Author: Publisher: CUP Archive
ISBN:
Category :
Languages : en
Pages : 124
Book Description
A Locus with 25920 Linear Self- Transformations
Author: A Locus with 25920 Linear Self-Transformations
Author: H. F. BakerPublisher: Cambridge University Press
ISBN: 1107493714
Category : Mathematics
Languages : en
Pages : 121
Book Description
Originally published in 1946, this book provides a concise account regarding linear groups.
Canadian Journal of Mathematics
Author: Canadian Journal of Mathematics
Author: Symmetry and Pattern in Projective Geometry
Author: Eric LordPublisher: Springer Science & Business Media
ISBN: 144714631X
Category : Mathematics
Languages : en
Pages : 190
Book Description
Symmetry and Pattern in Projective Geometry is a self-contained study of projective geometry which compares and contrasts the analytic and axiomatic methods. The analytic approach is based on homogeneous coordinates, and brief introductions to Plücker coordinates and Grassmann coordinates are presented. This book looks carefully at linear, quadratic, cubic and quartic figures in two, three and higher dimensions. It deals at length with the extensions and consequences of basic theorems such as those of Pappus and Desargues. The emphasis throughout is on special configurations that have particularly interesting symmetry properties. The intricate and novel ideas of ‘Donald’ Coxeter, who is considered one of the great geometers of the twentieth century, are also discussed throughout the text. The book concludes with a useful analysis of finite geometries and a description of some of the remarkable configurations discovered by Coxeter. This book will be appreciated by mathematics students and those wishing to learn more about the subject of geometry. It makes accessible subjects and theorems which are often considered quite complicated and presents them in an easy-to-read and enjoyable manner.
A Locus with 25920 Linear Self-transformations
Author: Henry Frederick BakerPublisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 0
Book Description
The Beauty of Geometry
Author: H. S. M. CoxeterPublisher: Courier Corporation
ISBN: 0486409198
Category : Mathematics
Languages : en
Pages : 301
Book Description
Absorbing essays demonstrate the charms of mathematics. Stimulating and thought-provoking treatment of geometry's crucial role in a wide range of mathematical applications, for students and mathematicians.
Canadian Journal of Mathematics
Author: Kaleidoscopes
Author: F. Arthur SherkPublisher: John Wiley & Sons
ISBN: 9780471010036
Category : Mathematics
Languages : en
Pages : 476
Book Description
H.S.M. Coxeter is one of the world's best-known mathematicians who wrote several papers and books on geometry, algebra and topology, and finite mathematics. This book is being published in conjunction with the 50th anniversary of the Canadian Mathematical Society and it is a collection of 26 papers written by Dr. Coxeter.
Generators and Relations for Discrete Groups
Author: Harold Scott Macdonald CoxeterPublisher: Springer Science & Business Media
ISBN: 3662257394
Category : Mathematics
Languages : en
Pages : 163
Book Description
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.