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Books > Science & Mathematics > Mathematics > Algebra
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Indra's Pearls - The Vision of Felix Klein (Paperback)
Loot Price: R1,192
Discovery Miles 11 920
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Indra's Pearls - The Vision of Felix Klein (Paperback)
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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.
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