Ideas of Space: Euclidean, Non-Euclidean, and Relativistic by Jeremy GrayIdeas of Space: Euclidean, Non-Euclidean, and Relativistic by Jeremy Gray

Ideas of Space: Euclidean, Non-Euclidean, and Relativistic

byJeremy Gray

Hardcover | April 30, 1999

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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 ofmodern 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.
Jeremy Gray is at Open University.
Title:Ideas of Space: Euclidean, Non-Euclidean, and RelativisticFormat:HardcoverDimensions:254 pages, 9.21 × 6.14 × 0.75 inPublished:April 30, 1999Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198539355

ISBN - 13:9780198539353

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Editorial Reviews

`An admirable exposition for well-educated laymen of the evolution of geometrical thought from before Euclid to black holes.' American Mathematical Monthly