
Iteration of Rational Functions
Complex Analytic Dynamical Systems
Alan F. Beardon(Author)
Springer (Publisher)
1st Edition
Published on 1. October 1991
Book
Hardback
296 pages
978-0-387-97589-4 (ISBN)
Description
This book focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest. The text provides a comprehensive, well-organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The coverage extends from early memoirs of Fatou and Julia to important recent results and methods of Sullivan and Shishikura. Many details of the proofs have not appeared in print before.
More details
Language
English
Place of publication
New York, NY
United States
Target group
Professional and scholarly
Graduate
Illustrations
1 s/w Abbildung
1 black & white illustrations, biography
Dimensions
Height: 235 mm
Width: 155 mm
Weight
590 gr
ISBN-13
978-0-387-97589-4 (9780387975894)
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Schweitzer Classification
Other editions
Additional editions

Book
09/2000
Springer
€85.59
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Person
Content
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.