by Durrett: Recommended for a solid grounding in martingales, Markov chains, and Brownian motion.
: You can find it at retailers like Walmart or Barnes & Noble . Alternative "Deep" Resources
by Sidney Resnick: Praised for detailed explanations and a mix of simple and elaborate exercises. For Applied & Computational Use Basic Stochastic Processes
by Pierre Devolder: Focuses on stochastic calculus, Lévy processes, and the Black-Scholes model. Ideal for actuaries or risk managers. Available at Barnes & Noble . For Rigorous Mathematical Theory
by Bruce Hajek: A highly-regarded free resource for engineering students. by Durrett: Recommended for a solid grounding in
: Best for those who want to see these processes in action using programming.
: The book is "interlaced" with numerous exercises that are essential to the learning path, rather than just optional practice. For Applied & Computational Use by Pierre Devolder:
: Probability theory (random variables, expectation, laws of large numbers) and calculus.