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

by E. A. Maxwell

Overview

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.

Product Details

ISBN-13:	9780521091565
Publisher:	Cambridge University Press
Publication date:	01/02/1946
Pages:	252
Product dimensions:	5.51(w) x 8.50(h) x 0.59(d)

Table of Contents

Preface; Introduction; 1. Homogenous Coordinates and the straight line; 2. One-one algebraic correspondence; 3. Cross-ratio and harmonic ranges; 4. The conic, treated parametrically; 5. Conic-locus and envelope; 6. Special forms of equation; 7. Correspondence on a conic; 8. Quadrilateral, quadrangle and related results; 9. Pencils of conics; 10. Miscellaneous properties; 11. Relation to Euclidean geometry; 12. Applications to Euclidean geometry; General examples; Answers; Index.