Iteration of Rational Functions
Iteration of Rational Functions
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DOI：
10.1007/978-1-4612-4422-6
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发表时间：
1991
影响因子：
0.5
通讯作者：
R. Devaney;A. Beardon
中科院分区：
文献类型：
--
作者：
R. Devaney;A. Beardon
这本书提供了一个全面的，详细的，和有组织的治疗的基础理论迭代的合理职能的一个复杂的变量。所涵盖的材料从原来的回忆录法图和朱莉娅最近和重要的成果和方法沙利文和志仓。许多细节的证据没有出现在印刷之前。动力系统和混沌的理论最近经历了一个快速增长的普及，部分原因是壮观的计算机图形的朱莉娅集，分形，和曼德尔布罗特集。本文侧重于复分析动力学的专业领域，这一主题可以追溯到1916年，目前是一个非常活跃的数学领域。
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.