India Pearls: The Vision of Felix Klein (Record no. 46410)

MARC details
000 -LEADER
fixed length control field 01361 a2200157 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781107564749
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514.742 MUM
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Mumford, David
245 ## - TITLE STATEMENT
Title India Pearls: The Vision of Felix Klein
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher, distributor, etc Cambridge University Press
Place of publication, distribution, etc United Kingdom
Date of publication, distribution, etc 2006
300 ## - PHYSICAL DESCRIPTION
Extent 395
520 ## - SUMMARY, ETC.
Summary, etc 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.
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Series, Caroline
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Wright, David
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Book
Source of classification or shelving scheme Dewey Decimal Classification

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