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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 This book is based in part on unpublished sources and comes right out of the research on Euler.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.

Although one might argue whether this golden age is really foregone, and discuss the "height" of the technology involved, this quotation is closely related to the main motivations of Part II: this technology, which includes stochastic calculus for general discontinuous semi-martingales, enlargement of filtrations, .

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.

The Lebesgue integral is an essential tool in the fields of analysis and stochastics and for this reason, in many areas where mathematics is applied. It addresses the important topics of this theory and presents additional results which establish connections to other areas of mathematics.

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.

The volume is dedicated to Lev Sakhnovich, who made fundamental contributions in operator theory and related topics. Besides bibliographic material, it includes a number of selected papers related to Lev Sakhnovich's research interests. The papers are related to operator identities, moment problems, random matrices and linear stochastic systems.

The framework of 'symmetry' provides an important route between the abstract theory and experimental observations. From the reviews:"[The] rich collection of examples makes the book...extremely useful for motivation and for spreading the ideas to a large Community."--MATHEMATICAL REVIEWS

This title provides and introduction to harmonic maps between a surface and a symmetric manifold and constant mean curvature surfaces as completely integrable systems. It should help the reader to access the ideas of the theory and to aquire a unified perspective of the subject.

Deals with the theory of function spaces of type Bspq and Fspq. This book analyzes the theory of function spaces in Rn and in domains, applications to (exotic) pseudo-differential operators, and function spaces on Riemannian manifolds.

As a consequence, researchers and project managers in the pharmaceutical industry should have a solid knowledge of the more important methods available to drug discovery, because it is the rapidly and intelligently combined use of these which will determine the success or failure of preclinical projects.

First, it was clear that the classical approach, using the theory of extremal quasi-conformal mappings (in this approach we completely avoid the use of quasi-conformal maps) was not easily applicable to the theory of minimal surfaces, a field of interest of the author over many years.

Microlocal analysis is a field of mathematics that was invented in the mid-20th century for the detailed investigation of problems from partial differential equations, which incorporated and made rigorous many ideas that originated in physics.

Water supply- and drainage systems and mixed water channel systems are networks whose high dynamic is determined and/or affected by consumer habits on drinking water on the one hand and by climate conditions, in particular rainfall, on the other hand.

The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk.

This collection of Heinz Konig's publications connects to his book of 1997 "e;Measure and Integration"e; and presents significant developments in the subject from then up to the present day. The result is a consistent new version of measure theory, including selected applications. The basic step is the introduction of the inner * (bullet) and outer * (bullet) premeasures and their extension to unique maximal measures. New "e;envelopes"e; for the initial set function (to replace the traditional Caratheodory outer measures) have been created, which lead to much simpler and more explicit treatment. In view of these new concepts, the main results are unmatched in scope and plainness, as well as in explicitness. Important examples are the formation of products, a unified Daniell-Stone-Riesz representation theorem, and projective limits.

This is the first comprehensive monograph on the mathematical theory of the solitaire game "e;The Tower of Hanoi"e; which was invented in the 19th century by the French number theorist Edouard Lucas. The book comprises a survey of the historical development from the game's predecessors up to recent research in mathematics and applications in computer science and psychology. Apart from long-standing myths it contains a thorough, largely self-contained presentation of the essential mathematical facts with complete proofs, including also unpublished material. The main objects of research today are the so-called Hanoi graphs and the related Sierpinski graphs. Acknowledging the great popularity of the topic in computer science, algorithms and their correctness proofs form an essential part of the book. In view of the most important practical applications of the Tower of Hanoi and its variants, namely in physics, network theory, and cognitive (neuro)psychology, other related structures and puzzles like, e.g., the "e;Tower of London"e;, are addressed. Numerous captivating integer sequences arise along the way, but also many open questions impose themselves. Central among these is the famed Frame-Stewart conjecture. Despite many attempts to decide it and large-scale numerical experiments supporting its truth, it remains unsettled after more than 70 years and thus demonstrates the timeliness of the topic. Enriched with elaborate illustrations, connections to other puzzles and challenges for the reader in the form of (solved) exercises as well as problems for further exploration, this book is enjoyable reading for students, educators, game enthusiasts and researchers alike.

The present book is the ideal complement to the practitioner's manual Techniques in Molecular Systematics and Evolution, recently published by the same editors in the Birkhauser MTBM book series.The first part of this book deals with important applications of evolutionary and systematic analysis at different taxonomic levels.

- Acta Scientiarum MathematicarumAvramov lecture: "... - Zentralblatt MATHValla lecture: "... since he is an acknowledged expert on Hilbert functions and since his interest has been so broad, he has done a superb job in giving the readers a lively picture of the theory."

Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century.

From the reviews: "The style of the book reflects the author's wish to assist in the effective learning of optimal control by suitable choice of topics, the mathematical level used, and by including numerous illustrated examples.