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Modern Birkhäuser Classics
cover

The Non-Euclidean Revolution

Authors: Trudeau, Richard J.

  • Provides a non-technical introduction to geometry
  • Gives an entertaining history of an important subject in modern mathematics
  • Discusses questions about the very nature of mathematics
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Softcover 62,39 €
price for Spain (gross)
  • ISBN 978-0-8176-4782-7
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  • Immediate ebook access, if available*, with your print order
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About this Textbook

How unique and definitive is Euclidean geometry in describing the "real" space in which we live?

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.

Trudeau writes in a lively, entertaining, and highly accessible style. His book provides one of the most stimulating and personal presentations of a struggle with the nature of truth in mathematics and the physical world. A portion of the book won the Pólya Prize, a distinguished award from the Mathematical Association of America.

"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 (review of 1st edition)

"...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

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)


Buy this book

Softcover 62,39 €
price for Spain (gross)
  • ISBN 978-0-8176-4782-7
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules

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Bibliographic Information

Bibliographic Information
Book Title
The Non-Euclidean Revolution
Authors
Series Title
Modern Birkhäuser Classics
Copyright
2008
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
Softcover ISBN
978-0-8176-4782-7
Series ISSN
2197-1803
Edition Number
1
Number of Pages
XVI, 270
Number of Illustrations
255 b/w illustrations
Additional Information
Originally published as a monograph
Topics

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