Probability and Simulation, 1st ed. 2020 Springer Undergraduate Texts in Mathematics and Technology Series

This undergraduate textbook presents an inquiry-based learning course in stochastic models and computing designed to serve as a first course in probability. Its modular structure complements a traditional lecture format, introducing new topics chapter by chapter with accompanying projects for group collaboration. The text addresses probability axioms leading to Bayes? theorem, discrete and continuous random variables, Markov chains, and Brownian motion, as well as applications including randomized algorithms, randomized surveys, Benford?s law, and Monte Carlo methods.

Giray Ökten received his PhD from Claremont Graduate University. He has held academic positions at University of Alaska Fairbanks, Ball State University, and Florida State University. He received a Fulbright U.S. Scholar award in 2015. He is the author of an open access textbook in numerical analysis, First Semester in Numerical Analysis with Julia, published by Florida State University Libraries, and a co-author of a children?s math book, The Mathematical Investigations of Dr. O and Arya, published by Tumblehome. His research interests include Monte Carlo methods and computational finance.

Presents an inquiry-based learning approach

Aims to teach probability through games, data, and simulations

Integrates the Julia programming language in-text to write codes for simulation and data analysis

Includes significant projects at the end of each section for student collaboration and further study

Includes supplementary material: sn.pub/extras