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	Unavailable
ISBN 13	9780387951515
ISBN 10	0387951512
Title	Iteration of Rational Functions
Author	Alan F Beardon
Series	Graduate Texts In Mathematics
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer-Verlag New York Inc.
Year published	2000-09-27
Number of pages	280
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable