Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Books on Mathematics)
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Type
Book
Authors
ISBN 10
0486252027
ISBN 13
9780486252025
Category
Mathematics
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Publication Year
1986
Publisher
Pages
96
Description
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.In taxicab geometry, the shortest distance between two points is not a straight line. Distance is not measured as the crow flies, but as a taxicab travels the "grid" of the city street, from block to block, vertically and horizontally, until the destination is reached. Because of this non-Euclidean method of measuring distance, some familiar geometric figures are transmitted: for example, circles become squares.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. - from Amzon
Number of Copies
1
Library | Accession No | Call No | Copy No | Edition | Location | Availability |
---|---|---|---|---|---|---|
Main | 304 |
LC: QA685.K7 DC: 516.9 |
1 | Engineering Library | Yes |