As noted in the ratings section, there are many ways to solve a Sudoku puzzle. Some of the techniques involve placing a number in a given square, some let you work out where numbers cannot be until there is only one option. Some of the techniques are simple, some are quite complicated. They are presented here in order of difficulty for a human to implement.
For more descriptions of techniques not listed here, you can check out this sticky note. in the sudoku programmers forum. Ruud has done a great job of pulling together the descriptions from various forums and sites into one place. If you can't find the answers you're looking for here, then this is a good place to try.