A Complex Analysis Problem Book

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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Bibliographic Details
Main Author: Alpay, Daniel (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Edition:2nd ed. 2016.
Subjects:
Mathematics.
Functions of complex variables.
Functions of a Complex Variable.
Online Access:Full Text via HEAL-Link
Table of Contents:
  • 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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