Iteration of Rational Functions (Paperback)

Alan F. Beardon

ISBN 10: 0387951512 / ISBN 13: 9780387951515

Published by Springer-Verlag New York Inc., New York, NY, 2000

Paperback. 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. This is a presentation of the foundations of dynamical systems and complex analysis, written with an emphasis on clarity, elegance, and detail. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780387951515

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.

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

Bibliographic Details

Title: Iteration of Rational Functions (Paperback)
Publisher: Springer-Verlag New York Inc., New York, NY
Publication Date: 2000
Binding: Paperback
Condition: new