WorldCat Identities

Coxeter, H. S. M. (Harold Scott Macdonald) 1907-2003

Overview
Works: 140 works in 731 publications in 6 languages and 17,882 library holdings
Genres: Biography  Conference proceedings  Criticism, interpretation, etc  History  Software 
Roles: Editor, Honoree, Dedicatee, Author of introduction, Publishing director
Classifications: QA95, 513
Publication Timeline
Key
Publications about  H. S. M Coxeter Publications about H. S. M Coxeter
Publications by  H. S. M Coxeter Publications by H. S. M Coxeter
posthumous Publications by H. S. M Coxeter, published posthumously.
Most widely held works by H. S. M Coxeter
Geometry revisited by H. S. M Coxeter ( Book )
50 editions published between 1967 and 2012 in 5 languages and held by 2,165 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 )
48 editions published between 1961 and 1994 in English and Undetermined and held by 2,045 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 self-contained 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 4-color map problem, and provides answers to most of the exercises
Non-Euclidean geometry by H. S. M Coxeter ( Book )
66 editions published between 1941 and 1998 in English and Undetermined and held by 1,874 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, non-Euclidean 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 )
49 editions published between 1939 and 2009 in English and Undetermined and held by 1,340 WorldCat member libraries worldwide
This classic work offers scores of stimulating, mind-expanding games and puzzles: arithmetical and geometrical problems, chessboard recreations, magic squares, map-coloring problems, cryptography and cryptanalysis, much more
Projective geometry by H. S. M Coxeter ( Book )
43 editions published between 1946 and 2003 in 3 languages and held by 1,309 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 self-contained 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 )
53 editions published between 1957 and 1984 in 3 languages and held by 1,251 WorldCat member libraries worldwide
The real projective plane by H. S. M Coxeter ( Book )
58 editions published between 1949 and 2013 in 3 languages and held by 1,169 WorldCat member libraries worldwide
Contain: Files, scenes, narrations, and projectivities for Mathematica
Regular polytopes by H. S. M Coxeter ( Book )
33 editions published between 1947 and 2012 in English and Undetermined and held by 1,156 WorldCat member libraries worldwide
Regular complex polytopes by H. S. M Coxeter ( Book )
23 editions published between 1974 and 1991 in English and Undetermined and held by 834 WorldCat member libraries worldwide
M.C. Escher, art and science : proceedings of the International Congress on M.C. Escher, Rome, Italy, 26-28 March 1985 by Italie) Interdisciplinary Congress on M.C. Escher$ (1985 : Rome ( Book )
24 editions published between 1986 and 1988 in English and held by 641 WorldCat member libraries worldwide
Twelve geometric essays by H. S. M Coxeter ( Book )
7 editions published in 1968 in English and held by 455 WorldCat member libraries worldwide
The fifty-nine icosahedra by H. S. M Coxeter ( Book )
23 editions published between 1938 and 1983 in 3 languages and held by 375 WorldCat member libraries worldwide
Twisted honeycombs by H. S. M Coxeter ( Book )
9 editions published between 1970 and 1971 in English and Undetermined and held by 362 WorldCat member libraries worldwide
The Geometric vein : the Coxeter festschrift by Chandler Davis ( Book )
7 editions published in 1981 in English and held by 349 WorldCat member libraries worldwide
Zero-symmetric graphs : trivalent graphical regular representations of groups by H. S. M Coxeter ( Book )
11 editions published in 1981 in English and Undetermined and held by 303 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 216 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
Unvergängliche Geometrie by H. S. M Coxeter ( Book )
14 editions published between 1963 and 1981 in 3 languages and held by 180 WorldCat member libraries worldwide
The beauty of geometry : twelve essays by H. S. M Coxeter ( Book )
10 editions published in 1999 in English and held by 132 WorldCat member libraries worldwide
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 85 WorldCat member libraries worldwide
 
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Alternative Names
Coexter, Harold Scott Macdonald
Coxeter, Donald
Coxeter, Donald, 1907-2003
Coxeter, H.S.
Coxeter, H. S. M.
Coxeter, H. S. M. 1907-2003
Coxeter, H. S. M. (Harold Scott Macdonald), 1907-2003
Coxeter, Harold S. 1907-2003
Coxeter, Harold S. M.
Coxeter, Harold Scott Macdonald
Coxeter, Harold Scott Macdonald, 1907-
Coxeter, Harold Scott Macdonald, 1907-2003
Coxeter-Moser, ... 1907-2003
Kokseter, G.
Kokseter, G., 1907-2003
Kokseter, G. S. M.
Kokseter, G.S.M., 1907-2003
Kokseter, G. S. Makdonal'd.
Kokseter, G. S. Makdonal'd 1907-2003
Kokster, Ch. S. M. 1907-2003
Kokster, G. S. M.
Kokster, H. S. M.
Кокстер, Г. С. М. (Гарольд Скотт Макдональд), 1907-2003
Кокстер, Х. С. М. (Х. Скотт Макдональд), 1907-2003
コークスター, H
コクセター
Languages
English (500)
German (20)
French (12)
Japanese (1)
Russian (1)
Germanic (1)
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