This text consists of a sequence of problems which develop a variety of aspects in the field of semigroupsof operators. Many of the problems are not found easily in other books. Written in the Socratic/Moore method, this is a problem book without the answers presented. To get the most out of the content requireshigh motivation from the reader to work out the exercises.The reader isgiven the opportunity to discoverimportant developments of the subject and to quickly arrive at the point of independent research.The compactness of the volume and the reputation of the author lends this consider...