This introduction can be used, at the beginning graduate level, for a one-semester course on probability theory or for self-direction without benefit of a formal course; the measure theory needed is developed in the text. It will also be useful for students and teachers in related areas such as finance theory, electrical engineering, and operations research. The text covers the essentials in a directed and lean way with 28 short chapters, and assumes only an undergraduate background in mathematics. Readers are taken right up to a knowledge of the basics of Martingale Theory, and the interested student will be ready to continue with the study of more advanced topics, such as Brownian Motion and Ito Calculus, or Statistical Inference.
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Review: Probability EssentialsUser Review - Evan - Goodreads
Now that's a nice book to take with you to the pool and relax on a hot summer day! All those nice reads!! Highly recommended if you feel guilty with your Ph.D. research, and you want to freshen-up on your measure-theoretic probability (don't we all??) Read full review