Richeson, David S.
Euler's gem the polyhedron formula and the birth of topology / [electronic resource] : 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.
QA611.A3 / R53 2008eb
514.09
Euler's gem the polyhedron formula and the birth of topology / [electronic resource] : 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.
QA611.A3 / R53 2008eb
514.09