For one, trigonometry becomes a lot easier. Instead of memorizing several complicated trig formulas, you need only one equation to rule them all: Euler's 1740 formula.

Understanding Euler’s Number (e) Euler’s number e is a mathematical constant that begins with 2.71828. Just like pi (π), it is non-terminating, which means it goes on and on.

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 ...

Mark McKinzie, Curtis Tuckey, Higher Trigonometry, Hyperreal Numbers, and Euler's Analysis of Infinities, Mathematics Magazine, Vol. 74, No. 5 (Dec., 2001), pp. 339-368 ...

Euler’s identity: Math geeks extol its beauty, even finding in it hints of a myste­rious connected­ness in the universe. It’s on tank tops and coffee mugs. Aliens, apparently, carve it into ...