Monk saw his side come from 2-0 down to level at 2-2 on Sunday, before Yaya Toure???s second goal and Wilfried Bony???s late strike against his former club gave City a 4-2 win.
???Obviously we???re disappointed with the result, but once again the player???s character was there for everyone to see. But we gave as good as we got,” said Monk.
???We had those great chances towards the end there but Joe Hart pulled off some great saves and it that???s why he???s such an excellent keeper.???
The England international made two stunning saves in quick succession to deny Pablo Hernandez and then Batefemi Gomis late in the second half.
The defeat means that although Swansea will not finish below eighth, they will also not be competing in the Europa League next season.
Monk added: “I think we’ve shown quite clearly with the run of form we’ve been on that we wanted to get into Europe.
“We pushed all the way to try to get there and it would have been a great reward for the season we’ve had.
“But hopefully now we have a chance to recruit properly and try to surpass what we have done this year in the Premier League, although we know it will be tough.”
He continued: “I think we proved we can do that ??? play football. We didn’t quite get a result, but I think we have shown what a strong group we’ve got and hopefully next season we can be even better.”