What are the most important mathematical prerequisites for machine learning?

Next week I like to start the machine learning class with Andrew Ng and now I like to brush up on some mathematical topics. My inquires let me to some recommendations: Linear Algebra: matrices Statistic: A/B test, t test, p-value, Probability measure Calculus: Gradient decent. Could someone recommend books that cover these topics. It would be good if the books have a mathematical, structured approach. As a plus these books could have some examples covering the machine learning aspects. And did I miss some mathematical topics? Some info about me: I have a MA degree in mathematics and have been working as software developer for about a year. My math skills might be a little rusty and I like to review some topics.


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