Dynamics in One Complex Variable - Annals of Mathematics Studies

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 been added, the definition of Lattés map has been made more inclusive, and the écalle-Voronin theory of parabolic points is described. The résidu itératif is studied, and the material on two complex variables has been expanded. Recent results on effective computability have been added, and the references have been expanded and updated. Written in his usual brilliant style, the author makes difficult mathematics look easy. This book is a very accessible source for much of what has been accomplished in the field.

ISBN:	9780691124889
Publisher:	Princeton University Press
Imprint:	Princeton University Press
Published date:	22 Jan 2006
DEWEY:	515.93
DEWEY edition:	22
Language:	English
Number of pages:	288
Weight:	604g
Height:	254mm
Width:	179mm
Spine width:	17mm

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