Euler's gem : the polyhedron formula and the birth of topology / David S. Richeson.
Material type: TextPublication details: Princeton, N.J. : Princeton University Press, c2012Description: xii, 317 p. : ill., maps ; 24 cmISBN: 9780691154572 (pbk)Subject(s): Topology -- History | PolyhedraDDC classification: 514.09Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
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Books | Namal Library Mathematics | 514.09 RIC-E 2012 10649 (Browse shelf (Opens below)) | Available | 0010649 |
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514 MUN-T 2020 13699 Topology / | 514 SHI-T 2007 12011 Topology : Point-Set and geometric / | 514 WIL-G 2016 10795 General topology / | 514.09 RIC-E 2012 10649 Euler's gem : the polyhedron formula and the birth of topology / | 514.2 MAS-A 2010 978 Algebraic topology : | 514.2 SHE-P 2007 10621 The Poincaré conjecture: in search of the shape of the universe / | 514.32 KHA-I 2001 10663 An introduction to metric spaces and fixed point theory / |
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.
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