John Brown poured praise on his Dundee players after
The win was Brown's fourth in eight games since replacing Barry Smith and keeps alive Dundee's slim hopes of staying in the Scottish Premier League.
"I've got a group of guys in there who are fighters and they are playing some decent football too," said Brown.
"For every person who writes us off, we fight even harder. We are wanting to take it beyond next weekend."
Dundee were 15 points adrift at the foot of the SPL when Brown took over as interim manager.
Now, having been appointed to the role fully, his record stands at four wins, three draws and one defeat.
Bottom side Dundee are currently eight points behind St Mirren, who drew 3-3 with Hibernian at Easter Road, with three games to go in the campaign.
"We are happy. It takes it down another week," said Brown, whose team host Aberdeen next Sunday.
"I've got to take my hat off to all the players. These guys are amazing me every game. I think we got the goal we deserve.
"This means the world to the club. Everybody wrote us off.
"We are getting results. That's another victory. I believe Hearts are playing St Mirren at Tynecastle next week and, with the effort they put in, St Mirren will find it very difficult."
Dundee's cause was aided by the dismissal of Hearts centre-half Andy Webster in 28 minutes for a second bookable offence and they made the vital breakthrough when Ryan Conroy's long-range free-kick was deflected into the net with eight minutes remaining.
"I have to pay credit to Gary Locke's Hearts lads," Brown told BBC Radio Scotland.
"For a long period in the game they made it very difficult for us so full credit to him.
"But we kept at it. Ryan's got a few goals this season - I have been trying to encourage him to have more efforts at goal."