analytic vs mathematics

analytic is not a noun while mathematics is a noun.

Word	Noun	Adjective	Verb	Adverb
analytic	No	Yes	No	No
mathematics	Yes	No	No	No

analytic (noun)	mathematics (noun)
	a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

analytic (adjective)	mathematics (adjective)
of a proposition that is necessarily true independent of fact or experience
expressing a grammatical category by using two or more words rather than inflection
using or skilled in using analysis (i.e., separating a whole--intellectual or substantial--into its elemental parts or basic principles)
using or subjected to a methodology using algebra and calculus