Taxicab Geometry / Dover Publications (ePub)
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,...
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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.
- Autor: Eugene F. Krause
- 2012, 96 Seiten, Englisch
- Verlag: Dover Publications
- ISBN-10: 048613606X
- ISBN-13: 9780486136066
- Erscheinungsdatum: 30.04.2012
Abhängig von Bildschirmgrösse und eingestellter Schriftgrösse kann die Seitenzahl auf Ihrem Lesegerät variieren.
- Dateiformat: ePub
- Grösse: 4.53 MB
- Mit Kopierschutz
Die Ernährungs-Docs - Zuckerfrei gesünder leben
Anne Dr. med. Fleck, Jörn Klasen, MATTHIAS DR. MED. RIEDL, Silja Schäfer
Statt Fr. 26.95 5
Fr. 19.95 4
Ein verheissenes Land
Barack Obama
Statt Fr. 54.95
Fr. 45.95
Die Frau zwischen den Welten
Hera Lind
Statt Fr. 14.95 19
Fr. 14.00
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