The Iteration of Rational Functions: Complex Analytical Dynamical Systems: Vol 132 (Graduate Texts in Mathematics) - Hardcover

Beardon, A.F.

Hardcover

ISBN 10: 3540975896 ISBN 13: 9783540975892

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1991

Synopsis

This text offers a detailed treatment of the basic principles underpinning the theory of iteration of rational functions of a complex variable. The theory ranges from the original memoirs of Fatou and Julia to recent major results and methods from Sullivan and Shishikura, with some of these theories appearing in print for the first time. Some of the more recent theories have been informed by work done on the spectacular computer graphics of Julia sets, fractals and the Mandelbrot set. The text focuses on the specialized area of complex analytic dynamics.

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 Berlin and Heidelberg GmbH & Co. K
• Publication date: 1991
• Language: English
• ISBN 10: 3540975896
• ISBN 13: 9783540975892
• Binding: Hardcover
• Number of pages: 280