Complex Analysis

Today, the theory of complex-valued functions finds widespread applications in various areas of mathematical research, as well as in electrical and mechanical engineering, aeronautics, and other disciplines. Complex analysis has become a basic course in mathematics, physics, and select engineering d...

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Auteur principal: Mel'nyk, Taras (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:anglais
Publié: Cham : Springer International Publishing : Imprint: Springer, 2023.
Édition:1st ed. 2023.
Sujets:
Accès en ligne:https://doi.org/10.1007/978-3-031-39615-1
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Table des matières:
  • 1 Complex Numbers and Complex Plane
  • 2 Analytic Functions
  • 3 Elementary Analytic Functions
  • 4 Integration of Functions of a Single Complex Variable
  • 5 Complex Power Series
  • 6 Laurent Series. Isolated Singularities of Analytic Functions
  • 7 Residue Calculus
  • 8 Analytic Continuations
  • 9 Qualitative Properties of Analytic Functions.