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Beyond Geometry: Classic Papers from Riemann to Einstein
by Peter Pesic
Eight essays trace seminal ideas about the foundations of geometry that led to the development of Einstein's general theory of relativity. This is the only English-language collection of these important papers, some of which are extremely hard to find. Contributors include Helmholtz, Klein, Clifford, Poincaré, and Cartan.
Paperback, 224 pages
Published December 15th 2006 by Dover Publications
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Going into this book, I didn't have much idea of what exactly Riemann discovered in geometry. It turns out that he came up with the general formulation of geometry that includes both Euclidean and non-Euclidean geometry in any number of dimensions, and defined the curvature of space. (The curvature is zero in Euclidean geometry and positive or negative in non-Euclidean geometries). The essays in this book come from the late nineteenth century to the early twentieth. They trace how different peop ...more