Several complex variables and complex manifolds

書誌事項

Several complex variables and complex manifolds

Mike Field

(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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