WorldCat Identities

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

Overview
Works: 115 works in 822 publications in 10 languages and 19,591 library holdings
Genres: Biography  Conference papers and proceedings  Criticism, interpretation, etc  Art  Documentary films  History  Software 
Roles: Author, Editor, Honoree, Dedicatee, Author of introduction, Publishing director, Contributor, Other
Classifications: QA95, 513
Publication Timeline
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Most widely held works by H. S. M Coxeter
Introduction to geometry by H. S. M Coxeter( Book )

92 editions published between 1961 and 1991 in 6 languages and held by 2,252 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
Regular complex polytopes by H. S. M Coxeter( Book )

57 editions published between 1947 and 2012 in English and Undetermined and held by 1,983 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
Non-Euclidean geometry by H. S. M Coxeter( Book )

77 editions published between 1941 and 2014 in English and Undetermined and held by 1,877 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 )

58 editions published between 1939 and 2015 in 5 languages and held by 1,320 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
Geometry revisited by H. S. M Coxeter( Book )

44 editions published between 1967 and 2012 in English and Undetermined and held by 1,310 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
Projective geometry by H. S. M Coxeter( Book )

47 editions published between 1946 and 2003 in 3 languages and held by 1,293 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 )

60 editions published between 1957 and 1984 in 6 languages and held by 1,264 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 134-143) 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 two-dimensional crystallography
The real projective plane by H. S. M Coxeter( Book )

72 editions published between 1949 and 1993 in 4 languages and held by 1,232 WorldCat member libraries worldwide

Contain: Files, scenes, narrations, and projectivities for Mathematica
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 )

26 editions published between 1986 and 1988 in English and held by 647 WorldCat member libraries worldwide

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

12 editions published in 1968 in English and held by 458 WorldCat member libraries worldwide

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

35 editions published between 1938 and 2011 in 4 languages and held by 417 WorldCat member libraries worldwide

For this new edition, the plans and illustrations of all 59 icosahedra have been redrawn and there is a new introduction by Professor Coxeter. For an understanding of the process of stellation, this book should be a useful addition to any mathematics library
Twisted honeycombs by H. S. M Coxeter( Book )

14 editions published between 1970 and 1971 in English and Undetermined and held by 372 WorldCat member libraries worldwide

The Geometric vein : the Coxeter festschrift by Chandler Davis( Book )

9 editions published in 1981 in English and held by 371 WorldCat member libraries worldwide

Geometry has been defined as that part of mathematics which makes appeal to the sense of sight; but this definition is thrown in doubt by the existence of great geometers who were blind or nearly so, such as Leonhard Euler. Sometimes it seems that geometric methods in analysis, so-called, consist in having recourse to notions outside those apparently relevant, so that geometry must be the joining of unlike strands; but then what shall we say of the importance of axiomatic programmes in geometry, where reference to notions outside a restricted reper tory is banned? Whatever its definition, geometry clearly has been more than the sum of its results, more than the consequences of some few axiom sets. It has been a major current in mathematics, with a distinctive approach and a distinc ti v e spirit. A current, furthermore, which has not been constant. In the 1930s, after a period of pervasive prominence, it appeared to be in decline, even passe. These same years were those in which H.S.M. Coxeter was beginning his scientific work. Undeterred by the unfashionability of geometry, Coxeter pursued it with devotion and inspiration. By the 1950s he appeared to the broader mathematical world as a consummate practitioner of a peculiar, out-of-the-way art. Today there is no longer anything that out-of-the-way about it. Coxeter has contributed to, exemplified, we could almost say presided over an unanticipated and dra matic revival of geometry
The fantastic world of M.C. Escher by Michele Emmer( Visual )

2 editions published between 1994 and 2006 in English and held by 338 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 )

15 editions published in 1981 in English and Undetermined and held by 306 WorldCat member libraries worldwide

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

11 editions published in 1995 in English and held by 224 WorldCat member libraries worldwide

The Coxeter legacy : reflections and projections( Book )

7 editions published between 2005 and 2006 in English and held by 198 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 )

8 editions published in 1999 in English and held by 133 WorldCat member libraries worldwide

Redécouvrons la géométrie by H. S. M Coxeter( Book )

13 editions published between 1971 and 1997 in French and held by 100 WorldCat member libraries worldwide

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
 
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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

Donald Coxeter Brits wiskundige (1907-2003)

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.

Macdonald Coxeter, Harold Scott 1907-2003

Гарольд Коксетер

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

コクセター

ハロルド・スコット・マクドナルド・コクセター

哈罗德·斯科特·麦克唐纳·考克斯特

Languages
Covers
Regular complex polytopesNon-Euclidean geometryMathematical recreations & essaysGeometry revisitedProjective geometryThe real projective planeThe fifty-nine icosahedraThe fantastic world of M.C. Escher