Books in the Lecture Notes in Pure and Applied Mathematics series

Presents developments in the areas of differential equations, dynamical systems, and control of finke and infinite dimensional systems. This work focuses on trends in differential equations and dynamical system research.

This book is based on the proceedings of the Fifth Northeast Conference on General Topology and Applications, held at The College of Staten Island ¿ The City University of New York. It provides insight into the relationship between general topology and other areas of mathematics.

Includes proceedings of the Second International Conference on Trends in Semigroup Theory and Evolution Equations held Sept 1989, Delft University of Technology, the Netherlands.

Presents the proceedings of the Third International Conference on Commutative Ring Theory held in Fez, Morocco. This title details the developments in commutative algebra and related areas. It examines wide-ranging developments in commutative algebra, together with connections to algebraic number theory and algebraic geometry.

This book examines some aspects of homogeneous Banach algebras and related topics to illustrate various methods used in several classes of group algebras. It guides the reader toward some of the problems in harmonic analysis such as the problems of factorizations and closed subalgebras.

Discusses progress and some of the unresolved issues in two- and three-dimensional turbulence as well as scalar compressible turbulence. This title also discusses subrigid-scale modeling and hybrid methods involving a mix of Reynolds-averaged Navier - Stokes (RANS), large-eddy simulations (LES), and direct numerical simulations (DNS).

Contains presentations from the international workshop on local cohomology held in Guanajuato, Mexico. This work includes lecture notes of two minicourses on applications in equivariant topology and duality theory, and chapters on finiteness properties, D-modules, combinatorial analyses and related topics.

Presents an overview of stochastic PDEs in several fields, such as filtering theory, stochastic quantization, quantum probability, and mathematical finance. This book includes such topics as Navier-Stokes equations, Ornstein-Uhlenbeck semigroups, and quantum stochastic differential equations. It offers information for PhD students in probability.

Containing expository and research papers on the geometric and analytic aspects of Fourier analysis, this work discusses fresh approaches to classical problems in the theory of trigonometric series, singular integrals/pseudo-differential operators, Fourier analysis on various groups, and numerical aspects of Fourier analysis.

This book includes articles on denotational semanitcs, recursion theoretic aspects of computer science, model theory and algebra, automath and automated reasoning, stability theory, topoi and mathematics, and topoi and logic. It is intended for mathematical logicians and computer scientists.

This important work provides a comprehensive overview of the properties of Banachspaces related to strict convexity and a survey of significant applications-uniting a wealthof information previously scattered throughout the mathematical literature in a well-organized,accessible format

This book presents theoretical results, including an extension of constant rank and implicit function theorems, continuity and stability bounds results for infinite dimensional problems, and the interrelationship between optimal value conditions and shadow prices for stable and unstable programs.

Describes various methodologies for sensitivity, stability and approximation analysis of mathematical programming and related problem structures involving parameters. This text covers such areas as the effect of perturbations on the performance of algorithms, and approximation techniques for optimal control problems.

Contains papers presented at the International Symposium on Asymptotic and Computational Analysis, held in June 1989 in Winnipeg, Manitoba, sponsored by the Department of Applied Mathematics, University of Manitoba and the Canadian Applied Mathematics Society.

"Based on the proceedings of the Special Session on Geometry and Physics held over a six month period at the University of Aarhus, Denmark and on articles from the Summer school held at Odense University, Denmark. Offers new contributions on a host of topics that involve physics, geometry, and topology. Written by more than 50 leading international experts."

This work presents the proceedings from the International Conference on Differential Equations and Control Theory, held recently in Wuhan, China. It provides an overview of current developments in a range of topics including dynamical systems, optimal control theory, stochastic control, chaos, fractals, wavelets and ordinary, partial, functional and stochastic differential equations.

Contains the proceedings of the special session on Modern Methods in Continuum Theory presented at the 100th Annual Joint Mathematics Meetings held in Cincinnati, Ohio. This title features the "Houston Problem Book" which includes a set of 200 problems accumulated over several years at the University of Houston.

Based on the Working Conference on Boundary Control and Boundary Variation held in Sophia-Antipolis, France, this work provides important examinations of shape optimization and boundary control of hyperbolic systems, including free boundary problems and stabilization. It offers an approach to large and nonlinear variation of the boundary.

This work is based on the International Symposium on Comparison Methods and Stability Theory held in Waterloo, Ontario, Canada. It presents advances in comparison methods and stability theory in a wide range of nonlinear problems, covering a variety of topics such as ordinary, functional, impulsive, integro-, partial, and uncertain differential equations.

This useful reference provides recent results as well as entirely new material on control problems for partial differential equations.

Based on the fifth Mid-Atlantic Algebra Conference held recently at George Mason University, Fairfax, Virginia. Focuses on both the practical and theoretical aspects of computational algebra. Demonstrates specific computer packages, including the use of CREP to study the representation of theory for finite dimensional algebras and Axiom to study algebras of finite rank.

Presenting the proceedings of the conference held in Provo, Utah, this work provides research articles in several different areas of number theory, highlighting the Markoff spectrum. It contains refereed contributions on: problems of diophantine approximation; the modular group and its subgroups; continued fractions; and, hyperbolic geometry.

"Written by accomplished and well-known researchers in the field, this unique volume discusses important research topics on p-adic functional analysis and closely related areas, provides an authoritative overview of the main investigative fronts where developments are expected in the future, and more. "

This book is based on the conference on Function Spaces held at Southern Illinois University at Edwardsville, in April, 1990. It is designed to cover a wide range of topics, including spaces of analytic functions, isometries of function spaces, geometry of Banach spaces, and Banach algebras.

This reference presents the proceedings of an international meeting on the occasion of theUniversity of Bologna's ninth centennial-highlighting the latest developments in the field ofgeometry and complex variables and new results in the areas of algebraic geometry,differential geometry, and analytic functions of one or several complex variables

An advanced reference containing 21 selected or consolidated papers presented at an international conference in April 1988 at Tunxi (now Hunangshan), China. Contains recent, previously unavailable findings of Chinese mathematicians; discusses problems, results, and proving methods of combinatorial d

Talks from the International Conference on Computers and Mathematics held July 29-Aug. 1, 1986, Stanford U. Some are focused on the past and future roles of computers as a research tool in such areas as number theory, analysis, special functions, combinatorics, algebraic geometry, topology, physics,

This book includes seminal papers on technical subjects-transport theory, invariant imbedding, and integral equations-presented as contributions to honour George Milt Wing in celebration of his 65th birth anniversary in 1988.

This volume is an outcome of the EQUADIFF 87 conference in Greece. It addresses a wide spectrum of topics in the theory and applications of differential equations, ordinary, partial, and functional. The book is intended for mathematics and scientists.