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Indra´s Pearls: The Vision of Felix Klein
David Mumford
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Description for Indra´s Pearls: The Vision of Felix Klein
paperback. This book tells the story of the first computer exploration of Klein's vision of infinitely repeated reflections, featuring extraordinary images. Num Pages: 414 pages, 55 b/w illus. 150 colour illus. 75 exercises. BIC Classification: PBF; PBM. Category: (L) ELT / TEFL. Dimension: 249 x 190 x 23. Weight in Grams: 1168.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2015
Publisher
Cambridge University Press
Condition
New
Number of Pages
414
Place of Publication
Cambridge, United Kingdom
ISBN
9781107564749
SKU
V9781107564749
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-8
About David Mumford
David Mumford has been University Professor in the Division of Applied Mathematics at Brown University since 1996. Before that he was at Harvard University for thirty-five years. He has been a contributor to the Calculus Textbook Project, led by Hughes-Hallett and Gleason. Over his long and distinguished career, Professor Mumford has received many awards and honours, including the Fields Medal ... Read more
Reviews for Indra´s Pearls: The Vision of Felix Klein
'[This book is] richly illustrated with these wonderful and mysterious pictures and gives detailed instructions for recreating them, right down to the level of computer programs (written in pseudo-code, and easy to translate into any computer language) … the reader who attempts any substantial subset of [the projects] will gain enormously … Even those who are convinced they have no ... Read more