Rudolf Fritsch, Gerda Fritsch

The Four-Color Theorem (eBook, PDF)

History, Topological Foundations, and Idea of Proof
Übersetzer: Peschke, J. Lie

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 260
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461217206
• Artikelnr.: 44178951

Inhaltsangabe

It's History.- Topological maps.- Topological Version of The Four-Color Theorem.- From Topology to Combinatorics.- The Combinatorial Version of The Four-Color Theorem.- Reducibility.- The Quest for Unavoidable Sets.

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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.