Advanced Engineering Mathematics, 6th Edition

CHAPTER 18: Integration in the Complex Plane

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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 method of evaluation are quite similar to those of a real line integral in the plane (Section 9.8).

CHAPTER CONTENTS

1. 18.1 Contour Integrals

2. 18.2 Cauchy–Goursat Theorem

3. 18.3 Independence of the Path

4. 18.4 Cauchy’s Integral Formulas

   1. Chapter 18 in Review

18.1 Contour Integrals

INTRODUCTION

In Section 9.8 we saw that the definition of the definite ...