Información General

• Autores: Alan F. Beardon
• Editores: New York [etc. : Springer, 1991
• Año de publicación: 1991
• País: España
• Idioma: inglés
• ISBN: 0-387-97589-6
• Texto completo no disponible (Saber más ...)

Resumen

• 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.

Otros catálogos

• Red de Bibliotecas Universitarias (REBIUN)

Índice

• Examples.- Rational Maps.- The Fatou and Julia Sets.- Properties of the Julia Set.- The Structure of the Fatou Set.- Periodic Points.- Forward Invariant Components.- The No Wandering Domains Theorem.- Critical Points.- Hausdorff Dimension.- Examples.- References