The Non-Euclidean Revolution
Seiten
1999
|
Corrected 1986. Corr. 2nd Prin ed.
Birkhauser Boston Inc (Verlag)
978-0-8176-3311-0 (ISBN)
Birkhauser Boston Inc (Verlag)
978-0-8176-3311-0 (ISBN)
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In a lively, entertaining and highly accessible style, Richard Trudeau's book provides one of the most stimulating and personal presentations of a struggle with the nature of truth in mathematics and the physical world.
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.
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.
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.
| Erscheint lt. Verlag | 11.5.1999 |
|---|---|
| Zusatzinfo | 255 black & white illustrations, biography |
| Verlagsort | Secaucus |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik | |
| Naturwissenschaften | |
| Sozialwissenschaften | |
| ISBN-10 | 0-8176-3311-1 / 0817633111 |
| ISBN-13 | 978-0-8176-3311-0 / 9780817633110 |
| Zustand | Neuware |
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