Mathematical Tools for One-Dimensional Dynamics - Rilegato

De Faria, Edson De; De Melo, Welington De

Rilegato

ISBN 10: 0521888611 ISBN 13: 9780521888615

Casa editrice: Cambridge University Press, 2008

Riassunto

Originating with the pioneering works of P. Fatou and G. Julia, the subject of complex dynamics has seen great advances in recent years. Complex dynamical systems often exhibit rich, chaotic behavior, which yields attractive computer generated pictures, for example the Mandelbrot and Julia sets, which have done much to renew interest in the subject. 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. An appendix considers Riemann surfaces and Teichmüller theory. Detailing the very latest research, the 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.

Su questo libro

Recensione:

'... 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

Descrizione del libro:

Self-contained book presenting the mathematical tools necessary for the study of complex dynamics. Detailing the latest research, it 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.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2008
• ISBN 10: 0521888611
• ISBN 13: 9780521888615
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 208