Dynamics in One Complex Variable. (AM-160): (AM-160) - Third Edition

John Milnor

ISBN 10: 0691124884 / ISBN 13: 9780691124889

Edité par Princeton University Press, 2006

A propos de cet article

Helps you study 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 title introduces some key ideas in the field, and to form a basis for further study. Series: Annals of Mathematics Studies. Num Pages: 320 pages, 45 line illus. BIC Classification: PBKD. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 254 x 179 x 17. Weight in Grams: 604. . 2006. Third. Paperback. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9780691124889

Détails bibliographiques

Titre : Dynamics in One Complex Variable. (AM-160): ...

Éditeur : Princeton University Press

Date d'édition : 2006

Reliure : Couverture souple

Etat : New

Edition : 3ème Édition

A propos de ce titre

Synopsis :

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.

À propos de l?auteur:

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).