Overview

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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9780817633110

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Reviews

From the reviews: Trudeau meets the challenge of reaching a broad audience in clever ways...(The book) is a good addition to our literature on non-Euclidean geometry and it is recommended for the undergraduate library. --Choice, February 1988 ...the author, in this remarkable book, describes in an incomparable way the fascinating path taken by the geometry of the plane in its historical evolution from antiquity up to the discovery of non-Euclidean geometry. This 'non-Euclidean revolution', in all its aspects, is described very strikingly here...Many illustrations and some amusing sketches complement the very vividly written text. --Mathematical Reviews In The Non-Euclidean Revolution, we have a mathematically rigorous explanation of ... sea change in mathematics which is at the same time suitable for any educated reader. ... I have found that this book achieves my goal of bringing some serious mathematics into our honors program and Trudeau's goal of bringing his readers through the 19th century revolution brought about by an alternative to Euclid's geometry. ... Trudeau's book shines as a guide to that revolution. (Mark Bollman, MathDL, May, 2008)

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