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AUTHOR |
Richeson, David S. (David Scott). |
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TITLE |
Euler's gem : the polyhedron formula and the birth of topology / David S. Richeson. |
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IMPRINT |
Princeton, NJ : Princeton University Press, 2008. |
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DESCRIPTION |
xii, 317 p. : ill., maps ; 24 cm. |
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NOTE |
Includes bibliographical references (p. [295]-308) and index. |
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CONTENT NOTE |
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 Ko?nigsberg -- 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 Poincare? and th ascendance of topology -- The million-dollar question. |
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SUBJECT |
Polyhedra. |
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SUBJECT |
Topology -- History. |
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DISCIPLINE |
Mathematics. |
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ISBN |
9780691126777. |
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