I have been studying physics for two years. (High school physics supplemented by the Feynman lectures, as well as an algebra based freshman course) Lately, I've been looking of various derivations of things (escape velocity, kinematic equations etc.) and wondering which is more elegant in a physical proof of a concept or equation. Is it calculus or algebra? Calculus, in it self is elegant, but in algebra is more simplistic, and is accessible to a wider audience. I'm slightly partial towards calculus as being more elegant, but I could be swayed either way. What are your thoughts?