A complex analysis problem book /

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Dettagli Bibliografici
Autore principale: Alpay, Daniel
Natura: Printed Book
Lingua:English
Pubblicazione: Basel : Birkhäuser/Springer, c2011.
Soggetti:
Numbers, Complex > Problems, exercises, etc.
Sommario:
  • Complex numbers : Algebra
  • Complex numbers : Geometry
  • Complex numbers and analysis
  • Cauchy-riemann equations and C-differentiable functions
  • Cauchy's theorem
  • Morera, Liouville, Schwarz, et les autres : first applications
  • Laurent expansions, residues, singularities and applications
  • Computations of definite integrals using the residue theorem
  • Harmonic functions
  • Conformal mappings
  • A taste of linear system theory and signal processing
  • Some useful theorems
  • Some topology
  • Some functional analysis essentials
  • A brief survey of integration.

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