To a nonmathematician, having the letter "i" represent a number that does not quite exist and is "imaginary" can be hard to ...

With decent algebra skills, you can manipulate Euler’s formula to see that most of the ... number” – and others have observed, complex numbers make seemingly impossible integrals easy ...

the world of complex analysis. 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.

The zeta functions arising in seemingly different scenarios tend to have some features in common: meromorphic extension to the complex plane, location of poles and zeros, the Euler product formula, ...

Scientists have long sought to unravel the mysteries of strange metals—materials that defy conventional rules of electricity ...