Iteration of Rational Functions by Alan F Beardon

Iteration of Rational Functions by Alan F Beardon

This book makes available a comprehensive, detailed, and organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The material covered extends from the original memoirs of Fatou and Julia to the recent and important results and methods of Sullivan and Shishikura. Many of the details of the proofs have not occurred in print before. The theory of of dynamical systems and chaos has recently undergone a rapid growth in popularity, in part due to the spectacular computer graphics of Julia sets, fractals, and the Mandelbrot set. This text focuses on the specialized area of complex analytic dynamics, a subject that dates back to 1916 and is currently a very active area in mathematics.

AF. Beardon

Iteration of Rational Functions

Complex Analytic Dynamical Systems

"This book makes available a comprehensive, detailed, and organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The material covered extends from the original memoirs of Fatou and Julia to the recent and important results and methods of Sullivan and Shishikura. Many of the details of the proofs have not occurred in print before."—ZENTRALBLATT MATH

Beardon, Alan F.: - Alan F. Beardon studied at the University of London and Harvard University, and obtained his PhD from Imperial College London in 1964. He taught at the University of Maryland and the University of Kent before moving to the University of Cambridge in 1968, where he is now an Emeritus Professor. He is the author of six mathematical texts and numerous research papers.

SKU	Nicht verfügbar
ISBN 13	9780387951515
ISBN 10	0387951512
Titel	Iteration of Rational Functions
Autor	Alan F Beardon
Serie	Graduate Texts In Mathematics
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Springer-Verlag New York Inc.
Erscheinungsjahr	2000-09-27
Seitenanzahl	280
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar