To be a pedant, Golly Gee, it is only oxidation if loss of electrons takes place.
We have learnt a little sort-of-acronym: LEO says GER.
Lose Elecrons: Oxidation (Oh, how I love recursive hardlinking), Gain Electrons: Reduction. These two reaction types form the two halves of redox chemistry.
Yes, the one that gains electrons IS an oxidising agent, but it is the other one which is actually oxidised.