Worlds out of nothing [electronic resource] : a course in the history of geometry in the 19th century / Jeremy Gray
- Author:
- Gray, Jeremy
- Published:
- London : Springer, 2006.
- Physical Description:
- 1 volume
- Additional Creators:
- SpringerLink (Online service)
- Access Online:
- ezaccess.libraries.psu.edu
- Series:
- Springer undergraduate mathematics series, 1615-2085
- Contents:
- Mathematics in the French Revolution -- Poncelet (and Pole and Polar) -- Theorems in Projective Geometry -- Traite -- Duality and the Duality Controversy -- Poncelet, Chasles, and the Early Years of Projective Geometry -- Euclidean Geometry, the Parallel Postulate, and the Work of Lambert and Legendre -- Gauss (Schweikart and Taurinus) and Gauss's Differential Geometry -- Janos Bolyai -- Lobachevskii -- Publication and Non-Reception up to 1855 -- On Writing the History of Geometry -- 1 -- Across the Rhine -- Mobius's Algebraic Version of Projective Geometry -- Plucker, Hesse, Higher Plane Curves, and the Resolution of the Duality Paradox -- The Plucker Formulae -- The Mathematical Theory of Plane Curves -- Complex Curves -- Riemann: Geometry and Physics -- Differential Geometry of Surfaces -- Beltrami, Klein, and the Acceptance of Non-Euclidean Geometry -- On Writing the History of Geometry -- 2 -- Projective Geometry as the Fundamental Geometry -- Grundlagen der Geometrie -- The Foundations of Projective Geometry in Italy -- Henri Poincare and the Disc Model of non-Euclidean Geometry -- Is the Geometry of Space Euclidean or Non-Euclidean? -- Summary: Geometry to 1900 -- What is Geometry? The Formal Side -- What is Geometry? The Physical Side -- What is Geometry? Is it True? Why is it Important? -- On Writing the History of Geometry -- 3
- ISBN:
- 9781846286339
- Note:
- AVAILABLE ONLINE TO AUTHORIZED PSU USERS.
- Bibliography Note:
- Met lit. opg. en index.
- Reproduction Note:
- Electronic reproduction. Berlin : Springer, 2006. Mode of access: World Wide Web. Available via SpringerLink.
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