Dover Books on Mathematics

Name: Dover Books on Mathematics
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Classic Papers from Riemann to Einstein

By: PETER PESIC

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Paperback | 15 December 2006

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This is the only English-language collection of these 8 accessible essays. They trace seminal ideas about the foundations of geometry that led to Einstein's general theory of relativity. 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. Contents include "On the Hypotheses which Lie at the Foundations of Geometry" by Georg Friedrich Riemann; "On the Facts which Lie at the Foundations of Geometry" and "On the Origin and Significance of Geometrical Axioms" by Hermann von Helmholtz; "A Comparative Review of Recent Researches in Geometry" by Felix Klein; "On the Space Theory of Matter" by William Kingdon Clifford; "On the Foundations of Geometry" by Henri Poincare; "Euclidean Geometry and Riemannian Geometry" by Elie Cartan; and "The Problem of Space, Ether, and the Field in Physics" by Albert Einstein. These remarkably accessible papers will appeal to students of modern physics and mathematics, as well as anyone interested in the origins and sources of Einstein's most profound work. Peter Pesic of St. John's College in Santa Fe, New Mexico, provides an introduction, as well as notes that offer insights into each paper.

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Introduction	p. 1
On the Hypotheses That Lie at the Foundations of Geometry (1854)	p. 23
Two Excerpts from Riemann's Nachlass (1853)	p. 41
On the Factual Foundations of Geometry (1866)	p. 47
The Origin and Meaning of Geometrical Axioms (1870)	p. 53
On the Space-Theory of Matter (1870)	p. 71
The Postulates of the Science of Space (1873)	p. 73
Elementary Theorems Relating to the Geometry of a Space of Three Dimensions and of Uniform Positive Curvature in the Fourth Dimension (1877)	p. 89
Non-Euclidean Geometries (1891)	p. 97
The Most Recent Researches in Non-Euclidean Geometry (1893)	p. 109
On the Foundations of Geometry (1898)	p. 117
Geometry and Experience (1921)	p. 147
Non-Euclidean Geometry and Physics (1925)	p. 159
Space-Time (1926)	p. 163
Space, Ether, and Field in Physics (1930)	p. 173
Euclidean Geometry and Riemannian Geometry (1931)	p. 179
The Problem of Space, Ether, and the Field in Physics (1934)	p. 187
References	p. 195
Index	p. 208
Table of Contents provided by Ingram. All Rights Reserved.

Dover Books on Mathematics

Classic Papers from Riemann to Einstein

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