Several complex variables and complex manifolds. 2 / Mike Field

Field, Mike [author]

ISBN 10: 0521288886 / ISBN 13: 9780521288880

Published by Cambridge : Cambridge University Press, 1982

About this Item

Very good paperback copy; edges slightly dust-toned and nicked. Remains particularly well-preserved overall; tight, bright, and clean. Physical description; vii, 211 pages. Notes; Includes bibliographical references and indexes. Contents; Cover; Title; Copyright; Preface; Contents; Chapter 5. Calculus on Complex Manifolds; Introduction.; 1. Review of Linear Algebra; 2. Calculus on Differential Manifolds; 3. Complexification; 4. Complex Linear Algebra; 5. Generalities on Complex Vector Bundles; 6. Tangent and Cotangent Bundles of a Complex Manifold; 7. Calculus on a Complex Manifold; 8. The Dolbeault-Grothendieck Lemma; 9. Holomorphic Vector Bundles on Compact Complex Manifolds; 10. Pseudoconvexivity and Stein Manifolds; Chapter 6. Sheaf Theory; Introduction; 1. Sheaves and Presheaves; 2. Envelope of Holomorphy. 3. Sheaf CohomologyChapter 7. Coherent Sheaves; Introduction.; 1. Coherent Sheaves; 2. Coherent Sheaves on a Stein Manifold; 3. The Finiteness Theorem of Cartan and Serre; 4. The Finiteness Theorem of Grauert; 5. Coherent Sheaves on Protective Space; 6. The Kodaira Embedding Theorem; Bibliography; Index. Subjects; Functions of several complex variables. Complex manifolds. Topological spaces. Manifolds (Mathematics). 1 Kg.

Seller Inventory # 432760

Bibliographic Details

• Title: Several complex variables and complex manifolds. 2 / Mike Field
• Publisher: Cambridge : Cambridge University Press
• Publication Date: 1982
• Language: English
• ISBN 10: 0521288886
• ISBN 13: 9780521288880
• Binding: Soft cover
• Edition: First Edition.
• Weight: 1 kilogram

About this title

Synopsis

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.