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

By (author) Fritsch, Rudolf; By (author) Fritsch, Gerda; Translated by Peschke, Julie

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.

「Nielsen BookData」より

[目次]

  • 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.

「Nielsen BookData」より

この本の情報

書名 The Four-Color Theorem : History, Topological Foundations, and Idea of Proof
著作者等 Fritsch, Gerda
Peschke, Julie
Fritsch, Rudolf
書名別名 History, Topological Foundations, and Idea of Proof
出版元 Springer-Verlag New York Inc.
刊行年月 2012.10.23
ページ数 276p
大きさ H235 x W155
ISBN 9781461272540
言語 英語
出版国 アメリカ合衆国
この本を: 
このエントリーをはてなブックマークに追加

このページを印刷

外部サイトで検索

この本と繋がる本を検索

ウィキペディアから連想