Several complex variables and complex manifolds

Author(s)

• Field, Mike

Bibliographic Information

Several complex variables and complex manifolds

Mike Field

（London Mathematical Society lecture note series, 65-66）

Cambridge University Press, 1982

• v. 1
• v. 2

Note

Includes bibliographies and indexes

Description and Table of Contents

Volume

v. 1 ISBN 9780521283014

Description

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.

Table of Contents

• 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.

Volume

v. 2 ISBN 9780521288880

Description

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.

Table of Contents

• Preface
• 1. Calculus on complex manifolds
• 2. Sheaf theory
• 3. Coherent sheaves
• Bibliography
• Index.

by "Nielsen BookData"

Details

• NCID: BA00758979
• ISBN:
  • 0521283019
  • 0521288886
• LCCN: 81021590
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cambridge [Cambridgeshire] ; New York
• Pages/Volumes: 2 v.
• Size: 23 cm
• Classification:
  • LCC : QA331
  • DC19 : 515.9/4
  • NDC8 : 413.58
  • NDC8 : 414.7
  • NDC8 : 415
  • NDC7 : 413.58
• Subject Headings:
  • LCSH : Functions of several complex variables
  • LCSH : Complex manifolds
  • NDLSH : 複素変数関数論
  • NDLSH : 複素多様体
• Parent Bibliography ID:
  • BA0005393X