The Mandelbrot Set, Theme and Variations (London Mathematical Society Lecture Note Series)
(Book #274 in the London Mathematical Society Lecture Note Series)
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Book Overview
The Mandelbrot set is a fractal shape that classifies the dynamics of quadratic polynomials. It has a remarkably rich geometric and combinatorial structure. This volume provides a systematic exposition of current knowledge about the Mandelbrot set and presents the latest research in complex dynamics. Topics discussed include the universality and the local connectivity of the Mandelbrot set, parabolic bifurcations, critical circle homeomorphisms, absolutely continuous invariant measures and matings of polynomials, along with the geometry, dimension and local connectivity of Julia sets. In addition to presenting new work, this collection documents important results hitherto unpublished or difficult to find in the literature. This book will be of interest to graduate students in mathematics, physics and mathematical biology, as well as researchers in dynamical systems and Kleinian groups.
Format:Paperback
Language:English
ISBN:0521774764
ISBN13:9780521774765
Release Date:April 2000
Publisher:Cambridge University Press
Length:388 Pages
Weight:1.25 lbs.
Dimensions:0.9" x 6.0" x 9.0"
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