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Complex analysis / Serge Lang

Main Author Lang, Serge, 1927-2005 Country Estados Unidos. Edition 3rd ed Publication New York : Springer-Verlag, cop. 1993 Description XIV, 458 p. : il. ; 25 cm Series Graduate texts in mathematics , 103 ISBN 0-387-97886-0 CDU 517.53
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Item type Current location Call number Status Date due Barcode Item holds
Monografia Biblioteca Geral da Universidade do Minho
BGUM 517.53 - L Available 112737
Monografia Biblioteca da UMinho no Campus de Azurém
BPG2 517.53 - L Available 162110
Total holds: 0

Enhanced descriptions from Syndetics:

This is a new, revised third edition of Serge Lang's ComplexAnalysis. The first part of the book covers the basic material of complex analysis, and the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. The first part of Complex Analysisis suitable for an introductory course on the undergraduate level, and the additional topics covered in the second part give the instructor of a graduate course a great deal of flexibility in structuring a more advanced course.

Table of contents provided by Syndetics

  • 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

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