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Taxicab Geometry: An Adventure in Non-Euclidean Geometry
Paperback
Series: Dover Books on Mathematics
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ISBN13: 9780486252025
Publisher: Dover Publications
Published: Jan 1 1987
Pages: 96
Weight: 0.33
Height: 0.27 Width: 5.45 Depth: 8.48
Language: English
This entertaining, stimulating textbook offers anyone familiar with Euclidean geometry -- undergraduate math students, advanced high school students, and puzzle fans of any age -- an opportunity to explore taxicab geometry, a simple, non-Euclidean system that helps put Euclidean geometry in sharper perspective.
However, taxicab geometry has important practical applications. As Professor Krause points out, While Euclidean geometry appears to be a good model of the 'natural' world, taxicab geometry is a better model of the artificial urban world that man has built.
As a result, the book is replete with practical applications of this non-Euclidean system to urban geometry and urban planning -- from deciding the optimum location for a factory or a phone booth, to determining the most efficient routes for a mass transit system.
The underlying emphasis throughout this unique, challenging textbook is on how mathematicians think, and how they apply an apparently theoretical system to the solution of real-world problems.
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