Algebraic Projective Geometry

by J. G. Semple, G. T. Kneebone

Overview

First published in 1952, this book has proven a valuable introduction for generations of students. It provides a clear and systematic development of projective geometry, building on concepts from linear algebra.

Product Details

ISBN-13:	9780198503637
Publisher:	Oxford University Press
Publication date:	11/12/1998
Series:	Oxford Classic Texts in the Physical Sciences
Edition description:	New Edition
Pages:	412
Product dimensions:	9.19(w) x 6.20(h) x 0.95(d)

About the Author

formerly of King's College, London

Royal Holloway and Bedford College, London

Table of Contents

Part 1: The Origins and Development of Geometrical Knowledge1. The concept of geometry2. The analytical treatment of geometryPart 2: Abstract Projective Geometry3. Projective geometry of one dimension4. Projective geometry of two dimensions5. Conic logic and conic envelopes6. Further properties of conics7. Linear systems of conics8. Higher correspondences: apolarity, and the theory of invariants9. Transformations of the plane10. Projective geometry of three dimensions11. The quadric12. The twisted cubic curve and cubic surfaces13. Linear systems of quadrics14. Linear transformations of space15. Line geometry16. Projective geometry of n dimensions

Editorial Reviews

"[Topics are] presented with a simplicity and clarity of treatment... This interesting book may be warmly recommended." —Mathematical Gazette

From the Publisher