Iteration of Rational Functions: Complex Analytic Dynamical Systems (Graduate Texts in Mathematics) - Hardcover
Synopsis
This book focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest. The text provides a comprehensive, well-organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The coverage extends from early memoirs of Fatou and Julia to important recent results and methods of Sullivan and Shishikura. Many details of the proofs have not appeared in print before.
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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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Iteration of Rational Functions: Complex Analytic Dynamical Systems (Graduate Texts in Mathematics)
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Iteration of Rational Functions
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Springer-Verlag New York Inc., 1991
ISBN 10: 0387975896
ISBN 13: 9780387975894
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