Algebra

A rapid route for graduate students and researchers to the frontiers of research in this evergreen subject, first published in 2005.

A monograph on Moonshine, a mathematical physics topic, for graduate students and researchers.

Combining a concrete perspective with an exploration-based approach, Exploratory Galois Theory develops Galois theory at an entirely undergraduate level.

The first modern, comprehensive introduction to central simple algebras for graduate students and researchers.

This book presents the theory of free ideal rings (firs) in detail.

This book presents a self-contained graduate-level introduction to the topic of L-functions.

This 2004 introduction to noncommutative noetherian rings is intended to be accessible to anyone with a basic background in abstract algebra.

Up-to-the minute research on important stochastic processes.

A revised and updated version of popular textbook on abstract algebra, including new sections and numerous problems.

This book provides a unified approach to much of the theories of equivalence and duality between categories of modules.

A research level synthesis and reference in a key branch of modern algebra, first published in 2004.

This book describes the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology, and combinatorics.

This book provides a thorough but relaxed mathematical treatment of Lie algebras.

A monograph demonstrating remarkable and unexpected interdisciplinary connections in the areas of commutative algebra, invariant theory and algebraic topology.

Kleshchev describes a new approach to the subject of the representation theory of symmetric groups.

A comprehensive introduction to preconditioning techniques, now an essential part of successful and efficient iterative solutions of matrices.

Unified introduction to algebra and geometry, emphasising links between the topics.

This is an essentially self-contained monograph centered on the new double Hecke algebra technique.

This 2003 book investigates interplay between algebra and geometry.

Theory of permutation group algorithms for graduates and above.

An exposition of the important geometric technique of calculating syzygies.

Collection of papers summarising the state of the art.

This is the first extensive treatment of the theory of corings and their comodules.

This book studies the geometric theory of polynomials and rational functions in the plane.

This book tells the story of the first computer exploration of Klein''s vision of infinitely repeated reflections, featuring extraordinary images.

Leading researchers discuss quantum groups and integrable systems, for graduates and researchers.

Provides an elementary account of the basic facts about quasi-Frobenius rings.

Computational algebra; computational number theory; commutative algebra; handbook; reference; algorithmic; modern.

Authoritative and comprehensive account; an essential handbook for all those working in the area.

A quick introduction to foliations and Lie groupoids with numerous examples and exercises to aid the reader.

First account of a theory, created by Macdonald, of a class of orthogonal polynomial, which is related to mathematical physics.

This book covers most of the known results on reducibility of polynomials.

This is the second edition of the popular textbook on representation theory of finite groups.

Solid but concise, this account of Lie algebra emphasizes the theory's simplicity and offers new approaches to major theorems.

"e;A classic of pure mathematics and symbolic logic .

This in-depth introduction to classical topics in higher algebra provides rigorous, detailed proofs for its explorations of some of mathematics' most significant concepts, including matrices, invariants, and groups.

Designed to acquaint students of particle physiME already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories.

This complete and coherent exposition, complemented by numerous illustrative examples, offers readers a text that can teach by itself.

Linear algebra is one of the central disciplines in mathematics.

Praise for the first edition "e;This book is clearly written and presents a large number of examples illustrating the theory .

A significantly revised and improved introduction to a critical aspect of scientific computation Matrix computations lie at the heart of most scientific computational tasks.

Explore the main algebraic structures and number systems that play a central role across the field of mathematics Algebra and number theory are two powerful branches of modern mathematics at the forefront of current mathematical research, and each plays an increasingly significant role in different branches of mathematics, from geometry and topology to computing and communications.

Learn to: Solve linear algebra equations in several ways Put data in order with matrices Determine values with determinants Work with eigenvalues and eigenvectors Your hands-on guide to real-world applications of linear algebra Does linear algebra leave you feeling lost?

A step-by-step guide to computing and graphics in regression analysis In this unique book, leading statisticians Dennis Cook and Sanford Weisberg expertly blend regression fundamentals and cutting-edge graphical techniques.

This insightful book combines the history, pedagogy, and popularization of algebra to present a unified discussion of the subject.

Large dimensional random matrices (LDRM) with specific patterns arise in econometrics, computer science, mathematics, physics, and statistics.

Large dimensional random matrices (LDRM) with specific patterns arise in econometrics, computer science, mathematics, physics, and statistics.

Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 1 aims to describe the recent progress in nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete).

Matrix Inequalities and Their Extensions to Lie Groups gives a systematic and updated account of recent important extensions of classical matrix results, especially matrix inequalities, in the context of Lie groups.

Clear prose, tight organization, and a wealth of examples and computational techniques make Basic Matrix Algebra with Algorithms and Applications an outstanding introduction to linear algebra.