Indra's Pearls: The Vision of Felix Klein by David Mumford, Caroline Series, David Wright | | Hardcover | Barnes & Noble
Indra's Pearls: The Vision of Felix Klein / Edition 1

Indra's Pearls: The Vision of Felix Klein / Edition 1

by David Mumford, David Wright, Caroline Series
     
 

ISBN-10: 0521352533

ISBN-13: 9780521352536

Pub. Date: 03/29/2002

Publisher: Cambridge University Press

Felix Mein, a great geometer of the nineteenth century, rediscovered an idea from Hindu mythology in mathematics: the heaven of Indra in which the whole Universe was mirrored in each pearl in a net of pearls. Practically impossible to represent by hand, this idea barely existed outside the imagination, until the 1980s when the authors embarked on the first computer

Overview

Felix Mein, a great geometer of the nineteenth century, rediscovered an idea from Hindu mythology in mathematics: the heaven of Indra in which the whole Universe was mirrored in each pearl in a net of pearls. Practically impossible to represent by hand, this idea barely existed outside the imagination, until the 1980s when the authors embarked on the first computer investigation of Mein's vision. In this extraordinary book they explore the path from some basic mathematical ideas to the simple algorithms that create delicate fractal filigrees, most appearing in print for the first time. Step-by-step instructions for writing computer programs allow beginners to generate the images.

Product Details

ISBN-13:
9780521352536
Publisher:
Cambridge University Press
Publication date:
03/29/2002
Edition description:
New Edition
Pages:
416
Product dimensions:
7.44(w) x 9.69(h) x 1.06(d)

Table of Contents

Preface; Introduction; 1. The language of symmetry; 2. A delightful fiction; 3. Double spirals and Möbius maps; 4. The Schottky dance; 5. Fractal dust and infinite words; 6. Indra's necklace; 7. The glowing gasket; 8. Playing with parameters; 9. Accidents will happen; 10. Between the cracks; 11. Crossing boundaries; 12. Epilogue; Index; Road map.

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