I've always seen older books talking about relativistic mass all over their special relativity introduction $m=\gamma m_0$. But I can't stand it. It makes no sense to define this quantity at all.
To explain myself, mass can't be measured for a moving object, so why even bother bringing this concept up in the first place. Also, it is not needed in any way to derive any other formula from special relativity.
I just think it's pointless to even point out that mass could change for a moving particle when no one could ever measure it.
Maybe I'm wrong in all my explanation, if so, is there any meaningful use of this relativistic mass?