Books in the Chapman & Hall/CRC Research Notes in Mathematics Series series

This volume constitutes the proceedings of a mathematical conference on functional analysis and its applications. Topics covered include: topological vector spaces; Banach algebras; meromorphic functions; partial differential equations; and variational equations and inequalities.

Offers a comprehensive, mathematically rigorous treatment of many-body physics. This book develops the mathematical tools for describing quantum many-body systems and applies them to the many-electron system.

First of three volumes containing the proceedings of the International Colloquium on Free Boundary Problems: Theory and Applications, held in Canada in June 1990. Topics covered in this volume range from combustion in porous media to controlled release of drugs by osmosis.

The purpose of this monograph is to study the common zeroes of families of polynomials in several variables which are related to higher dimensional quadrature. It aims to introduce a new approach and use it to conduct a systematic study.

This volume collects the proceedings of conferences given at the University of Metz during the 1992 "Metz Days". Various important topics in partial differential equations are examined: phase transition, evolution problems, bifurcation, stability and parabolic problems.

This book provides a new mathematical theory for the treatment of an ample series of spatial problems of electrodynamics, particle physics, quantum mechanics and elasticity theory

This text establishes a number of integral expansions of Mehler-Fock type and also obtains as applications some simple functions. The book is designed to motivate researchers in applied mathematics to initiate work on appropriate physical problems in contiuum mechanics and wave diffraction.

Presents the basic techniques of using Lie algebraic concepts to explore the domain of nonlinear integrable systems. This book begins by establishing a practical basis in Lie algebra, including discussions of structure Lie, loop, and Virasor groups, quantum tori and Kac-Moody algebras, and gradation.

This text is based on graduate courses given at Cornell University between 1985 and 1992. Its aim is to introduce the reader to theoretical considerations involved in the study of multigrid methods, always keeping the practical applicability in mind.

These conference proceedings are concerned with the solution of mathematical models from various physical domains, by means of integral methods in conjunction with various approximation schemes.

Presents recent advances in the solution of partial differential equations in porous media, with applications. Starting from the fundamental solution for flow through porous media, the text provides information on solving for pressure distributions for a wide range of initial-boundary problems.

The aim of this work is to apply variational methods, and critical point theory on infinite dimensional manifolds, to some problems in Lorentzian geometry which have a variational nature. In particular Ljusternik-Schnirelmann critical point theory and Morse theory are exploited.

This text contains seven main sections covering topics such as: random Dubins-Freedman related distribution functions, random conservative cascades; random self-similar sets and measures; and random geometrically graph directed self-similar sets and measures.

This text provides a unifying approach to the valuation of different kinds of options, arranged so it presents a natural transition from the theory of optimal stopping problems to the valuation of options. The book also introduces generalized optimal stopping problems.

Presents many recent results and methods which are of fundamental importance in theoretical fluid mechanics, particularly in the field of Navier-Stokes equations. It should be of use to researchers and graduate students.

This volume collects the proceedings of conferences given at the University of Metz during the 1992 "Metz Days". Various important topics in partial differential equations are examined: phase transition, evolution problems, bifurcation, stability and parabolic problems.

When a dynamical system has a large number of parameters it is not possible to get a completely comprehensive picture of all the types of behavior that it may display and one must be content with surveying the system along various corridors of lower dimension

Explores the structural aspects of complex Lie groups, beginning with general concepts then moving to the theory of representative functions of Lie groups and the extension problem of representations.

This volume is essentially a self-contained presentation of the theory of reproducing kernels in connection with integral transforms in the framework of Hilbert spaces. It is a general and fundamental concept and a potentially powerful theory combined with the integral transforms.