"I'm delighted for the players after that," Sky Sports News quotes Brown as saying. "They gave me everything and that's all all I can ask for.
"They never looked like giving in even when we went down 1-0 in the first half and weren't playing all that well, so they deserved to get the win in the end.
"They showed what they're all about and to keep going the way they did speaks volumes for them. We need everyone pulling together which is what we got tonight."
The result leaves Dundee 14 points adrift of 11th-placed St Mirren in the table.