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Mandelbrot Set, Theme and Variations

Name: Mandelbrot Set, Theme and Variations
Brand: Cambridge University Press
SKU: 02042745
Price: 108.19 EUR
Availability: InStock
Author: Tan Lei
ISBN: 9780521774765

Tan Lei

Language

English

Book Paperback

Libristo code: 02042745

Publishers Cambridge University Press, April 2000

The Mandelbrot set is a fractal shape that classifies the dynamics of quadratic polynomials. It has... Full description

Libristo code: 02042745

265 b

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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 In addition to presenting new work, this collection documents important results hitherto unpublished or difficult to find in the literature.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.