We would call that, Coping stones which you can get in various widths, concrete cast.
You can get once or twice weathered, once weathered is nearly flat, slight slope.
Twice weathered is slanted both sides.
You could also cast them in situ, quite a bit more work involved, I wont go into the details as I dont know how competent you would feel as its quite a steep cast, the material will slump a lot, but basically you would be starting with a stiff mix, working up to a trowelable finish, the top edges would be finished with a round edged trowel.
I wouldnt advise doing the last method now, as temperatures are forecast to drop, you would need plenty of wintermix and cover well, and those no gaurantee the frost wont kill it.
If you go on Bradstones site, you might find some stone copings to match, if not they can make the stones to suit, but would charge you for making the
mould if they dont have any in their stores.
In my opinion the copings are beyond repair and you will be forever patching them.