The Four-Color Theorem: History, Topological Foundations, and Idea of Proof by R

Description: The Four-Color Theorem by Rudolf Fritsch, Gerda Fritsch, J.lie Peschke During the university reform of the 1970s, the classical Faculty of Science of the venerable Ludwig-Maximilians-Universitat in Munich was divided into five smaller faculties. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description During the university reform of the 1970s, the classical Faculty of Science of the venerable Ludwig-Maximilians-Universitat in Munich was divided into five smaller faculties. One was for mathematics, the others for physics, chemistry and pharmaceutics, biology, and the earth sciences. Nevertheless, in order to maintain an exchange of ideas between the various disciplines and so as not to permit the complete undermining of the original notion of "universitas,,,l the Carl-Friedrich-von-Siemens Foundation periodically invites the pro fessors from the former Faculty of Science to a luncheon gathering. These are working luncheons during which recent developments in the various disciplines are presented by means of short talks. The motivation for such talks does not come, in the majority of cases, from the respective subject itself, but from another discipline that is loosely affiliated with it. In this way, the controversy over the modern methods used in the proof of the Four-Color Theorem had also spread to disciplines outside of mathematics. I, as a trained algebraic topologist, was asked to comment on this. Naturally, I was acquainted with the Four-Color 1 A Latin word meaning the whole of something, a collective entirety. Vll viii Preface Problem but, up to that point, had never intensively studied it. As an outsider,2 I dove into the material, not so much to achieve any scientific progress with it but to make this already achieved objective more understandable. Table of Contents 1 History.- 2 (Topological) Maps.- 3 The Four-Color Theorem (Topological Version).- 4 Topology to Combinatorics.- 5 The Four-Color Theorem (Combinatorial Version).- 6 Reducibility.- 7 The Quest for Unavoidable Sets.- Works of Reference. Promotional Springer Book Archives Long Description During the university reform of the 1970s, the classical Faculty of Science of the venerable Ludwig-Maximilians-Universitat in Munich was divided into five smaller faculties. One was for mathematics, the others for physics, chemistry and pharmaceutics, biology, and the earth sciences. Nevertheless, in order to maintain an exchange of ideas between the various disciplines and so as not to permit the complete undermining of the original notion of "universitas,,,l the Carl-Friedrich-von-Siemens Foundation periodically invites the pro Description for Sales People This elegant little book discusses the famous problem concerning the minimum number of colors required to print a map such that no two adjoining countries have the same color, no matter how convoluted the boundaries; this is one of the problems that came to define the field now known as topology. The book begins by discussing the history of the problem, and then goes into the mathematics, pleasantly enough that anyone with an elementary knowledge of geometry can follow it, but with enough rigor that a mathematician can also read it with pleasure. Details ISBN1461272548 Author J.lie Peschke Pages 260 Language English ISBN-10 1461272548 ISBN-13 9781461272540 Media Book Format Paperback DEWEY 514 Short Title 4-COLOR THEOREM SOFTCOVER REPR Year 2012 Publication Date 2012-10-23 Imprint Springer-Verlag New York Inc. Subtitle History, Topological Foundations, and Idea of Proof Place of Publication New York, NY Country of Publication United States DOI 10.1007/978-1-4612-1720-6 Translator J.lie Peschke UK Release Date 2012-10-23 AU Release Date 2012-10-23 NZ Release Date 2012-10-23 US Release Date 2012-10-23 Publisher Springer-Verlag New York Inc. Edition Description Softcover reprint of the original 1st ed. 1998 Alternative 9780387984971 Illustrations XVI, 260 p. Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96344678;

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