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 focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest. The text provides a comprehensive, well-organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The coverage extends from early memoirs of Fatou and Julia to important recent results and methods of Sullivan and Shishikura. Many details of the proofs have not appeared in print before.

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