Projective Geometry

As taught in Oxford, HT 2001

Projective Geometry is the geometrical interpretation of linear algebra, and it describes the mathematics of perspective drawing. In projective geometry we deduce facts in geometry (about points, lines, conics, and so on) using methods from algebra (vector spaces and linear transformations, groups and group actions). The aim of the course is to teach the viewpoint and reasoning methods used in projective geometry. Later, these will be used to investigate the hyperbolic plane and the geometry of lines in space.


Lecture Notes

Problem Sheets