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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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所在地:Aurora, Illinois, 美國
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物品細節
- 物品狀況
- 良好
- 賣家備註
- Binding
- Paperback
- Weight
- 0 lbs
- Product Group
- Book
- IsTextBook
- Yes
- ISBN
- 0486252027
- Subject Area
- Mathematics, Science
- Publication Name
- Taxicab Geometry : an Adventure in Non-Euclidean Geometry
- Publisher
- Dover Publications, Incorporated
- Item Length
- 8.7 in
- Subject
- Geometry / Non-Euclidean, Earth Sciences / Geography, Geometry / General
- Publication Year
- 1987
- Series
- Dover Books on Mathematics Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.3 in
- Item Weight
- 4.6 Oz
- Item Width
- 5.5 in
- Number of Pages
- 96 Pages
關於產品
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486252027
ISBN-13
9780486252025
eBay Product ID (ePID)
127388579
Product Key Features
Number of Pages
96 Pages
Publication Name
Taxicab Geometry : an Adventure in Non-Euclidean Geometry
Language
English
Subject
Geometry / Non-Euclidean, Earth Sciences / Geography, Geometry / General
Publication Year
1987
Type
Textbook
Subject Area
Mathematics, Science
Series
Dover Books on Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.3 in
Item Weight
4.6 Oz
Item Length
8.7 in
Item Width
5.5 in
Additional Product Features
Intended Audience
College Audience
LCCN
86-013480
Dewey Edition
19
Dewey Decimal
516.9
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
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., Fascinating, accessible introduction to unusual mathematical system in which distance is not measured by straight lines. Illustrated topics include applications to urban geography and comparisons to Euclidean geometry. Selected answers to problems., Fascinating, accessible introduction to unusual mathematical system in which distance is not measured by straight lines. Topics include applications to urban geography and planning plus comparisons to Euclidean geometry. Every principle is illustrated and clarified with numerous research problems, exercises, and graphs. Selected answers to problems.
LC Classification Number
QA685.K7 1
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