There are plenty of books online. I would recommend creating your own project and finding something specifically you would want to do with that topic. For a class project my group and I did something simple, like a minesweeper bot. It also included a screen scrapper to scrap from windows and created our own minesweeper game including the AI part. It had about a 30% failure rate because it would get stuck on the 50-50 chances of it picking the wrong square. But that was a lot of fun. We did a bunch of statistics on it also.

This is a very broad topic because it can range from everything from 2D to 3D and different genre games.

I read and enjoyed this one. I would recommend it to start: http://www.amazon.com/Behavioral-Mathematics-Game-AI-Applied...

It covers basics like game theory and goes into some of the mathematics and some code examples.

Here are some good slides from Valve on how they did Left For Dead http://www.valvesoftware.com/publications/2009/ai_systems_of...

Good luck, have fun