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A mathematical tapestry : demonstrating the beautiful unity of mathematics /
"This easy-to-read book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with an...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
©2010.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "This easy-to-read book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with any number of sides. This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions, including clear illustrations, enable the reader to gain hands-on experience constructing these models and to discover for themselves the patterns and relationships they unearth"-- |
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| Descripción Física: | 1 online resource (xv, 290 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 282-285) and index. |
| ISBN: | 9780511776557 0511776551 9780511773976 0511773978 9780511777004 0511777000 1107208505 9781107208506 1139636650 9781139636650 1282723421 9781282723429 9786612723421 6612723424 0511775792 9780511775796 0511772904 9780511772900 0511775032 9780511775031 |