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**About this book :- **
**Abstract Algebra (3E) ** written by
** David S. Dummit** and ** Richard M. Foote **.

The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the student's understanding. The text book is designed for a full-year introduction to abstract algebra at the advanced undergraduate or graduate level, but contains substantially more material than would normally be covered in one year. Portions of the book may also be used for various one-semester topics courses in advanced algebra, each of which would provide a solid background for a follow-up course delving more deeply into one of many possible areas: algebraic number theory, algebraic topology, algebraic geometry, representation theory, Lie groups, group theory, ring theory etc.

**Book Detail :- **
** Title: ** Abstract Algebra
** Edition: ** Third Edition
** Author(s): ** David S. Dummit, Richard M. Foote
** Publisher: ** Wiley
** Series: **
** Year: ** 2003
** Pages: ** 946
** Type: ** PDF
** Language: ** Englsih
** ISBN: ** 0471433349,9780471433347
** Country: ** US

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**About Author :- **

The author ** David Steven Dummit **
is a professor in the Mathematics department at University of Vermont

The author ** Richard M. Foote **
Department of Mathematics & Statistics, Professor Emeritus. Areas of Expertise and/or Research. Group theory and applications, algebraic number theory.

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** • Download PDF Abstract Algebra (3E) by David Dummit and Richard Foote **

** • Download PDF Abstract Algebra (3E Solution) by David Dummit and Richard Foote **

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**Book Contents :- **
**Abstract Algebra (3E) ** written by
** David S. Dummit** and ** Richard M. Foote **.
cover the following topics.

0. Preliminaries

**Part 1 - GROUP THEORY **

1. Introduction to Groups

2. Subgroups

3. Quotient Groups and Homomorphisms

4. Group Actions

5. Direct and Semidirect Products and Abelian Groups

6. Further Topics in Group Theory

**Part II - RING THEORY **

7. Introduction to Rings

8. Euclidean Domains, Principal Ideal Domains and Unique Factorization Domains

9. Polynomial Rings

**Part III - MODULES AN D VECTOR SPACES**

10. Introduction to Module Theory

11. Vector Spaces

12. Modules over Principal Ideal Domains

**Part IV - FIELD THEORY AND GALOIS THEORY**

13. Field Theory

14. Galois Theory

**Part V - AN INTRODUCTION TO COMMUTATIVE RINGS, ALGEBRAIC GEOM ETRY, AND HOMOLOGICAL ALGEBRA**

15. Commutative Rings and Algebraic Geometry

16. Artinian Rings, Discrete Valuation Rings, and Dedekind Domains

17. Introduction to Homological Algebra and Group Cohomology
**Part VI - INTRODUCTION TO THE REPRESENTATION THEORY OF FINITE GROUPS**

18. Representation Theory and Character Theory

19. Examples and Applications of Character Theory

Appendix 1: Cartesian Products and Zorn's Lemma

Appendix II: Category Theory

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