Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets - Couverture rigide

American Mathematical Society

Couverture rigide

ISBN 10 : 0821802909 ISBN 13 : 9780821802908

Editeur : American Mathematical Society, 1994

Synopsis

In the last fifteen years, the Mandelbrot set has emerged as one of the most recognizable objects in mathematics. While there is no question of its beauty, relatively few people appreciate the fact that the mathematics behind such images is equally beautiful. This book presents lectures delivered during the AMS Short Course entitled 'Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets', held at the Joint Mathematics Meetings in Cincinnati in January 1994.The lectures cover a wide range of topics, including the classical work of Julia and Fatou on local dynamics of analytic maps as well as recent work on the dynamics of quadratic and cubic polynomials, the geometry of Julia sets, and the structure of various parameter spaces. Among the other topics are recent results on Yoccoz puzzles and tableaux, limiting dynamics near parabolic points, the spider algorithm, extensions of the theory to rational maps, Newton's method, and entire transcendental functions. Much of the book is accessible to anyone with a background in the basics of dynamical systems and complex analysis.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1994
• Langue: anglais
• ISBN 10: 0821802909
• ISBN 13: 9780821802908
• Reliure: Relié
• Nombre de pages: 209
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible