mathematics vs continuous

mathematics is a noun but continuous is not a noun.

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

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

mathematics (adjective)	continuous (adjective)
	continuing in time or space without interruption
	of a function or curve; extending without break or irregularity