Mathematics-Dynamical Systems

Iteration of rational functions

US$5.00 US$36.00

Title (user) : Iteration of rational functionsTitle (google) : Iteration of Rational Functions Complex Analytic Dynamical SystemsISBN : 0387951512,9780387951515GoogleBook ID : wAhFqe0AWRQCOpenLibrary ID : OL7448751MEdition : First Paperback EditionSeries : Graduate Texts...
Description

Title (user) : Iteration of rational functions

Title (google) : Iteration of Rational Functions Complex Analytic Dynamical Systems

ISBN : 0387951512,9780387951515

GoogleBook ID : wAhFqe0AWRQC

OpenLibrary ID : OL7448751M

Edition : First Paperback Edition

Series : Graduate Texts in Mathematics

Authors (user) : Alan F. Beardon

Authors (google) : Alan F. Beardon

Publisher : Springer

Language : English

Publication Date : 2000

Scanned : yes (300 DPI)

File Format : djvu

Categories : Mathematics


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Description (user) :
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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