Mathematics

Part I of this volume surveys the developments in the analysis of nonlinear phenomena in Japan during the past decade, while Part II consists of up-to-date original papers concerning qualitative theories and their applications.

When soliton theory, based on water waves, plasmas, fiber optics etc.

This is a systematic exposition of the basics of the theory of quasihomogeneous (in particular, homogeneous) functions and distributions (generalized functions).

A massive transition of interest from solving linear partial differential equations to solving nonlinear ones has taken place during the last two or three decades.

In 1898 Frobenius discovered a construction which, in present terminology, associates with every module of a subgroup the induced module of a group.

This is an exposition of some special results on analytic or Cinfinity-approximation of functions in the strong sense, in finite- and infinite-dimensional spaces.

This monograph gives a systematic account of certain important topics pertaining to field theory, including the central ideas, basic results and fundamental methods.

The main emphasis of this volume is on harmonic and functional analysis.

The problems treated in this volume concern nonlinear partial differential equations occurring in the areas of fluid dynamics, free boundary problems, population dynamics and mathematical physics.

The thirteen papers presented in this book are based on talks given at the workshop on Numerical Modelling of Marine Systems held at the University of Adelaide, South Australia in February 1986.

The aim of this book is to provide a comprehensive introduction to the theory of distributions, by the use of solved problems.

In the past 15 years, the theory of crossed products has enjoyed a period of vigorous development.

The first edition of this monograph appeared in 1978.

Most topics in near-ring and near-field theory are treated here, along with an extensive introduction to the theory.

Let G be a finite group and let F be a field.

A collection of papers surveying recent progress in the field of Combinatorial Optimization.

This book is a systematic treatment of barrelled spaces, and of structures in which barrelledness conditions are significant.

This self-contained book brings together the important results of a rapidly growing area.

Optimization, as examined here, ranges from differential equations to problems arising in Mechanics and Statistics.

This volume is the result of lectures delivered at the second meeting on the subject of nonlinear partial differential equations, held at Tohoku University, 27-29 February 1984.

Results of research into large scale eigenvalue problems are presented in this volume.

A broad range of topics is covered here, including commutative monoid rings, the Jacobson radical of semigroup rings, blocks of modular group algebras, nilpotency index of the radical of group algebras, the isomorphism problem for group rings, inverse semigroup algebras and the Picard group of an abelian group ring.

This volume is addressed to those who wish to apply the methods and results of the theory of topological algebras to a variety of disciplines, even though confronted by particular or less general forms.

Interest in combinatorial techniques has been greatly enhanced by the applications they may offer in connection with computer technology.

Transform Analysis of Generalized Functions concentrates on finite parts of integrals, generalized functions and distributions.

The range of random graph topics covered in this volume includes structure, colouring, algorithms, mappings, trees, network flows, and percolation.

Transmutation Theory and Applications

Recent Progress in Fourier Analysis

Trends in the Theory and Practice of Non-Linear Analysis

Second order linear differential equations in Banach spaces can be used for modelling such second order equations of mathematical physics as the wave equation, the Klein-Gordon equation, et al.

This monograph describes a theoretical foundation for analysing and developing approximate methods to solve dynamic and quasi-static plasticity problems.

Holomorphic Automorphism Groups in Banach Spaces

This book links two of the most active research areas in present day mathematics, namely Infinite Dimensional Holomorphy (on Banach spaces) and the theory of Operator Algebras (C*-Algebras and their non-associative generalizations, the Jordan C*-Algebras).

The Bidual of C(X) I

Orders: Description and Roles

Trees and Hills: Methodology for Maximizing Functions of Systems of Linear Relations

For the first time, this book unites different algebraic approaches for discrete optimization and operations research.

This volume forms a record of the lectures given at this International Conference.

This volume contains 22 articles on topics of current interest in functional analysis, operator theory and related areas.

Analytic Sets in Locally Convex Spaces

Among the participants discussing recent trends in their respective fields and in areas of common interest in these proceedings are such world-famous geometers as H.

Functional Analysis, Holomorphy and Approximation Theory II

Infinite Crossed Products

Ring Theory V2

Ring Theory V1

An Introduction to Differentiable Manifolds and Riemannian Geometry

Positive Operators

The Theory of Eisenstein Systems

Quantum Mechanics in Hilbert Space

Spectral Synthesis