Rudolf & Gerda Fritsch The Four-Color Theorem History Topological Foundations

Description: 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?" Rudolf & Gerda Fritsch The Four-Color Theorem History Topological Foundations Description Up For Sale Today is The Four-Color Theorem History, Topological Foundations, and Idea of Proof by Rudolf & Gerda Fritsch Translated by Julie Peschke 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?" OUR MISSION STATEMENT: Our goal is to provide the best books for the lowest prices. We understand that you have more choices than ever to buy books, so we strive to provide the best service, accurate descriptions, the cheapest shipping and the best customer service in the realm of bookselling. Thank you for visiting this listing and we hope to see you again soon! Book formats and corresponding sizes Name Abbreviations Leaves Pages Approximate cover size (width × height) inches cm folio 2º or fo 2 4 12 × 19 30.5 × 48 quarto 4º or 4to 4 8 9½ × 12 24 × 30.5 octavo 8º or 8vo 8 16 6 × 9 15 × 23 duodecimo or twelvemo 12º or 12mo 12 24 5 × 7⅜ 12.5 × 19 sextodecimo or sixteenmo 16º or 16mo 16 32 4 × 6¾ 10 × 17 octodecimo or eighteenmo 18º or 18mo 18 36 4 × 6½ 10 × 16.5 trigesimo-secundo or thirty-twomo 32º or 32mo 32 64 3½ × 5½ 9 × 14 quadragesimo-octavo or forty-eightmo 48º or 48mo 48 96 2½ × 4 6.5 × 10 sexagesimo-quarto or sixty-fourmo 64º or 64mo 64 128 2 × 3 5 × 7.5 ALL ITEMS ARE DESCRIBED TO THE BEST OF MY ABILITY! PLEASE CHECK ALL THE PHOTOS BEFORE BIDDING! PAYMENT IS DUE WITHIN FOUR (4) DAYS OF THE INVOICE! Import duties, taxes and charges are not included in the item price. These charges are the buyer's responsibility. Please check with your country's customs office to determine what these additional costs will be prior to bidding/buying. 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Price: 29.95 USD

Location: Charlottesville, Virginia

End Time: 2024-11-20T03:05:31.000Z

Shipping Cost: 5.99 USD