Boiling water will only make it more wet. For getting it dry, a dehumidifier is the best way to go. Lifting the carpet as others have described will certainly accelerate the process.
Tool rental centers also usually rent fans that will help. They look like this:
http://www.cleanfreak.com/Qstore/c000076.htm
If you're looking for a way to keep the carpet dry, check out subflor. It's basically some Oriented Strand Board mated to rubber on the bottom that sits on the concrete floor:
http://www.subflor.com/home.asp