Complex analysis
Subtitle: an invitation
By: Murali Rao, University of Florida, USA, Henrik Stetkaer, Aarhus University, Denmark, Soren Fournais, Aarhus University, Denmark, Jacob Schach Moller, Aarhus University, Denmark
Contributors: Stetkær, Henrik; Fournais, Søren; Møller, Jacob S.
Edition: 2nd edition.
Publisher: World Scientific
Published: 2015
Place of publication: Hackensack,] New Jersey
Language: eng
Number of pages: 414
ISBN-13: 9789814579582; 9789814579599
Copyright date: 2015
Subjects: Functions of complex variables
Description: The volume is an enlarged edition of a classic textbook on complex analysis. It bridges the gap between the classical material of the first edition and recent advances in half-plane Loewner theory, thus providing the complex analysis backbone of Loewner theory. The added material found in this edition gives a concise and accessible treatment of Loewner theory. Some of it has been described in research papers only or appears here for the first time. Each chapter ends with exercises. --Provided by publisher.
Notes: Includes bibliographical references (pages 401-407) and index.
Table of contents: title: The residue theorem; title: Picard's two theorems; title: The Riemann mapping theorem; title: Runge's approximation theorems; title: The prime number theorem; title: Harmonic and subharmonic functions; title: Poisson's formula; title: Jordan's curve theorem; title: Caratheodory's extension theorem; title: Compact hulls, half-plane hulls and their capacities; title: Caratheodory's convergence theorems; title: Loewner theory in the disc and in the half-plane.