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.
Inhaltsverzeichnis
- 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 of n dimensions