There exists no square root of -1. This is something drilled into many people all throughout their school education. In the course Complex Variables, we examine the question: But what if there were?
Obviously there is no real root of
. However, we let the letter
i
be such that
i2 = − 1
. We consider all numbers that can be created using this letter
i
, whether it be addition, subtraction, division, multiplication and roots of real numbers together with
i
. We then call all of these numbers
complex numbers.
In this course, we compare and contrast Calculus with real numbers against Calculus with complex numbers.
