The colours of infinity: The beauty and power of fractals

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The groundbreaking documentary accompanying this book (visit extras.springer.com) is presented by Arthur C Clarke with music by David Gilmour of Pink Floyd. Introduced fifteen years ago, this brought the subject of fractals to the attention of the general public for the first time; since then it has been shown in over fifty countries around the world.

Contributors to the film are joined by other leading experts in this latest edition of ‘The Colours of Infinity’, a comprehensive survey of fractal theory and practice. Incorporating an additional chapter on the money markets by the fractal master himself, Professor Benoit Mandelbrot, the documentary has also been re-mastered providing stunning new fractal animations. A must read for anyone with an interest in the ‘beauty and power of fractals’.

Author(s): Ian Stewart (auth.), Nigel Lesmoir-Gordon (eds.)
Edition: 2
Publisher: Springer-Verlag London
Year: 2010

Language: English
Pages: 207
Tags: Popular Science in Mathematics/Computer Science/Natural Science/Technology;Geometry;Complexity

Front Matter....Pages i-x
The Nature of Fractal Geometry....Pages 2-23
Exploring the Fractal Universe....Pages 24-37
A Geometry Able to Include Mountains and Clouds....Pages 38-57
Fractal Transformations....Pages 58-73
Fractal Limits: The Mandelbrot Set and the self-similar tilings of M. C. Escher....Pages 74-87
Self-organization, Self-regulation, and Self-similarity on the Fractal Web....Pages 88-118
Fractal Financial Fluctuations....Pages 120-134
Filming The Colours of Infinity....Pages 136-143
The Colours of Infinity-The Film Script....Pages 144-172
Back Matter....Pages 173-207