Several complex variables and complex manifolds
著者
書誌事項
Several complex variables and complex manifolds
(London Mathematical Society lecture note series, 65-66)
Cambridge University Press, 1982
- v. 1
- v. 2
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注記
Includes bibliographies and indexes
内容説明・目次
- 巻冊次
-
v. 1 ISBN 9780521283014
内容説明
This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds was first published in 1982. It was intended be a synthesis of those topics and a broad introduction to the field. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a further 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 were designed to provide an introduction to the more advanced works in the subject.
目次
- Preface
- Notations and conventions
- 1. Functions of one complex variable
- 2. Functions of several complex variables
- 3. Local rings of analytic functions
- 4. Complex manifolds
- Bibliography
- Index.
- 巻冊次
-
v. 2 ISBN 9780521288880
内容説明
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.
目次
- Preface
- 1. Calculus on complex manifolds
- 2. Sheaf theory
- 3. Coherent sheaves
- Bibliography
- Index.
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