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To order any of our books or Europe, Asia, Africa, Birkhäuser Verlag AG journals please contact your Australia Viaduktstrasse 42 local bookseller or order at Birkhäuser Customer Service 4051 Basel/Switzerland www.birkhauser.ch c/o Springer Customer Tel: +41 / 61 / 2 05 07 07 Service Center Fax: +41 / 61 / 2 05 07 99 To subscribe or unsubscribe Haberstrasse 7 to this catalogue please 69126 Heidelberg/Germany Editors: contact Dr. Thomas Hempfling Books: [email protected] Executive Editor Tel.: +49 / 6221 / 345 43 01 Mathematics Fax: +49 / 6221 / 345 42 29 All prices are recommended [email protected] [email protected] prices, except Euro prices for Birkhäuser German titles. Journals: Dr. Barbara Hellriegel EUR prices are net prices. Tel. +49 / 6221 / 345 43 01 Editor EUR (D) prices are gross Fax +49 / 6221 / 345 42 29 Applied Mathematics/Computer Birkhäuser prices including 7% German [email protected] Science VAT. [email protected]

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5027 S (07/2009) New and noteworthy books and journals Highlights

Journal of Pseudo-Differential Operators and Applications See page 153

New Related Book Series: Journal Pseudo-Differential Operators Theory and Applications • Vol. 1. Quantization and Arithmetic See page 22 • Vol. 2. Pseudo-Differential Operators and Symmetries See page 62 • Vol. 3. Global Pseudo-differential Calculus on Euclidean Spaces: See page 61

Second New Edition Series

Mathematical Combinatorial Autonomic Olympiad Number Theory and Systems Challenges Additive Group Theory See page 105 See page 111 See page 7

Control and Optimization MetricM t i FFoliations li ti The Physical Tourist of Multiscale Process and Curvature See page 120 Systems See page 20 See page 101

2 Contents

Logic and Foundations 4 Combinatorics / Number Theory 7 Algebra and Representation Theory 12 Geometry / Topology 18 Analysis / Operator Theory 30 Differential Equations / Dynamical Systems 61 Systems and Control 73 Probability and Statistics 77 Mathematical Physics / Physics 84 Numerical and Computational Mathematics / Applications 92 Of General Interest 111 History of Science 115

Deutschsprachige Titel / German Language Titles 127

Series Index Series in Pure and Applied Mathematics 139 Series in History of Science 151

Journals 153

Authors and Editors Index 164

Contact Information 168

T Textbooks suitable for undergraduate,

TEXTBOOK advanced undergraduate or graduate students

The catalogues cover image is a coloured version of a David head taken from Discrete Differential Geometry (see page 24) by Alexander I. Bobenko, Peter Schröder, John M. Sullivan and Günter M. Ziegler (Eds.): Chapter: Discrete Differential Forms for Computational Modeling by Mathieu Desbrun, Eva Kanso and Yiying Tong. The figure is combined with a massif.

3 Logic and Foundations

Institution-independent Model Theory Diaconescu, R., Simion Stoilow Romanian Academy, Romania SUL – Studies in Universal Logic

A model theory that is independent of any concrete logical system allows a general handling of a large variety of logics. This Universal Algebraic Logic generality can be achieved by applying the Dedicated to the Unity of Science theory of institutions that provides a precise Andréka, H. / Németi, I. / Sain, I. mathematical formulation for the intuitive Hungarian Academy of Sciences, Budapest, concept of a logical system. Especially in Hungary computer science, where the development of a huge number of specification logics is SUL – Studies in Universal Logic observable, institution-independent model Due in Winter 2009 theory simplifies and sometimes even enables a concise model-theoretic analysis The three main themes of this book are (i) of the system. Besides incorporating universal logic and the question of what important methods and concepts from logic is, (ii) universal algebraic logic and conventional model theory, the proposed duality theories between the world of logics top-down methodology allows for a and the world of algebra, and (iii) algebraic structurally clean understanding of model- logic proper including algebras of relations theoretic phenomena. As a consequence, of various ranks, Tarski’s cylindric algebras, results from conventional concrete model relation algebras, Halmos’ polyadic algebras theory can be understood more easily, and and other kinds of algebras of logic. Besides sometimes even new results are obtained. Tarskian algebraizations of logics, category 2008. XI, 376 p. Softcover theoretical perspectives are also touched EUR 69.90 / USD 99.– / CHF 125.– upon. Following the Tarskian tradition, ISBN 978-3-7643-8707-5 besides the connections between logic and algebra, related logical connections Completeness Theory for with geometry and eventually spacetime geometry leading up to relativity are also Propositional Logics part of the perspective of the book. An Pogorzelski, W.A., University of Bialystok, introductory chapter contains the necessary Poland / Wojtylak, P., Silesian University algebraic basics, this can be used in its own Katowice, Poland right as a quick introduction to universal SUL – Studies in Universal Logic algebra.

2010. Approx. 260 p. Softcover The book develops the theory of one EUR 59.95 / USD 79.95 / CHF 105.– of the most important notions in the ISBN 978-3-7643-8505-7 methodology of formal systems. Particularly, completeness plays an important role in propositional logic where many variants of the notion have been defined. Global variants of the notion mean the possibility of getting all correct and reliable schemata

4 Logic and Foundations of inference. Its local variants refer to the Set Theory notion of truth given by some semantics. Centre de Recerca Matemàtica A uniform theory of completeness in its general and local meaning is carried out and Barcelona, 2003-2004 it generalizes and systematizes some variety Bagaria, J. / Todorcevic, S. (Eds) of the notion of completeness such as Post- TM – Trends in Mathematics completeness, structural completeness and many others. This approach allows 2006. VI, 406 p. Hardcover also for a more profound view upon some EUR 99.– / USD 139.– / CHF 159.– ISBN 978-3-7643-7691-8 essential properties (e.g. two-valuedness) of propositional systems. For these purposes, T the theory of logical matrices, and the theory A Beginner’s Guide to TEXTBOOK of consequence operations is exploited. Finite Mathematics 2008. VIII, 178 p. Softcover For Business, Management, and the EUR 49.90 / USD 69.95 / CHF 85.– ISBN 978-3-7643-8517-0 Social Sciences Wallis, W.D. T Logic for Computer 2004. XII, 354 p. 100 illus. Softcover TEXTBOOK EUR 49.95 / USD 64.95 / CHF 77.50 Scientists ISBN 978-0-8176-4270-9 Schöning, U., University of Ulm, Germany Reprint A Beginner’s Guide to Discrete T TEXTBOOK MBC – Modern Birkhäuser Classics Mathematics 1st ed. 1989. 2nd printing 2008. XII, 166 p. 32 illus. Softcover Wallis, W.D. EUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4762-9 This introduction to discrete mathematics is aimed primarily at undergraduates in Logica Universalis mathematics and computer science at the freshmen and sophomore levels. The text Towards a General has a distinctly applied orientation and Theory of Logic begins with a survey of number systems and Béziau, J.-Y. (Ed.) elementary set theory. Additional chapters treat: data structures, counting, probability, “I find this book extremely useful and relations and functions, graph theory, important, because it signifies the arrival matrices, number theory and cryptography. of a new renaissance in logic, a new revival Good examples occur throughout and there not only of logic, but of the vision of logic are problem sets with selected solutions at as a unifying tool for science as a whole, the end of each section. A college algebra including mathematics, physics, cosmology, course is the only prerequisite. computer science and AI. The book and the 2003. 388 p. 43 illus. Softcover vision behind it give logic, conceived as a EUR 39.90 / USD49.95 / CHF 69.90 scientific study of rationality, new unifying ISBN 978-0-8176-4269-3 power, new perspectives, and new horizons.” — Hungarian Academy of Sciences

2007. XI, 246 p. Softcover EUR 49.90 / USD 79.95 / CHF 78.– ISBN 978-3-7643-8353-4

5 Logic and Foundations

Ordered Sets T Proofs and Fundamentals T An Introduction TEXTBOOK A First Course in Abstract TEXTBOOK Schröder, B. Mathematics Bloch, E.D. 2003. XVII, 391 p. 35 illus. Hardcover EUR 54.95 / USD 74.95 / CHF 85.50 ISBN 978-0-8176-4128-3 “… Proofs and Fundamentals has many strengths. One notable, strength, is its excellent organization. The book begins Handbook of Logic and Proof with a three-part preface, which makes its Techniques for Computer Science aims very clear. There are large exercise Krantz, S.G. sets throughout the book … Exercises are well integrated with the text and vary “This is really what it promises to be – a good appropriately from easy to hard … Topics in handbook: supple, self-contained, providing Part III are quite varied, mostly independent the necessary and sufficient working from each other, and truly dependent on resources … it is more than [one] expect[s]: Parts I and II. At the end of the book there the rigor of usefulness and conciseness are useful hints to selected exercises. exceeds or equals … the pleasure of reading Perhaps the book’s greatest strength is the it.” — Zentralblatt Math author’s zeal and skill for helping students write mathematics better. Careful guidance 2002. XIX, 245 p. 16 illus. Hardcover EUR 59.95 / USD 79.95 / CHF 93.50 is given throughout the book. Basic issues ISBN 978-0-8176-4220-4 like not abusing equal signs are treated explicitly. Attention is given to even relatively T small issues, like not placing a mathematical Foundations of Logic and TEXTBOOK symbol directly after a punctuation mark. Mathematics Throughout the book, theorems are often Applications to Computer Science and followed first by informative ‘scratch work’ Cryptography and only then by proofs. Thus students can see many examples of what they should Nievergelt, Y. think, what they should write, and how these 2001. XVI, 415 p. 22 illus. Hardcover are usually not the same.” — MAA Online EUR 66.95 / USD 89.95 / CHF 104.– ISBN 978-0-8176-4249-5 2000. XXI, 424 p. Hardcover EUR 44.90 / USD 54.95 / CHF 79.90 ISBN 978-0-8176-4111-5 T Set Theory: An Introduction TEXTBOOK Vaught, R.L.

2nd ed. 1995. 1st softcover printing 2nd 2001. 184 p. 8 illus. Softcover Edition EUR 74.95 / USD 99.– / CHF 116.50 ISBN 978-0-8176-4256-3

6 Combinatorics / Number Theory

TEXTBOOK

Quantitative Combinatorial Number Theory and Arithmetic of Additive Group Theory Projective Varieties Geroldinger, A., University of Graz, Austria / Browning, T.D., Bristol University, UK Ruzsa, I.Z., Hungarian Academy of Sciences, Budapest, Hungary Winner of the Ferran Sunyer i Balaguer Prize 2009 Advanced Courses in Mathematics - CRM Barcelona PM – Progress in Mathematics, Vol. 277 Due in September 2009 Additive combinatorics is a relatively recent term coined to comprehend the This book is concerned with counting developments of the more classical rational points of bounded height on additive number theory, mainly focussed on projective algebraic varieties. This is a fertile problems related to the addition of integers. and vibrant topic that lies at the interface Some classical problems like the Waring of analytic number theory and Diophantine problem on the sum of k-th powers or the geometry. The goal of the book is to give Goldbach conjecture are genuine examples a systematic account of the field with an of the original questions addressed in the emphasis on the role that analytic number area. One of the features of contemporary theory has to play in its development. additive combinatorics is the interplay of a great variety of mathematical techniques, 2010. Approx. 170 p. Hardcover EUR 44.95 / USD 99.– / CHF 69.90 including combinatorics, harmonic analysis, ISBN 978-3-0346-0128-3 convex geometry, graph theory, probability theory, algebraic geometry or ergodic theory. This book gathers the contributions of many of the leading researchers in the area and is divided into three parts. The two first parts correspond to the material of the main courses delivered, Additive combinatorics and non-unique factorizations, by Alfred Geroldinger, and Sumsets and structure, by Imre Z. Ruzsa. The third part collects the notes of most of the seminars which accompanied the main courses, and which cover a reasonably large part of the methods, techniques and problems of contemporary additive combinatorics.

2009. XI, 330 p. Softcover EUR 39.90 / USD 54.95 / CHF 69.90 ISBN 978-3-7643-8961-1

7 Combinatorics / Number Theory

T Topics from the T TEXTBOOK Theory of Numbers TEXTBOOK Grosswald, E., Technion, Haifa, Israel Reprint MBC – Modern Birkhäuser Classics

2nd ed. 1984. Reprint. 2009. XVIII, 333 p. 8 illus. Softcover EUR 39.90 / USD 49.95 / CHF 69.90 ISBN 978-0-8176-4837-4 Number Theory Structures, Examples, and Problems Classic Papers in Reprint Andreescu, T., The University of Texas at Combinatorics Dallas, Richardson, TX, USA / Andrica, D., Gessel, I., Brandeis University, Waltham, MA, "Babes-Bolyai" University, Cluj-Napoca, USA / Rota, G.-C. (Eds) Romania MBC – Modern Birkhäuser Classics

Key features of Number Theory: Structures, Reprint of the 1987 ed. 2009. X, 489 p. 10 illus. Softcover Examples, and Problems: EUR 34.90 / USD 49.95 / CHF 59.90 ISBN 978-0-8176-4841-1 * A rigorous exposition starts with the natural numbers and the basics. * Important concepts are presented with Eisenstein Series and Applications an example, which may also emphasize Gan, W.T., UCSD, La Jolla, CA, USA / an application. The exposition moves Kudla, S.S., University of Toronto, ON, systematically and intuitively to uncover CANADA / Tschinkel, Y., Courant Institute of deeper properties. Mathematical Sciences/NYU, New York, NY, * Topics include divisibility, unique USA (Eds) factorization, modular arithmetic and the Chinese Remainder Theorem, Diophantine PM – Progress in Mathematics, Vol. 258 equations, quadratic residues, binomial coefficients, Fermat and Mersenne primes Eisenstein series are an essential ingredient and other special numbers, and special in the spectral theory of automorphic forms sequences. Sections on mathematical and an important tool in the theory of induction and the pigeonhole principle, L-functions. They have also been exploited as well as a discussion of other number extensively by number theorists for many systems are covered. arithmetic purposes. Bringing together * Unique exercises reinforce and motivate contributions from areas that are not usually the reader, with selected solutions to some interacting with each other, this volume of the problems. introduces diverse users of Eisenstein series * Glossary, bibliography, and comprehensive to a variety of important applications. With index round out the text. this juxtaposition of perspectives, the reader This text is a clear, accessible introduction obtains deeper insights into the arithmetic to the subject and a source of fascinating of Eisenstein series. The central theme problems and puzzles, from advanced high of the exposition focuses on the common school students to undergraduates, their structural properties of Eisenstein series instructors, and general readers at all levels. occurring in many related applications that have arisen in several recent developments 2009. XVIII, 384 p. 2 illus. Hardcover in arithmetic: Arakelov intersection theory EUR 49.90 / USD 59.95 / CHF 89.90 ISBN 978-0-8176-3245-8 on Shimura varieties, special values of L-functions and Iwasawa theory, and

8 Combinatorics / Number Theory

equidistribution of rational/integer points the International Mathematical Olympiad. on homogeneous varieties. Key questions College students participating in the Putnam that are considered include: Is it possible to competition might also find quite a few identify a class of Eisenstein series whose interesting problems. Moreover, any course Fourier coefficients (resp. special values) in number theory could be supplemented encode significant arithmetic information? with this book and could use some of Do such series fit into p-adic families? Are the references included. Even research the Eisenstein series that arise in counting mathematicians working in number theory problems of this type? will find this book of value in their pursuits.” — MAA Online 2008. X, 314 p. Hardcover EUR 54.90 / USD 69.95 / CHF 95.– 2007. XII, 204 p. Softcover ISBN 978-0-8176-4496-3 EUR 34.95 / USD 44.95 / CHF 54.50 ISBN 978-0-8176-4527-4 Walks on Ordinals and Their Characteristics Number Theory Reprint Todorcevic, S. An approach through history PM – Progress in Mathematics, Vol. 263 from Hammurapi to Legendre Weil, A. 2007. VI, 324 p. Hardcover EUR 59.90 / USD 89.95 / CHF 105.– MBC – Modern Birkhäuser Classics ISBN 978-3-7643-8528-6 1st ed. 1987., 4th printing T 2007. XXII, 376 p. 18 illus. Softcover A Beginner’s Guide to EUR 34.95 / USD 44.95 / CHF 54.50 TEXTBOOK ISBN 978-0-8176-4565-6 Graph Theory Wallis, W.D. Number Theory T TEXTBOOK Review of First Edition: An Introduction via the “Altogether the book gives a comprehensive Distribution of Primes introduction to graphs, their theory and their Fine, B. / Rosenberger, G. application…The use of the text is optimized when the exercises are solved. The obtained “This book attempts the rather ambitious skills improve understanding of graph theory task of covering much of elementary, analytic as well … It is very useful that the solutions and algebraic number theory in a bit over 300 of these exercises are collected in an pages.” — MathSciNet appendix.” — Simulation News Europe 2007. XIII, 342 p. 12 illus. Softcover 2nd ed. 2007. XX, 260 p. 160 illus. Softcover EUR 49.90 / USD 79.95 / CHF 89.90 EUR 34.95 / USD 44.95 / CHF 54.50 ISBN 978-0-8176-4472-7 ISBN 978-0-8176-4484-0 T T Topics in the Theory of 104 Number Theory TEXTBOOK TEXTBOOK Algebraic Function Fields Problems Villa Salvador, G.D. From the Training of the USA IMO Team Andreescu, T. / Andrica, D. / Feng, Z. MTA – Mathematics: Theory & Applications

“In short, this book is a very valuable tool for “Gabriel Daniel Villa Salvador’s book Topics any student/coach interested in preparing in the Theory of Algebraic Function Fields for mathematics competitions, especially was recently translated into English and

9 Combinatorics / Number Theory

published by Birkhäuser (the original version A Path to Combinatorics for T was published in Mexico in 2003). In the Undergraduates TEXTBOOK book, Salvador covers a large amount of material at a wide range of levels of difficulty, Counting Strategies and as such his book could be used in a Andreescu, T. / Feng, Z. wide variety of settings. … The entire book is very well written and Villa Salvador includes “… the book provides quite an amazing many examples to both illustrate and motive collection of combinatorial problems, many of the theory being presented. There are also a them original, and many of them from a hard handful of exercises in each chapter. … The to find sources like Russian olympiads. ... The study of function fields is a beautiful area presentation of the solutions is very clear of mathematics which seems to be ever- and instructive, with emphasis on common increasing in importance, and this book is a mistakes.” — Mathematics Bohemica wonderfully well-written introduction to the 2004. XVIII, 228 p. 40 illus. Softcover area.” — MAA Reviews EUR 39.95 / USD 54.95 / CHF 62.– ISBN 978-0-8176-4288-4 2006. XVI, 652 p. 20 illus. Hardcover EUR 78.– / USD 99.– / CHF 114.– ISBN 978-0-8176-4480-2 T An Introduction to the TEXTBOOK T Langlands Program Complex Numbers Bernstein, J. / Gelbart, S. (Eds) TEXTBOOK from A to ... Z Andreescu, T. / Andrica, D. “The six chapters of this monograph give a broad, user-friendly introduction to the “It is for the readers who seek to harness Langlands program, that is, the theory of new techniques and to polish their mastery automorphic forms and its connection with of the old ones. It is for somebody who made the theory of L-functions and other fields of it their business to be solving problems on a mathematics. First-year graduate students regular basis. These readers will appreciate and researchers will benefit from this the scope of the methodological detail the beautiful text.” — Zentralblatt Math authors of the book bring to their attention, 2003. VIII, 281 p. 5 illus. Softcover they will appreciate the power of the EUR 39.90 / USD 49.95 / CHF 69.90 methods and the intricacy of the problems.” ISBN 978-0-8176-3211-3 — MAA Reviews T 2005. XI, 321 p. Softcover 102 Combinatorial Problems EUR 39.90 / USD 49.95 / CHF 69.90 TEXTBOOK ISBN 978-0-8176-4326-3 From the Training of the USA IMO Team Andreescu, T. / Feng, Z. T Combinatorics and TEXTBOOK “Andreescu’s 51 ‘introductory problems’ and Commutative Algebra 51 ‘advanced problems’, all novel, would Stanley, R.P. 2nd nicely supplement any university course in Edition combinatorics or discrete mathematics. This PM – Progress in Mathematics, volume contains detailed solutions, some- Vol. 41 times multiple solutions, for all the problems, 2nd ed. 1996. X, 180 p. Softcover and some solutions offer additional twists for EUR 66.95 / USD 89.95 / CHF 104.– further thought …“ — Choice ISBN 978-0-8176-4369-0 2003. XII, 116 p. 40 illus. Softcover EUR 34.95 / USD 44.95 / CHF 54.50 ISBN 978-0-8176-4317-1

10 Combinatorics / Number Theory

General Lattice Theory 2nd Grätzer, G. Edition

“… Grätzer’s ‘General Lattice Theory’ has become the lattice theorist’s bible. Now … we have the second edition, in which the old testament is augmented by a new testament … The new testament gospel is provided by leading and acknowledged experts in their fields … Each [of these eight contributions] is itself a gold mine. This is an excellent and engaging second edition that will long remain a standard reference.” — Mathematical Reviews

2003. XIX, 663 p. Softcover EUR 74.90 / USD 92.– / CHF 129.– ISBN 978-3-7643-6996-5

T Magic Graphs TEXTBOOK Wallis, W.D.

“The book should be accessible to advanced undergraduates or beginning graduate students. It might serve as inspiration for an REU program or as a source for senior undergraduate research projects, particularly if supervised by a mathematician who is truly ‘up’ on what is going on in this field.” — MAA Reviews

2001. XIV, 146 p. 21 illus. Softcover EUR 54.95 / USD 74.95 / CHF 85.50 ISBN 978-0-8176-4252-5

Tree Lattices Bass, H. / Lubotzky, A. PM – Progress in Mathematics, Vol. 176

“The book is a helpful resource to researchers in the field and students of geometric methods in group theory.” — Educational Book Review

2001. XIII, 233 p. 80 illus. Hardcover EUR 69.90 / USD 89.95 / CHF 119.– ISBN 978-0-8176-4120-7

Algebra and Representation Theory draft

Ring and Module Theory Combinatorial Albu, T., Romanian Academy of Sciences, and Geometric Bukarest, Romania / Birkenmeier, G.F., Group Theory University of Louisiana, Lafayette, USA / Erdogan, A., Hacettepe University, Ankara, Dortmund and Carleton Conferences Turkey / Tercan, A., Hacettepe University, Bogopolski, O., University of Dortmund, Ankara, Turkey (Eds) Germany / Bumagin, I., Carleton University, Ottawa, Canada / Kharlampovich, O., McGill TM – Trends in Mathematics University, Montreal, QC, Canada / Due in Winter 2009 Ventura, E., Universitat Politecnica de Catalunya, Barcelona, Spain (Eds) The volume consists of a collection of invited TM – Trends in Mathematics research papers and expository/survey articles, many of which were presented at Due in Winter 2009 the International Conference on Ring and Module Theory held at Hacettepe University This volume assembles several research in Ankara, Turkey, in August 2008. The papers in all areas of geometric and selected papers and articles examine wide combinatorial group theory originated in the ranging and cutting edge developments recent conferences in Dortmund and Ottawa in various areas of algebra, including ring in 2007. It contains high quality refereed theory, module theory, and commutative articles developing new aspects of these algebra. There is also a section devoted to modern and active fields in mathematics. open problems to motivate further research. It is also appropriate to advanced students interested in recent results at a research 2010. Approx. 400 p. Hardcover level. Approx. EUR 99.– / USD 149.– / CHF 159.– ISBN 978-3-0346-0006-4 2009. Approx. 350 p. Hardcover EUR 99.– / USD 139.– / CHF 175.– ISBN 978-3-7643-9910-8

12 Algebra and Representation Theory

Frobenius Categories Regularity and Versus Brauer Blocks Substructures of Hom The Grothendieck Group of the Kasch, F., University of Munich, Germany / Frobenius Category of a Brauer Block Mader, A., University of Hawaii, Honolulu, HI, USA Puig, L., Université Paris VII Denis Diderot, Paris, France FM – Frontiers in Mathematics PM – Progress in Mathematics, Vol. 274 The book generalizes the well-known regularity of ring elements to regularity This book contributes to important of homomorphisms in module categories, questions in modern representation and further to regularity of morphisms in theory of finite groups. On the one hand, it any category. Regular homomorphisms are introduces and develops the abstract setting characterized in terms of decompositions of of the Frobenius categories (also called the domain and codomain, and numerous other Saturated fusion systems in the literature), results are presented. While the theory is created by the author fifteen years ago for well developed in module categories many a better understanding of what was loosely questions remain about generalizations and called the local theory either of finite groups extensions to other categories. The book only or of blocks, and for the purpose of an requires the knowledge of a basic course eventual classification. in modern algebra. It is written clearly, with On the other hand, it gives the application great detail, and is accessible to students of the abstract setting to the blocks. In and researchers alike. particular, it develops a framework for a deeper understanding of one of the central 2009. XV, 164 p. Softcover open problems in representation theory, EUR 39.90 / USD 59.95 / CHF 69.90 ISBN 978-3-7643-9989-4 known as Alperin’s Weight Conjecture (AWC). One of the main results of the book is a reduction theorem of the author’s own form of AWC to quasi-simple groups. Although it is a research monograph rather than a textbook, all the arguments are widely developed to make it accessible to interested graduate students. A long introduction gives a motivating insight to each chapter and provides a basic guideline.

2009. 498 p. Hardcover EUR 79.90 / USD 109.– / CHF 139.– ISBN 978-3-7643-9997-9

13 Algebra and Representation Theory

Beyond the Quartic Equation D-Modules, Perverse T Reprint King, R. B., University of Georgia, Sheaves, and Representation TEXTBOOK Athens, GA, USA Theory MBC – Modern Birkhäuser Classics Hotta, R. / Takeuchi, K. / Tanisaki, T.

1st ed. 1996. 2nd printing 2009. X, 149 p. 16 illus. Softcover PM – Progress in Mathematics, Vol. 236 EUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4836-7 “A self-contained introduction to D-modules, with the aim of showing how they were used T Linear Algebraic Groups to solve the Kazhdan-Lusztig conjecture. TEXTBOOK … present book can be used as a good Springer, T.A., Universiteit Utrecht, The Netherlands reference on D-modules and on advanced Reprint representation theory of semisimple Lie MBC – Modern Birkhäuser Classics algebras, but especially as a detailed account on the relations between them; in fact, in 2nd ed. 1998. 2nd printing 2009. XII, 334 p. Softcover our opinion this is the first and very welcome EUR 39.90 / USD 49.95 / CHF 69.90 complete work devoted to a mainstream ISBN 978-0-8176-4839-8 research field (the ‘Algebraic Analysis’ approach to representation theory) which Modules and Comodules remains very active almost thirty years.” — Corrado Marastoni, Mathematical Reviews, Brzezinski, T., University of Wales, Issue 2008 k Swansea, UK / Gómez Pardo, J.L., Universidad de Santiago, Santiago 2008. XII, 412 p. 66 illus. Hardcover de Compostela, Spain / Shestakov, I., EUR 78.– / USD 89.95 / CHF 128.– ISBN 978-0-8176-4363-8 Universidade de Sao Paulo, Brasil / Smith, P.F., University of Glasgow, UK (Eds) T

TM – Trends in Mathematics Group-based Cryptography TEXTBOOK Myasnikov, A. / Shpilrain, V. / Ushakov, A., The 23 articles in this volume encompass Advanced Courses in Mathematics - CRM the proceedings of the International Barcelona Conference on Modules and Comodules held in Porto (Portugal) in 2006 and dedicated to This book is about relations between Robert Wisbauer on the occasion of his 65th three different areas of mathematics and birthday. These articles reflect Professor theoretical computer science: combinatorial Wisbauer’s wide interests and give an group theory, cryptography, and complexity overview of different fields related to module theory. It is explored how non-commutative theory, some of which have a long tradition (infinite) groups, which are typically studied whereas others have emerged in recent in combinatorial group theory, can be years. They include topics in the formal used in public key cryptography. It is also theory of modules bordering on category shown that there is a remarkable feedback theory, in ring theory, in Hopf algebras from cryptography to combinatorial group and quantum groups, and in corings and theory because some of the problems comodules. motivated by cryptography appear to be 2008. XII, 355 p. Hardcover new to group theory, and they open many EUR 99.– / USD 139.– / CHF 175.– interesting research avenues within group ISBN 978-3-7643-8741-9 theory. Then, complexity theory, notably generic-case complexity of algorithms, is employed for cryptanalysis of various

14 Algebra and Representation Theory

cryptographic protocols based on infinite versatile mathematical researcher, teacher, groups, and the ideas and machinery from and author Anthony W. Knapp that reflects the theory of generic-case complexity are his spirit, his devotion to mathematics, and used to study asymptotically dominant his rich experiences in expository writing at properties of some infinite groups that have best ... This textbook is the second volume been applied in public key cryptography of Anthony W. Knapp’s comprehensive so far. Its elementary exposition makes introduction to the fundamental concepts the book accessible to graduate as well as and tools in modern abstract algebra. undergraduate students in mathematics or Together with its foregoing companion computer science. volume Basic Algebra, ... the current book is to provide a global view of the subject, 2008. XV, 183 p. Softcover EUR 29.90 / USD 49.95 / CHF 52.90 thereby particularly emphasizing both its ISBN 978-3-7643-8826-3 various applications and its ubiquitous role in contemporary mathematics ...” —Zentralblatt Math Discriminants, Resultants, Reprint and Multidimensional 2008. XXIV, 730 p. 10 illus. Hardcover EUR 54.90 / USD 69.95 / CHF 95.– Determinants ISBN 978-0-8176-4522-9 Gelfand, I.M. / Kapranov, M.M. / Zelevinsky, A.V. Basic Algebra T TEXTBOOK MBC – Modern Birkhäuser Classics Knapp, A.W.

Reprint of the 1994 ed. 2008. X, 523 p. 30 illus. Softcover COR – Cornerstones EUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4770-4 2006. XXII, 717 p. 42 illus. Hardcover EUR 54.90 / USD 69.95 / CHF 95.– ISBN 978-0-8176-3248-9 Representation Theory and Automorphic Forms Basic Algebra and T Kobayashi, T. / Schmid, W. / Yang, J.-H. (Eds) TEXTBOOK Advanced Algebra Set PM – Progress in Mathematics, Vol. 255 Knapp, A.W. 2008. VIII, 216 p. 10 illus. Hardcover COR – Cornerstones EUR 54.90 / USD 69.95 / CHF 95.– ISBN 978-0-8176-4505-2 2008. XLVI, 1454 p. 2-volume-set. EUR 69.90 / USD 89.95 / CHF 125.– ISBN 978-0-8176-4533-5 Determinantal Ideals Miró-Roig, R.M. Quadratic Mappings and Clifford PM – Progress in Mathematics, Vol. 264 Algebras 2008. XVI, 138 p. Hardcover Helmstetter, J. / Micali, A. EUR 39.90 / USD 59.95 / CHF 69.90 ISBN 978-3-7643-8534-7 After a classical presentation of quadratic mappings and Clifford algebras over T Advanced Algebra arbitrary rings (commutative, associative, TEXTBOOK Knapp, A.W. with unit), other topics involve more original methods: interior multiplications allow COR – Cornerstones an effective treatment of deformations of Clifford algebras; the relations between “All together, this is another outstanding automorphisms of quadratic forms and textbook written by the renowned and 15 Algebra and Representation Theory

Clifford algebras are based on the concept Quaternions, Clifford T of the Lipschitz monoid, from which Algebras and Relativistic TEXTBOOK several groups are derived; and the Cartan- Chevalley theory of hyperbolic spaces Physics becomes much more general, precise and Girard, P.R.

effective. 2007. XII, 179 p. 2 illus. Softcover EUR 29.90 / USD 39.95 / CHF 49.90 2008. XIII, 504 p. Hardcover ISBN 978-3-7643-7790-8 EUR 89.90 / USD 129.– / CHF 139.– ISBN 978-3-7643-8605-4 The Geometry of the T TEXTBOOK Functional Identities Word Problem for Finitely Brešar, M. / Chebotar, M.A. / Generated Groups Martindale III, W.S. Brady, N. / Riley, T. / Short, H. FM – Frontiers in Mathematics Advanced Courses in Mathematics - CRM Barcelona 2007. 272 p. Softcover EUR 39.90 / USD 49.95 / CHF 65.– 2007. VII, 206 p. 68 illus. Softcover ISBN 978-3-7643-7795-3 EUR 29.95 / USD 49.95 / CHF 49.90 ISBN 978-3-7643-7949-0 T Algebra and Analysis for TEXTBOOK T Engineers and Scientists Introduction to Plane TEXTBOOK Michel, A.N. / Herget, C.J. Algebraic Curves Kunz, E. “The authors present topics in algebra and analysis for students in engineering and 2005. XII, 293 p. 52 illus. Softcover EUR 54.95 / USD 74.95 / CHF 85.50 science … Each chapter is organized to ISBN 978-0-8176-4381-2 include a brief overview, detailed topical discussions and references for further study. Notes about the references guide the student Artinian Modules over to collateral reading. Theorems, definitions, Group Rings and corollaries are illustrated with examples. Kurdachenko, L.A. / Otal, J.-P. / The student is encouraged to prove some Subbotin, I.Y. theorems and corollaries as models for proving others in exercises. In most FM – Frontiers in Mathematics

chapters, the authors discuss constructs 2007. XII, 247 p. Softcover used to illustrate examples of applications. EUR 44.95 / USD 69.95 / CHF 69.90 Discussions are tied together by frequent, ISBN 978-3-7643-7764-9 well written notes. The tables and index are good. The type faces are nicely chosen. Lifting Modules The text should prepare a student well in mathematical matters.” — Science Books Supplements and Projectivity in and Films Module Theory Clark, J. / Lomp, C. / Vanaja, N. / 2007. XIV, 486 p. 48 illus. Softcover EUR 39.95 / USD 54.95 / CHF 62.– Wisbauer, R. ISBN 978-0-8176-4706-3 FM – Frontiers in Mathematics

2006. XII, 394 p. Softcover EUR 49.95 / USD 69.95 / CHF 79.90 ISBN 978-3-7643-7572-0

16 Algebra and Representation Theory

103 Trigonometry Problems T industrial scientists. … The primary purpose of the book is to give a careful presentation From the Training of TEXTBOOK of the basic concepts of linear algebra the USA IMO Team as a coherent part of mathematics, and Andreescu, T. / Feng, Z. to illustrate its power and utility through applications of other disciplines.” — “The title of this book already says everything Educational Book Review about the content: 103 trigonometry problems that were given in the training and 2nd ed. 2004. XIV, 390 p. 40 illus. Softcover EUR 49.95 / USD 69.95 / CHF 77.50 testing of the US International Mathematical ISBN 978-0-8176-4294-5 Olympiad team are presented along with their solutions. … The presentation is clear, accurate and extensive. For these Subgroup Growth reasons the book is very easy to read and Lubotzky, A. / Segal, D. leads the reader to astonishing insights in an elementary field of mathematics. It is PM – Progress in Mathematics, Vol. 212 therefore also very appropriate as a 2003. XXII, 454 p. Hardcover textbook …” — Monatshefte für EUR 99.– / USD 149.– / CHF 169.– Mathematik ISBN 978-3-7643-6989-7 2005. XII, 214 p. Softcover T EUR 36.95 / USD 49.95 / CHF 57.50 Linear Algebra ISBN 978-0-8176-4334-8 TEXTBOOK A Pure Mathematical Approach Rose, H.E. Polynomial Identity Rings Drensky, V. / Formanek, E. “Rose’s Linear Algebra is a highly sophisticated undergraduate work … This Advanced Courses in Mathematics - CRM book would be excellent for mathematics Barcelona majors or for non-majors with access to a second course in which applications were “The book under review consists of two presented. Summing Up: Recommended for excellent monographs on the PI-theory by lower- and upper-division undergraduates.” two leading researchers, V. Drensky and E. — Choice Formanek … In summary, both expositions are very well written, and the book is 2002. XIV, 250 p. Softcover recommended both for graduate students EUR 24.95 / USD 39.95 / CHF 39.90 ISBN 978-3-7643-6792-3 and researchers.” — Mathematical Reviews

2004. VI, 200 p. Softcover T EUR 29.90 / USD 39.95 / CHF 49.90 Algebra TEXTBOOK ISBN 978-3-7643-7126-5 Gelfand, I.M. / Shen, A.

T 1st ed. 1993. 4th printing Linear Algebra 2nd 1993. X, 150 p. 27 illus. Softcover Edition TEXTBOOK EUR 24.95 / USD 32.95 / CHF 39.– Kwak, J.H. / Hong, S. ISBN 978-0-8176-3677-7

“As linear algebra is one of the most important subjects in the study of science and engineering because of widespread applications ... this book covers one of the most useful courses in undergraduate mathematics, providing essential tooks for

17 Geometry / Topology

TEXTBOOK draft

Conformal Differential Geometry Fourier–Mukai and Nahm Baum, H. / Juhl, A. Transforms in Geometry and Humboldt-Universität Berlin, Germany Mathematical Physics OWS – Oberwolfach Seminars Bartocci, C., Università degli Studi di Genova, Italy / Bruzzo, U., SISSA, Trieste, Due in Winter 2009 Italy / Hernández Ruipérez, D., Universidad de Salamanca, Spain Conformal invariants (conformally invariant tensors, conformally covariant PM – Progress in Mathematics, Vol. 276 differential operators, conformal holonomy groups etc.) are of central significance in Integral transforms, such as the Laplace differential geometry and physics. Well- and Fourier transforms, have been major known examples of such operators are the tools in mathematics for at least two Yamabe-, the Paneitz-, the Dirac- and the centuries. In the last three decades the twistor operator. The aim of the seminar development of a number of novel ideas was to present the basic ideas and some in algebraic geometry, category theory, of the recent developments around gauge theory, and string theory has been Q-curvature and conformal holonomy. The closely related to generalizations of integral part on Q-curvature discusses its origin, transforms of a more geometric character. its relevance in geometry, spectral theory Fourier–Mukai and Nahm Transforms and physics. Here the influence of ideas in Geometry and Mathematical Physics which have their origin in the AdS/CFT- examines the algebro-geometric approach correspondence becomes visible. (Fourier–Mukai functors) as well as the differential-geometric constructions (Nahm). The part on conformal holonomy describes Also included is a considerable amount of recent classification results, its relation to material from existing literature which has Einstein metrics and to conformal Killing not been systematically organized into a spinors, and related special geometries. monograph. Key features: * Basic constructions and definitions are 2010. Approx. 100 p. Softcover presented in preliminary background EUR 19.95 /USD 29.95 / CHF 34.90 ISBN 978-3-7643-9908-5 chapters * Presentation explores applications and suggests several open questions * Extensive bibliography and index

2009. XVI, 418 p. 83 illus. Hardcover EUR 89.95 / USD 119.– / CHF 149.50 ISBN 978-0-8176-3246-5

18 Geometry / Topology

TEXTBOOK

Second Edition

Families of Tropical Algebraic Geometry Conformally Covariant Itenberg, I., Université Louis Pasteur, Differential Operators, Strasbourg, France / Mikhalkin, G., Q-Curvature and Holography University of Toronto, ON, Canada / Shustin, E., Tel Aviv University, Israel Juhl, A., Humboldt-Universität Berlin, Germany OWS – Oberwolfach Seminars, Vol. 35

PM – Progress in Mathematics, Vol. 275 Tropical geometry is algebraic geometry over the semifield of tropical numbers, i.e., the The central object of the book is real numbers and negative infinity enhanced Q-curvature. This important and subtle with the (max,+)-arithmetics. Geometrically, scalar Riemannian curvature quantity was tropical varieties are much simpler than introduced by Tom Branson about 15 year their classical counterparts. Yet they ago in connection with variational formulas carry information about complex and real for determinants of conformally covariant varieties. differential operators. The book studies structural properties of Q-curvature from These notes present an introduction an extrinsic point of view by regarding it as to tropical geometry and contain some a derived quantity of certain conformally applications of this rapidly developing covariant families of differential operators and attractive subject. It consists of three which are associated to hypersurfaces. chapters which complete each other and The new approach is at the cutting edge give a possibility for non-specialists to of central developments in conformal make the first steps in the subject which is differential geometry in the last two decades not yet well represented in the literature. (Fefferman-Graham ambient metrics, The intended audience is graduate, post- spectral theory on Poincaré-Einstein spaces, graduate, and Ph.D. students as well as tractor calculus, Verma modules and established researchers in mathematics. Cartan geometry). The theory of conformally covariant families is inspired by the idea 2nd ed. 2009. VIII, 104 p. 30 illus. Softcover of holography in the AdS/CFT-duality. EUR 19.90 / USD 29.95 / CHF 34.90 ISBN 978-3-0346-0047-7 Among other things, it naturally leads to a holographic description of Q-curvature. The methods admit generalizations in various directions.

2009. Approx. 505 p. Hardcover EUR 89.95 / USD 119.– / CHF 159.– ISBN 978-3-7643-9899-6

See also page 90.

88 Mathematical Physics / Physics

Quantum Gases in Quasi-One-Dimensional Arrays Bakhtiari, M.R., University of Jyväskylä, Finland Publications of the Scuola Normale Superiore, Theses Vol. 5

The experimental achievement of Bose- Einstein condensation (1995) and of Fermi Intermediate Spectral Theory and degeneracy (1999) in ultra-cold, dilute Quantum Dynamics gases has opened a new field in atomic de Oliveira, C.R., Federal University of São physics and condensed matter physics. In Carlos, Brazil this thesis, first we present an overview of theoretical and experimental facts on PMP – Progress in Mathematical Physics, ultra-cold atomic gases. We then describe a Vol. 54 Green’s function scheme to study coherent transport by fermions through a one- The spectral theory of linear operators plays dimensional array of potential wells. Within a key role in the mathematical formulation this scheme different geometries for the of quantum theory. Furthermore, such a array like single-period, double-period and rigorous mathematical foundation leads to Fibonacci-ordered quasi-periodic array, a more profound insight into the nature of will be considered. In continue a novel quantum mechanics. This textbook provides spin-density-functional approach will be a concise and comprehensible introduction introduced to study the ground-state of to the spectral theory of (unbounded) self- a one-dimensional trapped Fermi gases adjoint operators and its application in inside one-dimensional optical lattices. This quantum dynamics. approach enables us to investigate both The book places emphasis on the symbiotic repulsive and attractive Fermi gases within relationship of these two domains by a local-spin-density approximation. We (1) presenting the basic mathematics of analyze different phases caused by spin- nonrelativistic quantum mechanics of dependent trap for repulsive gas and also by one particle, i.e., developing the spectral spin-imbalanced population for attractive theory of self-adjoint operators in infinite- gas. dimensional Hilbert spaces from the beginning, and (2) giving an overview of many 2008. XVI, 168 p. Softcover of the basic functional aspects of quantum EUR 18.– / USD 29.95 / CHF 30.– ISBN 978-88-7642-319-2 theory, from its physical principles to the mathematical models. T The book is intended for graduate (or Lectures on the TEXTBOOK advanced undergraduate) students and ElectroWeak Interactions researchers interested in mathematical Barbieri, R. physics. It starts with linear operator theory, spectral questions and self-adjointness, and Publications of the Scuola Normale ends with the effect of spectral type on the Superiore, Lecture Notes Vol. 5 large time behaviour of quantum systems. 2007. XII, 84 p. Softcover Many examples and exercises are included EUR 17.– / USD 22.95 / CHF 28.– that focus on quantum mechanics. ISBN 978-88-7642-311-6

2009. XIII, 410 p. Hardcover EUR 49.90 / USD 69.95 / CHF 89.90 ISBN 978-3-7643-8794-5 89 Mathematical Physics / Physics

Quantum Spaces Quantum Gravity Poincaré Seminar 2007 Mathematical Models and Duplantier, B. / Rivasseau, V. (Eds) Experimental Bounds PMP – Progress in Mathematical Physics, Fauser, B. / Tolksdorf, J. / Zeidler, E. (Eds) Vol. 53 2007. XVI, 336 p. Hardcover EUR 89.90 / USD 119.– / CHF 149.– 2007. IX, 227 p. 33 illus. Hardcover ISBN 978-3-7643-7977-3 EUR 79.90 / USD 109.– / CHF 135.– ISBN 978-3-7643-8521-7 Rigorous Quantum Field Theory T Planar Ising Correlations A Festschrift for Jacques Bros TEXTBOOK Palmer, J. Boutet de Monvel, A. / Buchholz, D. / Iagolnitzer, D. / Moschella, U. (Eds) PMP – Progress in Mathematical Physics, Vol. 49 PM – Progress in Mathematics, Vol. 251

2007. XII, 372 p. 30 illus. Hardcover 2007. VI, 326 p. Hardcover EUR 79.95 / USD 109.– / CHF 124.50 EUR 69.95 / USD 99.– / CHF 109.– ISBN 978-0-8176-4248-8 ISBN 978-3-7643-7433-4

Gravitation and Experiment Quantum Decoherence Poincaré Seminar 2006 Poincaré Seminar 2005 Damour, T. / Duplantier, B. / Rivasseau, V. Duplantier, B. / Raimond, J.-M. / (Eds) Rivasseau, V. (Eds) PMP – Progress in Mathematical Physics, PMP – Progress in Mathematical Physics, Vol. 52 Vol. 48

2007. VII, 138 p. 35 illus. Hardcover 2007. VIII, 192 p. Hardcover EUR 79.90 / USD 109.– / CHF 135.– EUR 69.95 / USD 99.– / CHF 109.– ISBN 978-3-7643-8523-1 ISBN 978-3-7643-7807-3

T Molecular Gas Dynamics Continuum Mechanics TEXTBOOK Theory, Techniques, and Applications using Mathematica® Sone, Y. Fundamentals, Applications and MSSET – Modeling and Simulation in Scientific Computing Science, Engineering and Technology Romano, A. / Lancellotta, R. / Marasco, A. MSSET – Modeling and Simulation in “In this book the author presents a good Science, Engineering and Technology review of the theory and the modeling of molecular gas dynamics, together with “The book will be an invaluable reference for applications, based on his work with his all those with active interest in the areas of collaborators. This book is a good reference continuum mechanics and its fundamental for researchers interested in applications applications: balance laws, constitutive to kinetic theory and fluid dynamics.” — axioms, linear elasticity, fluid dynamics, Mathematical Reviews waves, etc. It may serve as a supplement 2007. XII, 658 p. 179 illus. Hardcover to any of the standard textbooks for EUR 98.– / USD 129.– / CHF 148.50 undergraduate students, graduate students, ISBN 978-0-8176-4345-4

90 Mathematical Physics / Physics

and researchers in applied mathematics, mathematical physics, and engineering.” — Zentralblatt Math

2006. XII, 388 p. 66 illus. With CD-ROM. Hardcover EUR 59.90 / USD 79.95 / CHF 105.– ISBN 978-0-8176-3240-3

The Mathematics of the T TEXTBOOK Bose Gas and its Condensation Lieb, E.H. / Seiringer, R. / Solovej, J.P. / Yngvason, J. OWS – Oberwolfach Seminars, Vol. 34

“The presentation provides significant insight into a large part of the current issues of interest in the physics of Bose systems and especially into the ‘kitchen’ of several relevant mathematical techniques. As such, it is highly recommended to both advanced researchers and students preparing to work in this field.” — Mathematical Reviews

2005. VIII, 208 p. Softcover EUR 34.95 / USD 49.95 / CHF 54.90 ISBN 978-3-7643-7336-8

Continuum T TEXTBOOK Thermomechanics Bermúdez de Castro, A. PMP – Progress in Mathematical Physics, Vol. 43

2005. XII, 209 p. Hardcover EUR 59.90 / USD 89.95 / CHF 105.– ISBN 978-3-7643-7265-1

Geometry of Yang-Mills fields Atiyah, M.F. Publications of the Scuola Normale Superiore, Lecture Notes

1979. 95 p. Softcover EUR 18.– / USD 24.95 / CHF 30.– ISBN 978-88-7642-303-1

91 Numerical and Computational Maths / Applications Mathematical Biology Hemodynamical Flows T Modeling, Analysis and TEXTBOOK Simulation Galdi, G.P., University of Pittsburgh, PA, USA / Rannacher, R., Universität Heidelberg, Germany / Robertson, A.M., University of Pittsburgh, PA, USA / Turek, S., Universität

draft Dortmund, Germany

An Introduction to Analysis, OWS – Oberwolfach Seminars, Vol. 37 Adaptivity and Multigrid for This book surveys results on the physical Variational Inequalities and mathematical modeling as well as the Brokate, M., TU München, Germany / numerical simulation of hemodynamical Carstensen, C., Humboldt Universität flows, i.e., of fluid and structural mechanical Berlin, Germany / Kornhuber, R., FU Berlin, processes occurring in the human blood Germany / Krause, R., Universität Bonn, circuit. The topics treated are continuum Germany mechanical description, choice of suitable liquid and wall models, mathematical OWS – Oberwolfach Seminars, Vol. 42 analysis of coupled models, numerical Due in Winter 2009 methods for flow simulation, parameter identification and model calibration, fluid- Variational inequalities provide the solid interaction, mathematical analysis mathematical framework for a variety of of piping systems, particle transport in nonlinear and non-smooth phenomena channels and pipes, artificial boundary in science and engineering. Efficient and conditions, and many more. Hemodynamics reliable solution procedures are closely is an area of active current research, and linked to the mathematics of function this book provides an entry into the field for spaces and partial differential equations. graduate students and researchers. It has grown out of a series of lectures given by The main subjects of this book are a the authors at the Oberwolfach Research posteriori error analysis and convergence Institute in November, 2005. of adaptive finite element methods, the 2008. XII, 501 p. Softcover treatment of multigrid methods and EUR 49.90 / USD 69.95 / CHF 65.– multilevel methods with solution-dependent ISBN 978-3-7643-7805-9 multilevel bases. The discussion is centered around some model obstacle and contact T problems and based upon introductory Generalized Collocation TEXTBOOK sections on the mathematics of variational Methods inequalities and on finite element Solutions to Nonlinear Problems discretisation including short MATLAB Bellomo, N. / Lods, B. / Revelli, R. / programs Ridolfi, L. 2009. Approx. 180 p. Softcover EUR 24.95 / USD 39.95 / CHF 39.90 MSSET – Modeling and Simulation in ISBN 978-3-0346-0068-2 Science, Engineering and Technology

“This book is concerned with the solution of initial-boundary partial differential equations using the generalised collocation method.

92 Numerical and Computational Maths / Applications

Most of the book describes examples of how Mathematical Methods in the method works for a range of examples. It Biomedical Imaging and Intensity- is aimed primarily at engineering students. The book starts by looking at general Modulated Radiation Therapy considerations of mathematical modelling (IMRT) and discusses dimensional analysis.” — Censor, Y., University of Haifa, Israel / Mathematical Reviews Jiang, M., Peking University, Beijing, China / Louis, A.K., Universität des Saarlandes, 2008. XII, 196 p. 62 illus. Hardcover Saarbrücken, Germany (Eds) EUR 59.90 / USD 69.95 / CHF 105.– ISBN 978-0-8176-4525-0 Publications of the Scuola Normale Superiore, CRM Series Vol. 7 Selected Topics in Cancer Modeling This book consists of research and review papers by leading experts and practitioners Genesis, Evolution, Immune in biomedical imaging and intensity- Competition, and Therapy modulated radiation therapy (IMRT). The Bellomo, N., Politecnico di Torino, Italy / topics include mathematical aspects and Chaplain, M., University of Dundee, practical problems in current major and Scotland / De Angelis, E., Politecnico di emerging technologies for the diagnostic Torino, Italy (Eds) and therapeutic medicine and biology research. The contributed work signifies MSSET – Modeling and Simulation in the interdisciplinary cooperation between Science, Engineering and Technology mathematicians and scientists from medical physics, engineering, clinical medicine and Written by first-rate researchers in the field biology, that leads to mathematically-based of mathematical biology, this collection of better solutions of practical problems in selected chapters offers a comprehensive biomedical imaging and IMRT. This book overview of state-of-the-art mathematical is also a survey of important research methods and tools for modeling and directions and opportunities in mathematics analyzing cancer phenomena. The book has induced by problems in biomedical imaging an overall aim of quantitative, predictive and radiation planning applications. mathematical modeling of solid tumor growth at all scales, from genetics all 2008. XX, 526 p. Softcover EUR 30.– / USD 39.95 / CHF 52.– the way through to treatment therapy for ISBN 978-88-7642-314-7 patients. Topics covered include: genetic and epigenetic pathways to colon cancer; Modeling Complex Living Systems nonlinear modeling and simulation of A Kinetic Theory and Stochastic Game tumor growth; modeling diffusely invading Approach brain tumors; mathematical modeling of breast carcinogenesis; predictive Bellomo, N. models in tumor immunology; multiscale MSSET – Modeling and Simulation in modeling of solid tumor growth. Selected Science, Engineering and Technology Topics in Cancer Modeling is an excellent reference for researchers, practitioners, and “This nicely written book promotes the idea graduate students in applied mathematics, that the methods employed for modeling mathematical biology, and related fields. living systems may significantly differ from

2008. XVI, 473 p. 140 illus. Hardcover the techniques used for analyzing inert EUR 79.90 / USD 99.– / CHF 139.– matter. … This text, carefully written by ISBN 978-0-8176-4712-4

93 Numerical and Computational Maths / Applications

a well-known expert, explains broad and Mathematical Modeling of profound applications of a new approach Biological Systems, Volume II to modeling of nonlinear complex systems not only in the natural sciences, but also Epidemiology, Evolution and Ecology, in systems describing social, ecological, Immunology, Neural Systems and the and economic phenomena. It is a very Brain, and Innovative Mathematical useful reference for anyone interested in Methods mathematical modeling of complex systems.” Deutsch, A. / Bravo de la Parra, R. / — Zentralblatt Math de Boer, R.J. / Diekmann, O. / Jagers, P. / 2008. XII, 220 p. 37 illus. Hardcover Kisdi, E. / Kretzschmar, M. / Lansky, P. / EUR 54.90 / USD 69.95 / CHF 95.– Metz, H. (Eds) ISBN 978-0-8176-4510-6 MSSET – Modeling and Simulation in Science, Engineering and Technology Mathematical Modeling of 2008. XVIII, 390 p. 119 illus. Hardcover Biological Systems, Volume I EUR 89.90 / USD 109.– / CHF 149.– ISBN 978-0-8176-4555-7 Cellular Biophysics, Regulatory Networks, Development, Biomedicine, and Data Analysis Modeling of Biological Materials Deutsch, A. / Brusch, L. / Byrne, H. / de Mollica, F. / Preziosi, L. / Rajagopal, K.R. Vries, G. / Herzel, H. (Eds) (Eds) MSSET – Modeling and Simulation in MSSET – Modeling and Simulation in Science, Engineering and Technology Science, Engineering and Technology

2007. XV, 357 p. 71 illus. Hardcover “[This book] has thirty-two papers EUR 74.95 / USD 99.– / CHF 116.50 that address topics in five broad areas: ISBN 978-0-8176-4410-9 cellular biophysics, regulatory networks, development, biomedical applications and Transport Equations in Biology data analysis. …A general theme is the Perthame, B. progression in each application area from experimental research to mathematical FM – Frontiers in Mathematics modeling, from there to construction of a more abstract mathematical framework 2007. VIII, 198 p. 28 illus. Softcover EUR 39.90 / USD 59.95 / CHF 69.90 and thence to new biological hypotheses. ISBN 978-3-7643-7841-7 Desirable tools are efficient algorithms for complex computations and visualization, especially in the areas of molecular biology Transport Phenomena and Kinetic and genetics. …This is a volume directed Theory at specialists, but it is possible to find Applications to Gases, Semiconductors, one’s way to interesting results without too much specialized knowledge. The range of Photons, and Biological Systems applications is enormous, and this is just Cercignani, C. / Gabetta, E. (Eds) Volume 1. Topics addressed in Volume 2 MSSET – Modeling and Simulation in include epidemiology, immunology, evolution Science, Engineering and Technology and ecology.” — MAA Reviews

2007. XVIII, 382 p. 120 illus. Hardcover “In this collection of articles by experts EUR 89.95 / USD 119.– / CHF 140.– in the field the reader is given a rather ISBN 978-0-8176-4557-1 comprehensive overview of many of the

94 Numerical and Computational Maths / Applications Mathematical Finance mathematical aspects and applications of the Boltzmann equation … intended for scientists and engineers in the applied sciences, my own feeling is that investigators whose acquaintance with mathematics is at an advanced level are likely to be the main beneficiaries of this book. The presentation of the material is excellent, very well organized, and highly recommended to this audience.” —Journal of Statistical Physics Advances in 2007. XIII, 271 p. 26 illus. Hardcover EUR 68.– / USD 89.95 / CHF 103.50 Dynamic Games and ISBN 978-0-8176-4489-5 Their Applications Analytical and Numerical Mathematical Modeling of Developments Complex Biological Systems Bernhard, P., Polytech’Nice-Sophia, Sophia A Kinetic Theory Approach Antipolis, France / Gaitsgory, V., University of South Australia, Mawson Lakes, SA, Bellouquid, A. / Delitala, M. Australia / Pourtallier, O., INRIA, Sophia MSSET – Modeling and Simulation in Antipolis, France (Eds) Science, Engineering and Technology AISDG – Annals of the International Society of Dynamic Games, Vol. 10 “The focus of the book is the development of this new mathematical framework, and This book presents current advances in an application to modeling the immune the theory of dynamic games and their response, particularly interactions between applications in several disciplines. The cancer cells and immune cells, is considered selected contributions cover a variety of in detail. The model involves integro- topics ranging from purely theoretical differential evolution equations. Much of developments in game theory, to numerical the book is devoted to obtaining asymptotic analysis of various dynamic games, and solutions as well as numerical solutions of then progressing to applications of dynamic the model system.” — MathSciNet games in economics, finance, and energy 2006. X, 188 p. 47 illus. Hardcover supply. EUR 66.95 / USD 89.95 / CHF 104.– ISBN 978-0-8176-4395-9 Thematically organized into eight parts, the book covers key topics in these main areas: theoretical developments in general dynamic and differential games, pursuit-evasion games, numerical approaches to dynamic and differential games, applications of dynamic games in economics and option pricing, search games, evolutionary games, stopping games, and stochastic games and “large neighborhood” games.

2009. XIV, 462 p. 94 illus., 9 in color. Hardcover EUR 119.– / USD 149.– / CHF 209.– ISBN 978-0-8176-4833-6

95 Numerical and Computational Maths / Applications Numerical-Computational Maths Advances in Mathematical Finance Fu, M.C. / Jarrow, R.A. / Yen, J.-Y.J. / Elliott, R.J. (Eds) ANHA – Applied and Numerical Harmonic Analysis

2007. XXVIII, 340 p. 41 illus. Hardcover EUR 66.95 / USD 89.95 / CHF 104.– ISBN 978-0-8176-4544-1 Numerical Methods for Structured Matrices Handbook of Computational and and Applications Numerical Methods in Finance The Georg Heinig Memorial Volume Rachev, S.T. (Ed.) Bini, D.A., Università di Pisa, Italia / 2004. VI, 435 p. 15 illus. Hardcover Mehrmann, V., TU Berlin, Germany / EUR 74.95 / USD 99.– / CHF 116.50 Olshevsky, V., University of Connecticut, ISBN 978-0-8176-3219-9 Storrs, CT, USA / Tyrtsyhnikov, E., Russian Academy of Sciences, Moskow, Russia / Mathematical Finance and T van Barel, M., Katholieke Universiteit TEXTBOOK Probability Leuven, Belgium (Eds) Koch Medina, P. / Merino, S. OT – Operator Theory: Advances and Applications, Vol. 199 “This is probably the best written book on Due in September 2009 discrete-time models of mathematical finance. It is self consistent, all notions This cross-disciplinary volume brings used in it are carefully defined. That is a together theoretical mathematicians, mathematical book - by mathematicians engineers and numerical analysts and and for mathematicians, which also means publishes surveys and research articles that its practical applications are restricted. related to the topics where Georg Heinig The bibliography is complete. I strongly had made outstanding achievements. recommend that title as an introduction In particular, this includes contributions to mathematical finance.” — Control and from the fields of structured matrices, fast Cybernetics algorithms, operator theory, and applications 2003. VIII, 328 p. Softcover to system theory and signal processing. EUR 44.90 / USD 69.95 / CHF 75.– ISBN 978-3-7643-6921-7 2009. Approx. 400 p. Hardcover EUR 149.– / USD 199.– / CHF 259.– ISBN 978-3-7643-8995-6

96 Numerical and Computational Maths / Applications

Handbook of Floating-Point

Arithmetic draft

Handbook of Floating-Point Data Modeling for Metrology and Arithmetic Testing in Measurement Science Muller, J.-M. / Brisebarre, N. / Pavese, F., Istituto Nazionale di Ricerca de Dinechin, F. / Jeannerod, C.-P. / Metrologica, Torino, Italy / Forbes, A.B., Vincent, L. / Melquiond, G. / Revol, N. / National Physical Laboratory, Middlesex, UK Stehlé, D. / Torres, S. (Eds) École Normale Supérieure de Lyon, France MSSET – Modeling and Simulation in Due in September 2009 Science, Engineering and Technology

This handbook aims to provide a This book and companion DVD provide a complete overview of modern floating- comprehensive set of modeling methods point arithmetic, including a detailed for data and uncertainty analysis, taking treatment of the current (IEEE-754) and readers beyond mainstream methods next (preliminarily called IEEE-754R) described in standard texts. The emphasis standards for floating-point arithmetic. throughout is on various techniques having a Presented throughout are algorithms for broad range of real-world applications. implementing floating-point arithmetic as well as algorithms that use floating- Developed in the work are methods and point arithmetic. So that the techniques computational tools to address general presented can directly be put into models that arise in practice, allowing for a practice in actual coding or design, they more valid treatment of calibration and test are illustrated, whenever possible, by a data. The companion DVD contains tutorials, corresponding program in C. Key topics sample code, and software packages with and features include a presentation of the demonstrations, enabling readers to test history and basic concepts of floating- and use tools presented in the book. point arithmetic; a development of smart and nontrivial algorithms, and algorithmic The book may be used as a textbook in possibilities induced by the availability graduate courses on data modeling and of a fused multiply-add (fma) instruction; computational methods, or as a training implementation of floating-point arithmetic manual in the fields of calibration and either in software (on an integer processor) testing. The work may also serve as a or hardware, and a discussion of issues reference for metrologists, mathematicians, related to compilers and languages; statisticians, software engineers, chemists, coverage of several recent advances related and other practitioners with a general to elementary functions; and extensions interest in measurement science. of floating-point arithmetic such as 2009. XVII, 489 p. 111 illus. With DVD. Hardcover certification, verification, and precision. EUR 84.90 / USD 109.– / CHF 149.– ISBN 978-0-8176-4592-2 2009. Approx. 600 p. 100 illus. Hardcover Approx. EUR 66.95 / USD 89.95 / CHF 149.50 ISBN 978-0-8176-4704-9 97 Numerical and Computational Maths / Applications

TEXTBOOK

Numerical Solutions of Inequalities and Applications Partial Differential Conference on Inequalities and Equations Applications, Noszvaj (Hungary), Bertoluzza, S., CNR, Pavia, Italy / September 2007 Falletta, S., Politecnico di Torino, Italy / Bandle, C., Universität Basel, Switzerland / Russo, G., University of Catania, Italy / Gilányi, A., University of Debrecen, Hungary / Shu, C.-W., Brown University, Providence, RI, Losonczi, L., University of Debrecen, USA Hungary / Páles, Z., University of Debrecen, Advanced Courses in Mathematics - CRM Hungary / Plum, M., Universität Karlsruhe, Barcelona Germany (Eds) ISNM – International Series of Numerical This volume offers researchers the Mathematics, Vol. 157 opportunity to catch up with important developments in the field of numerical Inequalities continue to play an essential analysis and scientific computing and to role in mathematics. Perhaps, they form get in touch with state-of-the-art numerical the last field comprehended and used by techniques. mathematicians in all areas of the discipline. The book has three parts. The first one is Since the seminal work Inequalities devoted to the use of wavelets to derive (1934) by Hardy, Littlewood and Pólya, some new approaches in the numerical mathematicians have laboured to extend solution of PDEs, showing in particular and sharpen their classical inequalities. how the possibility of writing equivalent This volume contains the contributions norms for the scale of Besov spaces of the participants of the Conference on allows to develop some new methods. The Inequalities and Applications held in Noszvaj second part provides an overview of the (Hungary) in September 2007. It is conceived modern finite-volume and finite-difference in the spirit of the preceding volumes of shock-capturing schemes for systems the General Inequalities meetings held in of conservation and balance laws, with Oberwolfach from 1976 to 1995 in the sense emphasis on providing a unified view of that it not only contains the latest results such schemes by identifying the essential presented by the participants, but it is also a aspects of their construction. In the last useful reference book for both lecturers and part a general introduction is given to the research workers. The contributions reflect discontinuous Galerkin methods for solving the ramification of general inequalities some classes of PDEs, discussing cell into many areas of mathematics and also entropy inequalities, nonlinear stability and present a synthesis of results in both theory error estimates. and practice. 2009. VIII, 201 p. Softcover 2009. XLVIII, 315 p. 7 illus. in color. Hardcover EUR 29.90 / USD 49.95 / CHF 49.90 EUR 89.90 / USD 129.– / CHF 159.– ISBN 978-3-7643-8939-0 ISBN 978-3-7643-8772-3

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Elementary Functions T An Introduction to Wavelet T Algorithms and TEXTBOOK Analysis TEXTBOOK Implementation Walnut, D.F. 2nd Muller, J.-M. Edition ANHA – Applied and Numerical Harmonic

2nd ed. 2006. XXII, 266 p. 36 illus. Hardcover Analysis EUR 49.95 / USD 59.95 / CHF 69.– ISBN 978-0-8176-4372-0 “D. Walnut’s lovely book aims at the upper undergraduate level, and so it includes Perturbation Methods and relatively more preliminary material … than n is typically the case in a graduate text. It Semilinear Elliptic Problems on R goes from Haar systems to multiresolutions, Ambrosetti, A. / Malchiodi, A. and then the discrete wavelet transform. PM – Progress in Mathematics, Vol. 240 …The applications to image compression are wonderful, and the best I have seen in 2006. IX, 183 p. Hardcover books at this level. I also found the analysis EUR 49.95 / USD 69.95 / CHF 79.90 ISBN 978-3-7643-7321-4 of the best choice of basis, and wavelet packet, especially attractive. The later chapters include MATLAB codes. Highly T Applied Laplace Transforms recommended!” — Bulletin of the AMS TEXTBOOK and z-Transforms for 2001. XII, 452 p. 90 illus. Hardcover Scientists and Engineers EUR 54.90 / USD 69.95 / CHF 95.– ISBN 978-0-8176-3962-4 A Computational Approach Using a Mathematica Package T A Crash Course in Graf, U. TEXTBOOK Mathematica “This book is a very good tool for scientists Kaufmann, S. and engineers that work in the fields 1999. 200 p. Softcover of applications, especially on practical EUR 29.– / USD 44.95 / CHF 46.– problems leading to ordinary differential ISBN 978-3-7643-6127-3 equations which could be solved through Laplace transformation.” — Zentralblatt T Discovering Mathematics Math TEXTBOOK with Maple 2004. X, 500 p. With CD-ROM. Hardcover EUR 99.– / USD 139.– / CHF 159.– An Interactive Exploration for ISBN 978-3-7643-2427-8 Mathematicians, Engineers and Econometricians T Methods of Applied Stroeker, R.J. / Kaashoek, J.F. TEXTBOOK Mathematics with a MATLAB Overview “This book distinguishes itself … [the] reader learns how to use MAPLE® by posing Davis, J.H. problems of strictly mathematical nature, ANHA – Applied and Numerical Harmonic and – as a result – the reader gets insight Analysis into the practical and theoretical framework mathematics … Highly recommended.” — 2004. XII, 721 p. 246 illus. Hardcover Simulation News Europe EUR 89.95 / USD 119.– / CHF 140.– ISBN 978-0-8176-4331-7 1999. With CD-ROM. Softcover EUR 44.95 / USD 69.95 / CHF 69.90 ISBN 978-3-7643-6091-7 99 Numerical and Computational Maths / Applications Engineering Numerical Analysis T T Gautschi, W. TEXTBOOK TEXTBOOK

1996. 524 p. Hardcover EUR 74.95 / USD 99.– / CHF 116.50 ISBN 978-0-8176-3895-5

Numerical Methods for T TEXTBOOK Conservation Laws LeVeque, R.J. 2nd Circuit Simulation Edition LM – Lectures in Mathematics. with SPICE OPUS ETH Zürich Theory and Practice Tuma, T. / Burmen, Á. “The computing community needs a good text University of Ljubljana, Slovenia on modern methods for conservation laws, and these notes provide an excellent start MSSET – Modeling and Simulation in on that text. Equally important, LeVeque’s Science, Engineering and Technology perspective and writing style make for wonderful reading and learning. (How often This book is the first complete guide to do we find important content and good analog circuit design using the circuit writing in one book?)” — SIAM Review simulator software package SPICE OPUS. Developed by the authors and used by 2nd ed. 1992. 214 p. Softcover EUR 24.90 / USD 37.95 / CHF 42.90 academics and industry professionals ISBN 978-3-7643-2723-1 worldwide, SPICE OPUS is an improved version of the well-known University of California at Berkeley circuit simulator SPICE3 that has been freely available online since 2000. Aimed at novices as well as professional circuit designers, the book is a unique combination of a basic guide to general analog circuit simulation and a SPICE OPUS software manual. All simulations as well as the free simulator software may be directly downloaded from the SPICE OPUS homepage: www.spiceopus.si. The book is divided into three parts: mathematical theory of circuit analysis, a crash course in SPICE OPUS, and a complete SPICE OPUS reference guide. Circuit Simulation with SPICE OPUS is intended for a wide audience of undergraduate and graduate students, researchers, and practitioners in electrical and systems engineering, circuit design, and simulation development.

2009. Approx. 480 p. 158 illus. Hardcover EUR 69.90 / USD 89.95 / CHF 125.– ISBN 978-0-8176-4866-4

100 Numerical and Computational Maths / Applications

Ideal Sequence Design in Time- Control and Optimization of Frequency Space Multiscale Process Systems Applications to Radar, Sonar, and Christofides, P.D., University of California, Communication Systems Los Angeles, USA / Armaou, A., Pennsylvania State University, University Park, PA, USA / An, M., deciBel Research, Inc., Huntsville, AL, Lou, Y., United Technologies Corporation, USA / Brodzik, A.K., The MITRE Corporation, Pomona, CA, USA / Varshney, A., Bedford, MA, USA / Tolimieri, R., Psypher, Westminster, CO, USA Inc., Huntsville, AL, USA Control Engineering ANHA – Applied and Numerical Harmonic Analysis This book – the first of its kind – presents general methods for feedback controller This book develops theory and algorithms synthesis and optimization of multiscale leading to systematic waveform design systems, illustrating their application to in time-frequency space. The key tool thin-film growth, sputtering processes, and employed in the work is the Zak transform, catalytic systems of industrial interest. which provides a two-dimensional image The authors demonstrate the advantages for sequences, the Fourier transform, of the methods presented for control and convolution, and correlation, and allows optimization through extensive simulations. for the design of sequences directly in Zak Included in the work are new techniques for space. feedback controller design and optimization of multiscale process systems that are Topics and features include a rigorous not included in other books. The book also mathematical development of the theory, contains a rich collection of new research illustrated by many examples; numerous topics and references to significant recent tables, which compare signal sets satisfying work. good correlation properties attainable by standard communication theory methods Control and Optimization of Multiscale versus Zak space methods; applications Process Systems requires basic knowledge in pulse radars and sonars, multibeam of differential equations, probability theory, radar and sonar imaging systems, remote and control theory, and is intended for dielectric material identification, and code researchers, graduate students, and process division multiple-access communication control engineers. systems; and a variety of mathematical and application-oriented open problems. 2009. XX, 232 p. 100 illus. Hardcover EUR 54.90 / USD 69.95 / CHF 95.– 2009. XII, 220 p. 81 illus. Hardcover ISBN 978-0-8176-4792-6 EUR 54.90 / USD 69.95 / CHF 95.– ISBN 978-0-8176-4737-7

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Discontinuous Control Systems Estimation and Control over Frequency-Domain Analysis and Design Communication Networks Boiko, I., University of Calgary, AB, Canada Matveev, A.S., University of Saint Petersburg, Russia / Savkin, A.V., University This book provides new insight on the of New South Wales, Sydney, NSW, Australia problem of closed-loop performance Control Engineering and oscillations in discontinuous control systems, covering the class of systems that Although there is an emerging literature on do not necessarily have low-pass filtering the topic, this is the first book that attempts properties. The author provides a practical, to present a systematic theory of estimation yet rigorous and exact approach to analysis and control over communication networks. and design of discontinuous control systems Using several selected problems of via application of a novel frequency-domain estimation and control over communication tool: the locus of a perturbed relay system networks, the authors present and prove (LPRS). a number of results concerning optimality, stability, and robustness having practical Presented are a number of practical significance for networked control system examples applying the theory to analysis design. In particular, various problems of and design of discontinuous control systems Kalman filtering, stabilization, and optimal from various branches of engineering, control over communication channels are including electro-mechanical systems, considered and solved. The results establish process control, and electronics. A few fundamental links among mathematical chapters of the book are devoted to control theory, Shannon information theory, frequency-domain theory of sliding mode and entropy theory of dynamical systems. control, which is presented as a special type of discontinuous control. This essentially self-contained monograph offers accessible mathematical models Discontinuous Control Systems is intended and results for advanced postgraduate for readers who have knowledge of linear students, researchers, and practitioners control theory and will be of interest to working in the areas of control engineering, graduate students, researchers, and communications, information theory, signal practicing engineers involved in systems processing, and applied mathematics. analysis and design. 2009. XIV, 533 p. 95 illus. Hardcover 2009. XIV, 212 p. 82 illus. Hardcover EUR 79.90 / USD 99.– / CHF 139.– EUR 69.90 / USD 89.95 / CHF 125.– ISBN 978-0-8176-4494-9 ISBN 978-0-8176-4752-0

102 Numerical and Computational Maths / Applications

An Introduction to the T presentation. This condensed book even has some introductory explanations of Mechanics of Fluids TEXTBOOK kinematics and nice details about modeling Truesdell, C. / Rajagopal, K.R., the planetary atmosphere or the Earth’s Texas A&M University, College Reprint gravitational field, which makes it self- Station, TX, USA contained. The approach followed in each MBC – Modern Birkhäuser Classics chapter is useful and direct with a list of objectives, many worked examples, 1st ed.1999. 2nd printing 2009. XIV, 277 p. Softcover exercises and a final summary. Another EUR 34.90 / USD 39.95 / CHF 59.90 interesting fact is that the book contains the ISBN 978-0-8176-4845-9 implementation of the computations, in the way suggested by the author, using MATLAB T code. This provides a distinct interpretation A Linear Systems Primer TEXTBOOK of formulae; moreover, it is not an obstruction Antsaklis, P.J. / Michel, A.N. for non-MATLAB users since the code is easy and easily movable to other programming “This is a textbook introduction to system languages.” — Mathematical Reviews theory and linear systems control, for a one-semester course at the first-year 2007. XX, 556 p. 207 illus. Softcover graduate level … This primer is aimed EUR 52.– / USD 59.95 / CHF 69.– ISBN 978-0-8176-4373-7 essentially at course use, with an emphasis on key results and essential theory. … Each T chapter ends with a useful ‘summary and A Software-Defined GPS TEXTBOOK highlights’ section and well-documented and Galileo Receiver historical notes pointing back to the technical literature.” — Mathematical Reviews A Single-Frequency Approach Borre, K. / Akos, D.M. / Bertelsen, N. / 2007. XVI, 520 p. 61 illus. Softcover Rinder, P. / Jensen, S.H. EUR 49.95 / USD 59.95 / CHF 69.– ISBN 978-0-8176-4460-4 ANHA – Applied and Numerical Harmonic Analysis Atmospheric and Space T TEXTBOOK “This excellent book will give you the Flight Dynamics mathematical fundamentals for software- Modeling and Simulation with based GPS as well as the source code on MATLAB® and Simulink® DVD. The included MATLAB source code Tewari, A. can be used to crunch the collected data to solve for position. This low level processing “This book combines in a unified presentation gives the user a keen insight into the signal both atmospheric and space flight dynamics processing of a GPS receiver. The provided in an introductory but rather broad level. algorithms encourage user modification The approach followed is very interesting to attempt to improved and design next and is well-suited to either teaching generation GPS receivers.” — SparkFun undergraduate students or complementing Electronics first-year graduate students. In fifteen 2007. XXI, 176 p. 98 illus. With DVD. Softcover chapters, topics like orbital mechanics, EUR 69.90 / USD 79.95 / CHF 92.– including some perturbations and details ISBN 978-0-8176-4390-4 about the restricted three-body problem, rocket propulsion, atmospheric and transatmospheric trajectories, attitude and control are considered in a clear 103 Numerical and Computational Maths / Applications

Fuzzy Modeling and T is an excellent textbook for undergraduate, graduate, and doctoral students of Fuzzy Control TEXTBOOK mechanical engineering, industrial physics Zhang, H. / Liu, D. and robotics; it may also be recommended Control Engineering as a reference text for researchers in these areas.” — Mathematical Reviews “Of the books on fuzzy control I have had 2006. XVIII, 686 p. 216 illus. Hardcover a chance to study, this one ranks among EUR 104.95 / USD 139.– / CHF 163.– the best. It can be recommended as a ISBN 978-0-8176-4236-5 textbook for an advanced course in fuzzy control. Moreover, researchers as well as practitioners in the field of control will Handbook of Networked and definitely profit from the book.” Embedded Control Systems — SIAM Review Hristu-Varsakelis, D. / Levine, W.S. (Eds)

2006. XIII, 416 p. 161 illus. Hardcover Control Engineering EUR 74.95 / USD 89.95 / CHF 103.50 ISBN 978-0-8176-4491-8 1st ed. 2005. Corr. 2nd printing 2008. X, 822 p. 256 illus. Hardcover EUR 74.95 / USD 99.– / CHF 116.50 Linear Systems T ISBN 978-0-8176-3239-7 TEXTBOOK Antsaklis, P.J. / Michel, A.N.

2nd PID Controllers for Time-Delay “There are three words that Edition Systems characterize this work: Silva, G.J. / Datta, A. / Bhattacharyya, S. P. thoroughness, completeness and clarity. The authors are congratulated for Control Engineering taking the time to write an excellent linear systems textbook!” — IEEE Transactions on 2005. XII, 330 p. 137 illus. Hardcover EUR 74.95 / USD 99.– / CHF 116.50 Automatic Control ISBN 978-0-8176-4266-2

1st ed. 1997. Corr. 2nd printing 2006. XVIII, 670 p. 85 illus. Hardcover EUR 74.95 / USD 89.95 / CHF 103.50 Stability of Time-Delay Systems ISBN 978-0-8176-4434-5 Gu, K. / Kharitonov, V.L. / Chen, J. T Control Engineering Fundamentals of Multibody TEXTBOOK 2003. XXII, 354 p. 16 illus. Hardcover Dynamics EUR 74.95 / USD 99.– / CHF 116.50 Theory and Applications ISBN 978-0-8176-4212-9 Amirouche, F. Foundations of Time-Frequency “This textbook offers a comprehensive Analysis exposition of contemporary multibody Gröchenig, K. dynamics elaborated by an expert in and an experienced teacher of the field. There are ANHA – Applied and Numerical Harmonic five features that distinguish this publication: Analysis comprehensivity, orientation towards 2001. XV, 359 p. 14 illus. Hardcover computer implementation, utilization of EUR 74.95 / USD 89.95 / CHF 103.50 matrix algebra, teaching-by-examples ISBN 978-0-8176-4022-4 methodology, and embedding in the author’s own research accomplishments. … [T]his

104 Numerical and Computational Maths / Applications Computer Science Autonomic New Systems Series

The Autonomic Systems series aims at Economic Models and Algorithms creating a platform of communication for Distributed Systems between universities and industry Neumann, D., Albert-Ludwigs-University by publishing research monographs, Freiburg, Germany / Baker, M., University of outstanding PhD theses, and peerreviewed Reading, UK / Altmann, J., Seoul National compiled contributions on the latest University, South Korea / Rana, O.F., Cardiff developments in the field. University, UK (Eds) It covers a broad range of topics from the ASYS – Autonomic Systems theory of autonomic systems that are Due in August 2009 researched by academia and industry. Hence, cutting-edge research, prototypical Distributed computing models for sharing case studies, as well as industrial resources such as Grids, Peer-to-Peer applications are in the focus of this series. systems, or voluntary computing are becoming Fast reviewing provides a most convenient increasingly popular. While there are some way to publish latest results in this rapid success stories such as PlanetLab, OneLab, moving research area. BitTorrent, and SETI@home, a widespread use of these technologies for business Series Editors: applications has not yet been achieved. In * Brazier, F.M.T. (VU University, Amsterdam, a business environment, mechanisms are The Netherlands) needed to provide incentives to potential users * Rana, O.F. (Cardiff University, Cardiff, UK) for participating sharing in such networks. * Strassner, J.C. (Waterford Institute of These mechanisms may range from simple Technology, Waterford, Ireland) non-monetary access rights to policies for sharing, to monetary payments. Although a Autonomic Clustering of few models for a framework of the notion Distributed Agents of a “Grid economy” have been discussed, none of these models has made it into Ogston, E. practice yet. This book attempts to fill this ASYS – Autonomic Systems gap by discussing the reasons and exploring new incentive mechanisms for distributed Due in Winter 2009 systems in collaborative environments. It 2009, Approx. 160 p., Softcover is the purpose of this book to discover new Approx. EUR 39.95 / USD 54.95 / CHF 69.90 avenues of research and amendments to ISBN 978-3-7643-9966-5 existing technologies, aiming at the successful deployment of commercial distributed systems.

2009. Approx. 350 p. Softcover Approx. EUR 64.95 / USD 89.95 / CHF 115.– ISBN 978-3-7643-8896-6 105 Numerical and Computational Maths / Applications

Emerging Web Services Advanced Agent-Based Technology Volume III Environmental Binder, W., University of Lugano, Management Systems Switzerland / Dustdar, S., TU Wien, Austria Cortés, U., Universitat Politècnica de (Eds) Catalunya, Barcelona, Spain / Poch, M., WSSAT – Whitestein Series in Software University of Girona, Spain (Eds) Agent Technologies and Autonomic WSSAT – Whitestein Series in Software Computing Agent Technologies and Autonomic Due in October 2009 Computing

This book contains a collection of selected Multi-agent Systems (MAS) are one of the and revised papers originally presented at most exciting research areas in Artificial the Workshop on Emerging Web Service Intelligence meanwhile Environmental Technology (WEWST’08) held in conjunction Studies is a research area of strategic with the 6th European Conference on Web interest. Both areas can provide society with Services (ECOWS’08) in November 2008 in solutions for many real applications, in order Dublin, Ireland. Acting as an extension to to use and protect the environment. Human the ECOWS conference, the main goal of activities imply intervention into nature, the WEWST workshop is serving as a forum but properly managed, these interventions for providing early exposure and much can not be only ecologically sound but also needed feedback to grow and establish favourable to the sustainable development original and emerging ideas within the of civilisation. The encounter between Web Services community. The wide variety these fields is a new challenge for many of tools, techniques, and technological researchers of both communities. solutions presented in WEWST share one This book presents a comprehensive common feature: they advance the current reference of state-of-the-art efforts. Web Services research in new directions Specifically, it presents current and by introducing new and sometimes future ways in which adaptive information controversial ideas into the field. technologies, techniques, protocols and architectures, such as software agent 2010. Approx. 200 p. Softcover technologies and multi-agent systems, can EUR 34.95 / USD 69.95 / CHF 59.90 ISBN 978-3-0346-0103-0 be used to support the development of real- world agent-based systems in the area of See also: e-Environment. Emerging Web Services Technology, Vol. II Page 107 2009. 171 p. Softcover EUR 39.90 / USD 59.95 / CHF 69.90 ISBN 978-3-7643-8897-3

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Linear Programming T the different agents can be seamlessly combined. Karloff, H. TEXTBOOK MBC – Modern Birkhäuser Classics 2008. XXVI, 362 p. Softcover EUR 44.90 / USD 69.95 / CHF 79.90 Reprint ISBN 978-3-7643-8574-3 1st ed.1991. 2nd printing 2009. VIII, 142 p. 6 illus. Softcover EUR 34.90 / USD 39.95 / CHF 59.90 ISBN 978-0-8176-4843-5 Emerging Web Services Technology, Volume II CASCOM: Intelligent Service Gschwind, T., IBM Research, Zurich, Coordination in the Semantic Switzerland / Pautasso, C., University of Lugano, Switzerland (Eds) Web Schumacher, M., Av. du Grammont, WSSAT – Whitestein Series in Software Lausanne, Switzerland / Helin, H., Agent Technologies and Autonomic TeliaSonera, Finland / Schuldt, H., Computing Universität Basel, Switzerland (Eds) This book contains a collection of selected WSSAT – Whitestein Series in Software and revised papers originally presented at Agent Technologies and Autonomic the Workshop on Emerging Web Service Computing Technology (WEWST’07) held in conjunction with the 5th European Conference on Web A general architecture for service delivery Services (ECOWS’07) in November 2007 in and coordination in intelligent agent-based Halle (Saale), Germany. Acting as the natural peer-to-peer (IP2P) environments, that extension to the main ECOWS conference, has been developed within the CASCOM the main goal of the WEWST workshop research project, is presented in this book. is serving as a forum for providing early The CASCOM architecture provides support exposure and much needed feedback to for business services for mobile workers and grow and establish original and emerging users across mobile and fixed networks. To ideas within the Web Services community. its users, the CASCOM architecture makes The wide variety of tools, techniques and easy and seamless access available to technological solutions presented in Semantic Web Services anytime, anywhere, WEWST share one common feature: they and using any device. The system has advance the current Web services research successfully been validated in trials in in new directions by introducing new and healthcare applications, in particular in sometimes controversial ideas into the field. emergency medical assistance. The CASCOM architecture addresses the 2008. VI, 185 p. Softcover EUR 34.90 / USD 49.95 / CHF 59.90 problem of seamlessly combining various ISBN 978-3-7643-8863-8 novel technologies that establish the basis for self-adaptable and self-healing systems including semantic service Issues in Multi-Agent Systems discovery, matchmaking, composition The AgentCities.ES Experience planning and semantic service composition, Moreno, A. / Pavón, J. (Eds) reliable execution of composite services, and semantic failure handling. The book WSSAT – Whitestein Series in Software provides an in-depth introduction into Agent Technologies and Autonomic these areas, presents how they have been Computing extended in order to best support the needs 2008. IX, 225 p. Softcover for agent-based service coordination in EUR 39.90 / USD 59.95 / CHF 65.– IP2P environment, and finally shows how ISBN 978-3-7643-8542-2 107 Numerical and Computational Maths / Applications

Quantum Information and Many to prepare bids for and evaluate offers on Body Quantum Systems behalf of the users they represent with the aim of obtaining the maximum benefit for Proceedings their users. Ericsson, M., University of Cambridge, UK / For the agents, their bids are decided Montangero, S., NEST-CNR-INFM and according to some bidding strategy. However, Scuola Normale Superiore, Pisa, Italy (Eds) in CDAs, it is a complex decision problem Publications of the Scuola Normale because of the inherent uncertainty and Superiore, CRM Series Vol. 8 dynamics of the auction market. In this book, we present a new bidding strategy for In the last years a growing attention has agents to adopt in CDAs and propose tools been dedicated to many body quantum to enhance the performance of existing systems from the point of view of quantum bidding strategies in CDAs. The superior information. Indeed, after the initial performance of the new bidding strategy as investigation of simple systems as single well as the tools presented in this book are or two qubits, the need of understanding illustrated through extensive experiments. the characteristics of a realistic quantum 2008. VII, 140 p. Softcover information device leads necessarily to the EUR 34.90 / USD 49.95 / CHF 59.90 study of many body quantum systems. These ISBN 978-3-7643-8729-7 studies are also driven by the very fast development of experiments which in the Algorithms and T last years reach the goal of coherent control Programming TEXTBOOK of a few qubits (ion traps, charge qubits, etc.) with a roadmap for further scaling Problems and Solutions Reprint and improvement of coherent control and Shen, A., Institute of Problems of manipulation techniques. Information Transmission, This book gives a selection of current Moscow, Russia research topics in the field of quantum MBC – Modern Birkhäuser Classics information for many body quantum systems together with open problems. 1st ed. 1996. 2nd printing 2008. XIV, 218 p. 30 illus. Softcover 2008. 174 p. Softcover EUR 34.90 / USD 39.95 / CHF 59.90 EUR 25.– / USD 39.95 / CHF 42.– ISBN 978-0-8176-4760-5 ISBN 978-88-7642-307-9

Defense Industry Applications of Bidding Strategies in Agent-Based Autonomous Agents and Continuous Double Auctions Multi-Agent Systems Ma, H., CWI, Kruislaan, Amsterdam, The Pechoucek, M. / Thompson, S.G. / Voos, H. Netherlands / Leung, H., Chinese University (Eds) Hong-Kong, China WSSAT – Whitestein Series in Software WSSAT – Whitestein Series in Software Agent Technologies and Autonomic Agent Technologies and Autonomic Computing Computing 2008. X, 166 p. Softcover Online auctions are a platform to trade EUR 34.90 / USD 49.95 / CHF 59.90 ISBN 978-3-7643-8570-5 goods on the Internet. In this context, negotiation capabilities for software agents in continuous double auctions (CDAs) are a central concern. Agents need to be able

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Advanced Autonomic Networking with Applications using MATLAB’ as a good and Communication handbook for a diverse readership: graduates and professionals in mathematics, physics, Calisti, M. / van der Meer, S. / science and engineering.” — Mathematica Strassner, J.C. (Eds) 2004. XVIII, 462 p. 330 illus. Softcover WSSAT – Whitestein Series in Software EUR 49.90 / USD 59.95 / CHF 89.90 Agent Technologies and Autonomic ISBN 978-0-8176-4321-8 Computing T 2008. IX, 190 p. Softcover Mathematics for the EUR 39.90 / USD 59.95 / CHF 65.– TEXTBOOK ISBN 978-3-7643-8568-2 Analysis of Algorithms Greene, D.H. / Knuth, D.E. Reprint Agent Technology and e-Health MBC – Modern Birkhäuser Classics

Annicchiarico, R. / Cortés, U. / Urdiales, C. Reprint of the 1990 ed. (Eds) 2008. X, 132 p. Softcover EUR 34.90 / USD 39.95 / CHF 59.90 WSSAT – Whitestein Series in Software ISBN 978-0-8176-4728-5 Agent Technologies and Autonomic Computing Cluster Analysis for Data Mining 2008. 148 p. Softcover and System Identification EUR 39.90 / USD 59.95 / CHF 65.– ISBN 978-3-7643-8546-0 Abonyi, J. / Feil, B.

2007. XVIII, 303 p. 120 illus. Hardcover EUR 99.– / USD 129.– / CHF 158.– Variational Problems in Transport ISBN 978-3-7643-7987-2 Theory with Mass Concentration Santambrogio, F. Filtering Theory Publications of the Scuola Normale With Applications to Fault Detection, Superiore, Theses Vol. 4 Isolation, and Estimation 2007. XXXII, 198 p. Softcover Saberi, A. / Stoorvogel, A.A. / Sannuti, P. EUR 18.– / USD 24.95 / CHF 30.– ISBN 978-88-7642-312-3 SC – Systems & Control: Foundations & Applications T Dynamical Systems with TEXTBOOK ® “This book is about filtering of white Applications using MATLAB noise and finite energy type signals for Lynch, S. finite-dimensional linear time-invariant system models. … This book is written “The book is a good introduction to dynamical for a mathematically mature reader with systems theory. …The theory and applications background in state space, geometric theory are presented with the aid of the MATLAB and filtering at least at the first year graduate package. Throughout the book, MATLAB level in engineering or applied mathematics.” is viewed as a tool for solving systems or — Mathematical Reviews producing exciting graphics. …The MATLAB programs are kept as simple as possible and 2007. XIV, 723 p. 44 illus. Hardcover EUR 108.– / USD 139.– / CHF 160.– the author’s experience has shown that this ISBN 978-0-8176-4301-0 method of teaching using MATLAB works well with computer laboratory classes of small sizes. I recommend ‘Dynamical Systems

109 Numerical and Computational Maths / Applications

The Agent Modeling Language - Dynamical Systems with T AML Applications using MAPLE TEXTBOOK A Comprehensive Approach to Modeling Lynch, S. Multi-Agent Systems “The book will be useful for all kinds of Cervenka, R. / Trencansky, I. dynamical systems courses. … [It] shows WSSAT – Whitestein Series in Software the power of using a computer algebra Agent Technologies and Autonomic program to study dynamical systems, and, Computing by giving so many worked examples, provides ample opportunity for experiments. … 2007. XI, 355 p. Softcover [It] is well written and a pleasure to read, EUR 39.90 / USD 59.95 / CHF 65.– ISBN 978-3-7643-8395-4 which is helped by its attention to historical background.” — Mathematical Reviews (1st Edition) A Graph-Theoretic Approach to 2000. XIII, 420 p. 200 illus. Softcover Enterprise Network Dynamics EUR 49.95 / USD 59.95 / CHF 69.– Bunke, H. / Dickinson, P.J. / Kraetzl, M. / ISBN 978-0-8176-4150-4 Wallis, W.D. T PCS – Progress in Computer Science and Dynamical Systems with Applied Logic (PCS), Vol. 24 Applications using TEXTBOOK Mathematica® “This book introduces various graph theory Lynch, S. topics, and shows how these concepts can be used to solve some of the real problems “Stephen Lynch’s book offers a that arise in these five functional areas. … comprehensive introduction to the theory It is more suitable for research professors and application of differential equations working with data networks, graduate and dynamical systems methods. Its focus students in the subject, or advanced on applications and avoidance of overly undergrads in discrete mathematics.” — technical arguments makes it a an equally Computing Reviews good choice for teaching an undergraduate 2007. XIII, 225 p. 110 illus. Hardcover course in dynamical systems, as self- EUR 58.– / USD 74.95/ CHF 86.50 study for graduate students interested in ISBN 978-0-8176-4485-7 dynamical systems, or as an introductory text for researchers seeking an overview Contemporary Cryptology T of some current developments in applied TEXTBOOK Catalano, D. / Cramer, R. / dynamical systems. Most importantly, its Damgard, I. / Di Crescenzo, G. / content and presentation style convey the Pointcheval, D. / Takagi, T. excitement that has drawn many students and researchers to dynamical systems in the Advanced Courses in Mathematics - CRM first place.” — Dynamical Systems Magazine Barcelona 2007. XV, 484 p. 211 illus. Softcover 2005. VIII, 237 p. Softcover EUR 49.90 / USD 59.95 / CHF 85.– EUR 34.90 / USD 52.95 / CHF 59.90 ISBN 978-0-8176-4482-6 ISBN 978-3-7643-7294-1

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TEXTBOOK

Second Edition

Mathematical Olympiad Nexus Network Journal 11,3 Challenges Architecture and Mathematics Andreescu, T., University of Texas at Dallas, Williams, K., Torino, Italy (Ed.) Richardson, TX, USA / Gelca, R., Texas Tech University, Lubbock, TX, USA Due in Winter 2009

2009. Approx. 200 p. Softcover This signficantly revised and expanded EUR 79.90 / USD 109.– / CHF 139.– second edition of Mathematical Olympiad ISBN 978-3-7643-8977-2 Challenges is a rich collection of problems put together by two experienced and well- Nexus Network Journal 11,2 known professors and coaches of the U.S. International Mathematical Olympiad Architecture and Mathematics Team. Hundreds of beautiful, challenging, Williams, K., Torino, Italy (Ed.) and instructive problems from algebra, geometry, trigonometry, combinatorics, and Due in August 2009 number theory from numerous mathematical competitions and journals have been The title of this issue of the Nexus Network selected and updated. The problems are Journal, Architecture, Mathematics and clustered by topic into self-contained Structure, is deliberately ambiguous. At sections with solutions provided separately. first glance, it might seem to indicate the Historical insights and asides are presented relationship between what buildings look to stimulate further inquiry. The emphasis like and how they stand up. This is indeed throughout is on creative solutions to open- one aspect of what we are concerned ended problems. with here. But on a deeper level, the fundamental concept of structure is what New to the second edition: connects architecture to mathematics. * Completely rewritten discussions precede Both architecture and mathematics each of the 30 units, adopting a more user- are highly structured formal systems friendly style with more accessible and expressed through a symbolic language. inviting examples For architecture, the generating structure * Many new or expanded examples, might be geometrical, musical, modular, or problems, and solutions fractal. Once we understand the nature of * Additional references and reader the structure underlying the design, we are suggestions have been incorporated able to “read” the meaning inherent in the architectural forms. The papers in this issue 2nd ed. 2009. XVII, 283 p. 108 illus. Softcover all explore themes of structure in different EUR 34.90 / USD 49.95 / CHF 59.90 ISBN 978-0-8176-4528-1 ways.

2009. Approx. 200 p. Softcover EUR 79.95 / USD 109.– / CHF 139.– ISBN 978-3-7643-8975-8

111 Of General Interest

Nexus Network Journal 11,1 Nexus Network Journal 10,1 Architecture and Mathematics Architecture and Mathematics Williams, K., Torino, Italy (Ed.) Williams, K., Torino, Italy (Ed.)

In celebration of the 2009 International Year The quintessential Renaissance Man, of Astronomy, this issue of the Nexus Leonardo da Vinci was well aware of the Network Journal is devoted to relationships fundamental importance of mathematics between astronomy, mathematics and for architecture. This issue of the Nexus architecture. Ancient cultures looked to Network Journal examines Leonardo’s the heavens in order to identify timeless knowledge of theoretical mathematics, principles for their own creations. explores how he used concepts of geometry Knowledge gained in astronomy was in his designs for architectural projects, and transformed into culture through reports on a real-life construction project architecture and design. Papers in this using Leonardo’s principles. Authors include issue look at how astronomy influenced Sylvie Duvernoy, Kim Williams, Rinus Roelofs, architecture and urban design. Biagio Di Carlo, Mark Reynolds, João Pedro Xavier, Vesna Petresin, Christopher Glass, 2009. 200 p. Softcover and Jane Burry. To complete the issue Rachel EUR 79.95 / USD 109.– / CHF 139.– ISBN 978-3-7643-8973-4 Fletcher writes her Geometer’s Angle column on Dynamic Symmetry, Michael Ostwald reviews A Theory of General Ethics by Nexus Network Journal 10,2 Warwick Fox, Sarah Clough Edwards reviews Architecture and Mathematics Inigo Jones and the Classical Tradition by Williams, K., Torino, Italy (Ed.) Christy Anderson, and Sylvie Duvernoy reviews Architecture and Mathematics in Ancient Egypt by Corinna Rossi. This volume features a collection of papers dedicated to “Canons of Form-Making”, in 2008. 206 p. Softcover honor of the 500th anniversary of the birth EUR 59.90 / USD 89.95 / CHF 105.– ISBN 978-3-7643-8727-3 of architect Andrea Palladio (1508-1580). Theorist as well as practitioner, Palladio’s architecture was based on well-defined Nexus Network Journal 9,2 canons that he had gleaned from studying the treatises as well as the remains of Architecture and Mathematics architecture from antiquity. Palladio Williams, K. (Ed.)

himself left to posterity not only his large 2008. 382 p. Softcover corpus of built works, but his Quattro libri EUR 49.90 / USD 69.95 / CHF 89.– d’architettura. Three of the papers in this ISBN 978-3-7643-8444-9 issue are specifically about Palladio and his work. The other papers deal with canons of Nexus Network Journal 9,1 form-making, ancient and contemporary. Architecture and Mathematics 2008. 169 p. Softcover Williams, K. (Ed) EUR 59.90 / USD 89.95 / CHF 105.– ISBN 978-3-7643-8765-5 2007. 158 p. Softcover EUR 49.90 / USD 64.95 / CHF 85.– ISBN 978-3-7643-8443-2

112 Of General Interest

Israel Gohberg and Friends Indiscrete Thoughts

On the Occasion of his 80th Birthday Rota, G.-C., MIT, Cambridge, Reprint Bart, H., Erasmus Universiteit Rotterdam, MA, USA The Netherlands / Hempfling, T., Basel, MBC – Modern Birkhäuser Classics Switzerland / Kaashoek, M.A., Vrije Universiteit Amsterdam, The Netherlands Reprint of the 1997 ed. 2008. XXII, 280 p. 1 illus. Softcover EUR 34.90 / USD 39.95 / CHF 59.90 (Eds) ISBN 978-0-8176-4780-3

This book is dedicated to Israel Gohberg T on occasion of his 80th birthday on August The Math Problems TEXTBOOK 23, 2008. It is an expression of esteem Notebook and friendship for a great mathematician, Boju, V. / Funar, L. a remarkable person and an inspiring colleague. The book contains reflections by 2007. XII, 236 p. 21 illus. Softcover EUR 34.95 / USD 44.95 / CHF 54.50 Gohberg himself on his own mathematical ISBN 978-0-8176-4546-5 activities and those of others. It also includes contributions of colleagues and T co-workers, both from his time in the Soviet Symmetry TEXTBOOK Union and from when he lived and worked in Cultural-historical and the West. The contributions in question are Ontological Aspects of Science-Arts not mathematical research papers but focus on the man Israel Gohberg and are intended Relations; the Natural and Man-made for a wide audience. To be found are letters, World in an Interdisciplinary Approach speeches, laudatios and reminiscences Darvas, G. which, together, present an attractive picture of the way in which Israel Gohberg in the “This complete and beautifully presented past four to five decades influenced the book...relies little on mathematics but offers lives of many mathematicians. Biographical a bevy of vivid examples and eye catching material such as a curriculum vitae, a list illustrations...This deep exploration on the of publications, a list of Ph.D. students and fascinating subject of symmetry takes information about honorary doctoral degrees a historical overview. It ranges from the is also included. pottery motifs of the misty past to more recent discoveries and applications in 2008. XIV, 324 p. Hardcover EUR 39.90 / USD 59.95 / CHF 69.90 particle and high-energy physics, structural ISBN 978-3-7643-8733-4 and biochemistry chemistry, genetics, brain research, business decision making, and more. The author starts from the very Discrete Thoughts Reprint basic definitions of symmetry: reflection, Essays on Mathematics, rotation, and translation. From there the Science and Philosophy mathematical concepts never get beyond Kac, M., University of Southern California, anything more complex than Euler’s CA, USA / Rota, G.-C., MIT, Cambridge, MA, Polyhedral Formula. … Among the liberal USA / Schwartz, J.T., New York University, excursions into photographic and illustrated New York, NY, USA examples of symmetry, many are reproduced in full color in a dedicated final section to MBC – Modern Birkhäuser Classics the book. Other final sections include a long bibliography of related works and indexes Reprint of the 1992 2nd ed. 2008. XII, 264 p. 5 illus. Softcover EUR 34.90 / USD 39.95 / CHF 59.90 by both name and subject. As a result, this ISBN 978-0-8176-4774-2 book serves not only as enlightening and

113 Of General Interest

entertaining reading that can be entered into The Topos of Music at any point, but a good reference work on Geometric Logic of Concepts, Theory, symmetry.” — MAA Reviews and Performance 2007. XI, 508 p. 420 illus., 66 in color. Softcover Mazzola, G.B. EUR 59.90 / USD 79.95 / CHF 105.– ISBN 978-3-7643-7554-6 “Topos of Music is an extensive and elaborate T body of mathematical investigations into Mathematical Olympiad music and involves several and ontologically TEXTBOOK Treasures different levels of musical description. Andreescu, T. / Enescu, B. Albeit the author Guerino Mazzola lists 17 contributors and 2 collaborators, the book “I took great pleasure in reading should be characterized as a monograph. Mathematical Olympiad Treasures, by Large portions of the content represent Titu Andreescu and Bogdan Enescu. This original research of Mazzola himself, and book is the fruit of the prodigious activity of the material from other work is exposed two well-known creators of mathematics from Mazzola’s point of view and is well problems in various mathematical journals. referenced. The preface preintimates an … I believe strongly that Mathematical intended double meaning of the term topos Olympiad Treasures will reveal the beauty of in the title. On the one hand, it provides a mathematics to all students, teachers and all mathematical anchor, which is programmatic math lovers.” — MAA Online for the entire approach: the concept of a cartesian closed category with a subobject 2004. VI, 234 p. 99 illus. Softcover classifier …” — Zentralblatt Math EUR 34.95 / USD 44.95 / CHF 54.50 ISBN 978-0-8176-4305-8 2002. Hardcover EUR 129.– / USD 189.– / CHF 219.– ISBN 978-3-7643-5731-3 Fibonacci Numbers Vorobiev, N.N. The Geometry of the Group of “This is a wonderful book with a huge amount Symplectic Diffeomorphism of information on Fibonacci numbers. First Polterovich, L. published in the 1950s for high school LM – Lectures in Mathematics. ETH Zürich students enrolled in a mathematical circle at the Leningrad State University, 2001. XII, 133 p. Softcover the book only assumes knowledge of high EUR 24.95 / USD 34.95 / CHF 39.90 ISBN 978-3-7643-6432-8 school mathematics, but the reader will need the sophistication of a good upper- level mathematics major. The warmth and Compact Riemann Surfaces enthusiasm of the late author comes through Narasimhan, R. Mircea Martin’s English translation. … This book would be useful to any mathematician LM – Lectures in Mathematics. ETH Zürich with a desire to know more about the 1992. Softcover Fibonacci numbers. A student could use it for EUR 24.95 / USD 39.95 / CHF 39.90 a reading project on the Fibonacci numbers. ISBN 978-3-7643-2742-2 … Overall, I enjoyed the book and highly recommend it.” — MAA Online

2002. X, 176 p. Softcover EUR 29.90 / USD 44.95 / CHF 49.90 ISBN 978-3-7643-6135-8

114

History of Science draft

The Algebraic Mind La correspondance entre Henri Galois Theory in the 19th Century Poincaré et les astronomes et Martini, L., Siena, Italy / Toti Rigatelli, L., géodésiens Università di Siena, Italy Walter, S.A. / Krömer, R. / Nabonnand, P. / Schiavon, M. (Eds) SNHS – Science Networks. Historical Université Nancy 2, France Studies PAHP – Publications des Archives Henri Due in Summer 2010 Poincaré / Publications of the Henri Poincaré Archives The aim of this book is to discuss the development of Galois theory from 1830 Due in Winter 2009 to the turn of the twentieth century. It traces the evolution of this theory through The letters in this volume cover Poincaré’s the works of those nineteenth-century multifaceted career in astronomy in its algebraists who significantly contributed to entirety, extending from the time of his modern algebra. Starting with an analysis first publications in 1880 to the end of of Galois’ memoirs, the book discusses the his life in 1912. At a tender age, Poincaré development of the concept of substitution established his authority in questions of group, in particular, and of group theory, in celestial mechanics, and his counsel was general, by focusing on the contributions soon sought out on technical points by the that German, French, British, Norwegian, leading astronomers and geodesists of the and Italian mathematicians, among others, day, including C.V.L. Charlier, G.H. Darwin, F.R. gave to algebraic research throughout the Helmert, A. Lindstedt A.M. Lyapunov, Simon second half of the nineteenth century. Newcomb, and Karl Schwarzschild. Poincaré and his correspondents take up topics 2009. Approx. 230 p. Hardcover Approx. EUR 99.– / USD 139.– / 159.– ranging from the three-body problem and ISBN 978-3-7643-8802-7 the theory of orbits to perturbation theory and the figure of rotating fluid masses. The volume also sheds light on Poincaré’s three terms as president of the Bureau of Longitudes, where he guided French astronomy through ambitious projects, such as measuring an arc of meridian near Quito.

2009. Env. 450 p. Relie EUR 169.– / USD 229.– / CHF 349.– ISBN 978-3-7643-7167-8

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Correspondance de Leonhard Hermann Graßmann Euler avec L. Bertrand, Ch. Bonnet, Petsche, H.-J., Potsdam, Germany J. Castillon, G. Cramer, Ph. Cramer, Due in September 2009 G. Cuenz, G.L. Lesage, J.M. von Loen et J.K. Wettstein Hermann Grassmann whose career Bodenmann, S., Riehen, Switzerland / was spent as a high-school teacher Kleinert, A., Halle, Germany in Stettin is known as the founder of n-dimensional vector algebra as well as Leonhard Euler, Opera Omnia, for his lasting contributions to physics Series quarta A Vol. 7 and linguistics. In his opus magnum, the Due in October 2009 “Ausdehnungslehre” he developed, mainly inspired by Schleiermacher’s philosophical This volume of the Opera Omnia will method, an entirely new mathematical be devoted to the French letters Euler discipline. Ignored by his contemporaries, exchanged with his friend and countryman his remarkable work is now recognized to Johann Kaspar Wettstein, as well as with have been that of a pioneer. The biography some Swiss scholars from and around goes into detail of the complex network of Geneva (Louis Bertrand, Charles Bonnet, internal and external factors that shaped Marc-Michel Bousquet, Jean Castillon, Grassmann’s development. Gabriel Cramer, Philibert Cramer, Gaspard 2009. Approx. 280 p. Hardcover Cuentz, Georges-Louis Lesage). It will also EUR 69.95 / USD 99.95 / CHF 125.– include a short correspondence between the ISBN 978-3-7643-8859-1 great mathematician and a remote relative, German Edition Johann Michael von Loen, who is mentioned See page 137 in a letter from Louis Bertrand and in some letters from Euler addressed to Maupertuis and Frederic II.

We hope that those correspondences will draw a slightly different portrait of Euler, who wasn’t just the most prolific mathematician ever but also built networks to propagate his ideas, to protect and recommend some of his contemporaries, eventually to help organize and consolidate the Academies of Berlin and St. Petersburg.

2010. Env. 550 p. Relie EUR 154.21 / USD 229.– / CHF 248.– ISBN 978-3-7643-8743-3

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Hermann Graßmann – Roots

and Traces draft

Hermann Graßmann – Roots and Japanese Mathematics Traces in the Edo Period (1600-1868) Autographs and Unknown Documents Horiuchi, A., Paris, France Petsche, H.-J., Universität Potsdam, SNHS – Science Networks. Historical Germany / Kannenberg, L., Weston, MA, Studies USA / Keßler, G., Potsdam, Germany / Liskowacka, J., Szczecin, Poland (Eds) Due in September 2009

Due in September 2009 The book presents the main features of the Wasan tradition, which is the indigenous Original documents on the life of Hermann mathematics that developed in Japan during Grassmann are rare. The manuscripts he left the Edo period. (1600-1868). It begins with are missing. Nevertheless the situation is a description of the first mathematical not hopeless. Parts of the literary remains textbooks published in the 17th century, of the Grassmann family could be tracked then shifts to the work of the two leading down in Szczecin. Unknown letters have mathematicians of this tradition, Seki been found in German archives. Pictures Takakazu and Takebe Katahiro. The book of Hermann Grassmann and his father and provides substantial information on the brother, not seen before, can be shown here historical and intellectual context, the for the first time. role played by the Chinese mathematical treatises introduced at the late 16th century, The documentation (presented in German and an analysis of Seki’s and Takebe’s and English), which is needed for an contribution to the development of algebra appropriate appreciation on the 200th and calculus in Japan. anniversary of this great scholar, gives deep insights into his struggle for self-discovery, 2009. Approx. 350 p. Hardcover EUR 189.– / USD 279.– / CHF 329.– and allows the relationship to his very ISBN 978-3-7643-8744-0 different brother to emerge vividly. Together with the biography, and the interdisciplinary volume, this volume is essential for everyone who want to get to know this great scholar better and to plumb the depths of Grassmann’s output.

2009. Approx. 180 p. Hardcover EUR 49.95 / USD 69.95 / CHF 79.90 ISBN 978-3-0346-0154-2

117 History of Science

Selected Works of A.I. Shirshov The First Bokut, L.A., Sobolev Institute of Professional Scientist Mathematics, Novosibirsk, Russia / Robert Hooke Latyshev, V., MGU im. Lomonosova, Moscow, Russia / Shestakov, I., IME-USP, Sao Paulo, and the Royal Society of London Brazil / Zelmanov, E., UCSD, La Jolla, USA Purrington, R.D., Tulane University, New (Eds) Orleans, LA, USA CM – Contemporary Mathematicians SNHS – Science Networks. Historical Studies, Vol. 39 This book presents translations of selected works of the famous Russian A contemporary of Christopher Wren, Robert mathematician A.I. Shirshov (1921–1981). Boyle, and Isaac Newton, and close friend of He was a pioneer in several directions of all but Newton, Robert Hooke (1635-1703), associative, Lie, Jordan, and alternative one of the founders of the early scientific algebras, as well as groups and projective revolution, faded into almost complete planes. His name is associated with obscurity after his death and remained there notions and results on Gröbner-Shirshov for nearly three centuries. The result has bases, the Composition-Diamond Lemma, been that his role in the scientific revolution the Shirshov-Witt Theorem, the Lazard- has been almost totally ignored. He was the Shirshov elimination process, Shirshov’s first professional scientist worthy of the Height Theorem, Lyndon-Shirshov words, name, working for the young Royal Society Hall-Shirshov bases, Shirshov’s theorem of London as its curator of experiments on the Kurosh problem for alternative and for four decades. He became the Society’s Jordan algebras, and Shirshov’s theorem intellectual center, and for a while its on the speciality of Jordan algebras with Secretary, roles which led to confrontation two generators. Shirshov’s ideas were with Newton. He made important used by his student Efim Zelmanov for the contributions to pneumatics, mechanics, solution of the Restricted Burnside Problem. microscopy, astronomy, and geology, and was Several famous algebraists provide in this partner to Wren in rebuilding London after book detailed comments on the impact of the Fire.

Shirshov’s work on current algebra. 2009. Approx. 300 p. Hardcover EUR 119.– / USD 169.– / CHF 209.– 2009. Approx. 250 p. Hardcover ISBN 978-3-0346-0036-1 EUR 129.– / USD 199.– / CHF 229.– ISBN 978-3-7643-8857-7

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E.C.G. Stueckelberg, The World as a An Unconventional Figure of Mathematical Game Twentieth Century Physics John von Neumann and Twentieth Selected Scientific Papers with Century Science Commentaries Israel, G., Università di Roma “La Sapienza”, Lacki, J., Universität Genf, Switzerland / Rome, Italy / Millán Gasca, A., Università Ruegg, H., Troinex, Switzerland / Roma Tre, Rome, Italy Wanders, G., Lausanne, Switzerland (Eds) SNHS – Science Networks. Historical Studies, Vol. 38 Born in 1905, Ernst C. G. Stueckelberg was professor of theoretical physics at Galileo and Newton’s work towards the the Universities of Geneva and Lausanne mathematisation of the physical world; in the years 1930 – 1970. He was one of Leibniz’s universal logical calculus; the the most eminent Swiss physicists of the Enlightenment’s mathématique sociale. 20th century. His breakthroughs, from his John von Neumann inherited all these aims causal S-matrix to the renormalization and philosophical intuitions, together with group, have influenced the development of an idea that grew up around the Vienna contemporary theoretical physics. The book Circle of an ethics in the form of an exact presents a selection of his most important science capable of guiding individuals to scientific papers. They are preceded with a make correct decisions. With the help of series of introductory essays, contributed his boundless mathematical capacity, von by scientists and historians, specialists Neumann developed a conception of the of Stueckelberg’s achievements and time. world as a mathematical game, a world These essays deal with the scientific context globally governed by a universal logic in and the issues of the various topics that which individual consciousness moved Stueckelberg tackled in his scientific career following different strategies: his vision and serve as an enlightening complement guided him from set theory to quantum to the reprinted papers. The volume also mechanics, to economics and to his contains Stueckelberg’s concise biography theory of automata (anticipating artificial and an exhaustive list of his publications. intelligence and cognitive science). This book It ambitions to provide an authoritative provides the first comprehensive scientific source gathering in a single place all the and intellectual biography of John von material needed to assess the scientific Neumann, a man who perhaps more than achievements of one of the most important, any other is representative of twentieth albeit somehow overlooked, scientists of century science. The Italien edition is 20th century. awarded the Premio Peano 2008. 2009. XV, 422 p. Hardcover 2009. XII, 207 p. Hardcover EUR 119.– / USD 169.– / CHF 209.– EUR 89.90 / USD 129.– / CHF 159.– ISBN 978-3-7643-8877-5 ISBN 978-3-7643-9895-8 119 History of Science

A Lost Mathematician, The Physical Tourist Takeo Nakasawa A Science Guide for the Traveler The Forgotten Father of Matroid Theory Rigden, J.S. , Washington University, St. Nishimura, H., Tsukuba University, Japan / Louis, MO, USA / Stuewer, R.H., University of Kuroda, S., Passau, Germany (Eds) Minnesota, Minneapolis, MN, USA (Eds)

Matroid theory was invented in the middle Typical travel guides have sections on of the 1930s by two mathematicians architecture, art, literature, music and independently, namely, Hassler Whitney cinema. Rarely are any science-related sites in the USA and Takeo Nakasawa in Japan. identified. For example, a current travel Whitney became famous, but Nakasawa guide for Germany contains one tidbit on remained anonymous until two decades ago. science: Einstein is identified as the most He left only four papers to the mathematical famous citizen of Ulm. By contrast, this community, all of them written in the middle travel guide walks a tourist through Berlin of the 1930s. It was a bad time to have lived and identifies where Max Planck started in a country that had become as eccentric the quantum revolution, where Einstein as possible. Just as Nazism became more lived and gave his early talks on general and more flamboyant in Europe in the relativity, and where, across the street, 1930s, Japan became more and more Einstein’s books were burned by the Nazis. esoteric and fanatical in the same time Or, if you are walking in Paris, this guide tells period. This book explains the little that is you where radioactivity was discovered and known about Nakasawa’s personal life in a where radium was discovered. Scientific Japan that had, among other failures, lost discoveries of the past, like art of the past, st control over its military. This book contains have shaped life in the 21 century. From his four papers in German and their English this travel guide, a tourist will learn what translations as well as some extended other guides leave out. commentary on the history of Japan during 2009. VIII, 249 p. 115 illus. Hardcover those years. The book also contains 14 EUR 19.90 / USD 29.95 / CHF 34.90 photos of him or his family. Although the veil ISBN 978-3-7643-8932-1 of mystery surrounding Nakasawa’s life has only been partially lifted, the work presented in this book speaks eloquently of a tragic loss to the mathematical community.

2009. XII, 234 p. 14 illus. Hardcover EUR 49.90 / USD 69.95 / CHF 89.90 ISBN 978-3-7643-8572-9

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A History of Algebraic and Differential Topology, 1900–1960 Dieudonné, J. MBC – Modern Birkhäuser Classics

2009. XXIV, 648 p. Softcover Approx. EUR 46.20 / USD 59.95 / CHF 77.– ISBN 978-0-8176-4906-7

Collected Works of Charles The Theory of the Top François Sturm Vol. 1: Introduction to the Kinematics Pont, J.-C., Université de Genève, and Kinetics of the Top Switzerland (Ed.) Klein, F. / Sommerfeld, A. Charles François Sturm was born in Geneva, The Theory of the Top: Volume I. Introduction Switzerland, on September 29, 1803. He to the Kinematics and Kinetics of the Top is obtained his scientific education in this the first of a series of four self-contained city and began his rich scientific career English translations of the classic and there through significant research in sound definitive treatment of rigid body motion. propagation and compressibility of fluids. Key features: In September of 2003, on the occasion of * Complete and unabridged presentation the 200th anniversary of his birth, his home with recent advances and additional notes city honoured his worldwide recognition * Annotations by the translators provide with a colloquium and workshop under the insights into the nature of science and sponsorship of the University of Geneva. mathematics in the late 19th century This volume is based on lectures presented * Each volume interweaves theory and at that colloquium, which focused on C.F. applications Sturm’s own work. The book contains a Volume I focuses on providing fundamental selection of reproductions of his scientific background material and basic theoretical publications. Sturm contributed notably to concepts. The Theory of the Top was geometry (theory of polygons, elementary originally presented by Felix Klein as an geometry, projective geometry, conic 1895 lecture at Göttingen University that sections), algebra, analysis (differential was broadened in scope and clarified equations, series), optics (caustics, as a result of collaboration with Arnold physiological optics), mechanics, and Sommerfeld. Graduate students and other areas of physics (particularly fluid researchers interested in theoretical and mechanics and speed of sound in water). applied mechanics will find this a thorough 2009. X, 808 p. Hardcover and insightful account. Other volumes in this EUR 149.– / USD 209.– / CHF 259.– series include Development of the Theory ISBN 978-3-7643-7989-6 for the Heavy Symmetric Top, Perturbations: Astronomical and Geophysical Applications, and Technical Applications of the Theory of the Top.

2008. XVIII, 279 p. 43 illus. Hardcover EUR 64.90 / USD 79.95 / CHF 115.– ISBN 978-0-8176-4720-9

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Discovering the Principles of been exploited. By telling the story of the Mechanics 1600-1800 enigmatic satellite in its proper historical context it is demonstrated that it was much Essays by David Speiser more than a mere curiosity in the annals Williams, K., Torino, Italy / Caparrini, S., of astronomy – Frederick II of Prussia was Orbassano (Torino), Italy (Eds) familiar with it, and so was Bonnet, Kant and Voltaire. The satellite of Venus belongs to the This book assembles 21 essays on the same category as other fictitious celestial history of mechanics and mathematical bodies (such as the planet Vulcan), yet it physics written by David Speiser from had its own life and fascinating historical 1961 to 2003. The period dealt with goes trajectory. By following this trajectory, the from the beginning of the seventeenth history of planetary astronomy is addressed century through the eighteenth century. In in a novel way. particular, the essays discuss developments in elasticity, rigid bodies, gravitation, the 2008. XII, 199 p. 33 illus. Hardcover EUR 39.90 / USD 59.95 / CHF 69.90 principle of relativity, optics, and first ISBN 978-3-7643-8908-6 principles. David Speiser examines the work of Galileo, Huygens, Newton, Leibniz, the Bernoullis, Euler, Maupertuis, and Lambert. Ettore Majorana Sandro Caparrini and Kim Williams have Aspects of his Scientific and Academic selected the papers that present a cohesive Activity overview of a crucial period in the history of mechanics by a historian and physicist Guerra, F., Università di Roma La Sapienza, of renown. Ordered chronologically with Italy / Robotti, N., Università di Genova, Italy regards to the scientific developments, this Publications of the Scuola Normale collection presents a history of mechanics Superiore, Vol. 6 during the period under consideration. Little more than one hundred years have 2008. X, 331 p. Hardcover EUR 89.90 / USD 129.– / CHF 149.– gone by since the birth of Ettore Majorana, ISBN 978-3-7643-8564-4 a highly renowned theoretical physicist. His career was brief and irregular but The Moon that Wasn’t very intense, and he disappeared in March 1938 in circumstances that still The Saga of Venus’ Spurious Satellite are not completely clear. This volume is a Kragh, H., University of Aarhus, Denmark contribution to a better understanding of the scientific, academic and human personality SNHS – Science Networks. Historical of Ettore Majorana, beyond the layers of Studies, Vol. 37 legendary aspects which have accumulated over the years. Based on primary sources This book details the history of one of alone-scientific literature of the period and astronomy’s many spurious objects, the numerous archival documents - the figure satellite of Venus. First spotted in 1645, of Ettore Majorana emerges in a completely the non-existing moon was observed more new light. than a dozen times until the late eighteenth A rich reproduction of original documents century. Although few astronomers believed completes the volume. in the existence of the moon after about 1770, it continued to attract attention for at 2008. XII, 243 p. Softcover least another century. However, it has largely EUR 23.– / USD 39.95 / CHF 38.– ISBN 978-88-7642-331-4 disappeared from the history of astronomy, and the rich historical sources have never

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Lacroix and the Calculus Perspectives on the History Caramalho Domingues, J., University of of Mathematical Logic Reprint Minho, Braga, Portugal Drucker, T., University of Wisconsin, SNHS – Science Networks. Historical Whitewater, WI, USA (Ed.) Studies, Vol. 35 MBC – Modern Birkhäuser Classics

Silvestre François Lacroix (Paris, 1765 – Reprint of the 1991 ed. 2008. XXVI, 196 p. 10 illus. Softcover EUR 34.90 / USD 39.95 / CHF 59.90 ibid., 1843) was a most influential ISBN 978-0-8176-4768-1 mathematical book author. His most famous work is the three-volume Traité du calcul différentiel et du calcul intégral (1797–1800; Riemann, Topology, and Reprint 2nd ed. 1810–1819) – an encyclopedic Physics th appraisal of 18 -century calculus which Monastyrsky, M.I., Institute for Theoretical remained the standard reference on the and Experimental Physics, Moscow, Russia subject through much of the 19th century, in spite of Cauchy’s reform of the subject in MBC – Modern Birkhäuser Classics the 1820s. 2nd ed. 1999. 2nd printing Lacroix and the Calculus is the first major 2008. XVIII, 216 p. 45 illus. Softcover study of Lacroix’s large Traité. It uses the EUR 34.90 / USD 39.95 / CHF 59.90 unique and massive bibliography given ISBN 978-0-8176-4778-0 by Lacroix to explore late 18th-century calculus, and the way it is reflected in One Hundred Years of Intuitionism Lacroix’s account. Several particular (1907–2007) aspects are addressed in detail, including: the foundations of differential calculus, The Cerisy Conference analytic and differential geometry, Atten, M., IHPST, Paris, France / Boldini, P., conceptions of the integral, and types of Université Paris-Sorbonne, France / solutions of differential equations (singular/ Bourdeau, M., IHPST, Paris, France / complete/general integrals, geometrical Heinzmann, G., Nancy-Université/CNRS, interpretations, and generality of arbitrary France (Eds) functions). PAHP – Publications des Archives Henri 2008. XIV, 468 p. Hardcover Poincaré / Publications of the Henri Poincaré EUR 119.– / USD 169.– / CHF 209.– Archives ISBN 978-3-7643-8637-5 With logicism and formalism, intuitionism Bernhard Riemann 1826-1866 Reprint is one of the main foundations for mathematics proposed in the twentieth Turning Points in the Conception century; and since the seventies, notably of Mathematics its views on logic have become important Laugwitz, D., Technische Hochschule, also outside foundational studies, with Darmstadt, Germany the development of theoretical computer science. MBC – Modern Birkhäuser Classics The aim of the book is threefold: to review 1st ed. 1999. 2nd printing 2008. XX, 358 p. 40 illus. Softcover and complete the historical account of EUR 34.90 / USD 39.95 / CHF 59.90 intuitionism; to present recent philosophical ISBN 978-0-8176-4776-6 work on intuitionism; and to give examples of new technical advances and applications

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of intuitionism. This volume brings together Die Werke von Johann I und 21 contributions by today’s leading Nicolaus II Bernoulli authors on these topics, and surveys the philosophical, logical and mathematical Band 6: Mechanik I implications of the approach initiated in Bernoulli, J.I. / Bernoulli, N.II 1907 in L.E.J. Brouwer’s dissertation. 2008. XXII, 695 p. Cloth bound EUR 214.02 / USD 289.– / CHF 368.– 2008. XIII, 422 p. Hardcover ISBN 978-3-7643-7367-2 EUR 99.– / USD 139.– / CHF 175.– ISBN 978-3-7643-8652-8 T A History of Abstract Algebra TEXTBOOK Patterns of Change Kleiner, I. Linguistic Innovations in the “This book gives an overview of the origin Development of Classical Mathematics and development of the basic ideas of Kvasz, L., Comenius University, Bratislava, modern abstract algebra. … In each chapter, Slovakia, and Charles University, Praha, the author makes extensive references Czech Republic to relevant literature. The book can be SNHS – Science Networks. Historical recommended to mathematicians, teachers Studies, Vol. 36 of mathematics (especially of algebra), historians of the sciences and students, who The book offers a reconstruction of linguistic can find many useful references and ideas innovations in the history of mathematics. It for their research, teaching or studies.” — argues that there are at least three ways in EMS Newsletter

which the language of mathematics can be 2007. XVI, 168 p. 24 illus. Softcover changed. EUR 39.90 / USD 49.95 / CHF 65.– As illustration of changes of the first kind, ISBN 978-0-8176-4684-4 called re-codings, is the development along the line: synthetic geometry, analytic History of Banach Spaces and geometry, fractal geometry, and set theory. In this development the mathematicians Linear Operators changed the very way of constructing Pietsch, A. geometric figures. As illustration of changes of the second kind, “This fundamental and interesting called relativization, is the development monograph is devoted to the history (and of synthetic geometry along the line: not only) of a remarkable and rich branch of Euclid’s geometry, projective geometry, non- up-to-date mathematics ... I recommend this Euclidean geometry, Erlanger program up to book to all who are interested in Functional Hilbert’s Grundlagen der Geometrie. Analysis, to beginners and researchers, all Changes of the third kind, called students and all professors who deal with re-formulations are for instance the changes Functional Analysis and its applications. And that can be seen on the different editions of I think that this book will be useful to each Euclid’s Elements. Perhaps the best known mathematical library.” — Zentralblatt Math among them is Playfair’s change of the 2007. XXIII, 855 p. 82 illus. Hardcover formulation of the fifth postulate. EUR 109.– / USD 139.– / CHF 160.– ISBN 978-0-8176-4367-6 2008. XVIII, 261 p. Hardcover EUR 99.– / USD 139.– / CHF 175.– ISBN 978-3-7643-8839-3

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Labyrinth of Thought Geometry and Monadology 2nd A History of Set Theory and Edition Leibniz’s Analysis Situs and Philosophy Its Role in Modern Mathematics of Space Ferreirós, J. De Risi, V. SNHS – Science Networks. Historical “José Ferreirós has written a magisterial Studies, Vol. 33 account of the history of set theory which is panoramic, balanced, and engaging. Not only 2007. XX, 658 p. Hardcover does this book synthesize much previous EUR 139.– / USD 179.– / CHF 229.– work and provide fresh insights and points of ISBN 978-3-7643-7985-8 view, but it also features a major innovation, a full-fledged treatment of the emergence of Tool and Object the set-theoretic approach in mathematics from the early nineteenth century. This takes A History and Philosophy of Category up Part One of the book. Part Two analyzes Theory the crucial developments in the last quarter Krömer, R. of the nineteenth century, above all the SNHS – Science Networks. Historical work of Cantor, but also Dedekind and the Studies, Vol. 32 interaction between the two. Lastly, Part Three details the development of set theory 2007. XXXVI, 367 p. Hardcover up to 1950, taking account of foundational EUR 99.– / USD 129.– / CHF 169.– questions and the emergence of the modern ISBN 978-3-7643-7523-2 axiomatization.” — Bulletin of Symbolic Logic Leonhard Euler

2nd, revised ed. 2007. XXV, 466 p. 7 illus. Softcover Fellmann, E.A. EUR 59.90 / USD 89.95 / CHF 105.– ISBN 978-3-7643-8349-7 “This is the only biography of Leonhard Euler currently available in English, and it would Jacopo da Firenze’s Tractatus be worth having for that reason alone. … Algorismi and Early Italian The book is a good introductory biography of Euler, and it is handsomely produced, Abbacus Culture with nice paper and lots of illustrations. It Høyrup, J. is a welcome addition to the literature on Euler. Fellmann has chosen to make this SNHS – Science Networks. Historical a non-technical biography. There are no Studies, Vol. 34 mathematical details and no formulas. Short 2007. XII, 482 p. Hardcover accounts of Euler’s work are included, but EUR 99.– / USD 139.– / CHF 169.– few details are given. Even then, the sections ISBN 978-3-7643-8390-9 that go into Euler’s work are marked with asterisks so that readers who are not willing Leonhard Euler to delve into specifics can skip them. With non-technical readers in mind, Fellmann A Man to Be Reckoned With privileges those aspects of Euler’s work that Heyne, A.K. / Heyne, A.K. are more accessible ...” — MAA Reviews 2007. Hardcover 2007. XV, 179 p. 58 illus. Hardcover EUR 19.90 / USD 19.95 / CHF 32.90 EUR 29.90 / USD 39.95 / CHF 49.90 ISBN 978-3-7643-8332-9 ISBN 978-3-7643-7538-6 German Edition See page 136

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Modern Algebra and the 2nd Riseof Mathematical Edition Structures Corry, L.

2nd revised ed. 2004. 451 p. Softcover EUR 64.90 / USD 99.– / CHF 109.– ISBN 978-3-7643-7002-2

Mathematics and War Booss-Bavnbek, B. / Høyrup, J. (Eds)

2003. VIII, 416 p. Softcover EUR 39.– / USD 59.95 / CHF 60.– ISBN 978-3-7643-1634-1

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

2003. IX, 308 p. 202 illus., 86 in color. Softcover EUR 119.– / USD 179.– / CHF 199.– ISBN 978-3-7643-2434-6

Evariste Galois (1811-1832) Toti Rigatelli, L. VM – Vita Mathematica, Vol. 11

“This very pleasant, interesting and well- written biography is based on the analysis and interpretation of a series of hitherto neglected documents found by the author in the French archives. Certainly a book to recommend and that every mathematical library should have.” — Numerical Algorithms

1996. Softcover EUR 24.95 / USD 39.95 / CHF 39.90 ISBN 978-3-7643-5410-7

The Apprenticeship of a Mathematician Weil, A.

1992. 198 p. Hardcover EUR 49.95 / USD 69.95 / CHF 79.90 ISBN 978-3-7643-2650-0

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Mathematik T Kompakt TEXTBOOK

Die Lehrbuchreihe für Bachelor- und Masterstudiengänge

Herausgeber: Mathematische Modellierung Brokate, M., TU München Hoffmann, K.-H., TU München, Garching / Engl, H.W.,Universität Wien Witterstein, G., TU München, Garching, Hoffmann, K.-H., TU München Kersting, G., Universität Frankfurt/Main Mako – Mathematik Kompakt Stroth, G., Universität Halle Geplant für Dezember 2009 Welzl, E., ETH Zürich Mathematische Modellbildung und nume- • Kompakt: relevantes Wissen auf rische Simulation sind neben dem Experiment 150 Seiten und der Theoriebildung zur dritten Säule der • Lernen leicht gemacht: naturwissenschaftlichen Forschung geworden. Beispiele und Übungsaufgaben Daraus ergibt sich die Erfordernis, auch die veranschaulichen die Anwendung der Grundlagen zur Konstruktion mathematischer Inhalte Modelle und charakteristische Beispiele für • Praktisch für Dozenten: die Ausbildung von Studenten aufzubereiten. jeder Band dient als Vorlage für eine Dieses Lehrbuch bietet die Grundaspekte, die 2-stündige Lehrveranstaltung erforderlich sind, um in Naturwissenschaften, Ingenieurwissenschaften und Lebenswissen- Die Lehrbuchreihe Mathematik Kompakt schaften konsistente mathematische Modelle ist eine Reaktion auf die Umstellung der zu erarbeiten. Der Stoff behandelt einführend Diplomstudiengänge in Mathematik zu Fragen zur Dimensionsanalyse, zur asympto- Bachelor- und Masterabschlüssen. tischen Entwicklung und zu Grenzschichten. Inhaltlich werden unter Berücksichtigung Diese Thematik wird systematisch bei der der neuen Studienstrukturen die aktuellen Darstellung der Grundprinzipien der Mechanik Entwicklungen des Faches aufgegriffen und insbesondere der mathematischen Model- kompakt dargestellt. lierung von strömenden Medien aufgegriffen. Die modular aufgebaute Reihe richtet Durch Einbezug von Wärmeleitungsprozessen sich an Dozenten und ihre Studierenden erschließt sich u.a. ein Weg zur Modellbildung in Bachelor- und Masterstudiengängen bei der Behandlung einer breiten Klasse von und alle, die einen kompakten Einstieg in freien Randwertproblemen. Im Elektroma- aktuelle Themenfelder der Mathematik gnetismus finden neben der Herleitung der suchen. klassischen Grundgleichungen auch Aspekte Zahlreiche Beispiele und Übungsaufgaben der Hysterese und Modelle zur Supraleitung stehen zur Verfügung, um die Anwendung Berücksichtigung. Das Studium mehrerer der Inhalte zu veranschaulichen. größerer Fallbeispiele ergänzt und erläutert weiter die dargebotenen Inhalte. Weitere Informationen finden Sie im Internet unter: www.birkhauser.ch/mathekompakt 2010. Etwa 150 S. Brosch. EUR (D) 18,90 / EUR (A) 19.43 / CHF 29.90 ISBN 978-3-7643-9974-0

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Diskrete Mathematik Maß und Integral Taraz, A., Technische Universität München Brokate, M., TU München, Garching / Kersting, G., Universität Frankfurt Mako – Mathematik Kompakt Mako – Mathematik Kompakt Geplant für Winter 2009 Geplant für Winter 2009 Dieses Buch führt kompakt in einige Kerngebiete der Diskreten Mathematik ein. Der Integralbegriff in seiner Ausprägung Es behandelt grundlegende Konzepte aus durch Lebesgue ist ein grundlegendes der Kombinatorik und der Graphentheorie. Werkzeug in der modernen Analysis, Darüber hinaus fokussiert es einerseits Numerik und Stochastik. Für auf thematische Einheiten wie endliche Lehrveranstaltungen in diesen Bereichen Geometrien und Ramseytheorie stellt das Buch in kompakter Weise sowie andererseits auf methodische wesentliche Sachverhalte bereit. Es liefert Schwerpunkte wie probabilistische Orientierung und Material für verschiedene und algebraische Techniken. So wird Varianten 2-stündiger Lehrveranstaltungen. den Lesenden klar, dass die Diskrete In einem ergänzenden Abschnitt werden Mathematik eine spannende Disziplin mit um den Begriff der Konvexität Verbünde zur eigenen Fragestellungen ist, die zahlreiche Funktionalanalysis hergestellt. interessante Bezüge zu den klassischen 2009. Etwa 150 S. Brosch. Anfängervorlesungen hat. Dieses Buch stellt EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 das Fachgebiet in idealer Tiefe für eine zwei- ISBN 978-3-7643-9972-6 bis vierstündige Lehrveranstaltung dar.

2009. Etwa 150 S. Brosch. EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 ISBN 978-3-7643-8898-0

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Mathematische Logik Einführung in die Ziegler, M., Universität Freiburg Finanzmathematik Mako – Mathematik Kompakt Albrecher, H., Radon Institut, Austrian Academy of Sciences, Linz / Binder, A., Geplant für Herbst 2009 MathConsult GmbH, Linz / Mayer, P., Technische Universität Graz Dieses Buch bietet eine Einführung in die verschiedenen Aspekte der mathematischen Mako – Mathematik Kompakt Logik, die jeder Mathematiker und Informatiker kennen sollte. Nach dem Optionen, Futures, Swaps, strukturierte Prädikatenkalkül und seinen Anwendungen Investments – auf den heutigen auf die Anfänge der künstlichen Intelligenz Finanzmärkten werden eine Fülle so wird die Mengenlehre axiomatisch genannter derivativer (abgeleiteter) dargestellt. Im dritten und vierten Teil Finanzinstrumente gehandelt. Deren werden die notwendigen Grundbegriffe der Bewertung und Risikomanagement Berechenbarkeitstheorie und die Hierarchie sind Gegenstand der modernen der in den natürlichen Zahlen definierbaren Finanzmathematik. Dieses Buch führt an Teilmengen eingeführt, um schließlich die entsprechende Fragestellungen, Denkweisen Gödelschen Unvollständigkeitssätze zu und Lösungskonzepte heran und legt dabei beweisen. Durch seinen klaren Stil und die besonderes Augenmerk auf praxisrelevante eingefügten Übungsaufgaben ist dieses Aspekte und Modelle. Die algorithmische Buch eine konzise Einführung in diese Umsetzung der Lösungskonzepte wird in Grundlagen der gesamten Mathematik. zahlreichen Beispielen mit dem Software- Paket “UnRisk” illustriert. Dieses wird 2009. Etwa 150 S. Brosch. Dozenten und Studierenden (zeitlich EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 ISBN 978-3-7643-9973-3 begrenzt) zur Verfügung gestellt und bietet über die Plattform "Mathematica" eine graphisch ansprechende Oberfläche. Die vorliegende Einführung ist speziell für Veranstaltungen in Bachelor-Studiengängen konzipiert.

2009. X, 163 S. Brosch. EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 ISBN 978-3-7643-8783-9

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Numerische Mathematik Algorithmische Methoden Eine Einführung anhand von Zahlen, Vektoren, Polynome Differentialgleichungsproblemen Kügler, P., Universität Linz / Windsteiger, W., Zulehner, W., Universität Linz Universität Linz Mako – Mathematik Kompakt Mako – Mathematik Kompakt

Numerische Mathematik, aufgeteilt in Gegenstand des Buches sind Algorithmen zwei Bände, ist eine Einführung in die zur Lösung gängiger Fragestellungen Numerische Mathematik anhand von der Analysis und der Linearen Algebra. Differentialgleichungsproblemen. Gegliedert Die Gliederung erfolgt anhand der nach elliptischen, parabolischen und mathematischen Objekte, die in den hyperbolischen Differentialgleichungen vorgestellten Methoden die zentrale wird zunächst jeweils die Diskretisierung Rolle spielen. So stehen im vorliegenden solcher Probleme besprochen. Als Buch Zahlen, Vektoren und univariate Diskretisierungstechniken stehen Polynome im Mittelpunkt, während in einem Finite-Elemente-Methoden im Raum nachfolgenden Band auf Algorithmen zu und (partitionierte) Runge–Kutta- Matrizen, Funktionen und multivariaten Methoden in der Zeit im Vordergrund. Die Polynomen eingegangen wird. Die diskretisierten Gleichungen dienen als Darstellung und Gegenüberstellung Motivation zur Diskussion von Methoden numerischer und symbolischer Methoden für endlichdimensionale lineare und bietet eine klare Übersicht über die nichtlineare Gleichungen, die anschließend entsprechenden Anwendungsfelder. als eigenständige Themen behandelt Tatsächliche Implementierungen in werden. Auf diese Weise wird versucht, nicht Mathematica und/oder Matlab der im Buch nur ein einführendes sondern auch ein in beschriebenen Algorithmen stehen als sich abgeschlossenes Bild der Numerischen Download zur Verfügung. Mathematik, zumindest in einem zentralen 2009. XII, 160 S. Brosch. Aufgabenbereich, zu vermitteln. EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 ISBN 978-3-7643-8434-0

Band 1: Stationäre Probleme Geplant für Winter 2009 T 2008. VI, 150 S. Brosch. EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 Algorithmische Methoden TEXTBOOK ISBN 978-3-7643-8426-5 Folgen, Funktionen, Matrizen

Geplant für Winter 2009 2009. XII, 160 S. Brosch. EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 Band 2: Instationäre Probleme ISBN 978-3-7643-8515-6 2009. Etwa 150 S. Brosch. EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 ISBN 978-3-7643-8428-9

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Mathematische Modelle T ten und kontinuierlichen Verteilungen werden erklärt, und der Umgang mit Erwartungswert, in der Biologie TEXTBOOK Varianz und bedingten Verteilungen wird Deterministische homogene Systeme vermittelt. Der Text reicht bis zum Zentralen Prüß, J.W., Universität Halle-Wittenberg / Grenzwertsatz (samt Beweis) und zu den Schnaubelt, R., Universität Karlsruhe / Anfängen der Markovketten. Je ein Kapitel ist Zacher, R., Universität Halle-Wittenberg Ideen der Statistik und der Informationstheo- rie gewidmet. Mako – Mathematik Kompakt 2008. 150 S. Brosch. Dieses Lehrbuch befasst sich mit mathema- EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 ISBN 978-3-7643-8430-2 tischen Modellen für dynamische Prozesse aus den Biowissenschaften. Behandelt Geplant für Oktober 2010 T werden Dynamiken von Populationen, Epi- TEXTBOOK demien, Viren, Prionen und Enzymen, sowie Zufallsvariable und Selektion in der Genetik. Das Buch konzen- Stochastische Prozesse triert sich auf Modelle, deren Formulierung Mako – Mathematik Kompakt auf gewöhnliche Differentialgleichungen führt. Schwerpunkte der Kapitel sind sowohl 2009. 150 S. Brosch. EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 die mathematische Modellierung als auch ISBN 978-3-7643-8432-6 die Analyse der resultierenden Modelle, sowie die biologische bzw. biochemische T

Interpretation der Ergebnisse. Übungs- Codierungstheorie und TEXTBOOK aufgaben zu den Kapiteln erleichtern die Kryptographie Vertiefung des Stoffes. Das Buch schlägt Willems, W., Universität Magdeburg eine Brücke zwischen elementaren Einfüh- rungen in die Modellierung biologischer und Mako – Mathematik Kompakt biochemischer Systeme und mathematisch anspruchsvoller Spezialliteratur. Im heutigen Informationszeitalter werden täglich riesige Mengen von digitalen Daten 2008. VIII, 176 S. Brosch. über Kanäle wie die Atmosphäre, die Tele- EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 ISBN 978-3-7643-8436-4 fonleitung oder Speichermedien übertragen. Dabei treten bei der Übertragung zwei zentra- T le Probleme auf: einerseits die Sicherung der Elementare Stochastik Daten gegenüber zufälligen Fehlern, die der TEXTBOOK Kersting, G. / Wakolbinger, A. Kanal verursacht (etwa durch Rauschen in der Universität Frankfurt Atmosphäre oder Kratzer auf der CD), andererseits die Sicherung der Information gegen- Mako – Mathematik Kompakt über unerlaubtem Lesen (etwa beim Pay-TV) oder sogar der Manipulation der Daten (etwa In der modernen Stochastik werden Wahr- beim Homebanking). Auf die erste Frage gibt scheinlichkeiten im Zusammenhang mit die Codierungstheorie, auf die zweite die Zufallsvariablen gedacht. Damit macht die- Kryptographie eine Antwort. Das Buch führt in ses Lehrbuch Ernst, schon die Welt uniform die wesentlichen Methoden der beiden The- verteilter Zufallsgrößen wird dann farbig. menkreise ein. Die Aufnahme von aktuellem Das Konzept der Zufallsgrößen prägt den Stoff, wie beispielsweise LDPC-Codes oder Aufbau des Buches. Es enthält neue Bei- dem AKS-Algorithmus, geben dem Text eine spiele und dringt auf knappem Raum weit in moderne Prägung. das Rechnen mit Zufallsvariablen vor, ohne Techniken aus der Maß- und Integrations- 2008. Etwa 150 S. Brosch. theorie zu bemühen. Die wichtigsten diskre- EUR (D) 18.90 / EUR (A) 19.43 / CHF 29.90 ISBN 978-3-7643-8611-5 131 Deutschsprachige Titel

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Elementare Zahlentheorie Analysis I Remmert, R., Westfälische Wilhelms- Amann, H., Universität Zürich / Escher, J., Universität Münster / Ullrich, P., Universität Universität Hannover Koblenz-Landau Grundstudium Mathematik Grundstudium Mathematik Dieses Lehrbuch ist der erste Band einer Um die Fragestellungen in der elementaren dreiteiligen Einführung in die Analysis. Zahlentheorie zu verstehen, reicht Es ist durch einen modernen und klaren die Fähigkeit zu zählen aus; um sie Aufbau geprägt, der versucht den Blick zu beantworten, bedarf es aber oft auf das Wesentliche zu richten. Anders als scharfsinniger Überlegungen und der in den üblichen Lehrbüchern wird keine Entwicklung fundamentaler Prinzipien. künstliche Trennung zwischen der Theorie So beginnt dieses Buch mit der einer Variablen und derjenigen mehrerer Primfaktorzerlegung und dem grössten Veränderlicher vorgenommen. Der Leser soll gemeinsamen Teiler, zwei Begriffen, die aus in dem Erkennen der wesentlichen Inhalte dem Schulunterricht bekannt sind, die bei und Ideen der Analysis geschult werden genauerer Betrachtung aber viel von ihrer und sich ein solides Fundament für das Selbstverständlichkeit verlieren. Auch der Studium tieferliegender Theorien erwerben. theoretische Hintergrund des aus dem Das Werk richtet sich an Hörer und Dozenten Alltag wohlvertrauten Dezimalsystems wird der Anfängervorlesung der Analysis. Durch erörtert. Weitere behandelte Themen sind zahlreiche Beispiele, Übungsaufgaben und Kongruenzenrechnung, primitive Wurzeln Ergänzungen zum üblichen Vorlesungsstoff und, zu guter Letzt, das Reziprozitätsgesetz ist der Text ausserdem zum Selbststudium, für quadratische Reste. Das vorliegende als Vorlage für vertiefende Seminare und Buch richtet sich an Dozenten und als Grundlage für das gesamte Mathematik- Studenten der Mathematik, Lehrer an bzw. Physikstudium geeignet. Realschulen und Gymnasien, jeden, der sich 2006. XV, 445 S. Brosch. für ein weit über dreitausend Jahre altes ISBN 978-3-7643-7755-7 Teilgebiet der Mathematik interessiert. EUR (D) 29.95 / EUR (A) 30.79 / CHF 44.90 Es setzt dabei keine Kenntnisse ausser elementarem Schulstoff voraus. Aufgrund Analysis II T seiner Ausführlichkeit lässt sich der Text TEXTBOOK nicht nur vorlesungsbegleitend verwenden, 2. Auﬂ. 2006. XII, 415 S. Brosch. sondern ist auch zum Selbststudium EUR (D) 29.95 / EUR (A) 30.79 / CHF 44.90 geeignet. Aufgaben am Ende eines jeden ISBN 978-3-7643-7105-0 Paragraphen üben den behandelten Stoff T ein und vertiefen ihn. Analysis III TEXTBOOK 2008. 280 S. Brosch. 2. Auﬂ. 2008. XII, 480 S. Brosch. EUR (D) 24.90 / EUR (A) 25.60 / CHF 39.90 EUR (D) 29.90 / EUR (A) 30.73 / CHF 49.90 ISBN 978-3-7643-7730-4 ISBN 978-3-7643-8883-6 132 Deutschsprachige Titel

T T

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Funktionentheorie in Algebra der Ebene und im Raum Artin, M. Massachusetts Institute of Gürlebeck, K., Bauhaus-Universität Technology, Cambridge, MA, USA Weimar / Habetha, K., RWTH Aachen / Grundstudium Mathematik Sprössig, W., TU Bergakademie Freiberg Grundstudium Mathematik Diese ungewöhnliche Einführung in lineare Algebra und Algebra ist über viele Die Funktionentheorie einer komplexen Jahre aus den Vorlesungsnotizen des Variablen hat heute höher-dimensionale Autors gewachsen und zeichnet sich aus Analoga: dabei wird die Algebra der durch einen harmonischen Aufbau des komplexen Zahlen durch die nicht- behandelten Stoffes. Als eine Besonderheit kommutative Algebra der reellen umfasst dieser nebst den üblichen Inhalten Quaternionen bzw. Clifford-Algebren ersetzt. auch die Betonung spezieller Themen In den letzten 30 Jahren hat sich die so wie Symmetrie, lineare Gruppen und genannte Quaternionen- und die reelle quadratische Zahlkörper. Der Text besticht Clifford-Analysis erfolgreich entwickelt. insbesondere durch eine für den Studenten Eine Vielzahl von Anwendungen haben diese besonders verständliche Präsentation Funktionentheorie höher-dimensionaler des Stoffes. Zahlreiche Beispiele und Variablen zu einem wichtigen Instrument Übungsaufgaben erhöhen seinen Wert als der Analysis und deren Anwendungen in studienbegleitende Literatur für die ersten der mathematischen Physik werden lassen. drei bis vier Semester des Studiums der Das Buch reflektiert den neuesten Stand Mathematik und verwandter Gebiete. der Forschung und entwickelt sowohl die 1998. XIII, 705 S. Brosch. höher-dimensionalen Ergebnisse als auch EUR (D) 39.95 / EUR (A) 41.07 / CHF 59.90 die klassischen komplexen Resultate aus ISBN 978-3-7643-5938-6 einem einheitlichen Begriff der Holomorphie. Der fundamentale Begriff der holomorphen T Lineare Algebra und Funktion als Lösung des Cauchy-Riemann- TEXTBOOK Systems wird im Höher-dimensionalen Analytische Geometrie unter Beibehaltung der Bezeichnung als Ein Lehrbuch für Physiker Lösung eines entsprechenden Systems und Mathematiker partieller Differentialgleichungen 1. Ordnung Bröcker, T. verstanden. Historische Bemerkungen, zahlreiche Beispiele, viele Abbildungen Grundstudium Mathematik sowie eine angemessene Auswahl von 2. Auﬂ. 2004. X, 366 S. Brosch. Übungsaufgaben festigen und erweitern die EUR (D) 29.95 / EUR (A) 30.79 / CHF 44.90 erworbenen Kenntnisse. ISBN 978-3-7643-7144-9

2006. XIII, 406 S. Mit CD-ROM. Brosch. EUR (D) 29.95 / EUR (A) 30.79 / CHF 44.90 ISBN 978-3-7643-7369-6 133 Deutschsprachige Titel

T Einführung in die T TEXTBOOK Funktionentheorie TEXTBOOK Weyl, H. / bearbeitet von Meyer, R., Universität Göttingen

Dieser Text ist die Transkription einer Vorlesung zur Funktionentheorie, die Hermann Weyl im Wintersemester 1910–11 an der Universität Göttingen Projektive Geometrie und gehalten hat, kurz vor der Entstehung seines Cayley–Klein Geometrien einflussreichen Buches über Riemannsche der Ebene Flächen, das auf der Fortsetzung dieser Vorlesung im Sommersemester 1911 beruht. Kowol, G., Universität Wien Weyl betont in dieser Vorlesung die kinematische Deutung gebrochen-linearer In diesem Buch wird am Beispiel der Transformationen und die Beziehungen ebenen reellen und komplexen projektiven zwischen konformen Abbildungen und Geometrie und der davon abgeleiteten Strömungstheorie. Höhepunkt der Vorlesung Cayley–Klein-Geometrien versucht ist der Vergleich der Riemannschen und aufzuzeigen, dass das Mathematisieren Weierstraßschen Behandlung mehrdeutiger eine weit über das Fachspezifische analytischer Funktionen durch Riemannsche hinausgehende Bedeutung hat – sowohl Flächen beziehungsweise analytische in erkenntnistheoretischer Hinsicht als Fortsetzung. auch in Bezug auf Anwendungen. Ersteres wird durch den anschaulich-synthetischen 2008. Etwa 220 S. Brosch. Zugang, der im Laufe der Darstellung EUR (D) 29.90 / EUR (A) 30.73 / CHF 49.90 ISBN 978-3-7643-8845-4 durch den analytischen ergänzt wird, belegt und durch philosophische und mathematikhistorische Erörterungen Erhabene Welten untermauert; letzteres erstreckt sich Das Leben Rolf Nevanlinnas auch auf wenig bekannte Anwendungen innerhalb der Botanik, Kristallografie, Lehto, O., Helsinki, Finnland Mechanik und Psychologie. Des weiteren Vita Mathematica, Vol. 14 werden bislang kaum bzw. nicht in Buchform dargestellte Themen behandelt wie: Rolf Nevanlinna (1895–1980) war ein Natürliche Geometrie von J. Hjelmslev, weltberühmter Mathematiker, eine Beweis des Parallelenaxioms nach P. umstrittene politische Gestalt, eine Lorenzen (konstruktive euklidische Autorität auf dem Gebiet der Kultur und Geometrie), Imaginärtheorie nach L. eine charismatische Persönlichkeit. In Locher–Ernst, Wegkurven und Wegflächen, allen Phasen seines Lebens waren die Koordinatisierung der Cayley–Klein- Mathematik und die Musik seine Leitsterne. Ebenen. Das Buch ist soweit wie möglich “Man muss sein Leben der Arbeit widmen elementar gehalten; nur eine Vertrautheit und nach den erhabenen Welten streben” mit mathematischer Argumentation war sein Motto. sowie Grundkenntnisse der euklidischen Durch die Entwicklung der später nach ihm Geometrie werden vorausgesetzt. benannten Nevanlinna-Theorie erlangte er

2009. Etwa 450 S. Geb. in den 1920er Jahren Weltruf. Er wurde zum EUR (D) 44.95 / EUR (A) 46.21 / CHF 75.– Professor der Universität Zürich berufen ISBN 978-3-7643-9901-6 und zum Präsidenten der Internationalen

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Mathematischen Union gewählt. Er blieb bis Von Zahlen und Grössen T zu seinem Lebensende eine einflussreiche Dritthalbtausend Jahre TEXTBOOK Kulturpersönlichkeit und zeichnete sich insbesondere als Sibelius-Spezialist aus. Theorie und Praxis Professor Olli Lehto (Helsinki), der Autor Band 2 dieser umfassenden Biographie, kannte Lüneburg, H., Universität Kaiserslautern Rolf Nevanlinna über viele Jahrzehnte, zunächst als Student, dann als Assistent Der zweite Band beginnt mit der großen und schließlich als Kollege. Das Buch Arbeit von Lagrange von 1770/71, die später gibt tiefgehende Einblicke in das Leben Galois inspirierte. Um sie zu verstehen, eines genialen Mathematikers und in die benötigt man den Begriff der Resultanten wechselvolle Geschichte Finnlands. von Polynomen. Dieser wird bereitgestellt, zusammen mit Algorithmen zu ihrer 2008. 310 S. Geb. EUR (D) 99.– / EUR (A) 101.77 / CHF 159.– Berechnung, die aus dem 20. Jahrhundert ISBN 978-3-7643-7701-4 stammen. Zentral sind dann Arbeiten von Steinitz und Galois. Für diese werden T transfiniten Methoden und Gruppen Von Zahlen und Grössen TEXTBOOK sowie der Geschichte beider Themen Dritthalbtausend Jahre entsprechender Raum gewidmet. Viel gesagt Theorie und Praxis wird auch über die Kreisteilungspolynome. Um die Transzendenz von Pi zu beweisen, Band 1 werden schließlich auch noch topologische Lüneburg, H., Universität Kaiserslautern Methoden behandelt.

Dieses Buch handelt von Mathematik und 2008. VII, 627 S. Geb. EUR (D) 99.– / EUR (A) 101.77 / CHF 159.– ihrer Geschichte. Die sorgfältige Analyse ISBN 978-3-7643-8778-5 dessen, was die Alten bewiesen – meist sehr viel mehr, als sie ahnten –, führt zu einem Set: Band 1 und 2 besseren Verständnis der Geschichte und zu einer guten Motivation und einem ebenfalls Von Zahlen und Grössen besseren Verständnis heutiger Mathematik. Dritthalbtausend Jahre Die Themen des ersten Bandes reichen Theorie und Praxis von der Konstruktion der reellen Zahlen Lüneburg, H., Universität Kaiserslautern mittels dedekindscher Schnitte bis hin zum Fundamentalsatz der Algebra. Dazwischen 2009. 1312 S. Set (Band 1 und 2). werden die Bücher V bis X der euklidischen EUR (D) 159.– / EUR (A) 163.46 / CHF 259.– ISBN 978-3-7643-8780-8 Elemente abgehandelt, wobei insbesondere die eudoxische Proportionenlehre (Buch V) eine zentrale Rolle spielt. Sie bietet einen Eine kleine Nachtphysik eleganten Zugang zu den Logarithmen, Geschichten aus der Physik so dass auch Neper ausführlich zu Wort Rößler, W., Linz kommt. Weitere Themen sind die natürlichen Zahlen und das Induktionsprinzip; Die Physik besitzt eine eigene Geschichte. die Entdeckung der Lösungsformeln Eine Geschichte, die geprägt ist von Erfolg der Gleichungen dritten und vierten und Scheitern, Hoffnung und zerschlagenen Grades; Polynomringe in beliebig vielen Träumen, Missgunst und Neid, Großzügigkeit Unbestimmten; symmetrische Polynome und und Charakterstärke, schöpferischem der Satz von Waring. Denken und einfacher Menschlichkeit. 2008. XXII, 655 S. Geb. Der Autor erzählt in allgemein verständlicher EUR (D) 99.– / EUR (A) 101.77 / CHF 159.– ISBN 978-3-7643-8776-1 135 Deutschsprachige Titel

Sprache von großen Ideen der Physik und das Leben des genialen Baslers nach, der insbesondere von den Menschen, die sie vor 300 Jahren geboren wurde, mit zwanzig schufen. Der Bogen ist dabei weit gespannt. Jahren seine Heimatstadt verliess – und nie Von Newton und Galilei zu Einstein, wieder zurückkehrte. Feynman, Fermi und Bohr. Von Faraday und 2007. 45 S. Geb. Maxwell zu Schrödinger, Dirac, Heisenberg EUR (D) 19.90 / EUR (A) 20.46 / CHF 28.– und Pauli. Von den ersten Anfängen der ISBN 978-3-7643-7779-3 Wissenschaft in der Antike zu den Fragen Titel in englischer Sprache: nach dem Wesen von Raum und Zeit und Seite 125. der Natur von Licht und Wärme. Von der Entdeckung des Atoms zur Formulierung T der Quantenmechanik. Von Beobachtungen Grundkurs Mathematik TEXTBOOK des Sternenhimmels zu grundlegenden in den Biowissenschaften Entdeckungen und Gedanken der modernen Braunß, H.-A. / Junek, H. / Krainer, T. Astronomie und Kosmologie. Die Ideen mögen mitunter abstrakt sein, Das vorliegende Lehrbuch wendet aber die Physik selbst, als eine ganz eigene sich speziell an Studierende Art, die Welt zu sehen, ist voller Leben – und biowissenschaftlicher Fachrichtungen Menschlichkeit. Davon erzählt dieses Buch. und trägt den Anforderungen der neuen Bachelor-Studienabschlüsse Rechnung. Es 1. Auﬂ. 2007. Korr. Nachdruck 2007. X, 275 S. Geb. EUR (D) 19.90 / EUR (A) 20.46 / CHF 29.90 eignet sich sowohl als Referenz als auch ISBN 978-3-7643-7743-4 als Begleitbuch für einen 1–2 semestrigen Kurs. Im Zentrum stehen Funktionen Leonhard Euler in einer reellen Variablen und ihre Anwendungen in den Biowissenschaften, Ein Mann, mit dem man rechnen kann insbesondere Fourieranalyse und Heyne, A.K. / Heyne, A.K. (Text) Differentialgleichungsmodelle. Eine Vielzahl Pini, E.S. (Zeichnungen) von Aufgaben dient der Vertiefung und aktiven Aneignung des Stoffes. In seinem Kopf stellte er die 2007. 206 S. 63 Abb. Brosch. mathematische Welt auf den Kopf. Er EUR (D) 22.– / EUR (A) 22.62 / CHF 33.– berechnete Flüssigkeitsströmungen, ISBN 978-3-7643-7709-0 das Trägheitsmoment, entwickelte die Variationsrechnung und die moderne Elemente der T Zahlentheorie. Als Wissenschaftler steht er TEXTBOOK auf einer Stufe mit Newton und Einstein. Musikinformatik Konstrukteure in aller Welt arbeiten Mazzola, G.B. tagtäglich mit seinen Formeln – egal ob es um den Schiffsrumpf der “Alinghi” geht oder “Kaum jemand wäre prädestinierter um die Schwingungen des “Viaduc de Millau”, als G. Mazzola, um kompetent in diese der Welt höchster Autobahnbrücke. Thematik einzuführen. Da das Buch auf Dabei war er ein Mensch, der bürgerliche seinen Vorlesungen basiert, die sich in Behaglichkeit und Ruhe liebte. Nicht der Kommunikation mit Studierenden ganz einfach zur Gründungszeit von St. bewähren mußten, ist auch ein hoher Petersburg inmitten russischer Kaisermorde Verständlichkeitsgrad gewährleistet.” oder im Berlin zur Zeit der schlesischen — Bernd Enders, Universität Osnabrück Kriege. Und erst recht nicht inmitten einer grossen Kinderschar. 2006. X, 245 S. 168 Abb. Brosch. EUR (D) 29.90 / EUR (A) 30.73 / CHF 48.– Der Comic von Elena Pini (Graphik) und ISBN 978-3-7643-7745-8 Alice und Andreas K. Heyne (Text) zeichnet

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Berechenbares Chaos in T Graßmann dynamischen Systemen TEXTBOOK Petsche, H.-J. Stoop, R. / Steeb, W.H. Vita Mathematica, Vol. 13 2006. XII, 264 S. Brosch. EUR (D) 29.90 / EUR (A) 30.73 / CHF 45.– “Mathematische Allgemeinbildung ist ISBN 978-3-7643-7550-8 weitgehend ausreichend für das Verständnis des sehr gehaltvollen und empfehlenswerten Textes.” Der jugendliche Einstein und — ekz-Bibliotheksservice / Informationsdienst Aarau 2006. XXII, 326 S. 47 Abb. Geb. EUR (D) 58.– / EUR (A) 59.63 / CHF 88.– Einsteins letztes Schuljahr - Relativität, ISBN 978-3-7643-7257-6 Brownsche Bewegung, Lichtquanten und Astrophysik Traumjob Mathematik! Hunziker, H. (Ed.) Berufswege von Frauen und Männern in "Wer sich darauf einlässt, wird schwitzen, der Mathematik aber auch an Einblick gewinnen". — Aargauer Abele, A.E. / Neunzert, H. / Tobies, R. Zeitung “Nicht alle Schüler lieben den 2005. IX, 205 S. Brosch. EUR (D) 24.– / EUR (A) 24.67 / CHF 35.– Mathematikunterricht. Doch auch jene, ISBN 978-3-7643-7444-0 die durchaus von diesem Fach begeistert sind, scheuen in den meisten Fällen ein entsprechendes Hochschulstudium. … Die Gleichungen der Physik T TEXTBOOK Doch eine interdisziplinäre Studie belegt: Meilensteine des Wissens es lohnt sich, Mathematik zu studieren. … Bais, S. Dieses Buch stellt Ergebnisse der Studie vor und zeichnet interessante Biographien von “Der Autor beschränkt sich bewusst darauf, Mathematiker(inne)n nach. Schüler(innen), die allgemeine Zusammenhänge verbal zu gut in Mathematik sind, sollten dieses Buch erläutern, was ihm sehr gut gelungen ist. Man unbedingt lesen – und vielleicht auch deren hat immer den Eindruck, dass der Text von Eltern.” — Die Welt einem Kenner der modernen Physik verfasst 2004. IX, 192 S. Brosch. worden ist, der seine Kenntnisse in den EUR (D) 28.– / EUR (A) 28.79 / CHF 44.– Dienst an den Leser stellt. Vor dem Leser wir ISBN 978-3-7643-6749-7 ein farbenprächtiges Gemälde entfaltet, das die Einheit und Schönheit der Physik betont Wissenschaft zwischen Qualitas und und dieser Wissenschaft sicherlich neue Freunde gewinnen wird. Ich denke, dass auch Quantitas Studenten der Physik von diesem Büchlein Neuenschwander, E. (Hrsg.) profitieren werden, weil es ihren Blick für die Physik als Ganzes schärft.” — Physik Journal “Durch die Vielfalt der Themen – antike Philosophie, Keplers Weltharmonik, Farbenlehre 2005. 96 S. Brosch. EUR (D) 14.90 / EUR (A) 15.32 / CHF 24.90 bei Newton und Goethe / Chemie, Physik, ISBN 978-3-7643-7235-4 Mathematik und Medizin (um nur einige zu nennen) – ist für jeden wissenschaftshistorisch Interessierten etwas dabei.” — Wurzel

2003. IX, 444 S. Geb. EUR (D) 84.– / EUR (A) 86.35 / CHF 128.– ISBN 978-3-7643-5383-4

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Optimierung, Operations T Einführung in die T Research, Spieltheorie TEXTBOOK mathematische Behandlung TEXTBOOK Mathematische Grundlagen der Naturwissenschaften 2 Borgwardt, K.H. Storrer, H.H. Birkhäuser Skripten, Vol. 8 Das vorliegende Buch gibt eine mathematisch fundierte Einführung in die Dieses Skript bildet die Grundlage vier Themenbereiche lineare Optimierung, einer einsemestrigen zweistündigen, nichtlineare Optimierung, ganzzahlige einführenden Vorlesung in Stochastik und kombinatorische Optimierung sowie für Studierende mit den Hauptfächern Spieltheorie. Es basiert auf Vorlesungen des Biologie, Geologie und Geographie an der Autors, die er während vielen Jahren gehalten Universität Zürich. Den Erfahrungen der hat. Praxis folgend, wird nicht so sehr Wert 2001. 642 S. Brosch. auf eine grosse Stoffülle, als auf eine EUR (D) 47.50 / EUR (A) 48.83 / CHF 68.– ausführliche und sorgfältige Darstellung ISBN 978-3-7643-6519-6 der Grundbegriffe gelegt. Entsprechend breit sind die Erläuterungen und Beispiele Einführung in die T gehalten. Der Inhalt umfasst beschreibende mathematische Behandlung TEXTBOOK Statistik, Wahrscheinlichkeitsrechnung und beurteilende Statistik, insbesondere der Naturwissenschaften 1 Konfidenzintervalle, t-Test und Storrer, H.H. x2-Quadrat-Test. Das Buch enthält über Birkhäuser Skripten, Vol. 2 200 Übungsaufgaben mit vollständig durchgerechneten Lösungen. Das Skript ist für Studierende der 1. Auﬂ. 1995. Korr. Nachdruck. 1995. 369 S. Brosch. Naturwissenschaften gedacht, die eine EUR (D) 29.90 / EUR (A) 30.73 / CHF 46.90 einführende Mathematikvorlesung ISBN 978-3-7643-5325-4 besuchen. Behandelt werden Differential- und Integralrechnung von einer und von mehreren Variablen einschliesslich Algebraische Geometrie Differentialgleichungen 1. Ordnung und Brodmann, M.

etwas Vektorrechnung. In einem Anhang 1989. Geb. sind zudem die wichtigsten Grundlagen EUR (D) 29.95 / EUR (A) 30.79 / CHF 44.90 aus der Mathematik der Gymnasialstufe ISBN 978-3-7643-1779-9 zusammengestellt. Erfahrungsgemäss kann der Stoff in seinen wesentlichen Teilen in einem Semster bewältigt werden. Besonderer Wert wird auf die ausführlichen Erläuterung aller vorkommender Begriffe und auf ihre Anwendung in Beispielen gelegt. Das Schwergewicht liegt dabei primär auf den praktischen Bedürfnissen der Benutzer von mathematischen Methoden und weniger auf dem theoretischen Hintergrund. Die vorliegende Neuauflage wurde durch Übungsaufgaben mit Lösungen ergänzt.

3., überarb. u. erw. Auﬂ. 1992. 5., korr. Nachdruck. 480 S. Brosch. EUR (D) 34.– / EUR (A) 34.96 / CHF 49.50 ISBN 978-3-7643-2810-8 138 Series Index

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Series in Pure and Applied Advances in Mathematical Fluid Mechanics Mathematics is a forum for the publication of high quality monographs, or collections of works, on the Advanced Courses in Mathematics mathematical theory of fluid mechanics, with special regards to the Navier-Stokes - CRM Barcelona equations. Its mathematical aims and Series Editor: Casacuberta, C. scope are similar to those of the Journal of Mathematial Fluid Mechanics. In particular, Since 1995 the Centre de Recerca mathematical aspects of computational Matemàtica (CRM) has organised a number methods and of applications to science and of Advanced Courses at the post-doctoral engineering are welcome as an important or advanced graduate level on forefront part of the theory. So also are works in research topics in Barcelona. The books in related areas of mathematics that have a this series contain revised and expanded direct bearing on fluid mechanics. versions of the material presented by the authors in their lectures. • Analysis and Simulation of Fluid Dynamics 69 • Combinatorial Number Theory and • Conformal and Potential Analysis in Hele- Additive Group Theory 7 Shaw Cells 70 • Contemporary Cryptology 110 • New Directions in Mathematical Fluid • Global Riemannian Geometry: Curvature Mechanics 86 and Topology 59 • Singular Limits in Thermodynamics of • Group-based Cryptography 14 Viscous Fluids 65 • Kolmogorov Equations for Stochastic PDEs 71 • Limit Cycles of Differential Equations 69 Applied and Numerical Harmonic • Numerical Solutions of Partial Differential Analysis Equations 98 Series Editor: Benedetto, J.J., University of • Polynomial Identity Rings 17 Maryland, College Park, MD, USA • Proper Group Actions and the Baum- Connes Conjecture 28 Applied and Numerical Harmonic Analysis • Ramsey Methods in Analysis 58 publishes works in harmonic analysis as • String Topology and Cyclic Homology 27 well as in engineering and scientific subjects • Symplectic Geometry of Integrable having a significant harmonic analysis Hamiltonian Systems 29 component. The interface among applied • The Geometry of the Word Problem for mathematics, science, and engineering is the Finitely Generated Groups 16 theme of all books in the series.Harmonic analysis is a wellspring of ideas and appli- Advances in Mathematical Fluid cability in mathematics, engineering, and the Mechanics sciences that has flourished, evolved, and deepened with continued research and Series Editors: Galdi, G.P., University of exploration. The intricate and fundamental Pittsburgh, USA / Heywood, J.G., University relationship between harmonic analysis of British Columbia, Vancouver, Canada / and general disciplines such as signal pro- Rannacher, R., University of Heidelberg, cessing, partial differential equations, and Germany image processing is reflected in this series. 139 Series Index

• A Software-Defined GPS and Galileo applications are in the focus of this book Receiver 103 series. Fast reviewing provides a most • Advances in Mathematical Finance 96 convenient way to publish latest results in • An Introduction to Frames and Riesz this rapid moving research area. Bases 59 • An Introduction to Wavelet Analysis 99 • Economic Models and Algorithms for • Approximation Theory 58 Distributed Systems 105 • Explorations in Hormonic Analysis 38 • Autonomic Clustering of Distributed • Foundations of Time-Frequency Agents 105 Analysis 104 • Four Short Courses on Harmonic Analysis 35 Birkhäuser Advanced Texts • Fourier Analysis on Finite Abelian Series Editors: Amann, H., University Groups 32 of Zürich, Switzerland / Krantz, S.G., • Frames and Bases 49 Washington University, St. Louis, USA / • Ideal Sequence Design in Time-Frequency Kumar, S., University of North Carolina at Space 101 Chapel Hill, Chapel Hill, USA / Nekovár, J., • Introduction to Partial Differential University Pierre et Marie Curie (Paris VI), Equations with MATLAB 72 France • Mathematics for Multimedia 86 • Methods of Applied Mathematics with a This series presents, at an advanced level, MATLAB Overview 99 introductions to some of the fields of • Recent Developments in Real and current interest in mathematics. Starting Harmonic Analysis 36 with basic concepts, fundamental results • Representations, Wavelets, and and techniques are covered, and important Frames 49 applications and new developments • Stochastic Models, Information Theory, discussed. The textbooks are suitable as and Lie Groups, Volume I 85 an introduction for students and non– • Wavelet Analysis and Applications 54 specialists.

• Elements of Nonlinear Analysis 72 Autonomic Systems • Elliptic Equations: An Introductory Series Editors: Brazier, F.M.T., VU University, Course 65 Amsterdam, The Netherlands / Rana, O.F., • Growth Theory of Subharmonic Cardiff University, Cardiff, UK / Functions 48 Strassner, J.C., Waterford Institute of • Methods of Nonlinear Analysis 54 Technology, Waterford, Ireland • Observation and Control for Operator Semigroups 73 The Autonomic Systems book series provides • Real Analysis 60 a platform of communication between • Superlinear Parabolic Problems 69 academia and industry by publishing • Symplectic Invariants and Hamiltonian research monographs, outstanding PhD Dynamics 27 theses, and peer-reviewed compiled • The Navier-Stokes Equations 60 contributions on the latest developments in the field of autonomic systems. It covers a broad range of topics from the Control Engineering theory of autonomic systems that are Series Editor: Levine, W.S., University of researched by academia and industry. Maryland, College Park, USA Hence, cutting-edge research, prototypical case studies, as well as industrial Control engineering is an increasingly diverse subject, whose technologies range 140 Series Index

from simple mechanical devices to complex • Advanced Algebra 15 electro-mechanical systems. Applications • Advanced Real Analysis 58 are seen in everything from biological • Basic Algebra 15 control systems to the tracking controllers of • Basic Real Analysis 58 CD players. Some methods, H-infinity design • Geometric Function Theory 55 for example, for the analysis and design of • Geometric Integration Theory 49 control systems are based on sophisticated mathematics while others, such as PID control, are understood and implemented Edizioni della Normale through experimentation and empirical Birkhäuser has taken over the international analysis. distribution of the English-language scientific titles of the Edizioni della Normale. • Control and Optimization of Multiscale The Edizioni della Normale are published by Process Systems 101 the Scuola Normale Superiore (SNS), the • Estimation and Control over internationally renowned study and research Communication Networks 102 centre in Pisa, Italy. • Fuzzy Modeling and Fuzzy Control 104 • Handbook of Networked and Embedded Colloquia: Control Systems 104 • Vol. 2. Colloquium De Giorgi 2007 and • Hybrid Dynamical Systems 28 2008 40 • PID Controllers for Time-Delay Systems CRM Series: 104 • Vol. 3. Maps into manifolds and currents: • Stability of Time-Delay Systems 104 area and W1,2-, W1/2-, BV-energies 55 • Vol. 5. Para-Differential Calculus and Applications to the Cauchy Problem for Cornerstones Nonlinear Systems 67 Series Editors: Epstein, C.L., University of • Vol. 6. Ettore Majorana 122 Pennsylvania, Philadelphia, USA / • Vol. 7. Mathematical Methods in Krantz, S.G., Washington University, St. Biomedical Imaging and Intensity- Louis, USA Modulated Radiation Therapy (IMRT) 93 • Vol. 8. Quantum Information and Many Cornerstones comprises textbooks that Body Quantum Systems 108 focus on what students need to know • Vol. 9. Singularities in Nonlinear Evolution and what faculty should teach regarding Phenomena 41 various selected topics in pure and applied Lecture Notes: mathematics and related subjects. Aimed • Vol. 2. An introduction to the regularity at aspiring young mathematicians at the theory for elliptic systems, harmonic maps advanced undergraduate to the second-year and minimal graphs 70 graduate level, books that appear in this • Vol. 3. Lectures on complex analysis and series are intended to serve as the definitive analytic geometry 55 advanced texts for the next generation of • Vol. 5. Lectures on the ElectroWeak mathematicians. By enlisting only expert Interactions 89 mathematicians and leading researchers • Vol. 7. Introduction to Stochastic Analysis in each field who are top-notch expositors and Malliavin Calculus 64 with established track records, Cornerstones • Vol. 8. Lecture Notes on Diophantine volumes are models of clarity that provide Analysis 42 authoritative modern treatments of the • Vol. 9. Interpolation Theory 41 essential subjects of pure and applied • Geometry of Yang-Mills fields 91 mathematics while capturing the beauty and Superior: excitement of mathematics for the reader. • Vol. 4. Diophantine Geometry 25

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Theses: Sections 56 • Vol. 4. Variational Problems in Transport • Invariant Probabilities of Markov-Feller Theory with Mass Concentration 109 Operators and Their Supports 82 • Vol. 5. Quantum Gases in Quasi-One- • Lifting Modules 16 Dimensional Arrays 89 • Nonlinear Stability of Finite Volume • Vol. 6. On the First-Order Theory of Real Methods for Hyperbolic Conservation Exponentiation 23 Laws 71 • Vol. 7. Submanifolds in Carnot Groups 23 • q-Clan Geometries in Characteristic 2 25 • Vol. 9. Extension problems in complex and • Regularity and Substructures of Hom 13 CR-geometry 45 • Schwarz-Pick Type Inequalities 44 • Vol. 10. Kolmogorov Operators in Spaces of • The Hardy Space of a Slit Domain 35 Continuous Functions and Equations for • The Mathematics of Minkowski Measures 66 Space-Time 23 • Vol. 12. The Flow Associated to Weakly • Transport Equations in Biology 94 Differentiable Vector Fields 43 Grundstudium Mathematik Frontiers in Mathematics Advisory Board: Bunimovich, L., Georgia • Algebra 133 Institute of Technology, Atlanta, USA / • Analysis I 132 Perthame, B., Ecole Normale Supérieure, • Analysis II 132 Paris, France / Saloff-Coste, L., Cornell • Analysis III 132 University, Rhodes Hall, USA / Shparlinski, I., • Elementare Zahlentheorie 132 Macquarie University, Sydney, Australia / • Funktionentheorie in der Ebene und im Sprössig, W., TU Bergakademie Freiberg, Raum 133 Germany / Villani, C., Ecole Normale • Lineare Algebra und Analytische Supéreure, Lyon, France Geometrie 133

This series is designed to be a repository for up-to-date research results which International Series of Numerical have been prepared for a wider audience. Mathematics Graduates and postgraduates as well Managing Editors: Hoffmann, K.-H., as scientists will benefit from the latest Technische Universität München, Germany / developments at the research frontiers in Leugering, G., Universität Erlangen- mathematics and at the “frontiers” between Nürnberg, Germany mathematics and other fields like computer science, physics, biology, economics, finance, International Series of Numerical etc. All volumes are online available at Mathematics is open to all aspects of SpringerLink. numerical mathematics. Some of the topics of particular interest include free • Applied Pseudoanalytic Function boundary value problems for differential Theory 64 equations, phase transitions, problems of • Approximation of Additive Convolution- optimal control and optimization, other Like Operators 51 nonlinear phenomena in analysis, nonlinear • Artinian Modules over Group Rings 16 partial differential equations, efficient • Extremum Problems for Eigenvalues of solution methods, bifurcation problems Elliptic Operators 57 and approximation theory. When possible, • Flag-transitive Steiner Designs 20 the topic of each volume is discussed from • Functional Identities 16 three different angles, namely those of • Infinite Matrices and their Finite

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mathematical modeling, mathematical • Optimal Stopping and Free-Boundary analysis, and numerical case studies. Problems 82 • The Geometry of the Group of Symplectic • Vol. 150. Nonlinear Smoothing and Diffeomorphism 114 Multiresolution Analysis 57 • Vol. 153. Nonlinear Partial Differential Equations with Applications 70 Linear Operators and Linear • Vol. 155. Control of Coupled Partial Systems Differential Equations 69 A subseries of: Operator Theory: Advances • Vol. 156. Singularly Perturbed Boundary- and Applications Value Problems 69 Subseries Editors: Alpay, D., Ben Gurion • Vol. 157. Inequalities and Applications 98 University of the Negev, Beer-Sheeva, Israel / • Vol. 158. Optimal Control of Coupled Ball, J.A., Virginia Tech, Blacksburg, USA / Systems of Partial Differential Ran, A.C.M., Vrije University of Amsterdam, Equations 63 The Netherlands

Lectures in Mathematics ETH The theory of linear operators has had an important influence on the development of Zürich mathematical systems theory. On the other hand, mathematical systems theory serves Each year the Eidgenössische Technische as a direct source of motivation and new Hochschule (ETH) at Zürich invites a techniques for the theory of linear operators selected group of mathematicians to give and its applications. The subseries Linear postgraduate seminars in various areas Operators and Linear Systems (LOLS) is of pure and applied mathematics. These dedicated to these connections between seminars are directed to an audience of the theory of linear operators and the many levels and backgrounds. Now some mathematical theory of linear systems. of the most successful lectures are being LOLS will continue in the tradition of the published for a wider audience through the series Operator Theory: Advances and Lectures in Mathematics, ETH Zürich series. Applications and maintain the high quality Lively and informal in style, moderate in of the volumes. Books published in LOLS will size and price, these books will appeal to be either monographs or consist of essays professionals and students alike, bringing presenting the state of the art and new a quick understanding of some important results. areas of current research. • Vol. 178. Factorization of Matrix and • Adaptive Finite Element Methods for Operator Functions: The State Space Differential Equations 71 Method 53 • Canonical Metrics in Kähler Geometry 28 • Vol. 182. Exponentially Dichotomous • Compact Riemann Surfaces 114 Operators and Applications 52 • Counting, Sampling and Integrating: Algorithms and Complexity 83 • Gradient Flows 52 Mathematics: • Hyperbolic Systems of Conservation Theory & Applications Laws 72 Series Editor: Wallach, N., University of • Introduction to the Baum-Connes California, San Diego, USA Conjecture 28 • Numerical Methods for Conservation Mathematics: Theory and Applications is a Laws 100 series of advanced level monographs and graduate textbooks that are designed to be 143 Series Index

of lasting value in the archival literature and Modeling and Simulation in to professional mathematicians and graduate Science, Engineering and students as comprehensive treatments of the subjects they cover. Technology Series Editor: Bellomo, N., Politecnico di

• Riemannian Geometry 29 Torino, Torino, Italy • Topics in the Theory of Algebraic Function Fields 9 The series publishes advanced textbooks, expository monographs, problem-solving guides, handbooks, and general references. Mathematik Kompakt Books examine and utilize the modeling and Series Editors: Brokate, M., Technische simulation of systems in applied sciences, Universität München, Germany / mathematics, and engineering. The goal Engl, H.W., Österreichische Akademie der is to create a bridge between applied Wissenschaften Linz , Austria / mathematicians, scientists, and research Hoffmann, K.-H., Technische Universität engineers utilizing modeling methods, tools, München, Germany / Kersting, G., Universität and techniques for complex problem solving. Frankfurt, Germany / Stroth, G., Universität The general framework is that of applied and Halle, Germany / Welzl, E., ETH Zürich ETH industrial mathematics. Zürich, Switzerland The series aim is to provide general science and engineering readerships with the Diese Lehrbuchreihe ist eine Reaktion auf essential (and practical) methodological die Umstellung der Diplomstudiengänge information on modeling methods while in Mathematik zu Bachelor- und developing guidelines to formulate and solve Masterabschlüssen. Inhaltlich werden technical problems. unter Berücksichtigung der neuen Studienstrukturen die aktuellen • Circuit Simulation with SPICE OPUS 101 Entwicklungen des Faches aufgegriffen • Continuum Mechanics using und kompakt dargestellt. Die modular Mathematica® 90 aufgebaute Reihe richtet sich an Dozenten • Data Modeling for Metrology and Testing in und Studierenden in Bachelor- und Measurement Science 97 Masterstudiengängen und alle, die einen • Generalized Collocation Methods 92 kompakten Einstieg in aktuelle Themenfelder • Mathematical Modeling of Complex der Mathematik suchen.Zahlreiche Biological Systems 95 Beispiele und Übungsaufgaben stehen zur • Mathematical Modeling of Biological Verfügung, um die Anwendung der Inhalte zu Systems, Volume I 94 veranschaulichen. • Mathematical Modeling of Biological Systems, Volume II 94 • Algorithmische Methoden 130 • Modeling Complex Living System 93 • Codierungstheorie und Kryptographie 131 • Modeling of Biological Materials 94 • Diskrete Mathematik 128 • Molecular Gas Dynamics 90 • Einführung in die Finanzmathematik 129 • Selected Topics in Cancer Modeling 93 • Elementare Stochastik 131 • Transport Phenomena and • Maß und Integral 128 Kinetic Theory 94 • Mathematische Logik 129 • Mathematische Modelle in der Biologie 131 Modern Birkhäuser Classics • Mathematische Modellierung 127 • Numerische Mathematik 130 • Zufallsvariable und Stochastische Many of the original research and Prozesse 131 survey monographs in pure and applied

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mathematics published by Birkhäuser in • Robust Nonlinear Control Design 75 recent decades have been groundbreaking • Set-Valued Analysis 74 and have come to be regarded as • Tata Lectures on Theta I 55 foundational to the subject. Through the • Tata Lectures on Theta II 55 MBC Series, a select number of these • Tata Lectures on Theta III 55 modern classics, entirely uncorrected, are • The Grothendieck Festschrift, being re-released in paperback (and as Volume I 26 eBooks) to ensure that these treasures • The Grothendieck Festschrift, remain accessible to new generations of Volume II 26 students, scholars, and researchers. • The Grothendieck Festschrift, Volume III 26 • A History of Algebraic and Differential • The Non-Euclidean Revolution 24 Topology, 1900–1960 121 • Topics from the Theory of Numbers 8 • Algebraic K-Theory 25 • Viability Theory 22 • Algorithms and Programming 108 • An Introduction to the Mechanics of Fluids 103 Monografie Matematyczne • Bernhard Riemann 1826-1866 123 Managing Editor: Wojtaszczyk, P., IMPAN • Beyond the Quartic Equation 14 and Warsaw University, Poland • Classic Papers in Combinatorics 8 • Differentiable Manifolds 24 Starting in the 1930s with volumes written • Discrete Thoughts 113 by such distinguished mathematicians as • Discriminants, Resultants, and Banach, Saks, Kuratowski, and Sierpinski, Multidimensional Determinants 15 the original series grew to comprise 62 • H-Infinity Optimal Control and Related excellent monographs up to the 1980s. Minimax Design Problems 75 In cooperation with the Institute of • Hyperbolic Manifolds and Discrete Mathematics of the Polish Academy of Groups 22 Sciences (IMPAN), Birkhäuser now resumes • Indiscrete Thoughts 113 this tradition to publish high quality • Intersection Cohomology 24 research monographs in all areas of pure • Knot Theory and Its Applications 25 and applied mathematics. • Linear Algebraic Groups 14 • Linear Differential Equations and Group • Vol. 67. The Monodromy Group 27 Theory from Riemann to Poincare 24 • Vol. 68. Shift-invariant Uniform Algebras • Linear Programming 107 on Groups 57 • Logic for Computer Scientists 5 • Vol. 69. The Bartle-Dunford-Schwartz • Loop Spaces, Characteristic Classes and Integral 51 Geometric Quantization 25 • Mathematical Control Theory 76 Monographs in Mathematics • Mathematics for the Analysis of Algorithms 109 Managing Editors: Amann, H., Universität • Metric Structures for Riemannian and Zürich, Switzerland / Bourguignon, J.-P., Non-Riemannian Spaces 26 IHES, Bures-sur-Yvette, France / Grove, K., • Notions of Convexity 54 University of Maryland, College Park, USA / • Number Theory 9 Lions, P.-L., Université de Paris-Dauphine, • Optimal Control and Viscosity Solutions of France Hamilton-Jacobi-Bellman Equations 75 • Perspectives on the History The foundations of this outstanding book of Mathematical Logic 123 series were laid in 1944. Until the end of • Riemann, Topology, and Physics 123 the 1970s, a total of 77 volumes appeared,

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including works of such distinguished Operator Theory: Advances and mathematicians as Carathéodory, Applications Nevanlinna and Shafarevich, to name a few. Series Editor: Gohberg, I., School of The series came to its name and present Mathematical Sciences, Tel Aviv University, appearance in the 1980s. In keeping its Ramat Aviv, Israel well-established tradition, only monographs of excellent quality are published in this This series is devoted to the publication of collection. current research in operator theory, with particular emphasis on applications to • Vol. 81. Ergodic Theory and Semisimple classical analysis and the theory of integral Groups 72 equations, as well as to numerical analysis, • Vol. 85. An Introduction to Quantum mathematical physics and mathematical Stochastic Calculus 83 methods in electrical engineering. • Vol. 99. Surface Evolution Equations 70 • Vol. 100. Theory of Function Spaces III 56 • Vol. 139. Spectral Theory of Linear Operators 53 Oberwolfach Seminars • Vol. 166. Symplectic Geometry and Quantum Mechanics 28 • Vol. 169. The Functional Calculus for The workshops organized by the Sectorial Operators 56 Mathematisches Forschungsinstitut • Vol. 177. Algebraic Multiplicity of Oberwolfach are intended to introduce Eigenvalues of Linear Operators 54 students and young mathematicians to • Vol. 179. Recent Advances in Matrix and current fields of research. By means of these Operator Theory 53 well-organized seminars, also scientists • Vol. 180. Optimal Domain and Integral from other fields will be introduced to new Extension of Operators 50 mathematical ideas. The publication of • Vol. 181. Operator Algebras, Operator these workshops in the series Oberwolfach Theory and Applications 51 Seminars makes the material available to an • Vol. 183. Elliptic Theory and even larger audience. Noncommutative Geometry 51 • Vol. 184 Nonlinear Parabolic- • Vol. 25. Lectures on Spaces of Nonpositive Hyperbolic Coupled Systems and Their Curvature 29 Attractor 66 • Vol. 33. The Novikov Conjecture 27 • Vol. 185. Commutative Algebras of • Vol. 34. The Mathematics of the Bose Gas Toeplitz Operators on the Bergman and its Condensation 91 Space 50 • Vol. 35. Tropical Algebraic Geometry 19 • Vol. 186. Methods of Spectral Analysis in • Vol. 36. Topological and Bivariant Mathematical Physics 48 K-Theory 25 • Vol. 187. Recent Advances in Operator • Vol. 37. Hemodynamical Flows 92 Theory and Applications 38 • Vol. 38. Discrete Differential Geometry 24 • Vol. 188. Spectral Theory in Inner Product • Vol. 39. Lectures on Algebraic Spaces and Applications 47 Statistics 79 • Vol. 189. New Developments in Pseudo- • Vol. 40. Applications of Teichmüller Theory Differential Operators 46 to 3-Manifolds 34 • Vol. 190 and 191. Modern Analysis and • Vol. 42. An Introduction to Analysis, Applications 40 Adaptivity and Multigrid for Variational • Vol. 192. Holomorphic Operator Inequalities 92 Functions of One Variable and • Conformal Differential Geometry 18 Applications 37

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• Vol. 193. Analysis, Partial Differential Progress in Mathematical Physics Equations and Applications 61 Editors-in-Chief: Boutet de Monvel, A., • Vol. 194. Tauberian Operators 36 Université Paris VII Denis Diderot, France / • Vol. 195. Operator Algebras, Operator Kaiser, G., The Center for Signals and Waves, Theory and Applications 32 Austin, TX, U.S.A. • Vol. 196. Boundary Integral Equations on Contours with Peaks 33 Progress in Mathematical Physics is a book • Vol. 197. Characteristic Functions, series encompassing all areas of theoretical Scattering Functions and Transfer and mathematical physics. It is intended Functions 34 for mathematicians, physicists, and other • Vol. 198. Recent Advances in Operator scientists, as well as graduate students in Theory in Hilbert and Krein Spaces 30 the above related areas. This distinguished • Vol. 199 Numerical Methods for Structured collection of books includes authored Matrices and Applications 96 monographs and textbooks, the latter • Vol. 200. A State Space Approach to primarily at the senior undergraduate and Canonical Factorization with graduate levels. Edited collections of articles Applications 30 on important research developments or • Convolution and Singular Integral expositions of particular subject areas may Equations 31 also be included.

Probability and its Applications • Vol. 26. Mathematical Methods in Physics 59 Series Editors: Newman, C., New York • Vol. 41. Slow Rarefied Flows 70 University, USA / Resnick, S.I., Cornell • Vol. 43. Continuum Thermomechanics 91 University, Ithaka, USA • Vol. 48. Quantum Decoherence 90 • Vol. 49. Planar Ising Correlations 90 Probability and its Applications publishes • Vol. 50. Conformal Groups in Geometry and research-level monographs and advanced Spin Structures 24 graduate texts dealing with all aspects • Vol. 51. Integrable Systems in Celestial of probability theory and stochastic Mechanics 66 processes, as well as their connections • Vol. 52. Gravitation and Experiment 90 with and applications to other areas such • Vol. 53. Quantum Spaces 90 as mathematical statistics and statistical • Vol. 54. Intermediate Spectral Theory and physics. Quantum Dynamics 89 • Vol. 55. The Spin 88 • Point Process Theory and Applications 82 • Vol. 56. Spacetime, Geometry and • Handbook of Brownian Motion - Facts and Gravitation 87 Formulae 83 • Vol. 57. Entropy and Information 85 • Vol. 58. Propagation of Waves and the Progress in Computer Science and Equations of Hydrodynamics 33 • Vol. 59. Counting Surfaces 84 Applied Logic Series Editor: Cherniavski, J.C., National Science Foundation, Washington, USA

• A Graph-Theoretic Approach to Enterprise Network Dynamics 110

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Progress in Mathematics Automorphic Forms 15 Series Editors: Bass, H., University of • Vol. 256. Spectral Theory of Infinite-Area Michigan, USA / Oesterlé, J., Institut Henri Hyperbolic Surfaces 68 Poincaré, Université Paris VI, France / • Vol. 258. Eisenstein Series and Weinstein, A., University of California, Applications 8 Berkeley, USA • Vol. 259. An Introduction to the Heisenberg Group and the Sub-Riemannian Progress in Mathematics is a series of books Isoperimetric Problem 26 intended for professional mathematicians • Vol. 261. Polynomial Convexity 54 and scientists, encompassing all areas of • Vol. 262. L’isomorphisme entre les tours de pure mathematics. This distinguished series, Lubin-Tate et de Drinfeld 25 which began in 1979, includes research • Vol. 263. Walks on Ordinals and Their level monographs, polished notes arising Characteristics 9 from seminars or lecture series, graduate • Vol. 264. Determinantal Ideals 15 level textbooks, and proceedings of focused • Vol. 265. Geometry and Dynamics of and refereed conferences. It is designed Groups and Spaces 25 as a vehicle for reporting ongoing research • Vol. 266. Vanishing and Finiteness Results as well as expositions of particular subject in Geometric Analysis 22 areas. • Vol. 267. Suites de Sturm, indice de Maslov et périodicité de Bott 22 • Vol. 41 Combinatorics and Commutative • Vol. 268. Metric Foliations and Algebra 10 Curvature 20 • Vol. 93. Torus Actions on Symplectic • Vol. 271. Riemannian Topology and Manifolds 28 Geometric Structures on Manifolds 21 • Vol. 111. Morse Homology 60 • Vol. 272. Dimension and Recurrence in • Vol. 117. Holomorphic Curves in Symplectic Hyperbolic Dynamics 67 Geometry 29 • Vol. 273. Stable Homotopy Around the • Vol. 118. Lectures on the Geometry of Arf-Kervaire Invariant 21 Poisson Manifolds 29 • Vol. 274. Frobenius Categories Versus • Vol. 176. Tree Lattices 11 Brauer Blocks 13 • Vol. 194. Cohomological Theory of • Vol. 275. Families of Conformally Covariant Dynamical Zeta Functions 28 Differential Operators, Q-Curvature and • Vol. 212. Subgroup Growth 17 Holography 19 • Vol. 233. Singular Sets of Minimizers for • Vol. 276. Fourier–Mukai and Nahm the Mumford-Shah Functional 58 Transforms in Geometry and Mathematical • Vol. 236. D-Modules, Perverse Sheaves, Physics 18 and Representation Theory 14 • Vol. 277. Quantitative Arithmetic of • Vol. 240. Perturbation Methods and Projective Varieties 7 Semilinear Elliptic Problems on Rn 99 • Vol. 241. On the Topology of Isolated Progress in Nonlinear Differential Singularities in Analytic Spaces 56 • Vol. 246. Differential Geometry and Equations and Their Applications Analysis on CR Manifolds 26 Series Editor: Brezis, H., Université de Paris, • Vol. 249. An Invitation to Quantum France, and Rutgers University, USA Cohomology 26 • Vol. 251. Rigorous Quantum Field Progress in Nonlinear Differential Equations Theory 90 and Their Applications is a book series that • Vol. 254. Holomorphic Morse Inequalities lies at the interface of pure and applied and Bergman Kernels 53 mathematics. Many differential equations • Vol. 255. Representation Theory and are motivated by problems arising in

148 Series Index diversified fields such as mechanics, Pseudo-Differential Operators physics, differential geometry, engineering, Theory and Applications control theory, biology and economics. This series is open to both the theoretical Series Editor: Wong, M.W., University of and applied aspects, hopefully stimulating Toronto, Canada a fruitful interaction between the two sides. It will publish monographs, polished Pseudo-Differential Operators: Theory notes arising from lectures and seminars, and Applications is a series of moderately graduate level texts, and proceedings of priced graduate-level textbooks and focused and refereed conferences. monographs appealing to students and experts alike. Pseudo-differential operators are understood in a very broad sense and • Vol. 16. Analytic Semigroups and Optimal Regularity in Parabolic Problems 60 include such topics as harmonic analysis, PDE, geometry, mathematical physics, • Vol. 70. Vortices in the Magnetic Ginzburg- Landau Model 69 microlocal analysis, time-frequency analysis, imaging and computations. Modern trends • Vol. 72. Selfdual Gauge Field Vortices 67 and novel applications in mathematics, • Vol. 73. The Maximum Principle 54 natural sciences, medicine, scientific • Vol. 74. Nonlinear Oscillations of Hamiltonian PDEs 68 computing, and engineering are highlighted. • Vol. 75. Differential Equations, Chaos and Variational Problems 68 • Vol. 1. Quantization and Arithmetic 22 • Vol. 2. Pseudo-Differential Operators and • Vol. 76. Global Propagation of Regular Nonlinear Hyperbolic Waves 62 Symmetries 62 • Vol. 3. Global Pseudo-differential Calculus on Euclidean Spaces 61 Progress in Probability Series Editors: Newman, C., New York Statistics for Industry and University, USA / Resnick, S. I., Cornell University, Ithaka, USA Technology Series Editor: Balakrishnan, N., McMaster Progress in Probability is designed for the University, Hamilton, Canada publication of workshops, seminars and conference proceedings on all aspects Statistics plays a critical role in any modern of probability theory and stochastic use of technology in science and industry. processes, as well as their connections Statistical concepts and methods are with and applications to other areas such developed and applied in industries for as mathematical statistics and statistical various problems – for example, in order physics. to monitor the quality of products, to plan effective and efficient designs to improve • Vol. 59. Seminar on Stochastic Analysis, standards, to test and analyze the quality Random Fields and Applications V 81 of items produced, and to accept (reject) • Vol. 60. In and Out of Equilibrium 2 80 conforming (nonconforming) units produced. • Vol. 61. Fractal Geometry and The increased attention paid to these Stochastics IV 77 problems, and accompanying new statistical • Vol. 62. Spin Glasses: Statics and methodologies, has created an active Dynamics 78 and valuable new area of research and application-industrial statistics.

• Advances in Data Analysis 77

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• Advances in Mathematical and Statistical an effort to demonstrate the most recent Modeling 79 advances in systems and control. The study • An Introduction to Queueing Theory 80 spans the gamut of areas from information • Scan Statistics 78 technology (particularly communication • Statistical Models and Methods for networks), to biotechnology (particularly Biomedical and Technical Systems 80 mathematical biology) and economics.

• Advances in Statistical Control, Algebraic Studies in Systems Theory, and Dynamic Systems Universal Logic Characteristics 74 Series Editor: Béziau, J.-Y., • Control of Turbulent and Brazilian Research Council, Fortaleza, Brazil Magnetohydrodynamic Channel Flows 75 • Delay Compensation for Nonlinear, This series is devoted to the universal Adaptive, and PDE Systems 73 approach to logic and the development of • Filtering Theory 109 a general theory of logics. It covers topics • Numerical Methods for Controlled such as global set-ups for fundamental Stochastic Delay Systems 74 theorems of logic and frameworks for the • Representation and Control of Infinite study of logics, in particular logical matrices, Dimensional Systems 76 Kripke structures, combination of logics, • Set-Theoretic Methods in Control 74 categorical logic, abstract proof theory, • Stability of Dynamical Systems 75 consequence operators, and algebraic logic. • Switching in Systems and Control 76 It includes also books with historical and • The Mathematics of Internet Congestion philosophical discussions about the nature Control 76 and scope of logic. Three types of books will appear in the series: graduate textbooks, research monographs, and volumes with Trends in Mathematics contributed papers. Trends in Mathematics is a series devoted • Completeness Theory for Propositional to the publications of volumes arising from Logics 4 conferences and lecture series focusing • Institution-independent Model Theory 4 on a particular topic from any area of • Universal Algebraic Logic 4 mathematics. Its aim is to make current developments available to the community as rapidly as possible without compromise to Systems & Control: Foundations & quality and to archive these for reference. Applications Series Editor: Basar, T., University of Illinois, • Analysis and Mathematical Physics 39 Urbana-Champaign, IL, USA • C*-algebras and Elliptic Theory 56 • C*-algebras and Elliptic Theory II 52 Systems and Control: Foundations and • Combinatorial and Geometric Group Applications aims to publish top quality Theory 12 state-of-the-art textbooks and research • Complex Analysis 31 monographs at the graduate and post- • Hypercomplex Analysis 45 graduate levels in systems, control, and • Modules and Comodules 14 related fields. Books in the series take care • Positivity 53 to explain and build upon the essential • Ring and Module Theory 12 foundational elements of the field. • Set Theory 5 Additionally, established and emerging applications are developed and utilized in

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Whitestein Series in Software Series in History of Science Agent Technologies and Autonomic Computing Contemporary Mathematicians Series Editors: Walliser, M., Whitestein Series Editor: Kung, J.P. S. Technologies, Zürich, Schweiz / Brantschen, S., S. Whitestein Technologies, Publishing the collected works of outstanding Zürich, Schweiz / Calisti, M., Whitestein mathematicians remains a vital tradition in Technologies, Zürich, Schweiz/ scientific publishing. Very often the works Herbstritt, M., Birkhäuser Verlag, Basel, of a mathematician are in a scattered state, Schweiz published in diffuse forms, and inaccessible. The bringing together of these works and This series reports new developments papers into organized, annotated volumes in agent-based software technologies creates a unique opportunity for historical, and agent-oriented software engineering biographical, and mathematical perspectives methodologies, with particular emphasis to emerge. Present and future generations on applications in the area of autonomic of mathematicians will find these collected computing and communications. works to be of lasting significance. The spectrum of the series includes research monographs, high quality notes • Selected Works of A.I. Shirshov 118 resulting from research and industrial projects, outstanding Ph.D. theses, and Leonhard Euler, Opera Omnia the proceedings of carefully selected conferences. The series is targeted at promoting advanced research and Euler’s papers and books are fundamental to facilitating know-how transfer to industrial every branch of the mathematical sciences. use. They are clearly and beautifully written, well explained and illustrated by examples. The Opera Omnia belong in any major working • Advanced Agent-Based Environmental Management Systems 106 library concerned with mathematics and its applications. • Advanced Autonomic Networking and Communication 109 • Correspondance de Leonhard Euler avec L. • Agent Technology and e-Health 109 Bertrand, Ch. Bonnet, J. Castillon, G. Cramer, • Bidding Strategies in Agent-Based Continuous Double Auctions 108 Ph. Cramer, G. Cuenz, G.L. Lesage, J.M. von Loen et J.K. Wettstein 116 • CASCOM: Intelligent Service Coordination in the Semantic Web 107 • Defense Industry Applications of Nexus Network Journal Autonomous Agents and Multi-Agent Series Editor: Williams, K. Systems 108 • Emerging Web Services Technology Founded in 1999, the Nexus Network Volume III 106 Journal (NNJ) is a peer-reviewed journal for • Emerging Web Services Technology researchers, professionals and students Volume II 107 engaged in the study of the application of • Issues in Multi-Agent Systems 107 mathematical principles to architectural • The Agent Modeling Language - AML 110 design. Its goal is to present the broadest possible consideration of all aspects of the relationships between architecture and mathematics, including landscape architecture and urban design. 151 Series Index

• Nexus Network Journal 11,3 111 • Japanese Mathematics in the Edo Period • Nexus Network Journal 11,2 111 (1600-1868) 117 • Nexus Network Journal 11,1 112 • The Algebraic Mind 115 • Nexus Network Journal 10,2 112 • Nexus Network Journal 10,1 112 • Nexus Network Journal 9,2 112 The Collected Scientific Papers • Nexus Network Journal 9,1 112 of the Mathematicians and Physicists of the Bernoulli Family Publications des Archives Henri General Editor: Radelet-de Grave, P., Institut de Physique Théorique, Louvain-la- Poincaré / Publications of the Neuve, Belgium Henri Poincaré Archives • Die Werke von Johann I und Nicolaus II • La correspondance entre Henri Poincaré et Bernoulli 124 les astronomes et géodésiens 115 • One Hundred Years of Intuitionism (1907–2007) 123 Vita Mathematica Series Editor: Fellmann, E.A.

Science Networks. Historical The series Vita Mathematica traces the Studies professional lives of many of the world’s Series Editors: Knobloch, E., Technische great mathematicians – from antiquity to Universität Berlin, Germany / Kragh, H., the present day. These books are written University of Aarhus, Denmark / Scholz, E., broadly following the same pattern and take Bergische Universität, Gesamthochschule into consideration the research carried out Wuppertal, Germany on the history of science in recent decades.

The publications in this series are limited • Vol. 11. Evariste Galois (1811-1832) 126 to the fields of mathematics, physics, • Vol. 13. Graßmann 137 astronomy, and their applications. The series • Vol. 14. Erhabene Welten 134 is primarily designed to publish monographs. Annotated sources and exceptional biographies might be accepted in rare cases. The series is aimed primarily at historians of science and libraries; it should also appeal to interested specialists, students, and diploma and doctoral candidates.

• Vol. 32. Tool and Object 125 • Vol. 33. Geometry and Monadology 125 • Vol. 34. Jacopo da Firenze’s Tractatus Algorismi and Early Italian Abbacus Culture 125 • Vol. 35. Lacroix and the Calculus 123 • Vol. 36. Patterns of Change 124 • Vol. 37. The Moon that Wasn’t 122 • Vol. 38. The World as a Mathematical Game 119 • Vol. 39. The First Professional Scientist 118

152 Journals

Journal of Pseudo-Differential Operators and Applications Editors-in-Chief: Rodino, L., Università di Torino, Italy Wong, M. W., York University, Canada

ISSN: 1662-9981 (print) New ISSN: 1662-999X (electronic) Journal 2010, Vol. 1 (4 issues)

www.birkhauser.ch/JPDOA

The Journal of Pseudo-Differential Operators Gramchev, T., Università di Cagliari, Italy and Applications is a forum for high quality Helffer, B., Université Paris-Sud, France papers in the mathematics, applications and Iosevich, A., University of Missouri- numerical analysis of pseudo-differential Columbia, USA operators. Pseudo-differential operators Lerner, N., Université Paris 6, France are understood in a very broad sense Ma, L., Tsinghua University, China embracing but not limited to harmonic Morimoto, Y., Kyoto University, Japan analysis, functional analysis, operator theory Oberguggenberger, M., Universität and algebras, partial differential equations, Innsbruck, Austria geometry, mathematical physics and novel Okoudjou, K.A., University of Maryland- applications in engineering, geophysics and College Park, USA medical sciences. Oliaro, A., Universit_a di Torino, Italy Peng, L., Peking University, China Pilipovic, S., University of Novi Sad, Serbia Editorial Board: Popivanov, P., Bulgarian Academy of Agranovich, M., Moscow Institute of Electronics Sciences, Bulgaria and Mathematics, Russia Rabinovich, V.S., Instituto Politechnico Bergamasco, A., Universidad de São Paulo, Nacional, Mexico Brazil Ruzhansky, M.,Imperial College London, UK Boggiatto, P., Università di Torino, Italy Sjöstrand, J., Ecole Polytechnique, France Chen, H., Wuhan University, China Schulze, B.-W., Universtät Potsdam, Cohen, L., City University of New York, USA Germany de Gosson, M., University of Vienna, Austria Thangavelu, S., Indian Institute of Science at de Hoop, M., Purdue University, USA Bangalore, India Fernández, C., Universidad de Valencia, Spain Toft, J., Växjö University, Sweden Furutani, K., Tokyo University of Science, Japan Wakabayashi, S., University of Tsukuba, Galbis, A., Universidad de Valencia, Spain Japan Grafakos, L., University of Missouri-Columbia, Witt, I., Universität Göttingen, Germany USA Zhu, H., York University, Canada

153 Journals

Advances in Applied Clifford Algebras Editor-in-Chief: Keller, J., Universidad Nacional Autónoma de México, México ISSN: 0188-7009 (print) ISSN: 1661-4909 (electronic) Special subscription rates for private customers. 2010, Vol. 20 (4 issues) Impact Factor: 0.396 (2008) AMS Mathematical Citation Quotient (MCQ): 0.17 (2007)

www.birkhauser.ch/AACA

Aequationes Mathematicae Editor-in-Chief: Páles, Z., University of Debrecen, Hungary Managing Editor: Gilányi, A., University of Debrecen, Hungary ISSN: 0001-9054 (print) ISSN: 1420-8903 (electronic) 2010, Vols. 79-80 (3 issues per volume) AMS Mathematical Citation Quotient (MCQ): 0.22 (2007)

www.birkhauser.ch/AEM

algebra universalis Editor-in-Chief: Grätzer, G., University of Manitoba, Winnipeg, MB, Canada ISSN: 0002-5240 (print) ISSN: 1420-8911 (electronic) 2010, Vols. 63-64 (4 issues per volume) Impact Factor: 0.313 (2008) AMS Mathematical Citation Quotient (MCQ): 0.39 (2007)

www.birkhauser.ch/AU

154 Journals

Annales Henri Poincaré A Journal of Theoretical and Mathematical Physics Editor-in-Chief: Rivasseau, V., Université Paris Sud-XI, France ISSN: 1424-0637 (print) ISSN: 1424-0661 (electronic) 2010, Vol. 11 (8 issues) Impact Factor: 1.234 (2008) AMS Mathematical Citation Quotient (MCQ): 0.58 (2007) www.birkhauser.ch/AHP

Annals of Combinatorics Managing Editors: Chen, W.Y.C., Nankai University, Tianjin, China Andrews, G.E., Pennsylvania State University, PA, USA Paule, P., University of Linz, Austria ISSN: 0218-0006 (print) ISSN: 0219-3094 (electronic) 2010, Vol. 14 (4 issues) Impact Factor: 0.460 (2008) AMS Mathematical Citation Quotient (MCQ): 0.40 (2007) www.birkhauser.ch/AC

Archiv der Mathematik Managing Editor: Gekeler, E.-U., University of Saarland, Saarbrücken, Germany Technical Editor: Wilk-Pitz, C., University of Saarland, Saarbrücken, Germany ISSN: 0003-889X (print) ISSN: 1420-8938 (electronic) 2010, Vols. 94-95 (6 issues per volume) Impact Factor: 0.500 (2008) AMS Mathematical Citation Quotient (MCQ): 0.40 (2007) www.birkhauser.ch/AdM

155 Journals

Circuits, Systems & Signal Processing Editor-in-Chief: Swamy, M.N.S., Concordia University, Montreal, Canada ISSN: 0278-081X (print) ISSN: 1531-5878 (electronic) 2010, Vol. 29 (6 issues) Special subscription rates for private customers. Impact Factor: 0.396 (2008)

www.birkhauser.ch/CSSP

Complex Analysis and Operator Theory Editor-in-Chief: Alpay, D., Ben Gurion University of the Negev, Be’er-Sheva, Israel ISSN: 1661-8254 (print) ISSN: 1661-8262 (electronic) 2010, Vol. 4 (4 issues per volume)

www.birkhauser.ch/CAOT

computational complexity Editor-in-Chief: von zur Gathen, J., University of Bonn, Germany Associate Editors: Arora, S., Princeton University, Princeton, NJ; Bürgisser, P., University of Paderborn, Germany; Goldreich, O., The Weizmann Institute, Rehovot, Israel ISSN: 1016-3328 (print) ISSN: 1420-8954 (electronic) 2010, Vol. 19 (4 issues) Impact Factor: 1.562 (2008) AMS Mathematical Citation Quotient (MCQ): 0.59 (2007)

www.birkhauser.ch/CC

156 Journals

Geometric and Functional Analysis Editors: Donaldson, S., Imperial College, London, UK Gromov, M., IHES, Bures-sur-Yvette, France Milman, V., Tel Aviv University, Israel Sarnak, P., Princeton University, NJ, USA ISSN: 1016-443X (print) ISSN: 1420-8970 (electronic) 2010, Vol. 20 (6 issues) Impact Factor: 1.024 (2008) AMS Mathematical Citation Quotient (MCQ): 1.34 (2007) www.birkhauser.ch/GAFA

Integral Equations and Operator Theory Editors: Gohberg, I., Tel Aviv University, Israel Tretter, C., University of Bern, Switzerland ISSN: 0378-620X (print) ISSN: 1420-8989 (electronic) 2010, Vols. 66-68 (4 issues per volume) Impact Factor: 0.460 (2008) AMS Mathematical Citation Quotient (MCQ): 0.66 (2007) www.birkhauser.ch/IEOT

Journal of Evolution Equations Editors-in Chief: Arendt, W., University of Ulm, Germany Nagel, R., University of Tübingen, Germany ISSN: 1424-3199 (print) ISSN: 1424-3202 (electronic) 2010, Vol. 10 (4 issues) Special subscription rates for private customers. Impact Factor: 0.683 (2008) AMS Mathematical Citation Quotient (MCQ): 0.88 (2007) www.birkhauser.ch/JEE

157 Journals

Journal of Fixed Point Theory and Applications Editor-in Chief: Granas, A., Université de Montreal, Canada Managing Editors: Gauthier, G., Université du Québec à Montréal, Canada Lee, J.W., Oregon State University, USA

ISSN: 1661-7738 (print) ISSN: 1661-7746 (electronic) 2010, Vols. 7-8 (2 issues per volume)

www.birkhauser.ch/JFPTA

Journal of Fourier Analysis and Applications Editor-in-Chief: Feichtinger, H.G., University of Vienna, Austria ISSN: 1069-5869 (print) ISSN: 1531-5851 (electronic) 2010, Vol. 16 (6 issues) Special subscription rates for private customers. Impact Factor: 1.028 (2008) AMS Mathematical Citation Quotient (MCQ): 0.84 (2007)

www.birkhauser.ch/JFAA

Journal of Geometry Editorial Office: Kroll, H.-J., Technical University of Munich, Germany ISSN: 0047-2468 (print) ISSN: 1420-8997 (electronic) 2010, Vols. 97-99 (2 issues per volume) AMS Mathematical Citation Quotient (MCQ): 0.24 (2007)

www.birkhauser.ch/JG

158 Journals

Journal of Mathematical Fluid Mechanics Editors-in-Chief: Galdi,G.P., University of Pittsburgh, PA, USA Heywood, J.G., University of British Columbia, Vancouver, Canada Rannacher, R., University of Heidelberg, Germany ISSN: 1422-6928 (print) ISSN: 1422-6952 (electronic) 2010, Vol. 12 (4 issues) Special subscription rates for private customers. Impact Factor: 0.940 (2008) AMS Mathematical Citation Quotient (MCQ): 0.71 (2007) www.birkhauser.ch/JMFM

Logica Universalis Editor-in-Chief: Béziau, J.-Y., Brazilian Research Council, Fortaleza, Brazil ISSN: 1661-8297 (print) ISSN: 1661-8300 (electronic) 2010, Vol. 4 (2 issues) Special subscription rates for private customers. www.birkhauser.ch/LU

Mathematics in Computer Science Editors-in-Chief: Wang, D., Université Pierre et Marie Curie, Paris, France and Beihang University, Beijing, China Zeng, Z., Beihang University, Beijing, China ISSN: 1661-8270 (print) ISSN: 1661-8289 (electronic) 2010, Vol. 4 (4 issues) www.birkhauser.ch/MCS

159 Journals

Mediterranean Journal of Mathematics Editor-in-Chief: Altomare, F., Università degli Studi di Bari, Italy ISSN: 1660-5446 (print) ISSN: 1660-5454 (electronic) 2010, Vol. 7 (4 issues) Impact Factor: 0.357 (2008) AMS Mathematical Citation Quotient (MCQ): 0.36 (2007)

www.birkhauser.ch/MEDJM

Milan Journal of Mathematics Managing Editor: Ruf, B., Università degli Studi di Milano, Italy ISSN: 1424-9286 (print) ISSN: 1424-9294 (electronic) 2010, Vol. 78 (2 issues) Special subscription rates for private customers. AMS Mathematical Citation Quotient (MCQ): 0.38 (2007)

www.birkhauser.ch/MJM

Nexus Network Journal Editor-in-Chief: Williams, K., Torino, Italy ISSN: 1590-5896 (print) ISSN: 1522-4600 (electronic) 2010, Vol. 12 (3 issues) Special subscription rates for private customers and NAAM members.

www.birkhauser.ch/NNJ

160 Journals

Nonlinear Differential Equations and Applications Managing Editor: Coti Zelati, V., Università di Napoli, Italy ISSN: 1021-9722 (print) ISSN: 1420-9004 (electronic) 2010, Vol. 17 (6 issues) Impact Factor: 0.424 (2008) AMS Mathematical Citation Quotient (MCQ): 0.68 (2007) www.birkhauser.ch/NODEA

NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin NTM Journal of the History of Science, Technology and Medicine Managing Editor: Nikolow, S., University of Bielefeld, Germany ISSN: 0036-6978 (print) ISSN: 1420-9144 (electronic) 2010, Vol. 18 (4 issues) Special subscription rates for DGGMNT members. www.birkhauser.ch/NTM

Physics in Perspective Editors-in-Chief: Rigden, J.S., Washington University, St. Louis, MO, USA Stuewer, R.H., University of Minnesota, Minneapolis, MN, USA ISSN: 1422-6944 (print) ISSN: 1422-6960 (electronic) 2009, Vol. 11 (4 issues) Special subscription rates for private customers and members of APTS, AAPT, DPG, IOP. Impact Factor: 0.440 (2008) www.birkhauser.ch/PIP

161 Journals

Positivity An International Mathematics Journal Devoted to the Theory and Applications of Positivity Editor-in-Chief: de Pagter, B., Delft University, The Netherlands ISSN: 1385-1292 (print) ISSN: 1572-9281 (electronic) 2010, Vol. 14 (4 issues) Special subscription rates for private customers. Impact Factor: 0.344 (2008) AMS Mathematical Citation Quotient (MCQ): 0.31 (2007)

www.birkhauser.ch/POS

Qualitative Theory of Dynamical Systems Editors-in-Chief: Llibre, J., Universitat Autonoma de Barcelona, Spain Giné, J., Universitat de Lleida, Spain ISSN: 1575-5460 (print) ISSN: 1662-3592 (electronic) 2010, Vol. 9 (2 issues) Special subscription rates for private customers. AMS Mathematical Citation Quotient (MCQ): 0.18 (2007)

www.birkhauser.ch/QTDS

Results in Mathematics Managing Editor: Wefelscheid, H., University of Duisburg-Essen, Germany ISSN: 1422-6383 (print) ISSN: 1422-9012 (electronic) 2010, Vols. 57-58 (4 issues per volume) AMS Mathematical Citation Quotient (MCQ): 0.29 (2007)

www.birkhauser.ch/RM

162 Journals

Selecta Mathematica, New Series Editors-in-Chief: Etingof, P., Massachusetts Institute of Technology, Cambridge, MA, USA Kazhdan, D., The Hebrew University, Jerusalem, Israel Seidel, P., Massachusetts Institute of Technology Cambridge, MA, USA ISSN: 1022-1824 (print) ISSN: 1420-9020 (electronic) 2010, Vol. 16 (4 issues) Impact Factor: 0.710 (2008) AMS Mathematical Citation Quotient (MCQ): 1.02 (2007) www.birkhauser.ch/SM

Transformation Groups Editor-in-Chief: Vinberg, E.B., Moscow State University, Russia Executive Managing Editor: Popov, V.L., Russian Academy of Sciences, Moscow, Russia ISSN: 1083-4362 (print) ISSN: 1531-586X (electronic) 2010, Vol. 15 (4 issues) Special subscription rates for private customers. Impact Factor: 0.676 (2008) AMS Mathematical Citation Quotient (MCQ): 0.75 (2007) www.birkhauser.ch/TG

Zeitschrift für Angewandte Mathematik und Physik Journal of Applied Mathematics and Physics Managing Editor: Nipp, K., ETH Zürich, Switzerland ISSN: 0044-2275 (print) ISSN: 1420-9039 (electronic) 2010, Vol. 61 (6 issues) Impact Factor: 1.139 (2008) AMS Mathematical Citation Quotient (MCQ): 0.35 (2007) www.birkhauser.ch/ZAMP

163 Authors and Editors Index

Abele, A.E. 137 Behrndt, J., 30 Bruening, E 59 Crippa, G. 43 Abonyi, J. 109 Bellomo, N. 92, 93, 144 Brusch, L. 94 Cuntz, J. 25 Adamson, I.T. 29 Bellouquid, A. 95 Bruzzo, U. 18 Curto, R.E. 38 Adamyan, V. 40 Benedetto, J.J. 139 Brylinski, J.-L. 25 Agranovich, M., 153 Bensoussan, A. 76 Brzezinski, T. 14 Dalang, R.C. 81 Akos, D.M. 103 Benz, W. 25 Buchholz, D. 90 Damgard, I. 110 Albrecher, H 129 Bergamasco, A. 153 Bulajich Manfrino, R. 37 Damour, T. 90 Albu, T. 12 Bermúdez de Castro, A. 91 Bumagin, I. 12 Danielli, D. 26 Aleman, A. 35 Bernhard, P. 75, 95 Bunimovich, L. 142 Da Prato, G. 64, 71, 76 Alpay, D. 34, 143, 156 Bernoulli, J.I. 124 Bunke, H. 110 Darvas, G. 113 Altmann, J. 105 Bernoulli, N.II 124 Burghelea, D. 52 Datta, A. 104 Altomare, F. 160 Bernstein, J. 10 Bürgisser, P. 156 David, G. 58 Amann, H. 43, 44, 68, 132, Bertelsen, N. 103 Burmen, Á. 100 Davis, J.H. 99 140, 145 Berti, M. 68 Buskes, G. 53 De Angelis, E. 93 Ambrosetti, A. 99 Bertoluzza, S. 98 Buzano, E. 61 Debnath, L. 69, 70 Ambrosio, L. 52 Béziau, J.-Y. 5, 150, 159 Byrne, H. 94 de Boer, R.J. 94 Amirouche, F. 104 Bhattacharyya, S. P. 104 de Dinechin, F. 97 Ando, T. 38 Bhat, U. 80 Cabrelli, C. 36 de Gosson, M. 28, 153 An, M. 101 Binder, A. 129 Calgaro, C. 69 Dehmer, M. 87 Andreescu, T. 8, 9, 10, 17, 27, Binder, W. 106 Calisti, M. 109, 151 de Hoop, M. 153 111, 114 Bini, D.A. 96 Cannas da Silva, A. 29 Delfour, M.C. 76 Andréka, H. 4 Birkenmeier, G.F. 12 Cannata, R. 23 Delitala, M. 95 Andrews, G.E. 155 Blanchard, P. 59 Caparrini, S. 122 Della Sala, G. 55 Andrica, D. 8, 9, 10 Blanchini, F. 74 Capogna, L. 26 de Oliveira, C.R. 89 Anglès, P. 24 Bloch, E.D. 6 Capuzzo-Dolcetta, I 75 de Pagter, B. 162 Annicchiarico, R. 109 Bobenko, A.I. 24 Caramalho Domingues, De Risi, V. 125 Antsaklis, P.J. 103, 104 Boccaletti, D. 23 J. 123 Deutsch, A. 94 Arendt, W. 68, 157 Bodenmann, S. 116 Cardinali, I. 25 de Vries, G. 94 Argyros, S.A. 58 Boggiatto, P. 153 Carstensen, C. 92 Diaconescu, R. 4 Armaou, A. 101 Bogopolski, O. 12 Cartier, P. 26 DiBenedetto, E. 60 Arnold, B.C. 79 Boiko, I. 102 Casacuberta, C. 139 Dickinson, P.J. 110 Arora, S. 156 Bojarski, B. 56 Catalano, D. 110 Di Crescenzo, G. 110 Artin, M. 133 Boju, V. 113 Catoni, F. 23 Didenko, V.D. 51 Atiyah, M.F. 91 Bokut, L.A. 118 Catoni, V. 23 Diekmann, O. 94 Atten, M. 123 Boldini, P. 123 Censor, Y. 93 Dieudonné, J. 121 Aubin, J.-P. 22, 74 Booss-Bavnbek, B. 126 Cercignani, C. 70, 94 do Carmo, M.P. 29 Audin, M. 28, 29 Borel, A. 24 Cervenka, R. 110 Donaldson, S. 157 Avkhadiev, F.G. 44 Borgwardt, K.H. 138 Chaplain, M. 93 Doukhan, P. 82 Azarin, V.S. 48 Borodin, A.N. 83 Chebotar, M.A. 16 Dozzi, M. 81 Borre, K. 103 Chen, H. 153 Drábek, P. 54 Bachman, D. 56 Borthwick, D. 68 Chen, J. 104 Dragomir, S. 26 Bagaria, J. 5 Bouchut, F. 71 Chen, W.Y.C. 155 Drensky, V. 17 Bais, S. 137 Boulabiar, K. 53 Cherniavski, J.C. 147 Drton, M. 79 Baker, M. 105 Bourdeau, M. 123 Chipot, M. 65, 72 Drucker, T. 123 Bakhtiari, M.R. 89 Bourguignon, J.-P. 145 Chirikjian, G.S. 85 Duplantier, B. 88, 90 Balakrishnan, N. 79, 149 Boutet de Monvel, A. 78, Christensen, K.L. 58 Dustdar, S. 106 Ball, J.A. 53, 143 90, 147 Christensen, O. 49, 58, 59 Ebenfelt, P. 31 Ballmann, W. 29 Bovier, A. 78 Christoﬁdes, P.D. 101 Edwards, H.M. 60 Bandle, C. 98 Brady, N. 16 Christopher, C. 69 Eidelman, Y. 53 Bandt, C. 77 Brantschen, S. 151 Cialdea, A. 61 Elliott, R.J. 96 Bangerth, W. 71 Braunß, H.-A. 136 Clark, J. 16 Enescu, B. 114 Barbieri, R. 89 Bravo de la Parra, R. 94 Cohen, L. 153 Engl, H.W. 127, 144 Barbu, L. 69 Brazier, F.M.T. 105, 140 Cohen, R.L. 27 Epstein, C.L. 141 Bardi, M. 75 Brešar, M. 16 Cohn, D.L. 60 Erdogan, A. 12 Barge, J. 22 Brezis, H. 148 Conlon, L. 24 Ericsson, M. 108 Barreira, L. 67 Brisebarre, N. 97 Constanda, C. 53 Escher, J. 43, 44, 132 Bart, H. 30, 53, 113 Bröcker, T. 133 Cooper, J.M. 72 Etingof, P. 163 Bartocci, C. 18 Brodmann, M. 138 Corry, L. 126 Evans, R.J. 28 Basar, T. 75, 150 Brodzik, A.K. 101 Cortés, U. 106, 109 Eynard, B. 84 Bass, H. 11, 148 Brokate, M. 92, 127, 128, 144 Costa, D.G. 68 Bastos, M.A. 51 Coti Zelati, V. 161 Browning, T.D. 7 Falk, M. 82 Baum, H., 18 Coulombel, J.-F. 69 Brown, R.F. 59 Falletta, S. 98 Behrndt, J. 47 Cramer, R. 110

164 Authors and Editors Index

Fargues, L. 25 Grobler, J.J. 32 Junek, H. 136 Labuschagne, L.E. 32 Fauser, B. 88, 90 Gröchenig, K. 104 Jung, I.B. 38 Lacki, J. 119 Feichtinger, H.G. 158 Gromoll, D. 20 Lafforgue, V. 25 Feil, B. 109 Gromov, M. 26, 157 Kaashoek, J.F. 99 Lafontaine, J. 29 Feireisl, E. 65 Grosswald, E. 8 Kaashoek, M.A. 30, 53, Lancaster, P. 56 Feldman, N.S. 35 Grove, K. 145 59, 113 Lancellotta, R. 90 Fellmann, E.A. 125, 152 Gschwind, T. 107 Kac, M. 113 Langer, H. 47 Feng, Z. 9, 10, 17 Guerra, F. 122 Kaiser, G. 147 Lannes, J. 22 Fernández, C. 153 Gu, K. 104 Kannenberg, L. 117 Lansky, P. 94 Ferreirós, J. 125 Gürlebeck, K. 54, 133 Kapovich, M. 22 Lanzara, F. 61 Fine, B. 9 Gustafsson, B. 39, 70 Kapranov, M.M. 15, 25 Laptev, A. 48 Forbes, A.B. 97 Karloff, H. 107 Latyshev, V. 118 Formanek, E. 17 Haase, M. 56 Kasch, F. 13 Laugwitz, D. 123 Forster-Heinlein, B. 35 Habetha, K. 54, 133 Katz, N.M. 26 Laumon, G. 26 Förster, K.-H. 47 Hadamard, J. 33 Kaufmann, S. 99 Lebre, A.B. 51 Frankowska, H. 74 Hamenstädt, U. 34 Kazhdan, D. 163 Lecuire, C. 34 Freeman, R.A. 75 Heinzmann, G. 123 Keller, J. 154 Lee, J.W. 158 Fu, M.C. 96 Helffer, B. 153 Kersting, G. 127, 128, 131, Lee, W.Y. 38 Funar, L. 113 Helin, H. 107 144 Lefèvre, W. 126 Fursikov, A.V. 86 Helmstetter, J. 15 Kharitonov, V.L. 104 LeFloch, P.G. 72 Furutani, K. 153 Helton, J.W. 53 Kharlampovich, O. 12 Lehto, O. 134 Hempﬂing, T. 113 King, R. B. 14 Leiterer, J. 37 Gabetta, E 94 Henrot, A. 57 Kisdi, E. 94 Lerer, L. 31 Gaitsgory, V. 95 Herbstritt, M. 151 Klein, F. 121 Lerman, E. 29 Galbis, A. 153 Herget, C.J. 16 Kleiner, I. 124 Lerner, N 153 Gal, S.G. 47 Hernández Ruipérez, D. 18 Kleinert, A. 116 Leugering, G. 63, 69, 142 Galdi, G.P. 86, 92, 139, 159 Herzel, H. 94 Knapp, A.W. 15, 58 Leung, H. 108 Galicki, K. 21 Hess, K. 27 Knobloch, E. 152 LeVeque, R.J. 100 Gan, W.T. 8 Heyne, A.K. 125, 136 Knuth, D.E. 109 Levine, W.S. 104, 140 Gauthier, G. 158 Heywood, J.G. 139, 159 Kobayashi, T. 15 Liberzon, D. 76 Gautschi, W. 100 Hieber, M. 68 Koch Medina, P. 96 Libin, W. 62 Gekeler, E.-U. 155 Hofer, H. 27 Kock, J. 26 Li, C. 69 Gelbart, S. 10 Hoffmann, K.-H. 127, 142, Kohn, J.J. 31 Lieb, E.H. 91 Gelca, R. 111 144 Kokotovic, P.V. 75 Limnios, N. 80 Gelfand, I.M. 15, 17 Hong, S. 17 Kolyada, S. 25 Lindner, M. 56 Genestier, A. 25 Horiuchi, A 117 Kornhuber, R. 92 Lions, P.-L. 145 Geroldinger, A. 7 Hörmander, L. 54 Kowol, G. 134 Liskowacka, J. 117 Gessel, I. 8 Hotta, R. 14 Kraetzl, M. 110 Liu, D. 75, 104 Giaquinta, M. 42, 53, 55, 70 Hou, L. 75 Kragh, H. 122, 152 Llibre, J. 162 Giga, Y. 70 Høyrup, J. 125, 126 Krainer, T. 136 Locatelli, A. 76 Gigli, N. 52 Hristu-Varsakelis, D. 104 Krantz, S.G. 6, 38, 49, 55, 59, Lods, B. 92 Gilányi, A. 98, 154 Huber, M. 20 140, 141 Lomp, C. 16 Giné, J. 162 Hungerbühler, N. 31 Krause, R. 92 López-Gómez, J. 54 Girard, P.R. 16 Hunziker, H. 137 Kravchenko, V.V. 64 Losonczi, L. 98 Glaz, J. 78 Huber-Carol, C. 80 Kreck, M. 27 Lou, Y. 101 Gohberg, I. 30, 37, 51, 53, 56, Hüsler, J. 82 Kretzschmar, M. 94 Louis, A.K. 93 59, 146, 157 Kroll, H.-J. 158 Lubotzky, A. 11, 17 Iagolnitzer, D. 90 Goldberg, S. 59 Krömer, R. 115, 125 Lück, W. 27 Illusie, L. 26 Goldreich, O. 156 Krstic, M. 73, 75 Lunardi, A. 41, 60 Iosevich, A. 153 Golubitsky, M. 71 Kuczma, M. 46 Lüneburg, H. 135 Israel, G. 119 Gómez Ortega, J.A. 37 Kudla, S.S. 8 Luong, B. 32 Itenberg, I. 19 Gómez Pardo, J.L. 14 Kügler, P. 130 Lynch, S. 84, 109, 110 González, M. 36 Kumar, S. 140 Jacobsen, M. 82 Good, P.I. 82 Kung, J.P. S. 151 Ma, H. 108 Jagers, P. 94 Goudon, T. 69 Kunisch, K. 63, 69 Ma, L. 153 Janas, J. 48 Grafakos, L. 153 Kunz, E. 16 Ma, X. 53 Jarrow, R.A. 96 Graf, U. 99 Kurasov, P. 48 Mader, A 13 Jeannerod, C.-P. 97 Gramchev, T. 153 Kurdachenko, L.A. 16 Malchiodi, A. 99 Jensen, S.H. 103 Granas, A. 158 Kuroda, S. 120 Manca, L. 66 Jerrum, M. 83 Grätzer, G. 11, 154 Kushner, H.J. 74 Manin, Y.I. 25, 26 Jiang, M. 93 Gray, J.J. 24 Kvasz, L. 124 Marasco, A. 90 Jorgensen, P.E.T. 49 Greene, D.H. 109 Kwak, J.H. 17 Marinescu, G. 53 Juhl, A. 18, 19, 28 Grigoryan, S.A. 57 Markvorsen, S. 59

165 Authors and Editors Index

Martinazzi, L. 70 Neumann, D. 105 Puig, L. 13 Santambrogio, F. 109 Martindale III, W.S. 16 Neunzert, H. 137 Pukhnachev, V.V. 86 Sarabia, J.M. 79 Martínez-Abejón, A. 36 Newman, C. 147, 149 Purrington, R.D. 118 Saracco, A. 45, 55 Martini, L. 115 Nicaise, S. 68 Sarnak, P. 157 Massopust, P. 35 Nichelatti, E. 23 Qian, T. 54 Savaré, G. 52 Matveev, A.S. 102 Nievergelt, Y. 6 Qin, Y. 66 Savin, A.Y. 51 Mayer, P. 129 Nikolow, S. 161 Quittner, P. 69 Savkin, A.V. 28, 102 Maz'ya, V. 33 Nikulin, M. 80 Schay, G. 81 Rabinovich, V.S. 153 Mazzola, G.B. 114, 136 Nipp, K. 163 Schechter, M. 39 Rachev, S.T. 96 Meester, R. 81 Nishimura, H. 120 Scheidemann, V. 57 Radelet-de Grave, P., 152 Mehrmann, V. 96 Novaga, M. 41 Schiavon, M. 115 Raimond, J.-M. 88, 90 Melquiond, G. 97 Novotný, A. 65 Schinazi, R.B. 83 Rajagopal, K.R. 94, 103 Melrose, R. 52 Schmid, W. 15 Ramírez Galarza, A.I. 26 Merino, S. 96 Oberguggenberger, M. 153 Schnaubelt, R. 131 Ran, A.C.M. 30, 53, 143 Merrill, K.D. 49 Ogston, E. 105 Schoepﬂin, U. 126 Rana, O.F. 105, 140 Métivier, G. 67 Okada, S. 50 Scholz, E. 152 Rannacher, R. 71, 92, 139, Metz, H. 94 Okoudjou, K.A. 153 Schöning, U. 5 159 Meyer, R. 25, 134 Oliaro, A. 153 Schrader, C.B. 74 Reiss, R.-D. 81, 82 Miani, S. 74 Olshevsky, V. 31, 53, 96 Schröder, B. 6 Remmert, R. 132 Micali, A. 15 Oesterlé, J. 148 Schröder, P. 24 Renn, J. 126 Michel, A.N. 16, 74, 75, Ó Mathúna, D. 66 Schuldt, H. 107 Resnick, S.I. 83, 147, 149 103, 104 Oppenheim, G. 82 Schulze, B.-W. 153 Revelli, R. 92 Mikhalkin, G. 19 Orlandi, G. 41 Schumacher, M. 107 Revol, N. 97 Millán Gasca, A. 119 Otal, J.-P. 16, 34 Schwartz, J.T. 113 Ribet, K.A. 26 Milman, V. 157 Schwarz, M. 60 Packer, J.A. 49 Ricci, P.E. 61 Milota, J. 54 Seade, J. 26, 56 Páles, Z. 98, 154 Ricker, W.J. 50 Min-Oo, M. 59 Segal, D. 17 Palmer, J. 90 Ridolﬁ, L. 92 Mínguez, R. 79 Seidel, P. 163 Panchapagesan, T.V. 51 Rigden, J.S. 120, 161 Miró-Roig, R.M. 15 Seiringer, R. 91 Parks, H.R. 49, 59 Rigoli, M. 22 Mishchenko, A.S. 52, 56 Serfaty, S. 69 Parthasarathy, K.R. 83 Riley, T. 16 Mislin, G. 28 Serrin, J. 54 Paule, P. 155 Rinder, P. 103 Mitter, S.K. 76 Servi, T. 23 Pauls, S.D. 26 Rivasseau, V. 88, 90, 155 Modica, G. 42, 53 Setti, A.G. 22 Pautasso, C. 107 Robertson, A.M. 92 Mok, N. 31 Shafer, D.S. 63 Pavese, F. 97 Robotti, N. 122 Möller, M. 32 Shapiro, M. 45 Pavón, J. 107 Rodino, L. 46, 61, 153 Mollica, F. 94 Sharan, P. 87 Payne, S.E. 25 Rodman, L. 56 Monastyrsky, M.I. 123 Shen, A. 17, 108 Pechoucek, M. 108 Rohwer, C. 57 Montangero, S. 108 Shestakov, I. 14, 118 Peng, L. 153 Romano, A. 90 Mora-Corral, C. 54 Shiryaev, A. 82 Perthame, B. 94, 142 Romanovski, V.G. 63 Moree, P. 25 Short, H. 16 Peskir, G. 82 Rose, H.E. 17 Moreno, A. 107 Shparlinski, I. 142 Petsche, H.-J. 116, 117, 137 Rosenberg, J.M. 25 Morimoto, Y. 153 Shpilrain, V. 14 Pietsch, A. 124 Rosenberger, G. 9 Morosanu, G. 69 Shu, C.-W. 98 Pigola, S. 22 Rößler, W. 135 Mörters, P. 77 Shustin, E. 19 Pilipovic, S. 153 Ross, W.T. 35 Moschella, U. 90 Sidoravicius, V. 80 Pini, E.S. 136 Rota, G.-C. 8, 113 Mucci, D. 55 Silbermann, B. 51 Plum, M. 98 Roubicek, T. 70 Muller, J.-M. 97, 99 Silva, G.J. 104 Poch, M. 106 Rovnyak, J. 53 Müller, V. 53 Silverman, H. 55 Pogorzelski, W.A. 4 Ruegg, H. 119 Mumford, D. 55 Simanca, S.R. 21 Pointcheval, D. 110 Ruf, B. 160 Murasugi, K. 25 Simioniuc, A. 55 Polterovich, L. 114 Russo, F. 81 Mushkarov, O. 27 Sjöstrand, J. 153 Ponnusamy, S. 55 Russo, G. 98 Myasnikov, A. 14 Skiadas, C.H. 77 Pont, J.-C. 121 Ruzhansky, M. 62, 153 Myint-U, T. 69 Smith, P.F. 14 Popivanov, P. 153 Ruzsa, I.Z. 7 Snaith, V.P. 21 Naboko, S. 48 Popov, V.L. 163 Sabadini, I. 45 Sohr, H. 60 Nabonnand, P. 115 Potapenko, S. 53 Saberi, A. 109 Solovej, J.P. 91 Nagel, R. 157 Potyagailo, L. 25 Sain, I. 4 Soloviev, A. 33 Narasimhan, R. 114 Pourtallier, O. 95 Salminen, P. 83 Sommen, F. 45 Nazaikinskii, V.E. 51 Pozdnyakov, V. 78 Saloff-Coste, L. 142 Sommerfeld, A. 121 Nekovár, J. 140 Pragacz, P. 25 Sánchez Pérez, E.A. 50 Sone, Y. 90 Németi, I. 4 Preziosi, L. 94 Sandier, E. 69 Souplet, P. 69 Neubrander, F. 68 Prüß, J.W. 131 Sannuti, P. 109 Speck, F.-O. 51 Neuenschwander, E. 137 Pucci, P. 54

166 Authors and Editors Index

Spitkovsky, I.M. 31 Tian, G. 28 van der Mee, C.V.M. 52 Weyl, H. 134 Sprekels, J. 63, 69 Tobies, R. 137 van der Meer, S. 109 Wickerhauser, M.-V. 86 Springer, T.A. 14 Todorcevic, S. 5, 9, 58 Vares, M.E. 80 Wilk-Pitz, C. 155 Sprößig, W. 54, 133, 142 Toft, J. 153 Varshney, A. 101 Willems, W. 131 Srikant, R. 76 Tolimieri, R. 101 Vasilevski, N. 50 Williams, K. 111, 112, 122, Srinivas, V. 25 Tolksdorf, J. 88, 90 Vasiliev, A. 39, 70 151, 160 Staicu, V. 68 Tomassini, G. 26, 55 Väth, M. 54 Windsteiger, W. 130 Stanley, R.P. 10 Tonev, T.V. 57 Vaught, R.L. 6 Wirths, K.-J. 44 Steeb, W.-H. 137 Toponogov, V.A. 27 Vazquez, R. 75 Wisbauer, R. 16 Stehlé, D. 97 Torrea, J.L. 36 Ventura, E. 12 Witterstein, G. 127 Sternin, B.Y. 51 Torres, S. 97 Villani, C. 142 Witt, I. 153 Stewart, I. 71 Toti Rigatelli, L. 115, 126 Villa Salvador, G.D. 9 Wojtaszczyk, P. 145 Stolz, G. 48 Trencansky, I. 110 Vinberg, E.B. 163 Wojtylak, P. 4 Stoop, R. 137 Tretter, C. 157 Vincent, L. 97 Won, C.-H. 74 Stoorvogel, A.A. 109 Triebel, H. 56 Vinnikov, V. 34 Wong, M. W. 46, 149, 153 Storrer, H.H. 138 Triki, A. 53 Vittone, D. 23 Stout, E.L. 54 Troitsky, E.V. 52, 56 Volkenstein, M.V. 85 Xu, Y. 54 Stoyanov, L. 27 Tröltzsch, F. 63, 69 von Below, J. 68 Yang, J.-H. 15 Strassner, J.C. 105, 109, 140 Trudeau, R.J. 24 Vonta, F. 80 Yen, J.-Y.J. 96 Straube, E.J. 31 Truesdell, C. 103 von zur Gathen, J. 156 Yngvason, J. 91 Stroeker, R.J. 99 Trunk, C. 30, 47 Voos, H. 108 Stroth, G. 127, 144 Tschinkel, Y. 8 Vorobiev, N.N. 114 Zabczyk, J. 76 Stuewer, R.H. 120, 161 Tucsnak, M. 73 Voronov, A.A. 27 Zacher, R. 131 Sturmfels, B. 79 Tuma, T. 100 Zaharopol, R. 82 Wakabayashi, S. 153 Subbotin, I.Y. 16 Turek, S. 92 Zähle, M. 77 Wakolbinger, A. 131 Sullivan, J.M. 24 Turunen, V. 62 Zampetti, P. 23 Wallach, N. 143 Sullivant, S. 79 Tyrtsyhnikov, E. 96 Zannier, U. 25, 40, 42 Wallenstein, S. 78 Swamy, M.N.S. 156 Tyson, J.T. 26 Zehnder, E. 27 Wallis, W.D. 5, 9, 11, 110 Zeidler, E. 88, 90 Takeuchi, K. 14 Ullrich, P. 132 Walliser, M. 151 Zelevinsky, A.V. 15 Takagi, T. 110 Unterberger, A. 22 Walnut, D.F. 99 Zelmanov, E. 118 Tanisaki, T. 14 Urdiales, C. 109 Walschap, G. 20 Zeng, Z. 159 Taqqu, M.S. 82 Ushakov, A. 14 Walter, S.A. 115 Zhang, H. 104 Tarantello, G. 67 Wanders, G. 119 Zhu, H. 153 Taraz, A. 128 Vai, M.I 54 Wang, D. 159 Ziegler, G.M. 24 Tatsien, L. 62 Vainsencher, I. 26 Weber, A. 56 Ziegler, M. 129 Tercan, A. 12 Vaisman, I. 29 Wefelscheid, H. 162 Zimmer, R.J. 72 Tewari, A. 103 Valdez Delgado, R. 37 Weil, A. 9, 126 Zoladek, H. 27 Thangavelu, S. 153 Valette, A. 28 Weinstein, A. 148 Zulehner, W. 130 Thomas, M. 81 Vanaja, N. 16 Weiss, G. 73 Thompson, S.G. 108 van Barel, M. 96 Welzl, E. 127, 144

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