Moser, W. O. J.
Overview
Works:  36 works in 176 publications in 6 languages and 4,328 library holdings 

Roles:  Author 
Classifications:  QA171, 510.76 
Publication Timeline
.
Most widely held works by
W. O. J Moser
Generators and relations for discrete groups by
H. S. M Coxeter(
Book
)
76 editions published between 1957 and 1984 in 6 languages and held by 1,301 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
76 editions published between 1957 and 1984 in 6 languages and held by 1,301 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
)
14 editions published between 1995 and 1996 in English and held by 735 WorldCat member libraries worldwide
Covering a wide spectrum of mathematics, this book contains 500 problems aimed at students of all levels of interest and ability, from simple mathematical puzzles to serious problems at the Olympiad level
14 editions published between 1995 and 1996 in English and held by 735 WorldCat member libraries worldwide
Covering a wide spectrum of mathematics, this book contains 500 problems aimed at students of all levels of interest and ability, from simple mathematical puzzles to serious problems at the Olympiad level
Research problems in discrete geometry by
Peter Brass(
Book
)
21 editions published between 2005 and 2007 in English and held by 293 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)
21 editions published between 2005 and 2007 in English and held by 293 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 87 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 87 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
)
7 editions published between 1977 and 1980 in English and held by 46 WorldCat member libraries worldwide
7 editions published between 1977 and 1980 in English and held by 46 WorldCat member libraries worldwide
Research problems in discrete geometry by
William Moser(
Book
)
2 editions published in 1981 in English and held by 25 WorldCat member libraries worldwide
2 editions published in 1981 in English and held by 25 WorldCat member libraries worldwide
Problems in discrete geometry(
Book
)
3 editions published in 1980 in English and Undetermined and held by 17 WorldCat member libraries worldwide
3 editions published in 1980 in English and Undetermined and held by 17 WorldCat member libraries worldwide
The Canadian Mathematics Olympiads, 19691975 by
W 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
Problems in discrete geometry(
Book
)
1 edition published in 1979 in English and held by 9 WorldCat member libraries worldwide
1 edition published in 1979 in English and held by 9 WorldCat member libraries worldwide
Symmetries of the cube(
Visual
)
in English and held by 7 WorldCat member libraries worldwide
Examines the interesting symmetry properties of the square, cube, and octahedron, and to explore the formulation of these properties in the language of groups. Shows the axis and planes of symmetry in relationship to the 48 symmetries of the cube
in English and held by 7 WorldCat member libraries worldwide
Examines the interesting symmetry properties of the square, cube, and octahedron, and to explore the formulation of these properties in the language of groups. Shows the axis and planes of symmetry in relationship to the 48 symmetries of the cube
Research problems in discrete geometry(
)
in English and held by 6 WorldCat member libraries worldwide
in English and held by 6 WorldCat member libraries worldwide
Abstract groups and geometrical configurations by
W. O. J Moser(
Book
)
2 editions published in 1957 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1957 in English and held by 5 WorldCat member libraries worldwide
Recent developments in combinatorial geometry by
W Moser(
Book
)
2 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
Risan kikagaku ni okeru mikaiketsu mondaishu by
Peter Brass(
Book
)
3 editions published in 2009 in Japanese and held by 3 WorldCat member libraries worldwide
3 editions published in 2009 in Japanese and held by 3 WorldCat member libraries worldwide
Research problems in discrete geometry(
)
in English and held by 3 WorldCat member libraries worldwide
in English and held by 3 WorldCat member libraries worldwide
Problems, problems, problems by
W Moser(
Book
)
2 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
It's elementary (combinatorics) by
W. O. J Moser(
Book
)
2 editions published in 1992 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1992 in English and held by 3 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 Combinatorial geometry Cube Discrete geometry Discrete groups Geometry Geometry, Algebraic Group theory Group theoryGenerators Group theoryRelations Infinite groups Mathematics MathematicsStudy and teaching (Secondary) Modular functions Moser, Leo, Polyhedral functions Problem solving Problem solvingStudy and teaching Symmetry Symmetry (Physics)
Alternative Names
Moser, W. O.
Moser, W. O. J.
Moser, William.
Moser, William O.
Moser, William O. J.
Moser, William Oscar Jules
Mozer, U. O. Dž.
Mozer, U. O. Dzh.
William Oscar Jules Moser Canadian mathematician
William Oscar Jules Moser kanadischer Mathematiker
Мозер, Уильям О. Дж..
モーザー, ウィリアム
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