For probability, "Introduction to Probability" (http://www.athenasc.com/probbook.html) is the best I've come across. I am not sure if this might be a bit basic for you, since you say you have a strong background in math, but do take a look at the TOC.

I still haven't come across an equivalent book on statistics. If anyone knows a good book, I'd be very grateful if they'd post the details