Complex dynamical systems : the mathematics behind the Mandelbrot and Julia sets
Author(s)
Bibliographic Information
Complex dynamical systems : the mathematics behind the Mandelbrot and Julia sets
(Proceedings of symposia in applied mathematics, v. 49 . AMS short course lecture notes)
American Mathematical Society, c1994
Available at 47 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographical references and index
"Lecture notes prepared for the American Mathematical Society Short Course, Complex Dynamical Systems Held in Cincinnati, Ohio January 10-11, 1994" -- T.p. verso
Description and Table of Contents
Description
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.
Table of Contents
The complex dynamics of quadratic polynomials by R. L. Devaney Puzzles and para-puzzles of quadratic and cubic polynomials by B. Branner Julia sets of rational maps by L. Keen Does a Julia set depend continuously on the polynomial? by A. Douady The dynamics of Newton's method by P. Blanchard The spider algorithm by J. H. Hubbard and D. Schleicher Complex dynamics and entire functions by R. L. Devaney.
by "Nielsen BookData"