Abstraction is hiding details of implementation as you put it.
You abstract something to a high enough point that you'll only have to do something very simple to perform an action.
Information hiding is hiding implementation details. Programming is hard. You can have a lot of things to deal with and handle. There can be variables you want/need to keep very close track of. Hiding information ensures that no one accidentally breaks something by using a variable or method you exposed publicly.
These 2 concepts are very closely tied together in object-oriented programming.