FUNDAMENTALS OF MATHEMATICAL ANALYSIS

Fundamentals of Mathematical Analysis Book Description This book presents classical results in the background of the present structural setting, giving motivation for ideas introduced in the text, thus, making the text more relevant to the present day needs. An attempt has been made to convey the most difficult ideas from the most common and natural notions, without diluting the standard. The main thrust of the book is on completeness, convergence, limit and continuity, differentiation and integration.The book contains a large number of illustrative examples and exercises with answers. It is ideally suited as a textbook for a first course on mathematical analysis either at the undergraduate or postgraduate level.

Table of Contents: 

1. Set and Functions

2. Numbers : Real and Complex 

3. Cardinality of Sets and One-to-One Correspondence 

4. Convergence of Sequence and Series 

5. Analytical (Metric) Properties of R and C 

6. Limit and Continuity 

7. Differentiation 

8. Riemann Integration 

9. Sequences and Series of Functions