"Applied Stochastic Modeling" is a textbook that focuses on the fundamental theoretical tools for stochastic modeling. The authors discuss the most commonly used models in various applications, including Markov chains with discrete time parameters, hidden Markov chains, Poisson processes, as well as birth and death processes. The book provides specific examples and simulation methods that enable readers to apply the topics covered to different fields of knowledge. Practical applications include modeling the COVID-19 pandemic and modeling animal movements. The concise and rigorous presentation of the material ensures that the content is easily accessible to readers, allowing them to learn how to address and solve stochastic problems.