In this Section we introduce Cauchy’s theorem which allows us to simplify the calculation of certain contour integrals. A second result, known as Cauchy’s integral formula, allows us to evaluate some integrals of the form where lies inside .
- be familiar with the basic ideas of functions of a complex variable
- be familiar with line integrals
- state and use Cauchy’s theorem
- state and use Cauchy’s integral formula
1.1 Simply-connected regions
2 Cauchy’s integral formula
2.1 The derivative of an analytic function