Complex analysis /

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Bibliographic Details
Author / Creator:Lang, Serge, 1927-2005
Edition:3rd ed.
Imprint:New York : Springer-Verlag, c1993.
Description:xiv, 458 p. : ill. ; 25 cm.
Language:English
Series:Graduate texts in mathematics. 103
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/1426497
Hidden Bibliographic Details
ISBN:0387978860 (New York : acid-free paper)
3540978860 (Berlin : acid-free paper)
Notes:Includes bibliographical references (p. [454]) and index.
Table of Contents:
  • I. Basic Theory
  • 1. Complex Numbers and Functions
  • 2. Power Series
  • 3. Cauchy's Theorem, First Part
  • 4. Winding Numbers and Cauchy's Theorem
  • 5. Applications of Cauchy's Integral Formula
  • 6. Calculus of Residues
  • 7. Conformal Mappings
  • 8. Harmonic Functions
  • II. Geometric Function Theory
  • 9. Schwarz Reflection
  • 10. The Riemann Mapping Theorem
  • 11. Analytic Continuation Along Curves
  • III. Various Analytic Topics
  • 12. Applications of the Maximum Modulus Principle and Jensen's Formula
  • 13. Entire and Meromorphic Functions
  • 14. Elliptic Functions
  • 15. The Gamma and Zeta Functions
  • 16. The Prime Number Theorem