Euler's gem the polyhedron formula and the birth of topology / David S. Richeson.

Author/creator Richeson, David S.
Format Electronic
Publication InfoPrinceton, N.J. : Princeton University Press,
Descriptionxii, 317 p. : ill., maps ; 24 cm.
Supplemental ContentFull text available from Ebook Central - Academic Complete
Subjects
Topology--History.
Polyhedra.

Contents 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.
Bibliography noteIncludes bibliographical references (p. [295]-308) and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2008062108
ISBN9780691126777 (alk. paper)
ISBN0691126771 (alk. paper)

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