We will look at where the come from, how to define them in Maple, how to perform mathematical operations, and what these operations mean geometrically. In this project we will use the following command packages. Type and execute this line before begining the project below. Note that Maple uses a capital I for the imaginery unit, whereas we normally write this as a small letter i in by hand. The sqrt command is the square root function.
Lets explore some properties of complex numbers.
This angle is given in radians. Every complex number has a complex conjugate. In fact, not just any real number, the square of the modulus. The evalc command forces Maple to evaluate this expression as a complex number. The conjugate of a complex number is a reflection of the original number through the x-axis.