The Non-Euclidean RevolutionBook - 1987
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 Pólya Prize, a distinguished award from the Mathematical Association of America.