math vs mathematics

math and mathematics both are nouns.

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

As nouns, math and mathematics are synonyms defined as:

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

Other synonyms of math include maths.

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