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Classical analysis in the complex plane [electronic resource]

  • 作者: Burckel, R. B.
  • 其他作者:
  • 其他題名:
    • Cornerstones.
  • 出版: New York, NY : Springer US :Imprint: Birkhauser
  • 叢書名: Cornerstones,
  • 主題: Mathematical analysis. , Functions of a Complex Variable. , Several Complex Variables and Analytic Spaces.
  • ISBN: 9781071619650 (electronic bk.) 、 9781071619636 (paper)
  • FIND@SFXID: CGU
  • 資料類型: 電子書
  • 內容註: Prerequisites and Preliminaries -- Curves, Connectedness and Convexity -- (Complex) Derivative and (Curvilinear) Integrals -- Power Series and the Exponential Function -- The Index and some Plane Topology -- Consequences of the Cauchy-Goursat Theorem--Maximum Principles and the Local Theory -- Schwarz' Lemma and its Many Applications -- Convergent Sequences of Holomorphic Functions -- Polynomial and Rational Approximation--Runge Theory -- The Riemann Mapping Theorem -- Simple and Double Connectivity -- Isolated Singularities -- Omitted Values and Normal Families -- Bibliography -- Name Index -- Subject Index -- Symbol Index -- Index of Series Summed and Integrals Evaluated.
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  • 系統號: 005550429 | 機讀編目格式
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