The non-Euclidean revolution
著者
書誌事項
The non-Euclidean revolution
Birkhäuser, c1987
- : us
- : sz
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注記
Bibliography: p. 261-262
Includes index
内容説明・目次
- 巻冊次
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: us ISBN 9780817633110
内容説明
Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution. First, the author analyzes geometry in its historical and philosophical setting; second, he examines a revolution every bit as significant as the Copernican revolution in astronomy and the Darwinian revolution in biology; third, on the most speculative level, he questions the possibility of absolute knowledge of the world. A portion of the book won the Polya Prize, a distinguished award from the Mathematical Association of America.
目次
First Things.- Euclidean Geometry.- Geometry and the Diamond Theory of Truth.- The Problem With Postulate 5.- The Possibility of Non-Euclidean Geometry.- Hyperbolic Geometry.- Consistency.- Geometry and the Story Theory of Truth.
- 巻冊次
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: sz ISBN 9783764333119
内容説明
This is the story of the 2100-year intellectual adventure which led to the new geometry's invention. After recounting the origin of deductive geometry in Ancient Greece, the book reviews its fundamentals, using Euclid's original treatise. It then discusses the events that led to the invention of a geometry that contradicts Euclidean geometry. The work concludes by discussing how the invention of non-Euclidean geometry has changed mathematicians' view of their subject, and contributed to the emergence of a new theory of knowledge.
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