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From Holomorphic Functions to Complex Manifolds 1st edition by Klaus Fritzsche, Hans Grauert ISBN 0387953957 978-0387953953

  • SKU: BELL-2109292
From Holomorphic Functions to Complex Manifolds 1st edition by Klaus Fritzsche, Hans Grauert ISBN 0387953957 978-0387953953
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From Holomorphic Functions to Complex Manifolds 1st edition by Klaus Fritzsche, Hans Grauert ISBN 0387953957 978-0387953953 instant download after payment.

Publisher: Springer-Verlag New York, LLC
File Extension: PDF
File size: 8.18 MB
Pages: 400
Author: Klaus Fritzsche, Hans Grauert
ISBN: 9780387953953, 0387953957
Language: English
Year: 2002
Edition: 1

Product desciption

From Holomorphic Functions to Complex Manifolds 1st edition by Klaus Fritzsche, Hans Grauert ISBN 0387953957 978-0387953953 by Klaus Fritzsche, Hans Grauert 9780387953953, 0387953957 instant download after payment.

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ISBN 10: 0387953957
ISBN 13: 978-0387953953
Author: Klaus Fritzsche, Hans Grauert 

The aim of this book is to give an understandable introduction to the the­ ory of complex manifolds. With very few exceptions we give complete proofs. Many examples and figures along with quite a few exercises are included. Our 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 involved with sheaves, coherence, and higher-dimensional cohomology are avoided. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional co­ cycles are used. Nevertheless, deep results can be proved, for example the Remmert-Stein theorem for analytic sets, finiteness theorems for spaces of cross sections in holomorphic vector bundles, and the solution of the Levi problem. The first chapter deals with holomorphic functions defined in open sub­ sets of the space en. Many of the well-known properties of holomorphic functions of one variable, such as the Cauchy integral formula or the maxi­ mum principle, can be applied directly to obtain corresponding properties of holomorphic functions of several variables. Furthermore, certain properties of differentiable functions of several variables, such as the implicit and inverse function theorems, extend easily to holomorphic functions.


From Holomorphic Functions to Complex Manifolds 1st Table of contents:

Chapter1 : Introduction

Chapter 2: Content

Chapter 3: Conclusion 

Chapter 4: Appendices

Chapter 5: Glossary

Chapter 6: References 

Chapter 7: Index


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Tags: Klaus Fritzsche, Hans Grauert, From Holomorphic, Complex Manifolds

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