Sinossi
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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Contenuti
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.
Product Description
Book by Fritsch Rudolf Fritsch Gerda
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The Four-Color Theorem History, Topological Foundations, and Idea of Proof
Da: Last Exit Books, Charlottesville, VA, U.S.A.
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Hardcover. Condizione: 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. Codice articolo 71439
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The Four-Color Theorem: History, Topological Foundations, and Idea of Proof
Da: HPB-Red, Dallas, TX, U.S.A.
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hardcover. Condizione: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Codice articolo S_382752665
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The four-color theorem history, topological foundations, and idea of proof Rudolf Fritsch, Gerda Fritsch . .
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New York, Springer [1998]., 1998
ISBN 10: 0387984976
ISBN 13: 9780387984971
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Da: Antiquariat Bookfarm, Löbnitz, Germania
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 05 FRI 9780387984971 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2498595
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The four-color theorem history, topological foundations, and idea of proof Rudolf Fritsch, Gerda Fritsch . .
Editore:
New York, Springer [1998]., 1998
ISBN 10: 0387984976
ISBN 13: 9780387984971
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Rilegato
Da: Antiquariat Bookfarm, Löbnitz, Germania
Valutazione del venditore 5 su 5 stelle
Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 05 FRI 9780387984971 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2502670
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The Four-Color Theorem. History, Topological Foundations, and Idea of Proof.
Editore:
Springer, New York, 1998
ISBN 10: 0387984976
ISBN 13: 9780387984971
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Da: Antiquariat Renner OHG, Albstadt, Germania
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Hardcover. Condizione: Gut. Transl. by Julie Peschke. N.Y., Springer (1998). 42 figs. XVI, 260 p. Hardbound. (edge slightly stained, slightly rubbed).- Incl. bibliography.- Stamp on half title and verso title, otherwise in good condition. Codice articolo 79929
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The Four-Color Theorem
Da: Romtrade Corp., STERLING HEIGHTS, MI, U.S.A.
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Condizione: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Codice articolo ABBB-161526
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The Four-Color Theorem
Da: Basi6 International, Irving, TX, U.S.A.
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Condizione: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Codice articolo ABEOCT25-87051
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The Four-Color Theorem: History, Topological Foundations, and Idea of Proof
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Condizione: Used. pp. xvi + 260 1st Edition. Codice articolo 26296644
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The Four-Color Theorem: History, Topological Foundations, and Idea of Proof
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Condizione: Used. pp. xvi + 260. Codice articolo 7551259
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The Four-Color Theorem: History, Topological Foundations, and Idea of Proof
Da: Biblios, Frankfurt am main, HESSE, Germania
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Condizione: Used. pp. xvi + 260. Codice articolo 18296654
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