Euler's Equation: 'The Most Beautiful Theorem in Mathematics'

Euler's pioneering equation, the 'most beautiful equation in mathematics', links the five most important constants in the subject: 1, 0, π, e and i. Central to both mathematics and physics, it has also featured in a criminal court case, on a postage stamp, and appeared twice in The Simpsons. So what is this equation - and why is it pioneering? The transcript and downloadable versions of the lecture are available from the Gresham College website: https://www.gresham.ac.uk/lectures-and-events/...