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Abstract Algebra: A First Course (2nd Edition) by Dan Saracino

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About this book :-
Abstract Algebra: A First Course (2nd Edition) written by Dan Saracino , Colgate University, Hamilton, New York, United States.
This book is intended for use in a junior/senior level course in abstract algebra. The main change from the first edition is the addition of five new sections on field extensions and Galois theory, providing enough material for a two semester course. More minor changes include the simplification of some points in the presentation, the addition of some new exercises and the updating of some historical material.

Book Detail :-
Title: Abstract Algebra: A First Course
Edition: Second Edition
Author(s): Dan Saracino
Year: 2008
Pages: 320
Type: PDF
Language: Englsih
ISBN: 1577665368, 978-1577665366
Country: US
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About Author :-
Author Dan Saracino (1923–1988) was a mathematician, he was appointed as professor at the University of Chicago in 1951. He worked on a variety of areas of algebra, including ring theory, with over 100 research papers and over a dozen books.
, Colgate University, Hamilton, New York, United States.

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Book Contents :-
Abstract Algebra: A First Course (2nd Edition) written by Dan Saracino cover the following topics.
0. Sets and Induction
1. Binary Operation
2. Groups
3. Fundamnetal Theorems about groups
4. Power of an Element, Cyclic Groups
5. SubGroups
6. Direct Product
7. Functions
8. Symmetric Groups
9. Quivalence Relations, Cosets
10. Countring the Elements of a Finite Group
11. Normal Subgroups
12. Homomorphisms
13. Homomorphisms and Normal Subgroups
14. Direct Products and Finite Abelian Groups
15. Sylow Theorems
16. Rings
17. Subrings, Ideals and Quotient Rings
18. Ring Homomorphisms
19. Polynomials
20. From Polynomials to Fields
21. Unique Factorization Domains
22. Extensions of Fields
23. Constructions with Straightedge and Compass
24. Normal and Separable Extensions
25. Galois Theory
26. Solvability

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