Mathematics

This book is the outgrowth of a NATO Advanced Research Workshop, held in Milton Keynes (United Kingdom) in the summer of 1990.

When I first participated in exploring theories of nonmonotonic reasoning in the late 1970s, I had no idea of the wealth of conceptual and mathematical results that would emerge from those halting first steps.

Spaces of constant curvature, i.

The book contains a survey of research on non-regular Riemannian geome- try, carried out mainly by Soviet authors.

Group theory is one of the most fundamental branches ofmathematics.

This volume contains the proceedings of the summer school "e;Modern Methods of Optimization"e;, held at the Schlof3 Thurnau of the University of Bayreuth, October 1-6, 1990.

Up to a certain time the attention of mathematicians was concentrated on the study of individual objects, for example, specific elementary functions or curves defined by special equations.

From the reviews to the first edition:Most of the literature about stochastic differentialequations seems to place so much emphasis on rigor andcompleteness that it scares the nonexperts away.

Sinai's book leads the student through the standard materialfor ProbabilityTheory, with stops along the way forinteresting topics such as statistical mechanics, notusually included in a book for beginners.

It has now been almost ten years since our first book on scattering theory ap- peared [32].

'What does your Master teach?

Convex Analysis may be considered as a refinement of standard calculus, with equalities and approximations replaced by inequalities.

Minimal surfaces I is an introduction to the field ofminimal surfaces and apresentation of the classical theoryas well as of parts of the modern development centeredaround boundary value problems.

Abelian varieties are special examples of projectivevarieties.

Eugene Wigner is one of the few giants of 20th-century physics.

An arrangement of hyperplanes is a finite collection ofcodimension one affine subspaces in a finite dimensionalvector space.

We study the boundary behaviour of a conformal map of the unit disk onto an arbitrary simply connected plane domain.

1.

The original version of this article was written more than fiveyears ago with S.

This volume is the first in the series devoted to the commutative harmonic analysis, a fundamental part of the contemporary mathematics.

From the reviews: This book is devoted to the study of sheaves by microlocal methods.

This book was originally intended as an extended version of our book "e;Invertibility and Asymptotics of Toeplitz Matrices"e;, which appeared in 1983.

The topic of this book is the theory of degenerations of abelian varieties and its application to the construction of compactifications of moduli spaces of abelian varieties.

Cryptography, secret writing, is probably as old as writing itself.

The idea of this book began with an invitation to give a course at the Third Chilean Winter School in Probability and Statistics, at Santiago de Chile, in July, 1984.

The purpose of this book is to present a self-contained description of the fundamentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach.

From the reviews: "e;The author, a lucid mind with a fine pedagogical instinct, has written a splendid text.

In engineering and economics a certain vector of inputs or decisions must often be chosen, subject to some constraints, such that the expected costs arising from the deviation between the output of a stochastic linear system and a desired stochastic target vector are minimal.

Some years ago a conference on l-adic cohomology in Oberwolfach was held with the aim of reaching an understanding of Deligne's proof of the Weil conjec- tures.

This work describes the fundamental principles, problems, and methods of elassical mechanics focussing on its mathematical aspects.

Initially the theory of convergence in law of stochastic processes was developed quite independently from the theory of martingales, semimartingales and stochastic integrals.

Logic appears in a 'sacred' and in a 'profane' form.

In this book we describe the elementary theory of operator algebras and parts of the advanced theory which are of relevance, or potentially of relevance, to mathematical physics.

The classical theory of partial differential equations is rooted in physics, where equations (are assumed to) describe the laws of nature.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

Ziel des Buches.

Die Wahrscheinlichkeitstheorie ist ein relativ junges Teilgebiet der Mathematik, das eigentlich erst in den letzten Jahrzehnten durch die Verwendung maBtheoretischer Begriffsbildungen eine befriedigende For­ mulierung gefunden hat.

Aus der Arithmetik der binären quadratischen Formen, die Gauß in abgeschlossener Form in seinen Disquisitiones Arithmeticae entwickelte, erwuchsen zwei Disziplinen, die Lehre von den quadra­ tischen Formen beliebiger Variablenzahl auf der einen Seite und die .