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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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