LEADER 00000cam a2200553 a 4500 001 ocn225091369 005 20100628111646.0 008 080410t20082008njuab b 001 0 eng 010 2008062108 015 GBA888251|2bnb 016 7 014668593|2Uk 020 9780691126777|qalkaline paper 020 0691126771|qalkaline paper 035 (OCoLC)ocn225091369 035 (OCoLC)225091369 035 489931 040 DLC|beng|cDLC|dBTCTA|dBAKER|dYDXCP|dUKM|dC#P|dBWX|dCDX |dYBM|dLMR|dMNY|dVP@|dBNM 049 RIDM 050 00 QA611.A3|bR53 2008 082 00 514.09|222 090 QA611.A3 R53 2008 100 1 Richeson, David S.|q(David Scott)|0https://id.loc.gov/ authorities/names/no2008136462 245 10 Euler's gem :|bthe polyhedron formula and the birth of topology /|cDavid S. Richeson. 264 1 Princeton, N.J. :|bPrinceton University Press,|c[2008] 264 4 |c©2008 300 xii, 317 pages :|billustrations, maps ;|c24 cm 336 text|btxt|2rdacontent 337 unmediated|bn|2rdamedia 338 volume|bnc|2rdacarrier 504 Includes bibliographical references (pages 295-308) and index. 505 0 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. 650 0 Topology|0https://id.loc.gov/authorities/subjects/ sh85136089|xHistory.|0https://id.loc.gov/authorities/ subjects/sh99005024 650 0 Polyhedra.|0https://id.loc.gov/authorities/subjects/ sh85104647 650 7 Topology.|2fast|0https://id.worldcat.org/fast/1152692 650 7 History.|2fast|0https://id.worldcat.org/fast/958235 650 7 Polyhedra.|2fast|0https://id.worldcat.org/fast/1070511 856 42 |3Contributor biographical information|uhttp://www.loc.gov /catdir/enhancements/fy0834/2008062108-b.html 856 42 |3Publisher description|uhttp://www.loc.gov/catdir/ enhancements/fy0834/2008062108-d.html 901 MARCIVE 20231220 935 489931 994 C0|bRID
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