This monograph aims at a general outline of old and new results on representations of finite-dimensional algebras. In a theory which developed rapidly during the last two decades, the lack of textbooks is the main impediment for novices. We therefore paid special attention to the foundations and included proofs for statements which are elementary, serve comprehension or are scarcely available. In this manner we try to lead the reader up to a point where he can find his way in the original literature.