Arun Iyer, I work in a small corner of the big room of ML.
At ycombinator, somebody posted a list of books recommended by Michael Jordan  sometime back. Since you have already done with Linear Algebra and Statistics, then you should probably go ahead with this list. Reproducing the list from the link below:
1.) Casella, G. and Berger, R.L. (2001). "Statistical Inference" Duxbury Press. 2.) Ferguson, T. (1996)....
"The problem with human understanding is it is, by necessity, a shortcut. We don’t all have time to run double-blind experiments on the health benefits of vegetables - so we have to take somebody’s word for it."