Beyond Geometry Classic Papers from Riemann to Einstein

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  • Format: Paperback
  • Copyright: 2006-12-15
  • Publisher: Dover Publications

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Eight essays trace seminal ideas about the foundations of geometry that led to the development of Einstein's general theory of relativity. This original Dover publication is the only English-language collection of these important papers, some of which are extremely hard to find. Helpful notes offer insights on each paper.

Author Biography

Peter Pesic is affiliated with St. John's College in Santa Fe, New Mexico.

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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