Indra's pearls: the vision of Felix Klein
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...
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| Weitere beteiligte Personen: | , , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2002
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| Schlagwörter: | |
| Links: | https://doi.org/10.1017/CBO9781107050051 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xix, 395 Seiten) |
| ISBN: | 9781107050051 |
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| spelling | Mumford, David 1937- Indra's pearls the vision of Felix Klein David Mumford, Caroline Series, and David Wright ; with cartoons by Larry Gonick Cambridge Cambridge University Press 2002 1 Online-Ressource (xix, 395 Seiten) txt c cr 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. Klein, Felix, 1849-1925. Gonick, Larry Series, Caroline Wright, David James Erscheint auch als Druck-Ausgabe 9780521352536 Erscheint auch als Druck-Ausgabe 9781107564749 |
| spellingShingle | Mumford, David 1937- Indra's pearls the vision of Felix Klein Klein, Felix, 1849-1925. |
| title | Indra's pearls the vision of Felix Klein |
| title_auth | Indra's pearls the vision of Felix Klein |
| title_exact_search | Indra's pearls the vision of Felix Klein |
| title_full | Indra's pearls the vision of Felix Klein David Mumford, Caroline Series, and David Wright ; with cartoons by Larry Gonick |
| title_fullStr | Indra's pearls the vision of Felix Klein David Mumford, Caroline Series, and David Wright ; with cartoons by Larry Gonick |
| title_full_unstemmed | Indra's pearls the vision of Felix Klein David Mumford, Caroline Series, and David Wright ; with cartoons by Larry Gonick |
| title_short | Indra's pearls |
| title_sort | indra s pearls the vision of felix klein |
| title_sub | the vision of Felix Klein |
| topic | Klein, Felix, 1849-1925. |
| topic_facet | Klein, Felix, 1849-1925. |
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