This work serves as an introduction to the theory of projective geometry. Techniques and concepts of modern algebra are presented for their role in the study of projective geometry. Topics covered include: affine and projective planes; homogeneous co-ordinates; and Desargues' theorem.

This volume is based on the author's lecture courses to algebraists at Munich and at Goteborg. He presents a unified approach from the point of view of Frobenius algebras/extensions. The book is intended for graduate students and research mathematicians working in algebra and topology.