Complex Analysis

Complex Analysis

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Book Summary:

This book provides a logical development of the subject from its elementary root. The book is meant for the undergraduate students of Mathematics, Physics and Engineering. Complex Analysis is a subject developed from an imaginary number but it is beautifully applied in many Engineering disciplines. The book is an introductory treatise.

However, it does not suffer from lack of rigour. Our aim is to provide the reader an elementary, thorough and systematic introduction of the subject. In doing so, a stress is made on important basic ideas.

For example, the idea of the complex infinity is brought out through the Stereo graphic Projection and also through the mapping w = 1 / z in a lucid manner. This presentation enhances the understanding of the physical meaning of the complex infinity and its neighbourhood.

Audience of the Book :

 

This book Useful for undergraduate students of Mathematics.

 

Table of Contents:

1. Complex Number System 

2. Complex Plane 

3. Sets Of Complex Points

4. Analytic Functions

5. Sequences And Series

6. Power Series And Elementary Functions 

7. Elementary And Con formal Mappings

8. Complex Integration

9. Taylor’S And Laurent’S Series

10. Residues

11. Meromorphic Functions