Birkhäuser Mathematics Autumn 2007

1 New and noteworthy books and journals New

Highlights Autumn 2007

2nd ed.

see page 118 see page 39 see page 125

see page 15 see page 43 see page 29

2 Contents

Logic 4 Combinatorics 7 Number Theory / Lattice Theory 9 Algebra and Representation Theory 14 Geometry / Topology 28 Analysis / Operator Theory 39 Differential Equations / Dynamical Systems 63 Systems and Control 77 Probability and Statistics 81 Mathematical Physics / Physics 89 Numerical and Computational Mathematics / Applications 94 Of general interest 118

History of Science 121

Titel in deutscher Sprache / German-language titles 130

Series Index 139 Series in Pure and Applied Mathematics 140 Series in History of Science 155

Journals 158

Authors and Editors Index 164

Contact Information 168

3 Logic

2nd ed.

Completeness Theory for Logica Universalis Propositional Logics Towards a General Theory of Logic Pogorzelski, W.A., University of Bialystok, Beziau, J.-Y., University of Neuchâtel, Poland / Wojtylak, P., Silesian University Switzerland (Ed.) Katowice, Poland Universal Logic is not a new logic, but a SUL – Studies in Universal Logic general theory of logics, considered as mathematical structures. The name was Due in December 2007 introduced about ten years ago, but the subject is as old as the beginning of modern The book develops the theory of one logic: Alfred Tarski and other Polish logicians of the most important notions in the such as Adolf Lindenbaum developed a methodology of formal systems. Particularly, general theory of logics at the end of the completeness plays an important role in 1920s based on consequence operations propositional logic where many variants and logical matrices. The subject was of the notion have been defined. Global revived after the flowering of thousands of variants of the notion mean the possibility new logics during the last thirty years: there of getting all correct and reliable schemata was a need for a systematic theory of logics of inference. Its local variants refer to the to put some order in this chaotic multiplicity. notion of truth given by some semantics. This book contains recent works on A uniform theory of completeness in its universal logic by first-class researchers general and local meaning is carried out and from all around the world. The book is full it generalizes and systematizes some variety of new and challenging ideas that will guide of the notion of completeness such as Post- the future of this exciting subject. It will be completeness, structural completeness of interest for people who want to better and many others. This approach allows understand what logic is. Tools and concepts also for a more profound view upon some are provided here for those who want to essential properties (e.g. two-valuedness) of study classes of already existing logics or propositional systems. For these purposes, want to design and build new ones. the theory of logical matrices, and the theory 2007. 246 p. Softcover of consequence operations is exploited. EUR 49.90 / CHF 78.– / ISBN 978-3-7643-8353-4

2008. Approx. 180 p. Softcover EUR 49.90 / CHF 85.– / ISBN 978-3-7643-8517-0

4 A Beginner's Guide to
 Discrete Mathematics Wallis, W.D.

"Wallis's book on discrete mathematics is a resource for an introductory course in a subject fundamental to both mathematics and computer science, a course that is expected not only to cover certain specific Universal Algebraic Logic topics but also to introduce students to Dedicated to the Unity of Science important modes of thought specific to each Andréka, H. / Németi, I. / Sain, I., all discipline… Lower-division undergraduates Hungarian Academy of Sciences, Budapest, through graduate students." Choice Hungary 2003. 352 p. 43 illus. Softcover EUR 48.– / CHF 85.– / ISBN 978-0-8176-4269-3 SUL – Studies in Universal Logic A Beginner's Guide to
 Due in January 2008 Finite Mathematics For Business, Management, and the The three main themes of this book are (i) universal logic and the question of what Social Sciences logic is, (ii) universal algebraic logic and Wallis, W.D. duality theories between the world of logics and the world of algebra, and (iii) algebraic "Requiring little mathematical background logic proper including algebras of relations beyond high school algebra, the text will be of various ranks, Tarski's cylindric algebras, especially useful for business and liberal arts relation algebras, Halmos' polyadic algebras majors. Its straightforward treatment of the and other kinds of algebras of logic. essential concepts in finite mathematics will appeal to a wide audience of students and Besides Tarskian algebraizations of teachers." Zentralblatt MATH logics, category theoretical perspectives are also touched upon. Following the 2004. XII, 354 p. Softcover EUR 44.90 / CHF 75.– / ISBN 978-0-8176-4270-9 Tarskian tradition, besides the connections between logic and algebra, related logical connections with geometry and eventually Foundations of Logic and
 spacetime geometry leading up to relativity Mathematics are also part of the perspective of the Applications to Computer Science and book. An introductory chapter contains the Cryptography necessary algebraic basics, this can be used Nievergelt, Y. in its own right as a quick introduction to universal algebra. "The book under review covers the topics 2008. Approx. 260 p. Softcover which can usually be found in textbooks EUR 59.90 / CHF 105.– / ISBN 978-3-7643-8505-7 of discrete mathematics for students in computer science or mathematics … as well as more advanced topics in mathematical logic ... While the range of topics is relatively standard, the way they are presented is highly original. ...This is a valuable reference 5 Logic

text and a useful companion for anybody presents one or more major theorems with wondering how basic mathematical concepts detailed and nontrivial proofs, and states can be rigorously developed within set without proof one or two other important theory." Mathematical Reviews results. At the end of every chapter is an ample collection of exercises." 2001. XVI, 415 p. 22 illus. Hardcover Mathematical Reviews EUR 84.– / CHF 140.– / ISBN 978-0-8176-4249-5 "...surprisingly, despite the extremely basic nature of the subject, this monograph has Handbook of Logic and Proof essentially no competition. But fortunately Techniques for Computer Science the first entry proves a gem. Undergraduate mathematics and computer science Krantz, S. G. majors will find the first chapters offering background that will serve them well in "This is really what it promises to be – a good many courses. The rest of the book, which handbook: supple, self-contained, providing features many open problems, constitutes the necessary and sufficient working an accessible and stimulating invitation to resources … it is more than [one] expect[s]: research … Highly recommended." Choice the rigor of usefulness and conciseness 2003. XVII, 391 p. 35 illus. Hardcover exceeds or equals … the pleasure of reading EUR 68.– / CHF 120.– / ISBN 978-0-8176-4128-3 it." Zentralblatt MATH

2002. XIX, 245 p. 16 illus. Hardcover Proofs and Fundamentals
 EUR 54.90 / CHF 90.– / ISBN 978-0-8176-4220-4 A First Course in Abstract Mathematics In Search of Infinity Bloch, E. D. Vilenkin, N.Y. "Perhaps the book’s greatest strength is the "In fewer than 150 pages Vilenkin has author’s zeal and skill for helping students packed a whole course on infinity: its history, write mathematics better. Careful guidance philosophy, and mathematical theory. Abe is given throughout the book. Basic issues Shenitzer's translation is very smooth and like not abusing equal signs are treated natural... When fractals have gone out of explicitly. Attention is given to even relatively style, and chaos is no longer the flavor of the small issues, like not placing a mathematical month, some kind of 'geometric set theory' or 'set-theoretic geometry' may very well symbol directly after a punctuation mark. remain, and In Search of Infinity may still be Throughout the book, theorems are often the best introduction to it." followed first by informative ‘scratch work’ American Mathematical Monthly and only then by proofs. Thus students can see many examples of what they should SßJV+DUGFRYHU EUR 38.– / CHF 48.– / ISBN 978-0-8176-3819-1 think, what they should write, and how these are usually not the same." MAA Online Ordered Sets 2000. XXI, 424 p. Hardcover
 EUR 48.– / CHF 78.– / ISBN 978-0-8176-4111-5 An Introduction Schröder, B. Set Theory "This book is a most successful introduction Centre de Recerca Matemàtica to the theory of ordered sets. The range of Barcelona, 2003-2004 topics covered is wide yet the exposition is Bagaria, J. / Todorcevic, S. (Eds) self-contained … The focus on open problems TM – Trends in Mathematics makes for enthusiastic writing and provides continuity among the diverse topics that 2006. VI, 406 p. Hardcover are discussed … in each chapter the author EUR 98.– / CHF 158.– / ISBN 978-3-7643-7691-8 6 proves a solid collection of basic results, Combinatorics



2nd ed.

A Beginner's Guide to Walks on Ordinals and Their Graph Theory Characteristics Wallis, W.D., Southern Illinois University, Todorcevic, S., Université Paris VII - CNRS, Carbondale, IL, USA France and University of Toronto, Canada Graph theory continues to be one of PM – Progress in Mathematics, Vol. 263 the fastest growing areas of modern Due in September 2007 mathematics because of its wide applicability in such diverse disciplines as computer The walks on ordinals and analysis of their science, engineering, chemistry, management characteristics is a subject matter started science, social science, and resource by the author some twenty years ago in planning. Graphs arise as mathematical order to disprove a particular extension of models in these fields, and the theory of the Ramsey theorem. A further analysis graphs provides a spectrum of methods of has shown however that the resulting proof. method is quite useful in detecting critical mathematical objects in contexts where This concisely written textbook is intended only rough classifications are possible. For for an introductory course in graph theory example, many of the characteristics of for undergraduate mathematics majors walks on countable ordinals lead naturally or advanced undergraduate and graduate to uncountable linear orderings whose students from the many fields that benefit Cartesian squares can be covered by from graph-theoretic applications. countably many chains which turns out to be This second edition includes new chapters on critical objects in the category of all linear labeling and communications networks and orderings. Recently the method has lead us small-worlds, as well as expanded beginner's to solutions to some other problems in a material in the early chapters, including more variety of disciplines such as for example a examples, exercises, hints and solutions natural extension of the unconditional basic to key problems. Many additional changes, sequence problem from the Banach space improvements, and corrections resulting theory or the famous L-space problem from from classroom use and feedback have been topology. added throughout. With a distinctly applied "I strongly recommend that this important flavor, this gentle introduction to graph theory book should be published. It will be a "must consists of carefully chosen topics to develop read" for anyone working in combinatorial set graph-theoretic reasoning for a mixed theory, and should also be of great interest audience. to set-theoretic topologists and Banach 2007. XX, 260 p. 160 illus. Softcover space theorists." Prof. James W. Cummings, EUR 34.90 / CHF 49.90 / ISBN 978-0-8176-4484-0 Carnegie Mellon University, Pittsburgh, USA, from a review of the draft

2007. Approx. 350 p. Hardcover EUR 59.90 / CHF 105.– / ISBN 978-3-7643-8528-6 7 Combinatorics

102 Combinatorial Problems
 Combinatorics and
 From the Training of the USA Commutative Algebra IMO Team Stanley, R. P. Andreescu, T. / Feng, Z. 2nd ed. PM – Progress in Mathematics, Vol. 41

"Each solution is given in full, and often 1996. VI, 164 p. Softcover with alternative versions as well. Some EUR 62.– / CHF 98.– / ISBN 978-0-8176-4369-0 solutions introduce standard combinatorial tools like inclusion-exclusion, generating functions, and graphs. Others stray into probability, number theory, complex numbers, inequalities and functional equations. The book will be useful for teachers looking for challenging problems for able students and for those preparing for Olympiads." The Mathematical Gazette

2003. XII, 115 p. 40 illus. Softcover EUR 28.– / CHF 42.– / ISBN 978-0-8176-4317-1

A Path to Combinatorics for
 Undergraduates Counting Strategies Andreescu, T. / Feng, Z.

"This book is an introduction to counting strategies in combinatorial theory. The main mathematical ideas are carefully worked into organized, challenging, and instructive examples given in the nine chapters of this book. In the last chapter we find 111 problems (without solutions). The greater part of them are from various mathematical contests. The…experience of the authors in preparing students for various mathematical competitions allowed them to present a big collection of beautiful problems. By studying this book, undergraduates will be well-equipped to further their knowledge in more abstract combinatorics and its related fields." MAA Online

2004. XVIII, 228 p. Softcover EUR 36.– / CHF 58.– / ISBN 978-0-8176-4288-4

8 Number Theory / Lattice Theory



104 Number Theory Problems Algebraic Geometry and From the Training of the USA IMO Team Number Theory Andreescu, T., The University of Texas at In Honor of Vladimir Drinfeld's Dallas, Richardson, TX, USA / Andrica, D., 50th Birthday "Babes-Bolyai" University, Cluj-Napoca, Ginzburg, V., University of Chicago, IL, USA Romania / Feng, Z., Phillips Exeter Academy, (Ed.) Exeter, NH, USA PM – Progress in Mathematics, Vol. 253 This challenging problem book by renowned US Olympiad coaches, mathematics teachers, One of the most creative mathematicians and researchers develops a multitude of of our times, Vladimir Drinfeld received the problem-solving skills needed to excel in Fields Medal in 1990 for his groundbreaking mathematical contests and research in contributions to the Langlands program and number theory. Offering inspiration and to the theory of quantum groups. intellectual delight, the problems throughout the book encourage students to express their These ten original articles by prominent ideas, conjectures, and conclusions in writing. mathematicians, dedicated to Drinfeld on Applying specific techniques and strategies, the occasion of his 50th birthday, broadly readers will acquire a solid understanding reflect the range of Drinfeld's own interests of the fundamental concepts and ideas of in algebra, algebraic geometry, and number number theory. theory. The presentation begins by familiarizing 2006. XVIII, 643 p. 19 illus. Hardcover EUR 108.– / CHF 172.– / ISBN 978-0-8176-4471-0 students with typical examples that illustrate central themes, followed by numerous carefully selected problems and extensive discussions of their solutions. The book engages students in creative thinking and stimulates them to express their comprehension and mastery of the material beyond the classroom. 104 Number Theory Problems is a valuable resource for advanced high school students, undergraduates, instructors, and mathematics coaches preparing to participate in mathematical contests and those contemplating future research in number theory and its related areas.

2007. XII, 204 p. Softcover EUR 38.– / CHF 62.– / ISBN 978-0-8176-4527-4 9 Number Theory / Lattice Theory

2nd ed.

General Lattice Theory Graph Theory in Paris Grätzer, G., University of Manitoba, Proceedings of a Conference in Memory Winnipeg, MB, Canada of Claude Berge Bondy, A., Université Claude Bernard Lyon 1, In this present edition, the work has been France / Fonlupt, J., Université Paris VI, significantly updated and expanded. It France / Fouquet, J.-L., Laboratoire contains an extensive new bibliography of d'Informatique Fondamentale d'Orléans, 530 items and has been supplemented by France / Fournier, J.-C., Université Paris VI, eight appendices authored by an exceptional France / Ramírez Alfonsín, J.L., Université group of experts. Paris VI, France (Eds) The first appendix, written by the author, briefly reviews developments in lattice TM – Trends in Mathematics theory, specifically, the major results of the last 20 years and solutions of the In July 2004, a conference on graph theory problems proposed in the first edition. The was held in Paris in memory of Claude other subjects concern distributive lattices Berge, one of the pioneers of the field. The and duality (Brian A. Davey and Hilary A. event brought together many prominent Priestley), continuous geometries (Friedrich specialists on topics such as perfect graphs Wehrung), projective lattice geometries and matching theory, upon which Claude (Marcus Greferath and Stefan E. Schmidt), Berge's work has had a major impact. This varieties (Peter Jipsen and Henry Rose), volume includes contributions to these and free lattices (Ralph Freese), formal concept other topics from many of the participants. analysis (Bernhard Ganter and Rudolf Wille), 2007. VI, 389 p. 83 illus. Hardcover and congruence lattices (Thomas Schmidt in EUR 128.– / CHF 199.– / ISBN 978-3-7643-7228-6 collaboration with the author).

2007. XIX, 663 p. Softcover EUR 74.90 / CHF 129.– / ISBN 978-3-7643-6996-5

10


1st ed. 1987. 2nd printing

Number Theory Number Theory An Introduction via the Distribution of An approach through history from Primes Hammurapi to Legendre Fine, B., Fairfield University, Fairfield, Weil, A. CT, USA / Rosenberger, G., University of MBC – Modern Birkhäuser Classics Dortmund, Germany Number Theory or arithmetic, as some This book provides an introduction and prefer to call it, is the oldest, purest, liveliest, overview of number theory based on the most elementary yet sophisticated field distribution and properties of primes. This of mathematics. Indeed some of the most unique approach provides both a firm complex conventions of the mathematical background in the standard material as mind have evolved from the study of basic well as an overview of the whole discipline. problems of number theory. All the essential topics are covered: fundamental theorem of arithmetic, theory André Weil, one of the outstanding of congruences, quadratic reciprocity, contributors to number theory, has written an arithmetic functions, and the distribution historical exposition of this subject; his study of primes. Analytic number theory and examines texts that span roughly thirty-six algebraic number theory both receive a solid centuries of arithmetical work – from an introductory treatment. Old Babylonian tablet, datable to the time of Hammurapi to Legendre’s Essai sur la Théorie The book’s user-friendly style, historical des Nombres (1798). Motivated by a desire context, and wide range of exercises from to present the substance of his field to the simple to quite difficult (with solutions and educated reader, Weil employs an historical hints provided for select ones) make it ideal approach in the analysis of problems and for self study as well as classroom use. evolving methods of number theory and Intended for upper level undergraduates their significance within mathematics. In and beginning graduate students, the only the course of his study Weil accompanies prerequisites are a basic knowledge of the reader into the workshops of four major calculus, multivariable calculus, and some authors of modern number theory (Fermat, linear algebra. All necessary concepts from Euler, Lagrange and Legendre) and there he abstract algebra and complex analysis are conducts a detailed and critical examination introduced in the book. of their work. 2007. XIII, 342 p. 12 illus. Softcover Enriched by a broad coverage of intellectual EUR 48.– / CHF 78.– / ISBN 978-0-8176-4472-7 history, Number Theory represents a major contribution to the understanding of our cultural heritage.

2007. XXII, 376 p. 18 illus. Softcover EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4565-6 11 Number Theory / Lattice Theory

Algebraic K-Groups as Galois Modules Snaith, V. P. PM – Progress in Mathematics, Vol. 206

2002. X, 309 pp. Hardcover EUR 108.– / CHF 178.– / ISBN 978-3-7643-6717-6

An Introduction to the Topics in the Theory of Algebraic Langlands Program
 Function Fields Bernstein, J. / Gelbart, S. (Eds) Villa Salvador, G.D., CINVESTAV del IPN, "The six chapters of this monograph give Mexico City, Mexico a broad, user-friendly introduction to the Langlands program, that is, the theory of MTA – Mathematics: Theory & Applications automorphic forms and its connection with the theory of L-functions and other fields of The fields of algebraic functions of mathematics. First-year graduate students one variable appear in several areas of and researchers will benefit from this mathematics: complex analysis, algebraic beautiful text." Zentralblatt MATH geometry, and number theory. This text adopts the latter perspective by applying an 2003. VIII, 281 p. Softcover EUR 38.– / CHF 62.– / ISBN 978-0-8176-3211-3 arithmetic-algebraic viewpoint to the study of function fields as part of the algebraic theory of numbers. The examination explains Complex Numbers from A to ...Z both the similarities and fundamental Andreescu, T. / Andrica, D.
 differences between function fields and "It is for the readers who seek to harness number fields, including many exercises and new techniques and to polish their mastery examples to enhance understanding and of the old ones. It is for somebody who made motivate further study. it their business to be solving problems on a The only prerequisites are a basic regular basis. These readers will appreciate knowledge of field theory, complex analysis, the scope of the methodological detail the and some commutative algebra. The authors of the book bring to their attention, book can serve as a text for a graduate they will appreciate the power of the course in number theory or an advanced methods and the intricacy of the problems." graduate topics course. Alternatively, MAA Reviews chapters 1-4 can serve as the base of an 2005. XI, 321 p. 82 illus. Softcover introductory undergraduate course for EUR 48.– / CHF 78.– / ISBN 978-0-8176-4326-3 mathematics majors, while chapters 5-9 can support a second course for advanced Cryptographic Applications of undergraduates. Researchers interested Analytic Number Theory in number theory, field theory, and their Complexity Lower Bounds and interactions will also find the work an Pseudorandomness excellent reference. Shparlinski, I. 2006. XVI, 652 p. 20 illus. Hardcover EUR 78.– / CHF 128.– / ISBN 978-0-8176-4480-2 PCS – Progress in Computer Science and Applied Logic, Vol. 22

2003. VIII, 411 p. Hardcover EUR 99.– / CHF 169.– / ISBN 978-3-7643-6654-4 12 Diophantine Equations and The Congruences of
 Power Integral Bases in Algebraic a Finite Lattice Number fields A Proof-by-Picture Approach Gaal, I. Grätzer, G.

2002. XVII, 184 p. Softcover EUR 59.90 / CHF 99.– / ISBN 978-0-8176-4271-6 "The book is self-contained, with many detailed proofs presented that can be followed step-by-step. [I]n addition to Near Polygons giving the full formal details of the proofs, De Bruyn, B. the author chooses a somehow more pedagogical way that he calls Proof- FM – Frontiers in Mathematics by-Picture, somehow related to the combinatorial (as opposed to algebraic) "This is an important book. It fills a gap in the nature of many of the presented results. literature ... The author is presently the major I believe that this book is a much-needed authority on this topic. He is indeed the right tool for any mathematician wishing a gentle author for such a book." (taken from reviews introduction to the field of congruences of the book) representations of finite lattices, with emphasis on the more 'geometric' aspects." 2006. XI, 263 p. Softcover EUR 38.– / CHF 60.– / ISBN 978-3-7643-7552-2 Mathematical Reviews 2006. XXII, 282 p. 110 illus. Hardcover Prime Numbers and Computer EUR 48.– / CHF 72.– / ISBN 978-0-8176-3224-3 Methods for Factorization Riesel, H. The Problem of Integrable 2nd. ed. Discretization: PM – Progress in Mathematics, Vol. 126 Hamiltonian Approach "Here is an outstanding technical monograph Suris, Y. B. on recursive number theory and its numerous PM – Progress in Mathematics, Vol. 219 automated techniques. It successfully passes a critical milestone not allowed to many 2003. XXI, 1070 p. Hardcover books, viz., a second edition. Many good EUR 149.– / CHF 249.– / ISBN 978-3-7643-6995-8 things have happened to computational number theory during the ten years since Value Distribution Theory Related the first edition appeared and the author to Number Theory includes their highlights in great depth. Hu, P.–C. / Yang, C.–C. Several major sections have been rewritten and totally new sections have been added. 2006. XI, 543 p. Hardcover EUR 98.– / CHF 158.– / ISBN 978-3-7643-7568-3 The new material includes advances on applications of the elliptic curve method, uses of the number field sieve, and two new appendices on the basics of higher algebraic number fields and elliptic curves. Further, the table of prime factors of Fermat numbers has been significantly up-dated." Zentralblatt MATH

1994. XVI, 464 p. Hardcover EUR 109.– / CHF 179.– / ISBN 978-0-8176-3743-9 13 Algebra and Representation Theory

An Introduction to the Heisenberg An Invitation to Quantum Group and the Sub-Riemannian Cohomology Isoperimetric Problem Kontsevich's Formula for Rational Capogna, L., University of Arkansas, Plane Curves Fayetteville, AR, USA / Danielli, D., Purdue Kock, J., Universitat Autònoma de University, West Lafayette, IN, USA / Barcelona, Spain / Vainsencher, I., Pauls, S.D., Dartmouth College, Hanover, Universidade Federal de Minas Gerais, NH, USA / Tyson, J.T., University of Illinois, Pampulha - Belo Horizonte, Brazil Urbana-Champaign, IL, USA PM – Progress in Mathematics, Vol. 249 PM – Progress in Mathematics, Vol. 259 This book is an elementary introduction This book provides an introduction to the to stable maps and quantum cohomology, basics of sub-Riemannian differential starting with an introduction to stable geometry and geometric analysis in the pointed curves, and culminating with a proof Heisenberg group, focusing primarily on of the associativity of the quantum product. the current state of knowledge regarding The viewpoint is mostly that of enumerative Pierre Pansu's celebrated 1982 conjecture geometry, and the red thread of the regarding the sub-Riemannian isoperimetric exposition is the problem of counting rational profile. It presents a detailed description plane curves. Emphasis is given throughout of Heisenberg submanifold geometry and the exposition to examples, heuristic geometric measure theory, which provides discussions, and simple applications of an opportunity to collect for the first time the basic tools to best convey the intuition in one location the various known partial behind the subject. The book demystifies results and methods of attack on Pansu's these new quantum techniques by showing problem. As such it serves simultaneously how they fit into classical algebraic geometry. as an introduction to the area for graduate students and beginning researchers, and Some familiarity with basic algebraic as a research monograph focused on the geometry and elementary intersection theory isoperimetric problem suitable for experts in is assumed. Each chapter concludes with the area. some historical comments and an outline of key topics and themes as a guide for further 2007. XVI, 223 p. Hardcover study, followed by a collection of exercises. EUR 44.90 / CHF 75.– / ISBN 978-3-7643-8132-5 The book will prove equally useful to graduate students in the classroom setting as to researchers in geometry and physics who wish to learn about the subject.

2007. XII, 159 p. Hardcover EUR 42.– / CHF 68.– / ISBN 978-0-8176-4456-7 14


Artinian Modules over Group Rings Basic Algebra Kurdachenko, L.A., Dnipropetrovsk National Knapp, A. W., State University of New York, University, Ukraine / Otal, J., University of Stony Brook, NY, USA Zaragoza, Spain / Subbotin, I.Y., National University, Los Angeles, CA, USA COR - Cornerstones

FM – Frontiers in Mathematics Basic Algebra and Advanced Algebra systematically develop concepts and This book highlights important tools in algebra that are vital to every developments on artinian modules over mathematician, whether pure or applied, group rings of generalized nilpotent groups. aspiring or established. Along with traditional topics such as direct The exposition proceeds from the particular decompositions of artinian modules, criteria to the general, often providing examples of complementability for some important well before a theory that incorporates modules, and criteria of semisimplicity of them. The presentation includes blocks of artinian modules, it also focuses on recent problems that introduce additional topics advanced results on these matters. and applications to science and engineering The theory of modules over groups has to guide further study. Many examples and its own specific character that plays an hundreds of problems are included, along imperative role here and, for example, with a separate 90-page section giving allows a significant generalization of the hints or complete solutions for most of the classical Maschke Theorem on some problems. classes of infinite groups. Conversely, it Basic Algebra presents the subject matter leads to establishing direct decompositions in a forward-looking way that takes into of artinian modules related to important account its historical development. It natural formations, which, in turn, find very is suitable as a text in a two-semester efficient applications in infinite groups. advanced undergraduate or first-year As self-contained as possible, this book will graduate sequence in algebra, possibly be useful for students as well as for experts supplemented by some material from in group theory, ring theory, and module Advanced Algebra at the graduate level. It theory. requires of the reader only familiarity with matrix algebra, an understanding of the 2007. XII, 247 p. Softcover EUR 42.– / CHF 68.– / ISBN 978-3-7643-7764-9 geometry and reduction of linear equations, and an acquaintance with proofs.

2006. XXII, 717 p. 42 illus. Hardcover EUR 58.- / CHF 92.- / ISBN 978-0-8176-3248-9

15 Algebra and Representation Theory

Diophantine Geometry Functional Identities Zannier, U., Scuola Normale Superiore, Pisa, Bresar, M., University of Maribor, Slovenia / Italy (Ed.) Chebotar, M.A., Kent State University, USA / Martindale 3rd, W.S., University of Publications of the Scuola Normale Massachusetts, Amherst, MA, USA Superiore / CRM Series, Vol. 4 FM – Frontiers in Mathematics This book contains research articles on Diophantine Geometry, written by The theory of functional identities (FIs) is participants of a research program held at a relatively new one - the first results were the Ennio De Giorgi Mathematical Research published at the beginning of the 1990s, and Center in Pisa, Italy, during the period this is the first book on this subject. An FI April – July 2005. The authors are eminent can be informally described as an identical experts in the field. Several subfields of the relation involving arbitrary elements in an main topic are presented; the volume thus is associative ring together with arbitrary particularly useful to get a broad overview of (unknown) functions. The goal of the general recent research developments. FI theory is to describe these functions, or, when this is not possible, to describe the 2007. Approx. 410 p. Softcover EUR 25.– / CHF 40.– / ISBN 978-88-7642-206-5 structure of the ring admitting the FI in question. The book 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. Perhaps the most illuminating example of the applicability are solutions of long-standing Herstein’s conjectures on Lie homomorphisms and Lie derivations - in the proofs practically the entire FI theory is used.

2007. Approx. 284 p. Softcover EUR 39.90 / CHF 65.– / ISBN 978-3-7643-7795-3 16 Geometric Group Theory L'isomorphisme entre les tours de Geneva and Barcelona Conferences Lubin-Tate et de Drinfield Arzhantseva, G.N., Université de Genève, Fargues, L., Laboratoire de Mathématiques, Switzerland / Bartholdi, L., Swiss Federal Orsay, France / Genestier, A., Laboratoire de Institute of Technology, Lausanne / Mathématiques, Orsay, France / Lafforgue, V., Burillo, J., Universitat Politècnica de Université Paris 6, France Catalunya, Barcelona, Spain / Ventura, E., Universitat Politècnica de Catalunya, PM – Progress in Mathematics, Vol. 262 Barcelona, Spain (Eds) Due in September 2007 TM – Trends in Mathematics This book gives a complete and thorough This volume assembles research papers proof of the existence of an equivariant in 'geometric' and 'combinatorial' group isomorphism between Lubin-Tate and theory. This wide area may be defined as the Drinfeld towers in infinite level. The 'study of those groups that are defined by result is established in equal and inequal their action on a combinatorial or geometric characteristics. Moreover, the book contains object', in the spirit of Klein's programme. as an application the proof of the equality The contributions range over a wide between the equivariant cohomology of both spectrum: limit groups, groups associated towers, a result that has applications to with equations, with cellular automata, the local Langlands correspondence. Along their structure as metric objects, their the proof background and complements decomposition, etc. Their common are given on the structure of both moduli denominator is the language of group theory, spaces, p-divisible formal groups and p-adic used to express and solve problems ranging rigid analytic geometry. from geometry to logic. 2007. Approx. 400 p. Hardcover EUR 59.90 / CHF 105.– / ISBN 978-3-7643-8455-5 2007. Approx. 300 p. Hardcover EUR 109.– / CHF 179.– / ISBN 978-3-7643-8411-1

17 Algebra and Representation Theory


 Mathematical Bridges

Mathematical Bridges Quaternions, Clifford Algebras and Andreescu, T., University of Texas at Dallas, Relativistic Physics Richardson, TX, USA / Mortici, C., University Girard, P.R., INSA Lyon, France of Targoviste, Romania The use of Clifford algebras in mathematical Due in February 2008 physics and engineering has grown rapidly in recent years. Whereas other Building bridges between classical results developments have privileged a geometric and contemporary nonstandard problems, approach, the author uses an algebraic Mathematical Bridges embraces important approach which can be introduced as a topics in analysis and algebra from a tensor product of quaternion algebras and problem-solving perspective. Blending old provides a unified calculus for much of and new techniques, tactics and strategies physics. used in solving challenging mathematical problems, readers will discover numerous The book proposes a pedagogical genuine mathematical gems throughout introduction to this new calculus, based that will heighten their appreciation of the on quaternions, with applications inherent beauty of mathematics. mainly in special relativity, classical electromagnetism and general relativity. The Most of the problems are original to volume is intended for students, researchers the authors and are intertwined in a and instructors in physics, applied well-motivated exposition driven by mathematics and engineering interested in representative examples. The book this new quaternionic Clifford calculus. is structured to assist the reader in formulating and proving conjectures, as ;,,SßJV6RIWFRYHU EUR 29.90 / CHF 49.90 / ISBN 978-3-7643-7790-8 well as devising solutions to important mathematical problems by making connections between various concepts and ideas from different areas of mathematics.

2008. Approx. 300 p. 20 illus. Softcover Approx. EUR 38.50 / CHF 63.50 / ISBN 978-0-8176-4394-2

18


Representation Theory and The Geometry of the Word Automorphic Forms Problem for Finitely Generated Kobayashi, T., Kyoto University, Japan / Groups Schmid, W., Harvard University, Cambridge, Brady, N., University of Oklahoma, Norman, MA, USA / Yang, J.-H., Inha University, OK, USA / Riley, T., Cornell University, Ithaca, Incheon, Korea (Eds) NY, USA / Short, H., Université de Provence, Marseille, France PM – Progress in Mathematics, Vol. 255 ACM – Advanced Courses in Mathematics - Due in October 2007 CRM Barcelona

This volume uses a unified approach to The origins of the word problem are in representation theory and automorphic group theory, decidability and complexity, forms. The invited papers, written by leading but, through the vision of M. Gromov and mathematicians in related fields, track the language of filling functions, the topic recent progress in the ever expanding fields now impacts the world of large-scale of representation theory and automorphic geometry, including topics such as soap forms, and their association with number films, isoperimetry, coarse invariants and theory and differential geometry. Both curvature. graduate students and researchers will find inspiration in this volume. The first part introduces van Kampen diagrams in Cayley graphs of finitely 2007. Approx. 310 p. 10 illus. Hardcover generated, infinite groups; it discusses Approx. EUR 68.– / CHF 112.– / ISBN 978-0-8176-4505-2 the van Kampen lemma, the isoperimetric functions or Dehn functions, the theory of small cancellation groups and an introduction to hyperbolic groups. The second part is dedicated to Dehn functions, negatively curved groups, in particular, CAT(0) groups, cubings and cubical complexes. In the last part, filling functions are presented from geometric, algebraic and algorithmic points of view; it is discussed how filling functions interact, and applications to nilpotent groups, hyperbolic groups and asymptotic cones are given. Many examples and open problems are included.

2007. VII, 206 p. Softcover EUR 28.– / CHF 44.– / ISBN 978-3-7643-7949-0 19 Algebra and Representation Theory

1st ed. 1990. 2nd printing

The Grothendieck Festschrift Grothendieck’s own interests, including: Volume I functional analysis, algebraic geometry, algebraic topology, number theory, A Collection of Articles Written in Honor representation theory, K-theory, category of the 60th Birthday of Alexander theory, and homological algebra. Grothendieck 2007. XX, 498 p. 13 illus. Softcover Cartier, P., Institut des Hautes Études EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4566-3 Scientifiques, Bures-sur-Yvette, France / Illusie, L., Université de Paris-Sud, Orsay, France / Katz, N.M., Princeton University, The Grothendieck Festschrift Princeton, NJ, USA / Laumon, G., Université de Paris-Sud, Orsay, France / Manin, Y.I., Volume II

Max-Planck Institut für Mathematik, 2007. VIII, 563 p. 7 illus. Softcover Bonn, Germany / Ribet, K.A., University of EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4567-0 California, Berkeley, CA, USA (Eds)

MBC – Modern Birkhäuser Classics The Grothendieck Festschrift The many diverse articles presented in Volume III

these three volumes, collected on the 2007. VII, 495 p. Softcover occasion of Alexander Grothendieck’s EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4568-7 sixtieth birthday and originally published in 1990, were offered as a tribute to one of the world’s greatest living mathematicians. Grothendieck changed the very way we think about many branches of mathematics. Many of his ideas, revolutionary when introduced, now seem so natural as to have been inevitable. Indeed, it is difficult to fully grasp the influence his vast contributions to modern mathematics have subsequently had on new generations of mathematicians.

Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. Topics addressed by these top- notch contributors match the breadth of

20 103 Trigonometry Problems Coxeter Matroids

 From the Training of the Borovik, A. V. / Gelfand, I. M. / USA IMO Team White, N. Andreescu, T. / Feng, Z. PM – Progress in Mathematics, Vol. 216 2005. XII, 214 p. 79 illus. Softcover EUR 48.– / CHF 78.– / ISBN 978-0-8176-4334-8 "...this accessible and well-written book, intended to be 'a cross between Algebra
 a postgraduate text and a research Gelfand, I.M. / Shen, A. monograph,' is well worth reading and makes a good case for doing matroids with mirrors." "Were Algebra to be used solely for SIAM Review supplementary reading, it could be wholeheartedly recommended to any high 2003. XXII, 264 p. Hardcover EUR 108.– / CHF 168.– / ISBN 978-0-8176-3764-4 school student of any teacher . . . In fact, given the long tradition of mistreating algebra as a disjointed collection of techniques in Dirac Operators in Representation the schools, there should be some urgency Theory in making this book compulsory reading for Huang, J.–S. / Pandzic, P. anyone interested in learning mathematics." The Mathematical Intelligencer MTA – Mathematics: Theory & Applications

1st ed. 1993. Corr. 2nd printing 2006. X, 199 p. Hardcover 2002. 27 illus. Softcover EUR 52.– / CHF 82.– / ISBN 978-0-8176-3218-2 EUR 22.– / CHF 32.– / ISBN 978-0-8176-3677-7 Discrete Groups, Expanding Analysis on Lie Groups with
 Graphs and Invariant Measures Polynomial Growth Lubotzky, A. Dungey, N. / ter Elst, A.F.M. / Robinson, D. W. PM – Progress in Mathematics, Vol. 125 PM – Progress in Mathematics, Vol. 214 Award-winning monograph of the "The book is written in a very concise, Ferran Sunyer i Balaguer Prize 1993. clear, and elegant way. Misprints are rare… 1994. XI, 195 p. Hardcover There are no exercises, but the book is well EUR 46.– / CHF 74.– / ISBN 978-3-7643-5075-8 equipped with examples, which help to understand the assertions and are, as a rule, Discriminants, Resultants, and of independent interest. To sum up, the text Multidimensional Determinants presents an extremely interesting account of Gelfand, I. M. / Kapranov, M. M. / some of the most important developments in Zelevinsky, A. V. the chosen direction." Mathematical Reviews

2003. VIII, 312 p. Hardcover MTA – Mathematics: Theory & Applications EUR 98.– / CHF 148.– / ISBN 978-0-8176-3225-0 1994. X, 523 p. Hardcover EUR 118.– / CHF 188.– / ISBN 978-0-8176-3660-9

21 Algebra and Representation Theory

Dynamics of Foliations, Groups Infinite Dimensional Algebras and and Pseudogroups Quantum Integrable Systems Walczak, P. Kulish, P. P. / Manojlovic, N. / Samtleben, H. (Eds) MMN – Monografie Matematyczne, Vol. 64 PM – Progress in Mathematics, Vol. 237 "The classical theory of dynamical systems 2005. VIII, 263 p. Hardcover has been greatly generalized to the rich EUR 89.90 / CHF 149.– / ISBN 978-3-7643-7215-6 context of foliations and actions of groups and pseudogroups on spaces. The book Infinite Groups: Geometric, under review expounds on this theory in Combinatorial and Dynamical considerable detail.... Much of the material in this book is pertinent Aspects to applied mathematics.... Experts in control Bartholdi, L. / Ceccherini-Silberstein, T. / systems also recognize foliation theory Smirnova-Nagnibeda, T. / Zuk, A. (Eds) as a cognate subject of some interest.... With the phenomenal interaction between PM – Progress in Mathematics, Vol. 248

pure and applied mathematics over recent 2005. 413 p. 26 illus. Hardcover decades, this book should be of considerable EUR 78.– / CHF 128.– / ISBN 978-3-7643-7446-4 interest to many application-oriented mathematicians." SIAM Book Reviews Introduction to Plane
 2004. XI, 225 p. Hardcover Algebraic Curves EUR 82.– / CHF 132.– / ISBN 978-3-7643-7091-6 Kunz, E.

Geometric Methods in
 "This text stands out by the author's... Algebra and Number Theory writing style characterized by its systematic Bogomolov, F. / Tschinkel, Y. (Eds) representations, didactical perfection, comprehensiveness, mathematical rigor, PM – Progress in Mathematics, Vol. 235 thematic determination, and striving for self-containedness. Like in most of his other 2005. VIII, 362 p. 6 illus. Hardcover EUR 64.90 / CHF 109.– / ISBN 978-0-8176-4349-2 textbooks on algebra and algebraic geometry [the author] focuses on the inseparable interplay between those two branches of mathematics, and again he presents Groups with the Haagerup and hits for further reading. There is no Property doubt that the international mathematical Gromov's a-T-menability community, including students and teachers, Cherix, P.–A. / Cowling, M. / Jolissaint, P. / will welcome the overdue English edition of Julg, P. / Valette, A. this masterly textbook as a very special and useful addition to the great standard texts on PM – Progress in Mathematics, Vol. 197 plane curves." Zentralblatt MATH

2001. Hardcover 2005. XII, 293 p. 52 illus. Softcover EUR 58.– / CHF 98.– / ISBN 978-3-7643-6598-1 EUR 48.– / CHF 78.– / ISBN 978-0-8176-4381-2

22 Introduction to Vertex Lectures on Algebraic Quantum
 Operator Algebras and Groups Their Representations Brown, K. A. / Goodearl, K. R. Lepowsky, J. / Li, H. ACM – Advanced Courses in Mathematics – PM – Progress in Mathematics, Vol. 227 CRM Barcelona

"…[The] authors give a systematic "The proofs, sketches of proofs, and introduction to the theory of vertex operator quotations from the literature are carefully algebras and their representations. written. Numerous examples and exercises Particular emphasis is put on the axiomatic are included, and bibliographical notes development of the theory and the conclude each chapter. The second and third construction theorems for vertex operator parts end with a discussion of open problems algebras and their modules. The book and perspectives for further research." provides a detailed study of most basic Mathematical Reviews families of vertex operator algebras and 2002. IX, 348 p. Softcover their representation theory. A number of EUR 37.– / CHF 58.– / ISBN 978-3-7643-6714-5 new, original results are presented…. This excellent book is written in a self-contained Lifting Modules manner with detailed proofs." Mathematical Supplements and Projectivity in Reviews Module Theory 2004. XI, 318 p. Hardcover Clark, J. / Lomp, C. / Vanaja, N. / EUR 98.– / CHF 154.– / ISBN 978-0-8176-3408-7 Wisbauer, R.

Kac-Moody Groups, their Flag FM – Frontiers in Mathematics Varieties and Representation 2006. XII, 394 p. Softcover Theory EUR 48.– / CHF 78.– / ISBN 978-3-7643-7572-0 Kumar, S. Lie Groups Beyond an
 PM – Progress in Mathematics, Vol. 204 Introduction 2nd ed. "A lot of different topics are treated in this Knapp, A. W. monumental work. . . . many of the topics of the book will be useful for those only PM – Progress in Mathematics, Vol. 140 interested in the finite-dimensional case. The book is self contained, but is on the level "Anthony Knapp's Lie Groups Beyond an of advanced graduate students. . . . For the Introduction, 2nd edition, is a beautiful motivated reader who is willing to spend introduction to this area of mathematics, considerable time on the material, the book appropriate for a variety different can be a gold mine. " Zentralblatt MATH audiences.... The book is well-organized 2002. 632 p. 86 illus. Hardcover with concise, focused introductions to each EUR 58.– / CHF 92.– / ISBN 978-0-8176-4227-3 chapter, a very thorough index of notation, and appendices.... In addition, there are hints to the hundreds of exercises, and a section on historical notes.... Knapp's writing is clear, and he avoids excessive notation. The first few chapters comprise a standard introductory course in Lie theory, while 23 Algebra and Representation Theory

numerous second courses could be taught Lie Theory out of the later chapters. Its breadth of Unitary Representations and coverage and extensive tables also make the Compactifications of Symmetric book a valuable reference for researchers in Spaces representation theory." MAA Reviews Anker, J.–P. / Orsted, B. (Eds) "This is a wonderful choice of material. Any graduate student interested in Lie groups, PM – Progress in Mathematics, Vol. 229 differential geometry, or representation theory will find useful ideas on almost 2005. X, 207 p. 20 illus. Hardcover every page. Each chapter is followed by EUR 59.90 / CHF 99.– / ISBN 978-0-8176-3526-8 a long collection of problems [that] are interesting and enlightening [and] there are Lie Theory extensive hints at the back of the book. The Harmonic Analysis on Symmetric exposition...is very careful and complete.... Spaces – General Plancherel Theorems Altogether this book is delightful and should Anker, J.–P. / Orsted, B. (Eds) serve many different audiences well. It would make a fine text for a second graduate PM – Progress in Mathematics, Vol. 230 course in Lie theory." Bulletin of the AMS

2002. XVIII, 812 p. 8 illus. Hardcover "This book is a remarkable and highly EUR 78.– / CHF 128.– / ISBN 978-0-8176-4259-4 commendable effort by three leading experts, Erik P. van den Ban, Henrik Schlichtkrull, and Lie Theory Patrick Delorme, to survey the fascinating Lie Algebras and Representations progress made in the last decade on the Plancherel theorem for reductive symmetric Anker, J.–P. / Orsted, B. (Eds) spaces." Mathematical Reviews

PM – Progress in Mathematics, Vol. 228 2005. VIII, 175 p. 3 illus. Hardcover EUR 59.90 / CHF 99.– / ISBN 978-0-8176-3777-4 "This is the first volume in a series of three on the theory of semisimple Lie groups. It consists of two independent articles, which Linear Algebra both are devoted to realtions between A Pure Mathematical
 representation theory and adjoint or Approach coadjoint orbits." Rose, H. E. Monatshefte für Mathematik "Some of Jantzen's techniques seem to "Rose's Linear Algebra is a highly be unmotivated at first, but he rewards sophisticated undergraduate work . . . This the patient reader with background and book would be excellent for mathematics motivation as he moves through the majors or for non-majors with access to a book, often starting with a simple case in second course in which applications were a classical group/algebra and providing presented. Summing Up: Recommended for motivation by generalizing the situation lower- and upper-division undergraduates." later. The detailed work is also surprisingly Choice

free of logical and typographical errors; 2002. XIV, 250 p. Hardcover Jantzen has been very careful at every turn.... EUR 45.– / CHF 72.– / ISBN 978-3-7643-6905-7

Neeb's article is a good starting point for 2002. XIV, 250 p. Softcover learning about the analytic side of the unitary EUR 23.– / CHF 38.– / ISBN 978-3-7643-6792-3 representation theory of infinite-dimensional groups." SIAM Book Reviews

2004. IX, 328 p. Hardcover 24 EUR 78.– / CHF 120.– / ISBN 978-0-8176-3373-8 Linear Algebra sum decompositions and many of the main
 Kwak, J. H. / Hong, S. results in this book include his own work." 2nd ed. EMS Newsletter 1998. Hardcover "This is a standard book on Linear Algebra EUR 108.– / CHF 168.– / ISBN 978-3-7643-5908-9 for science and engineering students. It covers the usual topics, including the Jordan Momentum Maps and
 canonical form, a topic that is omitted Hamiltonian Reduction in many recent books at this level…. In Ortega, J.–P. / Ratiu, T. S. summary, the book can be safely used as the basis for a course on Linear Algebra for the PM – Progress in Mathematics, Vol. 222 intended audience." MAA Reviews

2004. XIV, 390 p. Softcover Winner of the Ferran Sunyer i Balaguer EUR 58.– / CHF 94.– / ISBN 978-0-8176-4294-5 Prize in 2000

Linear Algebraic Groups "…The present book offers a thorough description of [reduction] theory and 2nd ed. a unified treatment of most of its Springer, T.A. developments and generalizations, with a particular emphasis on those due to PM – Progress in Mathematics, Vol. 9 the authors. It contains many important results which cannot be found in other "[The first] ten chapters...are an efficient, books, and covers a large part of the recent accessible, and self-contained introduction developments related to momentum maps to affine algebraic groups over an and reduction. This book fills a need and will algebraically closed field. The author includes be appreciated by specialists as well as by exercises and the book is certainly usable by persons new to the field…." Mathematical graduate students as a text or for self-study... Reviews the author [has a] student-friendly style… [The following] seven chapters... would also 2004. XXXIV, 497 p. Hardcover be a good introduction to rationality issues EUR 59.90 / CHF 99.– / ISBN 978-0-8176-4307-2 for algebraic groups. A number of results from the literature…appear for the first time Number Fields and Function in a text." Mathematical Reviews Fields – Two Parallel Worlds

1998. 352 p. Hardcover van der Geer, G. / Moonen, B. / Schoof, R. EUR 118.– / CHF 148.– / ISBN 978-0-8176-4021-7 (Eds)

Module Theory PM – Progress in Mathematics, Vol. 239

Endomorphism rings and direct sum 2005. XIV, 318 p. 7 tables. Hardcover decompositions in some classes of EUR 72.– / CHF 108.– / ISBN 978-0-8176-4397-3 modules Facchini, A. Poisson Structures and Their Normal Forms PM – Progress in Mathematics, Vol. 167 Dufour, J.–P. / Zung, N. T.

"Written in an attractive and fresh PM – Progress in Mathematics, Vol. 242 mathematical style. Each topic is arranged 2005. XV, 321 p. Hardcover well and lucidly. The author has made EUR 49.90 / CHF 85.– / ISBN 978-3-7643-7334-4 important contributions to the study of direct 25 Algebra and Representation Theory

Polynomial Automorphisms quickly developing direction in modern and the Jacobian Conjecture mathematics…The book of A. Lubotzky and D.Segal, leading specialists in group theory, van den Essen, A. answers…questions in a beautiful way .…It was natural to expect a text on the subject PM – Progress in Mathematics, Vol. 190 that would summarize the achievements in the field and we are very lucky to witness "…This book is a valuable reference for the the appearance of this wonderful book. study of polynomial automorphisms, due …Readers will be impressed with the to its breadth of coverage and clarity of encyclopedic scope of the text. It includes exposition." Mathematical Reviews all, or almost all, topics related to subgroup 2000. XVIII, 329 p. Hardcover growth ….The book also includes plenty of EUR 88.– / CHF 138.– / ISBN 978-3-7643-6350-5 general information on topics that are well known to algebraic audiences and should Polynomial Identity Rings be part of the background for every modern Drensky, V. / Formanek, E. researcher in mathematics. …a wonderful methodological tool introduced by the ACM – Advanced Courses in Mathematics – authors." Bulletin of the AMS CRM Barcelona 2003. XXII, 454 p. Hardcover "The book under review consists of two EUR 99.– / CHF 169.– / ISBN 978-3-7643-6989-7 excellent monographs on the PI-theory by Symmetry in Mechanics two leading researchers, V. Drensky and E.
 Formanek … In summary, both expositions A Gentle, Modern Introduction are very well written, and the book is Singer, S. F. recommended both for graduate students and researchers." Mathematical Reviews "This is a very interesting book. Those

2004. VI, 200 p. Softcover educated in traditional mechanics will EUR 29.90 / CHF 49.90 / ISBN 978-3-7643-7126-5 acquire [from reading it] knowledge of modern mathematics hidden beyond Studies in Lie Theory traditional concepts in the realm of celestial Dedicated to A. Joseph on his Sixtieth mechanics, [and] . . . pure mathematicians will understand how their discipline enters Birthday into practical problems. The author shows Bernstein, J. / Hinich, V. / Melnikov, A. (Eds) how fundamental concepts of symplectic geometry implicitly occur in mechanics . . . PM – Progress in Mathematics, Vol. 243 the mathematical presentation is ingenious 2006. XXII, 494 p. 2 illus. Hardcover and subtle. There are a lot of exercises for EUR 88.– / CHF 138.– / ISBN 978-0-8176-4342-3 the reader and the solutions of most of them are given in a separate chapter. I can highly Subgroup Growth recommend this book to undergraduate Lubotzky, A. / Segal, D. and PhD students … it is ideally suited for teaching a course on the subject." PM – Progress in Mathematics, Vol. 212 Mathematical Reviews

2001. XII, 193 p. 30 illus. Softcover Awarded with the Ferran Sunyer i EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4145-0 Balaguer Prize 2002

"[Subgroup growth] is one of the first books 26 on Asymptotic Group Theory – a new, The Fourfold Way in Real Analysis An Alternative to the Metaplectic Representation Unterberger, A.

PM – Progress in Mathematics, Vol. 250

2006. X, 220 p. Hardcover EUR 78.– / CHF 128.– / ISBN 978-3-7643-7544-7

The Lie Algebras su(N)
 An Introduction Pfeifer, W.

2003. VI, 116 p. Softcover EUR 39.90 / CHF 65.– / ISBN 978-3-7643-2418-6

Topics in Factorization of Abelian Groups Szabo, S.

2004. VI, 334 p. Hardcover EUR 99.– / CHF 169.– / ISBN 978-3-7643-7158-6

Topology of Singular Spaces and Constructible Sheaves Schürmann, J.

MMN – Monografie Matematyczne, Vol. 63

2003. X, 452 p. Hardcover EUR 99.– / CHF 169.– / ISBN 978-3-7643-2189-5

27 Geometry / Topology

2nd ed.

Classical Geometries in Modern From Geometry to Quantum Contexts Mechanics Geometry of Real Inner Product Spaces In Honor of Hideki Omori Benz, W., University of Hamburg, Germany Maeda, Y., Keio University, Yokohama-shi, Japan / Michor, P., Universität Wien, Austria / "…also mathematicians who have not so Ochiai, T., Nippon Sport Science University, far been especially interested in geometry Tokyo, Japan / Yoshioka, A., Tokyo University may study and understand great ideas of Science, Tokyo, Japan (Eds) of classical geometries in modern and general contexts. Proofs of newer theorems, PM – Progress in Mathematics, Vol. 252 characterizing isometries and Lorentz transformations under mild hypotheses This volume is composed of invited are included, like for instance infinite expository articles by well-known dimensional versions of famous theorems of mathematicians in differential geometry A.D. Alexandrov on Lorentz transformations. and mathematical physics that have been A real benefit is the dimension-free approach arranged in celebration of Hideki Omori's to important geometrical theories. Only recent retirement from Tokyo University of prerequisites are basic linear algebra and Science and in honor of his fundamental basic 2- and 3-dimensional real geometry." contributions to these areas. L'Enseignement Mathématique The papers focus on recent trends and 2008. Approx. 250 p. Hardcover Approx. EUR 79.90 / CHF 129.– / ISBN 978-3-7643-8540-9 future directions in symplectic and Poisson geometry, global analysis, infinite- dimensional Lie group theory, quantizations and noncommutative geometry, as well as applications of partial differential equations and variational methods to geometry. These articles will appeal to graduate students in mathematics and quantum mechanics, as well as researchers, differential geometers, and mathematical physicists. Contributors include: M. Cahen, D. Elworthy, A. Fujioka, M. Goto, J. Grabowski, S. Gutt, J. Inoguchi, M. Karasev, O. Kobayashi, Y. Maeda, K. Mikami, N. Miyazaki, T. Mizutani, H. Moriyoshi, H. Omori, T. Sasai, D. Sternheimer, A. Weinstein, K. Yamaguchi, T. Yatsui, and A. Yoshioka.

2007. XVII, 324 p., 7 illus. Hardcover 28 EUR 82.– / CHF 132.– / ISBN 978-0-8176-4512-0


1st ed. 1999. 3rd printing

Introduction to Classical Metric Structures for Riemannian Geometries and Non-Riemannian Spaces Ramírez Galarza, A.I., Universidad Gromov, M., Institut des Hautes Etudes Nacional Autónoma de México / Seade, J., Scientifiques, Bures-sur-Yvette, France Universidad Nacional Autónoma de México MBC – Modern Birkhäuser Classics This book follows Klein’s proposal of studying geometry by looking at the Metric theory has undergone a dramatic symmetries (or rigid motions) of the space phase transition in the last decades when in question. In this way the classical its focus moved from the foundations of geometries are studied: Euclidean, real analysis to Riemannian geometry and affine, elliptic, projective and hyperbolic. algebraic topology, to the theory of infinite For simplicity the focus is on the two- groups and probability theory. The present dimensional case, which is already rich English translation of that work has been enough, though some aspects of the 3 or enriched and expanded with new material n-dimensional geometries are included. to reflect recent progress. Additionally, four Once plane geometry is well understood, it is appendices – by Gromov on Levy's inequality, much easier to go into higher dimensions. by Pansu on "quasiconvex" domains, by The book appeals to, and develops, the Katz on systoles of Riemannian manifolds, geometric intuition of the reader. Some and by Semmes overviewing analysis on basic notions of algebra and analysis are metric spaces with measures – as well as an also used to get better understandings of extensive bibliography and index round out various concepts and results. this unique and beautiful book.

2007. VIII, 219 p. Softcover 2007. XX, 586 p. 100 illus. Softcover EUR 29.90 / CHF 49.90 / ISBN 978-3-7643-7517-1 EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4582-3

29 Geometry / Topology

q-Clan Geometries in Real and Complex Singularities Characteristic 2 São Carlos Workshop 2004 Cardinali, I., Università degli Studi di Siena, Brasselet, J.-P., IML-CNRS, Marseille, France / Italy / Payne, S.E., University of Colorado, Soares Ruas, M.A., USP-São Carlos, Brasil Denver, CO, USA (Eds)

FM – Frontiers in Mathematics TM – Trends in Mathematics

A q-clan with q a power of 2 is equivalent The São Carlos Workshop on Real and to a certain generalized quadrangle with a Complex Singularities is the longest running family of subquadrangles each associated workshop in singularities. It is held every with an oval in the Desarguesian plane of two years and is a key international event order 2. It is also equivalent to a flock of a for people working in the field. This volume quadratic cone, and hence to a line-spread contains papers presented at the eighth of 3-dimensional projective space and thus workshop, held at the IML, Marseille, July to a translation plane, and more. These 19-23, 2004. geometric objects are tied together by the so-called Fundamental Theorem of q-Clan The workshop offers the opportunity to Geometry. The book gives a complete proof establish the state of the art and to present of this theorem, followed by a detailed study new trends, new ideas and new results of the known examples. The collineation in all of the branches of singularities. groups of the associated generalized This is reflected by the contributions in quadrangles and the stabilizers of their this book. The main topics discussed are associated ovals are worked out completely. equisingularity of sets and mappings, geometry of singular complex analytic sets, 2007. Approx. 200 p. Softcover singularities of mappings, characteristic EUR 39.90 / CHF 69.90 / ISBN 978-3-7643-8507-1 classes, classification of singularities, interaction of singularity theory with some of the new ideas in algebraic geometry imported from theoretical physics, and applications of singularity theory to geometry of surfaces in low dimensional euclidean spaces, to differential equations and to bifurcation theory.

2007. X, 364 p. Hardcover EUR 128.– / CHF 208.– / ISBN 978-3-7643-7775-5

30



Topological and Bivariant K-theory Tropical Algebraic Geometry Cuntz, J., Westfälische Wilhelms-Universität, Itenberg, I., Université Louis Pasteur, Münster, Germany / Meyer, R., Georg- Strasbourg, France / Mikhalkin, G., August-Universität, Göttingen, Germany / University of Toronto, ON, Canada / Rosenberg, J.M., University of Maryland, Shustin, E., Tel Aviv University, Israel College Park, MD, USA OWS – Oberwolfach Seminars, Vol. 35 OWS – Oberwolfach Seminars, Vol. 37 Tropical geometry is algebraic geometry over Topological K-theory is one of the most the semifield of tropical numbers, i.e., the important invariants for noncommutative real numbers and negative infinity enhanced algebras. Bott periodicity, homotopy with the (max,+)-arithmetics. Geometrically, invariance, and various long exact tropical varieties are much simpler than sequences distinguish it from algebraic their classical counterparts. Yet they K-theory. This book describes bivariant carry information about complex and real K-theory for bornological algebras, varieties. which provides a vast generalization of These notes present an introduction topological K-theory. In addition, it details to tropical geometry and contain some other approaches to bivariant K-theories applications of this rapidly developing for operator algebras. The book studies a and attractive subject. It consists of three number of applications, including K-theory chapters which complete each other and of crossed products, the Baum-Connes give a possibility for non-specialists to assembly map, twisted K-theory with some make the first steps in the subject which is of its applications, and some variants of the not yet well represented in the literature. Atiyah-Singer Index Theorem. The intended audience is graduate, post- 2007. 276 p. Softcover graduate, and Ph.D. students as well as EUR 29.90 / CHF 49.90 / ISBN 978-3-7643-8398-5 established researchers in mathematics.

2007. VIII, 103 p. 30 illus. Softcover EUR 19.90 / CHF 32.90 / ISBN 978-3-7643-8309-1

31 Geometry / Topology

A First Course in Geometric Compactifications of Symmetric Topology and Differential
 and Locally Symmetric Spaces Geometry Borel, A. / Ji, L. Bloch, E. MTA – Mathematics: Theory & Applications "The exposition is clear, nicely organized, and 2006. XIII, 479 p. Hardcover generally easy to read." Zentralblatt MATH EUR 68.– / CHF 105.– / ISBN 978-0-8176-3247-2 1996. 440 p. Hardcover EUR 64.– / CHF 104.– / ISBN 978-0-8176-3840-5 Cycle Spaces of Flag Domains A General Topology A Complex Geometric Viewpoint
 Workbook Fels, G. / Huckleberry, A. / Wolf, J. A. Adamson, I. T. PM – Progress in Mathematics, Vol. 245 "Ideal for independent study." The American Mathematical Monthly "Cycle spaces can be a useful tool in the study of real semisimple Lie groups, and the 1995. VIII, 152 p. Softcover EUR 38.– / CHF 62.– / ISBN 978-0-8176-3844-3 research monograph which is reviewed here is devoted to describing their features. The exposition … is in principle self-contained A History of Algebraic and for a good graduate reader, who will also Differential Topology, 1900-1960 find a wealth of concrete examples. … the Dieudonne, J. approach used by the authors throughout

1989. 675 p. Hardcover this monograph is based on a combination EUR 59.90 / CHF 99.– / ISBN 978-0-8176-3388-2 of group-theoretical methods … the result is an intriguing melting pot, opening interesting perspectives of interaction among different Canonical Metrics in Kähler research branches." Mathematical Reviews Geometry 2006. XX, 339 p. Hardcover Tian, G. EUR 58.– / CHF 88.– / ISBN 978-0-8176-4391-1

LM – Lectures in Mathematics. ETH Zürich Differentiable Manifolds Conlon, L. "This little monograph offers an essentially 2nd ed. self-contained introduction to the theory of canonical Kähler metrics on complex BAT – Birkhäuser Advanced Texts manifolds. …The author presents some "This is a carefully written and wide- advanced topics which are hard [to] find ranging textbook suitable mainly for elsewhere… This graduate course on Kähler- graduate courses, although some advanced Einstein metrics can be recommended to undergraduate courses may benefit from all those interested in recent developments the early chapters. The subject matter is within complex differential geometry." differential topology and geometry, that is, Publicationes Mathematicae the study of curves, surfaces and manifolds 2000. VII, 101 p. Softcover where the assumption of differentiability EUR 21.– / CHF 32.– / ISBN 978-3-7643-6194-5 adds the tools of differentiable and integral calculus to those of topology. Within this area, the book is unusually comprehensive…. 32 The style is clear and precise, and this makes confronted with almost 700 pages of rather the book a good reference text. There are difficult and delicate mathematics." many good exercises." The Mathematical Journal of Operator Theory

Gazette 2001. XVII, 685 p. Hardcover EUR 64.90 / CHF 109.– / ISBN 978-0-8176-4124-5 2001. XIII, 418 p. 48 illus. Hardcover EUR 68.– / CHF 108.– / ISBN 978-0-8176-4134-4 Flow Lines and Algebraic Differential Geometry and Invariants in Contact Form Analysis on CR Manifolds Geometry Dragomir, S. / Tomassini, G. Bahri, A. PNLDE – Progress in Nonlinear Differential PM – Progress in Mathematics, Vol. 246 Equations and Their Applications, Vol. 53 2006. XIV, 487 p. Hardcover EUR 92.– / CHF 142.– / ISBN 978-0-8176-4388-1 "This text features a careful treatment of flow lines and algebraic invariants in contact Differential Geometry of form geometry, a vast area of research
 Curves and Surfaces connected to symplectic field theory, pseudo- A Concise Guide holomorphic curves, and Gromov-Witten invariants (contact cohomology)... Fully Toponogov, V. A. detailed, explicit proofs and a number of suggestions for further research are provided "This book by the late author covers … the throughout." L'enseignement Mathématique subjects which are normally taught in a course on the differential geometry of curves 2003. VII, 219 p. Hardcover and surfaces. … It can be recommended EUR 79.90 / CHF 135.– / ISBN 978-0-8176-4318-8 for first-year graduate students and also for use in the classroom. … the book is rich Geometric Mechanics on in geometry and concrete examples. … the Riemannian Manifolds
 book is very welcome since it is an original Applications to Partial Differential contribution in various aspects and gives a Equations number of geometric insights … Numerous illustrations make the reading enjoyable." Calin, O. / Chang, D.–C. Mathematical Reviews ANHA – Applied and Numerical Harmonic 2006. XII, 206 p. 70 illus. Softcover Analysis EUR 48.– / CHF 78.– / ISBN 978-0-8176-4384-3 "The book is well written and contains a wealth of material. The authors make a Elements of
 Noncommutative Geometry concerted effort to simplify proofs taken from many sources [so] researchers will Gracia-Bondia, J. M. / Varilly, J. C. / readily find the informations they seek, while Figueroa, H. students can develop their skills by filling in details of proofs, as well as by using the BAT – Birkhäuser Advanced Texts problem sets that end each chapter. The book provides the reader with an in-depth "The style of the book is lively, exempt of the introduction to a rich and rapidly developing stereotypes one encounters rather often in research area that has already produced the mathematical literature. The authors remarkable results." Zentralblatt MATH know how to tell stories and enjoy doing it. The friendly tone could be of some help 2005. XV, 278 p. Hardcover for an hypothetical unexperienced reader EUR 74.90 / CHF 125.– / ISBN 978-0-8176-4354-6 33 Geometry / Topology

Geometric Problems on
 Homotopy Theoretic Methods Maxima and Minima in Group Cohomology
 Andreescu, T. / Mushkarov, O. / Stoyanov, L. Dwyer, W. G. / Henn, H.–W. ACM – Advanced Courses in Mathematics – "As an avid problem solver with a strong CRM Barcelona interest in inequalities…I am delighted to supplement my repertoire with the 2001. IX, 98 p. Softcover techniques illustrated in this volume…. EUR 22.– / CHF 36.– / ISBN 978-3-7643-6605-6 The book contains hundreds of problems, classical and modern, all with hints or Hyperbolic Manifolds and Discrete complete solutions…. Over the years, Titu Groups Notes on Thurston's Andreescu and various collaborators have Hyperbolization used their experiences as teachers and as Kapovich, M. Olympiad coaches to produce a series of excellent problem-solving manuals…. The PM – Progress in Mathematics, Vol. 183 present volume continues that tradition and "The book is very clearly written and should appeal to a wide audience ranging fairly self-contained. It will be useful from advanced high school students to to researchers and advanced graduate professional mathematicians." MAA students in the field and can serve as an 2006. X, 264 p., 262 illus. Softcover ideal guide to Thurston's work and its recent EUR 58.– / CHF 88.– / ISBN 978-0-8176-3517-6 developments." Mathematical Reviews Geometric Q Functions p "We recommend the excellent introduction Xiao, J. of the present book for the history of the various contributions, and also for a sketch FM – Frontiers in Mathematics of the proof itself. . . . This is an important 2006. X, 240 p. Softcover book which had to be written . . . the book EUR 38.– / CHF 62.– / ISBN 978-3-7643-7762-5 contains a lot of material which will be useful for various other directions of research." Handbook of Normal Frames and Zentralblatt MATH

Coordinates 2001. XXV, 467 p. 75 illus. Hardcover Iliev, B. Z. EUR 79.90 / CHF 135.– / ISBN 978-0-8176-3904-4

PMP – Progress in Mathematical Physics, Index Theory for Symplectic Paths Vol. 42 with Applications 2006. XV, 441 p. Hardcover Long, Y. EUR 98.– / CHF 158.– / ISBN 978-3-7643-7618-5 PM – Progress in Mathematics, Vol. 207

Homology of Linear Groups 2002. VII, 380 p. Hardcover Knudson, K. P. EUR 118.– / CHF 188.– / ISBN 978-3-7643-6647-6

PM – Progress in Mathematics, Vol. 193 Introduction to the Baum-Connes Conjecture "This marks the first time that many of Valette, A. these results have been collected in a single LM – Lectures in Mathematics. ETH Zürich volume…" Mathematical Reviews

2001. XI, 192 p. Hardcover "Overall, the book is a very valuable addition 34 EUR 88.– / CHF 128.– / ISBN 978-3-7643-6415-1 to the literature on the Baum-Connes conjecture. It is highly recommended reading Modern Differential Geometry in for anyone interested in learning more about Gauge Theories the conjecture, or who does research in areas related to it. Of course, the reader who wants Maxwell Fields, Volume I to be an expert will eventually have to consult Mallios, A. the original literature, but such is inevitable 2006. XVII, 293 p. Softcover in a book of this size (around 100 pages) and EUR 98.– / CHF 152.– / ISBN 978-0-8176-4378-2 not necessarily a bad thing." Mathematical Reviews Moduli of Abelian Varieties van der Geer, G. / Faber, C. / Oort, F. (Eds) 2002. X, 104 p. Softcover EUR 21.– / CHF 38.– / ISBN 978-3-7643-6706-0 PM – Progress in Mathematics, Vol. 195

Lectures on Clifford 2001. XII, 518 p. Hardcover
 (Geometric) Algebras and EUR 128.– / CHF 198.– / ISBN 978-3-7643-6517-2 Applications Projective Geometry and Formal Ablamowicz, R. / Sobczyk, G. (Eds) Geometry "This text contains a set of lectures Badescu, L. presented by P. Lounesto, I. Porteous, J. Ryan, W.E. Baylis, J.M. Selig, T. Branson, and an MMN – Monografie Matematyczne, Vol. 65 appendix by R. Ablamowicz and G. Sobczyk 2004. XIV, 209 p. Hardcover describing software for solving different EUR 74.90 / CHF 129.– / ISBN 978-3-7643-7123-4 kinds of problems involving computations with Clifford algebras. Each one of the Proper Group Actions and
 lectures is a jewel and will be appreciated the Baum-Connes Conjecture [by] newcomers wanting an introduction to a rapidly developing field as well [as] by Mislin, G. / Valette, A. practitioners, [who] for pleasure certainly will enjoy reading the texts of those well-known ACM – Advanced Courses in Mathematics – experts...." Zentralblatt MATH CRM Barcelona 2003. 131 p. Softcover 2004. XVII, 221 p. Softcover EUR 29.90 / CHF 49.90 / ISBN 978-3-7643-0408-9 EUR 29.90 / CHF 49.90 / ISBN 978-0-8176-3257-1

Lines and Curves Riemannian Geometry

 A Practical Geometry do Carmo, M. P. Handbook MTA – Mathematics: Theory & Applications Gutenmacher, V. / Vasilyev, N.B. "This is one of the best (if even not just "If only some for the ideas of this book would the best) book for those who want to get a slip in teaching at school the pupils would not good, smooth and quick, but yet thorough lament for boring mathematics. And if you introduction to modern Riemannian [are looking] for a fascinating, exciting, but by geometry." no means trivial approach to the beginnings Publicationes Mathematicae of the theory of algebraic curves buy this book!" Monatshefte für Mathematik "This is a very nice introduction to global 2004. XVIII, 158 p. 350 illus. Softcover Riemannian geometry, which leads the EUR 42.– / CHF 70.– / ISBN 978-0-8176-4161-0 reader quickly to the heart of the topic. Nevertheless, classical results are also 35 Geometry / Topology

discussed on many occasions, and almost 60 Selected Topics in Convex
 pages are devoted to exercises." Geometry Newsletter of the EMS Moszynska, M. 1992. XVI, 300 p. 53 illus. Hardcover EUR 39.90 / CHF 65.– / ISBN 978-0-8176-3490-2 "This book is the translation and revision of the original Polish 2001 edition. Its focus is Riemannian Geometry of Contact on studying convexity for its own sake rather and Symplectic Manifolds than on applications of convexity … . The Blair, D. E. readable book contains numerous examples and some exercises. … the book could be PM – Progress in Mathematics, Vol. 203 used by students for courses or seminars in several geometric fields." "The book . . . supplies a lot of examples, and Mathematical Reviews includes many recent results. It can be used 2006. XVI, 226 p. 30 illus. Also available online. Softcover either as an introduction to the subject or EUR 48.– / CHF 78.– / ISBN 978-0-8176-4396-6 as a reference for students and researchers . . . [it] gives a clear and complete account Simplicial Homotopy Theory of the main ideas . . . and studies a vast Goerss, P. G. / Jardine, J. F. amount of related subjects such as integral submanifolds, symplectic structure of PM – Progress in Mathematics, Vol. 174 tangent bundles, curvature of contact metric 1999. XV, 510 p. Hardcover manifolds and curvature functionals on EUR 88.– / CHF 138.– / ISBN 978-3-7643-6064-1 spaces of associated metrics." Mathematical Reviews String Topology and Cyclic 2002. XII, 260 p. 5 illus. Hardcover
 EUR 98.– / CHF 158.– / ISBN 978-0-8176-4261-7 Homology Cohen, R. L. / Hess, K. / Voronov, A. A. Rigid Analytic Geometry and Its Applications ACM – Advanced Courses in Mathematics – Fresnel, J. / van der Put, M. CRM Barcelona

2006. VI, 163 p. 29 illus. Softcover PM – Progress in Mathematics, Vol. 218 EUR 22.– / CHF 35.– / ISBN 978-3-7643-2182-6

"When I was a graduate student, we used Symplectic Geometry and the original (French) version of this book in an informal seminar on rigid geometry. It Quantum Mechanics was quite helpful then, and it is much better de Gosson, M. now. The authors have updated the material, added quite a bit on new applications and APDE – Advances in Partial Differential new results, and changed languages. Despite Equations / OT – Operator Theory: Advances the competition it now has, this is still one of and Applications, Vol. 166 the best places in which to start learning this 2006. XX, 392 p. Hardcover theory." MAA Reviews EUR 138.– / CHF 218.– / ISBN 978-3-7643-7574-4

2003. XII, 312 p. 10 illus. Hardcover EUR 95.– / CHF 144.– / ISBN 978-0-8176-4206-8

36 Symplectic Geometry of Integrable The Monodromy Group Hamiltonian Systems Zoladek, H. Audin, M. / Cannas da Silva, A. / Lerman, E. MMN – Monografie Matematyczne, Vol. 67

ACM – Advanced Courses in Mathematics – 2006. XI, 580 p. 134 illus. Hardcover EUR 98.– / CHF 168.– / ISBN 978-3-7643-7535-5 CRM Barcelona

"This book, an expanded version of the The Non-Euclidean Revolution lectures delivered by the authors at the Trudeau, R. J. 'Centre de Recerca Matemàtica' Barcelona "...the author, in this remarkable book, in July 2001, is designed for a modern describes in an incomparable way the introduction to symplectic and contact fascinating path taken by the geometry geometry to graduate students. It can also of the plane in its historical evolution be useful to research mathematicians from antiquity up to the discovery of non- interested in integrable systems." Euclidean geometry. This 'non-Euclidean Zentralblatt MATH revolution', in all its aspects, is described very 2003. 236 p. Softcover strikingly here...Many illustrations and some EUR 29.90 / CHF 49.90 / ISBN 978-3-7643-2167-3 amusing sketches complement the very vividly written text." Mathematical Reviews Symplectic Invariants and
 2001. XIV, 270 p., 257 illus. Softcover Hamiltonian Dynamics EUR 62.– / CHF 98.– / ISBN 978-0-8176-4237-2 Hofer, H. / Zehnder, E. The Novikov Conjecture
 BAT – Birkhäuser Advanced Texts Geometry and Algebra 1994. XIII, 341 p. Hardcover Kreck, M. / Lück, W. EUR 49.– / CHF 88.– / ISBN 978-3-7643-5066-6 OWS – Oberwolfach Seminars, Vol. 33 The Algebra of Secondary Cohomology Operations “This very readable book provides an Baues, H.–J. excellent introduction to the circle of ideas related to the Novikov conjecture.” PM – Progress in Mathematics, Vol. 247 Monatshefte für Mathematik

2006. XXXII, 483 p. Hardcover EUR 118.– / CHF 198.– / ISBN 978-3-7643-7448-8 "Overall, the book is very suitable both as an introduction and as a reference, and The Breadth of Symplectic and finds exactly the right balance between Poisson Geometry detail, comprehensiveness and length of the presentation. It is recommended to everyone Festschrift in Honor of Alan Weinstein with a background in algebraic topology who Marsden, J. E. / Ratiu, T. S. (Eds) wants to learn about one or some of the PM – Progress in Mathematics, Vol. 232 aspects covered." Mathematical Reviews 2005. XV, 266 p. Softcover 2005. XXIII, 654 p. 30 illus. Hardcover EUR 39.90 / CHF 65.– / ISBN 978-3-7643-7141-8 EUR 98.– / CHF 162.– / ISBN 978-0-8176-3565-7

37 Geometry / Topology

The Unity of Mathematics improved book. The second edition contains In Honor of the Ninetieth Birthday of more material, and includes several new I.M. Gelfand results and techniques. Topics included in the first edition are now presented more / / (Eds) Etingof, P. Retakh, V. Singer, I.M. thoroughly, with more results, illustrated by well-chosen examples, and many new PM – Progress in Mathematics, Vol. 244 exercises. The author has systematically addressed suggestions made in the review "This book is a unique and wonderful of the first edition. The book is nicely written, collection of papers presented at a and is a good reference book. By including conference honoring one of the most detailed proofs, illuminating examples and productive, influential and still young figures, and numerous exercises, the author mathematicians of the 20th century, I. M. has made this book a suitable text for a Gelfand. As the title suggests, the articles graduate course, especially one centered refer to the connections between several on Hamiltonian torus actions and their fields: geometry, physics, representation applications." Mathematical Reviews theory, algebraic geometry.... The authors of the papers are some of the best 2004. VIII, 325 p. Hardcover mathematicians of present day...[and] most EUR 78.– / CHF 128.– / ISBN 978-3-7643-2176-5 of them emphasize the crucial contribution that Gelfand's work had in many different Trigonometry
 ways.... [T]he papers are unique, very deep Gelfand, I.M. / Saul, M. and very well written. Mathematicians and graduate students will find lots of "The authors tried to explain the results of connections, ideas and inspiration in this trigonometry as simply as possible…. The wonderful collection of papers." MAA exercises include a few problems of each routine type. Most of the problems exhibit a 2006. XXII, 632 p. 41 illus. Hardcover EUR 98.– / CHF 152.– / ISBN 978-0-8176-4076-7 new aspect of the technique or object under discussion. One of the goals of this book is to Topics in Cohomological Studies of prepare students for a course in calculus. We Algebraic Varieties recommend it for teachers and students." Publicationes Mathematicae Impanga Lecture Notes Pragacz, P. (Ed.) 2001. X, 229 p. 185 illus. Softcover EUR 22.– / CHF 38.– / ISBN 978-0-8176-3914-3

TM – Trends in Mathematics Tubes 2005. XXVIII, 297 p. Hardcover Gray, A. EUR 99.– / CHF 169.– / ISBN 978-3-7643-7214-9 2nd ed. Torus Actions on Symplectic Manifolds PM – Progress in Mathematics, Vol. 221 2nd revised ed. "The new book by Alfred Gray will do much to Audin, M. make Weyl's tube formula more accessible to modern readers. … Gray's pace is quite PM – Progress in Mathematics, Vol. 93 leisurely, and a gradualte student who has completed a basic differential geometry "Through careful writing, this revised edition course will have little difficulty following the achieves much more than that volume, presentation." Bulletin of the AMS and can be considered, in fact, a new and 2004. XIII, 280 p. Hardcover 38 EUR 69.90 / CHF 119.– / ISBN 978-3-7643-6907-1 Analysis / Operator Theory




A Geometric Approach to Analysis I Differential Forms Amann, H., University of Zürich, Switzerland / Bachman, D., Pitzer College, Claremont, CA, Escher, J., University of Hannover, Germany USA This book is the first of a three volume The modern subject of differential forms introduction to analysis. It is distinguished subsumes classical vector calculus. This text by its modern and clear presentation, presents differential forms from a geometric concentrating always on the essential perspective accessible at the undergraduate concepts. In contrast to most other level. The book begins with basic concepts textbooks, there is no artificial separation such as partial differentiation and multiple between the theories of one variable integration and gently develops the entire and that of many variables. Emphasis is machinery of differential forms. The author placed on the early development of a solid approaches the subject with the idea that foundation in topology. As well, the basics of complex concepts can be built up by analogy complex analysis are covered. from simpler cases, which, being inherently geometric, often can be best understood This book is directed primarily to the visually. students and instructors of beginning courses in analysis. But, with the many Each new concept is presented with a examples, exercises and the supplementary natural picture that students can easily material, it is also suitable for self-study, grasp. Algebraic properties then follow. This as preparation for advanced study, and as a facilitates the development of differential basis for other research in mathematics and forms without assuming a background physics. in linear algebra. Throughout the text, emphasis is placed on applications in 3 "This textbook provides an outstanding dimensions, but all definitions are given introduction to analysis. It is distinguished by so as to be easily generalized to higher its high level of presentation and its focus on dimensions. Containing excellent motivation, the essential." (review of the first German numerous illustrations and solutions to edition) selected problems in an appendix, the material has been tested in the classroom "One advantage of this presentation is that along all three potential course tracks. the power of the abstract concepts are 2006. XVI, 133 p. 39 illus. Softcover convincingly demonstrated using concrete EUR 32.– / CHF 52.– / ISBN 978-0-8176-4499-4 applications." (review of the first German edition)

2005. XV, 426 p. Softcover EUR 59.90 / CHF 105.– / ISBN 978-3-7643-7153-1 39 Analysis / Operator Theory




Analysis II Analysis III Amann, H., University of Zürich, Switzerland / Amann, H., University of Zürich, Switzerland / Escher, J., University of Hannover, Germany Escher, J., University of Hannover, Germany

Due in November 2007 Due in April 2008

The second volume of this introduction The third and last volume of this series into analysis deals with the integration deals with the theory of integration theory of functions of one variable, the and the foundations of global analysis. multidimensional differential calculus Again a modern and clear construction and the theory of curves and line integrals. is emphasized which not only provides a The modern and clear development that well-structured and beautiful theory, but started in Volume I (3-7643-7153-6) also equips the reader with powerful tools continues. In this way a sustainable basis for his further work in mathematics. On will be created which allows to deal with this account, for instance, the Bochner- interesting applications that sometimes go Lebesgue integral is presented which is considerably beyond the material that is an indispensable resource for the modern represented in traditional textbooks. This theory of partial differential equations. applies, for instance, to the exploration Likewise a version of Stoke’s theorem is of Nemytskii operators which enable a proven that meets the practical needs of transparent introduction into the calculus mathematics and theoretical physics as far of variations and the derivation of the as possible. Euler-Lagrange equations. Another example In the same way as in the previous volumes is the presentation of the local theory of numerous prospects of continuative submanifolds of Rn. theories also will be given, and this will 2007. Approx. 424 p. Softcover convey an impression of the importance and EUR 58.– / CHF 92.– / ISBN 978-3-7643-7472-3 the strength of the presented theories to the reader. Additionally these parts will be used to practice and to deepen the provided material. Numerous examples, real calculations, a large number of exercises and many figures make this book a reliable escort for the whole course of studies.

2008. Softcover Approx. EUR 59.90 / CHF 105.– / ISBN 978-3-7643-7479-2

40 Algebraic Multiplicity of Arithmetic and Geometry Around Eigenvalues of Linear Operators Hypergeometric Functions López-Gómez, J., Universidad Complutense Lecture Notes of a CIMPA Summer de Madrid, Spain / Mora-Corral, C., School held at Galatasaray University, University of Oxford, UK Istanbul, 2005 Holzapfel, R.-P., Humboldt University OT – Operator Theory: Advances and Berlin, Germany / UludagÖ, A. Muhammed, Applications, Vol. 177 Galatasaray University, Istanbul, Turkey / Yoshida, M., Kyushu University, Fukuoka, This book brings together all available Japan (Eds) results about the theory of algebraic multiplicities, from the most classic results, PM – Progress in Mathematics, Vol. 260 like the Jordan Theorem, to the most recent developments, like the uniqueness theorem This volume comprises lecture notes, survey and the construction of the multiplicity for and research articles originating from the non-analytic families. CIMPA Summer School Arithmetic and Part I (first three chapters) is a classic Geometry around Hypergeometric Functions course on finite-dimensional spectral theory, held at Galatasaray University, Istanbul Part II (the next eight chapters) presents during June 13-25, 2005. A wide range of the most general results available about topics related to hypergeometric functions the existence and uniqueness of algebraic is covered, thus giving a broad perspective multiplicities for real non-analytic operator of the state of the art in the field. matrices and families, and Part III (last 9,,,SßJV+DUGFRYHU chapter) transfers these results from linear EUR 79.90 / CHF 135.– / ISBN 978-3-7643-8283-4 to nonlinear analysis. The text is as self- contained as possible and suitable for students at the advanced undergraduate or beginning graduate level.

2007. Approx. 332 p. Hardcover EUR 99.– / CHF 169.– / ISBN 978-3-7643-8400-5

41 Analysis / Operator Theory

Holomorphic
 Functions in the Plane and n-dimensional Space

Holomorphic Functions in the Factorization of Matrix and Plane and n-dimensional Space Operator Functions: Gürlebeck, K., Bauhaus University Weimar, The State Space Method Germany / Habetha, K., RWTH Aachen, Bart, H., Erasmus University Rotterdam, The Germany / Sprößig, W., TU Freiberg, Netherlands / Gohberg, I., Tel Aviv University, Germany Israel / Kaashoek, M.A. / Ran, A.C.M., both Vrije Universiteit Amsterdam, The Complex analysis nowadays has higher- Netherlands dimensional analoga: the algebra of complex numbers is replaced then by the non- OT – Operator Theory: Advances and commutative algebra of real quaternions or Applications, Vol. 178 Clifford-algebras. During the last 30 years the so-called quaternionic and Clifford The present book deals with various types or hypercomplex analysis successfully of factorization problems for matrix and developed to a powerful theory with many operator functions. The problems originate applications in analysis, engineering and from, or are motivated by, the theory of mathematical physics. non-selfadjoint operators, the theory This textbook introduces both to classical of matrix polynomials, mathematical and higher-dimensional results based on systems and control theory, the theory of a uniform notion of holomorphy. Historical Riccati equations, inversion of convolution remarks, lots of examples, figures and operators, theory of job scheduling in exercises accompany each chapter. operations research. The book presents a geometric principle of factorization which 2007. Approx. 420 p. With CD-ROM. Softcover has its origins in the state space theory EUR 34.90 / CHF 59.90 / ISBN 978-3-7643-8271-1 of linear input-output systems and in the theory of characteristic operator functions. This principle allows one to deal with various factorizations from one point of view. Covered are canonical factorization, minimal and non-minimal factorizations, pseudo-canonical factorization, degree one factorizations and others. Considerable attention is given to the matter of stability of factorization which in terms of the state space method involves stability of invariant subspaces.

2007. Approx. 400 p. Hardcover EUR 129.– / CHF 219.– / ISBN 978-3-7643-8267-4 42 Harmonic Analysis and Holomorphic Morse Inequalities Applications and Bergman Kernels In Honor of John J. Benedetto Ma, X., Ecole Polytechnique, Paris, France / Heil, C., Georgia Institute of Technology, Marinescu, G., University of Frankfurt, Atlanta, GA, USA (Ed.) Germany

ANHA – Applied and Numerical Harmonic PM – Progress in Mathematics, Vol. 254 Analysis Winner of the Ferran Sunyer i Balaguer This self-contained volume in honor of Prize 2006. John J. Benedetto covers a wide range of topics in harmonic analysis and This book gives for the first time a self- related areas, including weighted-norm contained and unified approach of inequalities, frame theory, wavelet theory, holomorphic Morse inequalities and the time-frequency analysis, and sampling asymptotic expansion of the Bergman kernel theory. The invited chapters pay tribute to on manifolds by using the heat kernel, and John’s many achievements and express an presents also various applications. The point appreciation for both the mathematical and of view comes from local index theory. The personal inspiration he has given to so many book opens perspectives on several active students, coauthors, and colleagues. areas of research in complex, Kähler and Although the scope of the book is broad, symplectic geometry. A large number of chapters are clustered by topic to provide applications are included, e.g., an analytic authoritative expositions that will be of proof of Kodaira's embedding theorem, a lasting interest. The original papers collected solution of the Grauert-Riemenschneider here are written by prominent, well- and Shiffman conjectures, compactification respected researchers and professionals in of complete Kähler manifolds of pinched the field of harmonic analysis. negative curvature, Berezin-Toeplitz quantization, weak Lefschetz theorems, Contributors: A. Aldroubi, L. Baggett, and asymptotics of the Ray-Singer analytic G. Benke, C. Cabrelli, P.G. Casazza, O. torsion. Christensen, W. Czaja, M. Fickus, J.-P. Gabardo, K. Gröchenig, K. Guo, E. Hayashi, C. 2007. Approx. 438 p. Hardcover EUR 59.90 / CHF 105.– / ISBN 978-3-7643-8096-0 Heil, H.P. Heinig, J.A. Hogan, E. Kovacevic, D. Labate, J.D. Lakey, D. Larson, M.T. Leon, S. Li, W.-Q Lim, A. Lindner, U. Molter, A.M. Powell, B. Rom, E. Schulz, T. Sorrells, D. Speegle, K.F. Taylor, J. Tremain, D. Walnut, G. Weiss, E. Wilson, G. Zimmermann

2006. XXVIII, 374 p. 13 illus. Hardcover EUR 78.– / CHF 128.– / ISBN 978-0-8176-3778-1 43 Analysis / Operator Theory




Mathematical Analysis Methods of Nonlinear Analysis Linear and Metric Structures and Applications to Differential Equations Continuity Drabek, P., University West Bohemia, Giaquinta, M., Scuola Normale Superiore, Plzen, Czech Republic / Milota, J., Charles Pisa, Italy / Modica, G., Università degli Studi University Prague, Czech Republic di Firenze, Italy BAT – Birkhäuser Advanced Texts Due in October 2007 In this book, the basic methods of nonlinear This self-contained work on linear and analysis are emphasized and illustrated in metric structures focuses on studying simple examples. Every considered method continuity and its applications to finite- and is motivated, explained in a general form but infinite-dimensional spaces. in the simplest possible abstract framework, and its applications are shown, particularly The book is divided into three parts. The to boundary value problems for elementary first part introduces the basic ideas of ordinary or partial differential equations. linear and metric spaces, including the The text is organized in two levels – Jordan canonical form of matrices and the a self-contained basic and, organized in spectral theorem for self-adjoint and normal appendices, an advanced level for the more operators. The second part examines the experienced reader. role of general topology in the context of metric spaces and includes the notions of 2007. 580 p. Hardcover EUR 69.90 / CHF 119.– / ISBN 978-3-7643-8146-2 homotopy and degree. The third and final part is a discussion on Banach spaces of continuous functions, Hilbert spaces and the spectral theory of compact operators. This book motivates the study of linear and metric structures with examples, observations, exercises, and illustrations. It may be used in the classroom setting or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering.

2007. XVIII, 470 p. 128 illus. Softcover EUR 58.– / CHF 98.– / ISBN 978-0-8176-4375-1

2007. XVIII, 465 p. 128 illus. Hardcover EUR 128.– / CHF 208.– / ISBN 978-0-8176-4374-4 44 Modern Operator Theory and Modern Trends in Pseudo- Applications Differential Operators The Igor Borisovich Simonenko Toft, J., Växjö University, Växjö, Sweden / Anniversary Volume Wong, M. W. / Zhu, H., both York University, Erusalimsky, Y.M., Rostov State University, Toronto, ON, Canada (Eds) Russia / Gohberg, I., Tel Aviv University, Israel / Grudsky, S.M., CINVESTAV, Mexico-City, OT – Operator Theory: Advances and Mexico / Rabinovich, V., IPN, Mexico-City, Applications, Vol. 172 Mexico / Vasilevski, N., CINVESTAV, Mexico- City, Mexico (Eds) The ISAAC Group in Pseudo-Differential Operators (IGPDO) met at the Fifth ISAAC OT – Operator Theory: Advances and Congress held at Università di Catania in Applications, Vol. 170 Italy in July, 2005. This volume consists of papers based on lectures given at the This volume is dedicated to the eminent special session on pseudodifferential Russian mathematician Igor Borisovich operators and invited papers that bear on Simonenko on the occasion of his 70th the themes of IGPDO. birthday. The contributions are written by Nineteen peer-reviewed papers represent leading experts and present the state of the modern trends in pseudo-differential art in a number of areas originally initiated operators. Topics include partial differential in pioneer works by I. B. Simonenko. Among equations, global analysis, geometry, the topics covered are Fredholm theory for quantization, Wigner transforms, Weyl singular integral and convolution operators, transforms on Lie groups, mathematical estimates for singular integral operators physics and timefrequency analysis. The p on Carleson curves acting in L spaces articles will be of interest to graduate with variable exponents, the finite section students and researchers in analysis, method for band-dominated and Toeplitz mathematical physics and mathematical operators, Szegö-type theorems, and the sciences. This collection of essays and averaging method for nonlinear equations. research articles under the banner of IGPDO The book testifies to the wide mathematical is a valuable complement to the volumes interest of I. B. Simonenko and includes a "Advances in Pseudo-Differential Operators" biography, his list of publications and a list and "Pseudo-Differential Operators and of his Ph.D. students. Related Topics" published in the same series in 2004 and 2006, respectively. 2007. VI, 256 p. 12 illus. Hardcover EUR 128.– / CHF 208.– / ISBN 978-3-7643-7736-6 2007. VI, 342 p. Hardcover EUR 139.– / CHF 229.– / ISBN 978-3-7643-8097-7

45 Analysis / Operator Theory



Non-spectral Asymptotic Analysis Nonstandard Analysis of One-Parameter Operator Väth, M., Freie Universität Berlin, Germany Semigroups This book presents an introduction into Emel'yanov, E.Y., Middle East University, Ankara, Turkey Robinson's nonstandard analysis. Nonstandard analysis is the application OT – Operator Theory: Advances and of model theory in analysis. However, Applications, Vol. 173 the reader is not expected to have any background in model theory; instead, In this book, non-spectral methods are some background in analysis, topology, presented and discussed that have been or functional analysis would be useful - developed over the last two decades for although the book is as much self-contained the investigation of asymptotic behavior as possible and can be understood after of operator semigroups. This concerns in a basic calculus course. Unlike some particular Markov semigroups in L1-spaces, other texts, it does not attempt to teach motivated by applications to probability elementary calculus on the basis of theory and dynamical systems. Recently nonstandard analysis, but it points to some many results on the asymptotic behaviour applications in more advanced analysis. of Markov semigroups were extended to Such applications can hardly be obtained positive semigroups in Banach lattices with by standard methods such as a deeper order-continuous norm, and to positive investigation of Hahn-Banach limits or of semigroups in non-commutative L1-spaces. finitely additive measures. Related results, historical notes, exercises, 2007. VIII, 252 p. Hardcover and open problems accompany each EUR 38.– / CHF 62.– / ISBN 978-3-7643-7773-1 chapter.

2007. VIII, 174 p. Hardcover EUR 58.– / CHF 94.– / ISBN 978-3-7643-8095-3

46 Reprint of the 1994 ed.

Notions of Convexity Operator Theory in Inner Product Hörmander, L., University of Lund, Sweden Spaces Förster, K.-H., TU Berlin, Germany / MBC – Modern Birkhäuser Classics Jonas, P., TU Berlin, Germany / Langer, H., TU Vienna, Austria / Trunk, C., TU Berlin, The first two chapters of this book are Germany (Eds) devoted to convexity in the classical sense, for functions of one and several OT – Operator Theory: Advances and real variables respectively. This gives a Applications, Vol. 175 background for the study in the following chapters of related notions which occur This volume contains contributions written in the theory of linear partial differential by participants of the 4th Workshop on equations and complex analysis such Operator Theory in Krein Spaces and as (pluri-)subharmonic functions, Applications, which was held at the TU pseudoconvex sets, and sets which are Berlin, Germany, December 17 to 19, convex for supports or singular supports 2004. The workshop covered topics from with respect to a differential operator. In spectral, perturbation and extension addition, the convexity conditions which theory of linear operators and relations in are relevant for local or global existence inner product spaces, including spectral of holomorphic differential equations are analysis of differential operators, the theory discussed, leading up to Trépreau’s theorem of generalized Nevanlinna functions and on sufficiency of condition (capital Greek related classes of functions, spectral theory letter Psi) for microlocal solvability in the of matrix polynomials, and problems from analytic category. scattering theory.

At the beginning of the book, no 2007. VI, 240 p. Hardcover prerequisites are assumed beyond calculus EUR 129.– / CHF 219.– / ISBN 978-3-7643-8269-8 and linear algebra. Later on, basic facts from distribution theory and functional analysis are needed. The major part of the book should therefore be accessible to graduate students so that it can serve as an introduction to complex analysis in one and several variables. The last sections, however, are written mainly for readers familiar with microlocal analysis.

2007. VIII, 414 p. Softcover EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4584-7

47 Analysis / Operator Theory

Operator Theory, Analysis and Polynomial Convexity Mathematical Physics Stout, E.L., University of Washington, Janas, J., IMPAN, Warsaw, Poland / Seattle, USA Kurasov, P., Lund Institute of Technology, Lund, Sweden / Laptev, A., Royal Institute of PM – Progress in Mathematics, Vol. 261 Technology, Stockholm, Sweden / Naboko, S., St. Petersburg University, St. This comprehensive monograph is devoted Petersburg, Russia / Stolz, G., University of to the study of polynomially convex sets, Alabama at Birmingham, AL, USA (Eds) which play an important role in the theory of functions of several complex variables. OT – Operator Theory: Advances and Important features of Polynomial Convexity: Applications, Vol. 174 · Presents the general properties of polynomially convex sets with particular This volume contains lectures delivered attention to the theory of the hulls of one- by the participants of the International dimensional sets. Conference Operator Theory and its · Motivates the theory with numerous Applications in Mathematical Physics examples and counterexamples, which (OTAMP 2004), held at the Mathematical serve to illustrate the general theory and Research and Conference Center in Bedlewo to delineate its boundaries. near Poznan, Poland. The idea behind · Examines in considerable detail questions these lectures was to present interesting of uniform approximation, especially on ramifications of operator methods in current totally real sets, for the most part on research of mathematical physics. The compact sets but with some attention main topics are functional models of non- to questions of global approximation on selfadjoint operators, spectral properties noncompact sets. of Dirac and Jacobi matrices, Dirichlet-to- · Discusses important applications, e.g., to Neumann techniques, Lyapunov exponents the study of analytic varieties and to the methods, and inverse spectral problems for theory of removable singularities for CR quantum graphs. functions. 2007. VI, 257 p. Hardcover EUR 129.– / CHF 219.– / ISBN 978-3-7643-8134-9 This beautiful exposition of a rich and complex theory, which contains much material not available in other texts, is destined to be the standard reference for many years, and will appeal to all those with an interest in multivariate complex analysis.

2007. X, 439 p. Hardcover EUR 69.90 / CHF 119.– / ISBN 978-0-8176-4537-3 48 Positivity

2nd ed.

Positivity Spectral Theory of Linear Boulabiar, K., Carthago University, Tunesia / Operators Buskes, G., University of Mississippi, Oxford, and Spectral Systems in Banach MS, USA / Triki, A., Tunis University, Tunesia Algebras (Eds) Müller, V., Czech Academy of Sciences, Prague, Czech Republic Trends in Mathematics OT – Operator Theory: Advances and Due in October 2007 Applications, Vol. 139 This book contains nine well-organized Due in September 2007 survey articles dealing with topics around positivity, with a strong emphasis on This book is dedicated to the spectral theory functional analysis. It provides insight of linear operators on Banach spaces and of into more classical areas like spaces of elements in Banach algebras. It presents a continuous functions, f-algebras, and survey of results concerning various types integral operators; also, modern areas are of spectra, both of single and n-tuples of touched, such as vector measures, operator elements. Typical examples are the one- spaces, ordered tensor products, and non- sided spectra, the approximate point, commutative Banach function spaces. essential, local and Taylor spectrum, and 2007. Approx. 350 p. Hardcover their variants. EUR 99.– / CHF 169.– / ISBN 978-3-7643-8477-7 The theory is presented in a unified, axiomatic and elementary way. Many results appear here for the first time in a monograph. The material is self-contained. Only a basic knowledge of functional analysis, topology, and complex analysis is assumed. The monograph should appeal both to students who would like to learn about spectral theory and to experts in the field. It can also serve as a reference book.

2007. Approx. 424 p. Hardcover EUR 129.– / CHF 219.– / ISBN 978-3-7643-8264-3

49 Analysis / Operator Theory

Reprint of the 1983 ed.

System Theory, the Schur Tata Lectures on Theta I Algorithm and Multidimensional Mumford, D., Brown University, Providence, Analysis RI, USA Alpay, D. / Vinnikov, V., both University of the Negev, Beer Sheva, Israel (Eds) MBC – Modern Birkhäuser Classics

OT – Operator Theory: Advances and The first of a series of three volumes Applications, Vol. 176 surveying the theory of theta functions and its significance in the fields of This volume contains six peer-refereed representation theory and algebraic articles written on the occasion of the geometry, this volume deals with the basic workshop 'Operator theory, system theory theory of theta functions in one and several and scattering theory: multidimensional variables, and some of its number theoretic generalizations and related topics', held applications. at the Department of Mathematics of the Requiring no background in advanced Ben-Gurion University of the Negev during algebraic geometry, the text serves as a the period June 26-July 1, 2005. The papers modern introduction to the subject. present the newest developments in key 2007. XIII, 235 p. 7 illus. Softcover directions of current research in complex EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4572-4 analysis and operator theory. Topics considered include Schur analysis, hierarchical semiseparable matrices, canonical forms for pairs of quaternionic matrices, the theory of homogeneous operators, algebras of fractions of continuous functions, and moment problems. Schur analysis in its various aspects occupies more than half of the volume, and moments problems have also an important place in the papers presented here. The volume will be of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.

2007. IX, 322 p. Hardcover EUR 129.– / CHF 219.– / ISBN 978-3-7643-8136-3 50 Reprint 1st ed. of the 1991. 2nd 1984 ed. printing

Tata Lectures on Theta II Tata Lectures on Theta III Jacobian theta functions and Mumford, D., Brown University, Providence, differential equations RI, USA Mumford, D., Brown University, Providence, RI, USA MBC – Modern Birkhäuser Classics

MBC – Modern Birkhäuser Classics This volume is the third of three in a series surveying the theory of theta functions The second in a series of three volumes which play a central role in the fields of surveying the theory of theta functions, complex analysis, algebraic geometry, this volume gives emphasis to the special number theory and most recently particle properties of the theta functions associated physics. with compact Riemann surfaces and how Based on lectures given by the author at they lead to solutions of the Korteweg-de- the Tata Institute of Fundamental Research Vries equations as well as other non-linear in Bombay, these volumes constitute a differential equations of mathematical systematic exposition of theta functions, physics. beginning with their historical roots as This book presents an explicit elementary analytic functions in one variable (Volume construction of hyperelliptic Jacobian I), touching on some of the beautiful ways varieties and is a self-contained introduction they can be used to describe moduli spaces to the theory of the Jacobians. It also ties (Volume II), and culminating in a methodical together nineteenth-century discoveries comparison of theta functions in analysis, due to Jacobi, Neumann, and Frobenius algebraic geometry, and representation with recent discoveries of Gelfand, McKean, theory (Volume III). Moser, John Fay, and others. Researchers and graduate students in A definitive body of information and research mathematics and physics will find these on the subject of theta functions, this volumes to be valuable additions to their volume will be a useful addition to individual libraries. and mathematics research libraries. 2007. VIII, 202 p. 2 illus. Softcover EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4570-0 2007. XIV, 272 p. 21 illus. Softcover EUR 34.90 / CHF 59.90 / ISBN 978-0-8176-4569-4

51 Analysis / Operator Theory

The Extended Field of Operator The Maximum Principle Theory Pucci, P., Università degli Studi di Perugia, Dritschel, M.A., University of Newcastle, UK Italy / Serrin, J., University of Minnesota, (Ed.) MN, USA

OT – Operator Theory: Advances and PNLDE – Progress in Nonlinear Differential Applications, Vol. 171 Equations and Their Applications, Vol. 73

This volume contains contributions Due in September 2007 originating from the International Workshop on Operator Theory and Its Applications Maximum principles are bedrock results in (IWOTA) held in Newcastle upon Tyne in July the theory of second order elliptic equations. 2004. The articles expertly cover a broad This principle, simple enough in essence, range of material at the cutting edge of lends itself to a quite remarkable number of functional analysis and its applications. subtle uses when combined appropriately with other notions. Topics include scattering and time varying systems, pseudodifferential and singular Intended for a wide audience, the book operators, weighted composition operators provides a clear and comprehensive and hyperinvariant subspaces, and explanation of the various maximum interpolation and lifting problems on Hilbert principles available in elliptic theory, from and Krein spaces. their beginning for linear equations to recent work on nonlinear and singular equations. 2007. XV, 388 p. Hardcover EUR 149.– / CHF 249.– / ISBN 978-3-7643-7979-7 2007. Approx. 200 p. Hardcover EUR 49.90 / CHF 85.– / ISBN 978-3-7643-8144-8

52 A Concise Introduction
 to the Theory of Integration Stroock, D. W.

"The author succeeded in choosing the right level of generality and showed how a good combination of a measure and integration course and advanced calculus can be done. Strongly recommended to students as well Wavelet Analysis and Applications as to teachers." EMS Newsletter Qian, T., University of Macao, China / Vai, M.I, 3rd ed.1998. 262 p. Hardcover University of Macao, China / Xu, Y., University EUR 42.– / CHF 50.– / ISBN 978-0-8176-4073-6 of Syracuse, NY, USA (Eds) A Topological Introduction ANHA – Applied and Numerical Harmonic
 Analysis to Nonlinear Analysis Brown, R. F. This volume reflects the latest developments 2nd ed. in the area of wavelet analysis and its applications. Since the cornerstone lecture "Written by an expert in fixed point of Yves Meyer presented at the ICM 1990 theory who is well aware of the important in Kyoto, to some extent, wavelet analysis applications of this area to nonlinear has often been said to be mainly an applied analysis and differential equations, the area. However, a significant percentage first edition of this book has been very well of contributions now are connected to received, and has helped both topologists in theoretical mathematical areas, and the learning nonlinear analysis and analysts in concept of wavelets continuously stretches appreciating topological fixed point theory. across various disciplines of mathematics. The second edition has kept the freshness and clarity of style of the first one. The new Key topics: Approximation and Fourier version remains more than even an excellent Analysis / Construction of Wavelets and introduction to the sue of topological Frame Theory / Fractal and Multifractal techniques in dealing with nonlinear Theory / Wavelets in Numerical Analysis / problems." Mathematical Society Time-Frequency Analysis / Adaptive 2004. XI, 184 p. Softcover Representation of Nonlinear and Non- EUR 39.90 / CHF 65.– / ISBN 978-0-8176-3258-8 stationary Signals / Applications, particularly in image processing Advanced Calculus
 Through the broad spectrum, ranging from A Differential Forms pure and applied mathematics to real Approach applications, the book will be most useful for Edwards, H. M. researchers, engineers and developers alike.

2007. XIV, 574 p. With CD-ROM. Hardcover "An inviting, unusual, high-level introduction EUR 128.– / CHF 208.– / ISBN 978-3-7643-7777-9 to vector calculus, based solidly on differential forms. Superb exposition: informal but sophisticated, down-to-earth but general, geometrically and physically intuitive but mathematically rigorous, 53 Analysis / Operator Theory

entertaining but serious. Remarkably diverse An Introduction to the Uncertainty applications, physical and mathematical." Principle The American Mathematical Monthly Hardy's Theorem on Lie Groups $SSUR[SßJV+DUGFRYHU Thangavelu, S. EUR 48.– / CHF 78.– / ISBN 978-0-8176-3707-1 PM – Progress in Mathematics, Vol. 217 Advanced Real Analysis
 Knapp, A. W. "This nicely written book by Thangavelu COR – Cornerstones is concerned with extensions of Hardy's theorem to settings that arise from "It is useful both as a course text and for noncommutative harmonic analysis.... Each self-study. One can see, that its content is chapter contains several applications to near all areas of pure mathematics, as well the heat equation in various settings and as applied mathematics, including statistics, ends with an extensive presentation of mathematical physics, and differential related topics, current research, detailed equations. I think that and this volume turns references to the literature, and lists of to be useful for any mathematical library open problems. This makes the book an and can be recommended to students and invaluable resource for graduate students lecturers." Zentralblatt MATH and researchers in harmonic analysis and 2005. XXIV, 468 p. 6 illus. Hardcover applied mathematics." SIAM Review EUR 48.– / CHF 78.– / ISBN 978-0-8176-4382-9 2004. XII, 174 p. Hardcover EUR 88.– / CHF 130.– / ISBN 978-0-8176-4330-0

An Introduction to Frames Approximation Theory and Riesz Bases

 From Taylor Polynomials to Christensen, O. Wavelets / ANHA – Applied and Numerical Harmonic Christensen, O. Christensen, K. L. Analysis ANHA – Applied and Numerical Harmonic Analysis "The book is well written, the proofs are clear and not too terse, and the work is well suited "Approximation methods and wavelets for use as a textbook. The author has made have found many important applications in many contributions to the theory of frames signal processing. This well-written textbook and Riesz bases, and the book benefits from provides an elementary introduction his scope and perspective." Zentralblatt to approximation theory. The authors MATH concentrate on the presentation of main ideas and demonstrate the great influence "This is the first book giving a comprehensive of classical approximation theory on modern overview over the theory of frames and applied mathematics. This book, with many Riesz basis … The book provides a gentle illustrative examples, is easy to read…[and] introduction into the field, is suitable for self- will be very useful for anyone interested study or for the design of a course, and leads in approximation theory and wavelets." from the beginnings to active research areas. Zentralblatt MATH Hence it should be found in any library." Monatshefte für Mathematik 1st ed. 2004., Corr. 2nd printing 2005, Corr. 3rd printing 2006 2006. XI, 176 p. Softcover 2003. 464 p. 16 illus. Hardcover EUR 28.– / CHF 48.– / ISBN 978-0-8176-3600-5 EUR 88.– / CHF 149.– / ISBN 978-0-8176-4295-2 54 Approximation Theory Using students in Real Analysis so also for teachers Positive Linear Operators in this field." Zentralblatt MATH Paltanea, R. 2005. XXIV, 656 p. 10 illus. Hardcover EUR 58.– / CHF 92.– / ISBN 978-0-8176-3250-2 "This monograph will be of interest to those working in the field of approximation, and C*-algebras and Elliptic Theory it may serve as a good supplementary text Bojarski, B. / Mishchenko, A. / Troitsky, E. / for courses in approximation theory, or as a Weber, A. (Eds) reference text on the subject." Zentralblatt MATH TM – Trends in Mathematics

2004. VIII, 202 p. Softcover 2006. IX, 327 p. Hardcover EUR 69.90 / CHF 119.– / ISBN 978-0-8176-4350-8 EUR 98.– / CHF 158.– / ISBN 978-3-7643-7686-4

Basic Classes of Linear Complex Variables with

 Operators Applications Gohberg, I. / Goldberg, S. / Kaashoek, M. A. Ponnusamy, S. / Silverman, H.

2006. XIII, 513 p. 109 illus. Hardcover "With a name like Gohberg–Goldberg– EUR 48.– / CHF 78.– / ISBN 978-0-8176-4457-4 Kaashoek, it has got to be good. But let me count the ways. If you are interested in Determining Spectra in Quantum learning the basic theories of Hilbert and Theory Banach spaces together with the well- known operators that act on them, this Demuth, M. / Krishna, M. book is for you. It is intended for advanced undergraduate and beginning graduate PMP – Progress in Mathematical Physics, students in mathematics.... The volume is Vol. 44 actually a second edition of Basic Operator Theory by Gohberg and Goldberg.... Exercises "In my opinion, the basic idea of the and examples have been added.... The text is monograph is to help graduate students well written, clear, and readable.... A student working on spectral theory and beginning at the specified level will have no difficulty researchers in the field to build a toolkit. understanding the presentation." The book definitely has more than enough SIAM Review material for this purpose, some of which is quite advanced, and it is very up to date. In 2003. XVII, 423 p. Softcover conclusion, I believe that this book will prove EUR 79.90 / CHF 135.– / ISBN 978-3-7643-6930-9 extremely useful for its target audience (advanced graduate students with an Basic Real Analysis
 interest in this area). Moreover, it will also Knapp, A. W. very much feel at home on the bookshelf of an expert." Mathematical Reviews COR – Cornerstones 2005. X, 219 p. Hardcover EUR 79.90 / CHF 135.– / ISBN 978-0-8176-4366-9 "The volume contains more than 300 problems and a separate section gives hints Equations with Involutive or complete solutions to them. The book seems to be completely unified, carefully Operators reasoned, rich in concepts, methods and Karapetiants, N. / Samko, S. results, and indubitably useful as for 2001. XIII, 427 p. Hardcover EUR 109.– / CHF 179.– / ISBN 978-0-8176-4157-3 55 Analysis / Operator Theory

Extremum Problems for function theory. But the author also studies Eigenvalues of Elliptic Operators byways that come from analysis and algebra.... Altogether, the author treats Henrot, A. advanced topics that lead the reader to modern areas of research. And what is FM – Frontiers in Mathematics important, the topics are presented with 2006. X, 202 p. 16 illus. Softcover an explanation of their interaction with EUR 38.– / CHF 62.– / ISBN 978-3-7643-7705-2 other important parts of mathematics. The presentations of the topics are clear and Fourier Analysis and Convexity the text makes [for] very good reading; basic Brandolini, L. / Colzani, L. / Iosevich, A. / ideas of many concepts and proofs are Travaglini, G. (Eds) carefully described, non-formal introductions to each chapter are very helpful, a rich ANHA – Applied and Numerical Harmonic collection of exercises is well composed Analysis and helps the student to understand the subject." Zentralblatt MATH 2004. VIII, 272 p. 32 illus. Hardcover EUR 74.90 / CHF 125.– / ISBN 978-0-8176-3263-2 2006. XIV, 314 p. 41 illus. Hardcover EUR 58.– / CHF 88.– / ISBN 978-0-8176-4339-3 Generalized Functions Theory and Applications
 Geometry and Spectra of Compact Kanwal, R. P. Riemann Surfaces 3rd ed. Buser, J.

"The advantage of this text is in carefully PM – Progress in Mathematics, Vol. 106 gathered examples explaining how to 1992. 476 p. Hardcover use corresponding properties.... Even EUR 92.– / CHF 151.– / ISBN 978-0-8176-3406-3 the standard material connecting with partial and ordinary differential equations Geometry of State Spaces
 is rewritten in modern terminology." of Operator Algebras Zentralblatt MATH (Review of a previous edition) Alfsen, E. M. / Shultz, F. W.

"An exceptionally clear exposition... The MTA – Mathematics: Theory & Applications exercises at the end of each chapter are well-chosen." The American Mathematical "Notable results…are presented in this Monthly (Review of a previous edition) book in a unified way, with complete and enlightening proofs and comments. 2004. XX, 476 p. 41 illus. Softcover The authors have done fine work for the EUR 86.– / CHF 136.– / ISBN 978-0-8176-4343-0 mathematical community, providing a valuable toolkit for researchers interested Geometric Function Theory in non-associative structures, self-adjoint Explorations in Complex Analysis operator algebras, or areas of functional Krantz, S. G. analysis or mathematical physics where aspects related to convexity and ordered COR – Cornerstones spaces appear…." Zentralblatt MATH

2003. 480 p. Hardcover "The geometric point of view is the unifying EUR 74.90 / CHF 125.– / ISBN 978-0-8176-4319-5 theme in this fine textbook in complex 56 Global Riemannian Geometry: collected at the end of each chapter making Curvature and Topology
 the book ideal as a graduate-level textbook." SIAM Review Markvorsen, S. / Min-Oo, M. 2003. XVII, 423 p. Softcover EUR 79.90 / CHF 135.– / ISBN 978-3-7643-6930-9 ACM – Advanced Courses in Mathematics – CRM Barcelona Infinite Matrices and their Finite 2003. 100 p. Softcover Sections EUR 24.90 / CHF 42.90 / ISBN 978-3-7643-2170-3 An Introduction to the Limit Operator Method Gradient Flows Lindner, M. In Metric Spaces and in the Space of Probability Measures FM – Frontiers in Mathematics Ambrosio, L. / Gigli, N. / Savaré, G. 2006. XV, 191 p. 12 illus. Softcover EUR 38.– / CHF 62.– / ISBN 978-3-7643-7766-3 LM – Lectures in Mathematics. ETH Zürich

2005. VII, 333 p. Softcover Interpolation, Schur Functions EUR 34.90 / CHF 59.90 / ISBN 978-3-7643-2428-5 and Moment Problems Alpay, D. / Gohberg, I. (Eds) Harmonic Analysis, Signal Processing, and Complexity LOLS – Linear Operators and Linear Systems / Festschrift in Honor of the 60th OT – Operator Theory: Advances and Birthday of Carlos A. Berenstein Applications, Vol. 165

Sabadini, I. / Struppa, D. C. / Walnut, D. F. 2006. XI, 302 p. Hardcover (Eds) EUR 128.– / CHF 208.– / ISBN 978-3-7643-7546-1

PM – Progress in Mathematics, Vol. 238 Introduction to Complex
 2005. XI, 162 p. 15 illus. Hardcover Analysis in Several Variables EUR 64.90 / CHF 109.– / ISBN 978-0-8176-4358-4 Scheidemann, V.

Indefinite Linear Algebra “This is a book written with the student and Applications
 in mind: it offers a concise treatment of Gohberg, I. / Lancaster, P. / Rodman, L. complex analysis in several variables, by focusing on special topics rather than "This is a splendidly written book, one of a trying to be a comprehensive treatment of number by three of the world’s leading linear the subject. ... The main importance of this algebraists, that collects many results on book is the fact that it fills a void: there are indefinite linear algebra from the literature relatively few books on several complex and puts them all in a single place. The variables. Any (graduate) student beginning book is based in part on a 1983 book titled work in this area and any instructor Matrices and Indefinite Scalar Products by considering teaching a course in several the same authors and publisher but includes complex variables should definitely take a many contemporary results from the journal look at Professor Scheidemann's work.” literature and elsewhere. In fact, the ends MAA Reviews of many of the chapters provide a guide to 2005. VIII, 171 p. Softcover sources where further materials are to be EUR 24.90 / CHF 42.90 / ISBN 978-3-7643-7490-7 found. There are some excellent exercises 57 Analysis / Operator Theory

Introduction to the Theory of Mathematical Analysis
 Toeplitz Operators with Infinite Approximation and Discrete Index Processes Dybin, V. / Grudsky, S. M. Giaquinta, M. / Modica, G.

OT – Operator Theory: Advances and "This self-contained book aims to introduce Applications, Vol. 137 the main ideas for studying approximation processes, more generally discrete processes 2002. IX, 299 p. Hardcover EUR 159.– / CHF 269.– / ISBN 978-3-7643-6728-2 at graduate level... A key feature this lively yet rigorous and systematic treatment is the historical accounts of ideas and methods of Isomorphisms Between H¹ Spaces the subject. Ideas in mathematics develop in Müller, P. F.X. cultural, historical and economical contexts, thus the authors made brief accounts of MMN – Monografie Matematyczne, Vol. 66 those aspects and used a large number of beautiful illustrations.... Each chapter has a "Ein bedeutendes, in Inhalt und Form short summary where the most important vorzügliches Standardwerk über facts discussed are collected and described. faszinierende, tiefliegende mathematische There is also a large number of exercises Probleme vor, zu deren Lösung viele der inserted at various points into the text." besten Mathematiker beigetragen haben." Zentralblatt MATH Monatshefte für Mathematik 2005. XII, 388 p. 152 illus. Softcover 2005. XIV, 453 p. Hardcover EUR 58.– / CHF 98.– / ISBN 978-0-8176-4337-9 EUR 99.– / CHF 169.– / ISBN 978-3-7643-2431-5 Measure Theory Limit Operators and Their Cohn, D. L. Applications in Operator Theory 1980. 388 p. Softcover Rabinovich, V. / Roch, S. / Silbermann, B. EUR 42.– / CHF 68.– / ISBN 978-0-8176-3003-4

OT – Operator Theory: Advances and Measure Theory and Applications, Vol. 150 Probability 2004. XV, 392 p. Hardcover Adams, M. / Guillemin, V. EUR 169.– / CHF 279.– / ISBN 978-3-7643-7081-7 1996. XIV, 205 p. Hardcover EUR 32.– / CHF 52.– / ISBN 978-0-8176-3884-9 Linear and Quasilinear Parabolic Problems Multiscale Potential Theory
 Volume I: Abstract Linear Theory With Applications to Geoscience Amann, H. Freeden, W. / Michel, V.

MMA – Monographs in Mathematics, Vol. 89 ANHA – Applied and Numerical Harmonic 1995. XXXV, 335 p. Hardcover Analysis EUR 118.– / CHF 188.– / ISBN 978-3-7643-5114-4 "The present book is written for applications in geodesy and geophysics and is hence devoted to classical potential theory with particular attention to wavelet approximation.... Each chapter is concluded 58 with exercises which have solution hints Operator Theory, Systems at the end of the book.... The book is a Theory and Scattering Theory: self-contained and unique presentation of multiscale potential theory, interesting for Multidimensional Generalizations applied mathematicians, geophysicists, etc. Alpay, D. / Vinnikov, V. (Eds) and proper even for students." OT – Operator Theory: Advances and Mathematical Reviews Applications, Vol. 157

2004. XVI, 509 p., 127 illus. Hardcover 2005. XVI, 310 p. Hardcover EUR 92.– / CHF 148.– / ISBN 978-0-8176-4105-4 EUR 129.– / CHF 219.– / ISBN 978-3-7643-7212-5

New Difference Schemes for Operator Theory and Indefinite Partial Differential Equations Inner Product Spaces Ashyralyev, A. / Sobolevskii, P. E. Presented on the Occasion of the OT – Operator Theory: Advances and Retirement of Heinz Langer in the Applications, Vol. 148 Colloquium on Operator Theory, Vienna, March 2004 2004. IX, 443 p. Hardcover EUR 169.– / CHF 279.– / ISBN 978-3-7643-7054-1 Langer, M. / Luger, A. / Woracek, H. (Eds)

Noncommutative Harmonic OT – Operator Theory: Advances and Analysis Applications, Vol. 163 In Honor of Jacques Carmona 2006. XXXII, 379 p. Hardcover EUR 148.– / CHF 238.– / ISBN 978-3-7643-7515-7 Delorme, P. / Vergne, M. (Eds) PM – Progress in Mathematics, Vol. 220 Operator Theory in Krein Spaces 2004. XVI, 509 p., 15 illus. Hardcover and Nonlinear Eigenvalue EUR 79.90 / CHF 135.– / ISBN 978-0-8176-3207-6 Problems Förster, K.-H. / Jonas, P. / Langer, H. (Eds) Nonlinear Elliptic and Parabolic Problems OT – Operator Theory: Advances and A Special Tribute to the Work of Herbert Applications, Vol. 162

Amann 2006. VI, 308 p. Hardcover Chipot, M. / Escher, J. (Eds) EUR 128.– / CHF 208.– / ISBN 978-3-7643-7452-5 PNLDE – Progress in Nonlinear Differential Equations and Their Applications, Vol. 64 Pseudo-Differential Operators and Related Topics 2005. VII, 536 p. Hardcover EUR 168.– / CHF 278.– / ISBN 978-3-7643-7266-8 Boggiatto, P. / Rodino, L. / Toft, J. / Wong, M. W. (Eds) On the Topology of Isolated Singularities in Analytic Spaces OT – Operator Theory: Advances and Applications, Vol. 164 Seade, J. 2006. VI, 244 p. Hardcover PM – Progress in Mathematics, Vol. 241 EUR 108.– / CHF 178.– / ISBN 978-3-7643-7513-3 Winner of the Ferran Sunyer i Balaguer Prize 2005

2006. XIV, 238 p. Hardcover EUR 48.– / CHF 78.– / ISBN 978-3-7643-7322-1 59 Analysis / Operator Theory

Ramsey Methods in Analysis Selected Chapters in the Calculus
 Argyros, S. A. / Todorcevic, S. of Variations Lecture Notes by Oliver Knill ACM – Advanced Courses in Mathematics – Moser, J. CRM Barcelona

2005. VI, 257 p. Softcover LM – Lectures in Mathematics. ETH Zürich EUR 39.90 / CHF 65.– / ISBN 978-3-7643-7264-4 2003. 132 p. Softcover EUR 24.90 / CHF 42.90 / ISBN 978-3-7643-2185-7 Real Analysis DiBenedetto, E. Selected Topics in Complex
 Analysis BAT – Birkhäuser Advanced Texts The S. Ya. Khavinson Memorial Volume "The book serves as a solid building block Eiderman, V. Y. / Samokhin, M. V. (Eds) for research in analysis, PDEs, the calculus of variations, probability theory and OT – Operator Theory: Advances and approximation theory; it provides an excellent Applications, Vol. 158

foundation of real analysis." 2005. 222 p. Hardcover Zentralblatt MATH EUR 119.– / CHF 199.– / ISBN 978-3-7643-7251-4

2002. XXIV, 485 p. Hardcover EUR 74.90 / CHF 125.– / ISBN 978-0-8176-4231-0 Shift-invariant Uniform Algebras on Groups Recent Advances in Operator Grigoryan, S. A. / Tonev, T. V. Theory, Operator Algebras, and their Applications MMN – Monografie Matematyczne, Vol. 68 XIXth International Conference on 2006. IX, 284 p. Hardcover Operator Theory, Timisoara (Romania), EUR 78.– / CHF 128.– / ISBN 978-3-7643-7606-2 2002 Gaspar, D. / Gohberg, I. / Timotin, D. / Sturm-Liouville Theory Vasilescu, F. H. / Zsido, L. (Eds) Past and Present Amrein, W. O. / Hinz, A. M. / Pearson, D. B. OT – Operator Theory: Advances and (Eds) Applications, Vol. 153 2005. XX, 335 p. Hardcover 2005. XVI, 344 p. Hardcover EUR 69.90 / CHF 119.– / ISBN 978-3-7643-7066-4 EUR 128.– / CHF 208.– / ISBN 978-3-7643-7127-2 The Evolution of Applied Harmonic Reconstructive Integral Geometry Analysis Palamodov, V. Models of the Real World Prestini, E. MMA – Monographs in Mathematics, Vol. 98

2004. IX, 164 p. Hardcover ANHA – Applied and Numerical Harmonic EUR 68.– / CHF 108.– / ISBN 978-3-7643-7129-6 Analysis

"The goal of this text is to introduce readers to the topic of harmonic analysis, its history, and its applications. Throughout the book, 60 these three major concerns...are artfully professional mathematicians, and scientists intertwined to form a single, unified narrative. of other types." MathSciNet This is not simply a book about mathematics, 2002. XI, 163 p. Hardcover or even the history of mathematics; it is a EUR 88.– / CHF 118.– / ISBN 978-0-8176-4285-3 story about how the discipline has been applied (to borrow Fourier's expression) Theory of Function Spaces III to 'the public good and the explanation Triebel, H. of natural phenomena.'...It is evident that a great deal of effort has been spent in MMA – Monographs in Mathematics, the preparation of this book. The author Vol. 100 has diligently worked to create a cogent, sensibly organized exposition. The text is 2006. XII, 426 p. Hardcover supplemented with dozens of interesting EUR 128.– / CHF 205.– / ISBN 978-3-7643-7581-2 pictures and graphs....[T]his book constitutes a significant addition to the library of popular The Structure of Functions mathematical works, and a valuable resource Triebel, H. for students of mathematics." MAA Reviews MMA – Monographs in Mathematics, Vol. 97

2001. XII, 425 p. Hardcover "The book under review is a unique and EUR 98.– / CHF 158.– / ISBN 978-3-7643-6546-2 splendid telling of the triumphs of the fast Fourier transform. I can recommend it Time-Frequency and Time-Scale unconditionally." SIAM News Methods 2004. XIX, 349 p., 169 illus. Softcover EUR 72.– / CHF 112.– / ISBN 978-0-8176-4125-2 Adaptive Decompositions, Uncertainty Principles, and Sampling The Functional Calculus for Hogan, J. A. / Lakey, J. D. Sectorial Operators Haase, M. ANHA – Applied and Numerical Harmonic Analysis OT – Operator Theory: Advances and Applications, Vol. 169 "[The] book under review is written from a relatively novel perspective: its goal is to 2006. XIV, 392 p. 8 illus. Hardcover carefully and deeply study the similarities EUR 78.– / CHF 128.– / ISBN 978-3-7643-7697-0 and differences between time-frequency and time-scale methods. Thus, one may view The Implicit Function Theorem the present book as a continuation of the History, Theory, and Applications famous textbook of Ingrid Daubechies [Ten Krantz, S. G. / Parks, H. R. Lectures on Wavelets].... In my opinion, the two books nicely complement each other "This is an excellent book devoted to the and both are a 'must have' for everyone who implicit function theorem and related is interested in a deeper understanding of results (like the inverse function theorem) time-frequency and time-scale methods." that play one of the most important roles Zentralblatt MATH in modern mathematics...The book is 2005. XXII, 390p. 22 illus. Hardcover mainly self-contained and undoubtedly will EUR 78.– / CHF 120.– / ISBN 978-0-8176-4276-1 serve as a useful resource for advanced undergraduates, graduate students, 61 Analysis / Operator Theory

Toeplitz Matrices, Wavelets, Multiscale Systems and
 Asymptotic Linear Algebra, Hypercomplex Analysis and Functional Analysis Alpay, D. (Ed.) Böttcher, A. / Grudsky, S. M. OT – Operator Theory: Advances and 2000. 124 p. Hardcover Applications, Vol. 167 EUR 31.– / CHF 52.– / ISBN 978-3-7643-6290-4 2006. XI, 190 p. Hardcover Torsions of 3-dimensional EUR 128.– / CHF 199.– / ISBN 978-3-7643-7587-4 Manifolds Wavelets and Signal Processing Turaev, V. Debnath, L. (Ed.) PM – Progress in Mathematics, Vol. 208 ANHA – Applied and Numerical Harmonic Analysis "The present monograph covers in great detail the work of the author spanning "A mathematically sound and self-contained almost three decades. …[Establishing an presentation on recent advances in the explicit formula given a 3-manifold] is a highly applicable field of Gabor analysis.… truly remarkable feat… This monograph This book is a must for all interested in contains a wealth of information many signal analysis, and, of course, in particular topologists will find very handy. …Many of in Gabor analysis." Monatshefte für the new points of view pioneered by Turaev Mathematik are gradually becoming mainstream and are spreading beyond the pure topology 2003. XXV, 435 p. Hardcover world. This monograph is a timely and very EUR 108.– / CHF 158.– / ISBN 978-0-8176-4235-8 useful addition to the scientific literature." Mathematical Reviews

2003. X, 196 p. Hardcover EUR 82.– / CHF 132.– / ISBN 978-3-7643-6911-8

Variational Problems in Riemannian Geometry Bubbles, Scans and Geometric Flows Baird, P. / El Soufi, A. / Fardoun, A. / Regbaoui, R. (Eds)

PNLDE – Progress in Nonlinear Differential Equations and Their Applications, Vol. 59

2004. XVII, 148 p. Hardcover EUR 89.90 / CHF 149.– / ISBN 978-3-7643-2432-2

62 Differential Equations / Dynamical Systems



An Invitation to Variational Analysis and Simulation of Fluid Methods in Differential Equations Dynamics Costa, D.G., University of Nevada, Las Vegas, Calgaro, C. / Coulombel, J.-F. / Goudon, T., NV, USA all Université Lille, Villeneuve, France (Eds)

This book is a short introductory text to AMFM – Advances in Mathematical Fluid variational techniques with applications to Mechanics differential equations. It presents a sampling of topics in critical point theory with This volume collects the contributions applications to existence and multiplicity of a conference held in June 2005, at the of solutions in nonlinear problems involving laboratoire Paul Painlevé (UMR CNRS 8524) ordinary differential equations (ODEs) and in Lille, France. The meeting was intended partial differential equations (PDEs). to review hot topics and future trends in fluid dynamics, with the objective to foster Five simple problems in ODEs which exchanges of theoretical and numerical illustrate existence of solutions from a viewpoints. variational point of view are introduced in the first chapter. These problems set The content of the volume can be split into the stage for the topics covered, including three categories: minimization, deformation results, the A first set of contributions is devoted to mountain-pass theorem, the saddle-point the description of the connection between theorem, critical points under constraints, different models of fluid dynamics. An a duality principle, critical points in the important part of these papers relies on presence of symmetry, and problems the discussion of the modeling issues, the with lack of compactness. Each topic is identification of the relevant dimensionless presented in a straightforward manner, coefficients, and on the physical and followed by one or two illustrative interpretation of the models. applications. A second set of contributions considers the question of the stability of particular The concise, straightforward, user-friendly structures in fluid mechanics equations. approach of this textbook will appeal The third set of contributions is concerned to graduate students and researchers with numerical issues; it is indeed a crucial interested in differential equations, analysis, challenge to design numerical schemes that and functional analysis. are able to capture the complex features 2007. XII, 140 p., 9 illus. Softcover generated by fluid flows. EUR 39.90 / CHF 65.– / ISBN 978-0-8176-4535-9 2007. VIII, 246 p. 55 illus., 8 tab. Hardcover EUR 69.90 / CHF 119.– / ISBN 978-3-7643-7741-0

63 Differential Equations / Dynamical Systems

Differential Equations, Chaos and Variational Problems

Control of Coupled Partial Differential Equations, Chaos and Differential Equations Variational Problems Kunisch, K., Universität Graz, Austria / Staicu, V., University of Aveiro, Portugal (Ed.) Leugering, G., Universität Erlangen- Nürnberg, Germany / Sprekels, J., PNLDE – Progress in Nonlinear Differential Humboldt-Universität zu Berlin, Germany / Equations and Their Applications, Vol. 75 Tröltzsch, F., Technische Universität Berlin, Germany (Eds) Due in November 2007

ISNM – International Series of Numerical This collection of original articles and Mathematics, Vol. 155 surveys written by leading experts in their fields is dedicated to Arrigo Cellina and This volume contains selected contributions James A. Yorke on the occasion of their 65th originating from the ‘Conference on birthday. The purpose of the volume is to Optimal Control of Coupled Systems of bring the reader to the border of research Partial Differential Equations’, held at in differential equations, a fast evolving the ‘Mathematisches Forschungsinstitut branch of mathematics that, besides being Oberwolfach’ in April 2005. a main subject for mathematicians, is one of the mathematical tools most used both by With their articles, leading scientists cover a scientists and engineers. broad range of topics such as controllability, feedback-control, optimality systems, It treats the nonlinear aspects of the theory model-reduction techniques, analysis and of differential equations, of the calculus optimal control of flow problems, and fluid- of variations, dynamical systems, as well structure interactions, as well as problems as topics related to chaotic systems and of shape and topology optimization. their relations with physical problems. The reader will find both some surveys of the Applications affected by these findings are more recent developments in several topics distributed over all time and length scales related with differential equations, chaos starting with optimization and control of and variational problems, as well as new quantum mechanical systems, the design contributions in active and important areas of piezoelectric acoustic micro-mechanical of research as young measures, optimal devices, or optimal control of crystal growth control, differential and delay-differential to the control of bodies immersed into a equations and inclusions. fluid, airfoil design, and much more. 2007. Approx. 500 p. Hardcover 2007. VI, 388 p. 54 illus. Hardcover Approx. EUR 148.– / CHF 238.– / ISBN 978-3-7643-8481-4 EUR 99.– / CHF 158.– / ISBN 978-3-7643-7720-5

64
 Functional Analysis and Evolution Equations

Fuchsian Reduction Functional Analysis and Evolution Applications to Geometry, Cosmology Equations and Mathematical Physics Dedicated to Gunter Lumer Kichenassamy, S., Université de Reims Amann, H., Universität Zürich, Switzerland / Champagne-Ardenne, Reims, France Arendt, W., Universität Ulm, Germany / Hieber, M., TU Darmstadt, Germany / PNLDE – Progress in Nonlinear Differential Nagel, R., Universität Tübingen, Germany / Equations and Their Applications, Vol. 71 Neubrander, F., Lousiana State University, Baton Rouge, LA, USA / Nicaise, S., Due in September 2007 Université Valenciennes, France (Eds) Fuchsian Reduction is a method for explicitly representing solutions of nonlinear PDEs Due in November 2007 near singularities. The technique has multiple applications in soliton theory, Gunter Lumer was an outstanding Einstein's equations and cosmology, mathematician whose works have great stellar models, laser collapse, conformal influence on the research community geometry and combustion. Developed in in mathematical analysis and evolution the 1990s for semilinear wave equations, equations. He was at the origin of the Fuchsian Reduction research has grown breath-taking development the theory of in response to those problems in pure and semigroups saw after the pioneering book applied mathematics, where numerical of Hille and Phillips from 1957. This volume computations fail. contains invited contributions presenting the state of the art of these topics and This work unfolds systematically in four reflecting the broad interests of Gunter parts, with theory and applications nicely Lumer. interwoven. The methods used in various applications examined in Part III may serve Particular care is taken of the many as prototypes for future new applications. applications to linear and nonlinear Background results in weighted Sobolev partial differential equations and concrete and Holder spaces as well as Nash-Moser evolutionary models from natural sciences implicit function theorem are provided. Most and technology. chapters contain a problem section and notes with references to the literature. 2007. Approx. 400 p. Hardcover This volume can be used as a text in Approx. EUR 98.– / CHF 159.– / ISBN 978-3-7643-7793-9 graduate courses in PDEs and/or Algebra or as a resource for researchers working with applications to Fuchsian Reduction.

2007. Approx. 316 p. Hardcover Approx. EUR 109.95 / CHF 180.50 / ISBN 978-0-8176-4352-2 65 Differential Equations / Dynamical Systems



Hyperbolic Problems and Limit Cycles of Differential Regularity Questions Equations Padula, M. / Zanghirati, L., both Università Christopher, C., Plymouth University, UK / di Ferrara, Italy (Eds) Li, C., Beijing University, China

TM – Trends in Mathematics ACM – Advanced Courses in Mathematics - CRM Barcelona This book discusses new challenges in the quickly developing field of hyperbolic This textbook contains the lecture series problems. Particular emphasis lies on originally delivered at the "Advanced Course the interaction between nonlinear partial on Limit Cycles of Differential Equations" differential equations, functional analysis in the Centre de Rechercha Mathematica and applied analysis as well as mechanics. Barcelona in 2006. The book originates from a recent The topics covered are the center-focus conference focusing on hyperbolic problems problem for polynomial vector fields, and and regularity questions. It is intended for the application of abelian integrals to limit researchers in functional analysis, PDE, fluid cycle bifurcations. Both topics are related to dynamics and differential geometry. the authors' interests in Hilbert's sixteenth problem, but would also be of interest 2007. VI, 231 p. Hardcover to those working more generally in the EUR 88.– / CHF 138.– / ISBN 978-3-7643-7450-1 qualitative theory of dynamical systems.

2007. 180 p. Softcover EUR 29.90 / CHF 49.90 / ISBN 978-3-7643-8409-8

66
 Partial
 Differential Equations

4th ed. 2nd ed.

Linear Partial Differential Partial Differential Equations Equations for Scientists and DiBenedetto, E., Vanderbilt University, Engineers Nashville, TN, USA Myint-U, T., Manhattan College, New York, COR – Cornerstones NY, USA / Debnath, L., University of Texas Pan-American, Edinburgh, TX, USA Due in October 2007 This significantly expanded fourth edition is designed as an introduction to the theory This self-contained text offers an and applications of linear PDEs. The authors elementary introduction to partial provide fundamental concepts, underlying differential equations (pdes), primarily principles, a wide range of applications, and focusing on linear equations, but also various methods of solutions to PDEs. In providing some perspective on nonlinear addition to essential standard material on equations. The classical treatment is the subject, the book contains new material mathematically rigorous with a generally that is not usually covered in similar texts theoretical layout, though indications to and reference books, including conservation some of the physical origins of pdes are laws, the spherical wave equation, made throughout. the cylindrical wave equation, higher- Large parts of this revised second edition dimensional boundary-value problems, the have been streamlined and rewritten to finite element method, fractional partial incorporate years of classroom feedback, differential equations, and nonlinear partial correct errors, and improve clarity. Most differential equations with applications. of the necessary background material has This book will primarily serve as a textbook been incorporated into the complements for the first two courses in PDEs, or and certain nonessential topics have in a course on advanced engineering been given reduced attention (noticeably, mathematics. The book may also be used numerical methods) to improve the flow of as a reference for graduate students, presentation. researchers, and professionals in modern The exposition is replete with examples, applied mathematics, mathematical problems and solutions that complement physics, and engineering. Readers will the material to enhance understanding gain a solid mathematical background in and solidify comprehension. The only PDEs, sufficient to start interdisciplinary prerequisites are advanced differential collaborative research in a variety of fields. calculus and some basic Lp theory.

2007. XXII, 778 p. 79 illus. Hardcover 2008. Approx. 350 p. 10 illus. Hardcover EUR 78.– / CHF 128.– / ISBN 978-0-8176-4393-5 Approx. EUR 48.– / CHF 78.– / ISBN 978-0-8176-4551-9

67 Differential Equations / Dynamical Systems

Phase Space Analysis of Partial Self-Dual Gauge Field Vortices Differential Equations An Analytical Approach Bove, A., Università di Bologna, Italy / Tarantello, G., Università di Roma "Tor Colombini, F., Università di Pisa, Italy / Vergata", Italy Del Santo, D., Università di Trieste, Italy (Eds) PNLDE – Progress in Nonlinear Differential PNLDE – Progress in Nonlinear Differential Equations and Their Applications, Vol. 72 Equations and Their Applications, Vol. 69 In modern theoretical physics, gauge field This collection of original articles and theories are of great importance since they surveys treats linear and nonlinear keep internal symmetries and account for aspects of the theory of partial differential phenomena such as spontaneous symmetry equations. Phase space analysis methods, breaking, the quantum Hall effect, charge also known as microlocal analysis, have fractionalization, superconductivity and yielded striking results over the past years supergravity. This monograph discusses and have become one of the main tools of specific examples of self-dual gauge field investigation. Equally important is their role structures, including the Chern-Simons in many applications to physics, for example, model, the abelian-Higgs model, and Yang- in quantum and spectral theory. Mills gauge field theory. Key topics: The author builds a foundation for gauge The Cauchy problem for linear and nonlinear theory and self-dual vortices by introducing hyperbolic equations / Scattering theory / the basic mathematical language of gauge Inverse problems / Hyperbolic systems / theory and formulating examples of Chern- Gevrey regularity of solutions of PDEs / Simons-Higgs theories. Thereafter, the Analytic hypoellipticity Electroweak theory and self-gravitating Electroweak strings are examined. The final Unique features: Original articles are self- chapters treat elliptic problems involving contained with full proofs / Survey articles ChernSimmons models, concentration- give a quick and direct introduction to compactness principles, and Maxwell- selected topics evolving at a fast pace Chern-Simons vortices. Many open Graduate students at various levels as well questions still remain in the field and are as researchers in PDEs and related fields examined in this work in connection with will find this an excellent resource. Liouville-type equations and systems. The goal of this text is to form an understanding 2007. XIV, 329 p. Hardcover EUR 118.– / CHF 188.– / ISBN 978-0-8176-4511-3 of self-dual solutions arising in a variety of physical contexts.

2007. XIV, 334 p. Hardcover Approx. EUR 58.– / CHF 88.– / ISBN 978-0-8176-4310-2 68 Singularly Perturbed Spectral Theory of Infinite-Area Boundary-Value Problems Hyperbolic Surfaces Barbu, L., Ovidius Unversity, Constanta, Borthwick, D., Emory University, Atlanta, GA, Romania / Moroúanu, G., Central European USA University, Budapest, Hungary PM – Progress in Mathematics, Vol. 256 ISNM – International Series of Numerical Mathematics, Vol. 156 This book is a self-contained monograph on spectral theory for non-compact Riemann This book offers a detailed asymptotic surfaces, focused on the infinite-volume analysis of some important classes of case. A hyperbolic surface of infinite volume singularly perturbed boundary value provides for a qualitatively different context problems which are mathematical models from either the compact or finite-volume for various phenomena in biology, chemistry, cases, a context in which spectral theory and engineering. of the Laplacian operator emerges as scattering theory. The authors are particularly interested in nonlinear problems, which have hardly By focusing on the scattering theory of been examined so far in the literature hyperbolic surfaces, this work provides a dedicated to singular perturbations. This compelling introductory example which book proposes to fill in this gap, since most will be accessible to a broad audience. applications are described by nonlinear The book opens with an introduction to models. Their asymptotic analysis is very the geometry of hyperbolic surfaces. Then interesting, but requires special methods a thorough development of the spectral and tools. The treatment presented in theory of a geometrically finite hyperbolic this volume combines some of the most surface of infinite volume is given, which successful results from different parts serves also as an attractive introduction to of mathematics, including functional geometric scattering theory and the theory analysis, singular perturbation theory, of resonances. The final sections of the partial differential equations, and evolution recent developments, for which no thorough equations. Thus a complete justification expository account exists, include resonance for the replacement of various perturbed counting (illustrating techniques developed models with corresponding reduced models, for potential and obstacle scattering), which are simpler but in general have a analysis of the Selberg zeta function, the different character, is offered to the reader. Poisson formula relating the resonance set Specific applications are addressed, such to the length spectrum, and the proof that as propagation of electromagnetic or the resonance set determines a surface up mechanical waves, fluid flows, or diffusion to finitely many possibilities. processes. 2007. Approx. 240 p. 10 illus. Hardcover 2007. Approx. 248 p. Hardcover Approx. EUR 44.95 / CHF 74.– / ISBN 978-0-8176-4524-3 EUR 89.90 / CHF 149.– / ISBN 978-3-7643-8330-5 69 Differential Equations / Dynamical Systems



Superlinear Parabolic Problems Vortices in the Magnetic Ginzburg- Blow-up, Global Existence and Steady Landau Model States Sandier, E., Université Paris-XII Val-de- Quittner, P., University of Bratislava, Slovakia / Marne, Créteil, France / Serfaty, S., Courant Souplet, P., Université Paris XIII, France Institute of Mathematical Sciences, New York, NY, USA BAT – Birkhäuser Advanced Texts PNLDE – Progress in Nonlinear Differential This book is devoted to the qualitative Equations and Their Applications, Vol. 70 study of solutions of superlinear elliptic and parabolic partial differential equations With the discovery of type-II and systems. This class of problems superconductivity by Abrikosov, the contains, in particular, a number of prediction of vortex lattices, and their reaction-diffusion systems which arise in experimental observation, quantized various mathematical models, especially in vortices have become a central object of chemistry, physics and biology. study in superconductivity, superfluidity, and Bose-Einstein condensation. This 2007. Approx. 550 p. Hardcover EUR 69.90 / CHF 119.– / ISBN 978-3-7643-8441-8 book presents the mathematics of superconducting vortices in the framework of the acclaimed two-dimensional Ginzburg- Landau model, with or without magnetic field, and in the limit of a large Ginzburg- Landau parameter, kappa. It begins by introducing mathematical tools such as the vortex balls construction and Jacobian estimates. Among the applications presented are: the determination of the vortex densities and vortex locations for energy minimizers in a wide range of regimes of applied fields, the precise expansion of the so-called first critical field in a bounded domain, the existence of branches of solutions with given numbers of vortices, and the derivation of a criticality condition for vortex densities of non- minimizing solutions.

2007. XII, 322 p. 13 illus. Hardcover EUR 98.– / CHF 158.– / ISBN 978-0-8176-4316-4 70 Adaptive Finite Element Methods Continuum
 for Differential Equations Thermomechanics Bangerth, W. / Rannacher, R. Bermúdez de Castro, A. PMP – Progress in Mathematical Physics, LM – Lectures in Mathematics. ETH Zürich Vol. 43 "Most graduate students in engineering and 2005. XII, 209 p. Hardcover physical sciences should be able to handle EUR 59.90 / CHF 105.– / ISBN 978-3-7643-7265-1 the material without excessive difficulty. The presentation is very much a tutorial approach Contributions to Nonlinear promoting a hands-on experience, reinforced Analysis with practical exercises at the end of each A Tribute to D.G. de Figueiredo on the chapter, aimed towards practitioners.... [The] Occasion of his 70th Birthday present book provides a gentler introduction Cazenave, T. / Costa, D. / Lopes, O. / for the beginning graduate student or Manásevich, R. / Rabinowitz, P. / Ruf, B. / nonspecialist practitioner." SIAM Review Tomei, C. (Eds) 2003. VIII, 207 p. Softcover EUR 24.90 / CHF 42.90 / ISBN 978-3-7643-7009-1 PNLDE – Progress in Nonlinear Differential Equations and Their Applications, Vol. 66 Analysis of Dirac Systems
 2006. XII, 518 p. Hardcover and Computational Algebra EUR 138.– / CHF 248.– / ISBN 978-3-7643-7149-4 Colombo, F. / Sabadini, I. / Sommen, F. / Struppa, D. C. Differential Equations with PMP – Progress in Mathematical Physics, Symbolic Computation Vol. 39 Wang, D. / Zheng, Z. (Eds)

"Altogether the book is a pioneering, TM – Trends in Mathematics and quite successful, attempt to apply 2005. VIII, 374 p. Hardcover computational and algebraic techniques to EUR 79.90 / CHF 135.– / ISBN 978-3-7643-7368-9 several branches of hypercomplex analysis … The book provides a very different way to look Elements of Nonlinear Analysis at some important questions which arise Chipot, M. when one tries to develop multi-dimensional theories." Mathematical Reviews BAT – Birkhäuser Advanced Texts 2004. XIV, 332 p. Hardcover EUR 79.90 / CHF 135.– / ISBN 978-0-8176-4255-6 "This book covers some of the main aspects of nonlinear analysis. It concentrates on Conformal and Potential Analysis stressing the fundamental ideas instead in Hele-Shaw Cells of elaborating on the intricacies of them more esoteric ones…it encompass[es] many Gustafsson, B. / Vasil'ev, A. methods of dynamical systems in quite simple and original settings. I recommend AMFM – Advances in Mathematical Fluid this book to anyone interested in the main Mechanics and essential concepts of nonlinear analysis 2006. X, 231 p. Hardcover as well as the relevant methodologies and EUR 58.– / CHF 92.– / ISBN 978-3-7643-7703-8 applications." Mathematical Reviews

2000. VII, 256 p. Hardcover EUR 46.– / CHF 78.– / ISBN 978-3-7643-6406-9 71 Differential Equations / Dynamical Systems

Elliptic and Parabolic Problems belongs on the bookshelf of specialists in A Special Tribute to the Work of Haim nonlinear pde/math biology." Brezis Bulletin of the AMS Bandle, C. / Berestycki, H. / Brighi, B. / 2005. XIII, 366 p. 7 illus. Hardcover Brillard, A. / Chipot, M. / Coron, J.–M. / EUR 118.– / CHF 188.– / ISBN 978-0-8176-4302-7 Sbordone, C. / Shafrir, I. / Valente, V. / Vergara Caffarelli, G. (Eds) Homogenization of Partial Differential Equations PNLDE – Progress in Nonlinear Differential Marchenko, V. A. / Khruslov, E. Y. Equations and Their Applications, Vol. 63

2005. VIII, 470 p. Hardcover PMP – Progress in Mathematical Physics, EUR 139.– / CHF 229.– / ISBN 978-3-7643-7249-1 Vol. 46

2006. XII, 398 p. 28 illus. Hardcover Energy Methods for Free Boundary EUR 108.– / CHF 168.– / ISBN 978-0-8176-4351-5 Problems Applications to Nonlinear PDEs and l goes to plus Infinity Fluid Mechanics Chipot, M. Antontsev, S.N. / Diaz, J.I. / Shmarev, S. BAT – Birkhäuser Advanced Texts PNLDE – Progress in Nonlinear Differential Equations and Their Applications, Vol. 48 2002. 188 p. Hardcover EUR 54.– / CHF 88.– / ISBN 978-3-7643-6646-9 "… very important and useful monograph …The book is addressed to pure or applied Integral Methods in Science and mathematicians at universities and in Engineering industry and also to graduate level students. Theoretical and Practical Aspects All results are presented in a systematic Constanda, C. / Nashed, Z. / Rollins, D. (Eds) and self-contained manner, precise proofs being usually sufficiently detailed. The topic 2006. XVI, 312 p. 51 illus. Hardcover makes the book appealing for any specialist EUR 72.– / CHF 112.– / ISBN 978-0-8176-4377-5 interested in applications of energy methods for free boundary problems in nonlinear PDEs Introduction to Partial
 and fluid mechanics." Mathematical Reviews Differential Equations

2002. XI, 329 p. 16 illus. Hardcover with MATLAB EUR 148.– / CHF 208.– / ISBN 978-0-8176-4123-8 Cooper, J. M.

Free Energy and Self-Interacting ANHA – Applied and Numerical Harmonic Particles Analysis Suzuki, T. "Cooper's book stands out among a host PNLDE – Progress in Nonlinear Differential of PDE works. It not only adequately treats Equations and Their Applications, Vol. 62 traditional core partial differential equation methods but also integrates analytic "The book itself is well organized and solutions with numerical schemes through readable although very technical. It is a book the implementation of Matlab routines. As about the mathematics of systems and not an application-oriented book that provides biology or thermodynamics…. [It] certainly the basic definitions, theorems, and analyses 72 of the solutions, it contains the core topics needed for a sound background in partial Nonlinear Analysis and differential equations.... One of the book's Differential Equations excellent features is the availability of Grossinho, M.R. / Ramos, M. / Rebelo, C. / illustrative and challenging problems, some Sanchez, L. (Eds) of which have been cast in the form of MATLAB projects. Such features undoubtedly PNLDE – Progress in Nonlinear Differential make this a suitable work for a laboratory Equations and Their Applications, Vol. 43 component of an introductory PDEs course. Recommended. Undergraduates through 2001. XIII, 380 p. Hardcover faculty." Choice EUR 109.– / CHF 179.– / ISBN 978-0-8176-4188-7 1st ed. 1998. Corr. 2nd printing Nonlinear Partial 2000. 550 p. 50 illus. Hardcover
 EUR 84.– / CHF 118.– / ISBN 978-0-8176-3967-9 Differential Equations for Scientists and Engineers Kolmogorov Equations for Debnath, L.
 Stochastic PDEs 2nd ed. Da Prato, G. "Nonlinear partial differential equations is ACM – Advanced Courses in Mathematics – an old and vast area of research. There is a CRM Barcelona big and well-developed theory as well as a huge variety of applications. It seems to be "Many of the results presented here are impossible to embrace this subject in a single appearing in book form for the first time. (...) monograph. The book of Lokenath Debnath The writing style is clear. Needless to say, the is a quite successful attempt. It is a second level of mathematics is high and will no doubt edition of the book, considerably extended tax the average mathematics and physics and revised. The author is trying to balance graduate student. For the devoted student, the deep and rigorous theory and a variety however, this book offers an excellent basis of approaches and often seminal examples. for a 1-year course on the subject. It is To examples, he gives the leading, more than definitely recommended." JASA Reviews just an illustrative, role.... The book could serve as a good selection of choices for a 2004. VII, 182 p. Softcover EUR 34.90 / CHF 59.90 / ISBN 978-3-7643-7216-3 kernel of a graduate or even undergraduate module in Applied Mathematics or New Trends in the Theory of Engineering Sciences. For more fundamental courses the book is also useful, since it Hyperbolic Equations contains a lot of motivations and well Reissig, M. / Schulze, B.–W. (Eds) elaborated exercises.... Overall, it is a useful book for teaching, a rich source of examples, APDE – Advances in Partial Differential and I am happy to have it on a shelf of my Equations / OT – Operator Theory: Advances library." UK Nonlinear News and Applications, Vol. 159 "Exceptionally well written. Highly 2005. XIII, 511 p. Hardcover EUR 149.– / CHF 249.– / ISBN 978-3-7643-7283-5 recommended." Choice 2005. XXII, 737p. 77illus. Hardcover EUR 78.– / CHF 128.– / ISBN 978-0-8176-4323-2

73 Differential Equations / Dynamical Systems

special emphasis on the applications related Nonlinear Partial Differential
 Equations with Applications to image restoration and nonlinear filters.... The book is written with great care, paying Roubicek, T. also a lot of attention to the bibliographical ISNM – International Series of Numerical and historical notes. It is a recommended Mathematics, Vol. 153 reading for all researchers interested in this field." Zentralblatt MATH 2005. XVIII, 405 p. Hardcover EUR 109.– / CHF 179.– / ISBN 978-3-7643-7293-4 2004. XIV, 340 p. Hardcover EUR 89.90 / CHF 149.– / ISBN 978-3-7643-6619-3 Nonlinear Stability of Finite Volume Methods for Hyperbolic Partial Differential Equations and Conservation Laws Functional Analysis and Well-Balanced Schemes for The Philippe Clément Festschrift Sources Koelink, E. / van Neerven, J. / de Pagter, B. / Sweers, G. (Eds) Bouchut, F.

FM – Frontiers in Mathematics OT – Operator Theory: Advances and Applications, Vol. 168 "This is a very interesting and useful book which provides a systematic presentation 2006. VI, 294 p. Hardcover EUR 128.– / CHF 198.– / ISBN 978-3-7643-7600-0 of the theory of finite volume methods and numerical simulations for hyperbolic systems of conservation laws. The author provides a Pseudodifferential Operators and unified approach and notation to the study of Nonlinear PDEs nonlinear stability of finite volume methods Taylor, M. for hyperbolic systems of conservation laws as the accent is put on the development of tools PM – Progress in Mathematics, Vol. 100 and design of schemes. The exposition of the 1991. Softcover book is very clear. It will be a very useful tool EUR 79.90 / CHF 135.– / ISBN 978-0-8176-3595-4 for the researchers in this field as well as for engineers." Zentralblatt MATH Semiconcave Functions,
 2004. VIII, 134 p. Softcover Hamilton-Jacobi Equations, EUR 29.90 / CHF 49.90 / ISBN 978-3-7643-6665-0 and Optimal Control Parabolic Quasilinear Equations Cannarsa, P. / Sinestrari, C. Minimizing Linear Growth "One of the most attractive features of Functionals this book is the interplay between several Andreu-Vaillo, F. / Caselles, V. / Mazon, J. M. fields of mathematical analysis.... Despite the many topics addressed in the book, PM – Progress in Mathematics, Vol. 223 the required mathematical background for reading it is limited because all the Award-winning monograph of the necessary notions are not only recalled, but Ferran Sunyer i Balaguer Prize 2003. also carefully explained, and the main results proved. "This book is devoted to PDE's of elliptic and The book will be found very useful by parabolic type associated to functionals experts in nonsmooth analysis, nonlinear having a linear growth in the gradient, with a control theory and PDEs, in particular, as 74 well as by advanced graduate students in circle of readers, from students to experts… this field. They will appreciate the many and specialists in the field." detailed examples, the clear proofs and Zentralblatt MATH the elegant style of presentation, the fairly 2001. Hardcover comprehensive and up-to-date bibliography EUR 48.– / CHF 78.– / ISBN 978-3-7643-6545-5 and the very pertinent historical and bibliographical comments at the end of each chapter." Mathematical Reviews The Symmetry Perspective
 2005. XII, 306 p. Hardcover From Equilibrium to Chaos EUR 119.– / CHF 199.– / ISBN 978-0-8176-4084-2 in Phase Space and Physical Space 2005. XII, 306 p. Softcover Golubitsky, M. / Stewart, I. EUR 59.90 / CHF 99.– / ISBN 978-0-8176-4336-2 1st ed. 2002. Corr. 2nd printing

PM - Progress in Mathematics, Vol. 200 Slow Rarefied Flows Theory and Application to Micro- Winner of the Ferran Sunyer i Balaguer Electro-Mechanical Systems Prize 2000 Cercignani, C. "This book was awarded the Ferran Sunyier PMP – Progress in Mathematical Physics, i Balaguer Prize for 2001, and I am sure that Vol. 41 it will be a very useful resource not only for researchers in this area but also for those 2006. XI, 166 p. Hardcover EUR 58.– / CHF 98.– / ISBN 978-3-7643-7534-8 who want to obtain the benefits of using this approach in applications." Surface Evolution Equations Bulletin of the AMS A Level Set Approach "[The] rich collection of examples makes the Giga, Y. book … extremely useful for motivation and for spreading the ideas to a large Community. MMA – Monographs in Mathematics, Vol. 99 This [review] is far from complete and cannot reflect the authors’ unique way of presenting "In view of its detailed and thorough examples, asking questions, giving answers presentation this book will be a valuable or forming an intuition." source for everyone interested in the level set Mathematical Reviews approach to surface evolution equations." 2003. XVII, 325 p. Hardcover Zentralblatt MATH EUR 78.– / CHF 148.– / ISBN 978-3-7643-6609-4 2006. XII, 264 p. Hardcover 2003. XVII, 325 p. Softcover EUR 88.– / CHF 148.– / ISBN 978-3-7643-2430-8 EUR 44.90 / CHF 75.– / ISBN 978-3-7643-2171-0 The Navier-Stokes Equations An Elementary Functional
 Time-Dependant Partial Analytic Approach Differential Equations and Their Sohr, H. Numerical Solution Kreiss, H.–O. / Ulmer Busenhart, H. BAT – Birkhäuser Advanced Texts LM – Lectures in Mathematics. ETH Zürich

2001. VII, 82 p. Softcover "The book is written in a well-arranged way, EUR 21.– / CHF 34.– / ISBN 978-3-7643-6125-9 easy to survey and with utilization of the newest results..it is [written] for an extensive 75 Differential Equations / Dynamical Systems

Travelling Waves in Nonlinear Diffusion-Convection Reaction Gilding, B. H. / Kersner, R.

PNLDE – Progress in Nonlinear Differential Equations and Their Applications, Vol. 60

2004. IX, 208 p. Hardcover EUR 89.90 / CHF 149.– / ISBN 978-3-7643-7071-8

Trends in Partial Differential Equations of Mathematical Physics Rodrigues, J. F. / Seregin, G. / Urbano, J. M. (Eds)

PNLDE – Progress in Nonlinear Differential Equations and Their Applications, Vol. 61

2005. XIV, 282 p. Hardcover EUR 109.– / CHF 179.– / ISBN 978-3-7643-7165-4

Vector-valued Laplace Transforms and Cauchy Problems Arendt, W. / Batty, C. J. K. / Hieber, M. / Neubrander, F.

MMA – Monographs in Mathematics, Vol. 96

2001. XI, 523 p. Hardcover EUR 99.– / CHF 158.– / ISBN 978-3-7643-6549-3

Vortices in Bose-Einstein Condensates Aftalion, A.

PNLDE – Progress in Nonlinear Differential Equations and Their Applications, Vol. 67

2006. XII, 203 p. 18 illus. Hardcover EUR 84.– / CHF 132.– / ISBN 978-0-8176-4392-8

76 Systems and Control



2nd ed.

Introduction to Mathematical Representation and Control of Systems Theory Infinite Dimensional Systems Linear Systems, Identification and Bensoussan, A., University of Texas Control Richardson, TX, USA / Da Prato, G., Scuola Heij, C., Erasmus University Rotterdam, Normale Superiore, Pisa, Italy / The Netherlands / Ran, A. / Schagen, F., Delfour, M.C., Université de Montréal, both Vrije Universiteit Amsterdam, The Montreal, QC, Canada / Mitter, S.K., Netherlands Massachusetts Institute of Technology, Cambridge, MA, USA This book provides an introduction to the theory of linear systems and control SC – Systems & Control: Foundations & for students in business mathematics, Applications econometrics, computer science, and engineering. The focus is on discrete time This reorganized, revised, and expanded systems, which are the most relevant edition of a two-volume set is a self- in business applications, as opposed to contained account of quadratic cost continuous time systems, requiring less optimal control for a large class of infinite mathematical preliminaries. dimensional systems. The subjects treated are among the central The book is structured into five parts. Part topics of deterministic linear system theory: I reviews basic optimal control and game controllability, observability, realization theory of finite dimensional systems, which theory, stability and stabilization by serves as an introduction to the book. feedback, LQ-optimal control theory. Kalman Part II deals with time evolution of some filtering and LQC-control of stochastic generic controlled infinite dimensional systems are also discussed, as are modeling, systems and contains a fairly complete time series analysis and model specification, account of semigroup theory. It incorporates along with model validation. Exercises using interpolation theory and exhibits the role MATLAB, presented on an accompanying CD, of semigroup theory in delay differential enhance the main concepts and techniques and partial differential equations. Part III in the text. studies the generic qualitative properties of controlled systems. Parts IV and V examine 2007. VII, 166 p. With CD-ROM. Softcover EUR 38.– / CHF 62.– / ISBN 978-3-7643-7548-5 the optimal control of systems when performance is measured via a quadratic cost. Boundary control of parabolic and hyperbolic systems and exact controllability are also covered.

2007. XXVI, 575 p. 5 illus. Hardcover EUR 69.90 / CHF 119.– / ISBN 978-0-8176-4461-1 77 Systems and Control

Advances in Control, Hybrid Dynamical Systems Communication Networks, and Controller and Sensor Switching Transportation Systems Problems In Honor of Pravin Varaiya Savkin, A. V. / Evans, R. J. Abed, E. H. (Ed.) CE – Control Engineering SC – Systems & Control: Foundations & Applications "The book is a self-contained text assuming only a basic mathematical knowledge of 2005. XXXV, 358 p. 80 illus. Hardcover modern control theory. It is an excellent EUR 68.– / CHF 108.– / ISBN 978-0-8176-4385-0 up-to-date authoritative reference covering original results with complete mathematical Convex Functional Analysis proofs and illustrative examples. The Kurdila, A. J. / Zabarankin, M. monograph is intended both for researchers and advanced postgraduate students SC – Systems & Control: Foundations & working in the areas of control engineering, Applications theoretical computer science, and applied mathematics interested in the emerging field "The book provides not only the bare of hybrid dynamic systems." minimum of the theory required to Zentralblatt MATH understand the principles of functional, convex and set-valued analysis, but also 2002. X, 154 p. 22 illus. Hardcover EUR 108.– / CHF 178.– / ISBN 978-0-8176-4224-2 a concise summary of definitions and theorems so that the text is self-contained." Zentralblatt MATH Max-Plus Methods for Nonlinear Control and Estimation 2005. XIV, 228 p. Hardcover EUR 79.90 / CHF 135.– / ISBN 978-3-7643-2198-7 McEneaney, W. M.

Current Trends in Nonlinear SC – Systems & Control: Foundations & Applications Systems and Control In Honor of Petar Kokotovic and "As is well known, control and estimation Turi Nicosia of continuous time and continuous space Menini, L. / Zaccarian, L. / Abdallah, C. T. nonlinear systems are difficult to handle. One frequently uses dynamic programming SC – Systems & Control: Foundations & methods to treat such problems. Central to Applications this approach are solutions of the associated Hamilton-Jacobi-Bellman (HJB) equations. 2006. XX, 560 p. 162 illus. Hardcover EUR 98.– / CHF 152.– / ISBN 978-0-8176-4383-6 The book under review is motivated by solutions of such problems.... The entire book is divided into nine chapters and an appendix. Chapter 1 provides an introduction, and states why the problem to be studied and methods are needed. Concepts of max- plus methods are also provided.... All in all, this is a nicely written book that introduces important topics." Mathematical Reviews

2006. XIII, 241 p. 17 illus. Hardcover EUR 72.– / CHF 112.– / ISBN 978-0-8176-3534-3 78 Optimal Control
 Partially Observable Linear An Introduction Systems Under Dependent Noises Locatelli, A. Bashirov, A. E.

"The style of the book reflects the author’s SC – Systems & Control: Foundations & wish to assist in the effective learning Applications of optimal control by suitable choice of topics, the mathematical level used, and by "The book is very well and carefully written. including numerous illustrated examples. It is an excellent reference on the complete The book has been written for undergraduate sets of equations for the optimal controls and postgraduate students who already and for the optimal filters under wide know control theory, basic linear systems and band noises and shifted white noises and possess a background in calculus…. In my their possible application to navigation of view the book suits its function and purpose, spacecraft. Independently, it can serve as in that it gives a student a comprehensive a useful reference on the part of functional coverage of optimal control in an easy-to- analysis that is needed for problems read fashion." Measurement and Control of infinite-dimensional linear systems theory. The book is written for both applied 2001. VIII, 294 p. Hardcover EUR 45.– / CHF 72.– / ISBN 978-3-7643-6408-3 mathematicians and theoretically oriented engineers as well as for students at a Optimal Control and Viscosity graduate level. The control community will Solutions of Hamilton-Jacobi- find this reference an important contribution Bellman Equations to the modern control and estimation theory literature." Mathematical Reviews Bardi, M. / Capuzzo-Dolcetta, I. 2003. XXVI, 334 p. Hardcover SC – Systems & Control: Foundations & EUR 89.90 / CHF 149.– / ISBN 978-3-7643-6999-6 Applications "With an excellent printing and clear Switching in Systems
 structure (including an extensive subject and Control and symbol registry) the book offers a deep Liberzon, D. insight into the praxis and theory of optimal control for the mathematically skilled SC – Systems & Control: Foundations & reader. All sections close with suggestions Applications for exercises exciting to self control and active collaboration. Finally, with more than "The book is written in depth, and all the 500 cited references, an overview on the topics are closely related to the basic history and the main works of this modern problems in analysis and control of switched mathematical discipline is given." ZAA systems. Furthermore, all the main results SSßJV+DUGFRYHU presented here are contributed originally EUR 208.– / CHF 278.– / ISBN 978-0-8176-3640-1 by the author and his collaborators. These results, along with the author's recent work on nonlinear control, play a pioneering role in the area of switched systems and switching control. Therefore, the reviewer recommends this book to all researchers who are interested in studying switched/hybrid systems and their applications. Control theorists and mathematicians will find that this book is a very comprehensive reference 79 Systems and Control

source. ...The author has made great efforts Uniform Output Regulation
 in the arrangement of the book so that the of Nonlinear Systems content is easier to follow." A Convergent Dynamics Approach IEEE Transactions on Automatic Control Pavlov, A. / van de Wouw, N. / Nijmeijer, H. 2003. XII, 234 p., 43 illus. Hardcover EUR 108.– / CHF 158.– / ISBN 978-0-8176-4297-6 SC – Systems & Control: Foundations & Applications The Mathematics of Internet 2006. IX, 172 p. 38 illus. Hardcover Congestion Control EUR 48.– / CHF 78.– / ISBN 978-0-8176-4445-1 Srikant, R.

SC – Systems & Control: Foundations & Applications

"This first book on the mathematics of congestion control [is] very useful for both students and researchers, but also for system engineers developing new Internet protocols. This is an elementary book for graduate students that uses a rich pallet of mathematical tools: convex optimization and control theory (Lyapunov stability and Nyquist criteria and stochastic processes). The tools are summarized well in appendices which makes the book self-contained and easy to read. The book is very well written and will undoubtedly remain a major reference on the topic for years to come." Mathematical Reviews

2004. XII, 164 p. Hardcover EUR 62.– / CHF 95.– / ISBN 978-0-8176-3227-4

The State Space Method Generalizations and Applications Alpay, D. / Gohberg, I. (Eds)

LOLS – Linear Operators and Linear Systems / OT – Operator Theory: Advances and Applications, Vol. 161

2006. VII, 270 p. Hardcover EUR 128.– / CHF 208.– / ISBN 978-3-7643-7370-2

80 Probability and Statistics



A First Course in Statistics for Advances in Distribution Theory, Signal Analysis Order Statistics, and Inference Woyczynski, W.A., Case Western Reserve Balakrishnan, N., McMaster University, University, Cleveland, OH, USA Hamilton, ON, Canada / Castillo, E., University of Cantabria, Santander, Spain / This essentially self-contained, deliberately Sarabia, J.M., University of Cantabria, compact, and user-friendly textbook is Santander, Spain (Eds) designed for a first, one-semester course in statistical signal analysis for a broad SIT – Statistics for Industry and Technology audience of students in engineering and the physical sciences. The emphasis Barry Arnold has made fundamental throughout is on fundamental concepts contributions to many different areas of and relationships in the statistical theory statistics, including distribution theory, of stationary random signals, explained in a Bayesian inference, multivariate analysis, concise, yet fairly rigorous presentation. bounds and orderings, and characterization Topics and Features: Fourier series and problems. Organized to honor Arnold’s transforms are developed from scratch, significant contributions to the field, this emphasizing the time-domain vs. frequency- volume is an outgrowth of the "International domain duality. Basic concepts of probability Conference on Distribution Theory, Order theory, laws of large numbers, the stability of Statistics, and Inference," held at the fluctuations law, and statistical parametric University of Cantabria, Santander, Spain. inference procedures are presented. Several distinguished and active Introduction of the fundamental concept researchers highlight some of the recent of a stationary random signal and its developments in statistical distribution autocorrelation structure. Many diverse theory, order statistics and their properties, examples as well as end-of-chapter as well as inferential methods associated problems and exercises. with them. Applications to survival analysis, reliability, quality control, and environmental Developed by the author over the course problems are emphasized. of several years of classroom use, A First Course in Statistics for Signal Analysis may This comprehensive reference work be used by junior/senior undergraduates will serve the statistical and applied or graduate students in electrical, systems, mathematics communities, as well as computer, and biomedical engineering, as practitioners, researchers, and graduate well as the physical sciences. students in applied probability and statistics, reliability engineering, and 2006. XII, 206 p. 65 illus. Softcover biostatistics. EUR 38.– / CHF 68.– / ISBN 978-0-8176-4398-0 2006. LIII, 483 p. 26 illus. Hardcover EUR 108.– / CHF 172.– / ISBN 978-0-8176-4361-4 81 Probability and Statistics

Advances in Statistical Methods for the Health Sciences

Advances in Statistical Methods Introduction to Probability with for the Health Sciences Statistical Applications Applications to Cancer and AIDS Schay, G., University of Massachusetts, Studies, Genome Sequence Analysis, Boston, MA, USA and Survival Analysis Auget, J.-L., UFR des Sciences Due in September 2007 Pharmaceutiques, Nantes, France / Balakrishnan, N., McMaster University, Introduction to Probability with Statistical Hamilton, ON, Canada / Mesbah, M., Applications targets non-mathematics Université de Bretagne Sud, Vannes, France / students, undergraduates and graduates, Molenberghs, G., Hasselt University, who do not need an exhaustive treatment Diepenbeek, Belgium (Eds) of the subject. While the presentation is rigorous and contains theorems and proofs, SIT – Statistics for Industry and Technology linear algebra is largely avoided and only a minimal amount of multivariable calculus is Statistical methods have become an needed. increasingly important and integral part Key features: of research in the health sciences. Many Clear definitions, simplified notation and sophisticated methodologies have been techniques of statistical analysis, combined developed for specific applications and with well-chosen examples and exercises, problems. This self-contained volume covers motivate the exposition / Theory and a wide range of topics pertaining to new applications carefully balanced / Topics statistical methods in the health sciences. include random phenomena – discrete and The chapters, written by leading experts continuous random variables – expectations in their respective fields, are thematically and variance, and common probability divided into the following areas: prognostic distributions such as the binomial, Poisson, studies and general epidemiology, and normal / Combinatorial principles pharmacovigilance, quality of life, survival involve all four arithmetic operations; analysis, clustering, safety and efficacy emphasis on tree diagrams / References to assessment, clinical design, models for the more advanced concepts throughout the environment, genomic analysis, and animal book, but may be safely skipped, depending health. on the reader This comprehensive volume will serve For students in a variety of disciplines, the health science community as well as including computer science, engineering, practitioners, researchers, and graduate natural and social sciences. students in applied probability, statistics, and biostatistics. 2007. Approx. 328 p. 44 illus. Softcover Approx. EUR 39.95 / CHF 65.50 / ISBN 978-0-8176-4497-0 2007. XL, 540 p. 86 illus. Hardcover 82 EUR 118.– / CHF 192.– / ISBN 978-0-8176-4368-3


3rd ed.

Seminar on Stochastic Analysis, Statistical Analysis of Extreme Random Fields and Applications V Values Centro Stefano Franscini, Ascona, May with Applications to Insurance, Finance, 2005 Hydrology and Other Fields Dalang, R.C., Ecole Polytechnique Fédérale, Reiss, R.-D. / Thomas, M., University of Lausanne, Switzerland / Dozzi, M., Siegen, Germany Université Henri Poincaré, Nancy, France / Russo, F., Université de Paris XIII, The statistical analysis of extreme data is Villetaneuse (Eds) important for various disciplines, including hydrology, insurance, finance, engineering PP – Progress in Probability, Vol. 59 and environmental sciences. This book provides a self-contained introduction to the Due in September 2007 parametric modeling, exploratory analysis and statistical interference for extreme This volume contains twenty-eight refereed values. research or review papers presented at The entire text of this third edition has been the 5th Seminar on Stochastic Processes, thoroughly updated and rearranged to meet Random Fields and Applications, which the new requirements. Additional sections took place at the Centro Stefano Franscini and chapters, elaborated on more than (Monte Verità) in Ascona, Switzerland, from 100 pages, are particularly concerned with May 30 to June 3, 2005. The seminar focused topics like dependencies, the conditional mainly on stochastic partial differential analysis and the multivariate modeling equations, random dynamical systems, of extreme data. Parts I–III about the infinite-dimensional analysis, approximation basic extreme value methodology remain problems, and financial engineering. unchanged to some larger extent, yet 2007. Approx 500 p. Hardcover notable are, e.g., the new sections about EUR 129.– / CHF 219.– / ISBN 978-3-7643-8457-9 "An Overview of Reduced-Bias Estimation" (co-authored by M.I. Gomes), "The Spectral Decomposition Methodology", and "About Tail Independence" (co-authored by M. Frick), and the new chapter about "Extreme Value Statistics of Dependent Random Variables" (co-authored by H. Drees). Other new topics, e.g., a chapter about "Environmental Sciences", (co-authored by R.W. Katz), are collected within Parts IV–VI.

2007. Approx. 530 p. Softcover EUR 55.98 / CHF 99.– / ISBN 978-3-7643-7230-9 83 Probability and Statistics

A Modern Approach to as it is used in statistics, engineering, biology Probability Theory and finance." Publications of the Int’l Statistical Institute Fristedt, B. E. / Gray, L. F. 1st ed. 1998. 3rd printing PA – Probability and its Applications 2003. 230 p. 10 illus. Hardcover EUR 52.– / CHF 78.– / ISBN 978-0-8176-4055-2

"Covers the essentials in a clear and readable fashion… A must for professionals A Stochastic Control Framework and an attractive text for a graduate course." for Real Options in Strategic American Mathematical Monthly Valuation

1996. 780 p. Hardcover Vollert, A. EUR 88.– / CHF 138.– / ISBN 978-0-8176-3807-8 "The present book develops a framework A Natural Introduction to of stochastic control for real options. The
 Probability Theory tools are stochastic impulse control systems leading to partial differential equations Meester, R. and variational inequalities. The book is particularly useful for readers interested "Most textbooks designed for a one-year in applications in management science." course in mathematical statistics cover Monatshefte für Mathematik probability in the first few chapters as preparation for the statistics to come. This 2003. 288 p. 77 illus. Hardcover book in some ways resembles the first EUR 79.90 / CHF 135.– / ISBN 978-0-8176-4258-7 part of such textbooks: it's all probability, no statistics. But it does the probability Adventures in Stochastic more fully than usual, spending lots of time Processes on motivation, explanation, and rigorous Resnick, S. I. development of the mathematics…. The exposition is usually clear and eloquent…. "Definitely the best textbook for a second Overall, this is a five-star book on probability course in probability now available. Written that could be used as a textbook or as a with excruciating lucidity, and with an supplement." MAA Online excellent choice of exercises." —Gian-Carlo

2003. XI, 191 p. Softcover Rota, The Bulletin of Mathematics Books EUR 24.90 / CHF 42.90 / ISBN 978-3-7643-2188-8 1992. 640 p. Hardcover EUR 59.90 / CHF 99.– / ISBN 978-0-8176-3591-6 A Probability Path
 Resnick, S. An Introduction to Continuous- Time Stochastic Processes "This book is different from the classical Theory, Models, and Applications to textbooks on probability theory in that it Finance, Biology, and Medicine treats the measure theoretic background not as a prerequisite but as an integral part Capasso, V. / Bakstein, D. of probability theory. The result is that the reader gets a thorough and well-structured MSSET – Modeling and Simulation in framework needed to understand the deeper Science, Engineering and Technology concepts of current day advanced probability "This is an introductory text on continuous time stochastic processes and their 84 applications to finance and biology. The first Analysis of Variance for Random part of the book reviews basic probability Models, Volume 1: Balanced Data and then covers the basic continuous time Theory, Methods, Applications, and processes such as Brownian motion, point Data Analysis processes, etc.... The book will be useful
 for applied mathematicians who are not Sahai, H. / Ojeda, M. M. probabilists to get a quick flavour of the 2004. XXVIII, 484 p. 9 illus. Hardcover techniques of stochastic calculus, and for EUR 98.– / CHF 152.– / ISBN 978-0-8176-3230-4 professional probabilists to get a quick flavour of the applications." Analysis of Variance for
 Mathematical Reviews Random Models, 2005. XI, 343 p. 13 illus. Hardcover Volume 2: Unbalanced Data EUR 68.– / CHF 108.– / ISBN 978-0-8176-3234-2 Theory, Methods, Applications, and An Introduction to Stochastic Data Analysis Sahai, H. / Ojeda, M. M. Integration Chung, K. L. / Williams, R. J. "This two-volume set provides an 2nd ed. encyclopedic and historical account of the theory and application of classical random- PA – Probability and its Applications effects models.… For users of random- "An attractive text…written in [a] lean and effects models and those interested in the precise style…eminently readable. Especially theoretical development of this topic, these pleasant are the care and attention devoted books are a valuable resource.… Throuhgout to details… A very fine book." Mathematical the [text], the authors go to great lengths to Reviews provide references to original sources that would allow the reader to fill in details that 1990. 300 p. Hardcover are not included in the text.… By selecting an EUR 54.90 / CHF 90.– / ISBN 978-0-8176-3386-8 appropriate subset of topics, an instructor could create an outstanding graduate-level Analysis of Variance course on random-effects models.… These Fixed, Random and Mixed Models books provide an excellent unified reference Sahai, H. / Ageel, M. I. on the methodological developments associated with classical random-effects "The student and practitioner will benefit models over the past 50 years." Journal of from a well-balanced mixture of statistical the American Statistical Association theory, formulas, and explanations and the great care exercised by the authors in 2005. XXV, 480 p. 14 illus. Hardcover discussing properties and analysis of fixed, EUR 98.– / CHF 152.– / ISBN 978-0-8176-3229-8 random, and mixed models in parallel…. The book employs several devices to aid Counting, Sampling and readability…. In summary, the text is…a Integrating: Algorithms and valuable source for the practitioner and Complexity nonstatistics major… It is well organized and Jerrum, M. well written at a difficulty level that precisely meets the target audience’s needs." LM – Lectures in Mathematics. ETH Zürich Journal of the American Statistical Association 2003. XI, 112 p. Softcover EUR 24.90 / CHF 42.90 / ISBN 978-3-7643-6946-0 2000. XXXV, 742 p. 13 illus. Hardcover EUR 78.– / CHF 128.– / ISBN 978-0-8176-4012-5 85 Probability and Statistics

Empirical Process Techniques for measures, but everybody interested in Dependent Data Markov operators who may find the author's approach inspiring in many respects." Dehling, H. / Mikosch, T. / Sörensen, M. Applications of Mathematics (Eds) 2005. XII, 108 p. Softcover 2002. 400 p. 2 illus. Hardcover EUR 29.90 / CHF 49.90 / ISBN 978-3-7643-7134-0 EUR 79.90 / CHF 135.– / ISBN 978-0-8176-4201-3 Lagrangian Probability Foundations of Statistical
 Distributions Analyses and Applications Consul, P. C. / Famoye, F. with SAS Falk, M. / Marohn, F. / Tewes, B. "The book is the first comprehensive 2002. X, 402 p. Softcover presentation of the theory of distributions EUR 54.– / CHF 84.– / ISBN 978-3-7643-6893-7 which are derived and/or closely connected with Lagrange expansions. It gives an In and Out of Equilibrium overview of the research on this topic Probability with a Physics Flavor published during the last thirty-five years. The text is illustrated with many surprising Sidoravicius, V. (Ed.) examples. The book can be recommended for both applied and theoretical statistics." PP – Progress in Probability, Vol. 51 Mathematical Reviews 2002. VI, 472 p. 35 illus. Hardcover EUR 109.– / CHF 179.– / ISBN 978-0-8176-4289-1 2006. XX, 352 p. 9 tables Hardcover EUR 68.– / CHF 105.– / ISBN 978-0-8176-4365-2 Invariant Probabilities of Laws of Small Numbers: Markov-Feller Operators and
 Extremes and Rare Events Their Supports Falk, M. / Hüsler, J. / Reiss, R.–D. Zaharopol, R. 2nd ed.

FM – Frontiers in Mathematics 2004. XIII, 376 p. Softcover EUR 39.90 / CHF 65.– / ISBN 978-3-7643-2416-2 "This short monograph is a very useful reference for researchers wishing to enter Lévy Processes the area of stationary Markov processes both Theory and Applications from a probabilistic and a dynamical point of Barndorff-Nielsen, O. E. / Mikosch, T. / view and opens the way to an interesting and Resnick, S. I. (Eds) active research area." Monatshefte für Mathematik "This volume presents a useful summary of some of the recent scientific developments "All proofs are detailed, many illuminating concerning Lévy processes. Both introductory examples are included, and familiarity with and more advanced articles are included. only basics of measure theory, general The interested researcher will get a good topology of metric spaces and functional overview of 'where the action is' whereas analysis is sufficient to follow the exposition. students will find numerous interesting Therefore, potential readers of this research topics to work on . . . I am convinced monograph are not only those looking for that the text will contribute further to making information about supports of invariant stochastic models based on general Lévy processes even more popular. I, therefore, 86 take pleasure in recommending this volume a one-semester course for undergraduates, to all interested readers." ISI Short Book but it can also serve as a basis for a high- Reviews school course. The level of the book is very

2001. X, 415 p. 32 illus. Hardcover elementary and in most of the chapters of EUR 79.90 / CHF 135.– / ISBN 978-0-8176-4167-2 the book only basic calculus is required. As promised by the author “theory is kept to Markov Chains and Invariant a minimum” and it is successfully tried to Probabilities “minimize the difficulties students often have with calculus." Zentralblatt MATH Hernández-Lerma, O. / Lasserre, J. B. 2001. XIII, 218 p., 25 illus. Softcover PM – Progress in Mathematics, Vol. 211 EUR 64.– / CHF 85.– / ISBN 978-0-8176-4247-1

"It should be stressed that an important part Resampling Methods
 of the results presented is due to the authors. A Practical Guide to . . . In the reviewer's opinion, this is an elegant Data Analysis and most welcome addition to the rich Good, P. I. literature of Markov processes." MathSciNet 3rd ed. 2003. XVI, 210 p. Hardcover EUR 64.90 / CHF 109.– / ISBN 978-3-7643-7000-8 "I enjoyed this book. The style of writing suggests that statistics is fun and Point Process Theory and exploratory (which it often is). The reader is
 Applications helped and encouraged to understand the problem (how the data were obtained) and Marked Point and Piecewise how they might analyze it using resampling Deterministic Processes methods." The American Statistician Jacobsen, M. "...the author has packaged an excellent PA – Probability and its Applications and modern set of topics around the development and use of quantitative "The most remarkable aspect of the book is models.... If you need to learn about the reader-friendly structure and the style resampling, this book would be a good place in which it has been written. The importance to start." Technometrics of the book both from the practical and from the theoretical standpoint is unquestionable. 2006. XX, 218 p. 40 illus. Hardcover EUR 58.– / CHF 90.– / ISBN 978-0-8176-4386-7 This book will be an essential part of every mathematical library." Zentralblatt MATH Stochastic Calculus 2006. X, 328 p. Hardcover EUR 48.– / CHF 78.– / ISBN 978-0-8176-4215-0 Applications in Science and Engineering Probability with Statistical Grigoriu, M. Applications "This is an impressive compendium, which, Schinazi, R. B. on its first 280 pages, provides a quite thorough review of probability theory, "This book is well-written and the stochastic processes, Itô’s formula and presentation is clear and concise. The stochastic differential equations.... Although textbook is an introduction to probability the focus is on the mathematical theory, theory and statistics. The text is intended for many examples from sciences or engineering illustrate the concepts and methods. Each 87 Probability and Statistics

chapter ends with a number of problems. Theory and Applications of Recent This book will be of substantial interest to the Robust Methods applied scientists seeking methods to solve Hubert, M. / Pison, G. / Struyf, A. / stochastic problems." Van Aelst, S. (Eds) Monatshefte für Mathematik

2003. XII, 774 p. 177 illus. Hardcover SIT – Statistics for Industry and Technology EUR 108.– / CHF 188.– / ISBN 978-0-8176-4242-6 2004. X, 400 p. Hardcover Stochastic Processes in Quantum EUR 109.– / CHF 179.– / ISBN 978-3-7643-7060-2 Physics Nagasawa, M.

MMA – Monographs in Mathematics, Vol. 94

SßJV+DUGFRYHU EUR 158.– / CHF 238.– / ISBN 978-3-7643-6208-9

The Laplace Distribution
 and Generalizations A Revisit with Applications to Communications, Economics, Engineering, and Finance Kotz, S. / Kozubowski, T. / Podgorski, K.

"This book will be useful for those who are interested in tractable models which allow one to go beyond the normal distribution." ISI Short Book Reviews

2001. XVIII, 349 p., 37 illus. Hardcover EUR 74.90 / CHF 125.– / ISBN 978-0-8176-4166-5

Theory and Applications of
 Long-Range Dependence Doukhan, P. / Oppenheim, G. / Taqqu, M. S. (Eds)

"This book is a valuable and unique collection of material on LRD. It gathers together a large amount of material; the papers and their extensive references here give a broad and current summary of the research on the topic of long-range dependence." Journal of Statistical Physics

2003. 736 p. 72 illus. Hardcover EUR 79.90 / CHF 135.– / ISBN 978-0-8176-4168-9

88 Mathematical Physics / Physics

Gravitation and Experiment Quantum Decoherence Poincaré Seminar 2006 Poincaré Seminar 2005 Damour, T., IHES, Bures-sur-Yvette, France / Duplantier, B., CEA Saclay, Gif-sur-Yvette, Duplantier, B., CEA Saclay, Gif-sur-Yvette, France / Raimond, J.-M., ENS Paris, France / France / Rivasseau, V., Université de Paris- Rivasseau, V., Université Paris XI, France Sud, Orsay, France (Eds) (Eds)

PMP – Progress in Mathematical Physics, PMP – Progress in Mathematical Physics, Vol. 52 Vol. 48

This book starts with a detailed introduction The Poincaré Seminar is held twice a year to general relativity by world expert at the Institute Henri Poincaré in Paris. The T. Damour. It includes a review of what may goal of this seminar is to provide up-to-date lie beyond by string theorist I. Antoniadis, information about general topics of great and collects up-to-date essays on the interest in physics. Both the theoretical experimental tests of this theory. and experimental results are covered, with some historical background. Particular care Contrary to some beliefs, general relativity is devoted to the pedagogical nature of the is now a theory extremely well confirmed by presentation. detailed experiments, including the precise timing of the double pulsar J0737-3039 This volume is devoted to Quantum explained by M. Kramer, member of the team Decoherence. A broad perspective on the which discovered it in 2003, and satellite subject is provided by the contributions of missions such as Gravity Probe B described W. H. Zurek, H. D. Zeh and E. Joos, together by leading team member J. Mester. The with clean up-to-date presentations of the search for detecting gravitational waves is actual experiments on decoherence both in also very much under way as reviewed by the mesoscopic systems of atomic physics, J.-Y. Vinet. by J.M. Raimond and S. Haroche, and in the "quantronic" or condensed matter context, 2007. Approx. 216 p. Hardcover EUR 79.90 / CHF 135.– / ISBN 978-3-7643-8523-1 by D. Esteve et al. Further, the question of quantum codes and error corrections is discussed in the contribution of J. Kempe.

2007. VIII, 192 p. Hardcover EUR 68.– / CHF 109.– / ISBN 978-3-7643-7807-3

89 Mathematical Physics / Physics

Quantum Gravity Quantum Spaces Mathematical Models and Poincaré Seminar 2007 Experimental Bounds Duplantier, B., CEA Saclay, Gif-sur-Yvette, Fauser, B. / Tolksdorf, J. / Zeidler, E., all MPI France / Rivasseau, V., Université de Paris for Mathematics in the Sciences, Leipzig, Sud, Orsay, France (Eds) Germany (Eds) PMP – Progress in Mathematical Physics, Vol. 53 The construction of a quantum theory of gravity is the most fundamental challenge This book starts with an introduction by confronting contemporary theoretical V. Pasquier on the usefulness of non- physics. The different physical ideas evolved commutative geometry, especially in the in developing a theory of quantum gravity condensed matter context of the Hall require highly advanced mathematical effect. This theme is further developped by methods. This book provides the reader with A. Polychronakos, which together with L. an overview of the different mathematical Susskind introduced the concept of non- attempts to quantize gravity written by commutative fluids. leading experts in this field. Also discussed are the possible experimental bounds Jean-Michel Maillet compares the on quantum gravity effects. All of the experimental results on one dimensional contributions have been strictly refereed. magnetic chains to the theoretical predictions based on the algebraic Bethe The present volume emerged from the 2nd Ansatz and related to quantum group Blaubeuren Workshop "Mathematical and symmetries that he actively developped with Physical Aspects of Quantum Gravity''. In many collaborators. general, these Workshops are intended to bring together experts in mathematics and On the high energy side of non-commutative physics to discuss in an open atmosphere geometry the book includes two the fundamental questions at the frontier of complementary reviews. A. Connes describes theoretical physics. the striking progress recently made in gathering all the interactions and fields of 2007. XVI, 336 p. Hardcover EUR 89.90 / CHF 149.– / ISBN 978-3-7643-7977-3 the standard model into a non-commutative geometry on a simple internal space, while V. Rivasseau describes in a large review the very recent technique of renormalization of quantum field theories on non-commutative space-time, which lead to the surprising discovery of their improved short-distance behavior.

2007. Approx. 216 p. Hardcover EUR 79.90 / CHF 135.– / ISBN 978-3-7643-8521-7 90 Computer Algebra Recipes
 for Mathematical Physics Enns, R. H.

"This textbook shows in an easy-to-read way how a computer algebra system, in this case Maple, can be used to solve problems from physics. It is suitable for undergraduate students and requires no previous knowledge Rigorous Quantum Field Theory of Maple.… It is a nice complement to a A Festschrift for Jacques Bros traditional mathematical methods in physics Boutet de Monvel, A., Université Paris VII, course, with plenty of problems for the France / Buchholz, D., Universität Göttingen, teacher to choose from." Germany / Iagolnitzer, D., CEA/Saclay, Monatshefte für Mathematik

Gif-sur-Yvette, France / Moschella, U., 2005. XIV, 390 p. 106 illus. 2 tabs. With CD-ROM. Softcover Università dell’Insubria, Como, Italy (Eds) EUR 68.– / CHF 108.– / ISBN 978-0-8176-3223-6

PM – Progress in Mathematics, Vol. 251 Continuum Mechanics using Mathematica®
 Jacques Bros has greatly advanced our present understanding of rigorous Fundamentals, Applications and quantum field theory through numerous Scientific Computing fundamental contributions. The impact of Romano, A. / Lancellotta, R. / Marasco, A. his work is also visible in several articles in this book. Quantum fields are considered MSSET – Modeling and Simulation in as genuine mathematical objects, whose Science, Engineering and Technology various properties and relevant physical interpretations have to be studied in a well- "The book will be an invaluable reference for defined mathematical framework. all those with active interest in the areas of continuum mechanics and its fundamental Key topics: Analytic structures of QFT, applications: balance laws, constitutive renormalization group methods, gauge QFT, axioms, linear elasticity, fluid dynamics, stability properties and extension of the waves, etc. It may serve as a supplement axiomatic framework, QFT on models of to any of the standard textbooks for curved spacetimes, QFT on noncommutative undergraduate students, graduate students, Minkowski spacetime. and researchers in applied mathematics, 2007. VI, 326 p. Hardcover mathematical physics, and engineering." EUR 68.– / CHF 118.– / ISBN 978-3-7643-7433-4 Zentralblatt MATH

2006. XII, 388 p. 66 illus. With CD-ROM. Hardcover EUR 68.– / CHF 98.– / ISBN 978-0-8176-3240-3

91 Mathematical Physics / Physics

Analytic Methods in the Theory Nonlinear Physics with
 of Differential and MAPLE for Scientists and Pseudo-Differential Equations Engineers of Parabolic Type Enns, R. H. / McGuire, G. C. Eidelman, S. D. / Ivasyshen, S. D. / 2nd ed. Kochubei, A. N. "The care that the authors have taken to OT – Operator Theory: Advances and ensure that their text is as comprehensive, Applications, Vol. 152 versatile, interactive, and student-friendly as possible place this book far above the 2004. IX, 386 p. Hardcover EUR 139.– / CHF 229.– / ISBN 978-3-7643-7115-9 average." Scientific Computing World 2000. XV, 661 p. 282 illus. Hardcover Einstein, 1905-2005 EUR 74.90 / CHF 125.– / ISBN 978-0-8176-4119-1 Poincaré Seminar 2005 Nonlinear Physics with Damour, T. / Darrigol, O. / Duplantier, B. /
 Rivasseau, V. (Eds) Mathematica for Scientists and Engineers PMP – Progress in Mathematical Physics, Enns, R. H. / McGuire, G. C. Vol. 47 "The authors do an extraordinary job of 2006. VIII, 293 p. 48 illus. Hardcover EUR 78.– / CHF 128.– / ISBN 978-3-7643-7435-8 integrating application and theory. They provide applications from a variety of Electrodynamics disciplines throughout the sections that
 introduce the theory and that look at A Modern Geometric Approach methods of analysis and consider the Baylis, W. E. various approaches to addressing nonlinear problems. It is not an exaggeration to say that PMP – Progress in Mathematical Physics, this book considers all areas of interest in Vol. 17 nonlinear analysis with solid introductions. (This reviewer, having taught the basics of "[The book] has a nice blend of mathematical nonlinear physics over the last 15 years, physics, fundamentals of electromagnetic wishes he had had this book as a tutor.) theory and practical applications.... It Added to this are 33 experimental activities is extremely well written and contains using MATHEMATICA® that demonstrate numerous exercises and problems to concepts and applied examples." Choice help the reader gain familiarity with new concepts." Current Science 2001. XV, 691 p. 282 illus. With CD-ROM. Hardcover EUR 74.90 / CHF 125.– / ISBN 978-0-8176-4223-5 1st ed. 1998. Corr. 2nd printing 2001. 400 p. 43 illus. Hardcover EUR 54.90 / CHF 90.– / ISBN 978-0-8176-4025-5 Poincaré Seminar 2003 Bose-Einstein Condensation – Entropy Dalibard, J. / Duplantier, B. / Rivasseau, V. (Eds)

2004. 264 p. Softcover EUR 39.90 / CHF 65.– / ISBN 978-3-7643-7116-6 92 The Kepler Problem Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations Cordani, B.

PMP – Progress in Mathematical Physics, Vol. 29

"This is an interesting book, which well organizes the group-geometric aspects of the Kepler problem on which a great number of articles have been published along with the advance of symmetry theory. . . . a nice reference not only for graduate students but also for scientists who are interested in dynamical systems with symmetry." MathSciNet

2003. 456 p. Hardcover EUR 89.90 / CHF 149.– / ISBN 978-3-7643-6902-6

The Quantum Hall Effect Poincaré Seminar 2004 Douçot, B. / Duplantier, B. / Pasquier, V. / Rivasseau, V. (Eds)

PMP – Progress in Mathematical Physics, Vol. 45

2005. 197 p. Hardcover EUR 69.90 / CHF 119.– / ISBN 978-3-7643-7300-9

93 Numerical and Computational Mathematics / Applications



with DVD

A Graph-Theoretic Approach to A Software-Defined GPS and Enterprise Network Dynamics Galileo Receiver Bunke, H., University of Bern, Switzerland / A Single-Frequency Approach Dickinson, P.J. / Kraetzl, M., both Defense Borre, K., Aalborg University, Aalborg, Science and Technology Organization, Denmark / Akos, D.M., University of Adelaide, SA, Australia / Wallis, W.D., Colorado, Boulder, CO, USA / Bertelsen, N., Southern Illinois University, Carbondale, IL, Klarup, Denmark / Rinder, P., Aalborg, USA Denmark / Jensen, S.H., Aalborg University, Aalborg, Denmark PCS – Progress in Computer Science and Applied Logic, Vol. 24 ANHA – Applied and Numerical Harmonic Analysis Networks have become nearly ubiquitous and increasingly complex, and their support Satellite navigation receivers are used to of modern enterprise environments has receive, process, and decode space-based become fundamental. Accordingly, robust navigation signals, such as those provided network management techniques are by the GPS constellation of satellites. There essential to ensure optimal performance is an increasing need for a unified open of these networks. This monograph treats platform that will enable enhanced receiver the application of numerous graph- development and design, as well as cost- theoretic algorithms to a comprehensive effective testing procedures for various analysis of dynamic enterprise networks. applications. This book and companion Network dynamics analysis yields valuable DVD provide hands-on exploration of new information about network performance, technologies in this rapidly growing field. efficiency, fault prediction, cost optimization, One of the unique features of the work indicators and warnings. is the interactive approach used, giving Based on many years of applied research of readers the ability to construct their own generic network dynamics, this work covers Global Navigation Satellite Systems (GNSS) a number of elegant applications (including receivers. many new and experimental results) of The presentation unfolds in a systematic, traditional graph theory algorithms and user-friendly style and goes from the basics techniques to computationally tractable to cutting-edge research. network dynamics analysis to motivate network analysts, practitioners and 2007. XXI, 176 p. 98 illus. With DVD. Softcover EUR 68.– / CHF 108.– / ISBN 978-0-8176-4390-4 researchers alike.

2007. XIII, 225 p. 110 illus. Hardcover EUR 58.– / CHF 98.– / ISBN 978-0-8176-4485-7

94 Advances in Discrete Tomography Advances in Dynamic Game and Its Applications Theory Herman, G.T., The City University of New Numerical Methods, Algorithms, and York, New York, NY, USA / Kuba, A., University Applications to Ecology and Economics of Szeged, Szeged, Hungary (Eds) Jørgensen, S., University of Southern Denmark, Odense, Denmark / Quincampoix, M., ANHA – Applied and Numerical Harmonic Université de Bretagne Occidentale, Brest, Analysis France / Vincent, T.L., University of Arizona, Tucson, AZ, USA (Eds) This book is a unified presentation of new methods, algorithms, and select AISDG – Annals of the International Society applications that are the foundations of of Dynamic Games, Vol. 9 multidimensional image reconstruction by discrete tomographic methods. The self- Written by experts in their respective contained chapters, written by leading disciplines, the chapters in this book are mathematicians, engineers, and computer an outgrowth of presentations from the scientists, present cutting-edge research 11th International Symposium on Dynamic and results in the field. Games and Applications. Three main areas are covered: foundations, Key topics covered include stochastic and algorithms, and practical applications. differential games; dynamic games and Following an introduction that reports their applications in various areas, such as the recent literature of the field, the ecology and economics; numerical methods book explores various mathematical and algorithms in dynamic games; zero- and computational problems of discrete and nonzero-sum games; pursuit-evasion tomography including new applications. games; and evolutionary game theory and Topics and features include introduction applications. to discrete point X-rays, uniqueness The work will serve as a state-of-the art and additivity in discrete tomography, account of recent advances in dynamic network flow algorithms for discrete game theory and its applications for tomography, convex programming and researchers, practitioners, and advanced variational methods, and applications to students in applied mathematics, electron microscopy, materials science, mathematical finance, and engineering. nondestructive testing, and diagnostic medicine. 2007. XXII, 717 p. 190 illus. Hardcover EUR 159.– / CHF 258.– / ISBN 978-0-8176-4399-7 2007. XX, 392 p. 140 illus. Hardcover EUR 79.90 / CHF 135.– / ISBN 978-0-8176-3614-2

95 Numerical and Computational Mathematics / Applications

Advances in Dynamic Games Advances in Mathematical Applications to Economics, Finance Management Science, Engineering, and Fu, M.C., University of Maryland, College Environmental Management Park, MD, USA / Jarrow, R.A., Cornell Haurie, A., ORDECSYS, Chêne-Bougeries, University, Ithaca, NY, USA / Yen, J.-Y.J., Switzerland / Muto, S., Institute of Vanderbilt University, Nashville, TN, USA / Technology of Tokyo, Japan / Petrosjan, L.A., Elliott, R.J., University of Calgary, AB, State University of St. Petersburg, Russia / Canada (Eds) Raghavan, T.E.S., University of Illinois at Chicago, IL, USA (Eds) ANHA – Applied and Numerical Harmonic Analysis AISDG – Annals of the International Society of Dynamic Games, Vol. 8 This self-contained volume brings together a collection of chapters by some of the most The paradigms of dynamic games play an distinguished researchers and practitioners important role in the development of multi- in the field of mathematical finance and agent models in engineering, economics, financial engineering. Presenting state-of- and management science. The applicability the-art developments in theory and practice, of their concepts stems from the ability the work is a valuable resource for graduate to encompass situations with uncertainty, students, researchers, and practitioners incomplete information, fluctuating coalition in mathematical finance and financial structure, and coupled constraints imposed engineering. on the strategies of all the players. This book Contributors: H. Albrecher, D.C. Brody, P. Carr, presents current developments of the theory E. Eberlein, R.J. Elliott, M.C. Fu, H. Geman, of dynamic games and its applications M. Heidari, A. Hirsa, L.P. Hughston, R.A. to various domains, in particular energy- Jarrow, X. Jin, W. Kluge, S.A. Ladoucette, A. environment economics and management Macrina, D.B. Madan, F. Milne, M. Musiela, sciences. P. Protter, W. Schoutens, E. Seneta, K. The volume uses dynamic game models Shimbo, R. Sircar, J. van der Hoek, M. Yor, T. of various sorts to approach and solve Zariphopoulou

several problems pertaining to pursuit- 2007. Approx. 368 pp. 41 illus. Hardcover evasion, marketing, finance, climate EUR 64.90 / CHF 79.95 / ISBN 978-0-8176-4544-1 and environmental economics, resource exploitation, as well as auditing and tax evasions. In addition, it includes some chapters on cooperative games, which are increasingly drawing dynamic approaches to their classical solutions.

2006. XIX, 420 p. 60 illus. Hardcover 96 EUR 82.– / CHF 128.– / ISBN 978-0-8176-4500-7


Atmospheric and Space Flight Cluster Analysis for Data Mining Dynamics and System Identification Modeling and Simulation with Abonyi, J. / Feil, B., both Pannon University, MATLAB® and Simulink® Hungary Tewari, A., Indian Institute of Technology, Kanpur, India This book presents new approaches to data mining and system identification. Algorithms MSSET – Modeling and Simulation in that can be used for the clustering of data Science, Engineering and Technology have been overviewed. New techniques and tools are presented for the clustering, Modern aerospace vehicles, such as the classification, regression and visualization space shuttle, other launch vehicles, of complex datasets. Special attention is and long-range ballistic missiles, do not given to the analysis of historical process discriminate between atmospheric and data, tailored algorithms are presented space flight. Most texts on flight dynamics, for the data driven modeling of dynamical however, make this artificial distinction systems, determining the model order of and therefore do not simultaneously cover nonlinear input-output black box models, aircraft and spacecraft. Bridging this gap and the segmentation of multivariate time- in the literature, Atmospheric and Space series. Flight Dynamics is a unified presentation, The main methods and techniques are demonstrating that the two disciplines illustrated through several simulated and have actually evolved from the same set of real-world applications from data mining physical principles. and process engineering practice. Key features include an introduction to The books is aimed primarily at a broad range of modern topics in an practitioners, researches, and professionals accessible, yet mathematically rigorous in statistics, data mining, business presentation; many numerical examples intelligence, and systems engineering, and simulations utilizing MATLAB® but it is also accessible to graduate and Simulink®; software used as an and undergraduate students in applied instructional, hands-on tool, moving away mathematics, computer science, electrical from the "cookbook" approach found in and process engineering. Familiarity with other works; and numerous illustrations and the basics of system identification and fuzzy end-of-chapter exercises. systems is helpful but not required.

2007. XX, 576 p. 207 illus. Hardcover 2007. Approx. 324 p. Hardcover EUR 78.– / CHF 128.– / ISBN 978-0-8176-4437-6 Approx. EUR 99.– / CHF 158.– / ISBN 978-3-7643-7987-2 2007. 576 p. 207 illus. Softcover EUR 52.– / CHF 78.– / ISBN 978-0-8176-4373-7 97 Numerical and Computational Mathematics / Applications

Filtering Theory Free Boundary Problems With Applications to Fault Detection, Theory and Applications Isolation, and Estimation Figueiredo, I.N., University Coimbra, Saberi, A., Washington State University, Portugal / Rodrigues, J.F., University of Pullman, WA, USA / Stoorvogel, A.A., Lissabon, Portugal / Santos, L., University of Eindhoven University of Technology, Minho, Braga, Portugal (Eds) Eindhoven, The Netherlands / Sannuti, P., Rutgers University, Piscataway, NJ, USA ISNM – International Series of Numerical Mathematics, Vol. 154 SC – Systems & Control: Foundations & Applications This book gathers a collection of refereed articles containing original results reporting The focus of this book is on filtering for the recent contributions of the lectures linear processes, and its primary goal is to and communications presented at the Free design filters from a class of linear stable Boundary Problems Conference that took unbiased filters that yield an estimation place at the University of Coimbra, Portugal, error with the lowest root-mean-square from June 7 to 12, 2005 (FBP2005). They (RMS) norm. Various hierarchical classes deal with the mathematics of a broad class of filtering problems are defined based on of models and problems involving nonlinear the availability of statistical knowledge partial differential equations arising in regarding noise, disturbances, and other physics, engineering, biology and finance. uncertainties. Among the main topics, the talks considered free boundary problems in biomedicine, in Key features include an in-depth structural porous media, in thermodynamic modeling, study of powerful tools such as Riccati in fluid mechanics, in image processing, in equations, linear matrix inequalities, and financial mathematics or in computations quadratic matrix inequalities; a general for inter-scale problems. and structural theory of H2 and H-infinity optimal filtering; several hierarchically The mathematical analysis and fine ordered layers of noise decoupled filtering properties of solutions and interfaces in problems under a single umbrella; and free boundary problems have been an active the application of filtering theory to fault subject in the last three decades and their detection, isolation, and estimation. mathematical understanding continues to be an important interdisciplinary 2007. XIV, 723 p. 44 illus. Hardcover EUR 108.– / CHF 178.– / ISBN 978-0-8176-4301-0 tool for the scientific applications, on one hand, and an intrinsic aspect of the current development of several important mathematical disciplines.

2007. X, 460 p. Hardcover EUR 119.– / CHF 199.– / ISBN 978-3-7643-7718-2 98



Fuzzy Modeling and Fuzzy Control Hemodynamical Flows Zhang, H., Northeastern University, Liaoning, Modeling, Analysis and Simulation China / Liu, D., University of Illinois at Galdi, G.P., University of Pittsburgh, PA, USA / Chicago, IL, USA Rannacher, R., Universität Heidelberg, Germany / Robertson, A.M., University of CE – Control Engineering Pittsburgh, PA, USA / Turek, S., Universität Dortmund, Germany Fuzzy logic methodology has been proven effective in dealing with complex nonlinear OWS – Oberwolfach Seminars, Vol. 37 systems containing uncertainties that are otherwise difficult to model. Technology Due in November 2007 based on this methodology has been applied to many real-world problems, especially in This book surveys results on the physical the area of consumer products. and mathematical modeling as well as the This book presents the first unified and numerical simulation of hemodynamical thorough treatment of fuzzy modeling and flows, i.e., of fluid and structural mechanical fuzzy control, providing necessary tools for processes occurring in the human blood the control of complex nonlinear systems. circuit. Careful consideration is given to questions The topics treated are continuum concerning model complexity, model mechanical description, choice of suitable precision, and computing time. liquid and wall models, mathematical In addition to being an excellent reference analysis of coupled models, numerical for electrical, computer, chemical, industrial, methods for flow simulation, parameter civil, manufacturing, mechanical and identification and model calibration, fluid- aeronautical engineers, the book may solid interaction, mathematical analysis also be appropriate for classroom use in a of piping systems, particle transport in graduate course in electrical engineering, channels and pipes, artificial boundary computer engineering, and computer conditions, and many more. science. Applied mathematicians, control Hemodynamics is an area of active current engineers, computer scientists, and research, and this book provides an physicists will benefit from the presentation entry into the field for graduate students as well. and researchers. It has grown out of a 2006. XIII, 416 p. 161 illus. Hardcover series of lectures given by the authors EUR 78.– / CHF 128.– / ISBN 978-0-8176-4491-8 at the Oberwolfach Research Institute in November, 2005.

2007. Approx. 400 p. Softcover EUR 39.90 / CHF 65.– / ISBN 978-3-7643-7805-9 99 Numerical and Computational Mathematics / Applications

Mathematical Modeling of Mathematical Modeling of Biological Systems, Volume I Biological Systems, Volume II Cellular Biophysics, Regulatory Epidemiology, Evolution and Ecology, Networks, Development, Biomedicine, Immunology, Neural Systems and the and Data Analysis Brain, and Innovative Mathematical Deutsch, A. / Brusch, L., both Technical Methods University of Dresden, Germany / Byrne, H., Deutsch, A., Technical University of Dresden, University of Nottingham, UK / de Vries, G., Germany / Bravo de la Parra, R., University University of Alberta, Edmonton, Canada / of Alcala, Madrid, Spain / de Boer, R.J. / Herzel, H., Humboldt-Universität zu Berlin, Diekmann, O., both Utrecht University, Berlin, Germany (Eds) The Netherlands / Jagers, P., Chalmers University of Technology, Göteborg, Sweden / MSSET – Modeling and Simulation in Kisdi, E., University of Helsinki, Finland / Science, Engineering and Technology Kretzschmar, M., University of Bielefeld, Germany / Lansky, P., Academy of Sciences Volume I of this two-volume, of the Czech Republic, Prague, Czech interdisciplinary work is a unified Republic / Metz, H., University of Leiden, The presentation of a broad range of state-of- Netherlands (Eds) the-art topics in the rapidly growing field of mathematical modeling in the biological MSSET – Modeling and Simulation in sciences. Highlighted throughout the work Science, Engineering and Technology are mathematical and computational approaches to solving central problems Due in November 2007 in the life sciences, ranging from the organizational principles of individual cells Volume II of this two-volume, to the dynamics of large populations. interdisciplinary work is a unified presentation of a broad range of state-of- The chapters are thematically organized the-art topics in the rapidly growing field into the following main areas: Cellular of mathematical modeling in the biological Biophysics; Regulatory Networks; sciences. Developmental Biology; Biomedical Applications; Data Analysis and Model The chapters are thematically organized Validation. into the following main areas: Epidemiology, Evolution and Ecology, Immunology, 2007. XVIII, 382 p. 120 illus. Hardcover EUR 89.90 / CHF 149.– / ISBN 978-0-8176-4557-1 Neural Systems and the Brain, Innovative Mathematical Methods and Education.

2008. Approx. 432 p. 122 illus. Hardcover EUR 89.90 / CHF 149.– / ISBN 978-0-8176-4555-7 100 Mathematical Modeling of Modeling of Biological Materials Complex Biological Systems Mollica, F., Universita di Ferrara, Ferrara, A Kinetic Theory Approach Italy / Preziosi, L., Politecnico di Torino, Torino, Italy / Rajagopal, K.R., University of Bellouquid, A., University Cadi Ayad, Ecole Texas A&M, College Station, TX, USA (Eds) Nationale des Sciences Appliquées, Safi, Morocco / Delitala, M., Politecnico di Torino, MSSET – Modeling and Simulation in Italy Science, Engineering and Technology MSSET – Modeling and Simulation in This interdisciplinary collection of surveys Science, Engineering and Technology highlights the central role played by the mathematical modeling of mechanical This book describes the evolution of properties having an effect on the biology, several socio-biological systems using chemistry, and physics of living matter. One mathematical kinetic theory. Specifically, of the main goals of the book is to present – it deals with modeling and simulations of in a single, self-contained resource – topics biological systems – comprised of large that are widely scattered across the populations of interacting cells – whose literature in a variety of journals having dynamics follow the rules of mechanics as mutually nonintersecting communities of well as rules governed by their own ability to readers, such as applied mathematicians, organize movement and biological functions. engineers, biologists, and physicians. The authors propose a new biological model Readers from diverse backgrounds are for the analysis of competition between provided with basic modeling ideas and cells of an aggressive host and cells of a tools to address important problems in the corresponding immune system. medical and health sciences. Presented The book follows a classical research are appropriate models as well as their approach applied to modeling real systems, implementation through numerical and linking the observation of biological computer simulations, which may lead to phenomena, collection of experimental data, potential technological innovations useful in modeling, and computational simulations medicine. to validate the proposed models. Qualitative 2007. XV, 357 p. 71 illus. Hardcover analysis techniques are used to identify the EUR 69.90 / CHF 119.– / ISBN 978-0-8176-4410-9 prediction ability of specific models. It may be used for advanced graduate courses and seminars in biological systems modeling with applications to collective social behavior, immunology, and epidemiology.

2006. X, 188 p. 47 illus. Hardcover EUR 64.90 / CHF 109.– / ISBN 978-0-8176-4395-9 101 Numerical and Computational Mathematics / Applications

Molecular Gas Dynamics Nexus Network Journal 9,1 Theory, Techniques, and Applications Architecture and Mathematics Sone, Y., Kyoto University, Kyoto, Japan Williams, K., Torino, Italy (Ed.)

MSSET – Modeling and Simulation in NNJ – Nexus Network Journal, Vol. 9,1 Science, Engineering and Technology This self-contained book is an up-to-date This issue is dedicated to various kinds of description of the basic theory of molecular patterns in architecture. Buthayna Eilouti gas dynamics and its various applications. and Amer Al-Jokhadar address patterns The progress in the field over the last thirty in shape grammars in the ground plans of years has greatly enhanced the original Mamluk madrasas, religious schools. Giulio theory and has stimulated interesting Magli goes back further in history, to the and critical gas dynamic phenomena age of Greek colonies in Italy before they and problems. Molecular Gas Dynamics, were conquered by the Romans, to examine unique in the literature, presents working patterns in urban design. In Traditional knowledge, theory, techniques, and typical Patterns in Pyrgi of Chios: Mathematics phenomena in rarefied gases for theoretical and Community Charoula Stathopoulou development and application. examines the geometric patterns that decorate the buildings of the town of Basic theory is developed in a systematic Pyrgi, on the Greek island of Chios. Curve way and presented in a form easily applied Fitting is a study of ways to construct a for practical use. After presenting various function so that its graph most closely simple flows, such as unidirectional or approximates the pattern given by a set of quasi-unidirectional flows, and flows points. Dirk Huylebrouck’s paper examines around a sphere, the author discusses how a pattern of points extracted from additional topics, including: flows induced an arch might be associated to a precise by temperature fields, which are typical in mathematical curve. James Harris looks rarefied gases, flows with evaporation and at the designs of Frank Lloyd Wright and condensation, bifurcation of flows in rarefied Piet Mondrian to extract the rules of their gases, the ghost effect in gases in the pattern generation and propose possible continuum limit. applications. 2007. XII, 658 p. 179 illus. Hardcover EUR 98.– / CHF 158.– / ISBN 978-0-8176-4345-4 2007. 158 p. Softcover EUR 49.90 / CHF 85.– / ISBN 978-3-7643-8443-2

102


Nexus Network Journal 9,2 Planar Ising Correlations Architecture and Mathematics Palmer, J., University of Arizona, Tucson, AZ, Williams, K., Torino, Italy (Ed.) USA

NNJ – Nexus Network Journal, Vol. 9,2 PMP – Progress in Mathematical Physics, Vol. 49 Due in December 2007 Steady progress in recent years has This volume is dedicated to "Mechanics been made in understanding the special in Architecture", that is, the science of mathematical features of certain exactly structural mechanics, including the solvable models in statistical mechanics behaviour of structures, internal forces, and and quantum field theory, including the deformation, as well as the development of scaling limits of the 2-D Ising (lattice) new structural systems to resist thrusts as a model, and more generally, a class of 2-D result of new architectural forms. It is a field quantum fields known as holonomic fields. of enquiry that examines a particular aspect New results have made it possible to obtain of the relationships between architecture a detailed nonperturbative analysis of the and the mathematical sciences. many spin correlations. In particular, the book focuses on deformation analysis of Some of the papers in this issue were the scaling functions of the Ising model, presented at the Nexus 2006 conference and will appeal to graduate students, during a special session dedicated to mathematicians, and physicists interested mechanics. Other research papers focus in the mathematics of statistical mechanics on an eighteenth-century Belgian pyramid, and quantum field theory. aspects of "fractal" architecture, and properties of a family of irrational values. 2007. Approx. XII, 372 p. 30 illus. Hardcover EUR 79.90 / CHF 135.– / ISBN 978-0-8176-4248-8 The issue also includes a description and evaluation of a university-level course in architecture and mathematics, Rachel Fletcher's Geometer's Angle column, and book reviews.

2007. Approx. 150 p. Softcover Approx. EUR 38.– / CHF 62.– / ISBN 978-3-7643-8444-9

103 Numerical and Computational Mathematics / Applications

Quantum Information and Many Body Quantum Systems

Quantum Information and Many Supervisory Control of Concurrent Body Quantum Systems Systems Ericsson, M., University of Cambridge, U.K. A Petri Net Structural Approach (Ed.) Iordache, M.V., LeTourneau University, Longview, TX, USA / Antsaklis, P.J., University Publications of the Scuola Normale of Notre Dame, IN, USA Superiore / CRM Series, Vol. 5 SC – Systems & Control: Foundations & Due in January 2008 Applications

In the last years a growing attention has Increasing complexity in engineering been dedicated to many body quantum projects raises difficult challenges in systems from the point of view of quantum industry and requires effective tools for information. Indeed, after the initial correct-by-construction design or design investigation of simple systems as single verification. This book addresses the design or two qubits, the needs of understanding of such tools for correct-by-construction the characteristics of a realistic quantum synthesis of supervisors for systems and information device leads necessary to the specifications represented in the discrete- study of many body quantum systems. event framework. The approach employed These studies are also driven by the very uses Petri nets as discrete-event models fast development of experiments which in and structural methods for the synthesis the last years reach the goal of coherent of supervisors, and may lead to significant control of a few qubits (ion traps, charge computational benefits. Highlighting recent qubits, etc...) with a roadmap for further progress in the design of supervisors by scaling and improvement of coherent structural methods, the book represents a control and manipulation techniques. novel contribution to the field. One of the This book gives a selection of current main features of the presentation is the research topics in the field of quantum demonstration that structural methods information for many body quantum can address a variety of supervisor systems together with open problems. specifications under diverse supervision settings. 2008. Approx. 400 p. Softcover EUR 25.– / CHF 42.– / ISBN 978-88-7642-307-9 The work is self-contained and includes necessary background on Petri nets and supervision. Requiring only basic knowledge of undergraduate-level discrete mathematics, the text is accessible to a broad audience.

2006. XIV, 281 p. 100 illus. Hardcover 104 EUR 68.– / CHF 108.– / ISBN 978-0-8176-4357-7 Symbolic-Numeric Computation Transport Equations in Biology Wang, D., Beihang University, Beijing, China Perthame, B., Ecole Normale Supérieure, and Université Pierre et Marie Curie, Paris / Paris, France Zhi, L., Chinese Academy of Sciences, Beijing (Eds) FM – Frontiers in Mathematics

TM – Trends in Mathematics This book presents models written as partial differential equations and The growing demand of speed, accuracy, originating from various questions in and reliability in scientific and engineering population biology, such as physiologically computing has been accelerating structured equations, adaptive dynamics, the merging of symbolic and numeric and bacterial movement. Its purpose is to computations, two types of computation derive appropriate mathematical tools and coexisting in mathematics yet separated qualitative properties of the solutions (long in traditional research of mathematical time behavior, concentration phenomena, computation. asymptotic behavior, regularizing effects, blow-up or dispersion). Original This book presents 23 research articles on mathematical methods described are, the integration and interaction of symbolic among others, the generalized relative and numeric computation. entropy method - a unique method to tackle 9,,,SßJVWDEV+DUGFRYHU most of the problems in population biology, EUR 79.90 / CHF 135.– / ISBN 978-3-7643-7983-4 the description of Dirac concentration effects using a new type of Hamilton-Jacobi equations, and a general point of view on chemotaxis including various scales of description leading to kinetic, parabolic or hyperbolic equations.

2007. VIII, 198 p. 28 illus. Softcover EUR 38.– / CHF 62.– / ISBN 978-3-7643-7841-7

105 Numerical and Computational Mathematics / Applications

3-D Spinors, Spin-Weighted
 Functions and their Applications Torres del Castillo, G. F.

PMP – Progress in Mathematical Physics, Vol. 32

"In summary…the book gathers much of Transport Phenomena and Kinetic what can be done with 3-D spinors in an Theory easy-to-read, self-contained form designed Applications to Gases, Semiconductors, for applications that will supplement Photons, and Biological Systems many available spinor treatments. The book…should be appealing to graduate Cercignani, C., Politecnico di Milano, Milano, students and researchers in relativity and Italy / Gabetta, E., Università degli Studi di mathematical physics." Pavia, Pavia, Italy (Eds) Mathematical Reviews

MSSET – Modeling and Simulation in 2003. VIII, 246 p. Hardcover Science, Engineering and Technology EUR 79.90 / CHF 135.– / ISBN 978-0-8176-3249-6

The study of kinetic equations related to A Crash Course in
 gases, semiconductors, photons, traffic Mathematica flow, and other systems has developed Kaufmann, S. rapidly in recent years because of its role as a mathematical tool in many applications "Written with the beginner in mind...[the in areas such as engineering, meteorology, book] is easier to handle than the standard biology, chemistry, materials science, manual... Exercises are set throughout the nanotechnology, and pharmacy. Written by text...to provide a graduated introduction... leading specialists in their respective fields, This crash course will appeal to teachers this book presents an overview of recent and to enthusiastic computer literate developments in the field of mathematical students wanting to be ‘fast-tracked’ into kinetic theory with a focus on modeling MATHEMATICA®. It is clearly written, and complex systems, emphasizing both should work well as a tutorial text." mathematical properties and their physical The Australian Mathematics Teacher meaning. 1999. 200 S. Softcover The overall presentation covers not only EUR 29.– / CHF 46.– / ISBN 978-3-7643-6127-3 modeling aspects and qualitative analysis of mathematical problems, but also A Friendly Guide to Wavelets
 inverse problems, which lead to a detailed Kaiser, G. assessment of models in connection with their applications, and to computational "The book is indeed what its title promises: problems, which lead to an effective link A friendly guide to wavelets...In short, of models to the analysis of real-world Kaiser's book is excellently written and can systems. be considered as one of the best textbooks 2007. XIII, 271 p. 26 illus. Hardcover on this topic presently available...it will enjoy EUR 68.– / CHF 108.– / ISBN 978-0-8176-4489-5 wide distribution among mathematicians and physicists interested in wavelet analysis." Int. 106 Math. Nachrichten "I found this to be an excellent book. It is An Introduction to Modern
 eminently more readable than the books... Variational Techniques in which might be considered the principal alternatives for textbooks on wavelets." Mechanics and Engineering Physics Today Vujanovic, B. Z. / Atanackovic, T. M.

"This volume is probably the most gentle "[The book has] many examples and introduction to wavelet theory on the applications throughout the chapters.... It is market. As such, it responds to a significant intended to be only a suggestive exposition need. The intended audience will profit for graduate and senior undergraduate from the motivation and common-sense students in engineering, applied explanations in the text. Ultimately, it may mathematics and physics.... The book should lead many readers, who may not otherwise be useful for students in these quoted areas have been able to do so, to go further into and those people with some knowledge in wavelet theory, Fourier analysis, and signal single-integral variational problems." processing." SIAM Review Mathematical Reviews 2004. X, 346 p. Hardcover 1994. XVII, 300 p. Hardcover EUR 69.90 / CHF 119.– / ISBN 978-0-8176-3399-8 EUR 46.– / CHF 78.– / ISBN 978-0-8176-3711-8

Advances in Dynamic Games An Introduction to Quantum Applications to Economics, Finance, Computing Algorithms Optimization, and Stochastic Control Pittenger, A. O. Nowak, A. S. / Szajowski, K. (Eds) PCS – Progress in Computer Science and Applied Logic, Vol. 19 AISDG – Annals of the International Society of Dynamic Games, Vol. 7 "An Introduction to Quantum Computing 2005. XV, 679 p. 30 illus. Hardcover Algorithms reflects its author's own EUR 149.– / CHF 249.– / ISBN 978-0-8176-4362-1 experience in learning the mathematics and theoretical physics required for the subject, An Introduction to Data as he writes in the acknowledgements. It is
 Structures and Algorithms generally written in a pleasant and informal Storer, J.A. style, with much motivation in between the mathematics.... In just 150 pages this book "The author has done a commendable job in manages to explain much of the core of outlining various algorithms for a problem, quantum computing, and to explain it well." and also in comparing their merits... [The] Quantum Information and Computation approach of the book is easy to understand for students with a strong mathematical "If you have a general (fuzzy) background on background." ACM Computing Reviews quantum physics and on computer science, I recommend reading this book.... It is well 2002. XVII, 599 p. 186 illus. Hardcover EUR 64.90 / CHF 109.– / ISBN 978-0-8176-4253-2 written, easy to read, with many illustrating examples, and many exercises." Zentralblatt MATH

1st ed. 2000. Corr. 2nd printing 2001. XII, 140 p. Hardcover EUR 44.90 / CHF 75.– / ISBN 978-0-8176-4127-6

107 Numerical and Computational Mathematics / Applications

An Introduction to the and then the discrete wavelet transform .
 Mathematics of Biology . . The applications to image compression are wonderful, and the best I have seen in Yeargers, E. K. / Herod, J. V. / books at this level. I also found the analysis Shonkweiler, R. W. of the best choice of basis, and wavelet packet, especially attractive. The later "A very well balanced combination of biology chapters include MATLAB codes. Highly and mathematics. Mathematics students recommended!" Bulletin of the AMS have an opportunity to learn enough biology to make good models, and biology students 2001. XII, 452 p. 66 illus. Hardcover will see it as an opportunity to understand EUR 58.– / CHF 92.– / ISBN 978-0-8176-3962-4 the dynamics of a biological system. It can Applied Laplace Transforms serve as the source of many good models
 with possible applications in different areas and z-Transforms for of biological research." Scientists and Engineers Gen. Physiol. Biophysics A Computational Approach Using a 1996. 432 p. Hardcover Mathematica Package EUR 68.– / CHF 111.50 / ISBN 978-0-8176-3809-2 Graf, U.

An Introduction to the "This book is a very good tool for scientists
 Mechanics of Fluids and engineers that work in the fields of Truesdell, C. / Rajagopal, K.R. applications, especially on practical problems leading to ordinary differential equations MSSET – Modeling and Simulation in which could be solved through Laplace Science, Engineering and Technology transformation." Zentralblatt MATH

2004. X, 500 p. With CD-ROM. Hardcover "The writing style is quintessential EUR 89.90 / CHF 149.– / ISBN 978-3-7643-2427-8 Truesdellania: purely mathematical, breathtaking, irrepressible, irreverent, Automata Theory and its uncompromising, taking no prisoners…
 The book is filled with historical nuggets… Applications Its pure, exact mathematics will baptize, Khoussainov, B. / Nerode, A. enlighten and exhilarate." Applied Mechanics Review PCS – Progress in Computer Science and Applied Logic, Vol. 21 2000. XIV, 277 p. Hardcover EUR 74.90 / CHF 125.– / ISBN 978-0-8176-4014-9 "The aim of this book is to present a theory of several types of automata An Introduction to Wavelet
 and applications of these facts in logic, Analysis concurrency and algebra. ...The book contains Walnut, D. F. suitable material for a two-semester course for students of computer science or ANHA – Applied and Numerical Harmonic mathematics. It is completely self-contained Analysis and one can really enjoy reading it." Bulletin of the EMS "D. Walnut's lovely book aims at the upper 2001. XIV, 430 p. 111 illus. Hardcover undergraduate level, and so it includes EUR 74.90 / CHF 125.– / ISBN 978-0-8176-4207-5 relatively more preliminary material . . . than is typically the case in a graduate text. It 108 goes from Haar systems to multiresolutions, Cellular Automaton Modeling of ordinary and partial differential equations to Biological Pattern Formation the study of market analysis. Solutions are computed symbolically, numerically, or by Characterization, Applications, and means of Monte-Carlo simulations.... A very Analysis useful and valuable book for researchers, Deutsch, A. / Dormann, S. students, professionals, and individual investors." Choice MSSET – Modeling and Simulation in Science, Engineering and Technology 2003. XI, 481 p. 250 illus. With CD-ROM. Hardcover EUR 64.90 / CHF 109.– / ISBN 978-0-8176-4197-9

"The book is a good starting point for scientists and students [who] would like Computational Signal Processing to move into the field of studying effects with Wavelets of spatial pattern formation in biology. The Teolis, A. introductory chapters are fun reading.... The introduction to the lattice-gas method ANHA – Applied and Numerical Harmonic is thorough and sound, and the array of Analysis applications of the method to systems of 1996. 352 p. 128 illus. Hardcover biological pattern formation is impressive EUR 118.– / CHF 158.– / ISBN 978-0-8176-3909-9 and inspiring.... I particularly like the format of suggesting potential further projects Contemporary Cryptology
 at the end of each chapter, which shows Catalano, D. / Cramer, R. / Damgard, I. / that the field is only starting and many Di Crescenzo, G. / Pointcheval, D. / Takagi, T. research questions still have to be explored." Mathematical Biosciences ACM – Advanced Courses in Mathematics –

2005. XXVI, 334 p. 131 illus. Hardcover CRM Barcelona EUR 92.– / CHF 148.– / ISBN 978-0-8176-4281-5 2005. VIII, 237 p. Softcover EUR 34.90 / CHF 59.90 / ISBN 978-3-7643-7294-1 Classical and Quantum
 Computing Differential Galois Theory and with C++ and Java Simulations Non-Integrability of Hamiltonian Hardy, Y. / Steeb, W. H. Systems Morales Ruiz, J. J. 2001. XXIII, 589 p. Softcover EUR 55.– / CHF 88.– / ISBN 978-3-7643-6610-0 PM – Progress in Mathematics, Vol. 179

Computational Financial Award-winning monograph of the Mathematics using Ferran Sunyer i Balaguer Prize 1998. MATHEMATICA® Optimal Trading in Stocks and Options "...[an] account of recent work of the author and co-workers on obstructions Stojanovic, S. to the complete integrability of complex Hamiltonian systems. The methods are of "Stojanovic offers an excellent, user-friendly considerable importance to practitioners... presentation of advanced mathematical The book provides all the needed techniques and Mathematica programming background...and presents concrete for solving problems in finance and trading. examples in considerable detail... The final He demonstrates the value of probability, chapter...includes a fascinating account mathematical statistics, calculus of of work-in-progress by the author and his variations, and optimal control of stochastic, 109 Numerical and Computational Mathematics / Applications

collaborators... Of particular interest...is Dynamical Systems with
 the program of extending the differential Applications using MATLAB® Galois theory to higher-order variational Lynch, S. equations... [an] excellent introduction to non-integrability methods in Hamiltonian "The book is a good introduction to dynamical mechanics [that] brings the reader to systems theory. ...The theory and applications the forefront of research in the area. The are presented with the aid of the MATLAB inclusion of a large number of worked-out package. Throughout the book, MATLAB examples, many of wide applied interest, is is viewed as a tool for solving systems or commendable. There are many historical producing exciting graphics....The MATLAB references, and an extensive bibliography." programs are kept as simple as possible and Mathematical Reviews the author's experience has shown that this 1999. XIV, 167 p. Hardcover method of teaching using MATLAB works well EUR 78.– / CHF 124.– / ISBN 978-3-7643-6078-8 with computer laboratory classes of small sizes. I recommend 'Dynamical Systems with Applications using MATLAB' as a good Domain Decomposition Methods handbook for a diverse readership: graduates in Optimal Control of Partial and professionals in mathematics, physics, Differential Equations science and engineering." Mathematica

Lagnese, J. E. / Leugering, G. 2004. XVIII, 462 p. Softcover EUR 48.– / CHF 78.– / ISBN 978-0-8176-4321-8 ISNM – International Series of Numerical Mathematics, Vol. 148 Elementary Functions 2004. XIII, 443 p. Hardcover EUR 129.– / CHF 219.– / ISBN 978-3-7643-2194-9 Algorithms and Implementation Muller, J.-M. Dynamical Systems with 2nd ed.
 Applications using MAPLE "There a few classic books on algorithms for Lynch, S. computing elementary functions.... These books focused on software implementation "… a very nice tutorial on Maple in which using polynomial approximations. Perhaps quite a few mathematical and graphical Muller's book is destined to become a new commands are illustrated. A student could classic in this subject, but only time will quickly work through this tutorial and then tell.... Muller's book contains few theorems be ready to do quite a bit with Maple… and even fewer proofs. It does contain many Lynch’s book provides great references, as numerical examples, complete with Maple well as Maple code that could be easily code.... In summary, this book seems like an modified by readers who have the tools essential reference for the experts (which I'm to quickly engage in quite sophisticated not). More importantly, this is an interesting numerical experimentation." SIAM Review book for the curious (which I am). In this 2000. XIII, 398 p. 200 illus. Softcover case, you'll probably learn many interesting EUR 78.– / CHF 124.– / ISBN 978-0-8176-4150-4 things from this book. If you teach numerical analysis or approximation theory, then this book will give you some good examples to discuss in class." MAA Reviews

2006. XXII, 266 p. 36 illus. Hardcover EUR 48.– / CHF 78.– / ISBN 978-0-8176-4372-0 110 Engineering and Scientific understanding the text. Each part of the book Computing with Scilab is followed by a copious list of references.... Also, in appropriate places there are Gomez, C. (Ed.) indications how computer algebra (REDUCE/ EXCALC) can be used.... The printing and "Highly recommended for students and appearance of the book are excellent.... It can professionals dealing with engineering and be warmly recommended." scientific computation – and seeking a Zentralblatt MATH powerful software alternative." Simulation News Europe 2003. XIV, 410 p. Hardcover EUR 94.– / CHF 144.– / ISBN 978-0-8176-4222-8 ;;9SRYHUßJVZLWK&'520+DUGFRYHU EUR 128.– / CHF 158.– / ISBN 978-0-8176-4009-5 Foundations of Time-Frequency Essential Wavelets for Data Analysis Analysis Gröchenig, K. Ogden, T. ANHA – Applied and Numerical Harmonic Analysis "The clear and intuitive presentation makes the book ideal for a broad audience." "This book is written by one of the leading Zentralblatt MATH experts in Gabor analysis and deserves 1997. 224 p. Hardcover considerable interest. It gives a unified EUR 51.– / CHF 86.– / ISBN 978-0-8176-3864-1 approach to most of the modern theory for time-frequency analysis from a First Steps in LaTeX mathematician's point of view, with new Grätzer, G. proofs of many recent results." Zentralblatt MATH "Fortunately, there are some excellent 2001. XV, 359 p. 14 illus. Hardcover books for learning LaTeX. Grätzer’s book is EUR 64.90 / CHF 109.– / ISBN 978-0-8176-4022-4 one of these superb books. Readers who work through this book are likely to reuse Fundamentals of Multibody
 it frequently as a reference while writing Dynamics papers with mathematical content." Journal of Mathematical Psychology Theory and Applications Amirouche, F. 1999. XX, 131 p. Softcover EUR 28.– / CHF 45.– / ISBN 978-0-8176-4132-0 "This textbook offers a comprehensive Foundations of Classical exposition of contemporary multibody dynamics elaborated by an expert in and an Electrodynamics experienced teacher of the field. There are Charge, Flux, and Metric five features that distinguish this publication: Hehl, F. W. / Obukhov, Y. N. comprehensivity, orientation towards computer implementation, utilization of PMP – Progress in Mathematical Physics, matrix algebra, teaching-by-examples Vol. 33 methodology, and embedding in the author's own research accomplishments.... [T]his is "Throughout this book, the rationalized an excellent textbook for undergraduate, MKS system of units is used, making graduate, and doctoral students of analysis more intelligible, and there are many diagrams which are of great help in 111 Numerical and Computational Mathematics / Applications

mechanical engineering, industrial physics Handbook of Computational and and robotics; it may also be recommended Numerical Methods in Finance as a reference text for researchers in these Rachev, S. T. (Ed.) areas." Mathematical Reviews 2004. VI, 435 p. Hardcover 2006. XV, 684 p. 216 illus. Hardcover EUR 74.90 / CHF 125.– / ISBN 978-0-8176-3219-9 EUR 128.– / CHF 208.– / ISBN 978-0-8176-4236-5 Handbook of Networked and Geometric Phases in
 Embedded Control Systems Classical and Quantum Hristu-Varsakelis, D. / Levine, W. S. (Eds) Mechanics Chruscinski, D. / Jamiolkowski, A. CE – Control Engineering

PMP – Progress in Mathematical Physics, "...The articles cover a broad spectrum of Vol. 36 state-of-the-art embedded control systems, related networking, and tools-of-the-trade "The book under review provides a unified topics. Though primarily a resource book treatment of geometric phases in quantum intended for control system researchers and classical mechanics, which is mainly and practitioners, it can serve as a course based on fiber bundle theory...[T]his is resource or supplemental reading for an a nice and well-written book about an upper-level undergraduate- or master's- interesting subject. It can be recommended level control systems course. Summing to students and researchers in mathematics Up: Recommended. Upper-division and theoretical physics with interests in undergraduates through professionals." geometric structures of theoretical physics Choice and with sufficient knowledge about differential geometry." Zentralblatt MATH 2005. X, 822 p. 256 illus. Hardcover EUR 68.– / CHF 108.– / ISBN 978-0-8176-3239-7 2004. XVIII, 344 p. 47 illus. Hardcover EUR 79.90 / CHF 135.– / ISBN 978-0-8176-4282-2 Hyperbolic Systems of Conservation Laws Global Smoothness and Shape The Theory of Classical and Preserving Interpolation by Nonclassical Shock Waves Classical Operators LeFloch, P. G. Gal, S. G. LM – Lectures in Mathematics. ETH Zürich "Many of the presented results are published 2002. X, 294 p. Softcover in this monograph for the first time.… EUR 27.– / CHF 44.– / ISBN 978-3-7643-6687-2 This book is written for researchers in approximation theory, and it contains a large number of results, presented in a concise way." SIAM Book Reviews

2005. XIII, 146 p. 20 illus. Hardcover EUR 74.90 / CHF 125.– / ISBN 978-0-8176-4387-4

112 Linear Systems
 Math into LaTeX Antsaklis, P. J. / Michel, A. N. Grätzer, G. 3rd ed. "There are three words that characterize this work: thoroughness, completeness "This book is truly unique in its focus on and clarity. The authors are congratulated getting started fast yet keeping it simple. It is for taking the time to write an excellent indispensable for the beginner and a handy linear systems textbook! …The authors reference for the experienced user." Bulletin have used their mastery of the subject to of the Mathematical Association of India produce a textbook that very effectively 2000. XXXVIII, 584 p. 80 illus. Softcover presents the theory of linear systems as EUR 42.– / CHF 66.– / ISBN 978-0-8176-4131-3 it has evolved over the last thirty years. The result is a comprehensive, complete Mathematical Finance and clear exposition that serves as an
 excellent foundation for more advanced and Probability topics in system theory and control." IEEE Koch Medina, P. / Merino, S. Transactions on Automatic Control "The style of presentation will appeal to "In assessing the present book as a potential anyone who is seeking an elementary textbook for our first graduate linear but rigorous introduction to the pricing of systems course, I find...[that] Antsaklis derivative securities. The book is written and Michel have contributed an expertly carefully and is very readable." Mathematical written and high quality textbook to the Reviews field and are to be congratulated…. Because 2003. VIII, 328 p. Softcover of its mathematical sophistication and EUR 44.90 / CHF 75.– / ISBN 978-3-7643-6921-7 completeness the present book is highly recommended for use, both as a textbook as Multiscale Methods in well as a reference." Automatica Quantum Mechanics
 1st ed. 1997. Corr. 2nd printing Theory and Experiment 2006. XVIII, 670 p. 85 illus. Hardcover EUR 72.– / CHF 112.– / ISBN 978-0-8176-4434-5 Blanchard, P. / Dell'Antonio, G. (Eds)

Linear Systems Theory TM – Trends in Mathematics A Structural Decomposition Approach 2004. X, 222 p. 39 illus. Hardcover EUR 118.– / CHF 193.50 / ISBN 978-0-8176-3256-4 Chen, B. M. / Lin, Z. / Shamash, Y.

CE – Control Engineering Neural Networks and Sea Time Series 2004. XVI, 416 p. 9 illus. Hardcover EUR 88.– / CHF 140.– / ISBN 978-0-8176-3779-8 Reconstruction and Extreme-Event Analysis Tirozzi, B. / Puca, S. / Pittalis, S. / Bruschi, A. / Morucci, S. / Ferraro, E. / Corsini, S.

MSSET – Modeling and Simulation in Science, Engineering and Technology

2006. X, 179 p. 64 illus. Hardcover EUR 72.– / CHF 112.– / ISBN 978-0-8176-4347-8 113 Numerical and Computational Mathematics / Applications

Nexus Network Journal 8,1 Numerical Methods for
 Williams, K. (Ed.) Conservation Laws LeVeque, R. J. NNJ – Nexus Network Journal, Vol. 8,1 2nd ed. 2006. 144 p. Softcover EUR 38.– / CHF 58.– / ISBN 978-3-7643-7747-2 LM – Lectures in Mathematics. ETH Zürich

Nexus Network Journal 8,2 "The computing community needs a good Architecture and Mathematics text on modern methods for conservation laws, and these notes provide an excellent Williams, K. (Ed.) start on that text. Equally important, LeVeque's perspective and writing style make NNJ – Nexus Network Journal, Vol. 8,2 for wonderful reading and learning. (How 2006. 121 p. 77 illus. Softcover often do we find important content and good EUR 38.– / CHF 58.– / ISBN 978-3-7643-7761-8 writing in one book?)" SIAM Reviews

Nonlinear Multiobjective 1992. 214 p. 57 illus. Softcover Optimization EUR 23.– / CHF 38.– / ISBN 978-3-7643-2723-1 A Generalized Homotopy Approach Numerical Methods for Hillermeier, C.
 Scientists and Engineers ISNM – International Series of Numerical Antia, H.M. Mathematics, Vol. 135 2nd ed.

2001. VII, 135 p. Hardcover 2002. XXII, 842 p. With CD-ROM. Hardcover EUR 78.– / CHF 118.– / ISBN 978-3-7643-6498-4 EUR 49.– / CHF 86.– / ISBN 978-3-7643-6715-2

Numerical Analysis Optimal Control Gautschi, W.
 Vinter, R.

"The book reads like an unfolding story... SC – Systems & Control: Foundations & Topics are motivated with great care and Applications

ingenuity that might be given to establishing 2000. XVII, 507 p. 13 illus. Hardcover the drive behind characters in a good novel... EUR 148.– / CHF 168.– / ISBN 978-0-8176-4075-0 Clarity is never sacrificed for elegance. Above all, the pace is always lively and brisk, the Optimal Stopping and writing concise, and the author never lets the Free-Boundary Problems exposition bog down... Both the theoretical / problems and machine assignments are a Peskir, G. Shiryaev, A. great resource... This is a stylish, lucid, and LM – Lectures in Mathematics. ETH Zürich engaging book... [It] successfully conveys the author's interest and experience in the 2006. XXII, 500 p. Hardcover subject to the reader." SIAM Review EUR 48.– / CHF 78.– / ISBN 978-3-7643-2419-3

1996. 524 p. Hardcover EUR 69.90 / CHF 119.– / ISBN 978-0-8176-3895-5

114 Perturbation Methods and Sampling, Wavelets, and Semilinear Elliptic Problems on Rn Tomography Ambrosetti, A. / Malchiodi, A. Benedetto, J. J. / Zayed, A. (Eds)

PM – Progress in Mathematics, Vol. 240 ANHA – Applied and Numerical Harmonic Analysis Winner of the Ferran Sunyer i Balaguer Prize 2005 "This state-of-the-art book not only presents new results… but it also demonstrates the 2006. IX, 183 p. Hardcover EUR 42.– / CHF 68.– / ISBN 978-3-7643-7321-4 role of sampling in both wavelet theory and tomography.… The topics covered (from PID Controllers for Time-Delay frame theory, time-frequency analysis, to tomography or new results on wavelets) show Systems the wide range in the high level of activity in Silva, G. J. / Datta, A. / Bhattacharyya, S. P. this area." Monatshefte für Mathematik

CE – Control Engineering 2004. XXI, 344 p. Hardcover EUR 64.90 / CHF 109.– / ISBN 978-0-8176-4304-1

"Those who have followed the area closely will notice that the authors of PID Controllers Singular Sets of Minimizers for the for Time-Delay Systems have taken a path Mumford-Shah Functional quite different from other researchers. In David, G. particular, the authors have concentrated on characterizing the complete set of PM – Progress in Mathematics, Vol. 233 PID controls that stabilize a system. This approach gives the old topic a rather modern Award-winning monograph of the flavor. The significance of this line of research Ferran Sunyer i Balaguer Prize 2004. is obvious…. The authors do an excellent job presenting the materials systematically, "This monograph is the Ferran Sunyer i striking a balance between mathematical Balaguer 2004 prize winner.The book under rigor and accessibility to average readers. review gives an excellent overview of a part The book contains numerous diagrams and of the work done in recent years on this many illustrative examples to enhance its problem … and the book is therefore a useful readability...[and] is very well written and can source for mathematicians working in this be used for self-study and as a reference." field." Mathematical Reviews IEEE Control Systems Magazine 2005. XIV, 581 p. Hardcover EUR 109.– / CHF 179.– / ISBN 978-3-7643-7182-1 2005. XII, 330 p. 137 illus. Hardcover EUR 82.– / CHF 130.– / ISBN 978-0-8176-4266-2 Stability of Time-Delay Systems Relaxation and Decomposition Gu, K. / Kharitonov, V. L. / Chen, J. Methods for Mixed Integer Nonlinear Programming CE – Control Engineering Nowak, I. 2003. XXII, 354 p., 16 illus. Hardcover EUR 108.– / CHF 158.– / ISBN 978-0-8176-4212-9 ISNM – International Series of Numerical Mathematics, Vol. 152

2005. XVI, 213 p. Hardcover EUR 94.90 / CHF 159.– / ISBN 978-3-7643-7238-5 115 Numerical and Computational Mathematics / Applications

Statistics and Analysis The Mathematics of the Bose

 of Shapes Gas and its Condensation Krim, H. / Yezzi, Jr., A. (Eds) Lieb, E. H. / Seiringer, R. / Solovej, J. P. / Yngvason, J. MSSET – Modeling and Simulation in Science, Engineering and Technology OWS – Oberwolfach Seminars, Vol. 34

2006. XI, 395 p. 143 illus. Hardcover EUR 68.– / CHF 108.– / ISBN 978-0-8176-4376-8 "The presentation provides significant insight into a large part of the current issues Stochastic Switching Systems of interest in the physics of Bose systems and especially into the "kitchen" of several Analysis and Design relevant mathematical techniques. As such, Boukas, E.–K. it is highly recommended to both advanced researchers and students preparing to work CE – Control Engineering in this field." Mathematical Reviews

"The text contains a large number of 2005. VIII, 208 p. Softcover EUR 29.90 / CHF 49.90 / ISBN 978-3-7643-7336-8 simple examples. The appendix collects together results from linear systems theory and probability, which may be The Topos of Music helpful in understanding the material. Geometric Logic of Concepts, Theory, The bibliography...is accurate and up-to- and Performance date. The treatment of robust stability and Mazzola, G. stabilization is carried out in parallel with the corresponding results for nominal systems "Topos of Music is an extensive and models; this feature will be particularly elaborate body of mathematical useful to practicing engineers. Also, almost investigations into music and involves all of the results are expressed in terms of several and ontologically different levels LMIs and/or their solutions; this is a unifying of musical description. Albeit the author characteristic and is indeed advantageous on Guerino Mazzola lists 17 contributors account of readily available complete catalog and 2 collaborators, the book should be of the results in the area of MLSs; practicing characterized as a monograph. Large engineers, in particular, will find it useful." portions of the content represent original Mathematical Reviews research of Mazzola himself, and the

2006. X, 405 p. 7 illus. Hardcover material from other work is exposed EUR 78.– / CHF 118.– / ISBN 978-0-8176-3782-8 from Mazzola's point of view and is well referenced. The preface preintimates an The Linearized Theory of Elasticity intended double meaning of the term topos in the title. On the one hand, it Slaughter, W. S. provides a mathematical anchor, which is "This very accessible book will be of interest programmatic for the entire approach: the in teaching or learning linear elasticity." concept of a cartesian closed category with Zentralblatt MATH a subobject classifier." Zentralblatt MATH 2002. 1368 p. Hardcover 2002. XVI, 543 p. 36 illus. Hardcover EUR 129.– / CHF 219.– / ISBN 978-3-7643-5731-3 EUR 108.– / CHF 178.– / ISBN 978-0-8176-4117-7

116 Transforms and Fast the Fourier domain as the proper "window"
 Algorithms for Signal or "looking glass" from which one can most Analysis and Representations easily study wavelet theory.... Whatever his or her level of expertise with the subject, Bi, G. / Zeng, Y. a reader of this book will never be bored.... ANHA – Applied and Numerical Harmonic Each chapter begins with an introductory Analysis section accessible to the layperson, often containing some historical background, and 2004. XVIII, 422 p., 92 illus. Hardcover often extremely entertaining.... This is a fun EUR 88.– / CHF 136.– / ISBN 978-0-8176-4279-2 book, full of exciting new results, written by two world-renowned experts in the field, Variational Methods in Shape which makes connections between a variety
 Optimization Problems of important areas in pure and applied Bucur, D. / Buttazzo, G. mathematics." SIAM Review 2002. XX, 398 p. 122 illus. Hardcover PNLDE – Progress in Nonlinear Differential EUR 59.90 / CHF 99.– / ISBN 978-0-8176-4280-8 Equations and Their Applications, Vol. 65

2005. VIII, 216 p. 19 illus. Hardcover EUR 58.– / CHF 88.– / ISBN 978-0-8176-4359-1

Vibration Problems in Structures
 Practical Guidelines Bachmann, H. / Ammann, W. J. / Deischl, F. / Eisenmann, J. / Floegl, I. / Hirsch, G. H. / Klein, G. K. / Lande, G. J. / Mahrenholtz, O. / Natke, H. G. / Nussbaumer, H. / Pretlove, A. J. / Rainer, J. H. / Saemann, E.–U. / Steinbeisser, L.

1995. XVII, 234 p. Hardcover EUR 49.– / CHF 78.– / ISBN 978-3-7643-5148-9

Wavelets Through a
 Looking Glass The World of the Spectrum Bratteli, O. / Jorgensen, P.

ANHA – Applied and Numerical Harmonic Analysis

"Mere words cannot adequately describe all the great features of the book...which has something for everyone of all mathematical persuasions.... This book has quite a different perspective from the other monographs on wavelets...mainly because it emphasizes 117 Of general interest



2nd ed.

Colloquium De Giorgi 2006 Mathematical Olympiad Zannier, U., Scuola Normale Superiore, Pisa, Challenges Italy (Ed.) Second Edition Andreescu, T., University of Texas at Dallas, Publications of the Scuola Normale Richardson, TX, USA / Gelca, R., Texas Tech Superiore / Colloquia, Vol. 1 University, Lubbock, TX, USA This book contains expositions of talks of Due in October 2007 the Colloquio De Giorgi, given by eminent experts and addressed to a ‘general’ public This significantly revised and expanded (audience) of mathematicians. The topics second edition of Mathematical Olympiad are prepared in such a way that readers will Challenges is a rich collection of problems get some idea of recent progress in several put together by two experienced and well- mathematical fields. known professors and coaches of the U.S. International Mathematical Olympiad Team. 2007. 61 p. Softcover EUR 16.– / CHF 28.– / ISBN 978-88-7642-212-6 Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory from numerous mathematical competitions and journals have been selected and updated. The problems are clustered by topic into self-contained sections with solutions provided separately. Historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on creative solutions to open- ended problems. With many new or expanded examples, problems, and solutions, this second edition includes completely rewritten discussions preceding each of the 30 units, as well as a more user-friendly style with more accessible and inviting examples. This text can be used for creative problem- solving courses, for professional teacher development seminars and workshops, for self-study, or as a resource for training for mathematical competitions.

2007. Approx. 320 p. Softcover 118 Approx. EUR 24.95 / CHF 41.– / ISBN 978-0-8176-4528-1



Symmetry The Math Problems Notebook Cultural-historical and Ontological Boju, V., MontrealTech, Institute de Aspects of Science-Arts Relations; the Technologie de Montreal, Quebec, Canada / Natural and Man-made World in an Funar, L., CNRS, Université de Grenoble I, Interdisciplinary Approach France Darvas, G., Hungarian Academy of Sciences, Due in September 2007 Budapest, Hungary The Math Problems Notebook is a collection The first comprehensive book on the topic of non-trivial, unconventional problems in half a century explores recent discoveries requiring deep insight and imagination related to symmetry and symmetry breaking, nostalgic of those discussed at the discussing the questions and answers Sunday Math Circles. These circles are they raise in a broad range of disciplines: comprised of college students who have particle and high-energy physics, structural a common passion for mathematics, and chemistry and the biochemistry of proteins, have become a place for disseminating genetic code study, brain research, as well beautiful mathematics at an elementary as architectural structures and business level. Following in the tradition of the math decision-making, to name but a few circles, the authors hope to inspire further examples. enjoyment of mathematics with their 2007. XI, 508 p. 420 illus., 66 in color. Softcover collection of problems. EUR 59.90 / CHF 105.– / ISBN 978-3-7643-7554-6 The problems cover many topics, including number theory, algebra, combinatorics, geometry and analysis, of varying levels of difficulty; beginning with simple exercises and following with more difficult problems, challenging enough even for the experienced problem solver. The introductory problems focus on the basic methods and tools while the advanced problems aim to develop problem solving techniques, intuition and to promote further research in the area. Undergraduates and teachers of advanced mathematics, as well as the casual mathematician will mutually enjoy The Math Problems Notebook.

2007. Approx. 282 p. 21 illus. Softcover Approx. EUR 29.95 / CHF 49.50 / ISBN 978-0-8176-4546-5 119 Of general interest

Exploring, Investigating and Mathematical Olympiad

 Discovering in Mathematics Challenges Berinde, V. Andreescu, T. / Gelca, R. Second Edition "Each of the 24 chapters begins with a source or starting problem and its solution. "This [book] is…much more than just Then the fun begins! Remarks about the another collection of interesting, challenging "essence" of the problem and its solution problems, but is instead organized suggest new directions to explore, and these specifically for learning. The book expertly investigations lead to generalizations and the weaves together related problems, so that formulation of related problems, sometimes insights gradually become techniques, building a "factory" of new problems. From tricks slowly become methods, and the first page I eagerly grabbed my pencil and methods eventually evolve into mastery…. a stack of scratch paper, and set to work as I I strongly recommend this book for anyone happily read along.... I recommend the book interested in creative problem-solving in for all lovers of mathematics, but especially mathematics…. It has already taken up a students and teachers who participate in prized position in my personal library, and mathematics contests and practice problem is bound to provide me with many hours of solving." MAA Online intellectual pleasure." The Mathematical Gazette 2004. XIX, 246 p. Softcover EUR 34.90 / CHF 59.90 / ISBN 978-3-7643-7019-0 1st ed. 2000. Corr. 2nd printing 2001. XVII, 260 p. 80 illus. Softcover Fibonacci Numbers EUR 28.– / CHF 38.– / ISBN 978-0-8176-4155-9 Vorobiev, N.N. Mathematical Olympiad
 "This is a wonderful book with a huge amount Treasures of information on Fibonacci numbers. First Andreescu, T. / Enescu, B. published in the 1950s for high school students enrolled in a mathematical "I took great pleasure in reading circle at the Leningrad State University, Mathematical Olympiad Treasures, by the book only assumes knowledge of high Titu Andreescu and Bogdan Enescu. This school mathematics, but the reader will book is the fruit of the prodigious activity of need the sophistication of a good upper- two well-known creators of mathematics level mathematics major. The warmth and problems in various mathematical journals.... enthusiasm of the late author comes through I believe strongly that Mathematical Mircea Martin's English translation.... This Olympiad Treasures will reveal the beauty of book would be useful to any mathematician mathematics to all students, teachers and with a desire to know more about the all math lovers." MAA Online Fibonacci numbers. A student could use it for 2004. VI, 234 p. Softcover a reading project on the Fibonacci numbers.... EUR 28.– / CHF 48.– / ISBN 978-0-8176-4305-8 Overall, I enjoyed the book and highly recommend it." MAA Online Two Cultures 2002. X, 176 p. Softcover Essays in Honour of David Speiser EUR 29.90 / CHF 49.90 / ISBN 978-3-7643-6135-8 Williams, K. (Ed.)

2006. 201 p. Hardcover EUR 68.– / CHF 108.– / ISBN 978-3-7643-7186-9 120 History of Science

Complete Works of Charles- François Sturm

A History of Abstract Algebra Complete Works of Kleiner, I., York University, Toronto, ON, Charles-François Sturm Canada Pont, J.-C., Université de Genève, Switzerland (Ed.) Due in September 2007 Due in Autumn 2007 Prior to the nineteenth century, algebra meant the study of the solution of Charles François Sturm was born in Geneva, polynomial equations. By the twentieth Switzerland, on September 29, 1803. He century it came to encompass the study of obtained his scientific education in this abstract, axiomatic systems such as groups, city and Geneva honoured his memory on rings, and fields. This presentation provides the occasion of the 200th anniversary of an account of the intellectual lineage behind his birth by a colloquium and workshop in many of the basic concepts, results, and Geneva held in 2003. theories of abstract algebra. This volume is based on lectures The development of abstract algebra was presented at this colloquium. The focus propelled by the need for new tools to is on C.F. Sturm's own work. The book address certain classical problems that contains particular reproductions of his appeared unsolvable by classical means. A scientific publications. Sturm contributed major theme of the approach in this book is notably to geometry, algebra, analysis, to show how abstract algebra has arisen in optics, mechanics, other work in physics attempts to solve some of these classical (particularly fluid mechanics and speed of problems, providing a context from which sound in water). the reader may gain a deeper appreciation of the mathematics involved. These original papers are accompanied by contributions from internationally renowned Mathematics instructors, algebraists, and experts thereby deepening topics like historians of science will find the work differential equations, optics and algebraic a valuable reference. The book may also curves. The volume complements the book serve as a supplemental text for courses on the development of Sturm-Liouville in abstract algebra or the history of theory (ISBN 978-3-7643-7066-4) that also mathematics. originates from that colloquium.

2007. Approx. 176 p. 24 illus. Softcover 2007. Approx. 630 p. Hardcover Approx. EUR 42.– / CHF 68.– / ISBN 978-0-8176-4684-4 EUR 88.– / CHF 140.– / ISBN 978-3-7643-7989-6

121 History of Science

Die Werke von Johann I und Nicolaus II Bernoulli / Band 6

Die Werke von Johann I und Geometry and Monadology Nicolaus II Bernoulli / Band 6 Leibniz's Analysis Situs and Philosophy Bernoulli, J. I / Bernoulli, N. II of Space Volume Editor: Villaggio, P., University of De Risi, V., Scuola Normale Superiore, Pisa, Pisa, Italy Italy

This volume on mechanics of rigid and SNHS – Science Networks. Historical elastic bodies contains early papers Studies, Vol. 33 concerning geometric statics, accompanied by works dealing with the motion of This book reconstructs, both from the compound pendula and the deformation historical and theoretical points of view, of beams. The papers on mechanics in Leibniz’s geometrical studies, focusing in this volume do not encompass the area of particular on the research Leibniz carried on hydraulics, which occupies approximately in the last years of his life. one half of the papers dealing with mechanical problems and which are The main purpose of the work is to offer included in volume 7. This collection a better understanding of the philosophy constitutes, roughly, one eighth of the entire of space and in general of the mature work written by Bernoulli. Leibnizean metaphysics, through a pressing confrontation with the problems of 2007. Approx. 400 p. Cloth bound geometric foundation. Regarding this scope EUR 198.– / CHF 328.– / ISBN 978-3-7643-7367-2 of problems, the book also deals quite in depth with Leibniz’s theory of sensibility, thus favouring the comparison and contrast between Leibniz’s philosophy and Kant’s transcendentalist solution. The Appendix gives editing to a number of previously unpublished manuscripts on geometry from the Leibniz Archiv.

2007. XX, 658 p. Hardcover EUR 139.– / CHF 229.– / ISBN 978-3-7643-7985-8

122 Jacopo da Firenze. Tractatus algorismi

History of Banach Spaces and Jacopo da Firenze. Linear Operators Tractatus algorismi Pietsch, A., University of Jena, Germany Høyrup, J., Roskilde University, Denmark

Written by a distinguished specialist in SNHS – Science Networks. Historical functional analysis, this book presents a Studies, Vol. 34 comprehensive treatment of the history of Banach spaces and (abstract bounded) Due in January 2008 linear operators. Banach space theory is presented as a part of a broad mathematics The book deals with a Tractatus algorismi context, using tools from such areas as set written in 1307 in Montpellier by a certain theory, topology, algebra, combinatorics, Jacopo da Firenze. This work is one of the probability theory, logic, etc. Equal emphasis earliest surviving "abbacus" treatises, is given to both spaces and operators. that is, textbooks for the vernacular school for merchant youth which sprung up in The book may serve as a reference for Northern Italy in the later 13th century, and researchers and as an introduction for by far more orderly than any of the extant graduate students who want to learn predecessors. It is also the first to contain a Banach space theory with some historical presentation of algebra. flavor. The book contains an edition and an English 2007. XXIII, 855 p. 82 illus. Hardcover EUR 109.– / CHF 179.– / ISBN 978-0-8176-4367-6 translation of a manuscript from c. 1450 which is a meticulous copy of a meticulous copy; a critical edition of an abridged version of which two manuscripts exist, and an extensive discussion of the contents of the treatise and its location within early abbacus culture – including evidence that this culture was transnational and probably older in the Catalan-Provençal area than in Italy.

2008. Approx. 500 p. Hardcover EUR 99.– / CHF 169.– / ISBN 978-3-7643-8390-9

123 History of Science

Labyrinth of Thought

2nd ed.

La correspondance entre Henri Labyrinth of Thought Poincaré et les physiciens, A History of Set Theory and Its Role in chimistes et ingénieurs Modern Mathematics Walter, S. / Bolmont, E. / Coret, A., all Ferreirós, J., Universidad de Sevilla, Spain. Université Nancy 2, France (Eds) "José Ferreirós has written a magisterial PAHP – Publications des Archives Henri account of the history of set theory which Poincaré / Publications of the Henri Poincaré is panoramic, balanced, and engaging. Archives Not only does this book synthesize much previous work and provide fresh insights and L'intérêt que portait Henri Poincaré (1854- points of view, but it also features a major 1912) à des questions d'ordre physique a innovation, a full-fledged treatment of the été durable et profond; elle couvre presque emergence of the set-theoretic approach toute sa carrière, et marque l'histoire de in mathematics from the early nineteenth la physique tout au long du 20ème siècle. century. This takes up Part One of the book. Sa correspondance avec cinquante-et- Part Two analyzes the crucial developments un physiciens, quatre chimistes, et cinq in the last quarter of the nineteenth ingénieurs commence dès 1879, lorsqu'il century, above all the work of Cantor, but s'engage activement dans la recherche also Dedekind and the interaction between scientifique. Elle est rythmée par des the two. Lastly, Part Three details the grandes découvertes d'ordre expérimental, development of set theory up to 1950, taking instrumental, et théorique. account of foundational questions and the emergence of the modern axiomatization." Henri Poincaré, while well-known as the (Bulletin of Symbolic Logic) most brilliant mathematician at the close of the 19th century, is also a founder of 20th- 2007. Approx. 464 p. 7 illus. Softcover EUR 59.90 / CHF 105.– / ISBN 978-3-7643-8349-7 century physics, in virtue of his fundamental contributions to Maxwell's theory, systems dynamics, electron theory, relativity and quantum theory. These subjects and others are discussed in this critical edition of his correspondence with sixty physicists, chemists, and engineers.

2007. 515 p. Hardcover EUR 199.– / CHF 329.– / ISBN 978-3-7643-7136-4

124 Euler Euler Tercentenary Tercentenary 2007 2007

Leonhard Euler Leonhard Euler Fellmann, E.A., Basel, Switzerland A Man to Be Reckoned with Heyne, A.K. / Heyne, A.K. (Text) / Pini, E. Euler was not only by far the most (Illustrations) productive mathematician in the history of mankind, but also one of the greatest His ideas turned the mathematical world scholars of all time. He attained, like only on its head. He calculated the currents of a few scholars, a degree of popularity and liquids, the moment of inertia, developed fame which may well be compared with that the calculus of variations and the modern of Galilei, Newton, or Einstein. number theory. As scientist he should be Moreover he was a cosmopolitan in the placed on the same level as Newton and truest sense of the word; he lived during Einstein. his first twenty years in Basel, was active Engineers all over the world use his altogether for more than thirty years in formulas every day – whether it be for Petersburg and for a quarter of a century in constructing the hull of the "Alinghi" or for Berlin. calculating the vibrations of the "Viaduc Leonhard Euler’s unusually rich life and de Millau", the world's highest motorway broadly diversified activity in the immediate bridge. vicinity of important personalities which He was, however, a man who loved the peace have made history, may well justify an and quiet of his home life – not easy at the exposition. time of the foundation of St. Petersburg, This book is based in part on unpublished when murdering czars was daily business; sources and comes right out of the current or in Berlin at the time of the Silesian wars; research on Euler. It is entirely free of and particularly not in the midst of a crowd formulae as it has been written for a broad of children. audience with interests in the history of The comic by Elena Pini (illustrations) and culture and science. Alice and Andreas K. Heyne (text) follows 2007. XV, 179 p. 58 illus. Hardcover the life of the genius from Basel, who, born EUR 29.90 / CHF 49.90 / ISBN 978-3-7643-7538-6 300 years ago, would set out to change the scientific world.

2007. 45 p. Hardcover EUR 19.90 / CHF 32.90 / ISBN 978-3-7643-8332-9

125 History of Mathematics

1st ed. 1999. 2nd printing

Lise Meitner and the Dawn of the The Legacy of Mario Pieri in Nuclear Age Geometry and Arithmetic Rife, P., University of Maryland, Adelphi, MD, Marchisotto, E.A., California State USA University, Northridge, CA, USA / Smith, J.T., San Francisco State University, In this captivating biography, Patricia Rife San Francisco, CA, USA interprets both the life and times of Lise Meitner (1878-1968), the female physicist The Legacy of Mario Pieri in Geometry and at the heart of the discovery of nuclear Arithmetic introduces readers to Pieri’s fission. She was a colleague and friend of career and his studies in foundations, from many of the giants of 20th century physics: both historical and modern viewpoints, M. Planck, her Berlin mentor, A. Einstein, M. placing his life and research in context and von Laue, Madame M. Curie, J. Chadwick, tracing his influence on his contemporaries W. Pauli, and N. Bohr. Meitner was the as well as more recent mathematicians. first woman to earn a Ph.D. in physics at The text also provides a glimpse of the the University of Vienna, a pioneer in the Italian academic world of Pieri's time, research of radioactive processes and, and its relationship with the developing together with her nephew Otto Robert Frisch, international mathematics community. an interpreter of the process of nuclear Combining an engaging exposition, little- fission in 1938. Yet at the end of World War known historical information, exhaustive II, her colleague of thirty years, radiochemist references and an excellent index, Otto Hahn alone was awarded the 1944 this text will be of interest to graduate Nobel Prize in Chemistry for the "discovery" students, researchers and historians with of nuclear fission – a discovery based on a general knowledge of logic and advanced years of research in which Meitner was mathematics, and it requires no specialized directly involved before her secret escape experience in mathematical logic or the from Nazi Germany. foundations of geometry. 2007. XVIII, 432 p. 35 illus. Softcover EUR 39.90 / CHF 65.– / ISBN 978-0-8176-4559-5 2007. XIX, 494 p. 67 illus. Hardcover EUR 109.– / CHF 179.– / ISBN 978-0-8176-3210-6

126 Bernhard Riemann 1826-1866 Turning Points in the Conception of Mathematics Laugwitz, D. / Shenitzer, A. "...the author has succeeded admirably... stating the technical details clearly and correctly while writing an engaging and readable account of Riemann’s life Tool and Object and work... Any reader of this book with A History and Philosophy of Category even a passing interest in the history or Theory philosophy of mathematics is certain to become engaged in a mental conversation Krömer, R., University of Nancy, France with the author... The format of the book is excellent, especially the plentiful supply of SNHS – Science Networks. Historical photographs of people and places... The book Studies, Vol. 32 will serve as an interesting read and also a useful reference... It is highly recommended." Category theory is a general mathematical Bulletin of the AMS theory of structures and of structures of structures. It occupied a central position 1998. 380 p. Hardcover EUR 79.90 / CHF 135.– / ISBN 978-0-8176-4040-8 in contemporary mathematics as well as computer science. This book describes the history of category theory whereby Gnomes in the Fog illuminating its symbiotic relationship to The Reception of Brouwer's algebraic topology, homological algebra, Intuitionism in the 1920s algebraic geometry and mathematical logic Hesseling, D. E. and elaboratively develops the connections with the epistemological significance. SNHS – Science Networks. Historical Studies, Vol. 28 2007. XXXVI, 367 p. Hardcover EUR 99.– / CHF 169.– / ISBN 978-3-7643-7523-2 "…Gnomes in the Fog tells the story of that important and influential episode in the history of mathematics, in fascinating and delicious detail.... [A]nyone with an interest in mathematics and its history and philosophy, should enjoy this book. Mathematicians (especially logicians) may find some surprises in the first chapter, on Brouwer's predecessors; philosophers and science study scholars should especially appreciate the final chapter on the cultural context of the debate.... One of the many treasures to be discovered in reading this book is the rich collection of original quotes in the many languages in which the debate took place, along with the author's translations." MAA Online

2003. XXIII, 447 p. Hardcover EUR 109.– / CHF 179.– / ISBN 978-3-7643-6536-3 127 History of Mathematics

Hermann Weyl's Raum – recommend and that every mathematical Zeit – Materie and a General library should have." Introduction to his Scientific Work Numerical Algorithms Scholz, E. (Ed.) 1996. 163 p. Softcover EUR 20.– / CHF 34.– / ISBN 978-3-7643-5410-7 OWS – Oberwolfach Seminars, Vol. 30 Expounding the 2001. Softcover EUR 46.– / CHF 74.– / ISBN 978-3-7643-6476-2 Mathematical Seed A Translation of Bhaskara I on Einstein from 'B' to 'Z' the Mathematical Chapter of the Stachel, J. Aryabhatiya Keller, A. ES – Einstein Studies, Vol. 9 SNHS – Science Networks. Historical Studies, Vols. 31/32 "The book does manage to paint a human picture of Einstein rather than try to build 2006. LXIV, 412 p. 128 illus. (2-volume-set) on the popular legend and there is no doubt EUR 128.– / CHF 208.– / ISBN 978-3-7643-7299-6 that it will be used by historians as well as mathematicians and natural scientists Indiscrete Thoughts as one of the most reliable studies of the Rota, G.-C. / Palombi, F. man. It is the sort of book that one would expect to find in the library of all schools and "Read Indiscrete Thoughts for its account of universities." The Mathematical Gazette the way we were and what we have become; for its sensible advice and its exuberant 2002. XI, 556 p. 5 illus. Hardcover rhetoric." The Mathematical Intelligencer EUR 64.90 / CHF 109.– / ISBN 978-0-8176-4143-6

1996. Hardcover Essays on the History of EUR 54.90 / CHF 90.– / ISBN 978-0-8176-3866-5 Mechanics In Memory of Clifford Ambrose Italian Mathematics Between the Truesdell and Edoardo Benvenuto Two World Wars Becchi, A. / Corradi, M. / Foce, F. / Guerraggio, A. / Nastasi, P. Pedemonte, O. (Eds) SNHS – Science Networks. Historical 2003. 256 p. Hardcover Studies, Vol. 29 EUR 44.90 / CHF 75.– / ISBN 978-3-7643-1476-7

“What the book conveys is the richness of Evariste Galois (1811-1832) Italian mathematics throughout the period Toti Rigatelli, L. and, despite being expert in none of these fields, the authors captured my imagination VM – Vita Mathematica, Vol. 11 and made me want to know more of such mathematical ideas … immensely enjoyable "This very pleasant, interesting and well- for all that.” MAA Reviews written biography is based on the analysis and interpretation of a series of hitherto 2006. X, 299 p. Hardcover EUR 88.– / CHF 148.– / ISBN 978-3-7643-6555-4 neglected documents found by the author in the French archives. Certainly a book to 128 Modern Algebra and the Rise of Writing the History of Mathematical Structures Mathematics – Its Historical Corry, L. Development 2nd revised ed. Dauben, J. W. / Scriba, C. J. (Eds) 2004. 451 p. Softcover EUR 64.90 / CHF 109.– / ISBN 978-3-7643-7002-2 SNHS – Science Networks. Historical Studies, Vol. 27

The History of Approximation "This book, a historiographical one, is very Theory useful as a reference.... The book is unique. It should be in all libraries that support From Euler to Bernstein graduate level history and philosophy of Steffens, K.-G. science and mathematics. Other libraries should consider purchasing it. Individuals "The discussion of mathematical results and familiar with the subject may wish to own ideas constitutes the main part of the book – it. Beginners should start with histories." always accompanied by moving stories, Mathematical Reviews marked by devotion to science, by humanity, and often by the cruelty of the political 2002. IXX, 689 p. Softcover EUR 89.90 / CHF 149.– / ISBN 978-3-7643-6167-9 turbulence of Russian history. Undoubtedly, the author has succeeded in catching the spirit both of the Russian atmosphere of that time and of the depth and richness of the human relationships of the people involved." Mathematical Reviews

2006. XIX, 219 p. 22 illus. Softcover EUR 68.– / CHF 98.– / ISBN 978-0-8176-4353-9

The Power of Images in Early Modern Sciences Lefèvre, W. / Renn, J. / Schoepflin, U.

2003. IX, 308 p. Softcover EUR 119.– / CHF 199.– / ISBN 978-3-7643-2434-6

The Universe of General Relativity Kox, A. J. / Eisenstaedt, J. (Eds)

ES – Einstein Studies, Vol. 11

2005. X, 383 p., 17 illus. Hardcover EUR 79.90 / CHF 135.– / ISBN 978-0-8176-4380-5

129 Titel in Deutscher Sprache



Neue Lehrbuch- reihe

Mathematik Kompakt Algorithmische Methoden Die neue Lehrbuchreihe für den Band 1: Zahlen, Vektoren, Polynome Bachelor- und Masterstudiengang Kügler, P., Universität Linz, Austria / Windsteiger, W., Universität Linz, Austria Herausgeber: Martin Brokate, TU München Erscheint zum Wintersemester 2007/08 Heinz W. Engl, Universität Wien Karl-Heinz Hoffmann, TU München Algorithmische Methoden ist ein Lehrbuch Götz Kersting, Universität Frankfurt / Main zur Computer-orientierten Begleitung Gernot Stroth, Universität Halle der Analysis und Linearen Algebra. Es werden gängige Fragestellungen Die neu konzipierte Lehrbuchreihe der Analysis und linearen Algebra Mathematik Kompakt ist eine Reaktion auf diskutiert und unter Verwendung der die Umstellung der Diplomstudiengänge Softwarepakete Matlab und Mathematica in Mathematik zu Bachelor- und auch am Computer beantwortet. Masterabschlüssen. Ähnlich wie die Mathematische Standard-Algorithmen neuen Studiengänge selbst ist die Reihe werden im Detail vorgestellt und deren modular aufgebaut und als Unterstützung Umsetzung in Computerprogramme der Dozenten wie als Material zum besprochen. Zusätzlich wird erläutert, wie Selbststudium für Studenten gedacht. Der in Mathematica und Matlab eingebaute Umfang eines Bandes orientiert sich an Funktionen zur Lösung der diskutierten der möglichen Stofffülle einer Vorlesung Probleme herangezogen werden können. von zwei Semesterwochenstunden. Die Inhalte sind nach den verschiedenen Der Inhalt greift neue Entwicklungen Datentypen, etwa Polynome, reelle des Faches auf und bezieht auch die Funktionen und Matrizen, gegliedert. Im Möglichkeiten der neuen Medien mit ein. Vordergrund stehen die Repräsentierung der Viele anwendungsrelevante Beispiele Objekte am Computer, Grundoperationen geben dem Benutzer Übungsmöglichkeiten. auf diesen Objekten und typische Zusätzlich betont die Reihe Bezüge der Fragestellungen, die im Zusammenhang mit Einzeldisziplinen untereinander. diesen Objekten auftreten. Im Buch werden Mit Mathematik Kompakt entsteht die Algorithmen dazu in Pseudocode erklärt. eine Reihe, die neue Studienstrukturen Elektronisches Begleitmaterial beinhaltet unterstützt und für Dozenten und Studenten konkrete Programme für Mathematica ein breites Spektrum an Wahlmöglichkeiten und Matlab, alle Beispiele aus dem Buch, bereitstellt. Grafiken und auch interaktive Elemente zum Erlernen des vorgestellten Stoffes.

www.birkhauser.ch/mathekompakt 2007. Etwa 150 S. Brosch. EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 ISBN 978-3-7643-8434-0 130
 Algorithmische
 Methoden

Algorithmische Methoden Numerik Band 2: Folgen, Funktionen, Matrizen Band 1: Stationäre Probleme Kügler, P. / Windsteiger, W., beide Universität Zulehner, W., Universität Linz, Austria Linz, Austria Erscheint zum Wintersemester 2007/08 Erscheint zum Sommersemester 2008 Numerik, aufgeteilt in zwei Dies ist der zweite Band von Algorithmische Bände, ist eine Einführung in die Methoden, ein Lehrbuch zur Computer- Numerische Mathematik anhand von orientierten Begleitung der Analysis und Differentialgleichungsproblemen. Gegliedert Linearen Algebra. nach elliptischen, parabolischen und hyperbolischen Differentialgleichungen Aus dem Inhalt: wird zunächst jeweils die Diskretisierung 1) Folgen und Reihen solcher Probleme besprochen. Als 2) Funktionen von R nach R: Diskretisierungstechniken stehen Differenzieren Finite-Elemente-Methoden im Raum Integration und (partitionierte) Runge-Kutta- Nullstellenberechnung Methoden in der Zeit im Vordergrund. Die 3) Matrizen: Darstellung und diskretisierten Gleichungen dienen als Grundoperationen Motivation zur Diskussion von Methoden Eigenwerte für endlichdimensionale lineare und Lineare Gleichungssysteme nichtlineare Gleichungen, die anschließend Ausgleichsrechnung als eigenständige Themen behandelt 4) Multivariate Polynome werden. Auf diese Weise wird versucht, nicht 5) Funktionen von Rm nach Rn: nur ein einführendes sondern auch ein in Differenzieren sich abgeschlossenes Bild der Numerischen Nichtlineare Gleichungssysteme Mathematik, zumindest in einem zentralen Nichtlineare Ausgleichsrechnung Aufgabenbereich, zu vermitteln. 2008. Etwa 150 S. Brosch. EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 2007. Etwa 150 S. Brosch. ISBN 978-3-7643-8515-6 EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 ISBN 978-3-7643-8426-5

131 Titel in Deutscher Sprache


 Numerik Stochastik

Numerik Stochastik Band 2: Instationäre Probleme Band 1: Eine Einführung Zulehner, W., Universität Linz, Austria Kersting, G. / Wakolbinger, A., both Universität Frankfurt, Germany Erscheint zum Sommersemester 2008 Erscheint zum Sommersemester 2008 Aus dem Inhalt: Anfangsrandwertprobleme parabolischer In der modernen Stochastik werden Differentialgleichungen Wahrscheinlichkeiten immer im Semidiskretisierung Zusammenhang mit Zufallsvariablen Runge-Kutta-Verfahren für gedacht. Damit macht dieses Lehrbuch Anfangswertprobleme Ernst, schon die Welt uniform verteilter Anfangsrandwertprobleme hyperbolischer Zufallsgrößen wird dann farbig und Differentialgleichungen reichhaltig. Runge-Kutta-Verfahren für Das Konzept der Zufallsgrößen prägt den Differentialgleichungen 2. Ordnung Aufbau des auf zwei Bände ausgelegten Partitionierte Runge-Kutta-Verfahren Textes. Der erste Band stellt diskrete 2008. Etwa 150 S. Brosch. Zufallsvariable in den Vordergrund, bis EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 ISBN 978-3-7643-8428-9 zu zufälligen Pfaden und den Anfängen der Markovketten. Kontinuierliche Zufallsvariable mit ihren Dichten werden in wichtigen Beispielen diskutiert. Je ein Kapitel ist Ideen der Statistik und der Informationstheorie gewidmet. Der zweite Band vertieft zentrale Themen in allgemeinerem Rahmen. Damit liefert das Buch Orientierung und Material für verschiedene Varianten einführender Lehrveranstaltungen, 2-stündig, oder in Verbindung mit Band 2 auch 4-stündig.

2008. Etwa 150 S. Brosch. EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 ISBN 978-3-7643-8430-2

132

 Stochastik

3. Aufl.

Stochastik Analysis I Band 2: Die Mathematik der Amann, H., Universität Zürich / Escher, J., Zufallsgrößen Universität Hannover Kersting, G. / Wakolbinger, A., beide Universität Frankfurt, Germany GM – Grundstudium Mathematik

Erscheint zum Sommersemester 2008 Dieses Lehrbuch ist der erste Band einer dreiteiligen Einführung in die Analysis. Dies ist der zweite Band in dem zentrale Es ist durch einen modernen und klaren Themen in allgemeinerem Rahmen vertieft Aufbau geprägt, der versucht den Blick werden. Damit liefert das Buch Orientierung auf das Wesentliche zu richten. Anders als und Material für verschiedene Varianten in den üblichen Lehrbüchern wird keine einführender Lehrveranstaltungen. In künstliche Trennung zwischen der Theorie Verbindung mit diesem Band 2 ist dies gut einer Variablen und derjenigen mehrerer auch für 4-stündige Vorlesungen geeignet. Veränderlicher vorgenommen. Der Leser soll

2008. Etwa 150 p. Brosch. in dem Erkennen der wesentlichen Inhalte EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 und Ideen der Analysis geschult werden und ISBN 978-3-7643-8432-6 sich ein solides Fundament für das Studium tieferliegender Theorien erwerben. Das Werk richtet sich an Hörer und Dozenten der Anfängervorlesung der Analysis. Durch zahlreiche Beispiele, Übungsaufgaben und Ergänzungen zum üblichen Vorlesungsstoff ist der Text ausserdem zum Selbststudium, als Vorlage für vertiefende Seminare und als Grundlage für das gesamte Mathematik- bzw. Physikstudium geeignet.

2006. XV, 445 p. Brosch. EUR (D) 29.95 / EUR (A) 30.79 / CHF 45.– ISBN 978-3-7643-7755-7

133 Titel in Deutscher Sprache




2., korr. Aufl.

Analysis II Analysis III Amann, H., Universität Zürich / Escher, J., Amann, H., Universität Zürich / Escher, J., Universität Hannover Universität Hannover

GM – Grundstudium Mathematik Der dritte und letzte Band dieser Reihe ist der Integrationstheorie und Der zweite Band dieser Einführung in die den Grundlagen der globalen Analysis Analysis behandelt die Integrationstheorie gewidmet. Es wird wiederum viel Wert von Funktionen einer Variablen, die auf einen modernen und klaren Aufbau mehrdimensionale Differentialrechnung und gelegt, der nicht nur eine wohlstrukturierte die Theorie der Kurven und Kurvenintegrale. schöne Theorie liefert, sondern dem Der im ersten Band begonnene moderne Leser auch schlagkräftige Werkzeuge und klare Aufbau wird konsequent für seine weitere Beschäftigung mit der fortgesetzt. Dadurch wird ein tragfähiges Mathematik in die Hand gibt. Aus diesem Fundament geschaffen, das es erlaubt, Grund wird beispielsweise konsequent interessante Anwendungen zu behandeln, das Bochner-Lebesguesche Integral die zum Teil weit über den in der üblichen entwickelt, welches ein unverzichtbares Lehrbuchliteratur behandelten Stoff Hilfsmittel für die moderne Theorie der hinausgehen. partiellen Differentialgleichungen darstellt. Ebenso wird eine Version des Stokesschen Zahlreiche Übungsaufgaben von Satzes bewiesen, welche den praktischen unterschiedlichem Schwierigkeitsgrad und Bedürfnissen der Mathematik und viele informative Abbildungen runden dieses theoretischen Physik weitgehend Rechnung Lehrbuch ab. trägt. 2006. XII, 415 S. Brosch. EUR (D) 28.– / EUR (A) 28.79 / CHF 42.– Wie bereits in den früheren Bänden, ISBN 978-3-7643-7105-0 werden auch hier zahlreiche Ausblicke auf weiterführende Theorien gegeben, die dem Leser einen Eindruck von der Bedeutung und der Stärke der entwickelten Theorien vermitteln sollen. Daneben dienen diese Abschnitte dazu, den bereitgestellten Stoff weiter einzuüben und zu vertiefen. Zahlreiche Beispiele, konkrete Rechnungen, eine Vielzahl von Übungsaufgaben und viele Abbildungen machen dieses Lehrbuch zu einem verlässlichen Begleiter durch das gesamte Studium.

2007. Brosch. 134 EUR (D) 29.90 / CHF 42.– / ISBN 978-3-7643-6613-1 Erhabene Welten

Eine kleine Nachtphysik Erhabene Welten Geschichten aus der Physik Das Leben Rolf Nevanlinnas Rößler, W., Linz, Österreich Lehto, O., Helsinki University of Technology, Finland Die Physik besitzt eine eigene Geschichte. Eine Geschichte, die geprägt ist von Erfolg VM – Vita Mathematica, Vol. 14 und Scheitern, Hoffnung und zerschlagenen Träumen, Missgunst und Neid, Großzügigkeit Erscheint im Frühling 2008 und Charakterstärke, schöpferischem Denken und einfacher Menschlichkeit. Rolf Herman Nevanlinna (1895-1980) war eine aussergewöhnliche und charismatische Der Autor erzählt in allgemein verständlicher Persönlichkeit: Ein brillianter Mathematiker Sprache von großen Ideen der Physik und und umstrittener Politiker mit enormem insbesondere von den Menschen, die sie Charme. Der Autor des Buches kannte schufen. Der Bogen ist dabei weit gespannt. Nevanlinna seid mehr als 30 Jahren Von Newton und Galilei zu Einstein, und so gelang ihm eine ausgewogene Feynman, Fermi und Bohr. Von Faraday und Charakterisierung des wissenschaftlichen Maxwell zu Schrödinger, Dirac, Heisenberg wie politischen Nevanlinna. und Pauli. Von den ersten Anfängen der Wissenschaft in der Antike zu den Fragen 2008. Ca. 330 p. Geb. Ca. EUR 68.– / ISBN 978-3-7643-7701-4 nach dem Wesen von Raum und Zeit und der Natur von Licht und Wärme. Von der Entdeckung des Atoms zur Formulierung der Quantenmechanik. Von Beobachtungen des Sternenhimmels zu grundlegenden Entdeckungen und Gedanken der modernen Astronomie und Kosmologie. Die Ideen mögen mitunter abstrakt sein, aber die Physik selbst, als eine ganz eigene Art, die Welt zu sehen, ist voller Leben - und Menschlichkeit. Davon erzählt dieses Buch.

2007. 288 p. Geb. EUR (D) 19.90 / EUR (A) 20.46 / CHF 29.90 ISBN 978-3-7643-7743-4

135 Titel in Deutscher Sprache



Euler Tercentenary 2007

Grundkurs Mathematik in den Leonhard Euler Biowissenschaften Ein Mann, mit dem man rechnen kann Braunß, H.-A. / Junek, H. / Krainer, T., alle Heyne, A.K. / Heyne, A.K. (Text) / Pini, E. Universität Potsdam (Zeichnungen)

Das vorliegende Lehrbuch wendet In seinem Kopf stellte er die sich speziell an Studierende mathematische Welt auf den Kopf. Er biowissenschaftlicher Fachrichtungen berechnete Flüssigkeitsströmungen, und trägt den Anforderungen der neuen das Trägheitsmoment, entwickelte die Bachelor-Studienabschlüsse Rechnung. Es Variationsrechnung und die moderne eignet sich sowohl als Referenz als auch Zahlentheorie. Als Wissenschaftler steht er als Begleitbuch für einen 1-2 semestrigen auf einer Stufe mit Newton und Einstein. Kurs. Im Zentrum stehen Funktionen Konstrukteure in aller Welt arbeiten in einer reellen Variablen und ihre tagtäglich mit seinen Formeln – egal ob Anwendungen in den Biowissenschaften, es um den Schiffsrumpf der "Alinghi" geht insbesondere Fourieranalyse und oder um die Schwingungen des "Viaduc de Differentialgleichungsmodelle. Eine Vielzahl Millau", der Welt höchster Autobahnbrücke. von Aufgaben dient der Vertiefung und Dabei war er ein Mensch, der bürgerliche aktiven Aneignung des Stoffes. Behaglichkeit und Ruhe liebte. Nicht ganz einfach zur Gründungszeit von St. 2007. 206 S. 63 Abb. Brosch. EUR (D) 22.– / EUR (A) 22.62 / CHF 33.– Petersburg inmitten russischer Kaisermorde ISBN 978-3-7643-7709-0 oder im Berlin zur Zeit der schlesischen Kriege. Und erst recht nicht inmitten einer grossen Kinderschar. Der Comic von Elena Pini (Graphik) und Alice und Andreas K. Heyne (Text) zeichnet das Leben des genialen Baslers nach, der vor 300 Jahren geboren wurde, mit zwanzig Jahren seine Heimatstadt verliess – und nie wieder zurückkehrte.

2007. 45 S. Farbig ill. Geb. EUR (D) 19.90 / EUR (A) 20.46 / CHF 28.– ISBN 978-3-7643-7779-3

136 Berechenbares Chaos in von einem Kenner der modernen Physik dynamischen Systemen
 verfasst worden ist, der seine Kenntnisse in den Dienst an den Leser stellt. Vor dem Leser Stoop, R. / Steeb, W.–H. wir ein farbenprächtiges Gemälde entfaltet, das die Einheit und Schönheit der Physik "The monograph gives the profound betont und dieser Wissenschaft sicherlich presentation in scientific computing neue Freunde gewinnen wird. Ich denke, methods for the theory of chaotic dynamic dass auch Studenten der Physik von diesem systems…. [It] contains about 180 examples Büchlein profitieren werden, weil es ihren and exercises on various objects of Blick für die Physik als Ganzes schärft." chaotic dynamical systems, description of Physik Journal computational programs." Zentralblatt MATH 2005. 96 S. Brosch. EUR (D) 24.95 / EUR (A) 25.65 / CHF 39.– 2006. XII, 264 S. Brosch. ISBN 978-3-7643-7235-4 EUR (D) 29.90 / EUR (A) 30.73 / CHF 45.– ISBN 978-3-7643-7550-8 Einführung in die
 Bernhard Riemann 1826-1866 mathematische Behandlung Wendepunkte in der Auffassung der der Naturwissenschaften 2 Mathematik Storrer, H. H. Laugwitz, D. BS – Birkhäuser Skripten, Vol. 8

VM – Vita Mathematica, Vol. 10 $Xà.RUU1DFKGUXFN 1995. 369 S. Brosch. 1996. 343 S. 39 Abb. Geb. EUR (D) 29.90 / EUR (A) 30.73 / CHF 46.90 EUR (D) 58.– / EUR (A) 59.63 / CHF 88.– ISBN 978-3-7643-5325-4 ISBN 978-3-7643-5189-2 Elementare Zahlentheorie Der jugendliche Einstein und
 Remmert, R. / Ullrich, P. Aarau 2. Aufl. Einsteins letztes Schuljahr – Relativität, Brownsche Bewegung, GM – Grundstudium Mathematik

Lichtquanten und Astrophysik 1995. 276 S. Brosch. Hunziker, H. (Hrsg.) EUR (D) 24.50 / EUR (A) 25.19 / CHF 38.– ISBN 978-3-7643-5197-7 "Wer sich darauf einlässt, wird schwitzen, aber auch an Einblick gewinnen." Elemente der Musikinformatik Aargauer Zeitung Mazzola, G.
 2005. IX, 205 S. Brosch. EUR (D) 24.– / EUR (A) 24.67 / CHF 35.– "Kaum jemand wäre prädestinierter ISBN 978-3-7643-7444-0 als G. Mazzola, um kompetent in diese Thematik einzuführen. Da das Buch auf Die Gleichungen der Physik seinen Vorlesungen basiert, die sich in
 Meilensteine des Wissens der Kommunikation mit Studierenden bewähren mussten, ist auch ein hoher Bais, S. Verständlichkeitsgrad gewährleistet." Bernd Enders, Universität Osnabrück "Der Autor beschränkt sich bewusst darauf, allgemeine Zusammenhänge verbal zu 2006. X, 245 S. 168 Abb. Brosch. erläutern, was ihm sehr gut gelungen ist. EUR (D) 29.90 / EUR (A) 30.73 / CHF 48.– ISBN 978-3-7643-7745-8 Man hat immer den Eindruck, dass der Text 137 Titel in Deutscher Sprache

Funktionentheorie in der Optimierung, Operations

 Ebene und im Raum Research, Spieltheorie Gürlebeck, K. / Habetha, K. / Sprössig, W. Mathematische Grundlagen Borgwardt, K. H. GM – Grundstudium Mathematik 2001. 642 S. Brosch. 2006. XIII, 406 S. Mit CD-ROM. Brosch. EUR (D) 47.50 / EUR (A) 48.83 / CHF 68.– EUR (D) 28.– / EUR (A) 28.79 / CHF 44.– ISBN 978-3-7643-6519-6 ISBN 978-3-7643-7369-6 Traumjob Mathematik! Graßmann Berufswege von Frauen und Männern in Petsche, H.–J. der Mathematik Abele, A. E. / Neunzert, H. / Tobies, R. VM – Vita Mathematica, Vol. 13 "Nicht alle Schüler lieben den "Mathematische Allgememeinbildung ist Mathematikunterricht. Doch auch jene, weitgehend ausreichend für das Verständnis die durchaus von diesem Fach begeistert des sehr gehaltvollen und empfehlenserten sind, scheuen in den meisten Fällen ein Textes." entsprechendes Hochschulstudium. … Doch ekz-Bibliotheksservice / Informationsdienst eine interdisziplinäre Studie belegt: es lohnt 2006. XXII, 326 p. 47 Abb. Geb. sich, Mathematik zu studieren. …Dieses EUR (D) 58.– / EUR (A) 59.63 / CHF 88.– Buch stellt Ergebnisse der Studie vor und ISBN 978-3-7643-7257-6 zeichnet interessante Biographien von Mathematiker(inne)n nach. Schüler(innen), Mathematica – Kurz und bündig die gut in Mathematik sind, sollten dieses Kaufmann, S. Buch unbedingt lesen – und vielleicht auch deren Eltern." Die Welt 1998. 200 S. Brosch. EUR (D) 30.20 / EUR (A) 31.04 / CHF 44.– 2004. IX, 192 S. Brosch. ISBN 978-3-7643-6008-5 EUR (D) 28.– / EUR (A) 28.79 / CHF 44.– ISBN 978-3-7643-6749-7 Mathematik entdecken mit DERIVE – von der Algebra bis zur Differentialrechnung Glynn, J.

1995. X, 154 S. Brosch. EUR (D) 23.– / EUR (A) 23.65 / CHF 36.– ISBN 978-3-7643-5001-7

Matrizen, Geometrie,
 Lineare Algebra Gabriel, P.

BAT – Birkhäuser Advanced Texts

1996. XII, 634 S. Geb. EUR (D) 42.– / EUR (A) 43.18 / CHF 64.– ISBN 978-3-7643-5376-6

138 Series Index

Series in Pure and Applied Mathematics ACM Advanced Courses in Mathematics AMFM Advances in Mathematical Fluid Mechanics AISDG Annals of the International Society of Dynamic Games ANHA Applied and Numerical Harmonic Analysis APDE Advances in Partial Differential Equations BAT Birkhäuser Advanced Texts CE Control Engineering COR Cornerstones FM Frontiers in Mathematics GM Grundstudium Mathematik ISNM International Series of Numerical Mathematics LM Lectures in Mathematics LOLS Linear Operators and Linear Systems Mathematik Kompakt MBC Modern Birkhäuser Classics MMA Monographs in Mathematics MMN Monografie Matematyczne MSSET Modeling and Simulation in Science, Engineering and Technology MTA Mathematics: Theory and Applications OWS Oberwolfach Seminars OT Operator Theory: Advances and Applications PA Probability and its Applications PCS Progress in Computer Science and Applied Logic PM Progress in Mathematics PMP Progress in Mathematical Physics PNLDE Progress in Nonlinear Differential Equations and Their Applications PP Progress in Probability SIT Statistics for Industry and Technolgy SC Systems and Control: Foundations and Applications TM Trends in Mathematics

Series in History of Science CM Contemporary Mathematicians The Collected Scientific Papers of the Bernoulli Family ES Einstein Studies Leonhard Euler: Opera Omnia SNHS Science Networks • Historical Studies VM Vita Mathematica

139 Series in Pure and Applied Mathematics

Edizioni della Normale New Birkhäuser has taken over the Series international distribution of the English-language scientific titles of the Edizioni della Normale. The Edizioni della Normale are published by the Scuola Normale Superiore (SNS), the internationally renowned study and research centre in Pisa, Italy.

See also www.birkhauser.ch/sns

Series in Edizioni della Normale

Colloquia Monographs The volumes of this series reflect lectures held at the “Colloquio Selections De Giorgi” which regularly takes The volumes of this series place at the Scuola Normale arise from conferences and Superiore in Pisa. The Colloquia symposiums and focuse on address a general mathematical a particular topic of current audience, particularly attracting research in mathematics or advanced undergraduate and physics. graduate students. Theses CRM Series This series gathers a selection The Ennio De Giorgi Mathematical of outstanding Ph.D. theses Research Center in Pisa, Italy, was defended at the Scuola Normale established in 2001 and organizes Superiore since 1992. research periods focusing on specific fields of current interest, including pure mathematics as well as applications in the natural and social sciences like physics, biology, finance and economics. The CRM series publishes volumes originating from these research periods, thus advancing particular areas of mathematics and their application to problems in the industrial and technological arena.

Lecture Notes This series publishes polished notes dealing with topics of current research and originating from lectures and seminars held at the Scuola Normale Superiore 140 in Pisa. Advanced Courses in Mathematics - CRM Barcelona Series Editor: Manuel Castellet Universitat Autònoma de Barcelona, Spain

Since 1995 the Centre de Recerca Matemàtica (CRM) in Barcelona has conducted a number of annual Summer Schools at the post-doctoral or advanced graduate level. Sponsored mainly by the European Community, these Advanced Courses have usually been held at the CRM in Bellaterra. The books in this series consist essentially of the expanded and embellished material presented by the authors in their lectures.

Advances in Mathematical Advances in Mathematical Fluid Mechanics Fluid Mechanics is a forum for Series Editors: the publication of high quality Giovanni P. Galdi monographs, or collections of University of Pittsburgh, works, on the mathematical Pittsburgh, USA theory of fluid mechanics, with special regards to the John G. Heywood Navier-Stokes equations. University of British Columbia, Its mathematical aims and Vancouver, Canada scope are similar to those of Rolf Rannacher the Journal of Mathematial University of Heidelberg, Fluid Mechanics. In particular, Heidelberg, Germany mathematical aspects of computational methods and of applications to science and engineering are welcome as an important part of the theory. So also are works in related areas of mathematics that have a direct bearing on fluid mechanics.

141 Series in Pure and Applied Mathematics

Advances in Partial Differential The subseries Advances in Partial Equations Differential Equations is intended A subseries of: Operator Theory: to report on recent developments Advances and Applications in all areas of partial differential equations, in particular, on those Subseries Editors: belonging to the tradition defined by the series Operator Theory: Bert-Wolfgang Schulze Advances and Applications and University of Potsdam, Potsdam, new areas. The Advances volumes Germany will consist primarily of expository Sergio Albeverio research articles, presenting University of Bonn, Bonn, both an overview of the state of Germany a field and new results, in such Michael Demuth areas as microlocal analysis and TU Clausthal, Clausthal- its applications to asymptotic Zellerfeld, Germany phenomena, mathematical Jerome A. Goldstein physics, spectral theory, as University of Memphis, Memphis, well as symplectic geometry, USA the analysis of singularities of solutions, and geometric analysis. Nobuyuki Tose Selected articles of this kind Keio University, Yokohama, Japan may also appear as a separate monographic volume. A certain number of short communications will also be published.

Annals of the International current activities and results Society of Dynamic Games in this area; and to enhance the visibility of dynamic games Series Editor: research and its vast potential applications. Tamar Baúar University of Illinois, Urbana, USA

Annals of the International Society of Dynamic Games is a publication, which consists of refereed papers representing the latest developments concerning the theory and applications of dynamic games. This is an outgrowth of the activities of The International Society of Dynamic Games (ISDG), which was founded in 1990. The primary goals of ISDG are to promote interactions among researchers interested in the theory and applications of dynamic games; to facilitate dissemination of information on 142 that has flourished, evolved, Applied and Numerical and deepened with continued Harmonic Analysis research and exploration. The intricate and fundamental relationship between Series Editor: harmonic analysis and general John J. Benedetto disciplines such as signal University of Maryland, College processing, partial differential Park, USA equations, and image processing is reflected in the Applied and Numerical ANHA series. Harmonic Analysis (ANHA) This series provides a means publishes works in harmonic of disseminating important, analysis as well as in current information along engineering and scientific with computational tools for subjects having a significant harmonic analysis. harmonic analysis component. The interface among applied mathematics, science, and engineering is the theme of all books in the series. Harmonic analysis is a wellspring of ideas and applicability in mathematics, engineering, and the sciences

Birkhäuser Advanced Texts This series presents, at an advanced level, introductions Series Editors: to some of the fields of current interest in mathematics. Herbert Amann Starting with basic concepts, University of Zürich, Zürich, fundamental results and Switzerland techniques are covered, and Steven G. Krantz important applications and Washington University, new developments discussed. St. Louis, USA The textbooks are suitable as Shrawan Kumar an introduction for students University of North Carolina at and non–specialists, and Chapel Hill, Chapel Hill, USA they can also be used as Jan NekováĜ background material for University Pierre et Marie Curie advanced courses and (Paris VI), Paris, France seminars.

143 Series in Pure and Applied Mathematics

Control Engineering Problems and examples use the least amount of abstraction Series Editor: required, remaining committed William S. Levine to issues of consequence, such University of Maryland, College as cost, tradeoffs, reliability, and Park, USA power consumption.

The Birkhäuser Series Systems and Control: Foundations & Applications examines the abstract and theoretical mathematical aspects of control. Control Engineering complements this effort through a study of the industrial and applied implementation of control – from techniques for analysis and design to hardware implementation, test, and evaluation. While recognizing the harmony between abstract theory and physical application, these publications emphasize real-world results and concerns.

Cornerstones to the second-year graduate level, books that appear in this Series Editors: series are intended to serve Charles L. Epstein as the definitive advanced University of Pennsylvania, texts for the next generation of Philadelphia, USA mathematicians. By enlisting only expert mathematicians Steven G. Krantz and leading researchers in Washington University, St. Louis, each field who are top-notch USA expositors with established track records, Cornerstones Editorial Advisory Board volumes are models of clarity Anthony W. Knapp that provide authoritative modern State University of New York at treatments of the essential Stony Brook, Professor Emeritus, subjects of pure and applied Stony Brook, USA mathematics while capturing the beauty and excitement of Cornerstones comprises mathematics for the reader. The textbooks that focus on what Series Editors themselves are students need to know and what accomplished researchers with faculty should teach regarding considerable writing experience, various selected topics in pure and seek to infuse each text with and applied mathematics and excellence and purpose through a related subjects. Aimed at collaborative, yet highly rigorous aspiring young mathematicians selection and reviewing protocol. 144 at the advanced undergraduate Frontiers in Mathematics This series is designed to be Advisory Board a repository for up-to-date Luigi Ambrosio research results which have Scuola Normale Superiore, been prepared for a wider Pisa, Italy audience. Graduates and postgraduates as well as Leonid A. Bunimovich scientists will benefit from Georgia Institute of Technology, the latest developments Atlanta, USA at the research frontiers Benoît Perthame in mathematics and at Ecole Normale Supérieure, the «frontiers» between Paris, France mathematics and other fields Gennady Samorodnitsky like computer science, physics, Cornell University, Rodes Hall, biology, economics, finance, etc. USA All volumes are online available Igor Shparlinski at SpringerLink. Macquarie University, Sydney, Australia Wolfgang Sprössig TU Bergakademie Freiberg, Freiberg, Germany

International Series of solution methods, bifurcation Numerical Mathematics problems and approximation theory. When possible, the topic Managing Editors: of each volume is discussed Karl-Heinz Hoffmann from three different angles, Technische Universität namely those of mathematical München, Germany modeling, mathematical analysis, and numerical case Hans D. Mittelmann studies. Arizona State University, Tempe, USA

International Series of Numerical Mathematics is open to all aspects of numerical mathematics. Some of the topics of particular interest include free boundary value problems for differential equations, phase transitions, problems of optimal control and optimization, other nonlinear phenomena in analysis, nonlinear partial differential equations, efficient 145 Series in Pure and Applied Mathematics

Lectures in Mathematics – ETH Zürich

Each year the Eidgenössische Technische Hochschule (ETH) at Zürich invites a selected group of mathematicians to give postgraduate seminars in various areas of pure and applied mathematics. These seminars are directed to an audience of many levels and backgrounds. Now some of the most successful lectures are being published for a wider audience through the Lectures in Mathematics, ETH Zürich series. Lively and informal in style, moderate in size and price, these books will appeal to professionals and students alike, bringing a quick understanding of some important areas of current research.

Linear Operators and Linear The subseries Linear Operators Systems and Linear Systems (LOLS) is A subseries of: Operator Theory: dedicated to these connections Advances and Applications between the theory of linear operators and the mathematical Subseries Editors: theory of linear systems. LOLS will continue in the tradition of the Daniel Alpay series Operator Theory: Advances Ben Gurion University of the and Applications and maintain Negev, Beer-Sheeva, Israel the high quality of the volumes. Joseph A. Ball Books published in LOLS will be Virginia Tech, Blacksburg, USA either monographs or consist of André C. M. Ran essays presenting the state of the Vrije University of Amsterdam, art and new results. Amsterdam, The Netherlands The volumes will be addressed to a wide range of mathematicians The theory of linear operators has from beginners to experts in had an important influence on these fields. the development of mathematical systems theory. On the other hand, mathematical systems theory serves as a direct source of motivation and new techniques for the theory of linear 146 operators and its applications. Mathematics: Theory & complete in their coverage and Applications bibliographies and to stand as definitive reports on the state- Series Editor: of-the-art for many years to Nolan Wallach come. University of California, San Diego, USA

Mathematics: Theory and Applications is a series of advanced level monographs and graduate textbooks that are designed to be of lasting value in the archival literature and to professional mathematicians and graduate students as comprehensive treatments of the subjects they cover. The series is open to all areas of pure and applied mathematics. The books are expected to be

Modeling and Simulation in framework is that of applied Science, Engineering and and industrial mathematics. Technology The series aim is to provide general science and engineering Series Editor: readerships with the essential Nicola Bellomo (and practical) methodological Politecnico di Torino, Torino, information on modeling Italy methods while developing guidelines to formulate and The MSSET series publishes solve technical problems. advanced textbooks, expository monographs, problem-solving guides, handbooks, and general references. Books examine and utilize the modeling and simulation of systems in applied sciences, mathematics, and engineering. The goal is to create a bridge between applied mathematicians, scientists, and research engineers utilizing modeling methods, tools, and techniques for complex problem solving. The general 147 Series in Pure and Applied Mathematics

Modern Birkhäuser Classics Many of the original research and survey monographs in pure and applied mathematics published by Birkhäuser in recent decades have been groundbreaking and have come to be regarded as foundational to the subject. Through the MBC Series, a select number of these modern classics, entirely uncorrected, are being re-released in paperback (and as eBooks) to ensure that these treasures remain accessible to new generations of students, scholars, and researchers.

Monografie Matematyczne Gilles Pisier, Université Paris 6, France Founded by: Banach, S., Knaster, Piotr Pragacz, Institute of B., Kuratowski, K., Mazurkiewicz, Mathematics, Polish Academy of S., Sierpinski, W., Steinhaus, H. Sciences Grzegorz S´wiaÛtek, Pennsylvania Originally published by Polish State University, USA Scientific Publishers, Warsaw Jerzy Zabczyk, Institute of Mathematics, Polish Academy of Managing Editor Sciences Przemyslaw Wojtaszczyk, IMPAN and Warsaw University, Poland Starting in the 1930s with volumes written by such Editorial Board distinguished mathematicians Jean Bourgain, IAS, Princeton, as Banach, Saks, Kuratowski, USA and Sierpinski, the original series Tadeusz Iwaniec, Syracuse grew to comprise 62 excellent University, USA monographs up to the 1980s. In Tom Körner, Cambridge, UK cooperation with the Institute Krystyna Kuperberg, Auburn of Mathematics of the Polish University, USA Academy of Sciences (IMPAN), Tomasz Luczak, Poznan Birkhäuser now resumes this University, Poland tradition to publish high quality Ludomir Newelski, Wrocñaw research monographs in all areas University, Poland 148 of pure and applied mathematics. Monographs in Mathematics only monographs of excellent quality are published in this Managing Editors collection. Comprehensive, Amann, H., Universität Zürich, in-depth treatments of areas of Switzerland current interest are presented Bourguignon, J.-P., IHES, to a readership ranging Bures-sur-Yvette, France from graduate students to Grove, K., University of professional mathematicians. Maryland, College Park, USA Concrete examples and Lions, P.-L., Université de Paris- applications both within and Dauphine, France beyond the immediate domain of mathematics illustrate the The foundations of this import and consequences of outstanding book series the theory under discussion. were laid in 1944. Until the end of the 1970s, a total of 77 volumes appeared, including works of such distinguished mathematicians as Carathéodory, Nevanlinna and Shafarevich, to name a few. The series came to its name and present appearance in the 1980s. In keeping its well-established tradition,

Oberwolfach Seminars Originally published as «Seminare der Deutschen Mathematiker-Vereinigung»

The workshops organized by the Mathematisches Forschungsinstitut Oberwolfach are intended to introduce students and young mathematicians to current fields of research. By means of these well-organized seminars, also scientists from other fields will be introduced to new mathematical ideas. The publication of these workshops in the series Oberwolfach Seminars (formerly DMV seminar) makes the material available to an even larger audience. 149 Series in Pure and Applied Mathematics

Operator Theory: Advances and Applications

Series Editor: Israel Gohberg, School of Mathematical Sciences, Tel Aviv University, Israel

This series is devoted to the publication of current research in operator theory, with particular emphasis on applications to classical analysis and the theory of integral equations, as well as to numerical analysis, mathematical physics and mathematical methods in electrical engineering.

Probability and its Applications

Series Editors: Newman, C., New York University, USA Resnick, S. I., Cornell University, Ithaka, USA

Probability and its Applications publishes research-level monographs and advanced graduate texts dealing with all aspects of probability theory and stochastic processes, as well as their connections with and applications to other areas such as mathematical statistics and statistical physics.

150 Progress in Mathematical D. Sternheimer, Université de Physics Bourgogne, Dijon, France C. Tracy, University of California, Editors-in-chief Davis, U.S.A. A. Boutet de Monvel, Université Paris VII Denis Diderot, France Progress in Mathematical G. Kaiser, The Center for Physics is a book series Signals and Waves, Austin, TX, encompassing all areas of U.S.A. theoretical and mathematical physics. It is intended for Editorial Board mathematicians, physicists, C. Berenstein, University of and other scientists, as well Maryland, College Park, U.S.A. as graduate students in the Sir M. Berry, University of above related areas. This Bristol, U.K. distinguished collection of P. Blanchard, books includes authored Universität Bielefeld, monographs and textbooks, the Germany latter primarily at the senior M. Eastwood, The University of undergraduate and graduate Adelaide, Australia levels. Edited collections of A.S. Fokas, Imperial College articles on important research of Science, Technology, and developments or expositions of Medicine, London, U.K. particular subject areas may also be included.

Progress in Mathematics is designed as a vehicle for reporting ongoing research as Series Editors: well as expositions of particular Hyman Bass, University of subject areas. Michigan, USA Joseph Oesterlé, Institut Henri Poincaré, Université Paris VI, France Alan Weinstein, University of California, Berkeley, USA

Progress in Mathematics is a series of books intended for professional mathematicians and scientists, encompassing all areas of pure mathematics. This distinguished series, which began in 1979, includes research level monographs, polished notes arising from seminars or lecture series, graduate level textbooks, and proceedings of focused and refereed conferences. It 151 Series in Pure and Applied Mathematics

Progress in Nonlinear stimulating a fruitful interaction Differential Equations and Their between the two sides. It will Applications publish monographs, polished notes arising from lectures and Series Editor: seminars, graduate level texts, Brezis, H., Université de Paris, and proceedings of focused and France, and Rutgers University, refereed conferences. USA

Progress in Nonlinear Differential Equations and Their Applications is a book series that lies at the interface of pure and applied mathematics. Many differential equations are motivated by problems arising in diversified fields such as mechanics, physics, differential geometry, engineering, control theory, biology and economics. This series is open to both the theoretical and applied aspects, hopefully

Progress in Probability

Series Editors: Newman, C., New York University, USA Resnick, S. I., Cornell University, Ithaka, USA

Progress in Probability is designed for the publication of workshops, seminars and conference proceedings on all aspects of probability theory and stochastic processes, as well as their connections with and applications to other areas such as mathematical statistics and statistical physics.

152 Statistics for Industry and Technology

Series Editor: Balakrishnan, N., McMaster University, Hamilton, Canada

Publications in the series will contain statistical information that is accessible to an interdisciplinary audience: carefully organized authoritative presentations, numerous illustrative examples based on current practice, reliable methods, realistic data sets, and discussions of select new emerging methods and their application potential.

Studies in Universal Logic of logic. Three types of books will appear in the series: Series Editor: graduate textbooks, research Jean-Yves Beziau monographs, and volumes with contributed papers. This series is devoted to the universal approach to logic and the development of a general theory of logics. It covers topics such as global set-ups for fundamental theorems of logic and frameworks for the study of logics, in particular logical matrices, Kripke structures, combination of logics, categorical logic, abstract proof theory, consequence operators, and algebraic logic. It includes also books with historical and philosophical discussions about the nature and scope

153 Series in Pure and Applied Mathematics

Systems & Control: Foundations communication networks), to & Applications biotechnology (particularly mathematical biology) and Series Editor: economics. Tamer Baúar, University of Illinois, The Birkhäuser Series Urbana-Champaign, IL, USA Control Engineering examines the industrial and applied Systems and Control: Foundations implementation of control. and Applications aims to Systems and Control publish top quality state-of- complements this effort through the-art textbooks and research a study of the abstract and monographs at the graduate and theoretical mathematical aspects post-graduate levels in systems, of control. The series attempts control, and related fields. Books to find the latest innovations in in the series take care to explain theory and analysis; innovations and build upon the essential that are often the backbone for foundational elements of the real-world applications. field. Additionally, established and emerging applications are developed and utilized in an effort to demonstrate the most recent advances in systems and control. The study spans the gamut of areas from information technology (particularly

Trends in Mathematics

Trends in Mathematics is a series devoted to the publications of volumes arising from conferences and lecture series focusing on a particular topic from any area of mathematics. Its aim is to make current developments available to the community as rapidly as possible without compromise to quality and to archive these for reference.

154 Series in History of Science

Contemporary generations of mathematicians Mathematicians will find these collected works to be of lasting significance. Series Editor: Joseph P. Kung, University of North Texas, Denton, USA

Publishing the collected works of outstanding mathematicians remains a vital tradition in scientific publishing. Very often the works of a mathematician are in a scattered state, published in diffuse forms, and inaccessible. The bringing together of these works and papers into organized, annotated volumes creates a unique opportunity for historical, biographical, and mathematical perspectives to emerge. Present and future

Einstein Studies as social, cultural, and political history. Original research Published under the in physics, mathematics, sponsorship of the Center and philosophy will also be for Einstein Studies, Boston published in cases where University, USA such research explores the implications of Einstein’s work Series Editors: for contemporary issues. Howard, D., University of Kentucky, Lexington, USA, Center for Einstein Studies, Boston University, USA Stachel, J., Center for Einstein Studies, Boston University, USA

Einstein Studies is a multidisciplinary series, reflecting the wide variety of Einstein’s own contributions to our century. The series emphasizes the history of twentieth-century science, but will also welcome works in the philosophy of science, as well 155 Series in History of Science

Science Networks – Historical might be accepted in rare cases. Studies The series is aimed primarily Founded by: Hiebert, E., at historians of science and Wußing, H. libraries; it should also appeal to interested specialists, students, Series Editors: and diploma and doctoral Knobloch, E., Technische candidates. In cooperation with Universität Berlin, Germany their international editorial board, Scholz, E., Bergische Universität, the editors hope to place a unique Gesamthochschule Wuppertal, publication at the disposal of Germany science historians throughout the world. In cooperation with an international editorial board

The publications in this series are limited to the fields of mathematics, physics, astronomy, and their applications. The publication language is preferentially English. The series is primarily designed to publish monographs. Annotated sources and exceptional biographies

Vita Mathematica

Series Editor: E.A. Fellmann, Basel, Switzerland

The series Vita Mathematica traces the professional lives of many of the world’s great mathematicians – from antiquity to the present day. These books are written broadly following the same pattern and take into consideration the research carried out on the history of science in recent decades.

156 Leonhard Euler: Opera Omnia and its applications. The Opera Edited by the Euler Committee Omnia edition (Series I, II and III) of the Swiss Academy of Science is limited, for the most part, to in collaboration with numerous republication of works that Euler specialists himself prepared for press. The texts are reprinted in the original Editorial Board of Series I–III: language, most frequently French Im Hof, H.-C. (Chief Editor) / or Latin. Series IV A contains Euler‘s Steiner, Th. / Tammann, G.A. extensive scientifi c correspondence. The series IV B will contain Euler’s Editorial Board of Series IV: hitherto unpublished manuscripts, Kleinert, A. (Chief Editor) / notebooks and diaries. Bodenmann, S. / Fellmann, E.A. / Frei, G. / Series prima Mattmüller, M. / Mikhajlov, G.K. / Opera Mathematica (29 vols) Steiner, Th. Series secunda Opera Mechanica et Astronomica Euler‘s papers and books are (31 vols) fundamental to every branch of Series tertia the mathematical sciences. They Opera Physica, Miscellanea (12 vols) are clearly and beautifully written, Series quarta A well explained and illustrated Commercium Epistolicum (9 vols) by examples. The Opera Omnia Series quarta B belong in any major working library Manuscripta (planned) concerned with mathematics

The Collected Scientific Papers The Bernoulli Edition establishes of the Mathematicians and an authoritative version of the Physicists of the Bernoulli source texts, starting from either Family the original publications or the manuscripts. The commentaries General Editor: facilitate access to the historical Patricia Radelet-de Grave texts for the modern reader by providing interpretative introductions, explanatory The Bernoulli Edition occupies a notes and indexes. All texts are special position among the great printed in the original language; editions of scientific works of the commentaries are mostly the 17th and 18th centuries. It in English. Copious illustrations presents a critical, fully annotated present figures from original edition of the collected works and printings as well as samples from correspondence of a group of nine holographs. closely related authors. It includes The Bernoulli Edition is divided their scientific publications, the into two sections, one for the most important of those texts Collected Works and one for the which exist only in manuscript Correspondence. Each section is form, and an extensive selection composed of several series, each of their correspondence, for the of these being dedicated to one or, most part hitherto unpublished. in some cases, to two of the nine authors. 157 Journals

Complex Analysis and Operator Theory

First published in 2007 1 volume per year, 4 issues per volume Format: 17 x 24 cm 2008. Volume 2 ISSN 1661-8254 (print) ISSN 1661-8262 (electronic)

New

Aims and Scope Editorial Board Complex Analysis and Operator Theory Joseph Ball / Laurent Baratchart / Hari (CAOT) is devoted to the publication Bercovici / Alain Berlinet / Aad Dijksma / of current research developments in Harry Dym / Aurelian Gheondea / Israel the closely related fields of complex Gohberg / Palle Jorgensen / H.Turgay analysis and operator theory as well as in Kaptanoglu / Victor Katsnelson / Bernd applications to system theory, harmonic Kirstein / Heinz Langer / Jürgen Leiterer / analysis, probability, statistics, learning Scott McCullough / Gadadhar Misra / Mihai theory, and other related fields. Putinar / Leiba Rodman / Cora Sadosky / Articles using the theory of reproducing Saburou Saitoh / Michael Shapiro / David kernel spaces are in particular welcomed. Shoikhet / Frank Sommen / Olof Staffans / Victor Vinnikov / Dan Volok / George Weiss / Abstracted / Indexed in Ding-Xuan Zhou MathSciNet, SCOPUS, Zentralblatt Math www.birkhauser.ch/CAOT Editor-in-Chief Daniel Alpay Ben-Gurion University of the Negev Beer-Sheva Israel [email protected]

158 Journal of Fixed Point Theory and Applications

First published in 2007 2 volumes per year, 2 issues per volume Format: 17 x 24 cm 2008. Volume 3,4 ISSN 1661-7738 (print) ISSN 1661-7746 (electronic)

New

Aims and Scope - Games, Economics and Computation The Journal of Fixed Point Theory and Theory (Fon-Che Liu) Applications (JFPTA) publishes high-quality - Surveys and Research Expository Papers peer-reviewed research papers in all (Richard Palais) disciplines in which the use of tools of the - Short Communications and Open fixed point theory plays an essential role. Problems (Alberto Abbondandolo) Research topics include but are not limited to: Abstracted / Indexed in - New developments in fixed point theory as MathSciNet, SCOPUS, Zentralblatt Math well as in related topological methods - Ramifications to symplectic topology, Editor-in-Chief dynamical systems and global analysis Andrzej Granas - Significant applications in nonlinear Université de Montréal analysis, mathematical economics and Montréal (Québec), Canada computation theory - Contributions to important problems in geometry, fluid dynamics and Managing Editor / Editorial Office mathematical physics. Gilles Gauthier A limited number of expository and survey Faculté des sciences articles will also be published. Université du Québec à Montréal The journal will be organized into eight Montréal (Québec), Canada sections each coordinated by an editor [email protected] whose name appears in parentheses: - Algebraic and Geometric Topology www.birkhauser.ch/JFPTA (Michael Crabb) - Dynamical Systems ( Krystyna Kuperberg) - Symplectic Topology and Global Analysis (Octav Cornea) - Nonlinear Analysis (Norman Dancer) - Classical Topics (Simeon Reich)

159 Journals

Logica Universalis

First published in 2007 1 volume per year, 2 issues per volume Format: 17 x 24 cm 2008. Volume 2 ISSN 1661-8297 (print) ISSN 1661-8300 (online)

New

Aims and Scope Editorial Board Logica Universalis (LU) publishes peer- Musa Akrami / Arnon Avron / Diderik Batens / reviewed research papers related to Johan van Benthem / Carlos Caleiro / universal features of logics. Topics include Walter Carnielli / Leo Corry / general tools and techniques for studying Newton da Costa / Janusz Czelakowski / already existing logics and building new Michael Dunn / Hartry Field / Dov Gabbay / ones, the study of classes of logics, Valentin Goranko / Petr Hájek / the scope of validity and the domain of Huacan He / Lloyd Humberstone / application of fundamental theorems, and Gerhard Jaeger / Ramon Jansana / also philosophical and historical aspects of Marcus Kracht / Raja Natarajan / general concepts of logic. Istvan Németi / Sergei Odintsov / Francesco Paoli / Valeria de Paiva / Abstracted / Indexed in Andrei Rodin / Krister Segerberg / MathSciNet, SCOPUS, Zentralblatt Math Jürgis Skilters / Jouko Väänänen / Heinrich Wansing Editor-in-Chief Jean-Yves Béziau www.birkhauser.ch/LU Swiss National Science Foundation Switzerland [email protected]

160 Mathematics in Computer Science

First published in 2007 1 volume per year, 4 issues per volume Format: 17 x 24 cm 2008. Volume 2 ISSN 1661-8270 (print) ISSN 1661-8289 (electronic)

New

Aims and Scope Editors-in-Chief Mathematics in Computer Science publishes Dongming Wang (Managing Editor) high-quality original research papers on Zhiming Zheng the development of theories and methods School of Science for computer and information sciences, Beihang University the design, implementation, and analysis Beijing, China of algorithms and software tools for [email protected] mathematical computation and reasoning, and the integration of mathematics Editorial Board and computer science for scientific and Yaneer Bar-Yam, Cambridge, USA engineering application. Insightful survey Luis M. A. Bettencourt, Los Alamos, USA articles may be submitted for publication Jean-Charles Faugère, Paris, France by invitation. As one of its distinct features, Ilias S. Kotsireas, Waterloo, Canada the journal will publish only special issues Stefan Ratschan, Prague, Czech Republic on carefully selected topics, reflecting the Peter F. Stadler, Leipzig, Germany trends of development in the broad area Bican Xia, Beijing, China of Mathematics in Computer Science. Chee K. Yap, New York, USA Submission of proposals for special issues Kazuhiro Yokoyama, Tokyo, Japan is welcome. Riccardo Zecchina, Trieste, Italy Abstracted / Indexed in MathSciNet, SCOPUS, Zentralblatt Math www.birkhauser.ch/MACIS

161 Journals

Advances in Applied Clifford GAFA Geometric And Functional Algebras Analysis 0188-7009 (print) 1016-443X (print) 1661-4909 (electronic) 1420-8970 (electronic) www.birkhauser.ch/AACA www.birkhauser.ch/GAFA

aequationes mathematicae Journal of Evolution Equations 0001-9054 (print) 1424-3199 (print) 1420-8903 (electronic) 1424-3202 (electronic) www.birkhauser.ch/AEM www.birkhauser.ch/JEE

algebra universalis Journal of Fourier Analysis and 0002-5240 (print) Applications 1420-8911 (electronic) ISSN: 1069-5869 (print) www.birkhauser.ch/AU ISSN: 1531-5851 (electronic) www.birkhauser.ch/JFAA Annales Henri Poincaré 1424-0637 (print) Journal of Geometry 1424-0661 (electronic) 0047-2468 (print) www.birkhauser.ch/AHP 1420-8997 (electronic) www.birkhauser.ch/JG Annals of Combinatorics 0218-0006 (print) Journal of Mathematical Fluid 0219-3094 (electronic) Mechanics www.birkhauser.ch/AC 1422-6928 (print) 1422-6952 (electronic) Archiv der Mathematik www.birkhauser.ch/JMFM 0003-889X (print) 1420-8938 (electronic) Mediterranean Journal of www.birkhauser.ch/ADM Mathematics 1660-5446 (print) Circuits, Systems & Signal 1660-5454 (electronic) Processing www.birkhauser.ch/MedJM ISSN: 0278-081X (print) ISSN: 1531-5878 (electronic) Milan Journal of Mathematics www.birkhauser.ch/CSSP 1424-9286 (print) 1424-9294 (electronic) computational complexity www.birkhauser.ch/MJM 1016-3328 (print) 1420-8954 (electronic) Nexus Network Journal www.birkhauser.ch/CC Architecture and Mathematics 1590-5896 (print) 1522-4600 (electronic) www.birkhauser.ch/NJJ

162 Nonlinear Differential Equations Transformation Groups and Applications NoDEA 1083-4362 (print) 1021-9722 (print) 1531-586X (electronic) 1420-9004 (electronic) www.birkhauser.ch/TG www.birkhauser.ch/NoDEA Zeitschrift für angewandte NTM – Zeitschrift für Geschichte Mathematik und Physik der Naturwissenschaften, Technik 0044-2275 (print) und Medizin 1420 9039 (electronic) Journal of History of Natural www.birkhauser.ch/ZAMP Sciences, Technology and Medicine 0036-6978 (print) 1420-9144 (electronic) www.birkhauser.ch/NTM

Physics in Perspective 1422-6944 (print) 1422-6960 (electronic) www.birkhauser.ch/PIP

Positivity 1385-1292 (print) 1572-9281 (electronic) www.birkhauser.ch/POS

Results in Mathematics 1422-6383 (print) 1422-9012 (electronic) www.birkhauser.ch/RM

Selecta Mathematica 1022-1824 (print) 1420-9020 (electronic) www.birkhauser.ch/SM

163 Authors and Editors Index

Abdallah, C. T. 78 Bartholdi, L. 17, 22 Buchholz, D. 91 92, 93 Abed, E.H. 78 Bashirov, A.E. 79 Costa, D.G. 63, 71 Dwyer, W.G. 34 Abele, A. E. 138 Batty, C.J.K. 76 Coulombel, J.-F. 63 Edwards, H.M. 53 Ablamowicz, R. 35 Baues, H.–J. 37 Cowling, M. 22 Eidelman, S.D. 92 Abonyi, J. 97 Baylis, W.E. 92 Cramer, R. 109 Eiderman, V. Y. 60 Adams, M. 58 Becchi, A. 128 Cuntz, J. 31 Eisenmann, J. 117 Adamson, I. T. 32 Bellouquid, A. 101 Dalang, R.C. 83 Eisenstaedt, J. 129 Aftalion, A. 76 Benedetto, J.J. 115 Dalibard, J. 92 Elliott, R.J. 96 Ageel, M. I. 85 Bensoussan, A. 77 Damgard, I 109 El Soufi, A. 62 Akos, D.M. 94 Benz, W. 28 Damour, T. 89, 92 Emel'yanov, E.Y. 46 Alfsen, E.M. 56 Berestycki, H. 72 Danielli, D. 14 Enescu, B. 120 Alpay, D. 50, 57, 62, 80 Berinde, V. 120 Darrigol, O. 92 Enns, R.H. 91, 92 Amann, H. 39, 40, 58, 65, Bermúdez de Castro, Darvas, G. 119 Ericsson, M. 104 133, 134 A. 71 Datta, A. 115 Erusalimsky, Y.M. 45 Ambrosetti, A. 115 Bernstein, J. 12, 26 Dauben, J. W. 129 Escher, J. 39, 40, 133, 134 Ambrosio, L. 57 Bertelsen, N. 94 David, G. 115 Evans, R. J. 78 Amirouche, F. 111 Beziau, J.-Y. 4 Da Prato, G. 73, 77 Faber, C. 35 Ammann, W. J. 117 Bhattacharyya, S.P. 115 Debnath, L. 62, 67, 73 Facchini, A. 25 Amrein, W.O. 60 Bi, G. 117 de Boer, R.J. 100 Falk, M. 86 Andreescu, T. 8, 9, 12, 18, Blair, D.E. 36 De Bruyn, B. 13 Famoye, F. 86 21, 34, 118, 120 Blanchard, P. 113 de Gosson, M. 36 Fardoun, A. 62 Andréka, H. 5 Bloch, E.D. 6, 32 Dehling, H. 86 Fargues, L. 17 Andreu-Vaillo, F. 74 Boggiatto, P. 59 Deischl, F. 117 Fauser, B. 90 Andrica, D. 9, 12 Bogomolov, F. 22 Delfour, M.C. 77 Feil, B. 97 Anker, J.–P. 24 Bojarski, B. 55 Delitala, M. 101 Fellmann, E.A. 125 Antia, H.M. 114 Boju, V. 119 Dell'Antonio, G. 113 Fels, G. 32 Antontsev, S.N. 72 Bolmont, E. 124 Del Santo, D. 68 Feng, Z. 8, 9, 21 Antsaklis, P.J. 104, 113 Bondy, A. 10 Demuth, M. 55 Ferraro, E. 113 Arendt, W. 65, 76 Borel, A. 32 de Pagter, B. 74 Ferreirós, J. 124 Argyros, S. A. 60 Borgwardt, K.H. 138 De Risi, V. 122 Figueiredo, I.N. 98 Arzhantseva, G.N. 17 Borovik, A. V. 21 Deutsch, A. 100, 109 Figueroa, H. 33 Atanackovic, T. M. 107 Borre, K. 94 de Vries, G. 100 Fine, B. 11 Audin, M. 37, 38 Böttcher, A. 62 Diaz, J.I. 72 Floegl, I. 117 Auget, J.-L. 82 Bouchut, F. 74 DiBenedetto, E. 60, 67 Foce, F. 128 Bachman, D. 39 Boukas, E.–K. 116 Dickinson, P.J. 94 Fonlupt, J. 10 Bachmann, H. 117 Boulabiar, K. 49 Diekmann, O. 100 Formanek, E. 26 Badescu, L. 35 Boutet de Monvel, A. 91 Dieudonne, J. 32 Förster, K.-H. 47, 59 Bagaria, J. 6 Bove, A. 68 Di Crescenzo, G. 109 Fouquet, J.-L. 10 Bahri, A. 33 Brady, N. 19 Dormann, S. 109 Fournier, J.-C. 10 Baird, P. 62 Brasselet, J.-P. 30 Douçot, B. 93 Freeden, W. 58 Bais, S. 137 Bratteli, O. 117 Doukhan, P. 88 Fresnel, J. 36 Bakstein, D. 84 Braunß, H.-A. 136 Dozzi, M. 83 Fristedt, B. E. 84 Balakrishnan, N. 81, 82 Bravo de la Parra, R. 100 do Carmo, M.P. 35 Fu, M.C. 96 Bandle, C. 72 Bresar, M. 16 Drabek, P. 44 Funar, L. 119 Bangerth, W. 71 Brighi, B. 72 Dragomir, S. 33 Gaal, I. 13 Barbu, L. 69 Brillard, A. 72 Drensky, V. 26 Gabetta, E. 106 Bardi, M. 79 Brown, K.A. 23 Dritschel, M.A. 52 Gabriel, P 138 Barndorff-Nielsen, O. Brown, R.F. 53 Dufour, J.–P. 25 Gal, S.G. 112 E. 86 Brusch, L. 100 Dungey, N. 21 Galdi, G.P. 99 Bart, H. 42 164 Bruschi, A. 113 Duplantier, B. 89, 90, Gaspar, D. 60 Gautschi, W. 114 Herod, J. V. 108 Kaufmann, S. 106, 138 Lasserre, J.B. 87 Gelbart, S. 12 Herzel, H 100 Keller, A. 128 Laugwitz, D. 127, 137 Gelca, R. 118, 120 Hess, K. 36 Kersner, R. 76 Laumon, G. 20 Gelfand, I.M. 21, 38 Hesseling, D. E. 127 Kersting, G. 132, 133 Lefèvre, W. 129 Genestier, A. 17 Heyne, A.K. 125, 136 Kharitonov, V. L. 115 LeFloch, P.G. 112 Giaquinta, M. 44, 58 Hieber, M. 65, 76 Khoussainov, B. 108 Lehto, O. 135 Giga, Y. 75 Hinich, V. 26 Khruslov, E. Y. 72 Lepowsky, J. 23 Gigli, N. 57 Hinz, A. M. 60 Kichenassamy, S. 65 Lerman, E. 37 Gilding, B.H. 76 Hirsch, G. H. 117 Kisdi, E. 100 Leugering, G. 64, 110 Ginzburg, V. 9 Hofer, H. 37 Klein, G. K. 117 LeVeque, R.J. 114 Girard, P.R. 18 Hogan, J.A. 61 Kleiner, I. 121 Levine, W. S. 112 Glynn, J. 138 Holzapfel, R.-P. 41 Knapp, A.W. 15, 23, 54, 55 Li, C. 66 Goerss, P.G. 36 Hong, S. 25 Knudson, K.P. 34 Li, H. 23 Gohberg, I. 42, 45, 55, 57, Hörmander, L. 47 Kobayashi, T. 19 Liberzon, D. 79 60, 80 Høyrup, J. 123 Kochubei, A.N. 92 Lieb, E.H. 116 Goldberg, S. 55 Hristu-Varsakelis, D. 112 Koch Medina, P. 113 Lin, Z. 113 Golubitsky, M. 75 Hu, P.–C. 13 Kock, J. 14 Lindner, M. 57 Gomez, C. 111 Huang, J.–S. 21 Koelink, E. 74 Liu, D. 99 Good, P.I. 87 Hubert, M. 88 Kotz, S. 88 Locatelli, A. 79 Goodearl, K.R. 23 Huckleberry, A. 32 Kox, A.J. 129 Lomp, C. 23 Goudon, T. 63 Hunziker, H. 137 Kozubowski, T. 88 Long, Y. 34 Gracia-Bondia, J. M. 33 Hüsler, J. 86 Kraetzl, M. 94 Lopes, O. 71 Graf, U. 108 Iagolnitzer, D. 91 Krainer, T. 136 López-Gómez, J. 41 Grätzer, G. 10, 13, 111, Iliev, B. Z. 34 Krantz, S.G. 6, 56, 61 Lubotzky, A. 21, 26 113 Illusie, L. 20 Kreck, M. 37 Luger, A. 59 Gray, A. 38 Iordache, M.V. 104 Kreiss, H.–O. 75 Lynch, S. 110 Gray, L. F. 84 Itenberg, I. 31 Kretzschmar, M. 100 Ma, X. 43 Grigoriu, M. 87 Ivasyshen, S.D. 92 Krim, H. 116 Maeda, Y. 28 Grigoryan, S. A. 60 Jacobsen, M. 87 Krishna, M. 55 Mahrenholtz, O. 117 Gröchenig, K. 111 Jagers, P. 100 Krömer, R. 127 Malchiodi, A. 115 Gromov, M. 29 Jamiolkowski, A. 112 Kuba, A. 95 Mallios, A. 35 Grossinho, M.R. 73 Janas, J. 48 Kügler, P. 130, 131 Manásevich, R. 71 Grudsky, S.M. 45, 62 Jardine, J.F. 36 Kulish, P. P. 22 Manin, Y.I. 20 Gu, K. 115 Jarrow, R.A. 96 Kumar, S. 23 Manojlovic, N. 22 Guerraggio, A. 128 Jensen, S.H. 94 Kunisch, K. 64 Marasco, A. 91 Guillemin, V. 58 Jerrum, M. 85 Kunz, E. 22 Marchenko, V. A. 72 Gürlebeck, K. 42, 138 Ji, L. 32 Kurasov, P. 48 Marchisotto, E.A. 126 Gustafsson, B. 71 Jolissaint, P. 22 Kurdachenko, L.A. 15 Marinescu, G. 43 Gutenmacher, V. 35 Jonas, P. 47, 59 Kurdila, A. J. 78 Markvorsen, S. 57 Haase, M. 61 Jorgensen, P. 117 Kwak, J.H. 25 Marohn, F. 86 Habetha, K. 42, 138 Jørgensen, S. 95 Lafforgue, V. 17 Marsden, J. E. 37 Hardy, Y. 109 Julg, P. 22 Lagnese, J.E. 110 Martindale 3rd, W.S. 16 Haurie, A. 96 Junek, H. 136 Lakey, J.D. 61 Mazon, J. M. 74 Hehl, F. W. 111 Kaashoek, M.A. 42, 55 Lancaster, P. 57 Mazzola, G. 116, 137 Heij, C. 77 Kaiser, G. 106 Lancellotta, R. 91 McEneaney, W. M. 78 Heil, C. 43 Kanwal, R.P. 56 Lande, G. J. 117 McGuire, G.C. 92 Henn, H.–W. 34 Kapovich, M. 34 Langer, H. 47, 59 Meester, R. 84 Henrot, A. 56 Kapranov, M.M. 21 Langer, M. 59 Melnikov, A. 26 Herman, G.T. 95 Karapetiants, N. 55 Lansky, P. 100 Menini, L. 78 Hernández-Lerma, O. 87 Katz, N.M. 20 Laptev, A. 48 Merino, S. 113 165 Authors and Editors Index

Mesbah, M. 82 Ojeda, M.M. 85 Ramírez Galarza, A.I. 29 Sbordone, C. 72 Metz, H. 100 Oort, F. 35 Ramos, M. 73 Schagen, F. 77 Meyer, R. 31 Oppenheim, G. 88 Ran, A.C.M. 42, 77 Schay, G. 82 Michel, A. N. 113 Orsted, B. 24 Rannacher, R. 71, 99 Scheidemann, V. 57 Michel, V. 58 Ortega, J.–P. 25 Ratiu, T. S. 25, 37 Schinazi, R. B. 87 Michor, P. 28 Otal, J. 15 Rebelo, C. 73 Schmid, W. 19 Mikhalkin, G. 31 Padula, M. 66 Regbaoui, R. 62 Schoepflin, U. 129 Mikosch, T. 86 Palamodov, V. 60 Reiss, R.-D. 83, 86 Scholz, E. 128 Milota, J. 44 Palmer, J. 103 Reissig, M. 73 Schoof, R. 25 Min-Oo, M. 57 Palombi, F. 128 Remmert, R. 137 Schröder, B. 6 Mishchenko, A. 55 Paltanea, R. 55 Renn, J. 129 Schulze, B.–W. 73 Mislin, G. 35 Pandzic, P. 21 Resnick, S. I. 84, 86 Scriba, C.J. 129 Mitter, S.K. 77 Parks, H.R. 61 Ribet, K.A. 20 Seade, J. 29 Modica, G. 44, 58 Pasquier, V. 93 Riesel, H. 13 Segal, D. 26 Molenberghs, G. 82 Pauls, S.D., 14 Rife, P. 126 Seiringer, R. 116 Mollica, F. 101 Pavlov, A. 80 Riley, T. 19 Seregin, G. 76 Moonen, B. 25 Pearson, D. B. 60 Rinder, P. 94 Serfaty, S. 70 Mora-Corral, C. 41 Pedemonte, O. 128 Rivasseau, V. 89, 90, Serrin, J. 52 Morales Ruiz, J.J. 109 Perthame, B. 105 92, 93 Shafrir, I. 72 Morosanu, G. 69 Peskir, G. 114 Robertson, A.M. 99 Shamash, Y. 113 Mortici, C. 18 Petrosjan, L.A. 96 Robinson, D. W. 21 Shen, A. 21 Morucci, S. 113 Petsche, H.–J. 138 Roch, S. 58 Shenitzer, A. 127 Moschella, U. 91 Pfeifer, W. 27 Rodino, L. 59 Shiryaev, A. 114 Moser, J. 60 Pietsch, A. 123 Rodman, L. 57 Shmarev, S. 72 Moszynska, M. 36 Pini, E. 125, 136 Rodrigues, J.F. 76, 98 Shonkweiler, R. W. 108 Muller, J.–M. 110 Pison, G. 88 Rollins, D. 72 Short, H. 19 Müller, P.F.X. 58 Pittalis, S. 113 Romano, A. 91 Shparlinski, I. 12 Müller, V. 49 Pittenger, A.O. 107 Rose, H.E. 24 Shultz, F.W. 56 Mumford, D. 50, 51 Podgorski, K. 88 Rosenberg, J.M. 31 Shustin, E. 31 Mushkarov, O. 34 Pogorzelski, W.A. 4 Rosenberger, G. 11 Sidoravicius, V. 86 Muto, S. 96 Pointcheval, D. 109 Rößler, W. 135 Silbermann, B. 58 Myint-U, T. 67 Ponnusamy, S. 55 Rota, G.–C. 128 Silva, G.J. 115 Naboko, S. 48 Pont, J.-C. 121 Roubicek, T. 74 Silverman, H. 55 Nagasawa, M. 88 Pragacz, P. (Ed.) 38 Ruf, B. 71 Sinestrari, C. 74 Nashed, Z. 72 Prestini, E. 60 Russo, F. 83 Singer, S.F. 26 Nastasi, P. 128 Pretlove, A. J. 117 Sabadini, I. 57, 71 Slaughter, W.S. 116 Natke, H. G. 117 Preziosi, L. 101 Saberi, A. 98 Smirnova-Nagnibeda, Németi, I. 5 Puca, S. 113 Saemann, E.–U. 117 T. 22 Nerode, A. 108 Pucci, P. 52 Sahai, H. 85 Smith, J.T. 126 Neubrander, F. 65, 76 Qian, T. 53 Sain, I. 5 Snaith, V.P. 12 Neunzert, H. 138 Quincampoix, M. 95 Samko, S. 55 Soares Ruas, M.A. 30 Nicaise, S. 65 Quittner, P. 70 Samokhin, M. V. 60 Sobczyk, G. 35 Nievergelt, Y. 5 Rabinovich, V. 45, 58 Samtleben, H. 22 Sohr, H. 75 Nijmeijer, H. 80 Rabinowitz, P. 71 Sandier, E. 70 Solovej, J. P. 116 Nowak, A.S. 107 Rachev, S.T. 112 Sannuti, P. 98 Sommen, F. 71 Nowak, I. 115 Raghavan, T.E.S. 96 Santos, L. 98 Sone, Y. 102 Nussbaumer, H. 117 Raimond, J.-M. 89 Sarabia, J.M. 81 Sörensen, M. 86 Obukhov, Y.N. 111 Rainer, J. H. 117 Saul, M. 38 Souplet, P. 70 Ochiai, T. 28 Rajagopal, K.R. 101, 108 Savaré, G. 57 Sprekels, J. 64 166 Ogden, T. 111 Ramírez Alfonsín, J.L. 10 Savkin, A. V. 78 Springer, T.A. 25 Sprössig, W. 42, 138 Triki, A. 49 White, N. 21 Srikant, R. 80 Troitsky, E. 55 Williams, K. 102, 103, Stachel, J. 128 Tröltzsch, F. 64 114, 120 Staicu, V. 64 Trudeau, R.J. 37 Williams, R. J. 85 Stanley, R.P. 8 Truesdell, C. 108 Windsteiger, W. 130, 131 Steeb, W. H. 109, 137 Trunk, C. 47 Wojtylak, P. 4 Steffens, K.–G. 129 Tschinkel, Y. 22 Wolf, J.A. 32 Steinbeisser, L. 117 Turaev, V. 62 Wong, M.W. 45, 59 Stewart, I. 75 Turek, S. 99 Woracek, H. 59 Stojanovic, S. 109 Tyson, J.T. 14 Woyczynski, W.A. 81 Stolz, G. 48 Ullrich, P. 137 Xiao, J. 34 Stoop, R. 137 Ulmer Busenhart, H. 75 Xu, Y. 53 Stoorvogel, A.A. 98 Uludag, A. M. Yang, C.–C. 13 Storer, J.A. 107 Unterberger, A. 27 Yang, J.-H. 19 Storrer, H.H. 137 Urbano, J.M. 76 Yeargers, E. K. 108 Stout, E.L. 48 Vai, M.I 53 Yen, J.-Y.J. 96 Stoyanov, L. 34 Vainsencher, I. 14 Yezzi, Jr., A. 116 Stroock, D. W. 53 Valente, V. 72 Yngvason, J. 116 Struppa, D.C. 57, 71 Valette, A. 22, 34, 35 Yoshida, M. 41 Struyf, A. 88 Vanaja, N. 23 Yoshioka, A. 28 Subbotin, I.Y. 15 Van Aelst, S. 88 Zabarankin, M. 78 Suris, Y.B. 13 van den Essen, A. 26 Zaccarian, L. 78 Suzuki, T. 72 van der Geer, G. 25, 35 Zaharopol, R. 86 Sweers, G. 74 van der Put, M. 36 Zanghirati, L. 66 Szabo, S 27 van de Wouw, N. 80 Zannier, U. 16, 118 Szajowski, K. 107 van Neerven, J. 74 Zayed, A. 115 Takagi, T. 109 Varilly, J. C. 33 Zehnder, E. 37 Taqqu, M.S. 88 Vasil'ev, A. 71 Zeidler, E. 90 Tarantello, G. 68 Vasilescu, F.H. 60 Zelevinsky, A.V. 21 Taylor, M. 74 Vasilevski, N. 45 Zeng, Y. 117 Teolis, A. 109 Vasilyev, N.B. 35 Zhang, H. 99 ter Elst, A.F.M. 21 Väth, M. 46 Zheng, Z. 71 Tewari, A. 97 Ventura, E. 17 Zhi, L. 105 Tewes, B. 86 Vergara Caffarelli, G. 72 Zhu, H. 45 Thangavelu, S. 54 Vilenkin, N.Y. 6 Zoladek, H. 37 Thomas, M. 83 Villaggio, P. 122 Zsido, L. 60 Tian, G. 32 Villa Salvador, G.D. 12 Zuk, A. 22 Timotin, D. 60 Vincent, T.L. 95 Zulehner, W. 131, 132 Tirozzi, B. 113 Vinnikov, V. 50 Zung, N. T. 25 Tobies, R. 138 Vollert, A. 84 Todorcevic, S. 6, 7, 60 Vorobiev, N.N. 120 Toft, J. 45, 59 Voronov, A.A. 36 Tolksdorf, J. 90 Vujanovic, B. Z. 107 Tomassini, G. 33 Walczak, P. 22 Tomei, C. 71 Wallis, W.D. 5, 7, 94 Tonev, T. V. 60 Walnut, D.F. 57, 108 Toponogov, V.A. 33 Walter, S. 124 Torres del Castillo, G.F. Wang, D. 71, 105 106 Weber, A. 55 Triebel, H. 61 Weil, A. 11 167 Order Information Distribution Centers Editorial Matters

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