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**About this book :- **
**A Book of Abstract Algebra (2E) ** written by
** Charles C. Pinter **.

This book addresses itself especially to the average student, to enable him or her to learn and understand as much algebra as possible. In scope and subject-matter coverage, it is no different from many other standard texts. It begins with the promise of demonstrating the unsolvability of the quintic and ends with that promise fulfilled. Standard topics are discussed in their usual order, and many advanced and peripheral subjects are introduced in the exercises, accompanied by ample instruction and commentary.

The first few exercise sets in each chapter contain problems which are essentially computational or manipulative. Then, there are two or three sets of simple proof-type questions, which require mainly the ability to put together definitions and results with understanding of their meaning. After that, I have endeavored to make the exercises more interesting by arranging them so that in each set a new result is proved, or new light is shed on the subject of the chapter.

As a rule, all the exercises have the same weight: very simple exercises are grouped together as parts of a single problem, and conversely, problems which require a complex argument are broken into several subproblems which the student may tackle in turn. I have selected mainly problems which have intrinsic relevance, and are not merely drill, on the premise that this is much more satisfying to the student.

**Book Detail :- **
** Title: ** A Book of Abstract Algebra
** Edition: ** Second Edition
** Author(s): ** Charles C. Pinter
** Publisher: ** Dover Publications
** Series: **
** Year: ** 2010
** Pages: ** 394
** Type: ** PDF
** Language: ** Englsih
** ISBN: ** 0486474178
** Country: ** US

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**About Author :- **

The author ** Charles Pinter ** , Professor Professor of Mathematics, Emeritus, Bucknell University, US.
His interest is the specific problems involved in modeling structures arising in neuroscience.
He is interested in perceptual mechanisms and especially the process of perceptual learning.
He has worked on the theoretical aspects of training neural networks

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** • Download PDF A Book of Abstract Algebra (2E) by Charles C. Pinter **

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**Book Contents :- **
**A Book of Abstract Algebra (2E) ** written by
** Charles C. Pinter **.
cover the following topics.

1. Why Abstract Algebra?

2. Operations

3. The Definition of Groups

4. Elementary Properties of Groups

5. Subgroups

6. Functions

7. Groups of Permutations

8. Permutations of a Finite Set

9. Isomorphism

10. Order of Group Elements

11. Cyclic Groups

12. Partitions and Equivalence Relations

13. Counting Cosets

14. Homomorphisms

15. Quotient Groups

16. The Fundamental Homomorphism Theorem

17. Rings: Definitions and Elementary Properties

18. Ideals and Homomorphisms

19. Quotient Rings

20. Integral Domains

21. The Integers

22. Factoring into Primes

23. Elements of Number Theory (Optional)

24. Rings of Polynomials

25. Factoring Polynomials

26. Substitution in Polynomials

27. Extensions of Fields

28. Vector Spaces

29. Degrees of Field Extensions

30. Ruler and Compass

31. Galois Theory: Preamble

32. Galois Theory:

33. Solving Equations by Radicals

Appendix A. Review of Set Theory

Appendix B. Review of the Integers

Appendix C. Review of Mathematical Induction

Answers to Selected Exercises

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