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Indra's Pearls 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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David Mumford 作者

Cambridge University Press

译者

2002-5-6 出版日期

416 页数

USD 77.00 价格

Hardcover

丛书系列

9780521352536 图书编码

Indra's Pearls 在线电子书图书标签: 数学群论 Klein 科学史毕加索脸待定外文几何

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Indra's Pearls 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Indra's Pearls 在线电子书图书描述

Felix Klein, one of the great nineteenth-century geometers, rediscovered in mathematics an idea from Eastern philosophy: 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 co-existing symmetries. For a century these ideas 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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