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080410s2008 njuab b 001 0 eng |
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|a 9780691126777 (hbk. : alk. paper)
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| 040 |
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|a DLC
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| 050 |
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|a QA611.A3
|b R53 2008
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| 082 |
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|2 22
|a 514.09
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|a Richeson, David S.
|q (David Scott)
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| 245 |
1 |
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|a Euler's gem :
|b the polyhedron formula and the birth of topology /
|c David S. Richeson.
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| 260 |
1 |
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|a Princeton, N.J. :
|b Princeton University Press,
|c c2008.
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| 300 |
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|a xii, 317 p. :
|b ill., maps ;
|c 24 cm.
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| 504 |
1 |
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|a Includes bibliographical references (p. [295]-308) and index.
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| 505 |
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|a Leonhard Euler and his three "great" friends -- What is a polyhedron? -- The five perfect bodies -- The Pythagorean brotherhood and Plato's atomic theory -- Euclid and his elements -- Kepler's polyhedral universe -- Euler's gem -- Platonic solids, gold balls, Fullerenes, and geodesic domes -- Scooped by Descartes? -- Legendre gets it right -- A stroll through Königsberg -- Cauchy's flattened polyhedra -- Planar graphs, geoboards, and brussels sprouts -- It's a colorful world -- New problems and new proofs -- Rubber sheets, hollow doughnuts, and crazy bottles -- Are they the same, or are they different? -- A knotty problem -- Combing the hair on a coconut -- When topology controls geometry -- The topology of curvy surfaces -- Navigating in n dimensions -- Henri Poincaré and th ascendance of topology -- The million-dollar question.
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| 650 |
1 |
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|a Topology
|x History.
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| 650 |
1 |
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|a Polyhedra.
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| 952 |
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|a GrThPMO
|b 59b015406c5ad17d7e5ad660
|c 952a
|d 9528
|e QA611.A3R53 2008
|t 7
|x m
|z Books
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