Learning about vector valued functions, there is this page I like with not overly technical, short explanations and exercises.
The particular topic is vector valued functions. Is there any resource with nice examples of applications you'd recommend so I could train this knowledge?
More than a book, it'd be nice if you know something short, to the point like the resource I'm including, but anything is fine!
In particular, when I saw this vector function: $$\vec{f}(x,y,z) = (x^2\,y^2z,y + \sin(z))$$
I've no idea what something like this could be useful for, and can't visualize it either, I don't know if there is any software for such a thing.