Abstract
This chapter discusses contour integration, which is the process of calculating the values of a contour integral around a given contour in the complex plane. It is closely related to the calculus of residues, which is a methodology of complex analysis. One use for contour integrals is the evaluation of integrals along the real line that are not readily found by using only real variable methods. Contour integration methods include direct integration of a complex-valued function along a curve in the complex plane, application of the Cauchy integral formula, and application of the residue theorem. A complex function is one in which the independent variable and the dependent variable are both complex numbers.
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