transformation vs mathematics

transformation and mathematics both are nouns.

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

transformation (noun)	mathematics (noun)
the act of changing in form or shape or appearance	a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
(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