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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 /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Euler's gem :/ David S. Richeson.
Reminder of title:
the polyhedron formula and the birth of topology /
Author:
Richeson, David S.
Published:
Princeton, N.J. :Princeton University Press, : c2008.,
Description:
xii, 317 p. :ill., maps ;24 cm.
[NT 15003449]:
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.
Subject:
Topology - History. -
Online resource:
http://www.loc.gov/catdir/enhancements/fy0834/2008062108-b.html
Online resource:
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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the polyhedron formula and the birth of topology /
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David S. Richeson.
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Princeton, N.J. :
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xii, 317 p. :
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ill., maps ;
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Includes bibliographical references (p. [295]-308) and index.
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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.
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