ABSTRACT

In this chapter, we present an overview of complex numbers and how they are used in science and engineering. We show how to represent complex numbers in the complex plane and using Python. We present how to use Python to make calculations on complex numbers and how to evaluate functions of complex variables. The connection between trigonometric functions and complex exponentials is presented. In particular, we focus on AC circuits as an example of using complex numbers in physics and engineering. Additional topics include equations with complex numbers, functions of complex variables, hyperbolic functions and complex vectors, and how to work with them in Python.