A Complex Analysis Problem Book

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This is a collection of exercises in the theory of analytic functions, with completed and detailed solutions. We wish to introduce the student to applications and aspects of the theory of analytic functions not always touched upon in a first course. Using appropriate exercises show the students some...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Alpay, Daniel (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Springer Basel : Imprint: Birkhäuser, 2011.
Edition:1st ed. 2011.
Subjects:
Functions of complex variables.
Functions of a Complex Variable.
Online Access:Texto Completo
Table of Contents:
  • Prologue
  • I Complex numbers
  • 1 Complex numbers: algebra
  • 2 Complex numbers: geometry
  • 3 Complex numbers and analysis
  • 4. Remarks and generalizations: quaternions, etc
  • II Functions of a complex variable
  • 5 C-differentiable functions
  • 6 Cauchy's theorem
  • 7 First applications
  • 8 Laurent expansions and applications
  • 9 Computations of definite integrals
  • 10 Harmonic functions
  • 11 Conformal mappings.-III Complements
  • 12 Some useful theorems
  • 13 Some topology
  • References
  • Index.

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