This excellently established textbook is ideally suited for preparing for the intermediate examination or the preliminary diploma. It introduces linear algebra with a well-thought-out didactic concept: each chapter is divided into a core text containing information on the most important theorems of the theory and special additions for mathematicians and physicists. At the end of each section, in addition to exercises, test questions are provided for self-assessment. It is certainly remarkable that an introductory text on linear algebra can still offer unique features amidst the ever-growing flood of textbooks on this largely standardized material. It conveys all the additional elements that distinguish a good lecture from a textbook in the usual style (definition - theorem - proof - example). Another characteristic feature of the book is...