Abstract Algebra by Dr Kulbhushan Prakash And Parmanand Gupta

The book provides a suitable course of study in Abstract Algebra for various Universities. It will also be found useful by students preparing for the various Engineering and Public Service Examinations.

CONTENTS:
SECTION I
1. Preliminaries
2. Groups and Normal Subgroups
3. Group Automorphisms
4. Sylow's Theorems
5. Structure Theorem for Finite Abelian Groups

SECTION II
6. Rings
7. Ideals and Quotient Rings
8. Euclidean Rings
9. Polynomial Rings

SECTION III
10. Vector Spaces
11. Linear Transformations
12. Linear Transformations (Continued)
13. Bilinear, Quadratic and Hermitian Forms

SECTION IV
14. Inner Product Spaces
15. Orthogonal Complement
16. Modules and Submodules
Examination Papers