Concurrent investigations have revealed that transforming finite trigonometric sums into linear combinations of polynomial sequences, such as the Bernoulli and Euler numbers, yields new generating ...

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 ...

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 ...

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 .