Great Mathematicians, Great Mathematics

Euler's Exponentials by Professor Raymond Flood. Leonhard Euler was the most prolific mathematician of all time. He introduced the symbols e for the exponential number f for a function and i for √-1. He discovered what many mathematicians consider to be the most beautiful expression in mathematics, eix = cosx + isinx: a relation connecting the exponential and trigonometric functions. The exponential function and its inverse the logarithm function appear throughout mathematics and its applications, in physics, engineering, mathematical biology, chemistry and economics. (from

Euler's Exponentials

Go to the Series Home or watch other lectures:

01. Fermat's Theorems
02. Newton's Laws
03. Euler's Exponentials
04. Fourier's Series
05. Mobius and his Band
06. Cantor's Infinities
07. Einstein's Annus Mirabilis, 1905
08. Hamilton, Boole and their Algebras
09. Charles Babbage and Ada Lovelace
10. Gauss and Germain
11. Hardy, Littlewood, Cartwright and Ramanujan
12. Turing and von Neumann