Cambridge University Press Indra's Pearls: The Vision of Felix Klein

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  • ISBN: 9780521352536
  • Authors: David Mumford,Caroline Series,David Wright
  • Edition: 1
  • Publisher: Cambridge University Press
  • Publication Date: 20/06/2002
Cambridge University Press Indra's Pearls: The Vision of Felix Klein
 
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Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple coexisting symmetries. For a century, these images barely existed outside the imagination of mathematicians. However, in the 1980s, the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing programs that generate the images. Others can see how the images relate to ideas at the forefront of research.

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Additional Information

Authors David Mumford,Caroline Series,David Wright
Barcode 9780521352536
Brand Cambridge University Press
Edition 1
ISBN 9780521352536
Publication Date 20/06/2002
Publisher Cambridge University Press