Euler’s identity is an equality found in mathematics that has been compared to a Shakespearean sonnet and described as " the most beautiful equation." It is a special case of a foundational ...

We provide a proof of Euler’s sine product formula using simple techniques of calculus and illustrate how our method can be used to prove similar product formulas for cosine as well as hyperbolic sine ...

Lars Holst, Proof of Euler’s Infinite Product for the Sine, The American Mathematical Monthly, Vol. 119, No. 6 (June‒July 2012), pp. 518-521 ...

Euler’s formula involves five fundamental constants: 0, 1, i, e, and Pi, and on adding equality, addition and exponentiation, combines them into a seven-symbol word in a mysterious and useful way.

More generally, if we triangulate a surface and find Euler’s number X, we can be sure that there are N = ( 1 – X / 2 ) holes in it. Euler's formula has some sporting implications.

The hero of the book is Leonhard Euler (1707–83), who was one of the most prolific mathematicians ever, continuing to publish large numbers of papers even after going blind in 1766.