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Ideas of Space - Euclidean, Non-Euclidean, and Relativistic (Hardcover, 2nd Revised edition)
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Ideas of Space - Euclidean, Non-Euclidean, and Relativistic (Hardcover, 2nd Revised edition)
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The history of the development of Euclidean, non-Euclidean, and
relativistic ideas of the shape of the universe, is presented in
this lively account by Jeremy Gray. The parallel postulate of
Euclidean geometry occupies a unique position in the history of
mathematics. In this book, Jeremy Gray reviews the failure of
classical attempts to prove the postulate and then proceeds to show
how the work of Gauss, Lobachevskii, and Bolyai, laid the
foundations of modern differential geometry, by constructing
geometries in which the parallel postulate fails. These
investigations in turn enabled the formulation of Einstein's
theories of special and general relativity, which today form the
basis of our conception of the universe. The author has made every
attempt to keep the pre-requisites to a bare minimum. This
immensely readable account, contains historical and mathematical
material which make it suitable for undergraduate students in the
history of science and mathematics. For the second edition, the
author has taken the opportunity to update much of the material,
and to add a chapter on the emerging story of the Arabic
contribution to this fascinating aspect of the history of
mathematics.
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