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Introduction to complex analysis
Introduction to complex analysis

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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.