Studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. ; 6 3/4 x 9 1/4 "; 257 pages.

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Bibliographic Details

Title: Dynamics in One Complex Variable Introductory Lectures
Publisher: Friedr. Vieweg & Sohn, Braunschweig/wiesbaden
Publication Date: 1999
Language: English
ISBN 10: 3528031301
ISBN 13: 9783528031305
Binding: Paperback
Condition: As New with no dust jacket

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Synopsis

This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. The subject is large and rapidly growing. These notes are intended to introduce the reader to some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology.

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