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|b .G73 2007
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|a Gray, Jeremy,
|d 1947-
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|a Worlds out of nothing :
|b a course in the history of geometry in the 19th century /
|c Jeremy Gray.
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|a London :
|b Springer,
|c c2007.
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| 300 |
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|a xxiii, 376 p. :
|b ill. ;
|c 24 cm.
|
| 440 |
|
0 |
|a Springer undergraduate mathematics series,
|x 1615-2085
|
| 504 |
|
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|a Includes bibliographical references (p. [351]-367) and index.
|
| 505 |
0 |
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|a Mathematics in the French Revolution -- Poncelet (and pole and polar) -- Theorems in projective geometry -- Poncelet's traité -- Duality and the duality controversy -- Poncelet and Chasles -- Lambert and legendre -- Gauss -- János Bolyai -- Lobachevskii -- To 1855 -- Writing -- Möbius -- The duality paradox -- The Plücker formulae -- Higher plane curves -- Complex curves -- Riemann -- Differential geometry of surfaces -- Non-euclidean geometry accepted -- Writing -- Fundamental geometry -- Hilbert -- Italian foundations -- The disc model -- The geometry of space -- Summary: geometry to 1900 -- The formal side -- The physical side -- Is geometry true? -- Writing -- Von Staudt and his influence.
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|x History
|y 19th century.
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