Algebraic Curves - Introduction to Projective Geometry - Lecture 1

Explore the fundamentals of projective geometry in this 52-minute university lecture from Oxford's third-year Algebraic Curves course. Delve into the essential concepts of projective and affine spaces while mastering the distinction between homogeneous and inhomogeneous coordinates. Learn through a practical approach that includes a simple proof in projective geometry, providing concrete application of the theoretical concepts. Build your understanding of these mathematical foundations that form the basis for more advanced study in algebraic curves and related mathematical fields.