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Dynamics in one complex variable

Author: John Milnor
Publisher: Princeton : Princeton University Press, 2011.
Series: Annals of Mathematics Studies.
Edition/Format:   eBook : Document : English : 3rd edView all editions and formats
Summary:
This volume 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. This subject is large and rapidly growing. These lectures are intended to introduce 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  Read more...
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Genre/Form: Electronic books
Material Type: Document
Document Type: Book, Computer File
All Authors / Contributors: John Milnor
ISBN: 1283001489 9781283001489 9786613001481 6613001481 1400835534 9781400835539
OCLC Number: 1010521639
Language Note: English.
Description: 1 online resource (313 p.).
Contents: Cover; Title; Copyright; Table of Contents; List of Figures; Preface to the Third Edition; Chronological Table; Riemann Surfaces; Iterated Holomorphic Maps; Local Fixed Point Theory; Periodic Points: Global Theory; Structure of the Fatou Set; Using the Fatou Set to Study the Julia Set; Appendices; References; Index.
Series Title: Annals of Mathematics Studies.
Other Titles: Annals of mathematics studies
Responsibility: John Milnor.

Abstract:

This volume 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. This subject is large and rapidly growing. These lectures are intended to introduce 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. This third edition contains a number of minor additions and improvements: A historical survey ha.

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