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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
** Publisher: **
** Series: **
** 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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