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Several complex variables/ Edited by H. Grauert,K. Fritzsche

Contributor(s): Grauert,H. ed | Fritzsche,K. edMaterial type: Text

TextSeries: Graduate texts in mathematics, 38Publication details: New York: Springer, 1976Description: x,207p. : 24cmISBN: 1461298768Subject(s): Mathematics | Mathematics--VariablesDDC classification: 515.94

Contents:

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 -- 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?n -- 8 Holomorphic Hulls -- 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 -- IV Sheaf Theory -- 1 Sheaves of Sets -- 2 Sheaves with Algebraic Structure -- 3 Analytic Sheaf Morphisms -- 4 Coherent Sheaves -- V Complex Manifolds -- 1 Complex Ringed Spaces -- 2 Function Theory on Complex Manifolds -- 3 Examples of Complex Manifolds -- 4 Closures of?n -- VI Cohomology Theory -- 1 Flabby Cohomology -- 2 The?ech Cohomology -- 3 Double Complexes -- 4 The Cohomology Sequence -- 5 Main Theorem on Stein Manifolds -- 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) --

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	515.94 GRA/S (Browse shelf(Opens below))	Available		P39965

Total holds: 0

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 --
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?n --
8 Holomorphic Hulls --
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 --
IV Sheaf Theory --
1 Sheaves of Sets --
2 Sheaves with Algebraic Structure --
3 Analytic Sheaf Morphisms --
4 Coherent Sheaves --
V Complex Manifolds --
1 Complex Ringed Spaces --
2 Function Theory on Complex Manifolds --
3 Examples of Complex Manifolds --
4 Closures of?n --
VI Cohomology Theory --
1 Flabby Cohomology --
2 The?ech Cohomology --
3 Double Complexes --
4 The Cohomology Sequence --
5 Main Theorem on Stein Manifolds --
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) --

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