"The meaning of the differential equation now follows:\frac{df(t)}{dt} = Af(t)expresses the claim that the rate of cha…"

"The natural exponential function is identical with its derivative. This is the source of all the properties of the ex…"

"The number e has an established place in mathematics alongside the Archimedian number π ever since the publication in…"

"To Euler is due the very remarkable formula e^{ix} = \cos{x} + i\sin{x}, which, for x = \pi becomes e^{i\pi} + 1 = 0,…"

"Euler wrote... Introductio in Analysin infinitorum, 1748, which was intended to serve as an introduction to pure anal…"

"The exponential function, y = ex, is the instrument used, in one form or another, to describe the behavior of growing…"

"There is a familiar formula—perhaps the most compact and famous of all formulas—developed by Euler from a discovery o…"

"Think of it: of the infinity of real numbers, those that are most important to mathematics—0, 1, √2, e and π…"

"... an understanding of the numerical value of the fine structure constant may emerge ... charge might be an emergent…"

"We know what kind of a dance to do experimentally to measure this number very accurately, but we don't what kind of a…"