Iteration of Rational Functions: Complex Analytic Dynamical Systems
基本信息·出版社：Springer ·页码：191 页 ·出版日期：2000年09月 ·ISBN：0387951512 ·International Standard Book Number：0387951512 ·条形码： ...
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基本信息·出版社：Springer
·页码：191 页
·出版日期：2000年09月
·ISBN：0387951512
·International Standard Book Number：0387951512
·条形码：9780387951515
·EAN：9780387951515
·装帧：平装
·正文语种：英语
·丛书名：Graduate Texts in Mathematics
内容简介 Presents a comprehensive, detailed, and organized treatment of the foundations of a complex variable. Covers everything from the foundational work fo Fatou and Julia, to the most recent results, such as those of Sullivan and Shishikura. Softcover. DLC: Iterative Methods (Mathematics).
媒体推荐 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
目录 Examples.- Rational Maps.- The Fatou and Julia Sets.- Properties of the Julia Set.- The Structure of the Fatou Set.- Periodic Points.- Forward Invariant Components.- The No Wandering Domains Theorem.- Critical Points.- Hausdorff Dimension.- Examples.- References.
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