Probability: An Introduction Through Theory and Exercises

This textbook offers a complete one-semester course in probability, covering the essential topics necessary for further study in the areas of probability and statistics.

The book begins with a review of the fundamentals of measure theory and integration. Probability measures, random variables, and their laws are introduced next, along with the main analytic tools for their investigation, accompanied by some applications to statistics. Questions of convergence lead to classical results such...