Books

The Mathematical Investigations of Dr. O and Arya

Dr. O and Arya solve mathematical conundrums—secret codes, operations, prime numbers—through illustrated stories and chapter challenges.

Winner of Silver Medal, Children–Education Category, 2021 (FAPA President’s Book Awards).

Winner of Silver Medal, Older Children’s Literature Category, 2020 (Florida Book Awards).

Watch Dr. O and Arya on YouTube for the online book release sponsored by Tumblehome and Leon County Public Library.

Watch Dr. O and Arya discuss the origins of the book—and how Dr. O survives a scary moment! (YouTube)

Probability and Simulation

An inquiry-based first course in probability: axioms through Bayes’ theorem, discrete/continuous variables, Markov chains, Brownian motion, plus applications including randomized algorithms, surveys, Benford’s law, and Monte Carlo methods.

The book emphasizes data, simulation, and games to build intuition while proving theorems, and includes code/exercises in Julia. Students should have prior knowledge of single-variable calculus.

First Semester in Numerical Analysis with Julia

Theory and methods with implementation in Julia (v1.1.0): computer arithmetic, root-finding, quadrature and differentiation, and approximation theory. Requires calculus and linear algebra; programming helpful but not required.

The programming language Julia is introduced in the book. The simplicity of Julia allows bypassing pseudocode and writing code directly after the description of a method while minimizing distraction from the main narrative. Instructors interested in adopting this textbook can contact the author at okten@fsu.edu to request the source code and exercise answer key. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike, CC BY-NC-SA 4.0.

This book is an Open Educational Resource published by Florida State University Libraries, 2019.

Read reviews on University of Minnesota Open Textbooks repository.

First Semester in Numerical Analysis (Python)

Same content as the Julia edition, with computer codes written in Python.

This book is an Open Educational Resource published by Auraria Library, University of Colorado Denver, 2020.