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, c2012. - xii, 317 p. : ill., maps ; 24 cm.
Includes bibliographical references (p. [295]-308) 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 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 (pbk)
2008062108
GBA888251 bnb
014668593 Uk
Topology--History.
Polyhedra.
514.09 / RIC-E 2012 10649
Euler's gem : the polyhedron formula and the birth of topology / David S. Richeson. - Princeton, N.J. : Princeton University Press, c2012. - xii, 317 p. : ill., maps ; 24 cm.
Includes bibliographical references (p. [295]-308) 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 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 (pbk)
2008062108
GBA888251 bnb
014668593 Uk
Topology--History.
Polyhedra.
514.09 / RIC-E 2012 10649