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The present book R.P. Unified Abstract Algebra & Linear Algebra has been designed strictly in accordance with the syllabus prepared by Central Board o .... Read More
The present book R.P. Unified Abstract Algebra & Linear Algebra has been designed strictly in accordance with the syllabus prepared by Central Board of Studies, Department of Higher Education, Govt, of M.P. for B.Sc. Mathematics Ilnd year students as per the National Education Policy.
| Sr | Chapter Name | No Of Page |
|---|---|---|
| 1 | 1. A brief historical background of the Algebra in the context of India and Indian Heritage and Culture, A brief biography of Brahmagupta | 12 |
| 2 | 2. Groups | 60 |
| 3 | 3. Subgroups | 16 |
| 4 | 4. Cyclic Groups | 13 |
| 5 | 5. Cosets and Cosets Decomposition | 21 |
| 6 | 6. Normal Subgroups | 11 |
| 7 | 7. Quotient Groups | 6 |
| 8 | 8. Homomorphism and Isomorphism of Groups | 18 |
| 9 | 9- Permutation Groups | 34 |
| 10 | 10. Group Theory-I | 22 |
| 11 | 11. Definition of Rings and Basic Properties | 44 |
| 12 | 12. Polynomial Ring | 11 |
| 13 | 13. Integral Domain | 8 |
| 14 | 14. Field | 19 |
| 15 | 15. Vector Spaces | 58 |
| 16 | 16. Bases and Dimensions of Vector Spaces | 32 |
| 17 | 17. Linear Transformations and thier Representation as Matrices | 41 |
| 18 | 18. The Algebra of Linear Transformation, the Rank Nullity Theorem and Change of Basis | 34 |
| 19 | 19. Linear Functional, Dual Space and Adjoint of Linear Transformation | 16 |
| 20 | 20. Eigen Values and Eigen Vectors of a Linear Map and Diagonalization | 16 |
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