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.
Inhalt
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.
Titel
The Four-Color Theorem
Untertitel
History, Topological Foundations, and Idea of Proof
Autor
Übersetzer
EAN
9781461217206
Format
E-Book (pdf)
Hersteller
Veröffentlichung
06.12.2012
Digitaler Kopierschutz
Wasserzeichen
Anzahl Seiten
260
Unerwartete Verzögerung
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