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Algebra

  • Textbook
  • © 1974

Overview

Authors:
  1. Thomas W. Hungerford

    1. Department of Mathematics, Cleveland State University, Cleveland, USA

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Part of the book series: Graduate Texts in Mathematics (GTM, volume 73)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xxiii
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  2. Introduction

    • Thomas W. Hungerford
    Pages 1-22

  3. Groups

    • Thomas W. Hungerford
    Pages 23-69

  4. The Structure of Groups

    • Thomas W. Hungerford
    Pages 70-113

  5. Rings

    • Thomas W. Hungerford
    Pages 114-167

  6. Modules

    • Thomas W. Hungerford
    Pages 168-229

  7. Fields and Galois Theory

    • Thomas W. Hungerford
    Pages 230-310

  8. The Structure of Fields

    • Thomas W. Hungerford
    Pages 311-326

  9. Linear Algebra

    • Thomas W. Hungerford
    Pages 327-370

  10. Commutative Rings and Modules

    • Thomas W. Hungerford
    Pages 371-413

  11. The Structure of Rings

    • Thomas W. Hungerford
    Pages 414-463

  12. Categories

    • Thomas W. Hungerford
    Pages 464-484

  13. Back Matter

    Pages 485-504
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Keywords

About this book

Algebra fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accomodate a wide variety of instructors and course contents. The guiding philosophical principle throughout the text is that the material should be presented in the maximum usable generality consistent with good pedagogy. Therefore it is essentially self-contained, stresses clarity rather than brevity and contains an unusually large number of illustrative exercises. The book covers major areas of modern algebra, which is a necessity for most mathematics students in sufficient breadth and depth.

Reviews

From the book reviews:

“This is a text for a first-year graduate course in abstract algebra. It covers all the standard topics and has more than enough material for a year course.” (Allen Stenger, MAA Reviews, September, 2014)

Thomas W. Hungerford

Algebra

"An excellent text from which to teach the beginning graduate survey course in algebra and I would recommend it to anyone considering a text for such a course."—LINEAR AND MULTILINEAR ALGEBRA

Authors and Affiliations

  • Department of Mathematics, Cleveland State University, Cleveland, USA

    Thomas W. Hungerford

Bibliographic Information

  • Book Title: Algebra

  • Authors: Thomas W. Hungerford

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-6101-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1974

  • Hardcover ISBN: 978-0-387-90518-1Published: 03 December 1980

  • Softcover ISBN: 978-1-4612-6103-2Published: 13 October 2011

  • eBook ISBN: 978-1-4612-6101-8Published: 06 December 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: XXIV, 504

  • Additional Information: Originally published by Holt, Rinehart and Winston, Inc.

  • Topics: Algebra

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