Dynamics in One Complex Variable. (AM-160)

(AM-160) - Third Edition

By:

John Milnor

Format:

Paperback / softback

Series:

Annals of Mathematics Studies

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Description

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 Lattes map has been made more inclusive, and the ecalle-Voronin theory of parabolic points is described. The residu iteratif 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.

Author Biography:

John Milnor is Professor of Mathematics and Co-Director of the Institute for Mathematical Sciences at SUNY, Stony Brook. He is the author of "Topology from the Differential Viewpoint, Singular Points of Complex Hypersurfaces, Morse Theory, Introduction to Algebraic K-Theory, Characteristic Classes" (with James Stasheff), and "Lectures on the H-Cobordism Theorem" (Princeton).

Release date Australia

January 22nd, 2006

Author

John Milnor

Audiences

Professional & Vocational
Tertiary Education (US: College)

Edition

3rd Revised edition

Illustrations

45 line illus.

Pages

320

Series

Annals of Mathematics Studies

Dimensions

152x229x16

ISBN-13

9780691124889

Product ID

2423760

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