Introduction to Abstract Algebra / Edition 3

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Overview

This new edition of a proven text offers systematic, concise, easy-to-understand explanations for these basic structures of abstract algebra suitable for self-study. Revised and refined to be accessible even to readers with only rudimentary college algebra, the Second Edition carefully balances coverage of groups, rings, and fields and uses real-world problems to illustrate the theory. An ideal resource for scientists and engineers as well as students preparing for the algebra qualifying examinations, Introduction to Abstract Algebra, Second Edition presents an array of features.
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Editorial Reviews

Booknews
Nicholson (mathematics, University of Calgary) introduces the basic structures of abstract in algebra<-->groups, rings and fields<-->in his textbook for a one- or two-semester course for undergraduates. The second edition has been revised to be accessible to students with only rudimentary college algebra. Annotation c. Book News, Inc., Portland, OR (booknews.com)
From the Publisher
“This could also be an excellent adjunct to more theoretically oriented textbooks used in more intensive courses.” (Computing Reviews, 5 November 2012)
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Product Details

  • ISBN-13: 9780471694922
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 11/28/2006
  • Edition description: REV
  • Edition number: 3
  • Pages: 534
  • Product dimensions: 7.26 (w) x 10.02 (h) x 1.23 (d)

Meet the Author

W. KEITH NICHOLSON, PhD, is Professor in the Department of Mathematics and Statistics at the University of Calgary, Canada. He has published extensively in his areas of research interest, which include clean rings, morphic rings and modules, and quasi-morphic rings. Dr. Nicholson is the coauthor of Modern Algebra with Applications, Second Edition, also published by Wiley.

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Table of Contents

Preface
Notation Used in the Text
A Sketch of the History of Algebra to 1929
Preliminaries 1
1 Integers and Permutations 26
2 Groups 79
3 Rings 188
4 Polynomials 243
5 Factorization in Integral Domains 306
6 Fields 333
7 Finitely Generated Abelian Groups 393
8 p-Groups and the Sylow Theorems 417
9 Series of Subgroups 460
10 Galois Theory 485
11 Algebras 525
App. A Complex Numbers 545
App. B Matrix Arithmetic 555
Bibliography 563
Selected Answers 566
Index 587
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