Abstract Algebra3rd edition

An Introduction

Abstract Algebra 3rd edition 9781111569624 1111569622
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1111569622
ISBN-13:
9781111569624

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Abstract Algebra

3rd edition

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Full Title:Abstract Algebra: An Introduction
Edition:3rd edition
ISBN-13:978-1111569624
Format:Hardback
Publisher:Cengage (7/27/2012)
Copyright:2013
Dimensions:7.4 x 9.4 x 1.2 inches
Weight:2.34lbs

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Abstract Algebra 3rd edition solutions are available for this textbook.

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.

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).