Overview

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. “...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

Full Product Details

Author:   Richard J. Trudeau
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   1st ed. 2001. 2nd printing 2008
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   0.900kg
ISBN:  

9780817647827

ISBN 10:   0817647821
Pages:   270
Publication Date:   21 January 2008
Audience:   College/higher education ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Reviews

From the reviews: <p> 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 <p>.,. 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 <p> In The Non-Euclidean Revolution, we have a mathematically rigorous explanation of a ] sea change in mathematics which is at the same time suitable for any educated reader. a ] I have found that this book achieves my goal of bringing some serious mathematics into our honors program and Trudeaua (TM)s goal of bringing his readers through the 19th century revolution brought about by an alternative to Euclida (TM)s geometry. a ] Trudeaua (TM)s book shines as a guide to that revolution. (Mark Bollman, MathDL, May, 2008)

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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