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Euler's gem : = the polyhedron formu...

Richeson, David S.

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Euler's gem : = the polyhedron formula and the birth of topology /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Euler's gem :/ David S. Richeson.
其他題名:	the polyhedron formula and the birth of topology /
作者:	Richeson, David S.
出版者:	Princeton, N.J. :Princeton University Press, : c2008.,
面頁冊數:	xii, 317 p. :ill., maps ;24 cm.
內容註:	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 K�onigsberg -- 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 Poincar�e and th ascendance of topology -- The million-dollar question.
標題:	Topology - History. -
電子資源:	http://www.loc.gov/catdir/enhancements/fy0834/2008062108-b.html
電子資源:	http://www.loc.gov/catdir/enhancements/fy0834/2008062108-d.html
ISBN:	9780691126777

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 K�onigsberg -- 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 Poincar�e and th ascendance of topology -- The million-dollar question.

ISBN: 9780691126777

LCCN: 2008062108Subjects--Topical Terms:

558369
Topology
--History.

LC Class. No.: QA611.A3 / R53 2008

Dewey Class. No.: 514.09

Euler's gem : = the polyhedron formula and the birth of topology /
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