Mathematicians once turned up their noses at imaginary numbers. But complex analysis actually simplifies math and physics.

Computer Proof ‘Blows Up’ Centuries-Old Fluid Equations For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. A new ...

Instead of memorizing several complicated trig formulas, you need only one equation to rule them all: Euler's 1740 formula. With decent algebra skills, you can manipulate Euler's formula to see ...