Uploaded August 2022 | Updated September 2026, 2 weeks ago
I gave a talk at my high school today and it got me thinking again about my experience of being labelled "bad at mathematics" and eventually doing my PhD at the University of Cambridge.
Btw, just because I think people will be confused, my field (quantum computing) is cross disciplinary, but at Cambridge it was in the maths department. I never know whether to call myself a physicist or a mathematician.
I gave a talk at my high school today and it got me thinking again about my experience of being labelled "bad at mathematics" and eventually doing my PhD at the University of Cambridge.
Btw, just because I think people will be confused, my field (quantum computing) is cross disciplinary, but at Cambridge it was in the maths department. I never know whether to call myself a physicist or a mathematician.
![Fourier Series
Fourier transform: https://youtu.be/Xxut2PN-V8Q
In this video, I explain what the Fourier series does, and why it is one of the most surprising results in mathematics.
All the plotted graphs in this video were done in Mathematica. If you dont have the program then you can use the free internet version called Wolfram Alpha. To find the nth order Fourier series of f(x) in either of these, use: FourierTrigSeries[f(x),x,n] or FourierSeries[f(x),x,n] for the exponential version.
If you want to know how to do something more specific (for example code up the Cantor function) then let me know, Ill send it to you. Thank me later when youre spending all your free time plotting graphs.
And finally if you want to see an application of this stuff, this was the first ever application:
http://en.wikipedia.org/wiki/Heat_equation#Solving_the_heat_equation_using_Fourier_series Fourier Series](https://i.ytimg.com/vi/kP02nBNtjrU/mqdefault.jpg)









