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Introduction to Complex Analysis

  • Book
  • © 1997

Overview

Authors:
  1. E. M. Chirka

    1. Steklov Mathematical Institute, Moscow, Russia

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  2. P. Dolbeault

    1. Analyse Complexe et Géométrie, Université de Paris VI, Paris Cedex 05, France

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  3. G. M. Khenkin

    1. Pierre et Marie Curie, Methématiques Tour 45–46, Université de Paris VI, Paris Cedex 05, France

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  4. A. G. Vitushkin

    1. Steklov Mathematical Institute, Moscow, Russia

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  • A reliable and modern reference of the basic facts of complex analysis
  • An extremely useful tool for researchers and graduate students

Part of the book series: Encyclopaedia of Mathematical Sciences (EMS, volume 7)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-vi
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  2. Remarkable Facts of Complex Analysis

    • A. G. Vitushkin
    Pages 1-17

  3. The Method of Integral Representations in Complex Analysis

    • G. M. Khenkin
    Pages 19-116

  4. Complex Analytic Sets

    • E. M. Chirka
    Pages 117-158

  5. Holomorphic Mappings and the Geometry of Hypersurfaces

    • A. G. Vitushkin
    Pages 159-214

  6. General Theory of Multidimensional Residues

    • P. Dolbeault
    Pages 215-241

  7. Back Matter

    Pages 243-248
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About this book

From the reviews: "... In sum, the volume under review is the first quarter of an important work that surveys an active branch of modern mathematics. Some of the individual articles are reminiscent in style of the early volumes of the first Ergebnisse series and will probably prove to be equally useful as a reference; ...for the appropriate reader, they will be valuable sources of information about modern complex analysis." Bulletin of the Am.Math.Society, 1991
"... This remarkable book has a helpfully informal style, abundant motivation, outlined proofs followed by precise references, and an extensive bibliography; it will be an invaluable reference and a companion to modern courses on several complex variables." ZAMP, Zeitschrift für Angewandte Mathematik und Physik, 1990

Reviews

From the reviews: "... In sum, the volume under review is the first quarter of an important work that surveys an active branch of modern mathematics. Some of the individual articles are reminiscent in style of the early volumes of the first Ergebnisse series and will probably prove to be equally useful as a reference; ...for the appropriate reader, they will be valuable sources of information about modern complex analysis." Bulletin of the Am.Math.Society, 1991 "... This remarkable book has a helpfully informal style, abundant motivation, outlined proofs followed by precise references, and an extensive bibliography; it will be an invaluable reference and a companion to modern courses on several complex variables." ZAMP, Zeitschrift für Angewandte Mathematik und Physik, 199

Authors and Affiliations

  • Steklov Mathematical Institute, Moscow, Russia

    E. M. Chirka, A. G. Vitushkin

  • Analyse Complexe et Géométrie, Université de Paris VI, Paris Cedex 05, France

    P. Dolbeault

  • Pierre et Marie Curie, Methématiques Tour 45–46, Université de Paris VI, Paris Cedex 05, France

    G. M. Khenkin

Bibliographic Information

  • Book Title: Introduction to Complex Analysis

  • Authors: E. M. Chirka, P. Dolbeault, G. M. Khenkin, A. G. Vitushkin

  • Series Title: Encyclopaedia of Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-3-642-61525-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • Softcover ISBN: 978-3-540-63005-0Published: 12 September 1997

  • eBook ISBN: 978-3-642-61525-2Published: 06 December 2012

  • Series ISSN: 0938-0396

  • Edition Number: 1

  • Number of Pages: VI, 248

  • Additional Information: Originally published as volume 7 in the series: Encyclopaedia of Mathematical Sciences

  • Topics: Analysis

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