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Taxicab Geometry: An Adventure in Non-Euclidean Geometry by Krause, Eugene F.
by Krause, Eugene F. | PB | Good
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eBay item number:193648150112
Item specifics
- Condition
- Good
- Seller notes
- Binding
- Paperback
- Weight
- 0 lbs
- Product Group
- Book
- IsTextBook
- Yes
- ISBN
- 0486252027
- Publication Name
- Taxicab Geometry : an Adventure in Non-Euclidean Geometry
- Item Length
- 8.7in
- Publisher
- Dover Publications, Incorporated
- Publication Year
- 1987
- Series
- Dover Books on Mathematics Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.3in
- Item Width
- 5.5in
- Item Weight
- 4.6 Oz
- Number of Pages
- 96 Pages
About this product
Product Information
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.
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486252027
ISBN-13
9780486252025
eBay Product ID (ePID)
127388579
Product Key Features
Publication Name
Taxicab Geometry : an Adventure in Non-Euclidean Geometry
Format
Trade Paperback
Language
English
Publication Year
1987
Series
Dover Books on Mathematics Ser.
Type
Textbook
Number of Pages
96 Pages
Dimensions
Item Length
8.7in
Item Height
0.3in
Item Width
5.5in
Item Weight
4.6 Oz
Additional Product Features
Lc Classification Number
Qa685.K7 1
Edition Description
Reprint,New Edition
Table of Content
1 what is taxicab geometry? 2 some applications 3 some geometric figures 4 distance from a point to a line 5 triangles 6 further applications to urban geography 7 some directions for further research appendix taxicab geometry and euclidean geometry compared selected answers index
Topic
Geometry / Non-Euclidean, Earth Sciences / Geography, Geometry / General
Lccn
86-013480
Dewey Decimal
516.9
Intended Audience
College Audience
Dewey Edition
19
Genre
Science, Mathematics
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eBay item number:193648150112
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