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Groups, Rings and Fields

  • Textbook
  • © 1998

Overview

Authors:
  1. D. A. R. Wallace

    1. Dept. of Mathematics, Strathclyde University, Glasgow, UK

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  • INCLUDES NUMEROUS EXAMPLES AND EXERCISES (WITH SOLUTIONS) WHICH MAKE IT IDEAL FOR SELF-STUDY PROMOTES A FEELING FOR THE EVOLUTIONARY AND HISTORICAL DEVELOPMENT OF ALGEBRA
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Undergraduate Mathematics Series (SUMS)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-viii
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  2. Sets and Mappings

    • D. A. R. Wallace
    Pages 1-46

  3. The Integers

    • D. A. R. Wallace
    Pages 47-70

  4. Introduction to Rings

    • D. A. R. Wallace
    Pages 71-92

  5. Introduction to Groups

    • D. A. R. Wallace
    Pages 93-144

  6. Rings

    • D. A. R. Wallace
    Pages 145-190

  7. Topics in Group Theory

    • D. A. R. Wallace
    Pages 191-223

  8. Back Matter

    Pages 225-248
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Keywords

About this book

David Wallace has written a text on modern algebra which is suitable for a first course in the subject given to mathematics undergraduates. It aims to promote a feeling for the evolutionary and historical development of algebra. It assumes some familiarity with complex numbers, matrices and linear algebra which are commonly taught during the first year of an undergraduate course. Each chapter contains examples, exercises and solutions, perfectly suited to aid self-study. All arguments in the text are carefully crafted to promote understanding and enjoyment for the reader.

Authors and Affiliations

  • Dept. of Mathematics, Strathclyde University, Glasgow, UK

    D. A. R. Wallace

Bibliographic Information

  • Book Title: Groups, Rings and Fields

  • Authors: D. A. R. Wallace

  • Series Title: Springer Undergraduate Mathematics Series

  • DOI: https://doi.org/10.1007/978-1-4471-0425-4

  • Publisher: Springer London

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag London 1998

  • Softcover ISBN: 978-3-540-76177-8Published: 31 July 1998

  • eBook ISBN: 978-1-4471-0425-4Published: 06 December 2012

  • Series ISSN: 1615-2085

  • Series E-ISSN: 2197-4144

  • Edition Number: 1

  • Number of Pages: VIII, 248

  • Number of Illustrations: 4 b/w illustrations

  • Topics: Algebra, Commutative Rings and Algebras

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