The non-Euclidean revolution
Author(s)
Bibliographic Information
The non-Euclidean revolution
（Modern Birkhäuser classics）
Birkhäuser, c2008
- : pbk.
Available at 1 libraries
Note
Reprint of the 1987 edition.
Includes bibliographical references (p. 261-262) and index
Description and Table of Contents
Description
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.
Table of Contents
Preface.- Introduction.- 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.- Bibliography.- Index.
by "Nielsen BookData"