A general solution to the cubic equation was long considered impossible, until we gave up the requirement that math reflect reality.

If you have ever read advanced textbooks or papers about electronics, you may have been surprised to see the use of complex numbers used in the analysis of AC circuits. A complex number has two ...

He was inspired by a remarkable way of representing two-dimensional rotations. The trick was to use what are called “complex numbers”, which have a “real” part and an “imaginary” part.

The imaginary number takes mathematics to another dimension. If the square root of +1 is both +1 and -1, then what is the square root of -1? The imaginary number takes mathematics to another ...

Then it is shown how to effectively classify all totally imaginary quadratic extensions of class number 2. This monthly journal, published since 1900, is devoted entirely to research in pure and ...