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

Gray, Jeremy

ISBN 10: 0198539347 / ISBN 13: 9780198539346

Verlag: Oxford University Press, 1989

New Copy. Customer Service Guaranteed. Bestandsnummer des Verkäufers 46J83_26_0198539347

Inhaltsangabe:

The parallel postulate of Euclidean geometry occupies a unique position in the history of mathematics. This is an account of the history of the development of Euclidean, non-Euclidean and relativistic ideas of the shape of the universe. The author reviews the failure of classical attempts to prove the postulate, before showing how the work of Gauss, Lobachevskii and Bolyai laid the foundations of modern differential geometry by constructing geometries in which the parallel postulate fails. The material, which has been revised and updated for this edition, includes a chapter on the Arabic contribution to mathematical history.

Reseña del editor: The parallel postulate of Euclidean geometry occupies a unique position in the history of mathematics. This is an account of the history of the development of Euclidean, non-Euclidean and relativistic ideas of the shape of the universe. The author reviews the failure of classical attempts to prove the postulate, before showing how the work of Gauss, Lobachevskii and Bolyai laid the foundations of modern differential geometry by constructing geometries in which the parallel postulate fails. The material, which has been revised and updated for this edition, includes a chapter on the Arabic contribution to mathematical history.

Bibliografische Details

Titel: Ideas of Space: Euclidean, non-Euclidean, ...
Verlag: Oxford University Press
Erscheinungsdatum: 1989
Einband: Paperback
Zustand: new
Auflage: 2. Auflage