Abbot – The Annotated Flatland
General:
Name: Abbot – The Annotated Flatland
Format: pdf
Size: 2.26 MB
Book:
Title: The Annotated Flatland: A Romance of Many Dimensions
Author: Ian Stewart
Language: angielski
Year: 2012
Subjects: Mathematics, Science, Nonfiction, Geography
Publisher: Dover Publications
ISBN: 9780486252025
Total pages: 272
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. 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.
Download from RapidGator
https://rapidgator.net/file/dd4b6cf9ccd4e7bcd8585637a5266856/8d8q1fawan7ed561hb2j08.pdf