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portada Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Books on Mathematics)
Type
Physical Book
Author
Publisher
Year
1987
Language
English
Pages
96
Format
Paperback
Dimensions
21.5 x 13.8 x 0.7 cm
Weight
0.15 kg.
ISBN
0486252027
ISBN13
9780486252025
Categories

Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Books on Mathematics)

Eugene F. Krause (Author) · Dover Publications · Paperback

Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Books on Mathematics) - Krause, Eugene F.

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Synopsis "Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Books on Mathematics) "

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.

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