Several Complex Variables and Complex Manifolds II [Paperback]

Aimed at the professional mathematician or mathematical physicist who wishes to acquire a working knowledge of this area of mathematics. Many exercises have been included and they form an integral part of the text.Aimed at the professional mathematician or mathematical physicist who wishes to acquire a working knowledge of this area of mathematics. Many exercises have been included and they form an integral part of the text.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.Preface; 1. Calculus on complex manifolds; 2. Sheaf theory; 3. Coherent sheaves; Bibliography; Index.