{"product_id":"taxicab-geometry-an-adventure-in-non-euclidean-geometry-9780486252025","title":"Taxicab Geometry: An Adventure in Non-Euclidean Geometry","description":"\u003cp\u003e • Author(s): Eugene F. Krause\u003cbr\u003e • Publisher: Dover Publications\u003cbr\u003e • Publisher Imprint: Dover Publications\u003cbr\u003e • BISAC: Geometry - Non-Euclidean\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\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","brand":"Atlantic Books","offers":[{"title":"Paperback","offer_id":46312270200983,"sku":"9780486252025","price":774.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780486252025.webp?v=1767704703","url":"https:\/\/atlanticbooks.com\/products\/taxicab-geometry-an-adventure-in-non-euclidean-geometry-9780486252025","provider":"Atlantic Books","version":"1.0","type":"link"}