{"product_id":"taxicab-geometry-an-adventure-in-non-euclidean-geometry-dover-books-on-mathematics","title":"Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Books on Mathematics)","description":"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.\nIn 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.\nHowever, 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.\"\nAs 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.\nThe 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.\u003cbr\u003eASIN: 0486252027\u003cbr\u003eVSKU: BVV.0486252027.G\u003cbr\u003eCondition: Good\u003cbr\u003eAuthor\/Artist:Krause, Eugene F.\u003cbr\u003eBinding: Paperback\u003cbr\u003e\u003cb\u003eNote:\u003c\/b\u003e Any images shown are stock photographs and product may differ from what is shown.  \u003cbr\u003e\u003cb\u003eCondition Notes\u003c\/b\u003e: The item shows wear from consistent use, but it remains in good condition and works perfectly. All pages and cover are intact  including the dust cover, if applicable . Spine may show signs of wear. Pages may include limited notes and highlighting. May NOT include discs, access code or other supplemental materials.  \u003cbr\u003e","brand":"Blue Vase Books","offers":[{"title":"Default Title","offer_id":43500683853885,"sku":"BVV.0486252027.G","price":6.16,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0589\/4225\/9261\/files\/0486252027-0.jpg?v=1787347847","url":"https:\/\/www.bluevasebooks.com\/products\/taxicab-geometry-an-adventure-in-non-euclidean-geometry-dover-books-on-mathematics","provider":"Blue Vase Books","version":"1.0","type":"link"}