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CHAPTER 18

Integration in the Complex Plane

18.1 Contour Integrals

18.2 Cauchy–Goursat Theorem

18.3 Independence of Path

18.4 Cauchy’s Integral Formulas

Chapter 18 in Review

To define an integral of a complex function f, we start with f defined along some curve C or contour in the complex plane. We will see in this chapter that the definition of a complex integral, its properties, and the method of evaluation are quite similar to those of a real line integral in the plane (Section 9.8).

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