Imaginary numbers can seem confusing at first, but they play a powerful role in mathematics and real-world applications. This guide explains what imaginary numbers are, why they exist, and how they ...

Imagine winding the hour hand of a clock back from 3 o’clock to noon. Mathematicians have long known how to describe this rotation as a simple multiplication: A number representing the initial ...

Have you ever sat in a math classroom and wondered, “When will I ever use this?” You might have asked yourself this question when you first encountered “imaginary” numbers, and with good reason: What ...