This book will be useful to form the basis of Weyl Geometry for the students who know Riemannian Geometry. After the basic definitions and theorems about symmetric connection defined on the Weyl space are given in the introduction part of the book, semi symmetric connection is defined in the first chapter. In the second chapter, three types of transformations on the Weyl space with semi symmetric connection are examined. With the help of curvature tensors obtained from these transformations, the concept of generalized recurrence is emphasized in the last chapter .