
Beyond Geometry Classic Papers from Riemann to Einstein
by Pesic, Peter-
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Summary
Author Biography
Table of Contents
Introduction | 1 | ||
Bernhard Riemann: On the Hypotheses That Lie at the Foundations of Geometry (1854) | 23 | ||
Bernhard Riemann: Two Excerpts from Riemann's Nachlass (1853) | 41 | ||
Hermann von Helmholtz: On the Factual Foundations of Geometry (1866) | 47 | ||
Hermann von Helmholtz: The Origin and Meaning of Geometrical Axioms (1870) | 53 | ||
William Kingdon Clifford: On the Space-Theory of Matter (1870) | 71 | ||
William Kingdon Clifford: The Postulates of the Science of Space (1873) | 73 | ||
Simon Newcomb: Elementary Theorems Relating to the Geometry of a Space of Three Dimensions and of Uniform Positive Curvature in the Fourth Dimension (1877) | 89 | ||
Henri Poincare: Non-Euclidean Geometries (1891) | 97 | ||
Felix Klein: The Most Recent Researches in Non-Euclidean Geometry (1893) | 109 | ||
Henri Poincare: On the Foundations of Geometry (1898) | 117 | ||
Albert Einstein: Geometry and Experience (1921) | 147 | ||
Albert Einstein: Non-Euclidean Geometry and Physics (1925) | 159 | ||
Albert Einstein: Space-Time (1926) | 163 | ||
Albert Einstein: Space, Ether, and Field in Physics (1930) | 173 | ||
Elie Cartan: Euclidean Geometry and Riemannian Geometry (1931) | 179 | ||
Albert Einstein: The Problem of Space, Ether, and the Field in Physics (1934) | 187 | ||
References | 195 | ||
Index | 208 |
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