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Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets: Proceedings of Symposia in Applied Mathematics, cartea 49

Editat de Robert L. Devaney
en Limba Engleză Hardback – 22 mar 1995
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 January1994. 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 topicsare 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.
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Specificații

ISBN-13: 9780821802908
ISBN-10: 0821802909
Pagini: 209
Dimensiuni: 190 x 267 x 17 mm
Greutate: 0.65 kg
Editura: American Mathematical Society
Colecția American Mathematical Society
Seria Proceedings of Symposia in Applied Mathematics

Locul publicării:Oxford, United States