{"product_id":"taxicab-geometry-an-adventure-in-non-euclidean-geometry-dover-books-on-mathematics-0486252027","title":"Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Books on Mathematics)","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 0486252027\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Krause, Eugene F.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\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.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.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":52091761885472,"sku":"NEW0486252027","price":9.94,"currency_code":"USD","in_stock":true}],"url":"https:\/\/miakarts.com\/products\/taxicab-geometry-an-adventure-in-non-euclidean-geometry-dover-books-on-mathematics-0486252027","provider":"Miakarts Books","version":"1.0","type":"link"}