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Iteration of Rational Functions: Complex Analytic Dynamical Systems (Graduate Texts in Mathematics) - Hardcover
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.
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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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- PublisherSpringer
- Publication date1991
- ISBN 10 0387975896
- ISBN 13 9780387975894
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages280
- Rating
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