Graduate Texts in Mathematics

Iteration of Rational Functions

Complex Analytic Dynamical Systems

Authors: Beardon, Alan F.

Buy this book

Softcover $59.95
price for USA
  • ISBN 978-0-387-95151-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

Reviews

A.F. 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


Buy this book

Softcover $59.95
price for USA
  • ISBN 978-0-387-95151-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Iteration of Rational Functions
Book Subtitle
Complex Analytic Dynamical Systems
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
132
Copyright
1991
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York, Inc.
Softcover ISBN
978-0-387-95151-5
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XVI, 280
Number of Illustrations and Tables
1 b/w illustrations
Topics