Indra's Pearls - The Vision of Felix Klein (Paperback)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Release date:	November 2015
First published:	2002
Authors:	David Mumford • Caroline Series • David Wright
Dimensions:	246 x 190 x 21mm (L x W x T)
Format:	Paperback
Pages:	414
ISBN-13:	978-1-107-56474-9
Categories:	Books > Computing & IT > General Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Geometry > General Promotions
LSN:	1-107-56474-3
Barcode:	9781107564749

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