Abstract Algebra: An Introduction / Edition 2

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Overview

Abstract Algebra: An Introduction is set apart by its thematic development and organization. The chapters are organized around two themes: arithmetic and congruence. Each theme is developed first for the integers, then for polynomials, and finally for rings and groups. This enables students to see where many abstract concepts come from, why they are important, and how they relate to one another. New to this edition is a "groups first" option that enables those who prefer to cover groups before rings to do so easily.

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Editorial Reviews

Booknews
A textbook for a first undergraduate course in modern abstract algebra. Linear algebra is not a prerequisite. Annotation c. Book News, Inc., Portland, OR booknews.com
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Product Details

  • ISBN-13: 9780030105593
  • Publisher: Cengage Learning
  • Publication date: 7/12/1996
  • Edition description: REV
  • Edition number: 2
  • Pages: 608
  • Sales rank: 1,267,480
  • Product dimensions: 7.78 (w) x 9.61 (h) x 1.18 (d)

Meet the Author


Thomas W. Hungerford received his M.S. and Ph.D. from the University of Chicago. He has taught at the University of Washington and at Cleveland State University, and is now at St. Louis University. His research fields are algebra and mathematics education. He is the author of many notable books for undergraduate and graduate level courses. These include: ALGEBRA (Springer Verlag, Graduate Texts in Mathematics #73, 1974); ABSTRACT ALGEBRA: AN INTRODUCTION, Second Edition (Harcourt, 1997); MATHEMATICS WITH APPLICATIONS, Eighth Edition (Addison-Wesley, 2003; with M. Lial); and CONTEMPORARY PRECALCULUS: A GRAPHING APPROACH, Fourth Edition (Brooks/Cole, 2004).
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Table of Contents

1. Arithmetic in Z Revisited. 2. Congruence in Z and Modular Arithmetic. 3. Rings. 4. Arithmetic in F[x]. 5. Congruence in F[x] and Congruence-Class Arithmetic. 6. Ideals and Quotient Rings. 7. Groups. 8. Normal Subgroups and Quotient Groups 9. Topics in Group Theory. 10. Arithmetic in Integral Domains. 11. Field Extensions. 12. Galois Theory. 13. Public-Key Cryptography. 14. The Chinese Remainder Theorem. 15. Geometric Constructions. 16. Algebraic Coding Theory. 17. Lattices and Boolean Algebras (available online only).

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  • Anonymous

    Posted September 3, 2002

    commentary on use

    I find that this book needs many more explicit examples for each section and subsection, as well as better and more descriptive solutions to the exercises. As a self study guide, one will get lost and desperate easily. Text is good to read, but again more explanations is needed. A better preference would be Dummit Foote Abstract Algebra, which feels very complete and detailed but may have too many topics that one wants to give up on the subject. I bought both books to study abstract algebra and group theory on my own in my spare time.

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