I love him as a character as well, his development is so fluid and well done. I suppose when the next book comes out we will know whether Jaime gets a chance at redemption (fingers crossed for a yes) One of my favorite lines of his, not in the books i don't think but in season 1 of the HBO series, when Robert asks him if Aerys had any last words before Jaime betrayed him, and Jaime responds (every so cooly, as only he can) "He said the same thing he'd been saying all day...'burn them all'". For me, that line sums up a large portion of who he is as a character. I was very happy when we got him as a POV in the books.