Chapter 3. Functions of a Complex Variable

  1. Prof. Dr. Charlie Harper

Published Online: 28 JAN 2005

DOI: 10.1002/3527603077.ch3

Analytic Methods in Physics

Analytic Methods in Physics

How to Cite

Harper, C. (2005) Functions of a Complex Variable, in Analytic Methods in Physics, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527603077.ch3

Author Information

  1. California State University, Hayward, USA

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 12 OCT 1999

ISBN Information

Print ISBN: 9783527402168

Online ISBN: 9783527603077

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Keywords:

  • functions of a complex variable;
  • de Moivre theorem;
  • analytic functions;
  • contour integrals;
  • Taylor series;
  • Laurent expansion

Summary

This chapter contains sections titled:

  • Introduction

  • Complex Variables and Their Representations

  • The de Moivre Theorem

  • Analytic Functions of a Complex Variable

  • Contour Integrals

  • The Taylor Series and Zeros of f(z)

    • The Taylor Series

    • Zeros of f(z)

  • The Laurent Expansion

  • Problems

  • Appendix: Series

    • Introduction

    • Simple Convergence Tests

    • Some Important Series in Mathematical Physics