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01528pamaa2200205 4500 |
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0000049408 |
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20121206090000.0 |
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110726 eng |
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|a 9780691126777
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090 |
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|a QA611.A3
|b RIC 2008
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100 |
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|a Richeson
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245 |
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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 |
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|a Princeton, N.J.:
|b Princeton University Press,
|c 2008.
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300 |
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|a xii, 317 p.:
|b ill., maps;
|c 24 cm.
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500 |
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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 Kn̲igsberg -- Cauchy's flattened polyhedra -- Planar graphs, geoboards, and brussels sprouts -- It's a<U+000d><U+000a> 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 Poincar ̌and th ascendance of topology -- The million-dollar question
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501 |
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|a FAS
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504 |
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|a Includes bibliographical references (p. [295]-308) and index
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650 |
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|a Topology --
|x History
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650 |
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|a Polyhedra
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901 |
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|u www.press.princeton.edu
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