18: Frequency (Fourier and Related Analyses)

Duration and proximity are, as demonstrated by Fourier and later Einstein and Heisenberg, very closely related properties. These properties are related by a fundamental concept: frequency. A high frequency describes something which changes many times in a short amount of space or time, and a lower frequency describes something which changes few times in the same time. It is even true that, in a sense, you can 'rotate' space into time. So what have we learned from frequencies? How have they been studied? And how do they relate to the rest of mathematics? ---  This episode is sponsored by  · Anchor: The easiest way to make a podcast.  https://anchor.fm/app Support this podcast: https://anchor.fm/breakingmathpodcast/support