Algebra

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.

This book is based on the conference on Function Spaces held at Southern Illinois University at Edwardsville, in April, 1990.

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.

This book covers the application of algebraic inequalities for reliability improvement and for uncertainty and risk reduction.

This book covers the application of algebraic inequalities for reliability improvement and for uncertainty and risk reduction.

Sequence spaces and summability over valued fields is a research book aimed at research scholars, graduate students and teachers with an interest in Summability Theory both Classical (Archimedean) and Ultrametric (non-Archimedean).

3D rotation analysis is widely encountered in everyday problems thanks to the development of computers.

3D rotation analysis is widely encountered in everyday problems thanks to the development of computers.

The trajectory of fractional calculus has undergone several periods of intensive development, both in pure and applied sciences.

The trajectory of fractional calculus has undergone several periods of intensive development, both in pure and applied sciences.

Sequence spaces and summability over valued fields is a research book aimed at research scholars, graduate students and teachers with an interest in Summability Theory both Classical (Archimedean) and Ultrametric (non-Archimedean).

Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy.

The advent of Hinfinity-control was a truly remarkable innovation in multivariable theory.

This work is a concise introduction to spectral theory of Hilbert space operators.

Building on the author's previous edition on the subject (Introduction to Linear Algebra, Jones & Bartlett, 1996), this book offers a refreshingly concise text suitable for a standard course in linear algebra, presenting a carefully selected array of essential topics that can be thoroughly covered in a single semester.

An important question in geometry and analysis is to know when two k-forms f and g are equivalent through a change of variables.

Differential geometry is the study of the curvature and calculus of curves and surfaces.

This volume consists of expository and research articles that highlight the various Lie algebraic methods used in mathematical research today.

Fundamentals of Group Theory provides a comprehensive account of the basic theory of groups.

This book presents the general theory of categorical closure operators to- gether with a number of examples, mostly drawn from topology and alge- bra, which illustrate the general concepts in several concrete situations.

"e;102 Combinatorial Problems"e; consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team.

One of the great successes of twentieth century mathematics has been the remarkable qualitative understanding of rational and integral points on curves, gleaned in part through the theorems of Mordell, Weil, Siegel, and Faltings.

The subject of Clifford algebras has become an increasingly rich area of research with a significant number of important applications not only to mathematical physics but to numerical analysis, harmonic analysis, and computer science.

This book deals with two subjects.

Published in honor of his 70th birthday, this volume explores and celebrates the work of G.

This book is based on lecture notes from a second-year graduate course, and is a greatly expanded version of our previous monograph [K8].

A group of Gerry Schwarz's colleagues and collaborators gathered at the Fields Institute in Toronto for a mathematical festschrift in honor of his 60th birthday.

One of the landmarks in the history of mathematics is the proof of the nonex- tence of algorithms based solely on radicals and elementary arithmetic operations (addition, subtraction, multiplication, and division) for solutions of general al- braic equations of degrees higher than four.

The first edition of this book presented the theory of linear algebraic groups over an algebraically closed field.

Many of the important and creative developments in modern mathematics resulted from attempts to solve questions that originate in number theory.

In recent decades, quantization has led to interesting applications in various mathematical branches.

Life has many surprises.

"e;This book revives and vastly expands the classical theory of resultants and discriminants.

According to Drinfeld, a quantum group is the same as a Hopf algebra.

An Introduction to Tensors and Group Theory for Physicists provides both an intuitive and rigorous approach to tensors and groups and their role in theoretical physics and applied mathematics.

This concise, self-contained textbook gives an in-depth look at problem-solving from a mathematician's point-of-view.

The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics.

Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals.

A cornerstone of undergraduate mathematics, science, and engineering, this clear and rigorous presentation of the fundamentals of linear algebra is unique in its emphasis and integration of computational skills and mathematical abstractions.

Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics.

Advances in technology over the last 25 years have created a situation in which workers in diverse areas of computerscience and engineering have found it neces- sary to increase their knowledge of related fields in order to make further progress.

The field of vertex operator algebras is an active area of research and plays an integral role in infinite-dimensional Lie theory, string theory, and conformal field theory, and other subdisciplines of mathematics and physics.

Prior to the nineteenth century, algebra meant the study of the solution of polynomial equations.

Why Olympiads?

Building bridges between classical results and contemporary nonstandard problems, Mathematical Bridges embraces important topics in analysis and algebra from a problem-solving perspective.

Differential geometry, in the classical sense, is developed through the theory of smooth manifolds.

Rooted in a pedagogically successful problem-solving approach to linear algebra, this work fills a gap in the literature that is sharply divided between, on the one end, elementary texts with only limited exercises and examples, and, at the other end, books too advanced in prerequisites and too specialized in focus to appeal to a wide audience.