Indra's pearls : the vision of Felix Klein
Material type: TextEdition: 1Description: 395ISBN:- 9780521352536
- 514/.742 MUM-I
Item type | Current library | Home library | Call number | Status | Date due | Barcode | |
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Book | Dept. of Computational Biology and Bioinformatics Processing Center | Dept. of Computational Biology and Bioinformatics | 514/.742 MUM-I (Browse shelf(Opens below)) | Available | DCB2025 |
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513.92 KEL-S Short cut math | 514/.742 ADD-F Fractals and Chaos: An illustrated Course | 514/.742 MAN-F Fractals and Chaos | 514/.742 MUM-I Indra's pearls : the vision of Felix Klein | 514.224 KAU-F Formal Knot Theory | 514.742 GOR-I .MA Introducing Fractals: A Graphic Guide | 515/.2433 BLA-W Wavelets A Primer |
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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