nevanlinna seit mehr als Zunächst von der Fachwelt abgelehnt, 30 Jahren und so gelang ihm eine wurde sein Werk Jahrzehnte später als ausgewogene Charakterisierung des wegweisend gefeiert. Die Biographie wissenschaftlichen wie politischen geht dem komplexen Geflecht innerer Nevanlinna. und äußerer Einflüsse nach, innerhalb derer Graßmann sein
102 VM
Schönbeck, J., Pädagogische Hochschule Heidelberg Euklid Um 300 v. Chr.
2003. X, 264 S. Geb. € 82.24 / CHF 145.50 ISBN 3-7643-6584-6 VM – Vol. 12
Euklid, der Geometer aus Alexandria, und sein uberwiegend geometrisches literarisches Werk bilden den Mittelpunkt dieses Buches zur Geschichte der Mathematik. Es ist bis heute nicht mit letzter Sicherheit geklart, ob es einen Mathematiker mit dem Namen Euklid wirklich gegeben, wann er gelebt hat und ob die ihm zugeschriebenen Lehrbucher zur Mathematik und zur mathematischen Physik tatsachlich nur von ihm verfasst wurden. Trotz dieser Einschrankungen breitet der Autor das derzeit verfugbare Wissen uber die voreuklidische griechische Mathematik, die Traditionslinien der euklidischen Geometrie und die uber Jahrhunderte andauernde Wirkungsgeschichte der euklidischen Werke umfassend aus. Dabei wird an vielen Stellen deutlich, wie unzureichend unsere Kenntnisse uber die Rezeptionsgeschichte und wie luckenhaft das antike Quellenmaterial auch nach zweitausend Jahren immer noch sind. Das Buch spurt den vielfaltigen historischen und interkulturellen Aspekten und Facetten der Mathematik nach.
103 History of Science CM
CM Ahlfors, Lars V.: Jacobson, N.: Collected Works, 2 Collected Papers 1 ISBN 0-8176-3411-8 Contemporary ISBN 0-8176-3075-9 Mathematicians Jacobson, N.: Collected Works, 3 Ahlfors, Lars V.: ISBN 0-8176-3446-0 Collected Papers 2 John, Fritz / Moser: Collected Papers ISBN 0-8176-3076-7 1 Edited by Ahlfors, Lars V.: ISBN 0-8176-3266-2 Collected Papers 1-2 Joseph P.S. Kung, University of John, Fritz / Moser: Collected Papers ISBN 0-8176-3077-5 North Texas, Denton, USA 2 Beurling, Arne: Collected Works ISBN 0-8176-3267-0 Publishing the collected works ISBN 0-8176-3412-6 John, Fritz / Moser: Collected of outstanding mathematicians Birkhoff, Garrett / Rota: Selected Papers 1-2 remains a vital tradition in scientific Papers on Algebra and Topology ISBN 0-8176-3265-4 publishing. Very often the works of ISBN 0-8176-3114-3 a mathematician are in a scattered Kakutani, S.: Selected Papers 1 state, published in diffuse forms, and Bott, Raoul: Collected Works 1 ISBN 0-8176-3277-8 ISBN 0-8176-3613-7 inaccessible. The bringing together of Kakutani, S.: Selected Papers 2 these works and papers into orga- Bott, Raoul: Collected Papers 2 ISBN 0-8176-3278-6 nized, annotated volumes creates ISBN 0-8176-3646-3 Kakutani, S.: a unique opportunity for historical, Bott, Raoul: Collected Papers 3 Selected Papers 1-2 biographical, and mathematical ISBN 0-8176-3647-1 ISBN 0-8176-3279-4 perspectives to emerge. Present and future generations of mathematicians Bott, Raoul: Collected Papers 4 Levinson, Norman / Nohel: will find these collected works to be ISBN 0-8176-3648-X Selected Papers 1 ISBN 0-8176-3862-8 of lasting significance. Chen, K.T. / Tondeur: Collected Papers of K.T. Chen Levinson, Norman / Nohel: ISBN 0-8176-4005-3 Selected Papers 2 ISBN 0-8176-3979-9 Dilworth / Bogart: The Dilworth Theoremes Levinson, Norman / Nohel: ISBN 0-8176-3434-7 Selected Papers 1-2 ISBN 0-8176-3978-0 Friedrichs, Kurt-Otto / Morawetz: Selecta 1 Lewy, Hans / Kinderlehrer: ISBN 0-8176-3268-9 Selecta, 1 ISBN 0-8176-3523-8 Friedrichs, Kurt-Otto / Morawetz: Selecta 2 Lewy, Hans / Kinderlehrer: ISBN 0-8176-3269-7 Selecta, 2 ISBN 0-8176-3524-6 Friedrichs, Kurt-Otto / Morawetz: Selecta 1-2 Loewner, C. / Bers: Collected Works ISBN 0-8176-3270-0 ISBN 0-8176-3377-4 Jacobson, N.: Collected Works, 1 Lorentz, George G.: Mathematics ISBN 0-8176-3410-X from Leningrad to Austin ISBN 0-8176-3922-5
104 CM
Lorentz, George G.: Selected Papers Tarski, A.: Collected Papers 2 ISBN 0-8176-3710-9 (1935-1944) ISBN 0-8176-3281-6 Motzkin, Theodore S. / Cantor: Selected Papers Tarski, A.: Collected Papers 3 ISBN 0-8176-3087-2 (1945-1957) ISBN 0-8176-3282-4 Nielsen, J.: Collected Papers 1 ISBN 0-8176-3140-2 Tarski, A.: Collected Papers 4 (1958-1979) Nielsen, J.: Collected Papers 2 ISBN 0-8176-3283-2 ISBN 0-8176-3151-8 Tarski, A.: Collected Papers 1-4 Nielsen, J.: Collected Papers 1-2 ISBN 0-8176-3284-0 ISBN 0-8176-3152-6 Whitney, Hassler / Eelles: Post, Emil L. / Davis: Collected Papers 1 Collected Papers ISBN 0-8176-3558-0 ISBN 0-8176-3579-3 Whitney, Hassler / Eelles: Rota, Gian-Carlo / Dhombres: Collected Papers 2 On Analysis and Probability ISBN 0-8176-3559-9 ISBN 0-8176-4275-7 Whitney, Hassler / Eelles: Rota, Gian-Carlo / Kung: Collected Papers 1-2 On Combinatorics ISBN 0-8176-3551-3 ISBN 0-8176-3713-3 Schoenberg, I.J. / Boor: Selected Papers 1 ISBN 0-8176-3404-5 Schoenberg, I.J. / Boor: Selected Papers 2 ISBN 0-8176-3405-3 Szegö, Gabor: Collected Papers 1 (1915-1927) ISBN 0-8176-3056-2 Szegö, Gabor: Collected Papers 2 (1927-1943) ISBN 0-8176-3060-0 Szegö, Gabor: Collected Papers 3 (1945-1972) ISBN 0-8176-3061-9 Szegö, Gabor: Collected Papers 1-3 ISBN 0-8176-3063-5 Tarski, A.: Collected Papers 1 (1921-1934) ISBN 0-8176-3280-8
105 History of Science
Leonhard Euler: Opera Omnia
Edited by the Euler Committee of the Swiss Academy of Science in collaboration with numerous specialists Fellmann, E.A. Heyne, A. / Heyne, A.K. / Pini, E. Leonhard Euler Leonhard Euler Editorial Board of Series I–III: Translated by Erika Gautschi and Walter Ein Mann, mit dem man Im Hof, H.-C. (Chief Editor) / Gautschi rechnen kann Steiner, Th. / Tammann, G.A. 2006. Approx. 160 p. Hardcover Editorial Board of Series IV: ISBN 3-7643-7538-8 2006. Ca. 50 S. Geb. Kleinert, A. (Chief Editor) / Due in Autumn 2006 Ca. € 18.– / CHF 28.– Bodemann, S. / Fellmann, E.A. / ISBN 3-7643-7779-8 Frei, G. / Mattmüller, M. / Euler was not only by far the most Erscheint Herbst 2006 productive mathematician in the Mikhajlov, G.K. / Steiner. Th. history of mankind, but also one In seinem Kopf stellte er die Euler‘s papers and books are of the greatest scholars of all time. mathematische Welt auf den Kopf. Er fundamental to every branch of the Cosmopolitan in the truest sense of the berechnete Flüssigkeitsströmungen, mathematical sciences. The Opera word, he lived during his first twenty das Trägheitsmoment, entwickelte die Omnia edition (Series I, II and III) years in Basel, was active altogether Variationsrechnung und die moderne is limited, for the most part, to for more than thirty years in Petersburg Zahlentheorie. Als Wissenschaftler steht republication of works that Euler and for a quarter of a century in Berlin; er auf einer Stufe mit Newton und himself prepared for press. The texts are he attained, like only a few scholars, a Einstein. reprinted in the original language, most degree of popularity and fame which Dabei war er ein Mensch, der frequently French or Latin. may well be compared with that of bürgerliche Behaglichkeit und Ruhe Series IVA contains Euler's extensive Galilei, Newton, or Einstein. liebte. Nicht einfach zur Gründungszeit scientific correspondence. von St. Petersburg inmitten russischer By the same author: Kaisermorde oder in Berlin zur Zeit Fellmann, E.A. (Ed.) der schlesischen Kriege. Und erst Series prima Leonhard Euler 1707-1783 recht nicht inmitten einer grossen Opera mathematica (29 vols) Beiträge zu Leben und Werk Kinderschar. 1983. 556 S. Geb. Der Comic von Elena Pini (Grafik) und Series secunda € 63.55 / CHF 106.– Alice und Andreas K. Heyne (Text) ISBN 3-7643-1343-9 zeichnet das Leben dieses grossen Opera mechanica et astronomica Schweizer Gelehrten nach, der vor 300 (31 vols) Jahren in Basel geboren wurde, mit 20 Jahren seine Heimatstadt verliess – Series tertia und nie wieder zurückkehrte. Opera physica, Miscellanea (12 vols) Leonhard Euler Series quarta A (Basel 1707 – Commercium epistolicum (10 vols) St. Petersburg 1783) Series quarta B Don’t miss his Manuscripta (planned) Tercentenary 2007! www.birkhauser.ch, www.euler-2007.ch History of Science
106 Becchi, A. / Corradi, M. / Foce, F. / Pedemonte, O. (Eds) Essays on the History of Mechanics In Memory of Clifford Ambrose Truesdell and Edoardo Benvenuto 2003. 256 p. Hardcover Steffens, K.-G. , Kreuzau, Germany Hunziker, H. , Alte Kantonsschule € 42.– / CHF 68.– The History of Approximation Aarau, Schweiz (Ed.) ISBN 3-7643-1476-1 Theory Der jugendliche Einstein und Aarau Booss-Bavnbek, B. / Høyrup, J. (Eds) From Euler to Bernstein Mathematics and War Einsteins letztes Schuljahr – 2003. VIII, 416 p. Softcover 2006. XIX, 219 p. 22 illus. Softcover Relativität, Brownsche Bewegung, € 39.– / CHF 60.– € 68.– / CHF 98.– Lichtquanten und Astrophysik ISBN 3-7643-1634-9 ISBN 0-8176-4353-2 2005. IX, 205 S. Brosch. Corry, L. The problem of approximating a € 22.43 / CHF 35.– Modern Algebra and the Rise of given quantity is one of the oldest ISBN 3-7643-7444-6 Mathematical Structures challenges faced by mathematicians. Its 2nd revised ed. increasing importance in contemporary Es darf als gesichert gelten, dass 2004. 451 p. Softcover mathematics has created an entirely Einstein bereits 1895-1896, während er € 65.– / CHF 98.– new area known as Approximation sich an der Aargauischen Kantonsschule ISBN 3-7643-7002-5 Theory. This work traces the history of auf die Maturitätsprüfung vorbereitete, approximation theory from Leonhard erste Ideen zur Relativitätstheorie Davis, P.J. Euler‘s cartographic investigations at entwickelte. Die Publikation befasst Mathematical Encounters of the the end of the 18th century to the sich eingehend mit der Aarauer Zeit des Second Kind early 20th century contributions of später zu Weltruhm gelangten Physikers 1996. 312 p. Hardcover Sergei Bernstein in defining a new und bespricht die grundlegenden Ideen € 26.– / CHF 42.– branch of function theory. One of seiner Arbeiten von 1905, die diesen ISBN 0-8176-3939-X the key strengths of this book is the Weltruhm begründeten. narrative itself. The author combines a Gray, J.J. mathematical analysis of the subject Aus dem Inhalt: Linear Differential Equations and with an engaging discussion of the · Kommentierte Originalabdrucke Group Theory from Riemann to differing philosophical underpinnings dreier vom siebzehnjährigen Einstein Poincaré in approach as demonstrated by verfasster Maturitätsprüfungsarbeiten 2nd ed. the various mathematicians. This · Spezielle Relativitätstheorie: 1996. XX, 338 p. 36 illus. Hardcover exciting exposition integrates history, Eine Übung im Überwinden von € 118.– / CHF 158.– philosophy, and mathematics. Denkgewohnheiten ISBN 0-8176-3837-7 Appendices containing biographical · Über die Herkunft der Speziellen data on numerous eminent Relativitätstheorie Kac, M. / Rota, G.C. / Schwartz, J. mathematicians, explanations of · Einsteins Analyse der Brownschen Discrete Thoughts Russian nomenclature and academic Bewegung 2nd ed. degrees, and an excellent index round · Einstein und die Begründung der 1992. 284 p. Softcover out the presentation. Quantentheorie € 54.– / CHF 95.50 · Relativitätstheorie und der Friedhof ISBN 0-8176-3636-6 der Sterne Kaluza, R. Beitragsautoren: Through a Reporter's Eyes Domenico Giulini, Herbert Hunziker, The Life of Stefan Banach Walter Pfeifer, Heinrich Staehelin, 2005. X, 138 p. Softcover Norbert Straumann € 48.– / CHF 75.– ISBN 0-8176-4371-0
107 History of Science
Kolmogorov, A.N. / Nickelsen, K. / Hool, A. / Rife, P. Yushkevich, A.P. (Eds) Grasshoff, G. Lise Meitner and the Dawn of the Mathematics of the 19th Century Theodore von Karman Nuclear Age Vol. I: Mathematical Logic - Algebra - Flugzeuge für die Welt und eine 1999. XVII, 432 p. Hardcover Number Theory - Probability Theory Stiftung für Bern € 75.– / CHF 88.– 2nd rev. ed. 2004. 259 S. Geb. ISBN 0-8176-3732-X 2001. XIV, 308 p. Softcover € 63.55 / CHF 98.– € 38.– / CHF 58.– ISBN 3-7643-7135-8 Schwartz, L. ISBN 3-7643-6442-4 A Mathematician Grappling with Ostrowski, A. His Century Kolmogorov, A.N. / Collected Mathematical Papers 2001. VIII, 490 p. Softcover Yushkevich, A.-A.P. (Eds) Vol. 3: VI. Number Theory. VII. € 38.– / CHF 58.– Mathematics of the 19th Century Geometry. VIII. Topology. IX. ISBN 3-7643-6052-6 Vol. II: Geometry, Analytic Function Convergence (1984) Theory € 78.– / CHF 118.– Weil, A. 1996. 302 p. 36 figs. Hardcover ISBN 3-7643-1508-3 The Apprenticeship of a € 78.– / CHF 124.– Mathematician ISBN 3-7643-5048-2 Ostrowski, A. 1992. 198 p. Hardcover Collected Mathematical Papers € 42.– / CHF 68.– Lefèvre, W. / Renn, J. / Vol. 4: X. Real Function. XI. ISBN 3-7643-2650-6 Schoepflin, U. Differential Equation. XII. The Power of Images in Early Differentia (1984) Wußing, H. Modern Sciences € 88.– / CHF 148.– Die Große Erneuerung 2003. IX, 308 p. Softcover ISBN 3-7643-1509-1 Zur Geschichte der Wissenschaftlichen € 118.– / CHF 184.– Revolution ISBN 3-7643-2434-1 Ostrowski, A. 2002. IX, 223 S. 53 Abb. Geb. Collected Mathematical Papers € 44.86 / CHF 83.– Lucertini, M. / Millàn Gasca, A. / Vol. 1: I. Determinants. II. Linear ISBN 3-7643-6698-2 Nicolò, F. (Eds) Algebra. III. Algebraic Equations Technological Concepts and (1983) Mathematical Models in the € 128.– / CHF 218.– Evolution of Modern Engineering ISBN 3-7643-1506-7 Systems Controlling, Managing, Organizing Ostrowski, A. 2004. XVII, 246 p. Hardcover Collected Mathematical Papers € 52.– / CHF 78.– Vol. 6: XIV. Conformal Mappings. ISBN 3-7643-6940-X XV. Numerical Analysis. XVI. Miscellany (1985) Menzler-Trott, E. € 108.– / CHF 168.– Gentzens Problem ISBN 3-7643-1511-3 Mathematische Logik im nationalsozialistischen Deutschland Ostrowski, A. 2001. XVIII, 411 S. Geb. Collected Mathematical Papers € 40.19 / CHF 65.– Vol. 2: IV. Multivariate Algebra. V. ISBN 3-7643-6574-9 Formal Algebra. (1983) € 88.– / CHF 138.– Neuenschwander, E. (Ed.) ISBN 3-7643-1507-5 Wissenschaft zwischen Qualitas und Quantitas Pier, J.-P. (Ed.) 2003. IX, 444 S. Geb. Development of Mathematics, € 78.50 / CHF 128.– 1950-2000 ISBN 3-7643-5383-X 2000. X, 1372 p. Hardcover € 218.– / CHF 346.– ISBN 3-7643-6280-4 108 The Collected Die Werke von Jacob Der Briefwechsel von Scientific Papers of Bernoulli Johann I Bernoulli Ed. by Fleckenstein, O. / Speiser, D. Ed. by Spiess, O. / Speiser, D. the Mathematicians Vol. 1: Spiess, O. (Ed.) and Physicists of the Vol. 1: Der Briefwechsel mit Jacob Bernoulli Family Astronomie, Philosophia naturalis Bernoulli, dem Marquis de (New edition in preparation) l‘Hôpital u.a. (1955) Edited by Vol. 2: Roero, C.S. / Viola, T. (Ed.) Vol. 2: Costabel, P. / Peiffer, J. (Eds) Radelet-de Grave, P., on behalf of Elementarmathematik (1989) Der Briefwechsel mit Pierre the Naturforschende Gesellschaft in Varignon Teil I (1988) Basel and the Otto Spiess Foundation Vol. 3: Van der Waerden, B.L. (Ed.) Wahrscheinlichkeitsrechnung Vol. 3: Teil II (1992) The development of mathematics in the (1975) 17th and 18th centuries has provided Vol. 4: Teil III (in preparation) the foundation of our scientific age. Vol. 4: Weil, A. (Ed.) No less than eight members of the Reihentheorie (1993) Bernoulli family from Basel have Die Werke von Daniel contributed significantly to this rise of Vol. 5: Weil, A. / Mattmüller, M. Bernoulli science. The Bernoulli Edition aims at (Eds) Ed. by Speiser, D. / rendering accessible to the modern Differentialgeometrie (1999) Radelet-de Grave, P. reader their works (some of which Vol. 6: Radelet-de Grave, P. / are unpublished as yet) as well as Vol. 1: Zimmermann, V. / Speiser, D. (Eds) their correspondence with most of the Bottazzini, U. / Howald-Haller, M. Mechanik (in preparation) distinguished scholars of their time. (Eds) Each text is presented in its original Weil, A. (Ed.) Medizin und Physiologie. language (mostly Latin or French) and Der Briefwechsel von Jacob Mathematische Jugendschriften. furnished with extensive commentaries. Positionsastronomie (1996) The introductions and the notes are in Bernoulli (1993) the language of the respective editor Vol. 2: Bouckaert, L.P. / (German, English, French or Italian). Die Streitschriften von Jacob Van der Waerden, B.L. (Eds) und Johann I Bernoulli Analysis und Wahrscheinlichkeits- rechnung (1982) Goldstine, H. (Ed.) Variationsrechnung (1991) Vol. 3: Speiser, D. / Baenst- Vandenbroucke, A. de / Pietenpol, J.L. / Radelet-de Grave, P. (Eds) Die Werke von Johann I und Mechanik (1987) Nicolaus II Bernoulli Vol. 4: Mikhailov, G.K. (Ed.) Vol. 2: Roero, C.S. / Giusti, E. (Eds) Hydrodynamik I (in preparation) Mathematik (Geometry) (in preparation) Vol. 5: Mikhailov, G.K. (Ed.) Hydrodynamik II (2002) Vol. 6: Villaggio, P. (Ed.) Mechanik I (coming soon) Vol. 6: Speiser, D. / Radelet-de Grave, P. (Eds) Elastizität (in preparation)
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Advances in Applied Clifford aequationes mathematicae Algebra Universalis Algebras Aims and Scope Aims and Scope Aims and Scope aequationes mathematicae (AEM) is an Algebra Universalis (AU) publishes papers Advances in Applied Clifford Algebras international journal of pure and applied in universal algebra, lattice theory, and (AACA) publishes high-quality peer mathematics, which emphasizes functional related fields. In a pragmatic way, one reviewed research papers as well as equations, dynamical systems, iteration could define the areas of interest of expository and survey articles in the area theory and combinatorics. The journal the journal as the union of the areas of of Clifford algebras and their applications publishes research papers, reports of interest of the members of the Editorial to other branches of mathematics, physics, meetings, bibliographies, problems and Board. In addition to research papers, engineering, and related fields. The journal solutions. High quality survey articles are we are also interested in publishing high ensures rapid publication “Online First” an especially welcome feature. In addition, quality survey articles. and is organized in six sections: Analysis, summaries of recent developments and The Mailbox contains short Differential Geometry and Dirac Operators, research in the field are published rapidly. communications in our areas of interest. Mathematical Structures, Theoretical and The languages in which papers will Mathematical Physics, Applications, and generally be accepted are English, French, Abstracted / Indexed in Book Reviews. and German. Mathematical Reviews, Mathematics Abstracts, MathSciNet, Science Citation Abstracted / Indexed in Abstracted / Indexed in Index Expanded, SCOPUS, Zentralblatt Mathematics Abstracts, Mathematical CompuMath Citation Index, Mathematical MATH Reviews, SCOPUS, Zentralblatt MATH Reviews, Mathematics Abstracts, MathSciNet, Referativnyi Zhurnal, SCOPUS, Honorary Editors-in-Chief Editor-in-Chief Zentralblatt MATH B. Jónsson Jaime Keller Vanderbilt University, USA Universidad Nacional Autònoma de Honorary Editor-in-Chief [email protected] México, México János Aczél [email protected] Department of Pure Mathematics N. Mendelsohn University of Waterloo University of Manitoba, USA Emeritus Editors Waterloo, Ont., Canada N2L 3G1 [email protected] Gaston Casanova, Paris, France J.S. Roy Chisholm, Kent, UK Editor-in-Chief Editor-in-Chief R. Delanghe, Gent, Belgium Ludwig Reich G. Grätzer Dept. of Mathematics, University of Graz University of Manitoba, USA Editorial Board Heinrichstrasse 36, A-8010 Graz, Austria [email protected] Rafal Ablamowicz, Cookeville, USA [email protected] Pierre Anglés, Toulouse, France Executive Editors William Baylis, Windsor, Canada Managing Editor B.A. Davey Paula Cerejeiras, Aveiro, Portugal Detlef Gronau La Trobe University Ruth Farwell, Buckinghanshire, UK Dept. of Mathematics, University of Graz [email protected] Jacques Helmstetter, Grenoble, France Heinrichstrasse 36, A-8010 Graz, Austria Zbigniew Oziewicz, Mexico, Mexico [email protected] C. R. Platt Josep Manel Parra i Serra, Barcelona, Spain University of Manitoba, USA Waldyr A. Rodrigues, Jr., Campinas, Brazil Associate Managing Editor [email protected] John Ryan, Fayetteville, USA Che Tat Ng Garret Sobczyk, Puebla, Mexico Department of Pure Mathematics R.W. Quackenbush Frank Sommen, Gent, Belgium University of Waterloo University of Manitoba, USA Wolfgang Sprössig, Freiberg, Germany Waterloo, Ont., Canada N2L 3G1 [email protected] Vladimir Soucek, Prague, Czech Republic Subscription Information for 2007 Subscription Information for 2007 Subscription Information for 2007 Volume 73+74 (2007) Volume 57+58 (2007) Volume 17 (2007) Back volumes are available. Back volumes are available. ISSN 0188-7009 (print) ISSN 0001-9054 (print) ISSN 0002-5240 (print) ISSN 1661-4909 (electronic) ISSN 1420-8903 (electronic) ISSN 1420-8911 (electronic) Individual price upon request. 110 For subscription prices 2007 see www.birkhauser.ch ONLINE FIRST! First published in 1997 ONLINE FIRST! First published in 2000 1 volume per year First published in 1948 1 volume per year 4 issues per volume 2 volumes per year 8 issues per volume Format: 17 x 24 cm 6 issues per volume Format: 17 x 24 cm Format: 17 x 24 cm Impact Factor 0.730 (2005)
Annales Henri Poincaré Annals of Combinatorics Archiv der Mathematik
Aims and Scope Aims and Scope Aims and Scope The goal of Annales Henri Poincaré Annals of Combinatorics (AC) will The Archiv der Mathematik (AdM) (AHP) is to serve the international publish outstanding contributions to publishes short high quality research scientific community in theoretical and combinatorial mathematics in all its papers in every area of mathematics which mathematical physics by collecting and respects. Special regard will be given to are not overly technical in nature and publishing original research papers new developments which have yet to be addressed to a broad readership. Research meeting the highest professional given proper recognition, but which in papers should have a maximal length of standards in the field. The emphasis is on the opinion of the editors show promise 10 printed pages. “analytical theoretical and mathematical of eventual mathematical breakthroughs. physics” in a broad sense. The journal is Papers published in AC will not be limited Abstracted / Indexed in organized in twelve sections: Classical to the field of combinatorics in the strict Applied Mechanics Reviews, Mathematical Mechanics / Conformal Field Theory and sense. They will range over problems and Reviews, Mathematics Abstracts, Integrable Systems / Dynamical Systems theories that have arisen, or will arise, MathSciNet, Science Citation Index and Fluid Dynamics / General Relativity in applications to computer science, Expanded, SCOPUS, Zentralblatt MATH and Geometric Partial Differential biology, statistics, probability, physics Equations / Many Body Theory / and chemistry, as well as over work of a Editorial Office Mathematical Methods in Condensed combinatorial nature in representation Ernst-Ulrich Gekeler (Managing Editor) Matter Physics / Non-Linear Partial theory, number theory topology, algebraic Christine Wilk-Pitz (Technical Editor) Differential Equations of Mathematical geometry and the theory of special Dept. of Mathematics, University of Physics / Quantum Chaos / Quantum Field functions. AC will also publish research Saarland Theory / Quantum Mechanics / Spectral, announcements, book reviews, as well as P.O. Box 151150, D-66041 Saarbrücken, Scattering and Semi-Classical Analysis / revealing and inspiring expositions. Germany Statistical Mechanics. [email protected] The journal supplies more content since Abstracted / Indexed in 2006. Mathematical Reviews, Mathematics Editors Abstracts, MathSciNet, SCOPUS, Wolfgang Arendt, Ulm, Germany Abstracted / Indexed in Zentralblatt MATH Eva Bayer-Flückiger, Lausanne, Switzerland Chemical Abstracts, Current Contents/ Erwin Bolthausen, Zürich, Switzerland Physical, Chemical & Earth Sciences, Managing Editors Derek Holt, Warwick, UK INSPEC, Mathematical Reviews, William Y.C. Chen Bernd Kawohl, Köln, Germany Mathematics Abstracts, MathSciNet, Nankai University, China Wilhelm Klingenberg, Bonn, Germany Physics Abstracts, Science Cit. Index, [email protected] Philippe Michel, Montpellier, France Science Citation Index Expanded, SCOPUS, Gabriele Nebe, Aachen, Germany Zentralblatt MATH George E. Andrews Sjoerd M. Verduyn Lunel, Leiden, The The Pennsylvania State University, USA Netherlands Editor-in-Chief [email protected] Wolfgang Ziller, Philadelphia, USA Vincent Rivasseau Laboratoire de Physique Théorique, Peter Paule Subscription Information for 2007 Batiment 210, Université Paris Sud-XI, University of Linz, Austria Volume 88 + 89 (2007) F-91405 Orsay Cedex, France [email protected] Back volumes are available. [email protected] ISSN 0003-889X (print) Subscription Information for 2007 ISSN 1420-8938 (electronic) Subscription Information for 2007 Volume 11 (2007) Volume 8 (2007) Back volumes are available. Back volumes are available. ISSN 0218-0006 (print) ISSN 1424-0637 (print) ISSN 0219-3094 (electronic) ISSN 1424-0661 (electronic)
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Circuits, Systems, and Signal computational complexity Geometric and Functional Processing Analysis Aims and Scope Aims and Scope computational complexity (CC) presents Aims and Scope Rapid developments in the analog outstanding research in computational Geometric and Functional Analysis and digital processing of signals for complexity. Its subject is at the (GAFA) will publish major results communication, control, and computer interface between mathematics and on topics in geometry and analysis systems have made the theory of theoretical computer science, with a including: Asymptotic geometric analysis; electrical circuits and signal processing a clear mathematical profile and strictly concentration phenomenon and geometric burgeoning area of research and design. mathematical format. inequalities; Symplectic geometry The aim of Circuits, Systems and Signal Central topics are: models of computation, and topology; Geometric analysis in Processing (CSSP) is to help meet the complexity bounds, complexity classes, combinatorics and probability; Geometric needs of outlets for significant research trade-off results for sequential and group theory; Mathematical problems papers and state-of-the-art review articles parallel computation, for “general” arising from quantum field theories; Non- in the area. The scope of the journal (Boolean) and “structured” computation, commutative geometry; Modern geometric is broad, ranging from mathematical for deterministic, probabilistic, and methods in real and complex analysis; foundations to practical engineering nondeterministic computation. Automorphic forms and analytic number design. It encompasses, but is not limited theory; Arithmetic and algebraic geometry; to, such topics as linear and nonlinear Abstracted / Indexed in Quantum chaos; Modern Riemannian networks, distributed circuits and systems, Current Mathematical Publications, geometry; Complexity theory; PDE in multi-dimensional signals and systems, Emerald Abstracts, INSPEC, Mathematical differential geometry and mathematical analog filters and signal processing, digital Reviews, Mathematics Abstracts, physics. We welcome papers which make filters and signal processing, statistical MathSciNet, Physics Abstracts, Science connections between these fields, and signal processing, multimedia, computer Citation Index, Science Citation Index their applications to other areas. aided design, graph theory, neural Expanded, SCOPUS, Zentralblatt MATH systems, communication circuits and Abstracted / Indexed in systems, and VLSI signal processing. Editor-in-Chief Mathematical Reviews, Mathematics J. von zur Gathen Abstracts, MathSciNet, Science Citation Abstracted / Indexed in B-IT - International Center for Information Index, Science Citation Index Expanded, COMPENDEX/Engineering Abstracts, Technology SCOPUS, Zentralblatt MATH Current Contents/Electronics & Universitity of Bonn Telecommunications Collection, Inspec, Dahlmannstr. 2 Editorial Office Physics Abstracts, Science Citation Index, D-53113 Bonn, Germany Miriam Hercberg Science Citation Index Expanded, SCOPUS, [email protected] Vitali Milman (Managing Editor) Zentralblatt MATH School of Mathematical Sciences Associate Editors Tel Aviv University, Tel Aviv 69978, Israel Editor-in-Chief Sanjeev Arora, Princeton, USA [email protected] M.N.S. Swamy, Dept. of Electrical and Peter Bürgisser, Paderborn, Germany Computer Engineering, Concordia Oded Goldreich, Rehovot, Israel Editors University, 1455 de Maisonneuve Blvd. S. Donaldson, London, UK West, Montreal, Quebec H3G 1M8, Subscription Information for 2007 M. Gromov, Bures-sur-Yvette, France Canada Volume 16 (2007) V. Milman, Tel Aviv, Israel [email protected] Back volumes are available. P. Sarnak, Princeton, USA ISSN 1016-3328 (print) Subscription Information for 2007 ISSN 1420-8954 (electronic) Subscription Information for 2007 Volume 26 (2007) Individual price upon request. Volume 17 (2007) Back volumes are available. Back volumes are available. ISSN 0278-081X (print) ISSN 1016-443X (print) ISSN 1531-5878 (electronic) ISSN 1420-8970 (electronic)
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Integral Equations and NTM – Internationale Journal of Evolution Operator Theory Zeitschrift für Equations Geschichte und Ethik der Aims and Scope Naturwissenschaften, Technik Aims and Scope Integral Equations and Operator Theory und Medizin Journal of Evolution Equations (JEE) (IEOT) appears monthly and is devoted publishes high-quality, peer-reviewed to the publication of current research in International Journal of History papers on equations dealing with time integral equations, operator theory and and Ethics of Natural Sciences, dependent systems and ranging from related topics with emphasis on the linear abstract theory to concrete applications. aspects of the theory. The journal reports Technology and Medicine Research articles contain new and on the full scope of current developments important results. Survey articles on recent from abstract theory to numerical methods Aims and Scope developments are also considered as and applications to analysis, physics, NTM is an international journal for important contributions to the field. mechanics, engineering and others. history and ethics of natural sciences, Particular topics covered by the The journal consists of two sections: technology and medicine that publishes journal are: Linear and Nonlinear a main section consisting of refereed original research papers, book reviews Semigroups Parabolic and Hyperbolic papers and a second consisting of short and news. In addition every issue features Partial Differential Equations Reaction announcements of important results, open a survey article of tropical interest on Diffusion Equations Deterministic and problems, information, etc. current questions in the history of science. Stochastic Control Systems Transport and By publishing a wide variety of research Population Equations Volterra Equations Abstracted / Indexed in results on all phases of the history of Delay Equations Stochastic Processes CompuMath Citation Index, Mathematical mankind as it evolved in all quarters of and Dirichlet Forms Maximal Regularity Reviews, Mathematics Abstracts, the Earth NTM seeks to intensify the and Functional Calculi Asymptotics and MathSciNet, Science Citation Index, reader’s interest in the lively development Qualitative Theory of Linear and Nonlinear Science Citation Index Expanded, SCOPUS, of the historiography of the sciences. The Evolution Equations Evolution Equations in Zentralblatt MATH journal welcomes articles dealing with Mathematical Physics Elliptic Operators. ethics, history of civilization and theory Editorial Office of science. Abstracted / Indexed in I. Gohberg CompuMath Citation Index, Mathematical School of Mathematical Sciences Abstracted / Indexed in Reviews, MathSciNet, Science Citation Tel Aviv University, Tel Aviv 69978, Israel Chemical Abstracts, Mathematical Index Expanded, SCOPUS, Zentralblatt [email protected] Reviews, MathSciNet, SCOPUS MATH S.M. Verduyn Lunel Managing Editor Editors-in-Chief Mathematisch Instituut, Universiteit Renate Tobies Wolfgang Arendt Leiden Dept. of Mathematics, University of University of Ulm, Dept. Applied Analysis P.O. Box 9512, 2300 RA Leiden, Kaiserslautern D-89069 Ulm, Germany The Netherlands P.O. Box 3049, D-67653 Kaiserslautern, [email protected] [email protected] Germany [email protected] Rainer Nagel Subscription Information for 2007 University of Tübingen, Dept. of Volume 57-59 (2007) Subscription Information for 2007 Mathematics Back volumes are available. Volume 15 (2007) Auf der Morgenstelle 10 ISSN 0378-620X (print) Back volumes are available. D-72076 Tübingen, Germany ISSN 1420-8989 (electronic) ISSN 0036-6978 (print) [email protected] ISSN 1420-9144 (electronic) Special society price. Subscription Information for 2007 Volume 7 (2007) Back volumes are available. ISSN 1424-3199 (print) ISSN 1424-3202 (electronic) Individual price upon request.
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Journal of Fourier Analysis Journal of Geometry Journal of Mathematical Fluid and Applications Mechanics Aims and Scope Aims and Scope Journal of Geometry (JG) is devoted Aims and Scope The Journal of Fourier Analysis and to the publication of current research The Journal of Mathematical Fluid Applications (JFAA) publishes results in developments in the fields of geometry, Mechanics (JMFM) is a forum for the Fourier analysis, as well as applicable and in particular recent results in publication of high-quality peer-reviewed mathematics having a significant foundations of geometry, geometric papers on the mathematical theory of fluid Fourier analytic component. Appropriate algebra, finite geometries, combinatorial mechanics, with special regards to the manuscripts at the highest research level geometry, and special geometries. Navier-Stokes equations. As an important are accepted for publication. Because of part of that, the journal encourages papers the extensive, intricate, and fundamental Abstracted / Indexed in dealing with mathematical aspects of relationship between Fourier analysis Mathematical Reviews, MathSciNet, computational theory, as well as with and many other subjects, select and SCOPUS, Zentralblatt MATH applications in science and engineering. readable surveys are also published. These The journal also publishes in related areas surveys include historical articles, research Editorial Office of mathematics that have a direct bearing tutorials, and expositions of specific topics. H.-J. Kroll on the mathematical theory of fluid JFAA provides a perspective and means TU München, Dept. Mathematics mechanics. All papers will be characterized for centralizing and disseminating new Boltzmannstr. 3, D-85747 Garching, by originality and mathematical rigor. information from the vantage point of Germany JMFM supplies more content since 2006. Fourier analysis. The breadth of Fourier [email protected] analysis and diversity of its applicability Abstracted / Indexed in require that each paper should contain a Editors COMPENDEX/Engineering Abstracts, clear and motivated introduction, which is R. Artzy, Haifa, Israel Mathematical Reviews, Mathematics accessible to all of our readers. A. Barlotti, Firenze, Italy Abstracts, MathSciNet, SCOPUS, Since 2006 JFAA supplies more content. M. Barner, Königsfeld, Germany Zentralblatt MATH W. Benz, Hamburg, Germany Abstracted / Indexed in P. V. Ceccherini, Roma, Italy Editors-in-Chief CompuMath Citation Index, Current W. Heise, München, Germany Giovanni P. Galdi (Managing Editor) Contents/Engineering, Computing & J.W. P. Hirschfeld, Brighton, UK University of Pittsburgh Technology, Current Mathematical H. Karzel, München, Germany Dept of Mechanical Engineering Publications, Mathematical Reviews, H.–J. Kroll, München, Germany 535 Benedum Hall, Pittsburgh, PA 15260, MathSciNet, Science Citation Index W. Leissner, Oldenburg, Germany USA Expanded, SCOPUS, Zentralblatt MATH M. Marchi, Brescia, Italy [email protected] M. Scafati Tallini, Roma, Italy Editor-in-Chief G. Stanilov, Sofia, Bulgaria John G. Heywood Hans G. Feichtinger N. K. Stephanidis, Thessaloniki, Greece University of British Columbia, Dept of University of Vienna Mathematics Nordbergstrasse 15, A-1090 Wien, Austria Subscription Information for 2007 Vancouver, V6T 1Z2, Canada [email protected] Volume 88-90 (2007): ô [email protected] Back volumes are available. Subscription Information for 2007 ISSN 0047-2468 (print) Rolf Rannacher Volume 13 (2007) ISSN 1420-8997 (electronic) University of Heidelberg, Dept. Applied Back volumes are available. Mathematics ISSN 1069-5869 (print) Im Neuenheimer Feld 294, ISSN 1531-5851 (electronic) D-69120 Heidelberg, Germany Individual price upon request. [email protected]
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Mediterranean Journal of Milan Journal of Mathematics Nexus Network Journal Mathematics Architecture and Mathematics Aims and Scope Aims and Scope Milan Journal of Mathematics (MJM) The Mediterranean Journal of publishes high quality articles from Aims and Scope Mathematics (MedJM) is a new all areas of Mathematics and the Founded in 1999, the Nexus Network publication issued by the Department of Mathematical Sciences. The authors Journal (NNJ) is a peer-reviewed journal Mathematics of the University of Bari. The are invited to submit „articles with for researchers, professionals and students new journal replaces the “Conferenze del background“, presenting a problem of engaged in the study of the application Seminario di Matematica dell’Università di current research with its history and its of mathematical principles to architectural Bari” which has been in publication from developments, the current state and design. Its goal is to present the broadest 1954 until 2003. Mediterranean Journal possible future directions. The presentation possible consideration of all aspects of of Mathematics aims to publish original should render the article of interest to a the relationships between architecture and high-quality peer-reviewed papers wider audience than just specialists. and mathematics, including landscape containing significant results across all architecture and urban design. fields of mathematics. Furthermore it Abstracted / Indexed in intends to offer mathematicians from MathSciNet, SCOPUS, Zentralblatt MATH Abstracted / Indexed in the Mediterranean countries a particular Avery Index of Architectural Publications, opportunity to circulate the results of their Managing Editor Mathematical Reviews, MathSciNet, researches in a common journal. Through Bernhard Ruf SCOPUS, Zentralblatt MATH, ZDM such a new cultural and scientific stimulus Università degli Studi di Milano (Zentralblatt für Didaktik der Mathematik) the journal aims to contribute to further Dipartimento di Matematica integration amongst Mediterranean Via Saldini 50, I-20133 Milano, Italy Editor-in-Chief universities, though it is open to [email protected] Kim Williams, Torino, Italy contribution from mathematicians across [email protected] the world. Editorial Board Luis A. Caffarelli, Austin, USA Contributing Editors Abstracted / Indexed in Helmut Hofer, New York, USA Rachel Fletcher, Vermont, USA SCOPUS, Zentralblatt MATH David Kinderlehrer, Pittsburgh, USA Sylvie Duvernoy, Firenze, Italy Benoît Perthame, Paris, France Editor-in-Chief Vladimir G. Romanov, Novosibirsk, Russia Corresponding Editors Francesco Altomare, Bari, Italy Andrew Sommese, Notre Dame, USA Michael J. Ostwald, Australia [email protected] Karl Strambach, Erlangen, Germany Igor Verner, Israel Hiroki Tanabe, Takarazuka, Japan Izumi Kuroishi, Japan Editorial Board Francisco Javier Delgado Cepeda, México L. Ambrosio / A. Aytuna / M. Benchohra / Subscription Information for 2007 Robert Kirkbride, USA V. Benci / H. Brezis / C. Casacuberta / Volume 75 (2007) Andrew I-Kang Li, China M. de León / J. A. Dias da Silva / Back volumes are available. Vera Spinadel, Argentina D. Fortunato / G. Gallavotti / G. Godefroy / ISSN 1424-9286 (print) Dag Nilsen, Norway I. Gohberg / S.R. Grace / P. Jiménez Guerra / ISSN 1424-9294 (electronic) B. Keller / G. Korchmaros / D. Leviatan / Individual and society price upon request. Subscription information for 2007 L. Lopez / S. Mardešic / E. Merzbach / Volume 9 (2007) A. Olevskii / R. Ortega / M. Oudadess / Back volumes (2004-2006) are available. N. Papamichael / A.M. Pastore / D. Repovs / ISSN 1590-5896 (print) L.H. Rowen / C. Simó / T.E. Simos / ISSN 1522-4600 (electronic) P.M. Soardi / K. Trimeche / I. Vaisman / Individual and society price upon request. J.L. Vázquez Every journal issue is published and Subscription Information for 2007 available as a separate book. Volume 4 (2007) (See page 96) Back volumes are available. ISSN 1660-5446 (print) ISSN 1660-5454 (electronic) Individual price upon request.
115 Journals
ONLINE FIRST! First published in 1998 ONLINE FIRST! First published in 1994 1 volume per year 1 volume per year 1 volume per year 4 issues per volume 4 issues per volume 6 issues per volume Format: 17 x 24 cm Format: 17 x 24 cm Format: 17 x 24 cm Impact Factor 0.692 (2005)
Nonlinear Differential Physics in Perspective Positivity Equations and Applications Aims and Scope Aims and Scope Aims and Scope Physics in Perspective (PIP) seeks to The purpose of Positivity is to provide an The purpose of the Journal NoDEA bridge the gulf between the physicist outlet for high quality original research in – Nonlinear Differential Equations and the non-physicist through historical all areas of analysis and its applications and Applications is to encourage the and philosophical studies that typically to other disciplines having a clear and interaction between pure mathematics display the unpredictable as well as the substantive link to the general theme and applied sciences. In particular, it cross-disciplinary interplay of observation, of positivity. Specifically, articles that will provide a forum for research papers experiment, and theory that has occurred illustrate applications of positivity to other on nonlinear differential equations over extended periods of time in disciplines – including but not limited to – and applications to natural sciences. academic, governmental, and industrial economics, engineering, life sciences, General theory will include ordinary settings and in allied disciplines such physics and statistical decision theory are and partial differential equations (both as astrophysics, chemical physics, and welcome. deterministic and stochastic), variational geophysics. The journal also publishes Positivity supplies more content since and topological methods, control first-person accounts by physicists of 2006. theory, qualitative analysis including significant contributions they have made, stability and bifurcation. Applications to biographical articles, book reviews, and Abstracted/Indexed in natural sciences include the treatment guided tours of historical sites in cities CompuMath Citation Index, Current of problems in classical, statistical and throughout the world, it strives to make Contents/Physical, Chemical and Earth quantum mechanics, electromagnetism, all articles understandable to a broad Sciences, Journal Citation Reports-Science, population dynamics, chemical kinetics, spectrum of readers-scientists, teachers, Mathematical Reviews, MathSciNet, combustion theory. students, and the public at large. PASCAL, Science Citation Index Expanded, NoDEA supplies more content since 2006. SCOPUS, Zentralblatt MATH Abstracted / Indexed in Abstracted / Indexed in INSPEC, Mathematical Reviews, Editor-in-Chief Mathematical Reviews, MathSciNet, MathSciNet, Physics Abstracts, Science Charalambos D. Aliprantis, Purdue SCOPUS, Zentralblatt MATH Citation Index Expanded, SCOPUS, Social University, USA Managing Editor Sciences Citation Index [email protected] I. Capuzzo Dolcetta Dipartimento di Matematica Editors-in-Chief Editorial Board Università di Roma „La Sapienza“ John S. Rigden T. Ando, Japan / W. Arendt, Germany / P.le A. Moro 2, I-00185 Roma, Italy Dept of Physics, Washington University A. V. Bukhvalov, Russia / B. Cornet, France / [email protected] St. Louis, MO 63130, USA B. De Pagter, Netherlands / G. Dodds, [email protected] Australia / H. Enflo, USA / V. A. Geyler, Honorary Editors Russia / J. A. Goldstein, USA / Y. Gordon, A. Ambrosetti, Trieste, Italy Roger H. Stuewer Israel / G. Isac, Canada / W. B. Johnson, A. Cellina, Milano, Italy Tate Laboratory of Physics, University of USA / N. J. Kalton, USA / A. G. Kusraev, R. Conti, Firenze, Italy Minnesota Russia / S. S. Kutateladze, Russia / V. I. G. Da Prato, Pisa 116 Church Street SE Lomonosov, USA / W. A. J. Luxemburg, L. Salvadori, Trento, Italy Minneapolis, MN 55455, USA USA / B. S. Mordukhovich, USA /nR. Nagel, Editorial Committee [email protected] Germany / V.I. Paulsen, USA / R.G. Pinsky, V. Coti Zelati, Napoli, Italy Israel / D.G. Saari, USA / E. Størmer, F. Flandoli, Pisa, Italy Subscription Information for 2007 Norway / M. Théra, France / L. Thibault, N. Fusco, Napoli, Italy Volume 9 (2007) France / R. Tourky, USA / A.I. Veksler, A. Lunardi, Parma, Italy Back volumes are available. Russia / A.W. Wickstead, N. Ireland L. Orsina (Assistant Editor), Roma, Italy ISSN 1422-6944 (print) S. Terracini, Milano Italy ISSN 1422-6960 (electronic) Subscription Information for 2007 Individual and society price upon request. Volume 11 (2007) Subscription Information for 2007 Back volumes are available. Volume 14 (2007) ISSN 1385-1292 (print) Back volumes are available. ISSN 1572-9281 (electronic) ISSN 1021-9722 (print) ISSN 1420-9004 (electronic)
116 For subscription prices 2007 see www.birkhauser.ch First published in 1978 ONLINE FIRST! First published in 1996 2 volumes per year First published in 1981 1 volume per year 4 issues per volume Renamed 1995 4 issues per volume Format: 17 x 24 cm 1 volume per year Format: 15.5 x 23.5 cm 4 issues per volume Impact Factor 0.514 Format: 17 x 24 cm (2005)
Results in Mathematics Selecta Mathematica Transformation Groups New Series Aims and Scope Aims and Scope The journal Results in Mathematics (RM) Transformation Groups (TG) will only publishes mainly research papers in all Aims and Scope accept research articles containing fields of pure and applied mathematics. Selecta Mathematica, New Series (SM) is new results, complete proofs and an In addition, it publishes summaries of a peer reviewed journal addressed to a abstract. Topics include: Lie groups and any mathematical field and surveys of general audience of mathematicians. Any Lie algebras; Lie transformation groups any mathematical subject provided they topic in pure and applied mathematics will and holomorphic transformation groups; are designed to advance some recent be considered appropriate for review. The Algebraic groups; Invariant theory; mathematical development. journal is global in philosophy and flexible Geometry and topology of homogeneous in its acceptance of individual style. spaces; Discrete subgroups of Lie groups; Abstracted / Indexed in The diversity of the editorial board will Quantum groups and enveloping algebras; Mathematical Reviews, Mathematics guarantee the coexistence in the journal Group aspects of conformal field theory; Abstracts, MathSciNet, Zentralblatt MATH not only of a wide variety of pure and Kac-Moody groups and algebras; Lie applied topics but also of a wide variety in supergroups and superalgebras. Editor-in-Chief the mathematical language in which the Hans-Joachim Arnold, Duisburg, Germany subjects are conveyed. Abstracted / Indexed in CompuMath Citation Index, Mathematical Editorial Board Abstracted / Indexed in Reviews, MathSciNet, Science Citation W. Eberhard, Duisburg, Germany Mathematical Reviews, Mathematics Index Expanded, SCOPUS, Zentralblatt G. Freiling, Duisburg, Germany Abstracts, MathSciNet, SCOPUS, MATH U. Simon, Berlin, Germany Zentralblatt MATH H. Wefelscheid, Duisburg, Germany Editor-in-Chief Editor-in-Chief Ernest B.Vinberg Editorial Office Israel M. Gelfand Department of Mathematics (Algebra) H. Wefelscheid Rutgers University, New Brunswick, USA Moscow State University Dept. of Mathematik Vorob‘evy Gory, 119992 GSP-2 Moscow, University of Duisburg Managing Editor Russia Lotharstrasse 65, D-47057 Duisburg, Amy Cohen [email protected] Germany Department of Mathematics, Rutgers [email protected] University Executive Managing Editor Piscataway, NJ 08854, USA V.L. Popov Subscription Information for 2007 [email protected] Steklov Mathematical Institute Volume 51+52 (2007) Russian Academy of Sciences Back volumes are available. Associate Editors Gubkina 8, Moscow 119991, Russia ISSN 1422-6383 (print) David Kazhdan [email protected] ISSN 1420-9012 (electronic) Department of Mathematics, Harvard University Subscription Information for 2007 Cambridge, MA 02138, USA Volume 12 (2007) Back volumes are available. Robert D. MacPherson ISSN 1083-4362 (print) School of Mathematics, Institute for ISSN 1531-586X (electronic) Advanced Study Individual price upon request. Princeton, NJ 08540, USA
Subscription Information for 2007 Volume 13 (2007) Back volumes are available. ISSN 1022-1824 (print) ISSN 1420-9020 (electronic)
117 Journals
New Journals in 2007
ONLINE FIRST! Online First! Online First! First published in 1950 2 volumes per year 1 volume per year 1 volume per year 2 issues per volume 4 issues per volume 6 issues per volume Format: 17 x 24 cm Format: 17 x 24 cm Format: 17 x 24 cm New in 2007
Zeitschrift für angewandte Journal of Fixed Point Theory Complex Analysis and Mathematik und Physik and Applications Operator Theory
Aims and Scope Aims and Scope Aims and Scope The Journal of Applied Mathematics and The Journal of Fixed Point Theory and Complex Analysis and Operator Theory Physics (ZAMP) publishes papers of high Applications (JFPTA) publishes high- is devoted to the publication of current quality in Fluid Mechanics, Mechanics of quality peer-reviewed research papers in research developments in the closely Solids and Differential Equations/Applied all disciplines in which the tools of the related fields of complex analysis and Mathematics. The readers of ZAMP fixed point theory play an essential role. operator theory as well as in applications will find not only articles in their own Research topics include but are not limited to system theory, harmonic analysis, special field but also original work in to: New developments in fixed point theory probability, statistics, learning theory, and neighbouring domains. This will lead to an as well as in related topological methods; other related fields. exchange of ideas; concepts and methods Ramifications to symplectic topology, Articles using the theory of reproducing which have proven to be successful in dynamical systems and global analysis; kernel spaces are in particular welcomed. one field may well be useful to other Significant applications in nonlinear areas. ZAMP attempts to publish articles analysis, mathematical economics and Editor-in-Chief reasonably quickly. Longer papers are computation theory; Contributions to Daniel Alpay published in the section “Original Papers”, important problems in geometry, fluid Ben-Gurion University of the Negev, shorter ones may appear under “Brief dynamics and mathematical physics. A Be'er-Sheva, Israel Reports” where publication is particularly limited number of expository and survey rapid. The journal includes a “Book articles will also be published. Editorial Board: Review” section and provides information The journal will be organized into six J. Ball (Blacksburg) L. Baratchart (Sophia- on activities (such as upcoming symposia, sections: Algebraic and Geometric Antipolis) H. Bercovici (Bloomington) meetings or special courses) which are of Topology; Symplectic Topology and A. Berlinet (Montpellier) A. Dijksma interest to its readers. Global Analysis; Nonlinear Analysis; (Groningen) H. Dym (Rehovot) Classical Topics; Games, Economics A. Gheondea (Ankara) I. Gohberg (Tel- Abstracted / Indexed in and Computation Theory; Surveys, Brief Aviv) P. Jorgensen (Iowa City) Applied Mechanic Reviews, Chemical Communications and Open Problems T. Kaptanoglu (Ankara) V. Katsneslon Abstracts Service, Inspec, Mathematical (Rehovot) B. Kirstein (Leipzig) H. Langer Reviews, Mathematics Abstracts, Science Editor-in-Chief (Vienna) J. Leiterer (Berlin) S. Mccullough Citation Index Expanded, SCOPUS, Andrzej Granas (Gainesville) G. Misra (Bengalore) Selective, Zentralblatt MATH M. Putinar (Santa-Barbara) L. Rodman Managing Editor / Editorial Office (Williamsburg) C. Sadosky (Washington) Managing Editor Gilles Gauthier S. Saitoh (Gunma) M. Shapiro (Mexico Kaspar Nipp Université de Montréal, Québec, Canada City) F. Sommen (Ghent) O. Staffans (Abo) Applied Mathematics, ETH Zentrum [email protected] V. Vinnikov (Beer-Sheva) G. Weiss (London) CH-8092 Zürich, Switzerland D. Zhou (Hong-Kong) [email protected] Editorial Advisory Board H. Brezis / Y. Choquet-Bruhat / P. Malliavin / Subscription Information for 2007 Editorial Office V. Maslov / I. Namioka / R. Palais / Volume 1 (2007) ZAMP Editorial Office P. Rabinowitz / C. Ryll-Nardzewski / ISSN 1661-8254 (print) P.O. Box 133, CH-4010 Basel, Switzerland A. Schwarz / A. Skorokhod ISSN 1661-8262 (electronic) [email protected] Section Editors Subscription Information for 2007 M. Crabb (Aberdeen, UK) / O. Cornea Volume 58 (2007) (Montreal, Canada) / N. Dancer (Sydney, Back volumes are available. Australia) / S. Reich (Haifa, Israel) / ISSN 0044-2275 (print) F. Che Liu (Nankang, Taipei, Taiwan – PR ISSN 1420 9039 (electronic) China) / K. Kuperberg (Auburn, USA)
Subscription Information for 2007 Volume 1 (2007) ISSN 1661-7738 (print) ISSN 1661-7746 (electronic) 118 For subscription prices 2007 see www.birkhauser.ch New Journals in 2007
Online First! Online First! 1 volume per year 1 volume per year Birkhäuser Subject 2 issues per volume 4 issues per volume Format: 17 x 24 cm Format: 17 x 24 cm Catalogs New in 2007 New in 2007
Logica Universalis Mathematics in Computer Science Aims and Scope Logica Universalis publishes peer-reviewed Aims and Scope Engineering 2006 research papers related to universal Mathematics in Computer Science Applied Mathematics / Computational features of logics. Topics include general publishes high-quality original Methods – Probability and Statistics – tools and techniques for studying already research papers on the development existing logics and building new ones, of theories and methods for computer Mechanical Engineering – electrical the study of classes of logics, the scope and information sciences, the design, Engineering - Physics in Engineering – of validity and the domain of application implementation, and analysis of Signal Processing - Systems & Control of fundamental theorems, and also algorithms and software tools for philosophical and historical aspects of mathematical computation and reasoning, Download at www.birkhauser.ch general concepts of logic. and the integration of mathematics and computer science for scientific and Editor-in-Chief engineering application. Insightful survey Jean-Yves Béziau articles may be submitted for publication Swiss National Science Foundation, by invitation. As one of its distinct Switzerland features, the journal will publish only special issues on carefully selected topics, Editorial Board reflecting the trends of development in the A. Avron, Tel Aviv, Israel / D. Batens, broad area of Mathematics in Computer Ghent, Belgium / J. van Benthem, Science. Submission of proposals for Amsterdam and Stanford / C. Caleiro, special issues is welcome. Lisbon, Portugal / W. Carnielli, Campinas, Brazil / N. da Costa, Florianopolis, Brazil / Editors-in-Chief History & Philosophy of J. Czelakowski, Opole, Poland / M. Dunn, Dongming Wang (Managing Editor) Science 2006/07 Indiana, USA / M. Fitting, New York, USA / Zhiming Zheng D. Gabbay, London, UK / J. Goguen, San School of Science, Beihang University, History of Mathematics – History of Diego, USA / V. Goranko, Johannesburg, Beijing, China Physics / Engineering – Philosophy South Africa / Y. Gurevitch, Redmond, of Science – Biographies – Leonhard USA / P. Hájek, Prague, Czech Republic / Editorial Board Euler: Opera Omnia – The Bernoulli W. Hodges, London, UK / L. Humberstone, Y. Bar-Yam, NECSI, Cambridge, MA, USA / Family: Collected Scientific Papers Melbourne, Australia / H. He, Northwestern L.M.A. Bettencourt, Los Alamos, NM, USA / Polytechnical School, China / G. Jaeger, J.-C. Faugère, CNRS/UPMC/INRIA, Paris, Bern, Switzerland / R. Jansana, Barcelona, France / I.S. Kotsireas, Wilfired Laurier Download at www.birkhauser.ch Spain / M. Kracht, Los Angeles, USA / University, Waterloo, Canada / S. Ratschan, R. Natarajan, Mumbai, India / I. Németi, Academy of Sciences, Prague, Czech Budapest, Hungary / S. Odintsov, Tomsk, Republic / P.F. Stadler, Leipzig University, Russia / F. Paoli, Cagliari, Italy / V. de Germany / B. Xia, Beijing University, China / Paiva, Palo Alto, USA / A. Rodin, Paris, C.K. Yap, New York University, NY, USA / France / K. Segerberg, Uppsala, Sweden / K. Yokoyama, Rikkyo University, Japan / J. Väänänen, Helsinki, Finland / L. Vigano, R. Zecchina, ICTP, Trieste, Italy Zürich, Switzerland / H. Wansing, Dresden, Germany / R. Zach, Calgary, Canada Subscription Information for 2007 Volume 1 (2007) Subscription Information for 2007 ISSN 1661-8270 (print) Volume 1 (2007) ISSN 1661-8289 (electronic) ISSN 1661-8297 (print) ISSN 1661-8300 (electronic) The Bernoulli Edition The Collected Scientific Papers of the Mathematicians and Physicists of the Bernoulli Family
Download at www.birkhauser.ch 119 Author and Editor Index
A Ball 51 Bott 104 Christofides 65 Abbate 82 Ballmann 24 Bottazzini 109 Chrusciel 78 Abdallah 64 Balog 10 Böttcher 51, 62 Chruscinski 76 Abed 65 Bandle 54 Bouchut 20 Chung 69 Abele 98 Bandt 70 Bouckaert 109 Clark 20 Ablamowicz 45, 77, 78 Bangerth 22 Boukas 66, 67 Cnops 77 Abonyi 68 Banuelos 10 Boutet de Monvel 2 Cohen 25 Abou-Kandil 65 Barndorff-Nielsen 73 Bouwknegt 9 Cohn 62 Adamson 36 Bart 52 Bovill 96 Colli 80 Adamyan 52 Bartholdi 3 Brandolini 82 Colombini 55 Adler 73 Bartušek 62 Brasselet 30 Colombo 76 Aftalion 53 Bas¸ ar 65 Bratteli 82 Colonius 65 Aguade 9 Bashirov 65 Braunß 87 Colzani 82 Ahlfors 104 Bass 10 Bresar 18 Conlon 27 Ahues 90 Bättig 22 Brézis 62 Constanda 58, 90, 91 Albeverio 49, 51 Batty 15 Brighi 54 Consul 72 Alfsen 17 Baues 3 Brillard 54 Contreras 85 Allen 65 Baumslag 22 Brion 7 Cooper 82 Allgöwer 68 Becchi 107 Brites Lebre 51 Cordani 77 Alpay 47, 48, 50, 51, 52 Behal 67 Bröcker 35 Coron 54 Alt 90 Beletsky 78 Broto 9 Corradi 107 Altmann 83 Belitskii 51 Brown 26, 62 Corry 107 Amann 15, 34, 58, 60 Bellomo 85 Bruening 77 Corsini 85 Ambrosetti 6 Beltita 52 Bruin 80 Corwin 96 Ambrosio 22 Benci 55 Bruschi 85 Costa 54 Amirouche 88 Benedetto 82 Brylinski 10 Costabel 109 Ammann 90 Benz 44 Buchholz 2 Coulombel 56 Amrein 61 Bercovici 52 Bucur 54 Cowling 9 Andersson 8 Berestycki 54 Buhmann 80 Cramer 25 Andreescu 37, 39, 40, Berinde 96 Bulirsch 80 Cremona 8 43, 96 Bermúdez de Castro 75 Burckel 62 Cruzeiro 70 Andreu-Vaillo 8 Berndt 10 Buttazzo 54 Cushman 78 Andrica 39 Bernhard 65 Anker 7, 8 Bernstein 5, 39 C D Antia 90 Berry 92 Calgaro 56 Dacorogna 55 Antontsev 55 Beurling 104 Calin 82 Dalang 70 Antreich 80 Beziau 36 Cannarsa 54 Dalibard 76 Antsaklis 67, 68 Bhattacharya 24 Cannas da Silva 26 Dal Maso 53, 55 Arendt 15, 58, 62 Bhattacharyya 66 Capar 70 Damgard 25 Argyros 26 Bi 82 Capasso 85 Damour 74 Arne 104 Billey 10 Capriz 85 Da Prato 26 Arnold 10, 45 Birkenhake 10 Carlson 22 Darrigol 74 Arone 8 Birkhoff 104 Casacuberta 9 Darvas 94 Artin 35 Blair 9 Caselles 8 Das 82 Ashino 50 Blanchard 32, 77 Castellini 17 Datta 66 Ashyralyev 51 Blankenship 67 Catalano 25 Dauben 100 Atanackovic 91 Bloch 36, 45 Cazenave 54 David 7 Aubry 24 Boggiatto 48, 50 Ceccherini-Silberstein 3 Davis 65, 82, 92, 96, 107 Audin 11, 26 Bogomolov 7 Cerami 55 Dawson 67 Bohner 62 Cercignani 24, 76, 77 de Arellano 52 B Bojarski 31 Cerulus 109 Debnath 82, 89, 90 Bachmann 90 Bolthausen 24 Chang 82 de Boor 22 Badescu 13 Bondy 31 Chaplain 90 Decreusefond 70 Bagaria 31 Booss-Bavnbek 107 Chatterji 96 DeCusatis 82 Bahri 55 Borel 16 Chauvin 32 Degiovanni 55 Baird 54 Borgwardt 90 Chebotar 18 Degond 85 Bais 98 Borichev 52 Chen 67, 73, 104 de Gosson 49 Bakstein 85 Borodin 69 Cherix 9 Dehling 73 Balakrishnan 71 Borovik 8 Chipot 27, 54 Dehornoy 9 Balashov 101 Borre 90 Chriss 45 Deischl 90 120 Christensen 81, 82 Dell'Antonio 32 Giaquinta 62 Hambleton 24 Delorme 8 F Giga 14 Hardy 90 Demuth 49, 52, 69, 75 Faber 9 Gigli 22 Haroske 62 Denker 24 Facchini 10 Gil 49 Haubold 87 de Pagter 48 Falcke 90 Gilding 54 Haussmann 80 de Queiroz 67 Falk 73 Gilg 80 Havin 52 DeSimone 53 Famoye 72 Giné 70 He 90 Deutsch 85, 90 Faraut 10 Ginzburg 45 Hehl 77 Diaz 55 Fardoun 54 Giovangigli 85 Heij 68 DiBenedetto 27 Feichtinger 82 Girard 40 Helton 51 Di Crescenzo 25 Feldman 73 Gittenberger 32 Hempfling 32 Dieudonne 45 Fellmann 106 Giusti 109 Henkin 10 Dijksma 52 Fels 4 Glagoleva 96 Henn 26 Dixon 67 Feng 37, 40 Gloor 62 Henrot 19 do Carmo 17 Ferraro 85 Glynn 92 Herman 82 Dodge 71 Ferreira 82 Goerss 10 Hernández-Lerma 8 Dolbeault 10 Ferreiros 100 Gohberg 40, 46, 47, 51, Hersh 96 Doran 90 Figueiredo 79 52, 62 Hess 25 Dormann 85 Figueroa 27 Goldberg 52, 62 Heyne 106 Dorst 90 Filar 83 Goldstine 109 Hieber 15, 58 Došlá 62 Filippov 78 Golubitsky 9, 62 Hillermeier 80 dos Santos 51 Flajolet 32 Gomez 93 Hinich 5 Douçot 75 Flockerzi 24 Good 72 Hinz 61 Doukhan 73 Floegl 90 Goodearl 26 Hirsch 90 Dozzi 70 Flucher 55 Gorbachuk 52 Hofer 27 Dragan 65 Foata 35 Goudon 56 Hoffmann 80 Dräger 73 Foce 107 Gracia-Bondia 27 Hoffmann-Jørgensen 70 Dragomir 11 Foias 52 Graef 62 Hogan 82 Drensky 26 Fomin 85 Graf 70, 93 Hong 41 Drmota 32 Fonlupt 31 Graham 92 Hool 108 Dufour 5 Formanek 26 Grasshoff 108 Hotta 7 Dungey 8 Förster 50 Grätzer 38, 95 Houdré 70 Dunn 90 Fortunato 55 Gray 8, 107 Howald-Haller 109 Duplantier 74, 75, 76, 77 Fouquet 31 Greuel 10 Howard 90, 101 Duval 8 Fournier 31 Griebel 90 Høyrup 107 Dwyer 26 Freeden 82 Grieser 49 Hristu-Varsakelis 67 Dybin 51 Freidlin 22 Grigoriu 73 Hu 39, 67 Freiling 65 Grigoryan 12 Huang 16 E Freistühler 55 Gröchenig 82 Hubbuck 8 Ebenfelt 50 Fresnel 8 Groeneboom 24 Huber-Carol 71 Ecker 55 Friedman 76 Gromov 11 Hubert 71 Eden 78 Friedrich 78 Grossinho 55 Huckleberry 4, 24 Edwards 41, 62 Fuchs 35 Grudsky 46, 51, 62 Hummel 11 Eidelman 51 Gu 67 Hunziker 107 Eiderman 50 G Guerraggio 100 Hüsler 73 Eisenmann 90 Gabriel 27 Guieu 8 Hyers 55 Eisenstaedt 101 Gaitsgory 83 Guivarc'h 11 Elander 51 Gal 89 Gupta 73 I Eliashberg 45 Galaktionov 55 Gürlebeck 33 Iagolnitzer 2 Ellis 51 Galdi 23, 57 Gustafsson 50, 56 Iannelli 55 Elschner 52 Gardy 32 Gutenmacher 45 Iglesias 65 El Soufi 54 Garrett 104 Gutierrez 55 IIagolnitzer 78 Enescu 96 Gasca 100 Guzman 62 Iliev 76 Enns 92 Gaspar 51 Gyr 32 Imkeller 70 Erusalimskii 46 Gautschi 90 Ionescu 65 Escher 34, 54, 60 Gelbart 39 H Iordan 10 Essen 9 Gelfand 8, 17, 45, 96, 97 Haase 46 Iosevich 82 Estrada 27 Ghionna 85 Habetha 33 Isac 55 Etingof 4 Giannoni 55 Halanay 65 Isidori 24 Evans 67 Everitt 51 121 Author and Editor Index
Israel 100 Knörrer 22 Le Gall 22 Mattmüller 109 Knudson 9 Lehto 102 Matveev 67 J Koch Medina 73 Leisi 78 Mayer 45 Jacobsen 69 Kock 3 Lepowsky 8, 96, 97 Maz'ya 52 Jamiolkowski 76 Koelink 48 Lerman 26 Mazon 8 Janas 50 Kohn 55 Lesch 49 Mazzola 88, 94 Jank 65 Kolmogorov 108 Le Tallec 85 McEneaney 64 Jardine 10 Kopachevsky 51, 52 Leugering 80 McGuire 92 Jensen 100 Koranyi 10 LeVeque 22 McIntosh 32 Jerrum 22 Körner 98 Levi 8 Meester 73 Jetter 80 Kotz 73 Levine 67, 77 Melikyan 63 Ji 11, 16 Kowalski 7 Li 8 Melnikov 5, 8 Jolissaint 9 Kox 101 Liberzon 65 Menini 64 Jonas 50 Kozubowski 73 Lieb 23 Menzler-Trott 108 Jorgensen 82 Krainer 49, 87 Limnios 71 Merino 73 Joseph 8 Krall 51 Lin 63, 67 Merlini 89 Julg 9 Krantz 27, 29, 63 Lindner 19 Mesbah 71 Junek 87 Krause 32 Litvinov 52 Métivier 85 Junge 90 Krausshar 20 Liu 67 Meyer-Spasche 80 Jüngel 55 Kreck 24 Ljung 24 Michel 68, 82 Junghanns 51 Krein 51, 52 Locatelli 68 Micheletti 55 Kreiss 22 Lomp 20 Migliore 10 K Kremer 77 Long 9 Mikhailov 109 Kaashoek 50, 51, 52, 62 Krim 84 Lopes 54 Mikosch 73 Kac 107 Krishna 75 Lorenzi 55 Mikusinski 63 Kadison 45 Kromann 45 Losa 89 Millàn Gasca 108 Kaiser 90 Krömer 99 Lounesto 78 Milman 45 Kajitani 55 Krupnik 52 Lu 10 Min-Oo 26 Kallianpur 73 Kuba 82 Lubotzky 8, 10 Mioduchowski 91 Kaluza 107 Kubrusly 63 Lucertini 108 Miro-Roig 9 Kaneyuki 10 Kulish 7 Luger 50 Mishchenko 31 Kannan 71 Kumar 7, 9 Lumer 55 Mislin 26 Kanwal 27, 61 Kunz 41, 42 Lüneburg 45 Miwa 9, 77 Kapranov 17 Kurasov 50, 51 Lupo 55 Miyaoka 24 Karandikar 73 Kurdachenko 19 Lynch 92 Mizukami 83 Karapetiants 62 Kurdila 65 Lyshevski 67 Modica 62 Karlovich 51 Kuzin 55 Mohan 91 Kasch 20 Kwak 41 M Mokkadem 32 Kashiwara 9, 11, 77 Kwapien 69 Mache 80 Moonen 6 Katona 10 Kwatny 67 Mader 20 Moore 10 Kaufmann 93 Kythe 63, 90 Mahrenholtz 90 Morales Ruiz 10 Kawauchi 45 Malchiodi 6 Morucci 85 Keller 100 L Maldeghem 15 Moschella 2 Kerchy 52 Lagnese 80 Mallios 44, 78 Mosco 70 Kersner 54 Lakey 82 Manásevich 54 Moser 22 Kesel 90 Lakshmibai 10 Manojlovic 7, 51 Moszynska 44 Kharitonov 67 Lam 86 Marage 100 Muller 88 Khavinson 50 Lancaster 40 Marasco 84, 85 Müller 13 Khoussainov 86 Lancellotta 84 Marcellini 55 Murasugi 45 Khruslov 74 Lande 90 Marchenko 74 Mushkarov 43 Kirkner 85 Lange 10 Marchisotto 96 Musso 7 Kiselev 85 Langer 50, 51, 52 Marcus 70 Klainerman 77 Lapidus 39 Mariano 85 N Klaus 51 Laporte 85 Markvorsen 26 Naboko 50 Klein 45, 90 Largillier 90 Marohn 73 Nachtigall 90 Kliemann 65 Lario 8 Marsden 7 Nagaraja 71 Knapp 28, 29 Lasenby 90 Martindale 3rd 18 Nagarkatti 67 Knauf 24 Lasserre 8 Mason 70 Nagasawa 15 Knobloch 24 Lefèvre 108 Matsuo 11 Nagel 58 LeFloch 22 Narasimhan 22, 63 122 Nashed 58 Pedregal 55 Rannacher 22, 23, 57 Saito 11 Nastasi 100 Peiffer 109 Rao 32 Salminen 69 Natke 90 Peletier 55 Raou 104 Samko 62 Nazarov 52 Penel 57 Rassias 55 Samokhin 50 Nerode 86 Perrone 7 Ratiu 7, 8 Samtleben 7 Nesetril 21 Peskir 21 Rebelo 55 Sanchez 55 Neubrander 15, 58 Peternell 24 Recski 10 San Martin 70 Neuenschwander 108 Peters 65 Regbaoui 54 Santos 79 Neunzert 98 Peterson 62 Reimer 80 Satake 11 Neustupa 57 Petsche 102 Reiss 73 Sattinger 24 Nevanlinna 22 Petters 77 Reissig 49 Saul 96 Nicaise 58 Peyre 9 Remmert 33 Sautoy 10 Nickelsen 108 Pfeifer 78 Renn 108 Savaré 22 Nicolo 77, 108 Pflug 24 Rentrop 80 Savkin 67 Nievergelt 36, 63, 91 Picco 70 Rentschler 8 Sbordone 54 Nijmeijer 65 Pier 108 Resnick 73 Schappacher 10 Nikiforov 76 Pierre 62 Retakh 4, 45, 97 Schatz 24 Nikolski 52 Pikulin 78 Reznikov 10 Scheidemann 59 Nikulin 71 Pison 71 Ribet 8 Schiavone 91 Nistor 10 Pittalis 85 Richard 62 Schinazi 73 Nonnenmacher 89 Pittenger 86 Riedwyl 73 Schmeisser 62 Novikov 76 Plamenevskij 52 Rife 108 Schmidt 10 Nowak 80, 83 Podgorski 73 Ringel 32 Schoen 45 Nualart 70 Pohozaev 55, 78 Rivasseau 74, 75, 76, Schoepflin 108 Nussbaumer 90 Pohst 24 77, 78 Scholz 24 Pointcheval 25 Riviere 55 Schönbeck 103 O Polterovich 22, 45 Robertson 23 Schöning 86 Obolashvili 77 Polya 98 Robinson 8 Schoof 6 Obukhov 77 Ponnusamy 58 Roch 51 Schröder 36 Ogden 73 Poonen 8 Rodino 48 Schrohe 49 Ojeda 72 Popov 52 Rodman 40, 51 Schulze 49, 52 Oksendal 70 Pourtallier 83 Rodrigues 54, 79 Schürmann 13 Oort 9 Pragacz 32 Roero 109 Schwartz 107, 108 Oppenheim 73 Prestini 82 Roggenkamp 24 Scriba 100 Ornea 11 Pretlove 90 Rohwer 80 Seade 5, 43 Orsted 7, 8 Preziosi 85 Rollins 58 Seatzu 50 Ortega 8 Puca 85 Romano 84, 85 Segal 8, 10 Ostrowski 108 Puig 10 Roos 10 Seiringer 23 Otal 19 Pulvirenti 85 Rose 42 Sepulveda Teixeira 51 Ovsienko 8 Puri 90 Rosenblum 27 Seregin 54 Putinar 50 Rota 107 Shafrir 54 P Roubicek 79 Shalev 10 Pacard 55 Q Roussarie 10 Shamash 67 Padula 30 Qian 32, 81 Rovenski 78 Shapiro 52 Pagani 55 Quer 8 Rovnyak 27 Shen 97 Palamodov 15 Ruf 54, 55 Shiota 11 Paltanea 63 R Runst 62 Shiryaev 21 Pan 91 Rabinovich 46, 51 Russo 70, 85 Shivamoggi 63 Pandzic 16 Rabinowitz 54 Shmarev 55 Pareschi 85 Rachev 91 S Shnol 96 Parks 27, 63 Radelet-de Grave 109 Sabac 52 Shparlinski 86 Parlar 93 Rainer 90 Sabadini 6, 76 Shultz 17 Parra 78 Rajagopal 85 Saemann 90 Sidoravicius 70 Pasquier 75 Rakotomanana 77 Sagan 11 Siegmund-Schultze 100 Paternain 10 Ramirez Alfonsin 31 Sahai 72 Silbermann 51, 52 Paterson 10 Ramirez Galarza 43 Saichev 82 Silva 66 Pavlov 65 Ramos 55 Silverman 58 Pearson 61 Ran 52, 68 Sinai 24 Pedemonte 107 Rand 78 Sinestrari 54
123 Author and Editor Index
Singer 4, 78 Teolis 82 van Schagen 68 X Skoda 10 ter Elst 8 Varilly 27 Xambó-Descamps 9 Slaughter 78 Tewes 73 Vasilescu 51 Xiao 18 Smirnov 45, 97 Thangavelu 8, 11 Vasilevski 46, 52 Xing 86 Smirnova-Nagnibeda 3 Thas 20 Vasiliev 56 Snaith 9 Thomee 24 Vasilyev 45 Y Soares Ruas 30 Tian 22 Väth 59 Yang 39 Sobczyk 45, 85 Timmesfeld 15 Vázquez 55 Yaroslavsky 78 Sobolevskii 51 Timotin 51 Verdera 9 Yezzi Jr. 84 Sohr 27 Tirao 11 Verdi 80 Yngvason 23 Sohrab 63 Tirozzi 85 Vergara 54 Yor 22 Solovej 23 Tkachenko 51 Vergne 8 Yuesheng 81 Sommen 32, 76 Tobies 98 Villaggio 109 Yushkevich 108 Sommerfeld 76 Todorcevic 26, 31 Vinberg 27 Sone 85 Toft 48 Vinnikov 50, 51, 52 Z Sörensen 73 Tomarelli 53, 55 Vinter 65 Z´ oładek 12 Speck 51 Tomassini 4 Viola 109 Zabarankin 65 Speiser 109 tom Dieck 24 Visintin 80 Zabczyk 65 Spiess 109 Tomei 54 Vizgin 101 Zaccarian 64 Spitkovsky 51 Tondeur 15 Vogan 11 Zaharopol 20 Spring 15 Tonev 12 Voigt 80 Zähle 70 Sprössig 33 Toponogov 43 Vollert 73 Zambrini 70 Srikant 65 Torres del Castillo 77 von Collani 73 Zanghirati 30 Srinivas 42 Tovar 52 Vorobiev 95 Zayed 82 Stachel 101 Travaglini 82 Voronov 25 Zehnder 27 Stanley 11 Trepreau 10 Vorozhtsov 85 Zelevinsky 17 Steeb 59, 90 Triebel 14, 15 Vujanovic 91 Zemanian 91 Steffens 107 Troitsky 31 Zeng 82 Steinbach 80 Troy 55 W Zhang 67 Steinbeisser 90 Truesdell 85 Walczak 13 Zheng 32, 55, 68 Stewart 9, 62 Tschinkel 7, 8, 9 Walk 24 Zimmermann 90, 109 Stöckler 80 Tsinober 32 Wallenborn 100 Zinn-Justin 78 Stojanovic 93 Turaev 9 Wallis 37 Zsido 51 Stollmann 77 Turek 23 Walnut 6, 82 Zuily 55 Stoop 59 Tyrtyshnikov 91 Walter 85 Zuk 3 Storch 70 Wambsganss 77 Zung 5 Storer 91 U Wang 32, 86 Storrer 87 Ullrich 33 Watkins 92 Stoyanov 43 Ulmer Busenhart 22 Weber 31 Strohmer 82 Unterberger 2, 9 Wei 90 Stroock 63 Urbano 54 Weibel 89 Struppa 6, 76 Üstünel 70 Weil 39, 108, 109 Struyf 71 Uvarov 76 Weiss 8 Subbotin 19 Wellner 24, 70 Suris 8 V Wendland 24, 51 Suzuki 54 Vai 81 White 8 Sweers 48 Vaillant 55 Wiehe 87 Szabados 80 Vainsencher 3 Williams 69, 77, 94, 96 Szabo 42 Valente 54 Wisbauer 20 Szajowski 83 Valette 9, 22, 26 Witt 49 Szasz 10 Van Aelst 71 Wolf 4, 11 Szepessy 55 Vanaja 20 Wolff 62 Sznitman 24 van Casteren 69 Wong 48, 50, 51 van der Geer 6, 9, 24 Woracek 50 T van der Mee 50 Wouw 65 Takagi 25 van der Put 8 Woyczynski 69, 82 Takeuchi 7 Van der Waerden 109 Wu 9 Tang 80 van Frankenhuysen 39 Wurzbacher 24 Tanisaki 7 van Lint 24 Wußing 108 Taqqu 73 van Neerven 48 124 Taylor 11, 24, 63 Order form
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