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abstract algebra, 2nd edition, william paulsen [pdf]

Abstract algebra. An Interactive Approach (2E) by William Paulsen


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About this book :-
Abstract algebra. An Interactive Approach (2E) written by William Paulsen .
This textbook introduces a new approach to teaching an introductory course in abstract algebra. This text can be used for either an undergraduate-level course, or a graduate-level sequence. The undergraduate students would only cover the the basic material on groups and rings given in Chapters 0–4 and 9–12.

Book Detail :-
Title: Abstract algebra. An Interactive Approach
Edition: Second Edition
Author(s): William Paulsen
Publisher: CRC Press
Series: Textbooks in mathematics
Year: 2016
Pages: 410
Type: PDF
Language: Englsih
ISBN: 978-1-4987-1977-3,1498719775,9781498719780,1498719783
Country: US
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About Author :-
The author William Paulsen , Arkansas State University, Jonesboro, Arkansas, USA.

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Book Contents :-
Abstract algebra. An Interactive Approach (2E) written by William Paulsen . cover the following topics.

0. Elementary set theory and methods of proof
1. Number and polynomials
2. Binary relations and binary operations
3. Introduction to rings
4. Factor rings and fields
5. Basic group theory
6. Structure theorems of group theory
7. A brief excursion into Galois theory

0. Preliminaries
1. Understanding the Group Concept
2. The Structure within a Group
3. Patterns within the Cosets of Groups
4. Mappings between Groups
5. Permutation Groups
6. Building Larger Groups from Smaller Groups
7. The Search for Normal Subgroups
8. Solvable and Insoluble Groups
9. Introduction to Rings
10. The Structure within Rings
11. Integral Domains and Fields
12. Unique Factorization
13. Finite Division Rings
14. The Theory of Fields
15. Galois Theory
Appendix Sage vs. Mathematica R
Answers to Odd-Numbered Problems
Bibliography
Index


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