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Iteration of Rational Functions : Complex Analytic Dynamical Systems :  Complex Analytic Dynamical Systems - Alan F. Beardon

Iteration of Rational Functions : Complex Analytic Dynamical Systems

Complex Analytic Dynamical Systems

Paperback Published: September 2000
ISBN: 9780387951515
Number Of Pages: 280

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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.

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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

Examples
Rational Maps
The Fatou and Julia Sets
Properties of the Julia Set
The Structure of the Fatou Set
Periodic Points
Forward Invariant Components
The No Wandering Domains Theorem
Critical Points
Hausdorff Dimension
Examples
References
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387951515
ISBN-10: 0387951512
Series: Graduate Texts in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 280
Published: September 2000
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.39 x 15.6  x 1.6
Weight (kg): 0.42
Edition Type: New edition

Earn 222 Qantas Points
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