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**About this book :- **
**Abstract Algebra Theory and Applications ** written by
** Thomas W. Judson **.

This text is intended for a one- or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. However, with the development of computing in the last several decades, applications that involve abstract algebra and discrete mathematics have become increasingly important, and many science, engineering, and computer science students are now electing to minor in mathematics. Though theory still occupies a central role in the subject of abstract algebra and no student should go through such a course without a good notion of what a proof is, the importance of applications such as coding theory and cryptography has grown significantly.

**Book Detail :- **
** Title: ** Abstract Algebra Theory and Applications
** Edition: **
** Author(s): ** Thomas W. Judson
** Publisher: **
** Series: **
** Year: ** 2013
** Pages: ** 444
** Type: ** PDF
** Language: ** Englsih
** ISBN: ** 1944325093,9781944325091
** Country: ** US

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**About Author :- **

The author ** Thomas Judson ** , Stephen F. Austin State University

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**Book Contents :- **
**Abstract Algebra Theory and Applications ** written by
** Thomas W. Judson **.
cover the following topics.

1. Preliminaries

2. The Integers

3. Groups

4. Cyclic Groups

5. Permutation Groups

6. Cosets and Lagrange’s Theorem

7. Introduction to Cryptography

8. Algebraic Coding Theory

9. Isomorphisms

10. Normal Subgroups and Factor Groups

11. Homomorphisms

12. Matrix Groups and Symmetry

13. The Structure of Groups

14. Group Actions

15. The Sylow Theorems

16. Rings

17. Polynomials

18. Integral Domains

19. Lattices and Boolean Algebras

20. Vector Spaces

21. Fields

22. Finite Fields

23. Galois Theory

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