1 Integrating real functions
After working through this section, you should be able to:
- appreciate how the Riemann integral is defined
- state the main properties of the Riemann integral
- appreciate how complex integrals can be defined.
In this section we define the Riemann integral of a continuous real function (named after Bernhard Riemann, whom we met in Session 1 for the Cauchy–Riemann equations) and outline its main properties. We then discuss complex integrals.