02150nam a2200337 a 4500 ebr10480678 CaPaEBR m u cr cn||||||||| 080410s2008 njuabc sb 001 0 eng d 2008062108 9780691126777 (alk. paper) 0691126771 (alk. paper) 9781400838561 (e-book) CaPaEBR CaPaEBR (OCoLC)753980256 QA611.A3 R53 2008eb 514.09 22 Richeson, David S. (David Scott) Euler's gem [electronic resource] : the polyhedron formula and the birth of topology / David S. Richeson. Princeton, N.J. : Princeton University Press, c2008. xii, 317 p. : ill., maps, ports. Includes bibliographical references and index. 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 K�onigsberg -- 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 Poincar�e and th ascendance of topology -- The million-dollar question. Electronic reproduction. Palo Alto, Calif. : ebrary, 2013. Available via World Wide Web. Access may be limited to ebrary affiliated libraries. Topology History. Polyhedra. Electronic books. local ebrary, Inc. http://site.ebrary.com/lib/rucke/Doc?id=10480678 An electronic book accessible through the World Wide Web; click to view 118608 118608