Bøger i Chapman & Hall/CRC Pure and Applied Mathematics serien

Presents the knowledge on the theory of non-unique factorizations and discusses its algebraic, combinatorial, and analytic fundamentals. This book focuses on factorization properties in rings of integers, orders of algebraic number fields, holomorphy rings, Krull and Mori domains, Krull monoids, congruence monoids, and Hilbert monoids.

This book presents original problems from graduate courses in pure and applied mathematics and even small research topics, significant theorems and information on recent results. It is helpful for specialists working in differential equations.

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.

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

A comprehensive presentation of abstract algebra and a treatment of the applications of algebraic techniques and the relationship of algebra to other disciplines, such as number theory, combinatorics, geometry, topology, differential equations, and Markov chains.

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.

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.

Presents an account of the theory of real function algebras. This volume includes: an introduction to real Banach algebras; various generalizations of the Stone-Weierstrass theorem; Gleason parts; Choquet and Shilov boundaries; isometries of real function algebras; extensive references; and, a bibliography.

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

Poses 134 problems concerning real and complex numbers, and 123 problems concerning sequences, until one encounters 201 problems concerning functional analysis.

Based upon the authors' research over a period of years, this is a monograph suitable for sophisticated students of theoretical statistics.

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 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 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.

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

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.

Presents the structure of algebras appearing in representation theory of groups and algebras with general ring theoretic methods related to representation theory. This book covers affine algebraic sets and the nullstellensatz, polynomial and rational functions, and projective algebraic sets.

Offers a treatise on finite difference inequalities that have important applications to theories of various classes of finite difference and sum-difference equations. This title includes several linear and nonlinear finite difference inequalities.

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.

A text for mathematics courses that covers the basics such as relations, functions, orderings, finite, countable, and uncountable sets, and cardinal and ordinal numbers. It includes material on normal forms and Goodstein sequences. It provides important ideas including filters, ultrafilters, closed unbounded and stationary sets, and partitions.