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書刊名:
Euler's gem : the polyhedron formula and the birth of topology /richeson david s david scott
作者:
Richeson, David S. (David Scott)
出版社:
Princeton, N.J. : Princeton University Press, c2008
ISBN:
0691126771 (alk. paper)
9780691126777 : NT 791
索書號:
514.09 R529
套書內容:
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 the ascendance of topology -- The million-dollar question
稽核項:
xii, 317 p. : ill., maps ; 24 cm
叢書名:
線上資源:
http://www.loc.gov/catdir/enhancements/fy0834/2008062108-b.html
http://www.loc.gov/catdir/enhancements/fy0834/2008062108-d.html
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