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Graduate Texts in Mathematics #132: Iteration of Rational Functions: Complex Analytic Dynamical Systems

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Graduate Texts in Mathematics #132: Iteration of Rational Functions: Complex Analytic Dynamical Systems Cover

 

Synopses & Reviews

Publisher Comments:

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.

Table of Contents

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.

Product Details

ISBN:
9780387951515
Other:
Beardon, A. F.
Publisher:
Springer
Author:
Beardon, A. F.
Author:
Beardon, Alan F.
Location:
New York, NY
Subject:
General
Subject:
Mathematical Analysis
Subject:
Analysis
Subject:
Mathematics-Analysis General
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Copyright:
Edition Description:
1st ed. 1991. 1st softcover printing
Series:
Graduate Texts in Mathematics
Series Volume:
39
Publication Date:
20000927
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
296
Dimensions:
235 x 155 mm 940 gr

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Graduate Texts in Mathematics #132: Iteration of Rational Functions: Complex Analytic Dynamical Systems New Trade Paper
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