The Four-Color Theorem: History, Topological Foundations, and Idea of Proof
Rudolf Fritsch, Gerda Fritsch, J.lie Peschke, "The Four-Color Theorem: History, Topological Foundations, and Idea of Proof"
1998 | pages: 276 | ISBN: 1461272548, 0387984976 | DJVU | 3 mb
1998 | pages: 276 | ISBN: 1461272548, 0387984976 | DJVU | 3 mb
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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