Iteration of Rational Functions: Complex Analytic Dynamical Systems-电子书百科大全

Iteration of Rational Functions: Complex Analytic Dynamical Systems book cover

Iteration of Rational Functions: Complex Analytic Dynamical Systems

Author(s): Alan F. Beardon (Author)

Publisher: Springer/Sci-Tech/Trade
Publication Date: Sept. 27 2000
Edition: Illustrated
Language: English
Print length: 280 pages
ISBN-10: 0387951512
ISBN-13: 9780387951515

Book Description

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.

Editorial Reviews

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

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