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American Poems: Books: Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Books on Mathematics)
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 Home » Books » Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Books on Mathematics)

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

  • List Price: $6.95
  • Buy New: $3.61
  • as of 9/17/2014 09:17 EDT details
  • You Save: $3.34 (48%)
In Stock
New (33) Used (41) from $0.94
  • Seller:pbshopus
  • Sales Rank:96,684
  • Languages:English (Unknown), English (Original Language), English (Published)
  • Media:Paperback
  • Number Of Items:1
  • Pages:96
  • Shipping Weight (lbs):0.3
  • Dimensions (in):8.5 x 5.5 x 0.3
  • Publication Date:January 1, 1987
  • ISBN:0486252027
  • EAN:9780486252025
  • ASIN:0486252027
Availability:Usually ships in 1-2 business days


Editorial Reviews:
Synopsis

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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