Complex Analysis: An Invitation (2nd Edition)
2nd Edition
Published on 26. March 2015
Book
Hardback
424 pages
978-981-4579-58-2 (ISBN)
Description
This volume is an enlarged edition of a classic textbook on complex analysis. In addition to the classical material of the first edition it provides a concise and accessible treatment of Loewner theory, both in the disc and in the half-plane. Some of the new material has been described in research papers only or appears here for the first time. Each chapter ends with exercises.
More details
Edition
2nd edition
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 27 mm
Weight
764 gr
ISBN-13
978-981-4579-58-2 (9789814579582)
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Schweitzer Classification
Persons
Dr. Murali Rao is the Professor and Chairman of the Department of Psychiatry and Behavioral Neurosciences at Loyola University Medical Center in Chicago. He specializes in liaison and emergency psychiatry. Additionally, he serves as a member of multiple professional bodies including the American College of Psychiatrists, the Academy of Psychosomatic Medicine, CINP, the Indian Psychiatric Society, and the American College of forensic Psychiatry. Dr. Rao has received multiple awards and fellowships including Distinguished Life Fellow by the APA, Outstanding Academician Award by the Indo-American Psychiatric Association, and the Master Teacher Award by the Stritch School of Medicine. Dr. Rao has also had more than 50 journal publications.
Content
The Residue Theorem; Picard's Two Theorems; The Riemann Mapping Theorem; Runge's Approximation Theorems; The Prime Number Theorem; Harmonic and Subharmonic Functions; Poisson's Formula; Jordan's Curve Theorem; Caratheodory's Extension Theorem; Compact Hulls, Half-plane Hulls and their Capacities; Caratheodory's Convergence Theorems; Loewner Theory in the Disc and in the Half-plane.