图书基本信息
Iteration of Rational Functions: Complex Analytic Dynamical Systems
作者: Alan F. Beardon;
ISBN13: 9780387951515
类型: 平装(简装书)
语种: 英语(English)
出版日期: 2000-09-27
出版社: Springer
页数: 280
重量(克): 421
尺寸: 23.3934 x 15.5956 x 1.6002 cm
商品简介
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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