Applications of Contour Integrals

  • James B. Seaborn
Part of the Texts in Applied Mathematics book series (TAM, volume 8)


The notion of a residue, introduced in Chapter 7, provides a useful tool to evaluate definite integrals, as shown below. First, let us extend the idea to a multiply connected region in the complex plane, that is, one with several holes or places where the function f (z) is not analytic.


Real Axis Branch Point Imaginary Axis Simple Pole Contour Integration 
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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • James B. Seaborn
    • 1
  1. 1.Department of PhysicsUniversity of RichmondUSA

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