Beyond Geometry Classic Papers from Riemann to Einstein
by Pesic, PeterFormat: Paperback
Pub. Date: 2006-12-15
Publisher(s): Dover Publications
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Summary
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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