Algebra

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.

This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time.

This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics.

This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces.

This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras.

Algebra

An Introduction to Homological Algebra discusses the origins of algebraic topology.

This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics.

Differential Algebra & Algebraic Groups

Approaches Banach space theory using methods from homological algebra, with concrete examples and proofs of many new and classical results.

This work inaugurates a new and general solution method for arbitrary continuous nonlinear PDEs.

This text brings the reader to the frontiers of current research in topological rings.

Group Representations Volume 1 Part B

This volume forms a valuable source of information on recent developments in research in combinatorics, with special regard to the geometric point of view.

This innovative undergraduate textbook approaches number theory through the lens of abstract algebra.

Wiring diagrams form a kind of graphical language that describes operations or processes with multiple inputs and outputs, and shows how such operations are wired together to form a larger and more complex operation.

The transition to upper-level math courses is often difficult because of the shift in emphasis from computation (in calculus) to abstraction and proof (in junior/senior courses).

In this appealing and well-written text, Richard Bronson gives readers a substructure for a firm understanding of the abstract concepts of linear algebra and its applications.

This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites.

This textbook introduces linear algebra and optimization in the context of machine learning.

This book offers a user friendly, hands-on, and systematic introduction to applied and computational harmonic analysis: to Fourier analysis, signal processing and wavelets; and to their interplay and applications.

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

Fundamentals of Abstract Algebra is a primary textbook for a one year first course in Abstract Algebra, but it has much more to offer besides this.

The book is devoted to the perturbation analysis of matrix equations.

This is the long awaited follow-up to Lie Algebras, Part I which covered a major part of the theory of Kac-Moody algebras, stressing primarily their mathematical structure.

The aim of the present work is two-fold.

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

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.

In this book the authors try to bridge the gap between the treatments of matrix theory and linear algebra.

Intended for a serious first course or a second course, this textbook will carry students beyond eigenvalues and eigenvectors to the classification of bilinear forms, to normal matrices, to spectral decompositions, and to the Jordan form.

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.

"e;CLEP COLLEGE ALGEBRA Study Guide 2 of 2: ADVANCED ALGEBRA"e;500 questions and answers (ILLUSTRATED) that focus on essential advanced algebra concepts.

This book is based on the author's mini course delivered at Tokyo University of Marine Science and Technology in March 2019.