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| Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets (Proceedings of Symposia in Applied Mathematics) | 
| Creator: Robert L. Devaney
Publisher: American Mathematical Society
Category: Book
Buy New: $47.26
New (3) from $47.26
Sales Rank: 2535644
Media: Hardcover
Number Of Items: 1
Pages: 209
Shipping Weight (lbs): 1.3
Dimensions (in): 10 x 7.1 x 0.7
ISBN: 0821802909
Dewey Decimal Number: 514.74
EAN: 9780821802908
ASIN: 0821802909
Publication Date: March 1995
Availability: Usually ships in 1-2 business days
Condition: Brand New. Delivery is usually 5 - 8 working days from order, International is by Royal Mail Airmail
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| Editorial Reviews:
Product 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.
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