Taxicab Geometry: Adventure in Non-Euclidean Geometry (Dover Books on MaTHEMA 1.4tics)

Eugene F. Krause

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Sprache: Englisch

Verlag: Dover Publications Inc., United States, Tunbridge Wells, 2003

0486252027 / 9780486252025

Serie: Buch 65 von 303 - Dover Books on Mathematics

  • Softcover
  • Gebraucht
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Artikelbeschreibung des Verkäufers

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. . The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged.…

Bestandsnummer des Verkäufers GOR003822141

Titel
Taxicab Geometry: Adventure in Non-Euclidean Geometry (Dover Books on MaTHEMA 1.4tics)
Autor
Eugene F. Krause
Verlag
Dover Publications Inc., United States, Tunbridge Wells
Erscheinungsjahr
2003
Zustand
Very Good
Einband
Paperback
Sprache
Englisch
ISBN-10
0486252027
ISBN-13
9780486252025
Artikelgewicht
132 Gramm
Abmessungen
140.0 x 220.0
Serie
Buch 65 von 303: Dover Books on Mathematics

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Verkäufer:in bei AbeBooks seit 16. März 2007

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