Complex numbers: Insight

Share this page

In pure mathematics complex numbers are a great tool to explore dynamical systems. In this video mathematician Holly Krieger gives an example of a dynamical system and how complex numbers come into the picture.

To find out more about complex numbers and their uses, see this collection of articles and videos. In particular you might want to read What is the Mandelbrot set?.

Holly Krieger is a lecturer at the Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, and Fellow and Director of Studies at Murray Edwards College.

  • Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.

  • What do chocolate and mayonnaise have in common? It's maths! Find out how in this podcast featuring engineer Valerie Pinfield.

  • Is it possible to write unique music with the limited quantity of notes and chords available? We ask musician Oli Freke!

  • How can maths help to understand the Southern Ocean, a vital component of the Earth's climate system?

  • Was the mathematical modelling projecting the course of the pandemic too pessimistic, or were the projections justified? Matt Keeling tells our colleagues from SBIDER about the COVID models that fed into public policy.

  • PhD student Daniel Kreuter tells us about his work on the BloodCounts! project, which uses maths to make optimal use of the billions of blood tests performed every year around the globe.