Recommendations for machine learning book? I am a microbiologist and I am currently self-studying machine learning from some open lecture videos. I am finding it pretty difficult to understand proofs that are somewhat "obvious", my poor mathematical knowledge is to blame for that. Can you please recommend a text-book that deals with the mathematical proofs of the theorems? Or approaches machine learning from the mathematical side?
MOOC Course on Machine Learning: https://www.coursera.org/course/ml 

Guide to Mathematical Proofs from berkeley: https://math.berkeley.edu/~hutching/teach/proofs.pdf 

Enjoy!