Exactly as Stepan said. Also, the vast majority of analytical Chemistry (including analytical chemistry books) is more geared toward quantification and determination of mixtures. Analytical chemistry is not usually considered determining the actual identity (NMR,IR, crystal structure, etc). That is to say analytical chemist typically do not do that but they can, typically it is the other fields of chemistry that does that.
It is true that without analytical chemistry we would not know all we know today; but without physical chemistry (and physics) we would never had a theory for the structure of the atom; and if there is no theory how could you even begin to use analytical chemistry defined as broadly as you want to test your theory?