The Four-Color Theorem
History, Topological Foundations, and Idea of Proof
1st Edition
Published on 1. July 1998
Book
Hardback
XVI, 260 pages
978-0-387-98497-1 (ISBN)
Description
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.
More details
Edition
1., 998
Language
English
Place of publication
New York, NY
United States
Target group
College/higher education
Professional and scholarly
Professional/practitioner
Product notice
sewn/stitched
Cloth over boards
Illustrations
XVI, 260 p., 6 s/w Tabellen
37 illus.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 21 mm
Weight
588 gr
ISBN-13
978-0-387-98497-1 (9780387984971)
DOI
10.1007/978-1-4612-1720-6
Schweitzer Classification
Other editions
Additional editions
Rudolf Fritsch | Gerda Fritsch
The Four-Color Theorem
History, Topological Foundations, and Idea of Proof
Book
10/2012
Springer
€53.49
Shipment within 15-20 days
Persons
Content
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.