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 ...

John V. Baxley, Euler's Constant, Taylor's Formula, and Slowly Converging Series, Mathematics Magazine, Vol. 65, No. 5 (Dec., 1992), pp. 302-313 ...

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 ...

A stretch too far, perhaps, but Nahin’s tale of the formula ei π + 1 = 0, which links five of the most important numbers in mathematics, is remarkable.