Mathematical Tools for One-Dimensional Dynamics by Edson de FariaMathematical Tools for One-Dimensional Dynamics by Edson de Faria

Mathematical Tools for One-Dimensional Dynamics

byEdson de Faria, Welington de Melo

Hardcover | November 10, 2008

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Detailing the very latest research, this self-contained book discusses the major mathematical tools necessary for the study of complex dynamics at an advanced level. Complete proofs of some of the major tools are presented; some, such as the Bers-Royden theorem on holomorphic motions, appear for the very first time in book format. Originating with the pioneering works of P. Fatou and G. Julia, the subject of complex dynamics has seen great advances in recent years. This necessary book will appeal to graduate students and researchers working in dynamical systems and related fields. Carefully chosen exercises aid understanding and provide a glimpse of further developments in real and complex one-dimensional dynamics.
Title:Mathematical Tools for One-Dimensional DynamicsFormat:HardcoverDimensions:208 pages, 8.98 × 5.98 × 0.59 inPublished:November 10, 2008Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0521888611

ISBN - 13:9780521888615


Table of Contents

Preface; 1. Introduction; 2. Preliminaries in complex analysis; 3. Uniformization and conformal distortion; 4. The measurable Riemann mapping theorem; 5. Holomorphic motions; 6. The Schwarzian derivative and cross-ratio distortion; 7. Appendix: Riemann Surfaces and Teichmüller spaces; Bibliography; Index.

Editorial Reviews

'... a successful self-contained exposition of an important part of the theory with indications for further studies and discussion of perspectives, including fundamental open problems.' EMS Newsletter