I just recently bought an old copy of "The Complete Chess Player" and have found that the notation is not the same as what I have seen in the two years since I started playing. Are there many ways to notate a chess move or is this antiquated and would there ever be reason to learn both? 

I assume the book is in discriptive notation, things like P-KKt4, Kt-QB3, and BxP (correct me if i am wrong). It is rather out dated but still a useful to know as many older books contain it. I personally prefer it over algebraic notation.

It is descriptive notation just as you have illustrated. It is not complicated in theory, but the fact that both black and white have separate descriptions makes it bit cumbersome for me. I am thinking that I am going to just purchase a newer version and spend my time learning more about chess and less about different ways of notation.