I guess this may seem stupid, but how calculus and real analysis are different from and related to each other?
I tend to think they are the same because all I know is that the objects of both are real-valued functions defined on $\mathbb{R}^n$, and their topics are continuity, differentiation and integration of such functions. Isn't it?
- But there is also $\lambda$-calculus, about which I honestly don't quite know. Does it belong to calculus? If not, why is it called *-calculus?
- I have heard at the undergraduate course level, some people mentioned the topics in linear algebra as calculus. Is that correct?
Thanks and regards!