Why are the Fourier transform, Laplace Transform, etc called transforms, and not transformations?
This is about linguistics or terminology in mathematics. I feel there should be a reason why the word 'transform' used for such mathematical objects.
Is 'transform' as a noun, an invented word (coined word) for mathematics?
I have to name a concept in the context of functional programming, and want to know which name is suitable for it:
transform, transformation, map, homeomorphism, morphism, etc.
My name needs to be defendable for people in management and BAs (which are not Mathematicians).