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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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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Add this copy of The Four-Color Theorem: History, Topological to cart. $51.65, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2012 by Springer.
Add this copy of The Four-Color Theorem: History, Topological to cart. $80.09, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2012 by Springer.
Add this copy of The Four-Color Theorem: History, Topological to cart. $117.57, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2012 by Springer.
Add this copy of The Four-Color Theorem History, Topological Foundations to cart. $29.95, very good condition, Sold by Last Exit Books rated 4.0 out of 5 stars, ships from Charlottesville, VA, UNITED STATES, published 1998 by Springer.
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Seller's Description:
Very Good. Hardcover. 8vo. Published by Springer, New York, 1998. Xvi, 260 pages. Second Printing. Bound in cloth boards with titles present to the spine and front board. Boards have light shelf-wear present to the extremities. No ownership marks present. Text is clean and free of marks. Binding tight and solid. "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? "; 9.5 X 6.4 X 0.7 inches; 260 pages.
Add this copy of The Four-Color Theorem: History, Topological to cart. $46.48, very good condition, Sold by ThriftBooks-Atlanta rated 5.0 out of 5 stars, ships from Brownstown, MI, UNITED STATES, published 1998 by Springer.
Add this copy of The Four-Color Theorem: History, Topological to cart. $46.48, very good condition, Sold by ThriftBooks-Reno rated 5.0 out of 5 stars, ships from Reno, NV, UNITED STATES, published 1998 by Springer.
Add this copy of The Four-Color Theorem: History, Topological to cart. $46.50, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 1998 by Springer.
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Add this copy of The Four-Color Theorem to cart. $50.89, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 1998 by Springer.
Add this copy of The Four-Color Theorem to cart. $55.69, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 1998 by Springer.
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