Indra's Pearls

The Vision of Felix Klein

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book Indra's Pearls by David Mumford, Caroline Series, David Wright, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: David Mumford, Caroline Series, David Wright ISBN: 9781107713062
Publisher: Cambridge University Press Publication: April 25, 2002
Imprint: Cambridge University Press Language: English
Author: David Mumford, Caroline Series, David Wright
ISBN: 9781107713062
Publisher: Cambridge University Press
Publication: April 25, 2002
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book The Cambridge Introduction to British Fiction, 1900–1950 by David Mumford, Caroline Series, David Wright
Cover of the book Newton: Philosophical Writings by David Mumford, Caroline Series, David Wright
Cover of the book Trade and Civilisation by David Mumford, Caroline Series, David Wright
Cover of the book Networks in Telecommunications by David Mumford, Caroline Series, David Wright
Cover of the book Phased Arrays for Radio Astronomy, Remote Sensing, and Satellite Communications by David Mumford, Caroline Series, David Wright
Cover of the book Letters of the Catholic Poor by David Mumford, Caroline Series, David Wright
Cover of the book Schopenhauer: Parerga and Paralipomena: Volume 1 by David Mumford, Caroline Series, David Wright
Cover of the book Computer Vision for Visual Effects by David Mumford, Caroline Series, David Wright
Cover of the book Space and Sculpture in the Classic Maya City by David Mumford, Caroline Series, David Wright
Cover of the book The ASEAN Economic Community by David Mumford, Caroline Series, David Wright
Cover of the book Constitutionalism in Global Constitutionalisation by David Mumford, Caroline Series, David Wright
Cover of the book The Theft of History by David Mumford, Caroline Series, David Wright
Cover of the book Reading Dante in Renaissance Italy by David Mumford, Caroline Series, David Wright
Cover of the book Great Christian Jurists and Legal Collections in the First Millennium by David Mumford, Caroline Series, David Wright
Cover of the book Making and Bending International Rules by David Mumford, Caroline Series, David Wright
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy