Fritsch, Rudolf 1939
Overview
Works:  23 works in 89 publications in 3 languages and 1,270 library holdings 

Genres:  Conference papers and proceedings History Exhibition catalogs 
Roles:  Author, Editor, Creator 
Publication Timeline
.
Most widely held works by
Rudolf Fritsch
The four color theorem : history, topological foundations, and idea of proof by
Rudolf Fritsch(
Book
)
17 editions published between 1998 and 2013 in English and Undetermined and held by 538 WorldCat member libraries worldwide
"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 bruteforce approach using a computer." "The FourColor 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?"Jacket
17 editions published between 1998 and 2013 in English and Undetermined and held by 538 WorldCat member libraries worldwide
"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 bruteforce approach using a computer." "The FourColor 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?"Jacket
Cellular structures in topology by
Rudolf Fritsch(
Book
)
19 editions published between 1989 and 2008 in English and Undetermined and held by 296 WorldCat member libraries worldwide
This book describes the construction and the properties of CWcomplexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type. The authors discuss the foundations and also developments, for example, the theory of finite CWcomplexes, CWcomplexes in relation to the theory of fibrations, and Milnor's work on spaces of the type of CWcomplexes. They establish very clearly the relationship between CWcomplexes and the theory of simplicial complexes, which is developed in great detail. Exercises are provided throughout the book; some are straightforward, others extend the text in a nontrivial way. For the latter; further reference is given for their solution. Each chapter ends with a section sketching the historical development. An appendix gives basic results from topology, homology and homotopy theory. These features will aid graduate students, who can use the work as a course text. As a contemporary reference work it will be essential reading for the more specialized workers in algebraic topology and homotopy theory
19 editions published between 1989 and 2008 in English and Undetermined and held by 296 WorldCat member libraries worldwide
This book describes the construction and the properties of CWcomplexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type. The authors discuss the foundations and also developments, for example, the theory of finite CWcomplexes, CWcomplexes in relation to the theory of fibrations, and Milnor's work on spaces of the type of CWcomplexes. They establish very clearly the relationship between CWcomplexes and the theory of simplicial complexes, which is developed in great detail. Exercises are provided throughout the book; some are straightforward, others extend the text in a nontrivial way. For the latter; further reference is given for their solution. Each chapter ends with a section sketching the historical development. An appendix gives basic results from topology, homology and homotopy theory. These features will aid graduate students, who can use the work as a course text. As a contemporary reference work it will be essential reading for the more specialized workers in algebraic topology and homotopy theory
Der Vierfarbensatz : Geschichte, topologische Grundlagen und Beweisidee by
Rudolf Fritsch(
Book
)
7 editions published in 1994 in German and held by 93 WorldCat member libraries worldwide
7 editions published in 1994 in German and held by 93 WorldCat member libraries worldwide
Zum Feuerbachschen Kreis by
Rudolf Fritsch(
Book
)
9 editions published between 1974 and 1975 in German and held by 76 WorldCat member libraries worldwide
9 editions published between 1974 and 1975 in German and held by 76 WorldCat member libraries worldwide
Proceedings of the 2nd Gauss Symposium. Munich, Germany, August 27, 1993 by
1993, München> Gauss Symposium <2(
Book
)
3 editions published in 1995 in English and held by 47 WorldCat member libraries worldwide
3 editions published in 1995 in English and held by 47 WorldCat member libraries worldwide
Zur Unterteilung semisimplizialer Mengen by
Rudolf Fritsch(
)
4 editions published in 1968 in German and held by 26 WorldCat member libraries worldwide
4 editions published in 1968 in German and held by 26 WorldCat member libraries worldwide
Die Wagnerische Druckerei Ulm : ihr typographisches und verlegerisches Schaffen ; aus Anlaß ihrer Gründung vor 300 Jahren
; Ausstellung der Stadtbibliothek Ulm 1978 by
Stadtbibliothek Ulm(
Book
)
6 editions published in 1978 in German and held by 20 WorldCat member libraries worldwide
6 editions published in 1978 in German and held by 20 WorldCat member libraries worldwide
Affine Räume by
Werner Bos(
Book
)
1 edition published in 1978 in German and held by 18 WorldCat member libraries worldwide
1 edition published in 1978 in German and held by 18 WorldCat member libraries worldwide
Animal anaesthesia by
Melchior Westhues(
Book
)
4 editions published between 1964 and 1965 in English and held by 12 WorldCat member libraries worldwide
4 editions published between 1964 and 1965 in English and held by 12 WorldCat member libraries worldwide
Franz Ernst Nejman, (17981895) : k 200letiju so dnja rozdenija matematika, fizika i kristallografa = Franz Ernst Neumann,
(17981895) : zum 200. Geburtstag des Mathematikers, Physikers und Kristallographen. [Seminar im DeutschRussischen Haus Königsberg
 Kaliningrad, 25. und 26. September 1998. Dies academicus der Arbeitsgemeinschaft für Ost und Westpreußische Landeskunde
im Mathematischen Institut der LudwigsMaximiliansUniversität (München), 4. Dezember 1998](
Book
)
1 edition published in 2005 in Russian and held by 11 WorldCat member libraries worldwide
1 edition published in 2005 in Russian and held by 11 WorldCat member libraries worldwide
Rechenbuch für Volksschulen : Sudetenland by
Rudolf Fritsch(
Book
)
3 editions published in 1943 in German and held by 3 WorldCat member libraries worldwide
3 editions published in 1943 in German and held by 3 WorldCat member libraries worldwide
Die Narkose der Tiere by
Melchior Westhues(
Book
)
in German and held by 3 WorldCat member libraries worldwide
in German and held by 3 WorldCat member libraries worldwide
Die Narkose der Tiere by
Melchior Westhues(
Book
)
1 edition published in 1960 in German and held by 2 WorldCat member libraries worldwide
1 edition published in 1960 in German and held by 2 WorldCat member libraries worldwide
Rechenbücher by
Franz K Ludwig(
Book
)
2 editions published in 1935 in German and held by 2 WorldCat member libraries worldwide
2 editions published in 1935 in German and held by 2 WorldCat member libraries worldwide
Die Narkose der Tiere by
Melchior Westhues(
Book
)
1 edition published in 1961 in German and held by 2 WorldCat member libraries worldwide
anesthetics
1 edition published in 1961 in German and held by 2 WorldCat member libraries worldwide
anesthetics
Über gewichtete Gitterpunktsummen in kreisförmigen Bereichen by
W Freeden(
Book
)
1 edition published in 1978 in German and held by 2 WorldCat member libraries worldwide
1 edition published in 1978 in German and held by 2 WorldCat member libraries worldwide
Index to plant chromosome numbers : Bryophyta ; y R. Fritsch by
Rudolf Fritsch(
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Franc Ėrnst Nejman (17981895) : k 200letiju so dnja roždenija matematika, fizika i kristallografa ; [Seminar im DeutschRussischen
Haus Königsberg  Kaliningrad, 25. und 26. September 1998 ; Dies Academicus der Arbeitsgemeinschaft für Ost und Westpreußische
Landeskunde im Mathematischen Institut der LudwigMaximiliansUniversität (München), 4. Dezember 1998](
Book
)
1 edition published in 2005 in German and held by 1 WorldCat member library worldwide
1 edition published in 2005 in German and held by 1 WorldCat member library worldwide
Ludwigs Rechenbücher by
Franz K Ludwig(
Book
)
1 edition published in 1935 in German and held by 1 WorldCat member library worldwide
1 edition published in 1935 in German and held by 1 WorldCat member library worldwide
Mathematics and Theoretical Physics(
)
3 editions published between 1995 and 2011 in English and held by 0 WorldCat member libraries worldwide
3 editions published between 1995 and 2011 in English and held by 0 WorldCat member libraries worldwide
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Anesthesia Book industries and trade Chromosome numbers Circle Complexes CW complexes Feuerbach family Fourcolor problem Gauss, Carl Friedrich, Geometry, Affine GermanyUlm Graph theory kspaces Mathematical physics Mathematics Modules (Algebra) Printing Sphere Topology Vector spaces Veterinary anesthesia Veterinary surgery
Alternative Names
Fritsch, F. Rudolf 1939
Fritsch, Fritz R. 1939
Fritsch, Rudolf 1939
Fritsch, Rudolph 1939
Rudolf Fritsch deutscher Mathematiker
Rudolf Fritsch Duits wiskundige
Rudolf Fritsch German mathematician
Rudolf Fritsch matemático alemán
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