A Complex Analysis Problem Book

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This second edition presents a collection of exercises on the theory of analytic functions, including completed and detailed solutions. It introduces students to various applications and aspects of the theory of analytic functions not always touched on in a first course, while also addressing topics...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Alpay, Daniel (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Édition:2nd ed. 2016.
Sujets:
Functions of complex variables.
Functions of a Complex Variable.
Accès en ligne:Texto Completo
Table des matières:
  • Part I Complex Numbers
  • Complex Numbers: Algebra
  • Complex Numbers: Geometry
  • Complex Numbers and Analysis
  • Part II Functions of a Complex Variable
  • Cauchy-Riemann Equations and C-differentiable Functions
  • Cauchy'sTheorem
  • Morera, Liouville, Schwarz, et les autres: First Applications
  • Laurent Expansions, Residues, Singularities and Applications
  • Computations of Definite Integrals Using the Residue Theorem
  • Part III Applications and More Advanced Topics
  • Harmonic Functions
  • Conformal Mappings
  • A Taste of Linear System Theory and Signal Processing
  • Rational Functions
  • Special Functions and Transforms
  • Part IV Appendix
  • Some Topology
  • Some Functional Analysis Essentials
  • A Brief Survey of Integration.

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