The Four-Color Theorem: "History, Topological Foundations, And Idea Of Proof" - Brossura

Fritsch, Rudolf

 
9781461272540: The Four-Color Theorem: "History, Topological Foundations, And Idea Of Proof"

Sinossi

This 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 so that no two adjoining countries have the same color? This problem remained unsolved until the 1950s, when it was finally cracked using a computer. This book discusses the history and mathematics of the problem, as well as the philosophical debate which ensued, regarding the validity of computer generated proofs.

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Contenuti

1 History.- 2 (Topological) Maps.- 3 The Four-Color Theorem (Topological Version).- 4 Topology to Combinatorics.- 5 The Four-Color Theorem (Combinatorial Version).- 6 Reducibility.- 7 The Quest for Unavoidable Sets.- Works of Reference.

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Altre edizioni note dello stesso titolo

9780387984971: The Four-Color Theorem: History, Topological Foundations, and Idea of Proof

Edizione in evidenza

ISBN 10:  0387984976 ISBN 13:  9780387984971
Casa editrice: Springer Nature, 1998
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