Is it permissible to give books containing aayaat from the Qur’aan to Christians?

Yes, it is permissible for you to give them books containing aayaat from the Qur’aan and to use (these quotations) to prove various issues, Tawheed and others, whether this is in Arabic or the meanings are translated. This is a deed for which you are to be commended, because giving them or lending them to them is a kind of conveying the message and calling them to Allaah (da’wah). The one who does this will be rewarded if his intention is sincere.