| Dynamics in One Complex Variable. (Am-160): (Am-160) - Third Edition Contributor(s): Milnor, John (Author) |
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ISBN: 0691124884 ISBN-13: 9780691124889 Publisher: Princeton University Press OUR PRICE: $90.25 Product Type: Paperback - Other Formats Published: January 2006 Annotation: 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 Latt's map has been made more inclusive, and the ?calle-Voronin theory of parabolic points is described. The r?sidu it?ratif 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus |
| Dewey: 515.93 |
| LCCN: 2005051060 |
| Series: Annals of Mathematics Studies (Paperback) |
| Physical Information: 0.7" H x 7.08" W x 10" (1.23 lbs) 320 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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 Latt s map has been made more inclusive, and the calle-Voronin theory of parabolic points is described. The r sidu it ratif 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. |