For those who don’t know, and correct me if I’m wrong, Euler’s Formula is e^(xi) = cos(x) + isin(x) and Euler’s Identity is where “x” is equal to pi, therefore e^(πi) = -1. It’s fascinating to me how something so complex can be equal to something so simple (talking about Euler’s Identity). But what I don’t get is how they’re practical. What are they used for, and why are they important?
In: 3
exp(i*x) is used in nearly every aspect of science and engineering. The general form is a solution to many differential equations, and it represents waveforms and signals. It also makes complex numbers neater to work with. Whenever there is modelling of real physical systems, it will almost always pop up. Physics (electromagnetics, quantum mechanics, etc.) engineering (power systems, structural design, etc.), it appears in almost every field that is math heavy.
Latest Answers