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

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David Mumford

Cambridge University Press

2002-5-6

416

USD 77.00

Hardcover

9780521352536

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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发表于2024-12-26

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

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

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.

Indra's Pearls 下载 mobi epub pdf txt 电子书