Indra's Pearls: The Vision of Felix Klein
Editorial Reviews
Review
'I rarely feel a certain kind of euphoria by just looking at the cover of a mathematics book. But that happened with Indra's Pearls: The Vision of Felix Klien ... fantastic illustrations together with apparently well founded mathematical explanations. and that presented in an accessible way, which dares to prioritize general comprehension above a strict theoretical approach ... As far as I know this book is one of the most beautiful examples of the illustration of the inherent aesthetic beauty (which exists)within mathematics ... the images are of the highest quality obtainable at present for mathematical structures. Everyone, who ever tried to create something comparable, knows how difficult it is.' Juergen Richter-Gebert, Technische Universitaet Muenchen
'I truly enjoyed reading Indra's Pearls. I am sure that the book will have a major impact on the way we teach geometry and dynamics ... a jewel that will more than repay the persistent reader's efforts.' Science
'The production of the book leaves nothing to be desired. It is splendid. Printed entirely on glossy paper, with practically all of the many figures in glorious color, the book has a number of admirable design features: large type and wide margins wherein references are given and occasional comments (often quite talky) are made. CU Press has done a beautiful job, and David Tranah of the CU Press deserves special commendation for his role in pulling out all the stops.' SIAM News
Book Description
Felix Klein, 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 Klein'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.
Indra's Pearls: The Vision of Felix Klein,David Mumford,Caroline Series,David Wright,Cambridge University Press,0521352533,1849-1925,Algebra - General,Discrete Mathematics,Fractals,Group Theory,Klein, Felix,,Mathematics,Science/Mathematics,Theory Of Groups,Algebra,Computing and Information Technology,Geometry,Mathematics / Applied
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