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

Fritsch, Gerda; Fritsch, Rudolf

 
9780387984971: The Four-Color Theorem: History, Topological Foundations, and Idea of Proof
Hardcover
ISBN 10: 0387984976 ISBN 13: 9780387984971
Verlag: Springer, 1998

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Von der hinteren Coverseite

This elegant little book discusses a famous problem that helped to define the field now known as graph theory: 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 are. Many famous mathematicians have worked on the problem, but the proof eluded formulation until the 1970s, when it was finally cracked with a brute-force approach using a computer. The Four-Color Theorem begins by discussing the history of the problem up to the new approach given in the 1990s (by Neil Robertson, Daniel Sanders, Paul Seymour, and Robin Thomas). The book then goes into the mathematics, with a detailed discussion of how to convert the originally topological problem into a combinatorial one that is both elementary enough that anyone with a basic knowledge of geometry can follow it and also rigorous enough that a mathematician can read it with satisfaction. The authors discuss the mathematics and point to 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?

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
1998
Sprache
Englisch
ISBN 10 
0387984976
ISBN 13 
9780387984971
Einband
Tapa dura
Anzahl der Seiten
280
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Deutschland

Weitere beliebte Ausgaben desselben Titels

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

Vorgestellte Ausgabe

ISBN 10:  1461272548 ISBN 13:  9781461272540
Verlag: Springer, 2013
Softcover