As an assignment my professor recommended looking for information about multiple Riemann integration. That is, as in the $\mathbb{R}$ case, using partitions on an interval (in this case it would have to be an $n-$dimensional interval), Riemann sums over those partitions, upper and lower sums, Jordan content as a multiple Riemann integral, and the middle value theorem for these multiple Riemann integrals. However, I've reviewed every book in my library and none of them have this information on it. I can search each of this topics by its own but at the moment I haven't had great success and a book with all these topics included would be nice to read.
That's why I'm interested in books or articles treating most (if not all are possible) of the mentioned topics.
