Synopsis
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.
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Review
Reviews of this edition 'a very readable book that is stimulating and thought provoking.' New Scientist
From reviews of the first edition `Jeremy Gray has provided a superb exposition which tells a good story.' Mathematics Teaching
'This promises to become a classic text for those interested in considering changing mathematical perceptions of space. Gray's book is a pleasure to read.' Historia Mathematica
`An admirable exposition for well-educated laymen of the evolution of geometrical thought from before Euclid to black holes.' American Mathematical Monthly
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Ideas of Space: Euclidean, non-Euclidean, and Relativistic
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Oxford University Press, 1989
ISBN 10: 0198539347
ISBN 13: 9780198539346
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Paperback. Condition: Good. No Jacket. Former library book; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. Seller Inventory # G0198539347I3N10
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Ideas of Space: Euclidean, Non-Euclidean and Relativistic
Published by
Oxford University Press, 1989
ISBN 10: 0198539347
ISBN 13: 9780198539346
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Paperback
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Paperback. Condition: Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Seller Inventory # GOR010533022
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Ideas of Space: Euclidean, Non-Euclidean and Relativistic
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Condition: Fair. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:9780198539346. Seller Inventory # 2928673
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Ideas of Space: Euclidean, Non-Euclidean, and Relativistic
Seller: Fundus-Online GbR Borkert Schwarz Zerfaß, Berlin, Germany
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, Hardcover/Pappeinband. Condition: Sehr gut. 253 Seiten Fresh and clean hardcover copy. With original dustjacket. Neuwertiges und sauberes Hardcover-Exemplar. Mit Original-Schutzumschlag. Contents: Part I - Early Geometry - Incommensurability - Euclidean Geometry and the Parallel Postulate - Part 2 - Saccheri and his Western Predecessors - J. H. Lambert s Work - Legendre s Work - Gauss s Contribution - Trigonometry - The first new geometries - The discoveries of Lobachevskii and Bolyai - Curves and Surfaces - Riemann on the foundations of geometry - Beltrami s ideas - new modesl and old arguments - Resume - Part 3 - Non-Euclidean mechanics - The question of absolute space - space, time and space-time - Paradoxes of special relativity - Gravitation and non-Euclidean geometry - Speculations - Some last thoughts ISBN 9780198539346 Sprache: Englisch Gewicht in Gramm: 428. Seller Inventory # 1267934
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Ideas of Space: Euclidean, non-Euclidean, and Relativistic
Published by
Oxford University Press, USA, 1989
ISBN 10: 0198539347
ISBN 13: 9780198539346
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Condition: new. Seller Inventory # 10E50_76_0198539347