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 ...

Euler’s identity is a special case of a foundational equation in complex analysis, Euler’s Formula, which he discovered in 1744.

Realized by the 18th century Swiss polymath Leonhard Euler, the equation establishes the foundational link between complex exponential and trigonometric functions.

It is hard to pick a single most beautiful equation in mathematics, but I think that the Euler product formula would be near the top of any such list. Let me extol the virtues of this formula.

New quantum mechanics research is introducing an advanced Pi formula, optimizing complex computations and reshaping scientific precision.© blackdovfx - Getty Images ...

Nature Physics - A complex beautyPaul Nahin's book presents the Euler formula as the point of departure (and, implicitly, as an alibi and an excuse) for an extensive romp through the theory of ...

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.

What do you get for your leap of faith in complex numbers? For one, trigonometry becomes a lot easier. Instead of memorizing several complicated trig formulas, you need only one equation to rule ...

Taylor’s expansion offers a way to understand the complex and peculiar expression eip from Euler’s equation. That expression raises e to the power of i, which is a perplexing concept.

An extraordinary crop circle based on the 'world's most beautiful maths theorem' has appeared in a field next to a windmill in Wiltshire.