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

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9780486252025: Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Books on Mathematics)

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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Krause, Eugene F.
ISBN 10: 0486252027 ISBN 13: 9780486252025
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Descripción 1987. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería V0-9780486252025

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Krause, Eugene F.
Editorial: Dover Publications (1987)
ISBN 10: 0486252027 ISBN 13: 9780486252025
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Descripción Dover Publications, 1987. Paperback. Estado de conservación: New. Never used!. Nº de ref. de la librería 0486252027

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Krause, Eugene F.
Editorial: Dover Publications (1987)
ISBN 10: 0486252027 ISBN 13: 9780486252025
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Descripción Dover Publications, 1987. Paperback. Estado de conservación: New. Brand New!. Nº de ref. de la librería 0486252027

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Eugene F. Krause
Editorial: Dover Publications Inc., United States (1987)
ISBN 10: 0486252027 ISBN 13: 9780486252025
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Descripción Dover Publications Inc., United States, 1987. Paperback. Estado de conservación: New. New edition. Language: English . Brand New Book. 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. Nº de ref. de la librería AAC9780486252025

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Eugene F. Krause
Editorial: Dover Publications Inc., United States (1987)
ISBN 10: 0486252027 ISBN 13: 9780486252025
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Descripción Dover Publications Inc., United States, 1987. Paperback. Estado de conservación: New. New edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Nº de ref. de la librería BTE9780486252025

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Eugene F. Krause
Editorial: Dover Publications Inc., United States (1987)
ISBN 10: 0486252027 ISBN 13: 9780486252025
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The Book Depository
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Descripción Dover Publications Inc., United States, 1987. Paperback. Estado de conservación: New. New edition. Language: English . Brand New Book. 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. Nº de ref. de la librería AAC9780486252025

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Descripción 1987. PAP. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería IB-9780486252025

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Descripción Dover Publishers. Estado de conservación: New. Brand New. Nº de ref. de la librería 0486252027

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Descripción Dover Publications. PAPERBACK. Estado de conservación: New. 0486252027. Nº de ref. de la librería Z0486252027ZN

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