This talk is based on Tadashi Tokieda's wonderful talk (https://www.youtube.com/watchv=tQQ3oiB32GI&t=1s) as a part of ICTS's distinguished lecture series. To quote Tokeida, "Humans tend to be better at physics than at mathematics. When an apple falls from a tree, there are more people who can catch it—we know physically how the apple moves—than people who can compute its trajectory from a differential equation. Applying physical ideas to discover and establish mathematical results is therefore natural, even if it has seldom been tried in the history of science."
We will see how we can derive fundamental theorems like Pythagoras theorem, Cauchy-Schwarz inequality, AM-GM inequality among others using simple physics.