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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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** • Download PDF Abstract algebra. An Interactive Approach (2E) by William Paulsen **

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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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Divison related shortcut Tricks

- Divisible by 2 Shortcut trick
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- Divisible by 5 Shortcut trick
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- Divisible by 8 Shortcut trick
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Prime Number related shortcut Tricks

- Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?
- Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?
- Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?