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The Methods of Plane Projective Geometry Based on the Use of General Homogenous Coordinates - E. A. Maxwell

The Methods of Plane Projective Geometry Based on the Use of General Homogenous Coordinates

Paperback

Published: 3rd March 1946
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This is a book about powerful mathematical methods rather than a mere catalogue of the properties of conics. The treatment is elegant and refreshing as well as systematic, and throughout the book the author is concerned to lay the foundations of future work. Consequently (unlike too many textbooks) there is little for the student to unlearn when he goes on to more advanced courses. A valuable feature is the large number of carefully selected and graded problems for solution (about 400 in all). When this book was first published, the reviewer in Science suggested that 'this scholarly work should be supplemented by a similar book on the analytic projective geometry of ordinary space'. His suggestion has since been adopted: and the companion volume, E.A. Maxwell's General Homogenous Coordinates in Space of Three Dimensions is now also available.

Preface
Introduction
Homogenous Coordinates and the straight line
One-one algebraic correspondence
Cross-ratio and harmonic ranges
The conic, treated parametrically
Conic-locus and envelope
Special forms of equation
Correspondence on a conic
Quadrilateral, quadrangle and related results
Pencils of conics
Miscellaneous properties
Relation to Euclidean geometry
Applications to Euclidean geometry
General examples
Answers
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521091565
ISBN-10: 052109156X
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 252
Published: 3rd March 1946
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 21.6 x 14.0  x 1.5
Weight (kg): 0.33