The language plays funny games in extreme circumstances like this. This is a classic philosophical problem of identity. M B Drennan, Oxford UK Correct. It's not as simple as that.
Recent research indicates that muscle tissue throughout the body has an element of local memory.
While the electrical impulses in the brain generates most thought and sense of self you may well lose more of yourself than you know if you remove your brain to another body. In effect you would just be combining two amputees to form the sum of two parts, but never truly achieving a whole. In answer to Mark, I think that muscle memory refers only to the ability to perform tasks, so after a body transplant you may not be as good at say playing guitar because you don't have the dexterity. But you haven't lost the ability to play it just requires the muscles to be retrained. In the same way that after bad accidents physiotherapy may be necessary to retrain muscles to let the person walk.