How can one have Physics without Mathematics? Love them both. Thank you again for your help and (perhaps more importantly) your time. As I read through Spivak's book, I will likely find myself on this wonderful site once again. I hope we bump into each other (in whatever ways one could "bump" into another over the internet) again. Thank you micromass (by the way, almost everything on this site suggests that you have a background in physics such as your name and signature. I understand now why it is foolish to assume.).