Background
Krause, Eugene Franklin was born on April 7, 1937 in Kenosha, Wisconsin, United States. Son of Karl John and Ottilie Anna (Knopf) Krause.
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book
Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Books on Mathematics)
( This entertaining, stimulating textbook offers anyone f...)
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.
http://www.amazon.com/gp/product/0486252027/?tag=2022091-20
Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Books on Mathematics) by Eugene F. Krause (1987-01-01)
http://www.amazon.com/gp/product/B01N5JMN4W/?tag=2022091-20
Eugene Franklin Krause
Edit ProfileEducation
Bachelor of Science, University Wisconsin, 1959; Master of Sciences, University Wisconsin, 1960; Doctor of Philosophy, University Wisconsin, 1963.
Career
Instructor mathematics, University of Michigan, Ann Arbor, 1963-1965; assistant professor, University of Michigan, Ann Arbor, 1965-1969; associate professor, University of Michigan, Ann Arbor, 1969-1977; professor, University of Michigan, Ann Arbor, since 1977; associate department chairman, University of Michigan, Ann Arbor, 1975-1979.
Achievements
Works
book
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Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Books on Mathematics)
( This entertaining, stimulating textbook offers anyone f...)
- Taxicab Geometry: An Adventure in Non-Euclidean Geometry by Krause, Eugene F. published by Dover Publications (1987) Paperback
- Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Books on Mathematics) by Eugene F. Krause (1987-01-01)
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Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Books on Mathematics)
Membership
Member National Council Teachers of Mathematics.
Connections
Married Jane Eleanor Thomas, August 9, 1959. Children— Edward Karl, Thomas Frederick.
