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Princeton University Press Dynamics in One Complex Variable. (AM-160): Third Edition (Annals of Mathematics Studies, 160)

Name: Dynamics in One Complex Variable. (AM-160): Third Edition (Annals of Mathematics Studies, 160)
Brand: Princeton University Press

Complex Analysis

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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.

Product Specifications

Brand: Princeton University Press
Format: paperback
ASIN: 0691124884
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Complex Analysis
Domain: Amazon UK
Publication Date: 22 January 2006
Listed Since: 02 February 2007

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Princeton University Press Dynamics in One Complex Variable. (AM-160): Third Edition (Annals of Mathematics Studies, 160)

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