These types of things are always humbling to me. As an engineer, I consider myself "good at math." And next to the average business, history or lit major, I probably am.Fwiw, Lebesque Integration is more general than Riemann Integration (if a function is Riemann Integrable, then it is Lebesque Integrable, and you’ll get the same answer). It’s a really very clever, commonsensical generalization, “of course, why didn’t I think of that?” Very cool stuff, although I’m not sure why a physicist would need to know it. (Riemann works fine in physics, is what I’ve thought.)
Fwiw, Lebesque Integration is more general than Riemann Integration (if a function is Riemann Integrable, then it is Lebesque Integrable, and you’ll get the same answer). It’s a really very clever, commonsensical generalization, “of course, why didn’t I think of that?” Very cool stuff, although I’m not sure why a physicist would need to know it. (Riemann works fine in physics, is what I’ve thought.)