Algebra

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.

Algebra, as we know it today, consists of many different ideas, concepts and results.

Numerical Methods for Roots of Polynomials - Part II along with Part I (9780444527295) covers most of the traditional methods for polynomial root-finding such as interpolation and methods due to Graeffe, Laguerre, and Jenkins and Traub.

This is an abridged edition of the author's previous two-volume work, Ring Theory, which concentrates on essential material for a general ring theory course while ommitting much of the material intended for ring theory specialists.

Matrix Methods: Applied Linear Algebra, Third Edition, as a textbook, provides a unique and comprehensive balance between the theory and computation of matrices.

This book is revised and expanded version of the original German text.

Elementary Linear Algebra develops and explains in careful detail the computational techniques and fundamental theoretical results central to a first course in linear algebra.

When soliton theory, based on water waves, plasmas, fiber optics etc.

In 1898 Frobenius discovered a construction which, in present terminology, associates with every module of a subgroup the induced module of a group.

This monograph gives a systematic account of certain important topics pertaining to field theory, including the central ideas, basic results and fundamental methods.

In the past 15 years, the theory of crossed products has enjoyed a period of vigorous development.

Most topics in near-ring and near-field theory are treated here, along with an extensive introduction to the theory.

Let G be a finite group and let F be a field.

Results of research into large scale eigenvalue problems are presented in this volume.

A broad range of topics is covered here, including commutative monoid rings, the Jacobson radical of semigroup rings, blocks of modular group algebras, nilpotency index of the radical of group algebras, the isomorphism problem for group rings, inverse semigroup algebras and the Picard group of an abelian group ring.

This volume is addressed to those who wish to apply the methods and results of the theory of topological algebras to a variety of disciplines, even though confronted by particular or less general forms.

Relation algebras are algebras arising from the study of binary relations.

The two parts of this sharply focused book, Hypergeometric and Special Functions and Harmonic Analysis on Semisimple Symmetric Spaces, are derived from lecture notes for the European School of Group Theory, a forum providing high-level courses on recent developments in group theory.

Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics.

Handbook of Algebra

Handbook of Algebra defines algebra as consisting of many different ideas, concepts and results.

This book deals with numerical methods for solving large sparse linear systems of equations, particularly those arising from the discretization of partial differential equations.

The problems of constructing covering codes and of estimating their parameters are the main concern of this book.

The book contains a unitary and systematic presentation of both classical and very recent parts of a fundamental branch of functional analysis: linear semigroup theory with main emphasis on examples and applications.

For the past ten years, alternative loop rings have intrigued mathematicians from a wide cross-section of modern algebra.

This book provides a comprehensive exposition of the use of set-theoretic methods in abelian group theory, module theory, and homological algebra, including applications to Whitehead's Problem, the structure of Ext and the existence of almost-free modules over non-perfect rings.

This book is a compilation of several works from well-recognized figures in the field of Representation Theory.

The aim of this book is to present the fundamental theoretical results concerning inference rules in deductive formal systems.

Designed for advanced engineering, physical science, and applied mathematics students, this innovative textbook is an introduction to both the theory and practical application of linear algebra and functional analysis.

Introducción al Álgebra Lineal es un material de apoyo y referencia dirigido a los profesores y estudiantes del curso Álgebra Lineal, en el que se desarrolla el enfoque didáctico para el estudio, la enseñanza y el aprendizaje de esta área.

This third edition of Mathematica by Example is completely compatible with recent Mathematica versions.

Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition, provides a rigorous yet accessible introduction to differential equations and dynamical systems.

Numerical Methods for Roots of Polynomials - Part I (along with volume 2 covers most of the traditional methods for polynomial root-finding such as Newton's, as well as numerous variations on them invented in the last few decades.

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.

This volume is a collection of surveys of research problems in topology and its applications.

Random Matrices gives a coherent and detailed description of analytical methods devised to study random matrices.

The Discrete Cosine Transform (DCT) is used in many applications by the scientific, engineering and research communities and in data compression in particular.

This book familiarizes both popular and fundamental notions and techniques from the theory of non-normed topological algebras with involution, demonstrating with examples and basic results the necessity of this perspective.

A Concrete Approach to Abstract Algebra presents a solid and highly accessible introduction to abstract algebra by providing details on the building blocks of abstract algebra.