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.
| ISBN: | 9780387951515 |
| Publication date: | 27th September 2000 |
| Author: | A F Beardon |
| Publisher: | Springer an imprint of Springer New York |
| Format: | Paperback |
| Pagination: | 280 pages |
| Series: | Graduate Texts in Mathematics |
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.
Paperback. Not Available.
Iteration of Rational Functions was written by A F Beardon and published by Springer an imprint of Springer New York
Iteration of Rational Functions has 280 pages
Yes it is part of Graduate Texts in Mathematics series