Algebra

Graduate text focusing on algebraic methods that can be applied to prove the Erdős–Ko–Rado Theorem and its generalizations.

This book provides a systematic and self-consistent introduction to the nonlinear continuum mechanics of solids, from the main axioms to comprehensive aspects of the theory.

Contemporary Abstract Algebra, Tenth EditionFor more than three decades, this classic text has been widely appreciated by instructors and students alike.

These notes comprise an introduction to combinatorial group theory and represent an extensive revision of the author''s earlier book in this series.

Linear algebra is the branch of mathematics that has grown from a care- ful study of the problem of solving systems of linear equations.

Lie groups has been an increasing area of focus and rich research since the middle of the 20th century.

We restrict ourselves to two aspects of the field of group schemes, in which the results are fairly complete: commutative algebraic group schemes over an algebraically closed field (of characteristic different from zero), and a duality theory concern- ing abelian schemes over a locally noetherian prescheme.

Quaternionic and Clifford analysis are an extension of complex analysis into higher dimensions.

A comprehensive reference guide for essential mathematical formulas and scientific data for engineers, covering topics from algebra to properties of organic compounds.

This book provides students with the rudiments of Linear Algebra, a fundamental subject for students in all areas of science and technology.

Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields.

This book is intended as a textbook for an undergraduate course on algebra.

This volume compiles research results from the fifth Function Spaces International Conference, held in Poznan, Poland.

The problem of classifying the finite-dimensional simple Lie algebras over fields of characteristic p > 0 is a long-standing one.

This volume contains papers which, for the most part, are based on talks given at an international conference on Lattices, Semigroups, and Universal Algebra that was held in Lisbon, Portugal during the week of June 20-24, 1988.

There exists a vast literature on numerical methods of linear algebra.

After a classical presentation of quadratic mappings and Clifford algebras over arbitrary rings (commutative, associative, with unit), other topics involve more original methods: interior multiplications allow an effective treatment of deformations of Clifford algebras; the relations between automorphisms of quadratic forms and Clifford algebras are based on the concept of the Lipschitz monoid, from which several groups are derived; and the Cartan-Chevalley theory of hyperbolic spaces becomes much more general, precise and effective.

This volume contains 19 articles written by speakers at the Advanced Study Institute on 'Modular representations and subgroup structure of al- gebraic groups and related finite groups' held at the Isaac Newton Institute, Cambridge from 23rd June to 4th July 1997.

This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues, in celebration of the impact Vyjayanthi Chari has had on this area.

This book contains the first systematic exposition of the global and local theory of dynamics equivariant with respect to a (compact) Lie group.

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These notes are in part based on a course for advanced students in the applications of stochastic processes held in 1978 at the University of Konstanz.

This book and the following second volume is an introduction into modern algebraic geometry.

At first sight, finitely generated abelian groups and canonical forms of matrices appear to have little in common.

The problem of classifying the finite dimensional simple Lie algebras over fields of characteristic p > 0 is a long standing one.

This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Coding Theory.

This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties.

Explore the foundations and modern applications of Galois theory Galois theory is widely regarded as one of the most elegant areas of mathematics.

This book presents, in a uniform way, several problems in applied mechanics, which are analysed using the matrix theory and the properties of eigenvalues and eigenvectors.

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Algebra of Polynomials

A valuable addition to the Lecture Notes in Pure and Applied Mathematics series, this reference results from a conference held in St.

This second of two volumes gives a modern exposition of the theory of Banach algebras.

The concept of formal Lie group was derived in a natural way from classical Lie theory by S.

The first book to deal comprehensively with the theory of fusion systems.

This book is the first systematic treatment of this area so far scattered in a vast number of articles.

The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory.

Natural duality theory is one of the major growth areas within general algebra.

This text is based on lectures delivered by the first author on various, often nonstandard, parts of knot theory and related subjects.

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 book is devoted to some topics of the general theory of invariant and quasi-invariant measures.