What is an accessible introduction to Percolation Theory? What is the best place to start for someone in Computer Science with a graduate level background in linear algebra, probability theory, and graph theory?
I can't give you a comparison of different options but I can at least tell you that I (having that background) really liked Grimmett's book.

As an aside: would this have been better as a comment?  I was debating with myself and could not decide.