Table of Contents

Manifolds and Vector Bundles.- Sheaf Theory.- Differential Geometry.- Elliptic Operator Theory.- Compact Complex Manifolds.- Kodaira's Projective Embedding Theorem.

Reviews

From the reviews of the third edition: "This is the third edition of a well-known book first published in 1973, with a second edition in 1980. ... It is good to see it back 28 years later. ... For someone learning the material for the first time (or for a professor planning a series of lectures), having such a goal in mind often serves as motivation and gives coherence to the material." (Fernando Q. Gouvea, MathDL, March, 2008) "The purpose of the text is to present the basics of analysis and geometry on compact complex manifolds and is already one of the standard sources for this material. ... The book has proven to be an excellent introduction to the theory of complex manifolds considered from both the points of view of complex analysis and differential geometry." (Vasile Oproiu, Zentralblatt MATH, Vol. 1131, 2008)