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The Coxeter Legacy: Reflections and Projections

Chandler Davis and Erich W. Ellers

Price: £ (Hardback)
ISBN-13: 978-0-8218-3722-1
Publication date: 6 April 2006
American Mathematical Society
321 pages,
Series: American Mathematics Society non-series title
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Description

Donald Coxeter infused enthusiasm, even passion, for mathematics in people of any age, any background, any profession, any walk of life. Enchanted by Euclidean geometry, he was interested in the beauty, the description, and the exploration of the world around us. His involvement in art and with artists earned him admiration and friends in the intellectual community all over the globe. Coxeter's devotion to polytopes and his interest in the theory of configurations live on in his students and followers. Coxeter groups arise in various subjects in applied mathematics, and they have a permanent place in some of the most demanding and fascinating branches of abstract mathematics, such as Lie algebras, algebraic groups, Chevalley groups, and Kac-Moody groups. This collection of articles by outstanding researchers and expositors is intended to capture the essence of the Coxeter legacy. It is a mixture of surveys, up-to-date information, history, storytelling, and personal memories; and it includes a rich variety of beautiful illustrations.

Readership: Mathematicians, artists, model makers with a university degree, preferably in mathematics.

Contents

The isomorphism problem for Coxeter groups , B. Muhlherr

Coxeter theory: The cognitive aspects , A. V. Borovik

From Galois and Lie to Tits buildings , M. Ronan

The Coxeter element and the branching law for the finite subgroups of $SU(2)$ , B. Kostant

Hyperbolic Coxeter groups and space forms , R. Kellerhals

Regular and chiral polytopes in low dimensions , P. McMullen and E. Schulte

Polytopes, honeycombs, groups and graphs , B. Monson and A. I. Weiss

Equivelar polyhedra , J. M. Wills

Combinatorics of sections of polytopies and Coxeter groups in Lobachevsky spaces , A. Khovanskii

Donald and the golden rhombohedra , M. Senechal

Configurations of points and lines , B. Grunbaum

Meditations on Ceva's theorem , J. Richter-Gebert

Coexter and the artists: Two-way inspiration , D. Schattschneider

The visual mind: Art, mathematics and cinema , M. Emmer

Publications of H. S. M. Coxeter , C. Davis and E. W. Ellers

Index

Authors, editors, and contributors

Chandler Davis and
Erich W. Ellers

Links to web resources and related information

More in the same subject area:
History of science
History of mathematics
Philosophy of mathematics
Algebraic geometry
Groups & group theory
Algebraic topology
Euclidean geometry

The specification in this catalogue, including without limitation price, format, extent, number of illustrations, and month of publication, was as accurate as possible at the time the catalogue was compiled. Occasionally, due to the nature of some contractual restrictions, we are unable to ship a specific product to a particular territory. Jacket images are provisional and liable to change before publication.