Iteration of Rational Functions (Graduate Texts in Mathematics) - Hardcover

Alan F. Beardon

Hardcover

ISBN 10: 3540975896 ISBN 13: 9783540975892

Publisher: Springer-Verlag, 1991

Synopsis

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.

About this title

Review

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

Edition details

• Publisher: Springer-Verlag
• Publication date: 1991
• ISBN 10: 3540975896
• ISBN 13: 9783540975892
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 280