Dynamics in One Complex Variable

Introductory Lectures

Paperback Engels 2000 2e druk 9783528131302
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Samenvatting

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.

Specificaties

ISBN13:9783528131302
Taal:Engels
Bindwijze:paperback
Aantal pagina's:257
Druk:2

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Inhoudsopgave

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

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€ 79,49
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        Dynamics in One Complex Variable