I've always found artificial intelligence interesting, and took a uni course in basic AI; the final project was to write a C++ program which solved Sokoban puzzles. This has motivated me to study AI further.
I am therefore interested in which AI books or material you would recommend? I'm particularly interested in game AI, but am also interested in image recognition. But if you know any good AI books in other fields, add them too. If any recommendation has deep mathematical knowledge as prerequisite, please state so. Not that I'm expecting any which does not require it, but at least I'll be prepared.