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Original Essays | September 4, 2014

Edward E. Baptist: IMG The Two Bodies of The Half Has Never Been Told: Slavery and the Making of American Capitalism



My new book, The Half Has Never Been Told: Slavery and the Making of American Capitalism, is the story of two bodies. The first body was the new... Continue »
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Graduate Texts in Mathematics #213: From Holomorphic Functions to Complex Manifolds

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Synopses & Reviews

Publisher Comments:

This book is an introduction to the theory of complex manifolds. The authors¿ intent is to familiarize the reader with the most important branches and methods in complex analysis of several variables and to do this as simply as possible. Therefore, the abstract concepts involving sheaves, coherence, and higher-dimensional cohomology have been completely avoided. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Nevertheless, deep results can be proved. The book can be used as a first introduction to several complex variables as well as a reference for the expert.

Synopsis:

This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.

Table of Contents

* Holomorphic Functions * Domains of Holomorphy * Analytic Sets * Complex Manifolds * Stein Theory * Kaehler Manifolds * Boundary Behavior

Product Details

ISBN:
9781441929839
Author:
Fritzsche, Klaus
Publisher:
Springer
Author:
Grauert, Hans
Subject:
Mathematical Analysis
Subject:
Complex Function Theory
Subject:
Complex manifolds
Subject:
Holomorphic functions.
Subject:
Several Complex Variables
Subject:
Analysis
Subject:
Several Complex Variables and Analytic Spaces
Subject:
Mathematics-Calculus
Copyright:
Edition Description:
Softcover reprint of hardcover 1st ed. 2002
Series:
Graduate Texts in Mathematics
Series Volume:
213
Publication Date:
20101203
Binding:
TRADE PAPER
Language:
English
Pages:
407
Dimensions:
235 x 155 mm 1270 gr

Related Subjects

Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General

Graduate Texts in Mathematics #213: From Holomorphic Functions to Complex Manifolds New Trade Paper
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Product details 407 pages Not Avail - English 9781441929839 Reviews:
"Synopsis" by , This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.
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