Applied mathematics

In Part I of this report the pointwise derivation of scalar set functions is investigated, first along the lines of R.

It was mainly during the last two decades that the theory of homogenization or averaging of partial differential equations took shape as a distinct mathe- matical discipline.

This book deals with one of the fundamental problems of nonequilibrium statistical mechanics: the explanation of large-scale dynamics (evolution differential equations) from models of a very large number of interacting particles.

Computational fluid flow is not an easy subject.

This volume is an effort to bring together important contributions to the mathe- matical development of demography and to suggest briefly their historical context.

The above consideration indicates that at present many of the experi- mental facts on PS in animals can be quantitatively explained within the limits of the "e;universal"e; photoreceptor membrane concept.

These notes serve as an introduction to stochastic theories which are useful in population biology; they are based on a course given at the Courant Institute, New York, in the Spring of 1974.

On May 10-12, 1973 a Conference on Mathematical Methods in Graph Theory was held at Western Michigan University in Kalamazoo.

The theory of scheduling is receiving increased emphasis in research and practice for at least three good reasons.

Paolo Bisogno and Augusto Forti Taking an interest in the future is among the most instinctive Conscious of the existence of time as well as of human activities.

The NATO Advanced Study Institute From Statistics to Neural Networks, Theory and Pattern Recognition Applications took place in Les Arcs, Bourg Saint Maurice, France, from June 21 through July 2, 1993.

The favourable reception of the first edition and the encouragement received from many readers have prompted the author to bring out this new edition.

One-dimensional dynamics has developed in the last decades into a subject in its own right.

The purpose of this book is to give a streamlined introduction to the theory of (not necessarily symmetric) Dirichlet forms on general state spaces.

Our life is a highly nonlinear process.

The primary aim of this monograph is to provide a formal framework for the representation and management of uncertainty and vagueness in the field of artificial intelligence.

These lectures deal with background and latest developments in symmetries, singularity structures (Painleve analysis) and their relation to integrability and chaos in classical and quantum nonlinear dynamical systems.

Adaptive systems are widely encountered in many applications ranging through adaptive filtering and more generally adaptive signal processing, systems identification and adaptive control, to pattern recognition and machine intelligence: adaptation is now recognised as keystone of "e;intelligence"e; within computerised systems.

Addressed to both pure and applied probabilitists, including graduate students, this text is a pedagogically-oriented introduction to the Schwartz-Meyer second-order geometry and its use in stochastic calculus.

This book presents a comprehensive collection of integrals of the Fourier transformation type.

The second edition has not deviated significantly from the first.

Today, the theory of random processes represents a large field of mathematics with many different branches, and the task of choosing topics for a brief introduction to this theory is far from being simple.

This version differs from the Portuguese edition only in a few additions and many minor corrections.

Markov processes play an important role in the study of probability theory.

This book contains the invited papers of the interdisciplinary workshop on "e;Stochastic Nonlinear Systems in Physics, Chemistry and Biology"e; held at the Center for Interdisciplinary Research (ZIF), University of Bielefeld, West Germany, October 5-11, 1980.

The objective of the present edition of this monograph is the same as that of earlier editions, namely, to provide readers with some mathemati- cal maturity a rigorous and modern introduction to the ideas and principal theorems of probabilistic information theory.

Probability measures on algebraic-topological structures such as topological semi- groups, groups, and vector spaces have become of increasing importance in recent years for probabilists interested in the structural aspects of the theory as well as for analysts aiming at applications within the scope of probability theory.

In winter 71/72 I held a seminar on general equilibrium theory for a jOint group of students in mathematics and in econo- mics at the university of Bonn , w.

In anglo-american literature there exist numerous books, devoted to the application of the Laplace transformation in technical domains such as electrotechnics, mechanics etc.

The purpose of this book is to give a unified treatment of the limit theory of branching processes.

This book is concerned with a set of related problems in probability theory that are considered in the context of Markov processes.

In this book problems related to the choice of models in such diverse fields as regression, covariance structure, time series analysis and multinomial experiments are discussed.

The orthogonality of functions has been exploited in communications since its very beginning.

Project planning, scheduling, and control are regularly used in business and the service sector of an economy to accomplish outcomes with limited resources under critical time constraints.