City are still six points behind Alex Ferguson’s Manchester United, who beat them a week ago, but, his players’ reaction at Saint James’ Park on Saturday, delighted Mancini.
However, there was an unsavory aftermath to the game when it emerged that Aleksandar Kolarov, the City defender, was the subject of a police investigation.
Kolarov, a Serbian, is believed to have had angry exchanges with a fan who was waving an Albanian flag.
There is a long history of bitter tension between Serbia and Albania over Kosovo, which unilaterally declared independence from Serbia in 2008.
A spokesman for Northumbria Police confirmed that they had received a report of racist language being used.
He added: “We take such allegations extremely seriously and inquiries are ongoing into the incident.”
City earned their win over Newcastle through goals from Sergio Aguero, Javi Garcia and Yaya Toure, but it was scant reward for the quality of their performance, particularly in the first half.
“The season is long,” said City coach Mancini.
“Sir Alex Ferguson knows that better than me. He knows this championship is not finished when there are only three games to the end. Now we have 21 games to the end, so it is still open.
“When you have a defeat against anybody, but in particular against United, it is important to win again very quickly—and we have started here, where I don’t think a lot of teams can win. I was very satisfied