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Holomorphic Functions of Several Variables
An Introduction to the Fundamental Theory
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Ludger Kaup
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In collaboration with:
Gottfried Barthel
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Translated by:
Michael Bridgland
Language:
English
Published/Copyright:
1983
Reviews
"The authors seem to have taken great care in being accurate and complete in all details. [...] The numerous examples and exercises and the many motivational remarks give evidence that the authors are serious about their goal to write a "textbook''." Mathematical Reviews
"Das Buch ist sehr präzise, zuverlässig bis in die letzten Details durchgeführt. Durch geschickten Aufbau entstehen äußerlich kurze Beweise. Didaktisch vernünftig ist das geübte Verfahren, wichtige Sätze erst vorzustellen, über Folgerungen ihre Relevanz zu erläutern und sie erst dann zu beweisen. [...] Ich habe es gern gelesen. Für vorbereitete Studenten wird sich das Buch zu einen fortführenden Selbststudium eignen." Zentralblatt für Mathematik
Topics
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Frontmatter
I - Part One: Function Theory on Domains in ℂn
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Chapter 0. Elementary Properties of Holomorphic Functions
1 -
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Chapter 1 Regions of Ηolomorphy
31 - Part Two: Function Theory on Analytic Sets
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Chapter 2 The Weierstrass Preparation Theorem and its Applications
63 -
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Chapter 3 Complex Manifolds and the Elementary Theory of Complex Spaces
92 -
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Chapter 4 Complex Spaces
135 - Part Three: Function Theory on Stein Spaces
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Chapter 5 Applications of Theorem Β
213 -
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Chapter 6 Proof of Theorem Β
277 -
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Supplement: Chapter 7 Normal Complex Spaces
302 -
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List of Examples
323 -
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Bibliography
325 -
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Glossary of Notations
329 -
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Index
337 -
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Backmatter
351
Publishing information
Pages and Images/Illustrations in book
eBook published on:
May 9, 2011
eBook ISBN:
9783110838350
Hardcover published on:
August 1, 1983
Hardcover ISBN:
9783110041507
Pages and Images/Illustrations in book
Front matter:
13
Main content:
350
Illustrations:
29
Keywords for this book
Holomorphe Funktion
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
