Dr. Rajendra Kumar Sharma is a Professor and Head of Department of Mathematics at Indian Institute of Technology Delhi. He has been teaching undergraduate and postgraduate students for more than 20 years.

Dr. Sudesh Kumari Shah is Associate Professor in Department of Mathematics at Sri Venkteshwra College, University of Delhi. She has been teaching the undergraduate and postgraduate students of Delhi University of more than 30 years.

Dr Asha Gauri Shankar is Associate Professor in Department of Mathematics at Lakshmibai College, University of Delhi. She has received Shiksha Ratan Puraskar by India International Friendship Society.

1. Sets & Relations
   
2. Binary Operations
   
3. Function
   
4. Number system
   
5. Group
   
6. Group, properties and characteristics
   
7. Subgroup
   
8. Cyclic Subgroup
   
9. Rings
   
10. System of Linear Equations
    
11. Matrices
    
12. Matrices & Linear Transformations
    
13. Vector Space
    
14. Basis & Dimensions
    
15. Linear Transformations
    
16. Change of Basis
    
17. Eigen Value & Eigen Vector
    
18. Markov Process

Appendices

Index

• Learning Objectives
  
• Chapter end summary for quick revision
  
• Geometric interpretation of the concept
  
• Answer to exercise
  
• Hints to difficult problems