| About The Book Complex Analysis
Primarily intended for the undergraduate students of engineering and postgraduate students of mathematics, this textbook is aimed to provide an introduction to the theories for functions of a complex variable. No specific prerequisite except basic calculus and familiarity with differential equations is required to understand this textbook.
In this book, author tried his best to preset all related formula with few standard examples worked out according to the derived formula to make the book precise. The notations used in this textbook are commonly used by mathematicians. Considerable use has been made of illustrations to stimulate the students’ visual understanding of complex variables.
The objective of this book is to:
introduce students to the complex number system
equip students with necessary knowledge and skills to enable them handle problems involving complex numbers
help students apply techniques of complex analysis to summation of series
A careful and judicious selection of examples has made it simple and lucid for classroom instruction. Some standard problems with sufficient hints have been included at the end of each section to gauge the students’ understanding and grasp of the theory. Thus, this book will fulfill the requirement for an accessible textbook suitable for courses all over the universities in India.
Table of Contents:
Chapter 1: Complex Number System
Chapter 2: Limit, Continuity and Derivative
Chapter 3: Analytic Function
Chapter 4: Conformal Mapping
Chapter 5: Integration
Chapter 6: Cauchy’s Formula
Chapter 7: Power Series
Chapter 8: Residue Theorem
Chapter 9: Contour Integration
Chapter 10: Maximum Modulus Theorem