Beyond Geometry: Classic Papers from Riemann to EinsteinCourier Corporation, 01.01.2007 - 209 Seiten 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 Poincaré; "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. |
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
aggregate analytic angles assume Bernhard Riemann called Clifford concept of space consider constant constructed continuous continuum coordinates correspond curved definition determined differential direction displacement distance ds² dx² Einstein electromagnetic equal equations essay ether Euclid Euclidean geometry Euclidean space existence experience expression external change field figures finite function fundamental Gauss geodesic given gravitational Helmholtz hypotheses idea independent infinitely small infinity invariant Klein laws lecture line element Lobachevsky magnitude mathematical means measure of curvature metric relations motion muscular sensations nature non-Euclidean geometry number of dimensions objects Olympia Academy parallel parallel postulate physical Poincaré position possible postulate problem projective geometry properties propositions pseudospherical space pseudospherical surface Pythagorean Theorem quantities quantum question Riemann Riemannian geometry right line rigid bodies rotation rotative sub-group sheaf shortest line solid body space-time spatial sphere spherical surface straight line suppose theorem theory of relativity three dimensions translated triangle variable