Fourier analysis encompasses a vast spectrum of mathematics which is often deemed confusing and sometimes frightening to those studying it. The tracks in this album aim to de-mystify the ideas behind the Fourier series and illustrate some of the numerous applications that exist, from telephony to stocking supermarket shelves. This material makes up part of the course MST209, Mathematical methods and models.
Transcript -- A short introduction to this album.
A comparison between the waveforms produced from a single note on both the flute and violin.
Transcript -- A comparison between the waveforms produced from a single note on both the flute and violin.
Demonstrating why someone sounds different on the phone, rather than in person, using the Fourier series.
Transcript -- Demonstrating why someone sounds different on the phone, rather than in person, using the Fourier series.
How supermarkets use the Fourier series to forecast their stock levels.
Transcript -- How supermarkets use the Fourier series to forecast their stock levels.