多复变量

Chapter Ⅰ　Holomorphic Functions
　1 Power Series
　2 Complex Differentiable Functions
　3 The Cauchy Integral
　4 Identity Theorems
　5 Expansion in Reinhardt Domains
　6 Real and Complex Differentiability
　7 Holomorphic Mappings
Chapter Ⅱ　Domains of Holomorphy
　1 The Continuity Theorem
　2　Pseudoconvexity
　3 Holomorphic Convexity
　4 The Thullen Theorem
　5 Holomorphically Convex Domains:
　6 Examples
　7 Riemann Domains over Cn
　8 Holomorphic Hulls
Chapter Ⅲ　The Weierstrass Preparation Theorem
　1 The Algebra of Power Series
　2 The Weierstrass Formula
　3 Convergent Power Series
　4 Prime Factorization
　5 Further Consequences (Hensel Rings, Noetherian Rings)
　6 Analytic Sets
Chapter Ⅳ　Sheaf Theory
　1 Sheaves of Sets
　2 Sheaves with Algebraic Structure
　3 Analytic Sheaf Morphisms
　4 Coherent Sheaves
Chapter Ⅴ　Complex Manifolds
　1 Complex Ringed Spaces
　2 Function Theory on Complex Manifolds
　3 Examples of Complex Manifolds
　4 Closures of Cn
Chapter Ⅵ　Cohomology Theory
　1 Flabby Cohomology
　2 The Cech Cohomology
　3 Double Complexes
　4 The Cohomology Sequence
　5 Main Theorem on Stein Manifolds
Chapter Ⅶ　Real Methods
　1 Tangential Vectors
　2 Differential Forms on Complex Manifolds
　3 Cauchy Integrals
　4 Dolbeault's Lemma
　5 Fine Sheaves (Theorems of Dolbeault and de Rham)
List of symbols
Bibliography
Index