COMPLEX ANALYSIS IN ONE VARIABLE, 2ND EDITION

Book Details

• Author: Raghavan Narasimhan

• Publisher: McGraw-Hill Education

• Binding: Paperback

• Number of Pages: 342

• Release Date: 01-12-2004

• ISBN: 9788181280237

• Package Dimensions: 10.1 x 8.2 x 1.0 inches

• Languages: English

About The Book
Complex Analysis in One Variable by Raghavan Narasimhan provides a comprehensive and modern introduction to the theory of complex analysis. This book uniquely presents complex analysis in a broader mathematical context, linking it to various areas such as several complex variables, de Rham theory, real analysis, and more. Narasimhan employs cutting-edge techniques from contemporary mathematics, making this book a valuable resource for both students and professionals.

The text uses covering spaces to approach fundamental topics like Cauchy's theorem and applies real variable methods to discuss important results such as the Loman-Menchoff theorem and the corona theorem. Furthermore, the algebraic structure of the ring of holomorphic functions is explored, providing a deeper understanding of the subject.

Designed for advanced students in mathematics, this book helps bridge the gap between complex analysis and other mathematical fields. The clarity and depth of explanations, along with numerous examples and exercises, make it an essential read for those seeking a modern and thorough understanding of complex analysis.