Euler's gem : the polyhedron formula and the birth of topology /
Richeson, David S.
Euler's gem : the polyhedron formula and the birth of topology / David S. Richeson. - Princeton, N.J. : Princeton University Press, c2008. - xii, 317 p. : ill., maps ; 24 cm.
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.
9780691154572 9780691154572: £11.95
Topology--History
Polyhedra.
Popular Science and Mathematics.
History of mathematics
Popular science
Topology
Geometry
514.09
Euler's gem : the polyhedron formula and the birth of topology / David S. Richeson. - Princeton, N.J. : Princeton University Press, c2008. - xii, 317 p. : ill., maps ; 24 cm.
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.
9780691154572 9780691154572: £11.95
Topology--History
Polyhedra.
Popular Science and Mathematics.
History of mathematics
Popular science
Topology
Geometry
514.09