Symmetry and Pattern in Projective Geometry

Authors: Lord, Eric

  • <P>Provides a self-contained and easy-to-read introduction to projective geometry </P>
  • <P>Compares and contrasts both analytic and synthetic methods</P>
  • <P>Makes accessible subjects and theorems which are often considered quite complicated</P>
see more benefits

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-1-4471-4631-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-1-4471-4630-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

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.

Reviews

From the reviews:

“Here, readers meet a slice of geometry, intermediate between elementary Euclidean and modern algebraic, where first come the objects, extraordinary, surprising, and intriguing. By meeting and literally seeing these special objects, specifically linear configurations and various projective varieties of low dimension and low degree, undergraduates can--perhaps for the first time--really experience mathematics as a phenomenological science. … Summing Up: Highly recommended. Upper-division undergraduates through researchers/faculty.” (D. V. Feldman, Choice, Vol. 51 (2), October, 2013)

“The book under review presents an introduction to projective geometry as well as some preliminary results on algebraic geometry and finite geometries. … This is a well-illustrated, self-contained textbook on projective geometry. Both the basics and the significant facts are presented in an original manner. The book is intended for undergraduate students in mathematics and computer science.” (Georgi Hristov Georgiev, Mathematical Reviews, September, 2013)

“The author wanted to convey some of the fascination he feels for the subject. … Nice figures, some in color, illustrate perspective. … this is a nice introduction for those with an interest in geometry.” (Arthur Gittleman, Computing Reviews, July, 2013)

Table of contents (7 chapters)

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-1-4471-4631-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-1-4471-4630-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Symmetry and Pattern in Projective Geometry
Authors
Copyright
2013
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-4471-4631-5
DOI
10.1007/978-1-4471-4631-5
Softcover ISBN
978-1-4471-4630-8
Edition Number
1
Number of Pages
XI, 184
Number of Illustrations and Tables
83 b/w illustrations, 20 illustrations in colour
Topics