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.
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 KoÌnigsberg -- 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 PoincareÌ and the ascendance of topology -- The million-dollar question.
9780691126777 (alk. paper) 0691126771 (alk. paper)
2008062108
GBA888251 bnb
014668593 Uk
Topology--History.
Polyhedra.
QA611.A3 / R53 2008
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.
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 KoÌnigsberg -- 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 PoincareÌ and the ascendance of topology -- The million-dollar question.
9780691126777 (alk. paper) 0691126771 (alk. paper)
2008062108
GBA888251 bnb
014668593 Uk
Topology--History.
Polyhedra.
QA611.A3 / R53 2008
514.09