Derivation of relativistic momentum

Hi all,

Is it possible to derive the equation p = ymv, and hence based on this, kinetic energy formula, without referring to 4-vectors or 2-dimensional collisions, that is derive it in one dimension?

I tried this website/pdf but the mathematics is beyond my understanding. So could some one either explain the pdf, or derive the equation themselves?

Thanks.

Here is the link:

http://ift.tt/1qv5eTp