1 - Introduction to Complex Numbers - The Complex Plane and The Imaginary Unit i
Any number that can be written in the form
The complex plane is an ordinary plane, but the x axis represents the line of real numbers, and the y-axis represents the imaginary number line, so, multiples of i.
In the Politecnico di Torino course of Mathematical Analysis 1, The Complex Plane can sometimes be named "The Gaussian Plane". They're the same thing.
Consider the complex number
This complex number has a real number a, and a multiple b of the imaginary number i.
In essence, this real number a represents the real part of this complex number z, and it is denoted by:
You would do this just like you would any point (x,y), but, for the x coordinates you will use the real part.
For the y coordinate you will use the imaginary part b.