Euler's gem : the polyhedron formula and the birth of topology / David S. Richeson.
Material type:
TextPublication details: Princeton, N.J. : Princeton University Press, c2008.Description: xii, 317 p. : ill., maps ; 24 cmISBN: - 9780691154572
- 9780691154572:
- 514.09
| Item type | Current library | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|
| General Lending | Carlow Campus Library General Lending | 514.09 (Browse shelf(Opens below)) | 1 | Available | 69289 |
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.
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