Is there a difference between transform and transformation? I was told that there is a difference between a transform and a transformation. Can anyone point out clearly? 
For example, is Laplace transform not a transformation?

To my mind (a mathematical physicist), a transform is a specific kind of transformation, namely, a transformation not of values, but of functions. So, a transformation $N$ maps a value $x$ onto its image value:
$N: x \to N(x)$
whereas the transform $M$ maps a function $f$ onto its image function:
$M: f(x) \to F(y)$
The reason we call the Fourier transform a transform is because, although it is indeed a transformation, it is in particular a transformation of functions, since it maps an entire function $f(x)$ onto its frequency spectrum $F(p)$.
