In my opinion, there's one book that explains anything and everything you might want to know. If you're just beginning to get into responsive web design, I'd start with this:
Responsive Web Design - Ethan Marcotte
To my understanding, Ethan is known as the "guy who started the movement". I can personally attest that the book has been of immense help to me. I'm not even sure quite frankly that you need to use a framework. If you code your website with the best practices the first time and build it as fluid as possible (even if you wrap within a 960px wide div) then resizing downwards from there using CSS media queries is a snap. I'd also check out the book Mobile First by Luke Wroblewski.
You can even buy these books as a bundle. They're quick reads, you can read each of them in an afternoon. These two books got me into responsive web design, I couldn't suggest checking them out enough!