"Euler wrote... in 1748 his Introductio in Analysin Infinitorum, which was intended to serve as an introduction to pur…"

"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…"

"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…"