Iteration of Rational Functions: Complex Analytic Dynamical Systems: 132 (Graduate Texts in Mathematics, 132) - Softcover

Beardon, Alan F.

 
9780387951515: Iteration of Rational Functions: Complex Analytic Dynamical Systems: 132 (Graduate Texts in Mathematics, 132)
Softcover
ISBN 10: 0387951512 ISBN 13: 9780387951515
Publisher: Springer, 2000

Synopsis

This book makes available a comprehensive, detailed, and organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The material covered extends from the original memoirs of Fatou and Julia to the recent and important results and methods of Sullivan and Shishikura. Many of the details of the proofs have not occurred in print before. The theory of of dynamical systems and chaos has recently undergone a rapid growth in popularity, in part due to the spectacular computer graphics of Julia sets, fractals, and the Mandelbrot set. This text focuses on the specialized area of complex analytic dynamics, a subject that dates back to 1916 and is currently a very active area in mathematics.

"synopsis" may belong to another edition of this title.

Review

A.F. Beardon

Iteration of Rational Functions

Complex Analytic Dynamical Systems

"This book makes available a comprehensive, detailed, and organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The material covered extends from the original memoirs of Fatou and Julia to the recent and important results and methods of Sullivan and Shishikura. Many of the details of the proofs have not occurred in print before."―ZENTRALBLATT MATH

Synopsis

This book makes available a comprehensive, detailed, and organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The material covered extends from the original memoirs of Fatou and Julia to the recent and important results and methods of Sullivan and Shishikura. Many of the details of the proofs have not occurred in print before. The theory of of dynamical systems and chaos has recently undergone a rapid growth in popularity, in part due to the spectacular computer graphics of Julia sets, fractals, and the Mandelbrot set. This text focuses on the specialized area of complex analytic dynamics, a subject that dates back to 1916 and is currently a very active area in mathematics.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2000
Language
English
ISBN 10 
0387951512
ISBN 13 
9780387951515
Binding
Paperback
Number of pages
296

Other Popular Editions of the Same Title

9780387975894: Iteration of Rational Functions (Graduate Texts in Mathematics)

Featured Edition

ISBN 10:  0387975896 ISBN 13:  9780387975894
Publisher: Springer-Verlag New York Inc., 1991
Hardcover