Leeds University Library

Complex numbers

Complex numbers are numbers of the form a+bi, where a and b are real numbers and i is the imaginary number defined as the square root of -1.
Knowing how to work with complex numbers can greatly improve your ability to solve advanced mathematical problems.

As well as being used in mathematics, complex numbers occur in practical problems in physics, chemistry, engineering, economics and statistics.

In these videos you'll learn how arithmetic works for complex numbers, and solve various problems involving complex numbers.

You can navigate through the videos by clicking on the three-bar menu icon in the top left of the video and selecting the one you would like to watch from the playlist. The playlist is also shown below.

Playlist consists of:
  1. Argand Diagrams
  2. Argand Diagrams: addition
  3. Argand Diagrams: subtraction
  4. Argand Diagrams: module and argument
  5. Addition and subtraction
  6. Division
  7. Multiplication
  8. Log
  9. Roots
  10. DeMoivre's Theorem 1
  11. DeMoivre's Theorem 2
  12. Polar form
  13. Polar form: division
  14. Polar form: multiplication
  15. Powers of i: basic
  16. Powers of i: higher