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Klappentext This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgraduates whilst Part II is written more for the graduate student. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a working knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts provide an introduction to the more advanced works in the subject. Zusammenfassung A self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds! will be useful to professional mathematicians or mathematical physicists who wish to acquire a working knowledge of this area of mathematics. Many exercises have been an integral part of the text. Inhaltsverzeichnis Preface; 1. Calculus on complex manifolds; 2. Sheaf theory; 3. Coherent sheaves; Bibliography; Index.