Download or read book Iteration of Rational Functions written by Alan F. Beardon and published by Springer Science & Business Media. This book was released on 2000-09-27 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest. The text provides a comprehensive, well-organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The coverage extends from early memoirs of Fatou and Julia to important recent results and methods of Sullivan and Shishikura. Many details of the proofs have not appeared in print before.