Worlds out of nothing : a course in the history of geometry in the 19th century / Jeremy Gray

Author:: Gray, Jeremy, 1947-
Published:: London : Springer, [2007]
Copyright Date:: ©2007
Physical Description:: xix, 376 pages : illustrations ; 24 cm.

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Series:

Springer undergraduate mathematics series, 1615-2085

Contents:

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.

Subject(s):

Geometry—History—19th century

ISBN:

9781846286322 (acid-free paper)
1846286328 (acid-free paper)
9781846286339 (e-ISBN)
1846286336 (e-ISBN)

Bibliography Note:

Includes bibliographical references (pages [351]-367) and index.

View MARC record | catkey: 3944329