correspondence vs math

correspondence and math both are nouns.

Word	Noun	Adjective	Verb	Adverb
correspondence	Yes	No	No	No
math	Yes	No	No	No

correspondence (noun)	math (noun)
similarity by virtue of corresponding	a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
compatibility of observations
(mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane
communication by the exchange of letters
the relation of corresponding in degree or size or amount