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?