Iteration of Rational Functions: Complex Analytic Dynamical Systems
by Alan F. Beardon
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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 show more 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. show lessTags
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Alan F. Beardon studied at London University and Harvard University, and obtained his Ph.D. from Imperial College, London in 1964. He taught at the University of Maryland (USA) and the University of Kent (UK) before to the University of Cambridge in 1968. He is the author of six mathematical texts and numerous research papers.
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- Iteration of Rational Functions: Complex Analytic Dynamical Systems
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