I would like a book that is about functions that are being equal up to order ν at α

Question

Two functions $f, g$ are said to be equal up to order $\nu$ at $\alpha$ if and only if

$\lim_\limits{x→\alpha} \dfrac{f(x)−g(x)}{(x−\alpha)^\nu}=0$

I would like to research this property (theorems for this, theorems from this, usages etc). Is there any book related to this?

Thanks in advance!