Symmetry and Pattern in Projective Geometry (BOK)

Eric Lord

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"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 Plucker 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.

Produktfakta

Språk Engelsk Engelsk Innbinding Heftet
Utgitt 2013 Forfatter Eric Lord
Forlag
Springer
ISBN 9781447146308
Antall sider 189 Dimensjoner 15,5cm x 23,5cm x 1,3cm
Vekt 365 gram Leverandør Bertram Trading Ltd
Emner og form Mathematics, Maths for computer scientists