Indra's Pearls

Indra's Pearls pdf epub mobi txt 电子书 下载 2025

出版者:Cambridge University Press
作者:David Mumford
出品人:
页数:416
译者:
出版时间:2002-5-6
价格:USD 77.00
装帧:Hardcover
isbn号码:9780521352536
丛书系列:
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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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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