Bücher der Reihe Chapman & Hall/CRC Pure and Applied Mathematics

Cover the structure theory of semigroups. This title examines constructions and descriptions of semigroups and emphasizes finite, commutative, regular and inverse semigroups. It introduces various structure theorems on regular and commutative semigroups.

This book includes information on elementary general topology, the Cauchy Integral Theorem and concepts of homology and homotopy in their application to the Cauchy theory. It is intended for an introductory course in complex analysis at the first-year graduate and advanced undergraduate level.

A textbook for either a semester or year course for graduate students of mathematics who have had at least one course in topology. Introduces continuum theory through a combination of classical and modern techniques. Annotation copyright Book News, Inc. Portland, Or.

A selection of some important topics in complex analysis, intended as a sequel to the author's Classical complex analysis (see preceding entry). The five chapters are devoted to analytic continuation; conformal mappings, univalent functions, and nonconformal mappings; entire function; meromorphic fu

This book presents a theory of necessary conditions for an extremum, including formal conditions for an extremum and computational methods. It states the general results of the theory and shows how these results can be particularized to specific problems.

This book deals with solutions of second order, linear, parabolic partial differential equations on an infinite strip emphasizing their integral representation, their initial values in several senses, and the relations between these. It is useful for graduate students, analysts and specialists.

Presents a mathematical study of the expressions - hemivariational inequalities - arising in problems that involve nonconvex, nonsmooth energy functions.

Presents a constructive theory of solvability on linear and non-linear abstract and differential equations involving: proper operator equations in separable Banach spaces, and treats the problem of existence of a solution for equations involving pseudo; proper and weakly; and, proper mappings, and illustrates their applications.

This practical reference and text presents the applications of tensors, Lie groups and algebra to Maxwell, Klein-Gordon and Dirac equations, making elementary theoretical physics comprehensible and high-level theoretical physics accessible.;Providing the fundamental mathematics necessary to understand the applications, Tensors and the Clifford Algebra offers lucid discussions of covariant tensor calculus; examines subjects from a variety of perspectives; supplies highly detailed developments of all calculations; employs the language of physics in its explanations; and illustrates the use of Clifford algebra and tensor calculus in studying bosons and fermions.;With over 2800 display equations and 14 appendixes, this book should be a useful reference for mathematical physicists and applied mathematicians, and an important text for upper-level undergraduate and graduate students in quantum mechanics, relativity, electromagnetism, theoretical physics, elasticity and field theory courses.

Suitable for graduate students, this title provides a survey of topological fields, and offers a relatively idiosyncratic account of valuation theory.

Focuses on the classical theory of number-theoretic functions emphasizing algebraic and multiplicative techniques. This volume contains various structure theorems basic to the study of arithmetic functions.

This definitive, example-rich text supplies approximately 100 examples to correspond with all major chapter topics and reviews infinite divisibility in light of the central limit problem.

Presents computer methods in approximation, simulation, and visualization for a host of alpha-stable stochastic processes.

Covers important aspects of symmetric structures in function of a single real variable. This book provides a historical perspective, proofs and useful methods for addressing problems. It provides assistance for real analysis problems involving symmetric derivatives, symmetric continuity and local symmetric structure of sets or functions.

This book explores the use of the concept of biorthogonality and discusses the various recurrence relations for the generalizations of the method of moments, the method of Lanczos, and the biconjugate gradient method. It is helpful for researchers in numerical analysis and approximation theory.

This outstanding reference presents current, state-of-the-art research on importantproblems of finite-dimensional nonlinear optimal control and controllability theory

Intends to bridge the gap between modern differential geometry and the mathematical physics of general relativity. This text includes material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, and the generic condition.

Suitable for specialists in functional analysis and stability theory, this work presents an exposition of estimations for norms of operator-valued functions, and applies the estimates to spectrum perturbations of linear operators and stability theory. It demonstrates the author's own approach to spectrum perturbations.

Features a theoretical framework to model phenomena with discontinuous changes. This book presents a generalized monotone iterative method in terms of upper and lower solutions appropriate for the study of discontinuous nonlinear differential equations. It also applies this method to derive suitable fixed point theorems in ordered abstract spaces.

Covering important aspects of the theory of unitary representations of nuclear Lie groups, this reference presents the general theory of energy representations and addresses various extensions of path groups and algebras. It discusses representations of G-valued jet bundles when G is not necessarily compact.

This book introduces various notions defined in graded terms extending the notions most frequently used as basic ingredients in the theory of Azumaya algebras: separability and Galois extensions of commutative rings, crossed products and Galois cohomology, Picard groups, and the Brauer group.

This book is an introduction to the subject and is devoted to standard material on linear functional analysis, and presents some ergodic theorems for classes of operators containing the quasi-compact operators. It discusses various classes of operators connected with the numerical range.

Discusses graph domination. This book covers various developments in domination in graphs and digraphs, dominating functions, and combinatorial problems on chessboards.

Presents an introduction to the algebraic theory of systems of differential equations, as developed by the Japanese school of M Sato and his colleagues. It also reviews hyperfunction-microfunction theory and the theory of D-modules.

This monograph arose from lectures at the University of Oklahoma on topics related to linear algebra over commutative rings. It provides an introduction of matrix theory over commutative rings. The monograph discusses the structure theory of a projective module.

This book includes information on elementary general topology, the Cauchy Integral Theorem and concepts of homology and homotopy in their application to the Cauchy theory. It is intended for an introductory course in complex analysis at the first-year graduate and advanced undergraduate level.

Examines developments in the oscillatory and nonoscillatory properties of solutions for functional differential equations, presenting basic oscillation theory as well as recent results. This book shows how to extend the techniques for boundary value problems of ordinary differential equations to those of functional differential equations.

This book presents an introduction to the structure and representation theory of modular Lie algebras over fields of positive characteristic. It introduces the beginner to the theory of modular Lie algebras and is meant to be a reference text for researchers.

Covers the results of the theory of non-commutative semigroup rings.

Serves as an introduction for solving differential equations using Lie's theory and related results. This book covers Loewy's theory, Janet bases, the theory of continuous groups of a 2-D manifold, Lie's symmetry analysis, and equivalence problems.