Moser, W. O. J.
Overview
Works:  89 works in 281 publications in 6 languages and 4,770 library holdings 

Roles:  Author, Other, Creator, Performer 
Classifications:  QA171, 510.76 
Publication Timeline
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Most widely held works about
W. O. J Moser
 William Moser Fonds : M.G. 4238( )
 James A. Polhamius, et al., against William Moser and William J. Ree by C. F Sanford( )
Most widely held works by
W. O. J Moser
Generators and relations for discrete groups by
H. S. M Coxeter(
Book
)
80 editions published between 1957 and 1984 in 6 languages and held by 1,303 WorldCat member libraries worldwide
When we began to consider the scope of this book, we envisaged a catalogue supplying at least one abstract definition for any finitely generated group that the reader might propose. But we soon realized that more or less arbitrary restrictions are necessary, because interesting groups are so numerous. For permutation groups of degree 8 or less (i. e., subgroups of e), the reader cannot do better than consult the 8 tables of JosEPHINE BuRNS (1915), while keeping an eye open for misprints. Our own tables (on pages 134143) deal with groups of low order, finiteandinfinite groups of congruent transformations, symmetric and alternating groups, linear fractional groups, and groups generated by reflections in real Euclidean space of any number of dimensions. The best substitute foramoreextensive catalogue is the description (in Chapter 2) of a method whereby the reader can easily work out his own abstract definition for almost any given finite group. This method is sufficiently mechanical for the use of an electronic computer. There is also a topological method (Chapter 3), suitable not only for groups of low order but also for some infinite groups. This involves choosing a set of generators, constructing a certain graph (the Cayley diagram or DEHNsehe Gruppenbild), and embedding the graph into a surface. Cases in which the surface is a sphere or a plane are described in Chapter 4, where we obtain algebraically, and verify topologically, an abstract definition for each of the 17 space groups of twodimensional crystallography
80 editions published between 1957 and 1984 in 6 languages and held by 1,303 WorldCat member libraries worldwide
When we began to consider the scope of this book, we envisaged a catalogue supplying at least one abstract definition for any finitely generated group that the reader might propose. But we soon realized that more or less arbitrary restrictions are necessary, because interesting groups are so numerous. For permutation groups of degree 8 or less (i. e., subgroups of e), the reader cannot do better than consult the 8 tables of JosEPHINE BuRNS (1915), while keeping an eye open for misprints. Our own tables (on pages 134143) deal with groups of low order, finiteandinfinite groups of congruent transformations, symmetric and alternating groups, linear fractional groups, and groups generated by reflections in real Euclidean space of any number of dimensions. The best substitute foramoreextensive catalogue is the description (in Chapter 2) of a method whereby the reader can easily work out his own abstract definition for almost any given finite group. This method is sufficiently mechanical for the use of an electronic computer. There is also a topological method (Chapter 3), suitable not only for groups of low order but also for some infinite groups. This involves choosing a set of generators, constructing a certain graph (the Cayley diagram or DEHNsehe Gruppenbild), and embedding the graph into a surface. Cases in which the surface is a sphere or a plane are described in Chapter 4, where we obtain algebraically, and verify topologically, an abstract definition for each of the 17 space groups of twodimensional crystallography
Five hundred mathematical challenges by
Edward Barbeau(
Book
)
15 editions published between 1995 and 1996 in English and held by 731 WorldCat member libraries worldwide
This book contains 500 problems that range over a wide spectrum of areas of high school mathematics and levels of difficulty. Some are simple mathematical puzzlers while others are serious problems at the Olympiad level. Students of all levels of interest and ability will be entertained and taught by the book. For many problems, more than one solution is supplied so that students can see how different approaches can be taken to a problem and compare the elegance and efficiency of different tools that might be applied. Teachers at both the college and secondary levels will find the book useful, both for encouraging their students and for their own pleasure. Some of the problems can be used to provide a little spice in the regular curriculum by demonstrating the power of very basic techniques. These problems were first published as a series of problem booklets almost twenty years ago, at a time when there were a few resources of this type available for the English reader. They have stood the test of time and the demand for them has been steady. Their publication in book form is long overdue. This collection provides a solid base for students who wish to enter competitions at the Olympiad level. They can begin with easy problems and progress to more demanding ones. A special mathematical toolchest summarizes the results and techniques needed by competitionlevel students.  from back cover
15 editions published between 1995 and 1996 in English and held by 731 WorldCat member libraries worldwide
This book contains 500 problems that range over a wide spectrum of areas of high school mathematics and levels of difficulty. Some are simple mathematical puzzlers while others are serious problems at the Olympiad level. Students of all levels of interest and ability will be entertained and taught by the book. For many problems, more than one solution is supplied so that students can see how different approaches can be taken to a problem and compare the elegance and efficiency of different tools that might be applied. Teachers at both the college and secondary levels will find the book useful, both for encouraging their students and for their own pleasure. Some of the problems can be used to provide a little spice in the regular curriculum by demonstrating the power of very basic techniques. These problems were first published as a series of problem booklets almost twenty years ago, at a time when there were a few resources of this type available for the English reader. They have stood the test of time and the demand for them has been steady. Their publication in book form is long overdue. This collection provides a solid base for students who wish to enter competitions at the Olympiad level. They can begin with easy problems and progress to more demanding ones. A special mathematical toolchest summarizes the results and techniques needed by competitionlevel students.  from back cover
Research problems in discrete geometry by
Peter Brass(
Book
)
29 editions published between 1981 and 2009 in 3 languages and held by 323 WorldCat member libraries worldwide
Research Problems in Discrete Geometry is the result of a 25yearold project initiated by the late Leo Moser. It is a collection of more than 500 attractive open problems in the field. The largely selfcontained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research. (Midwest)
29 editions published between 1981 and 2009 in 3 languages and held by 323 WorldCat member libraries worldwide
Research Problems in Discrete Geometry is the result of a 25yearold project initiated by the late Leo Moser. It is a collection of more than 500 attractive open problems in the field. The largely selfcontained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research. (Midwest)
The college geometry project(
Visual
)
1 edition published in 2008 in English and held by 90 WorldCat member libraries worldwide
Presents 12 films developed between 1965 and 1971 at the University of Minnesota which explain a broad range of topics
1 edition published in 2008 in English and held by 90 WorldCat member libraries worldwide
Presents 12 films developed between 1965 and 1971 at the University of Minnesota which explain a broad range of topics
Collected papers of Leo Moser by
Leo Moser(
Book
)
4 editions published in 2005 in English and held by 87 WorldCat member libraries worldwide
4 editions published in 2005 in English and held by 87 WorldCat member libraries worldwide
1001 problems in high school mathematics by
Edward Barbeau(
Book
)
9 editions published between 1976 and 1985 in English and Undetermined and held by 48 WorldCat member libraries worldwide
9 editions published between 1976 and 1985 in English and Undetermined and held by 48 WorldCat member libraries worldwide
Untersuchung des Reibungsverhaltens von Gelenkwellen by
Werner Moser(
)
5 editions published in 1971 in German and Undetermined and held by 21 WorldCat member libraries worldwide
5 editions published in 1971 in German and Undetermined and held by 21 WorldCat member libraries worldwide
Globalstrahlung aus Satellitenmessungen by
W. O. J Moser(
Book
)
4 editions published in 1983 in German and Undetermined and held by 20 WorldCat member libraries worldwide
4 editions published in 1983 in German and Undetermined and held by 20 WorldCat member libraries worldwide
Problems in discrete geometry(
Book
)
4 editions published in 1980 in English and Undetermined and held by 19 WorldCat member libraries worldwide
4 editions published in 1980 in English and Undetermined and held by 19 WorldCat member libraries worldwide
Verzeichnis der Gefässkryptogramen und Phanerogamen des Kantons Solothurn und der angrenzenden Gebiete by
Rudolf Probst(
Book
)
1 edition published in 1949 in German and held by 17 WorldCat member libraries worldwide
Pflanzengeographie (Geobotanik), Regio Basiliensis, Schweiz
1 edition published in 1949 in German and held by 17 WorldCat member libraries worldwide
Pflanzengeographie (Geobotanik), Regio Basiliensis, Schweiz
The Canadian Mathematics Olympiads, 19691975 by
W. O. J Moser(
Book
)
3 editions published in 1976 in English and held by 14 WorldCat member libraries worldwide
3 editions published in 1976 in English and held by 14 WorldCat member libraries worldwide
Determination of the global radiation and of cloudiness from satellite data by
W. O. J Moser(
Book
)
7 editions published between 1983 and 1984 in English and held by 11 WorldCat member libraries worldwide
7 editions published between 1983 and 1984 in English and held by 11 WorldCat member libraries worldwide
Forstliche Zustandserfassung und Planung für bäuerliche Betriebswirtschaften <Geistthal 1957> by
W. O. J Moser(
Book
)
2 editions published in 1961 in German and held by 11 WorldCat member libraries worldwide
2 editions published in 1961 in German and held by 11 WorldCat member libraries worldwide
Research problems in discrete geometry(
)
in English and held by 11 WorldCat member libraries worldwide
in English and held by 11 WorldCat member libraries worldwide
Problems in discrete geometry(
Book
)
2 editions published in 1979 in English and held by 10 WorldCat member libraries worldwide
2 editions published in 1979 in English and held by 10 WorldCat member libraries worldwide
Die berufliche Ausbildung des Gärtners by
Verband Schweizerischer Gärtnermeister(
Book
)
1 edition published in 1949 in German and held by 10 WorldCat member libraries worldwide
1 edition published in 1949 in German and held by 10 WorldCat member libraries worldwide
Development and validation of a comprehensive mine rescue team training program by
Ronald C Althouse(
Book
)
1 edition published in 1986 in English and held by 9 WorldCat member libraries worldwide
1 edition published in 1986 in English and held by 9 WorldCat member libraries worldwide
Bestimmung der Globalstrahlung unter Verwendung von Satellitendaten by
Ehrhard Raschke(
Book
)
6 editions published in 1981 in German and English and held by 7 WorldCat member libraries worldwide
6 editions published in 1981 in German and English and held by 7 WorldCat member libraries worldwide
500 Mathematical Challenges(
)
2 editions published in 2012 in English and held by 0 WorldCat member libraries worldwide
2 editions published in 2012 in English and held by 0 WorldCat member libraries worldwide
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Algebra Botany Canada Combinatorial geometry Discrete geometry Discrete groups Gardening Geometry Geometry, Algebraic Group theory Group theoryGenerators Group theoryRelations Infinite groups Mathematicians Mathematics MathematicsStudy and teaching (Secondary) McGill University Mine rescue work Moser, Leo, New York (State)New York Plant names, Popular Problem solving Problem solvingStudy and teaching Stock exchanges Switzerland Trials (Conspiracy) Universities and collegesFaculty
Alternative Names
Moser, W. O.
Moser, W.O.J.
Moser, W. O. J. 19272009
Moser, William.
Moser, William 19272009
Moser, William O.
Moser, William O. J.
Moser, William Oscar Jules
Moser, William Oscar Jules 19272009
Mozer, U. O. Dž.
Mozer, U. O. Dzh.
William Oscar Jules Moser Canadees hoogleraar (19272009)
William Oscar Jules Moser Canadian mathematician
William Oscar Jules Moser kanadischer Mathematiker
Мозер, Уильям О. Дж..
모저, 윌리엄 O. J
モーザー, ウィリアム
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