mathematics vs transformation

mathematics and transformation both are nouns.

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

mathematics (noun)	transformation (noun)
a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement	the act of changing in form or shape or appearance
	(genetics) modification of a cell or bacterium by the uptake and incorporation of exogenous DNA
	a rule describing the conversion of one syntactic structure into another related syntactic structure
	a qualitative change
	(mathematics) a function that changes the position or direction of the axes of a coordinate system