Projective Geometry

(1-3 Credit Hours) · Undergraduate

Course Overview: Projective spaces provide a means of extending vector spaces by adding points at infinity. The resulting geometry is in some respects better-behaved than that of vector spaces, especially as regards intersection properties. Projective geometry is a good application of many concepts from linear algebra, such as bilinear forms and duality. It also provides an introduction to algebraic geometry proper, that is, the study of spaces defined by algebraic equations, as many such spaces are best viewed as living inside projective spaces.