``Opposite to the order in existing books on complex analysis this book begins with Oka's First Coherence Theorem ....... It is remarkable that the approach to Levi's Problem and to the Cousin I and II Problems here is very different to the one for instance in Hormanderfs book on several complex variables ...... Many classical proofs are improved and simplified making the book accessible for beginning graduate students. In the appendix the reader finds an interesting biography of Kiyoshi Oka, enhancing a better understanding of the development of the important general concepts of complex analysis.'' (by F. Haslinger)