Dynamics in One Complex Variable

Introductory Lectures
2.Auflage 2000
ISBN: 978-3-528-13130-2
Verlag: Vieweg & Teubner

Buch, Englisch, 257 Seiten, Book, Format (B × H): 155 mm x 235 mm, Gewicht: 460 g

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.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Milnor, John

Inhaltsverzeichnis

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

Über Autor(innen)

Professor John Milnor ist am Mathematics Department/Institute for Mathematical Sciences der State University of New York at Stony Brook, USA..