Complex Numbers Further

A Brief Introduction to Complex Numbers

Age 14 to 18 Challenge Level:

In this problem, we define complex numbers and invite you to explore what happens when you add and multiply them.

A Brief Introduction to the Argand Diagram

Age 14 to 18 Challenge Level:

Complex numbers can be represented graphically using an Argand diagram. This problem explains more...

Complex Squares

Age 16 to 18 Challenge Level:

What happens when we square complex numbers? Can the square of a complex number be real?

Thousand Words

Age 16 to 18 Challenge Level:

Here the diagram says it all. Can you find the diagram?