WorldCat Identities

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

Works: 127 works in 864 publications in 11 languages and 18,967 library holdings
Genres: Biography  Conference proceedings  Criticism, interpretation, etc  Art  Documentary films  History  Software 
Roles: Author, Editor, Honoree, Dedicatee, Author of introduction, Publishing director
Classifications: QA95, 513
Publication Timeline
Most widely held works by H. S. M Coxeter
Introduction to geometry by H. S. M Coxeter( Book )

102 editions published between 1961 and 2013 in 8 languages and held by 2,269 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 )

80 editions published between 1941 and 2014 in English and Undetermined and held by 1,878 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
Geometry revisited by H. S. M Coxeter( Book )

64 editions published between 1967 and 2012 in 6 languages and held by 1,488 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
Mathematical recreations & essays by W. W. Rouse Ball( Book )

63 editions published between 1939 and 2009 in 5 languages and held by 1,328 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 )

47 editions published between 1946 and 2003 in 3 languages and held by 1,283 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 )

69 editions published between 1957 and 1984 in 6 languages and held by 1,256 WorldCat member libraries worldwide

The real projective plane by H. S. M Coxeter( Book )

81 editions published between 1949 and 1993 in 4 languages and held by 1,240 WorldCat member libraries worldwide

Contain: Files, scenes, narrations, and projectivities for Mathematica
Regular polytopes by H. S. M Coxeter( Book )

40 editions published between 1947 and 2012 in English and Undetermined and held by 1,164 WorldCat member libraries worldwide

Polytopes are geometrical figures bounded by portions of lines, planes, or hyperplanes. In plane (two dimensional) geometry, they are known as polygons and comprise such figures as triangles, squares, pentagons, etc. In solid (three dimensional) geometry they are known as polyhedra and include such figures as tetrahedra (a type of pyramid), cubes, icosahedra, and many more; the possibilities, in fact, are infinite! H. S. M. Coxeter's book is the foremost book available on regular polyhedra, incorporating not only the ancient Greek work on the subject, but also the vast amount of information that has been accumulated on them since, especially in the last hundred years. The author, professor of Mathematics, University of Toronto, has contributed much valuable work himself on polytopes and is a well-known authority on them. Professor Coxeter begins with the fundamental concepts of plane and solid geometry and then moves on to multi-dimensionality. Among the many subjects covered are Euler's formula, rotation groups, star-polyhedra, truncation, forms, vectors, coordinates, kaleidoscopes, Petrie polygons, sections and projections, and star-polytopes. Each chapter ends with a historical summary showing when and how the information contained therein was discovered. Numerous figures and examples and the author's lucid explanations also help to make the text readily comprehensible. Although the study of polytopes does have some practical applications to mineralogy, architecture, linear programming, and other areas, most people enjoy contemplating these figures simply because their symmetrical shapes have an aesthetic appeal. But whatever the reasons, anyone with an elementary knowledge of geometry and trigonometry will find this one of the best source books available on this fascinating study
Regular complex polytopes by H. S. M Coxeter( Book )

26 editions published between 1974 and 1991 in English and Undetermined and held by 819 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 International Congress on M.C. Escher( Book )

28 editions published between 1986 and 1988 in English and held by 636 WorldCat member libraries worldwide

Twelve geometric essays by H. S. M Coxeter( Book )

11 editions published in 1968 in English and held by 457 WorldCat member libraries worldwide

The fifty-nine icosahedra by H. S. M Coxeter( Book )

29 editions published between 1938 and 2011 in 4 languages and held by 401 WorldCat member libraries worldwide

Twisted honeycombs by H. S. M Coxeter( Book )

14 editions published between 1970 and 1971 in English and Undetermined and held by 366 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

The fantastic world of M.C. Escher by Michele Emmer( Visual )

2 editions published between 1994 and 2006 in English and held by 343 WorldCat member libraries worldwide

Through colleagues' accounts and computer animated recreations of his work, this documentary explores the genius of the Dutch graphic artist. Learn about the man behind the intricate and mysterious designs and his sources of inspiration for them
Zero-symmetric graphs : trivalent graphical regular representations of groups by H. S. M Coxeter( Book )

13 editions published in 1981 in English and Undetermined and held by 296 WorldCat member libraries worldwide

Kaleidoscopes : selected writings of H.S.M. Coxeter by H. S. M Coxeter( Book )

10 editions published in 1995 in English and held by 220 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
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

The college geometry project( Visual )

1 edition published in 2008 in English and held by 86 WorldCat member libraries worldwide

Presents 12 films developed between 1965 and 1971 at the University of Minnesota which explain a broad range of topics
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Audience level: 0.43 (from 0.20 for Geometry r ... to 0.99 for Coxeter, H ...)

Geometry revisited
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

Donald Coxeter

H.S.M. Coxeter

Harold Coxeter matematico inglese

Harold Scott MacDonald Coxeter britisch-kanadischer Mathematiker

Harold Scott MacDonald Coxeter Canadian mathematician

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.

Коксетер, Гарольд

Коксетер, Гарольд С. М..

Кокстер, Г. С. М 1907-2003

Кокстер, Г. С. М. (Гарольд Скотт Макдональд), 1907-2003

Кокстер, Х. С. М..

Кокстер, Х. С. М 1907-2003

Кокстер, Х. С. М. (Х. Скотт Макдональд), 1907-2003

הרולד סקוט מקדונלד קוקסטר

سكوت ماكدونالد كوكستر

해럴드 스콧 맥도널드 콕서터

コークスター, H




Non-Euclidean geometryGeometry revisitedMathematical recreations & essaysProjective geometryThe real projective planeRegular polytopesRegular complex polytopesThe fifty-nine icosahedra