Imaginary numbers may seem abstract or even whimsical at first, but they are far from being mere mathematical curiosities. In fact, they are a natural extension of our number system, leading to a ...

The imaginary part is a multiple of the number i, “the square root of minus one”, which is defined by the equation i ² = –1.

Imaginary numbers could play a more important role in describing reality than we thought.

Imaginary numbers might seem like unicorns and goblins — interesting but irrelevant to reality. But for describing matter at its roots, imaginary numbers turn out to be essential. They seem to ...

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 ...