Books published by Birkhauser Verlag AG

Contains a selection of eighteen articles that were presented at the 5th International Conference on Multivariate Approximation, that was held in Witten-Bommerholz in September 2002.

To mark this occasion, a symposium was held in Chennai, India, where some of his colleagues gave expository talks highlighting Seshadri's contributions to mathematics. This volume includes expanded texts of these talks as well as research and expository papers on geometry and representation theory.

Diese Einführung in die algebraische Geometrie richtet sich an Studierende mittlere und höhere Semester. Vorausgesetzt werden lediglich die im ersten Studienjahr erworbenen Grundkenntnisse. Ausgehend von den affinen Hyperflächen werden beliebige affine und schliesslich projektive Varietäten untersucht. Die benötigte Algebra wird dabei laufend entwickelt. Schwerpunkte des Buches sind die Dimensions- und Morphismentheorie, die Multiplizitätstheorie sowie der Gradbegriff. Zahlreiche Beispiele sollen dem Leser helfen, sich über die konkrete Bedeutung des Stoffes klarzuwerden.

Evariste Galois' short life was lived against the turbulent background of the restoration of the Bourbons to the throne of France, the 1830 revolution in Paris and the accession of Louis-Phillipe.

The aim of these lecture notes is to give an essentially self-contained introduction to the basic regularity theory for energy minimizing maps, including recent developments concerning the structure of the singular set and asymptotics on approach to the singular set.

The notes in this volume were written as a part of a Nachdiplom course that I gave at the ETH in the summer semester of 1995. Such a course began with the fundamentals of group cohomology, and then investigated the structure of cohomology rings, and their maximal ideal spectra.

Combinatorial group theory is a loosely defined subject, with close connections to topology and logic.

The problem of enumerating maps (a map is a set of polygonal "countries" on a world of a certain topology, not necessarily the plane or the sphere) is an important problem in mathematics and physics, and it has many applications ranging from statistical physics, geometry, particle physics, telecommunications, biology, ...

This book covers Lebesgue integration and its generalizations from Daniell's point of view, modified by the use of seminorms. It might even be useful to the advanced mathematician who is confronted with situations - such as stochastic integration - where the set-measuring approach to integration does not work.

Between 1881 and 1911, Gosta Mittag-Leffler and Henri Poincare exchanged regular correspondence, regarding scientific matters. This text looks at those letters and evaluates their content for biographical information as well as for scientific information.

Elementary particle physics is the quadrant of nature whose laws can be written in a few lines with absolute precision and the greatest empirical adequacy.

Category theory is a general mathematical theory of structures and of structures of structures.

While the state enforces food law primarily through suspicion and risk-based investigations, food monitoring is a system of repeated representative measurements and evaluations of undesirable substances and contaminants in foods.

This book offers a complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a very readable introduction to symplectic geometry. Many topics are also of genuine interest for pure mathematicians working in geometry and topology.

Compactly written, but nevertheless very readable, appealing to intuition, this introduction to probability theory is an excellent textbook for a one-semester course for undergraduates in any direction that uses probabilistic ideas.

The recognition of the role of NPY in stimulation of food intake has already resulted in discovery of potent and selective NPY receptor Y-5 antagonists which are in clinical development for obesity while NPY Y1 receptors are targeted for cardiovascular indications.

The general principles by which the editors and authors of the present edition have been guided were explained in the preface to the first volume of Mathemat ics of the 19th Century, which contains chapters on the history of mathematical logic, algebra, number theory, and probability theory (Nauka, Moscow 1978;

This distinguishes it from the theory of nonlinear contraction semigroups whose basis is a nonlinear version of the Hille Yosida theorem: the Crandall-Liggett theorem. Thus the theory of nonlinear contraction semigroups does not apply to systems, in general, since they do not allow for a maximum principle.

The unfortunate appearance of AIDS, the manifold problems with herpesviruses and other viruses attacking humans have led to an enormous dynamism of worldwide research and to an immense increase in the corresponding literature. This title provides reviews on the development of antiviral agents in some important and widespread viral diseases.

This book develops the geometric intuition of the reader by examining the symmetries (or rigid motions) of the space in question. Concepts of geometry are presented in a very simple way, so that they become easily accessible: the only pre-requisites are calculus, linear algebra and basic analytic geometry.

One question treated at length concerns the low temperature behavior of short-range spin glasses: whether and in what sense Parisi's analysis of the meanfield (or "infinite-range") model is relevant.

The common cold is unlike any other human disease because of two f- tors: firstly, it is arguably the most common human disease and, secondly, it is one of the most complex diseases because of the number of viruses that cause the familiar syndrome of sneezing, sore throat, runny nose and nasal congestion.

Leonhard Euler was by far the most productive mathematician in the history of mankind, and also one of the greatest scholars of all time. He attained, a degree of popularity and fame which may well be compared with that of Galilei, Newton, or Einstein. This book is based in part on unpublished sources and comes right out of the research on Euler.

This multi-authored effort, Mathematics of the nineteenth century (to be fol lowed by Mathematics of the twentieth century), is a sequel to the History of mathematics from antiquity to the early nineteenth century, published in three volumes from 1970 to 1972.

Statistical analysis of extreme data is vital to many disciplines including hydrology, insurance, finance, engineering and environmental sciences.

Offers an introduction to combinatorial torsions of cellular spaces and manifolds with emphasis on torsions of 3-dimensional manifolds. This book describes the results of G Meng, C H Taubes and the author on the connections between the refined torsions and the Seiberg-Witten invariant of 3-manifolds.

Euklid, der Geometer aus Alexandria, und sein uberwiegend geometrisches literarisches Werk bilden den Mittelpunkt dieses Buches zur Geschichte der Mathematik. Es ist bis heute nicht mit letzter Sicherheit geklart, ob es einen Mathematiker mit dem Namen Euklid wirklich gegeben, wann er gelebt hat und ob die ihm zugeschriebenen Lehrbucher zur Mathematik und zur mathematischen Physik tatsachlich nur von ihm verfasst wurden. Trotz dieser Einschrankungen breitet der Autor das derzeit verfugbare Wissen uber die voreuklidische griechische Mathematik, die Traditionslinien der euklidischen Geometrie und die uber Jahrhunderte andauernde Wirkungsgeschichte der euklidischen Werke umfassend aus. Dabei wird an vielen Stellen deutlich, wie unzureichend unsere Kenntnisse uber die Rezeptionsgeschichte und wie luckenhaft das antike Quellenmaterial auch nach zweitausend Jahren immer noch sind. Das Buch spurt den vielfaltigen historischen und interkulturellen Aspekten und Facetten der Mathematik nach.

rare testimony of a period of the history of 20th century mathematics. Includes very interesting recollections on the author's participation in the formation of the Bourbaki Group, tells of his meetings and conversations with leading mathematicians, reflects his views on mathematics.