Algebra

This book is an introduction to a rapidly growing subject of modern mathematics, the Kac-Moody algebra, which was introduced by V Kac and R Moody simultanously and independently in 1968.

The book is devoted to the investigation of algebraic structure.

This volume is a collection of lectures and selected papers by Giorgio Parisi on the subjects of Field Theory (perturbative expansions, nonperturbative phenomena and phase transitions), Disordered Systems (mainly spin glasses) and Computer Simulations (lattice gauge theories).

This book is devoted to numerical methods for solving sparse linear algebra systems of very large dimension which arise in the implementation of the mesh approximations of the partial differential equations.

This volume covers the most up-to-date findings on string field theory.

During the last few years, considerable interest has been focused on the phase that waves accumulate when the equations governing the waves vary slowly.

This volume reviews the subject of Kac-Moody and Virasoro Algebras.

This book is a collection of a series of lectures given by Prof.

This book is an exposition on the interesting interplay between topological dynamics and the theory of C*-algebras.

Clifford algebras are assuming now an increasing role in theoretical physics.

Group testing was first proposed for blood tests, but soon found its way to many industrial applications.

The exact solution of C N Yang's one-dimensional many-body problem with repulsive delta-function interactions and R J Baxter's eight-vertex statistical model are brilliant achievements in many-body statistical physics.

After three decades since the first nearly complete edition of John von Neumann's papers, this book is a valuable selection of those papers and excerpts of his books that are most characteristic of his activity, and reveal that of his continuous influence.

The splitting extrapolation method is a newly developed technique for solving multidimensional mathematical problems.

This is probably the first book dedicated to this topic.

The book presents the methods of analysis of dynamical mechanical systems subjected to stochastic excitations in form of random trains of impulses.

This book provides a concise presentation of the major techniques for determining analytic approximations to the solutions of planar oscillatory dynamic systems.

This book provides a systematic and self-consistent introduction to the nonlinear continuum mechanics of solids, from the main axioms to comprehensive aspects of the theory.

This monograph defines the notion of a "e;system"e; by reference to those systems which exhibit goal-oriented behavior and utilize the notion of decision making and controls.

This book is an exposition of a new approach to the Navier-Stokes equations, using powerful techniques provided by nonstandard analysis, as developed by the authors.

This monograph is an outgrowth of a set of lecture notes on the maximum entropy method delivered at the 1st Venezuelan School of Mathematics.

This book recounts the connections between multidimensional hypergeometric functions and representation theory.

This book provides a systematic and unified approach to the analysis, identification and optimal control of continuous-time dynamical systems via orthogonal polynomials such as Legendre, Laguerre, Hermite, Tchebycheff, Jacobi, Gegenbauer, and via orthogonal functions such as sine-cosine, block-pulse, and Walsh.

This book of lecture notes contains theoretical background material required for computer generation of random fields, which is of interest in various fields of applied mathematics.

In the past decade there has been an extemely rapid growth in the interest and development of quantum group theory.

WAVELETS AND RENORMALIZATION describes the role played by wavelets in Euclidean field theory and classical statistical mechanics.

The present monograph is a state-of-art survey of the geometry of matrices whose study was initiated by L K Hua in the forties.

Language prototyping provides a means to generate language implementations automatically from high-level language definitions.

This monograph surveys the role of some associative and non-associative algebras, remarkable by their ubiquitous appearance in contemporary theoretical physics, particularly in particle physics.

Linear Algebra constitutes a foundation course for those specializing in the fields of mathematics, engineering and science.

The quantization of physical systems moving on group and symmetric spaces has been an area of active research over the past three decades.

This book is concerned with the structure of linear semigroups, that is, subsemigroups of the multiplicative semigroup Mn(K) of n n matrices over a field K (or, more generally, skew linear semigroups - if K is allowed to be a division ring) and its applications to certain problems on associative algebras, semigroups and linear representations.

This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory.

This book provides an introduction to the algebraic theory of semirings and, in this context, to basic algebraic concepts as e.

The book combines both rigor and intuition to derive most of the classical results of linear and nonlinear filtering and beyond.

This book is an expanded version of the lectures given at the Nankai Mathematical Summer School in 1997.

New Edition: Lipschitz Algebras (2nd Edition)The Lipschitz algebras Lip(M), for M a complete metric space, are quite analogous to the spaces C(I ) and Linfinity(X), for I a compact Hausdorff space and X a I -finite measure space.

Written by two top statisticians with experience in teaching matrix methods for applications in statistics, econometrics and related areas, this book provides a comprehensive treatment of the latest techniques in matrix algebra.

In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed.

The Kronecker product of matrices plays a central role in mathematics and in applications found in engineering and theoretical physics.

This book, an outgrowth of the author's distinguished lecture series in Japan in 1995, identifies and describes current results and issues in certain areas of computational fluid dynamics, mathematical physics, and linear algebra.

This book gives a systematic and comprehensive presentation of the results concerning effective behavior of elastic and plastic plates with periodic or quasiperiodic structure.

This book is the first to be devoted entirely to fuzzy abstract algebra.

This volume is based on the lectures given by the authors at Wuhan University and Hubei University in courses on abstract algebra.

This book is based on the idea that Boltzmann-like modelling methods can be developed to design, with special attention to applied sciences, kinetic-type models which are called generalized kinetic models.

This book concerns a rapidly developing area of science that deals with the behavior of porous media saturated by fluids.

The representation theory of affine Lie algebras has been developed in close connection with various areas of mathematics and mathematical physics in the last two decades.

This book contains the definitions of several ring constructions used in various applications.

The influence of different gomomorphic images on the structure of a group is one of the most important and natural problems of group theory.

Infinite products of matrices are used in nonhomogeneous Markov chains, Markov set-chains, demographics, probabilistic automata, production and manpower systems, tomography, and fractals.