The non-Euclidean revolution
著者
書誌事項
The non-Euclidean revolution
Birkhäuser, c1999
- : pbk. : us
- : pbk. : sz
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注記
Bibliography: p. 261-262
Includes index
内容説明・目次
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.
Trudeau writes in a lively, entertaining, and highly accessible style. His book provides one of the most stimulating and personal presentations of a struggle with the nature of truth in mathematics and the physical world.
目次
Preface.-Introduction.-First Things.-Euclidean Geometry.-Geometry and the Diamond Theory of Truth.-The Problem of Postulate Truth.-The Possibility of Non-Euclidean Geometry.-Hyperbolic Geometry.-Consistency.-Geometry and the Story Theory of Truth.-Bibliography.-Index.
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