The first chapter of this book is dedicated to projective and affine geometries. Both were defined and treated in a purely synthetical way. In chapter two the author focuses on isomorphisms and collineations and the relations to Desargues’ theorem which gives the possibility to coordinatise a projective space as done in the third chapter. The latter deals with projective spaces over vector spaces. The two fundamental theorems are also given. Then polar spaces are treated in the fourth chapter where polarities, sesquilinear forms, and pseudo-quadrics are described. Quadrics and quadratic sets are the contents of the last chapter.
The book contains almost all classical results from projective geometry. It is written in a readable style. Especially the first two chapters can be recommended to those who are interested in a synthetic treatment of projective geometry.