Abstract Algebra: An Introduction

Abstract Algebra: An Introduction

by Thomas W. Hungerford
Pub. Date:
Saunders College Publishing


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Abstract Algebra: An Introduction

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.

Product Details

ISBN-13: 9780030305580
Publisher: Saunders College Publishing
Publication date: 01/01/1990
Edition description: Older Edition
Pages: 512

About 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. In addition to ABSTRACT ALGEBRA: AN INTRODUCTION, these include: ALGEBRA (Springer, Graduate Texts in Mathematics, #73. 1974); MATHEMATICS WITH APPLICATIONS, Tenth Edition (Pearson, 2011; with M. Lial and J. Holcomb); and CONTEMPORARY PRECALCULUS, Fifth Edition (Cengage, 2009; with D. Shaw).

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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