Umfang:
Online-Ressource (313 p)
ISBN:
9780691124889
Serie:
Annals of Mathematics Studies v.v. 160
Inhalt:
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 has
Anmerkung:
Description based upon print version of record
,
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;
Weitere Ausg.:
ISBN 9781400835539
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Dynamics in One Complex Variable. (AM-160) Third Edition. (AM-160)
Sprache:
Englisch
Schlagwort(e):
Electronic books