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The Four-Color Theorem on Hardback by Rudolf Fritsch
The Four-Color Theorem on Hardback by Rudolf Fritsch
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The Four-Color Theorem

History, Topological Foundations, and Idea of Proof
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$265.00
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Description

This elegant little book discusses a famous problem that helped to define the field now known as topology: What is the minimum number of colors required to print a map such that no two adjoining countries have the same color, no matter how convoluted their boundaries. Many famous mathematicians have worked on the problem, but the proof eluded fomulation until the 1950s, when it was finally cracked with a brute-force approach using a computer. The book begins by discussing the history of the problem, and then goes into the mathematics, both pleasantly enough that anyone with an elementary knowledge of geometry can follow it, and still with enough rigor that a mathematician can also read it with pleasure. The authors discuss the mathematics as well as the philosophical debate that ensued when the proof was announced: Just what is a mathematical proof, if it takes a computer to provide one - and is such a thing a proof at all?
Release date NZ
August 13th, 1998
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
  • Undergraduate
Illustrations
37 illus.
Pages
276
Dimensions
162x241x18
ISBN-13
9780387984971
Product ID
3833862

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