Modern Algebra: An Introduction / Edition 5

by John R. Durbin

Overview

This book presents an introduction to modern (abstract) algebra covering the basic ideas of groups, rings, and fields. The first part of the book treats ideas that are important but neither abstract nor complicated, and provides practice in handling mathematical statements - their meaning, quantification, negation, and proof. This edition features a new section to give more substance to the introduction to Galois theory, updated lists of references and discussions of topics such as Fermat's Last Theorem and the finite simple groups.

Product Details

ISBN-13:	9780471433354
Publisher:	Wiley
Publication date:	04/23/2004
Edition description:	REV
Pages:	368
Product dimensions:	7.26(w) x 10.02(h) x 0.71(d)

About the Author

Dr. John R. Durbin is a professor of Mathematics at The University of Texas Austin. A native Kansan, he received B.A. and M.A. degrees from the University of Wichita (now Wichita State University), and a Ph.D. from the University of Kansas. He came to UT immediately thereafter.
Professor Durbin has been active in faculty governance at the University for many years. He served as chair of the Faculty Senate, 1982-84 and 1991-92, and as Secretary of the General Faculty, 1975-76 and 1998-2003.
In September of 2003 he received the University & Civitatis Award,in recognition of dedicated and meritorious service to the University above and beyond the regular expectations of teaching, research, and writing.
He has received a Teaching Excellence Award from the College of Natural Sciences and an Outstanding Teaching Award from the Department of Mathematics.

Table of Contents

Mappings and Operations.
Introduction to Groups.
Equivalence. Congruence. Divisibility.
Groups.
Group Homomorphisms.
Introduction to Rings.
The Familiar Number Systems.
Polynomials.
Quotient Rings.
Field Extensions.
Polynomial Equations.
Geometric Constructions.
Application of Permutation Groups.
Symmetry.
Algebraic Coding.
Lattices and Boolean Algebras.
Appendices.
Photo Credit List.
Index.