{"product_id":"taxicab-geometry-an-adventure-in-non-euclidean-geometry-9780486252025","title":"Taxicab Geometry: An Adventure in Non-Euclidean Geometry","description":"\u003cp\u003eThis 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.\u003cbr\u003eIn 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.\u003cbr\u003eHowever, 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.\"\u003cbr\u003eAs 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.\u003cbr\u003eThe 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.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Dover Publications\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 01\/01\/1987\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780486252025\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 96\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.33lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.48h x 5.45w x 0.27d","brand":"Eugene F. Krause","offers":[{"title":"Default Title","offer_id":36637687873692,"sku":"9780486252025","price":6.76,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0473\/0804\/6492\/products\/img_d4e2ecf7-d08e-480c-8096-190d1b91ce74.jpg?v=1603845434","url":"https:\/\/pastforward.org\/products\/taxicab-geometry-an-adventure-in-non-euclidean-geometry-9780486252025","provider":"Past Forward","version":"1.0","type":"link"}