Symmetry and Pattern in Projective Geometry

Nonfiction, Science & Nature, Mathematics, Geometry, Computers, Database Management, Data Processing
Cover of the book Symmetry and Pattern in Projective Geometry by Eric Lord, Springer London
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Eric Lord ISBN: 9781447146315
Publisher: Springer London Publication: December 14, 2012
Imprint: Springer Language: English
Author: Eric Lord
ISBN: 9781447146315
Publisher: Springer London
Publication: December 14, 2012
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer London

Cover of the book Gamut Index of Skeletal Dysplasias by Eric Lord
Cover of the book Robert Recorde by Eric Lord
Cover of the book Frontiers in Computational and Systems Biology by Eric Lord
Cover of the book Network Geeks by Eric Lord
Cover of the book Interactive 3D Multimedia Content by Eric Lord
Cover of the book Using Game Theory to Improve Safety within Chemical Industrial Parks by Eric Lord
Cover of the book Vascular Surgery by Eric Lord
Cover of the book The Fallopian Tube by Eric Lord
Cover of the book Infected Total Joint Arthroplasty by Eric Lord
Cover of the book Neurological Emergencies in Clinical Practice by Eric Lord
Cover of the book Rheumatoid Arthritis and Proteus by Eric Lord
Cover of the book Lossy Image Compression by Eric Lord
Cover of the book Roads to Radiology by Eric Lord
Cover of the book Robust and Optimal Control by Eric Lord
Cover of the book A Brief History of Computing by Eric Lord
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy