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The Four-Color Theorem

History, Topological Foundations, and Idea of Proof

Paperback Engels 2012 9781461272540
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Samenvatting

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.

Specificaties

ISBN13:9781461272540
Taal:Engels
Bindwijze:paperback
Aantal pagina's:260
Uitgever:Springer New York

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Inhoudsopgave

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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          The Four-Color Theorem