000331422 000__ 01965cam\a22002894a\4500 000331422 001__ 331422 000331422 005__ 20210513121718.0 000331422 008__ 080410s2008\\\\njuab\\\\b\\\\001\0\eng\\ 000331422 010__ $$a 2008062108 000331422 020__ $$a9780691126777 (alk. paper) 000331422 020__ $$a0691126771 (alk. paper) 000331422 035__ $$a(OCoLC)ocn225091369 000331422 035__ $$a331422 000331422 040__ $$aDLC$$cDLC$$dBTCTA$$dBAKER$$dYDXCP$$dUKM$$dC#P$$dBWX$$dCDX$$dYBM$$dLMR$$dMNY$$dVP@ 000331422 049__ $$aISEA 000331422 05000 $$aQA611.A3$$bR53 2008 000331422 08200 $$a514.09$$222 000331422 1001_ $$aRicheson, David S.$$q(David Scott) 000331422 24510 $$aEuler's gem :$$bthe polyhedron formula and the birth of topology /$$cDavid S. Richeson. 000331422 260__ $$aPrinceton, N.J. :$$bPrinceton University Press,$$cc2008. 000331422 300__ $$axii, 317 p. :$$bill., maps ;$$c24 cm. 000331422 504__ $$aIncludes bibliographical references (p. [295]-308) and index. 000331422 5050_ $$aLeonhard 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. 000331422 650_0 $$aTopology$$xHistory. 000331422 650_0 $$aPolyhedra. 000331422 85200 $$bgen$$hQA611.A3$$iR53$$i2008 000331422 85642 $$3Contributor biographical information$$uhttp://www.loc.gov/catdir/enhancements/fy0834/2008062108-b.html 000331422 85642 $$3Publisher description$$uhttp://www.loc.gov/catdir/enhancements/fy0834/2008062108-d.html 000331422 909CO $$ooai:library.usi.edu:331422$$pGLOBAL_SET 000331422 980__ $$aBIB 000331422 980__ $$aBOOK