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

Robert L. Devaney

ISBN 10: 0821802909 / ISBN 13: 9780821802908

Edité par Amer Mathematical Society, 1994

A propos de cet article

209 pages. 10.50x7.50x0.50 inches. In Stock.

N° de réf. du vendeur __0821802909

Détails bibliographiques

• Titre: Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets
• Éditeur: Amer Mathematical Society
• Date de parution: 1994
• Langue: anglais
• ISBN à 10 chiffres: 0821802909
• ISBN à 13 chiffres: 9780821802908
• Reliure: Hardcover
• État de l'article: Brand New

A propos de ce titre

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.