Is there a difference between transform and transformation?
A transformation is certainly a process. The word "transform" can be used as short for "transfomation", but also for a transformed object. An example for the first usage is
"The Fourier transform is an automorphism of the Schwartz space ${\cal S}\,$",
an example for the second usage is
"The Laplace transform of $t\mapsto e^{\lambda t}$ $\>(t\geq0)$ is $s\mapsto{\displaystyle{1\over s-\lambda}}\>$".