Coxeter, H. S. M. (Harold Scott Macdonald) 19072003
Overview
Works:  124 works in 789 publications in 10 languages and 18,358 library holdings 

Genres:  Biography Conference proceedings Criticism, interpretation, etc History Software 
Roles:  Author, Editor, Honoree, Dedicatee, Author of introduction, Publishing director 
Classifications:  QA95, 513 
Publication Timeline
.
Most widely held works about
H. S. M Coxeter
 King of infinite space : Donald Coxeter, the man who saved geometry by Siobhan Roberts Siobhan Roberts( Book )
 The Coxeter legacy : reflections and projections ( Book )
 Tamentai to uchū no nazo ni sematta kikagakusha by Siobhan Roberts Siobhan Roberts( Book )
 Solid progress how five regular solids turned into seventyfive by H. Stephen Morse H. Stephen Morse( Recording )
 Martin Gardner papers by Martin Gardner Martin Gardner( )
 Dedicated to H.S.M. Coxeter, cofounder of this journal ( Book )
 Vandiver, H.S., Papers by Harry Schultz Vandiver Harry Schultz Vandiver( )
 Coxeter, Harold Scott Macdonald: Mathematics ( )
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fewer
Most widely held works by
H. S. M Coxeter
Geometry revisited
by
H. S. M Coxeter(
Book
)
55 editions published between 1967 and 2012 in 5 languages and held by 2,349 WorldCat member libraries worldwide
The chief purpose of this book is to revisit those regions of elementary geometry that were enjoyed by our ancestors, making use of the idea of transformations: an idea that facilitates geometric understanding and links the subject with other branches of mathematics. In particular, Chapter 5 introduces the reader to inversive geometry, which has an important application to analysis, and Chapter 6 introduces conics with special emphasis on the notions of focus and eccentricity, notions obviously relevant to the study of orbits of comets, planets, and satellites. The early chapters take the reader by easy stages from very simple ideas to the core of the subject. The problems throughout the book contain extensions of the text as well as challenges to the reader
55 editions published between 1967 and 2012 in 5 languages and held by 2,349 WorldCat member libraries worldwide
The chief purpose of this book is to revisit those regions of elementary geometry that were enjoyed by our ancestors, making use of the idea of transformations: an idea that facilitates geometric understanding and links the subject with other branches of mathematics. In particular, Chapter 5 introduces the reader to inversive geometry, which has an important application to analysis, and Chapter 6 introduces conics with special emphasis on the notions of focus and eccentricity, notions obviously relevant to the study of orbits of comets, planets, and satellites. The early chapters take the reader by easy stages from very simple ideas to the core of the subject. The problems throughout the book contain extensions of the text as well as challenges to the reader
Introduction to geometry
by
H. S. M Coxeter(
Book
)
80 editions published between 1961 and 1994 in 5 languages and held by 2,261 WorldCat member libraries worldwide
This classic work is now available in an unabridged paperback edition. The Second Edition retains all the characterisitcs that made the first edition so popular: brilliant exposition, the flexibility permitted by relatively selfcontained chapters, and broad coverage ranging from topics in the Euclidean plane, to affine geometry, projective geometry, differential geometry, and topology. The Second Edition incorporates improvements in the text and in some proofs, takes note of the solution of the 4color map problem, and provides answers to most of the exercises
80 editions published between 1961 and 1994 in 5 languages and held by 2,261 WorldCat member libraries worldwide
This classic work is now available in an unabridged paperback edition. The Second Edition retains all the characterisitcs that made the first edition so popular: brilliant exposition, the flexibility permitted by relatively selfcontained chapters, and broad coverage ranging from topics in the Euclidean plane, to affine geometry, projective geometry, differential geometry, and topology. The Second Edition incorporates improvements in the text and in some proofs, takes note of the solution of the 4color map problem, and provides answers to most of the exercises
NonEuclidean geometry
by
H. S. M Coxeter(
Book
)
76 editions published between 1941 and 1998 in English and Undetermined and held by 2,051 WorldCat member libraries worldwide
The MAA is delighted to be the publisher of the sixth edition of this book, updated with a new section 15.9 on the author's useful concept of inversive distance. Throughout most of this book, nonEuclidean geometries in spaces of two or three dimensions are treated as specializations of real projective geometry in terms of a simple set of axioms concerning points, lines, planes, incidence, order and continuity, with no mention of the measurement of distances or angles. This synthetic development is followed by the introduction of homogeneous coordinates, beginning with Von Staudt's idea of regarding points as entities that can be added or multiplied. Transformations that preserve incidence are called colineations. They lead in a natural way to elliptic isometries or "congruent transformations". Following a recommendation by Bertrand Russell, continuity is described in terms of order. Elliptic and hyperbolic geometries are derived from real projective geometry by specializing an elliptic or hyperbolic polarity which transforms points into lines (in two dimensions) or planes (in three dimensions) and vice versa. This treatment can be enjoyed by anyone who is familiar with algebra up to the elements of group theory.  Publisher
76 editions published between 1941 and 1998 in English and Undetermined and held by 2,051 WorldCat member libraries worldwide
The MAA is delighted to be the publisher of the sixth edition of this book, updated with a new section 15.9 on the author's useful concept of inversive distance. Throughout most of this book, nonEuclidean geometries in spaces of two or three dimensions are treated as specializations of real projective geometry in terms of a simple set of axioms concerning points, lines, planes, incidence, order and continuity, with no mention of the measurement of distances or angles. This synthetic development is followed by the introduction of homogeneous coordinates, beginning with Von Staudt's idea of regarding points as entities that can be added or multiplied. Transformations that preserve incidence are called colineations. They lead in a natural way to elliptic isometries or "congruent transformations". Following a recommendation by Bertrand Russell, continuity is described in terms of order. Elliptic and hyperbolic geometries are derived from real projective geometry by specializing an elliptic or hyperbolic polarity which transforms points into lines (in two dimensions) or planes (in three dimensions) and vice versa. This treatment can be enjoyed by anyone who is familiar with algebra up to the elements of group theory.  Publisher
Mathematical recreations & essays
by
W. W. Rouse Ball(
Book
)
53 editions published between 1939 and 2009 in English and Undetermined and held by 1,328 WorldCat member libraries worldwide
This classic work offers scores of stimulating, mindexpanding games and puzzles: arithmetical and geometrical problems, chessboard recreations, magic squares, mapcoloring problems, cryptography and cryptanalysis, much more
53 editions published between 1939 and 2009 in English and Undetermined and held by 1,328 WorldCat member libraries worldwide
This classic work offers scores of stimulating, mindexpanding games and puzzles: arithmetical and geometrical problems, chessboard recreations, magic squares, mapcoloring problems, cryptography and cryptanalysis, much more
Projective geometry
by
H. S. M Coxeter(
Book
)
48 editions published between 1946 and 2003 in 3 languages and held by 1,312 WorldCat member libraries worldwide
In Euclidean geometry, constructions are made with ruler and compass. Projective geometry is simpler: its constructions require only a ruler. In projective geometry one never measures anything, instead, one relates one set of points to another by a projectivity. The first two chapters of this book introduce the important concepts of the subject and provide the logical foundations. The third and fourth chapters introduce the famous theorems of Desargues and Pappus. Chapters 5 and 6 make use of projectivities on a line and plane, respectively. The next three chapters develop a selfcontained account of von Staudt's approach to the theory of conics. The modern approach used in that development is exploited in Chapter 10, which deals with the simplest finite geometry that is rich enough to illustrate all the theorems nontrivially. The concluding chapters show the connections among projective, Euclidean, and analytic geometry
48 editions published between 1946 and 2003 in 3 languages and held by 1,312 WorldCat member libraries worldwide
In Euclidean geometry, constructions are made with ruler and compass. Projective geometry is simpler: its constructions require only a ruler. In projective geometry one never measures anything, instead, one relates one set of points to another by a projectivity. The first two chapters of this book introduce the important concepts of the subject and provide the logical foundations. The third and fourth chapters introduce the famous theorems of Desargues and Pappus. Chapters 5 and 6 make use of projectivities on a line and plane, respectively. The next three chapters develop a selfcontained account of von Staudt's approach to the theory of conics. The modern approach used in that development is exploited in Chapter 10, which deals with the simplest finite geometry that is rich enough to illustrate all the theorems nontrivially. The concluding chapters show the connections among projective, Euclidean, and analytic geometry
Generators and relations for discrete groups
by
H. S. M Coxeter(
Book
)
58 editions published between 1957 and 1984 in 5 languages and held by 1,293 WorldCat member libraries worldwide
58 editions published between 1957 and 1984 in 5 languages and held by 1,293 WorldCat member libraries worldwide
The real projective plane
by
H. S. M Coxeter(
Book
)
69 editions published between 1949 and 1993 in 3 languages and held by 1,272 WorldCat member libraries worldwide
Contain: Files, scenes, narrations, and projectivities for Mathematica
69 editions published between 1949 and 1993 in 3 languages and held by 1,272 WorldCat member libraries worldwide
Contain: Files, scenes, narrations, and projectivities for Mathematica
Regular polytopes
by
H. S. M Coxeter(
Book
)
37 editions published between 1947 and 2012 in English and Undetermined and held by 1,168 WorldCat member libraries worldwide
37 editions published between 1947 and 2012 in English and Undetermined and held by 1,168 WorldCat member libraries worldwide
Regular complex polytopes
by
H. S. M Coxeter(
Book
)
26 editions published between 1974 and 1991 in English and Undetermined and held by 842 WorldCat member libraries worldwide
26 editions published between 1974 and 1991 in English and Undetermined and held by 842 WorldCat member libraries worldwide
M.C. Escher, art and science : proceedings of the International Congress on M.C. Escher, Rome, Italy, 2628 March 1985
by International Congress on M.C. Escher(
Book
)
26 editions published between 1986 and 1988 in English and held by 633 WorldCat member libraries worldwide
26 editions published between 1986 and 1988 in English and held by 633 WorldCat member libraries worldwide
Twelve geometric essays
by
H. S. M Coxeter(
Book
)
8 editions published in 1968 in English and held by 454 WorldCat member libraries worldwide
8 editions published in 1968 in English and held by 454 WorldCat member libraries worldwide
The fiftynine icosahedra
by
H. S. M Coxeter(
Book
)
28 editions published between 1938 and 2011 in 4 languages and held by 424 WorldCat member libraries worldwide
28 editions published between 1938 and 2011 in 4 languages and held by 424 WorldCat member libraries worldwide
Twisted honeycombs
by
H. S. M Coxeter(
Book
)
10 editions published between 1970 and 1971 in English and Undetermined and held by 361 WorldCat member libraries worldwide
10 editions published between 1970 and 1971 in English and Undetermined and held by 361 WorldCat member libraries worldwide
The Geometric vein : the Coxeter festschrift
by
Chandler Davis(
Book
)
8 editions published in 1981 in English and held by 354 WorldCat member libraries worldwide
8 editions published in 1981 in English and held by 354 WorldCat member libraries worldwide
Zerosymmetric graphs : trivalent graphical regular representations of groups
by
H. S. M Coxeter(
Book
)
13 editions published between 1981 and 2014 in English and Undetermined and held by 310 WorldCat member libraries worldwide
13 editions published between 1981 and 2014 in English and Undetermined and held by 310 WorldCat member libraries worldwide
Kaleidoscopes : selected writings of H.S.M. Coxeter
by
H. S. M Coxeter(
Book
)
7 editions published in 1995 in English and held by 217 WorldCat member libraries worldwide
7 editions published in 1995 in English and held by 217 WorldCat member libraries worldwide
The Coxeter legacy : reflections and projections
(
Book
)
7 editions published between 2005 and 2006 in English and held by 196 WorldCat member libraries worldwide
This collection of essays on the legacy of mathematician Donald Coxeter is a mixture of surveys, updates, history, storytelling and personal memories covering both applied and abstract maths. Subjects include: polytopes, Coxeter groups, equivelar polyhedra, Ceva's theorum, and Coxeter and the artists
7 editions published between 2005 and 2006 in English and held by 196 WorldCat member libraries worldwide
This collection of essays on the legacy of mathematician Donald Coxeter is a mixture of surveys, updates, history, storytelling and personal memories covering both applied and abstract maths. Subjects include: polytopes, Coxeter groups, equivelar polyhedra, Ceva's theorum, and Coxeter and the artists
The beauty of geometry : twelve essays
by
H. S. M Coxeter(
Book
)
10 editions published in 1999 in English and held by 134 WorldCat member libraries worldwide
10 editions published in 1999 in English and held by 134 WorldCat member libraries worldwide
The college geometry project
(
Visual
)
1 edition published in 2008 in English and held by 85 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 85 WorldCat member libraries worldwide
Presents 12 films developed between 1965 and 1971 at the University of Minnesota which explain a broad range of topics
Contributions of geometry to the main stream of mathematics
by
H. S. M Coxeter(
Book
)
6 editions published in 1955 in English and held by 84 WorldCat member libraries worldwide
6 editions published in 1955 in English and held by 84 WorldCat member libraries worldwide
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fewer
Audience Level
0 

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Kids  General  Special 
Related Identities
 Greitzer, Samuel L.
 Moser, W. O. J.
 Ball, W. W. Rouse (Walter William Rouse) 18501925 Author
 Roberts, Siobhan Author
 Davis, Chandler Editor
 Escher, M. C. (Maurits Cornelis) 18981972 Illustrator Honoree
 Sherk, F. A. Editor
 Grünbaum, Branko Editor
 Conference Board of the Mathematical Sciences
 Powers, David L.
Useful Links
Associated Subjects
Albert, A. Adrian(Abraham Adrian), Algebra Art and science Astrology Bees Brauer, Richard, Canada Ciphers Combinatorial analysis Complexes Conway, John H.(John Horton) Coxeter, H. S. M.(Harold Scott Macdonald), Coxeter groups Cryptography Diaconis, Persi Discrete groups Euclid's Elements Geometry Geometry, Algebraic Geometry, Modern Geometry, NonEuclidean Geometry, Projective Geometry, ProjectiveData processing Geometry, Solid GeometryFamous problems Graph theory Group theory Group theoryGenerators Group theoryRelations Hasse, Helmut, Herstein, I. N Hyperspace Icosahedra Infinite groups Knuth, Donald Ervin, Magic squares Mathematical recreations Mathematicians Mathematics Matter Polyhedra Polytopes Representations of groups Scientists Slocum, Jerry Space and time String figures Ulam, Stanislaw M United States Waerden, B. L. van der(Bartel Leendert),
Alternative Names
Coexter, Harold Scott Macdonald
Coxeter, Donald
Coxeter, Donald 19072003
Coxeter, H.S.
Coxeter, H. S. M.
Coxeter, H. S. M. 19072003
Coxeter, H. S. M. (Harold Scott Macdonald), 19072003
Coxeter, Harold S. 19072003
Coxeter, Harold S. M.
Coxeter, Harold Scott Macdonald
Coxeter, Harold Scott Macdonald 1907
Coxeter, Harold Scott Macdonald 19072003
CoxeterMoser, ... 19072003
Kokseter, G.
Kokseter, G. 19072003
Kokseter, G. S. M.
Kokseter, G.S.M. 19072003
Kokseter, G. S. Makdonal'd.
Kokseter, G. S. Makdonal'd 19072003
Kokster, Ch. S. M. 19072003
Kokster, G. S. M.
Kokster, H. S. M.
Коксетер, Гарольд С. М..
Кокстер, Г. С. М 19072003
Кокстер, Г. С. М. (Гарольд Скотт Макдональд), 19072003
Кокстер, Х. С. М..
Кокстер, Х. С. М 19072003
Кокстер, Х. С. М. (Х. Скотт Макдональд), 19072003
コークスター, H
コクセター
Languages
English
(552)
German (28)
French (14)
Spanish (8)
Chinese (3)
Russian (2)
Danish (1)
Japanese (1)
Italian (1)
Germanic (1)
German (28)
French (14)
Spanish (8)
Chinese (3)
Russian (2)
Danish (1)
Japanese (1)
Italian (1)
Germanic (1)
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