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
发表于2024-12-25
Indra's Pearls 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024
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.
评分
评分
评分
评分
Indra's Pearls 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024