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Algebra I, Basic Course of Abstract Algebra by Rajendra Kumar Sharma, Sudesh Kumari Shah, Asha Gauri Shankar
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**About this book :- **
**Algebra I, Basic Course of Abstract Algebra ** written by
** Rajendra Kumar Sharma, Sudesh Kumari Shah, Asha Gauri Shankar **

There are two schools of thought, one a particular topic be chosen and taught at an advanced level, the other topics be chosen and firt taught at the introductory level and then at the advanced level. Each has its own advantages and disadvantages.

For the student coming to study a course on algebra for the first time, this book presents all the basic materials in one place and gives an opportunity to begin understanding the topics in a most easy and comfortable way. The presentatino of the text in lucid. A large number of examples are used to explain the concepts.

**Book Detail :- **
** Title: ** Algebra I, Basic Course of Abstract Algebra
** Edition: **
** Author(s): ** Rajendra Kumar Sharma, Sudesh Kumari Shah, Asha Gauri Shankar
** Publisher: ** Addison-Wesley
** Series: **
** Year: ** 2012
** Pages: ** 765
** Type: ** Read Online
** Language: ** English
** ISBN: ** 978-81-317-6086-04
** Country: ** India

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**About Author :- **

Author ** Rajendra Kumar Sharma ** , Indian Institute of Technology, Delhi

Author ** Sudesh Kumari Shah **, Sri Venkateswara College, University of Delhi

Author ** Asha Gauri Shankar **, Lakshmibai College, University of Delhi

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**Book Contents :- **
**Algebra I, Basic Course of Abstract Algebra ** written by
** Rajendra Kumar Sharma, Sudesh Kumari Shah, Asha Gauri Shankar **
cover the following topics.

1. Set and Relations

2. Binary Operations

3. Functions

4. Number System

5. Group Definetion and Example

6. Group Properties and Charaterization

7. Subgroups

8. Cyclic Groups

9. Rings

10. System of Linear Equations

11. Matrices

12. Matrices and Linear Transformations

13. Vector Space

14. Basis and Dimension

15. Linear Transformation

16. Change of Bases

17. Eigenvectors and Eigenvalues

18. Markov Process

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