ABSTRACT

At the end of this chapter, you should be able to:

• define a complex number • solve quadratic equations with imaginary roots • use an Argand diagram to represent a complex number pictorially • add, subtract, multiply and divide Cartesian complex numbers • solve complex equations • convert a Cartesian complex number into polar form, and vice-versa • multiply and divide polar form complex numbers • apply complex numbers to practical applications

There are several applications of complex numbers in science and engineering, in particular in electrical alternating current theory and in mechanical vector analysis.