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Worlds Out of Nothing

Worlds Out of Nothing


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About the Book

Mathematics in the French Revolution.- Poncelet (and Pole and Polar).- Theorems in Projective Geometry.- Poncelet's Traité.- 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.- János Bolyai.- Lobachevskii.- Publication and Non-Reception up to 1855.- On Writing the History of Geometry - 1.- Across the Rhine - Möbius's Algebraic Version of Projective Geometry.- Plücker, Hesse, Higher Plane Curves, and the Resolution of the Duality Paradox.- The Plücker 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.- Hilbert and his Grundlagen der Geometrie.- The Foundations of Projective Geometry in Italy.- Henri Poincaré 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.


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Product Details
  • ISBN-13: 9780857290595
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Depth: 19
  • Height: 234 mm
  • No of Pages: 384
  • Series Title: Springer Undergraduate Mathematics
  • Sub Title: A Course in the History of Geometry in the 19th Century
  • Width: 156 mm
  • ISBN-10: 0857290592
  • Publisher Date: 03 Dec 2010
  • Binding: Paperback
  • Edition: Reprint
  • Language: English
  • Returnable: N
  • Spine Width: 21 mm
  • Weight: 625 gr


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