Functions, operators, and linearity: the language of abstract math (#SoME1)

Mathematicians and physicists often use abstract notation and terminology to reason about and describe problems at a level above the explicit details of the problem, but often take for granted that everyone already understands what they're doing and why. This video gives a short explanation of one of the more common abstractions in physics and engineering: operators. We'll go through the more familiar example of functions, introduce the idea of an operator, and try to motivate the use of operators with a couple of examples.