登入選單
返回Google圖書搜尋
其他書名
The Vision of Felix Klein
出版Cambridge University Press, 2002-04-25
主題Computers / Software Development & Engineering / Computer GraphicsMathematics / GeneralMathematics / Algebra / GeneralMathematics / Discrete MathematicsMathematics / Geometry / GeneralMathematics / Group TheoryMathematics / History & PhilosophyMathematics / Topology
ISBN05213525339780521352536
URLhttp://books.google.com.hk/books?id=XFE3jmSEfC8C&hl=&source=gbs_api
EBookSAMPLE
註釋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.