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Mathematics For B.Sc. Students: Semester V: Paper 1 | Group and Ring Theory | Linear Algebra - NEP 2020 For the Universities of Uttar Pradesh

Mathematics For B.Sc. Students: Semester V: Paper 1 | Group and Ring Theory | Linear Algebra - NEP 2020 For the Universities of Uttar Pradesh

Author : H K Dass, Rajnish Verma & Rama Verma

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  • ISBN : 9789355018588
  • Pages : 312
  • Binding : Paperback
  • Language : English
  • Imprint : S Chand Publishing
  • © year : 2023
  • Size : 6.50*9.25

Price : 325.00 260.00

Quantity : - +

This textbook has been specifically developed as per latest curriculum on the directives of NEP 2020 - For the Universities of Uttar Pradesh for B.Sc. Students of Mathematics for the Fifth Semester. To possess an in-depth knowledge of the subjects, topics such as Automorphism, Conjugacy Classes and p-groups, The Sylow Theorems and Applications, Finite Simple Groups, Rings of Polynomials, Divisibility in Integral Domains, Vector Spaces and Subspaces, Linear Transformations, Rank and Nullity, Cayley Hamilton Theorem, Inner Product Spaces and Norms, Bilinear and Quadratic Forms etc. are well explained are explained thoroughly and followed by numerous examples and practice exercises. Questions from Universities Latest Examination papers are included at the end for smart revision and practice.

  • Very lucid and logical presentation of concepts, for easy and quick understanding.
  • Close to 300 solved examples for better understanding of almost every Article or topic is included. 
  • Close to 300 practice exercise questions from various University examination papers are also compiled

Part A: Group and Ring Theory 
Unit I
1. Indian Ancient Mathematics and Mathematicians
2. Automorphism
 
Unit II
3. Conjugacy Classes and p-groups
4. The Sylow Theorems and Applications
5. Finite Simple Groups
6. Generalized Cayley's, Index, Embedding Theorems and Applications
 
Unit III
7. Rings of Polynomials
8. Factorisation of Polynomials
 
Unit IV
9. Divisibility in Integral Domains
10. Unique Factorization Domain  
 
Part B: Linear Algebra 
Unit V
11. Vector Spaces
12. Subspaces
13. Linear Independence and Dependence of Vectors
14. Basis and Dimension
 
Unit VI
15. Linear Transformations
16. Rank and Nullity
 
Unit VII
17. Linear Functional, Dual Space and Characteristic Values
18. Cayley Hamilton Theorem
 
Unit VII
19. Inner Product Spaces and Norms
20. Bilinear and Quadratic Forms
 
Previous Years Universities Examination Questions Group, Ring and Linear Algebra

This textbook has been specifically developed as per latest curriculum on the directives of NEP 2020 - For the Universities of Uttar Pradesh for B.Sc. Students of Mathematics for the Fifth Semester.

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