This feature includes problems and videos taken from our newly published Adventures with Complex Numbers collection.
The problems follow on from those published in our Imagine This feature earlier this year, so you might like to look at those first if you haven't already seen them.
problem
Into the wilderness
Age
14 to 18
Challenge level
Let's go further and see what happens when we multiply two complex numbers together!
problem
Complex puzzle
Age
14 to 18
Challenge level
Can you use everything you have learned about complex numbers to crack this puzzle?
problem
Mapping the territory
Age
14 to 18
Challenge level
Can you devise a system for making sense of complex multiplication?
page
Complex Numbers - Power
Professor Chris Budd looks at how complex numbers play a crucial role in the electricity networks that power our daily lives.
page
Complex Numbers - Insight
Dr Holly Krieger explains how she uses complex numbers to understand dynamical systems, including beautiful fractals.
page
Complex Numbers - Strength
Professor Ahmer Wadee shows us how complex numbers make structures safe.
list
Adventures with Complex Numbers
Age
14 to 18
Challenge level
This collection is designed to give an introductory taste of complex numbers.
problem
Complex squares
Age
16 to 18
Challenge level
What happens when we square complex numbers? Can the square of a complex number be real?