I'm looking for a textbook that introduces Taylor's theorem for multivariable functions. Specifically, I'm looking for a textbook that explains it in a way that is similar to as is done here, where it explains it clearly using vectors and Hessians (see the second half of the page).
I've tried using keywords to search through Google Books, but to no success. Every textbook explanation of this concept that I have come across (and there don't seem to be many) seems to be lacking detail and clarity, and is therefore seemingly far inferior to the one given on the aforementioned website.
I've also noticed that it is uncommon for this to be covered in multivariable calculus and, more generally, real analysis textbooks. I suspect that I should instead be looking for vector analysis textbooks? Even so, I'm not concerned with the specific type of mathematics textbook, as long as the concepts are explained in a clear and detailed manner, in a way that is similar to what is done on the aforementioned website.
I would greatly appreciate it if people could please help me out with this.