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	Non disponible
ISBN 13	9780387951515
ISBN 10	0387951512
Titre	Iteration of Rational Functions
Auteur	Alan F Beardon
Série	Graduate Texts In Mathematics
État	Non disponible
Type de reliure	Paperback
Éditeur	Springer-Verlag New York Inc.
Année de publication	2000-09-27
Nombre de pages	280
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible