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Euler's Gem : The Polyhedron Formula and the Birth of Topology /

Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story...

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Detalles Bibliográficos
Autor principal: Richeson, David S. (David Scott)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, 2008.
Colección:Book collections on Project MUSE.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Euler's Gem :   |b The Polyhedron Formula and the Birth of Topology /   |c David S. Richeson. 
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505 0 |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 Poincare and the ascendance of topology -- The million-dollar question. 
520 |a Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea. From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E edges. 
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650 7 |a Euler-Poincare-Charakteristik  |2 gnd 
650 7 |a Algebraische Topologie  |2 gnd 
650 7 |a Topology.  |2 fast  |0 (OCoLC)fst01152692 
650 7 |a Polyhedra.  |2 fast  |0 (OCoLC)fst01070511 
650 7 |a Topología  |v Historia  |2 embne 
650 7 |a Poliedros  |2 embne 
650 7 |a MATHEMATICS  |x Geometry  |x General.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Topology.  |2 bisacsh 
650 7 |a polyhedra.  |2 aat 
650 6 |a Polyedres. 
650 6 |a Topologie  |x Histoire. 
650 0 |a Polyhedra. 
650 0 |a Topology  |x History. 
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