Probability

Probability with Martingales by David Williams

Probability: Theory and Examples by Rick Durett (warning: deliberately concise)

Theoretical Statistics

Section 1-4 (especially 3) of Casella and Berger

All of Statistics by Wasserman is a nice and quick overview of a lot of topics at the undergrad level

Optimization

 Intro to Linear Optimization by Bertsimas & Tsitsiklit
Convex optimization by Vandenberghe & Boyd (free online)
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