In this computer science lesson, you will be introduced to imaginary numbers and complex numbers. Imaginary numbers are multiples of the square root of -1, complex numbers are numbers that have both real and imaginary parts. Some people will tell you that there’s nothing imaginary about imaginary numbers. The truth is, you are going to have to use your imagination if you want to get to grips with them. It’s not at all obvious how imaginary numbers relate to the real world, which means lots of people never come across them, and many of those who do, find them challenging to say the least. Nonetheless, imaginary and complex numbers are well worth getting to know if you’re a student of computing, or science, because they’re so incredibly useful. They been crucial in the development of computer graphics and animation, WiFi, artificial intelligence, quantum computers, and so much more.
Chapters:
00:00 Introduction
01:10 Types of numbers
03:05 Arithmetic on the number line
04:32 Rules for multiplying signed numbers
04:45 Squares and square roots
05:52 Square roots of negative numbers
07:14 The Cartesian plane
08:17 The complex plane
09:54 Geometry and the square root of -1
13:05 The history of i
15:06 Complex numbers