Listening to the talk about complex numbers, my hand suddenly stopped.A complex number is expressed asz = a + ib.a is the ...

To a nonmathematician, having the letter “i” represent a number that does not quite exist and is “imaginary” can be hard to wrap your head around. If you open your mind to this way of thinking, ...

Mathematicians were disturbed, centuries ago, to find that calculating the properties of certain curves demanded the seemingly impossible: numbers that, when multiplied by themselves, turn negative.

In the previous article “Do symmetries come with dimensionless numbers rather than conserved quantities?”, I introduced a ...

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 be ...

All non-trivial zeros of the zeta function have real part one-half. Unfortunately, all those negative even numbers are trivial zeros. So … where are these non-trivial ones? To answer that, I must take ...

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 parts: ...

Engineering involves a lot of math. And engineers sometimes get so involved in manipulating numbers that they forget some of the principles underlying the numerical manipulations they take for granted ...

The world of math is complex … in more ways than one. Sure, it’s full of complex ideas that are all tied up and packaged within beautiful and often times complex wrapping paper that is adorned with ...