Complex Variables And Special Functions

Complex Variables And Special Functions

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Product Specifications

Publisher PHI Learning All Engineering Mathematics books by PHI Learning
ISBN 9788120348578
Author: Patra Baidyanath
Number of Pages 584
Available in all digital devices
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Complex Variables And Special Functions - Page 1 Complex Variables And Special Functions - Page 2 Complex Variables And Special Functions - Page 3 Complex Variables And Special Functions - Page 4 Complex Variables And Special Functions - Page 5

About The Book Complex Variables And Special Functions

Book Summary:

Authors aim is to make the readers easily understand the theory of complex variables. He explains this subject matter from a rudimentary to advanced level in a very simple manner.

Organized in two parts, this book explains exact definitions of different terms used by supplying worked-out examples wherever found necessary. A large number of examples have been solved in the book to acquaint the readers with different techniques. Furthermore, a large number of problems have been supplied with answers at the end of each chapter.

The first part of the book (Chapters 1 through 11) containing analysis of complex variables will be useful for the undergraduate students of engineering and science.
The second part of the book (Chapters 12 through 20) is written in complex domain and is targeted towards advanced level readers who are either pursuing postgraduate studies in Mathematics or research in Applied Mathematics. The first part is prerequisite for this section of the book.

Table of Contents:


1. Complex Numbers

2. Complex Variables and Regions of Complex Plane

3. Continuity

4. Derivative

5. Elementary and Multivalued Functions

6. Integrals

7. Complex Sequence and Series

8. Zeros, Singularities and Residues

9. Application of Residues

10. Meromorphic Functions and Some Special Topics

11. Mapping or Transformation

12. The Gamma Function and Related Functions

13. Homogeneous Linear Ordinary Differential Equation

14. Fuchsian Type of ODE

15. The Hypergeometric Equation

16. Legendre Equation

17. Bessel Functions

18. Hermite Functions and Polynomials

19. Laguerre Polynomials

20. Chebyshev Polynomials