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Introduction to Complex Analysis

  • E. M. Chirka
  • P. Dolbeault
  • G. M. Khenkin
  • A. G. Vitushkin

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

Table of contents

  1. Front Matter
    Pages i-vi
  2. A. G. Vitushkin
    Pages 1-17
  3. E. M. Chirka
    Pages 117-158
  4. P. Dolbeault
    Pages 215-241
  5. Back Matter
    Pages 243-248

About this book

Introduction

From the reviews of the first printing, published as Volume 7 of the Encyclopaedia of Mathematical Sciences:

"...... In this volume, we find an introductory essay entitled "Remarkable Facts of Complex Analysis" by Vitushkin... This is followed by articles by G.M.Khenkin on integral formulas in complex analysis, by E.M.Chirka on complex analytic sets, by Vitushkin on the geometry of hypersurfaces and by P.Dolbeault, on the theory of residues in several variables. ... 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; all contain substantial lists of references."
Bulletin of the American Mathematical 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
"... comprehensive and authoritative survey of results in contemporary mathematics, indications of the directions of its future development, the material presented around pivotal facts whose understanding enables one to have a general view of the area, no proofs or only the outline of proofs, and extensive bibliographies. ... Browsing through this collection of surveys gives one a feeling of awe and admiration. Truly, complex analysis is vigorously alive. ... They are highly recommended to everyone with an interest in complex analysis."
Medelingen van het wiskundig genootshap, 1992

Keywords

Analytische Mengen Complex analysis Holomorphe Abbildungen Hyperfläche Integraldarstellungen analytic sets calculus differential equation holomorphic mappings hypersurface integral representations residuum

Authors and affiliations

  • E. M. Chirka
    • 1
  • P. Dolbeault
    • 2
  • G. M. Khenkin
    • 3
  • A. G. Vitushkin
    • 1
  1. 1.Steklov Mathematical InstituteMoscowRussia
  2. 2.Analyse Complexe et GéométrieUniversité de Paris VIParis Cedex 05France
  3. 3.Pierre et Marie Curie, Methématiques Tour 45–46Université de Paris VIParis Cedex 05France

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-61525-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-63005-0
  • Online ISBN 978-3-642-61525-2
  • Series Print ISSN 0938-0396
  • Buy this book on publisher's site