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The cover of “The Mandelbrot Set, Theme and Variations” - Open Library.

"The Mandelbrot Set, Theme and Variations" is published by Cambridge University Press in April 13, 2000, it has 365 pages and the language of the book is English.


“The Mandelbrot Set, Theme and Variations” Metadata:

  • Title: ➤  The Mandelbrot Set, Theme and Variations
  • Author:
  • Language: English
  • Number of Pages: 365
  • Publisher: Cambridge University Press
  • Publish Date:

“The Mandelbrot Set, Theme and Variations” Subjects and Themes:

Edition Specifications:

  • Format: Paperback
  • Weight: 1.3 pounds
  • Dimensions: 8.8 x 6.1 x 1 inches

Edition Identifiers:

AI-generated Review of “The Mandelbrot Set, Theme and Variations”:


Snippets and Summary:

We show small Mandelbrot sets are dense in the bifurcation locus for any holomorphic family of rational maps.

"The Mandelbrot Set, Theme and Variations" Description:

The Open Library:

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 In addition to presenting new work, this collection documents important results hitherto unpublished or difficult to find in the literature.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

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