Algebraic Projective Geometry [Paperback]

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.

Part 1: The Origins and Development of Geometrical Knowledge
1. The concept of geometry
2. The analytical treatment of geometry
Part 2: Abstract Projective Geometry
3. Projective geometry of one dimension
4. Projective geometry of two dimensions
5. Conic logic and conic envelopes
6. Further properties of conics
7. Linear systems of conics
8. Higher correspondences: apolarity, and the theory of invariants
9. Transformations of the plane
10. Projective geometry of three dimensions
11. The quadric
12. The twisted cubic curve and cubic surfaces
13. Linear systems of quadrics
14. Linear transformations of space
15. Line geometry
16. Projective geometry ofndimensions

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