Fourier Series/ transform demonstration

[MrAlbot]

Hey guys!

if anyone can help me I guess it is you! :)

I'm trying to find the Fourier Series demonstration to continuous and periodic functions.

I don't understand why people keep using X(jw) and X[e^jw] and even sometimes X(w) and X(f)

If anyone can help me I'm really not understanding that!

Best regards

Peter

 

[MrAlbot]

I'm trying to understand why in my Signals and Systems they use X(jw) (and X[e^jw] in disrete signals) and in my telecomunications class they use X(f) and what does it change, and why can they change that. I have no problem going into deep mathematics if that means understanding it. I feel like only after understanding this Fourier series/transform Laplace and Z transform will make sense in my head and I'll be able to sleep at night if I get this right into my head. ^^

Thanks again.