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The Mathematical Investigations of Dr. O and Arya follows
the two title characters as they solve various mathematical
conundrums—ranging from secret codes, to operations, to
prime numbers. Not only will readers enjoy the illustrations
and interactions between Dr. O and Arya, they will also
immensely enjoy the challenges presented in each chapter.
Winner of Silver Medal, Children-Education Category, 2021
FAPA (Florida Authors & Publishers Association) 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 as they discuss the origins of the book, and how Dr. O survives a
scary moment!
(Amazon author page)
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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.
Adopting a unique application-driven approach to better study probability in action, the
book emphasizes data, simulation, and games to strengthen reader insight and intuition
while proving theorems. Additionally, the text incorporates codes and exercises in the
Julia programming language to further promote a hands-on focus in modelling. Students
should have prior knowledge of single variable calculus.
"One of the best new Undergraduate books" -
BookAuthority
"One of the best new Randomized Algorithms books" -
BookAuthority
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First Semester in Numerical Analysis with Julia presents the theory and methods, together
with the implementation of the algorithms using the Julia programming language
(version 1.1.0). The book covers computer arithmetic, root-finding, numerical quadrature
and differentiation, and approximation theory. The reader is expected to have studied
calculus and linear algebra. Some familiarity with a programming language is beneficial,
but not required. The programming language Julia is introduced in the book.
The simplicity of Julia allows bypassing the pseudocode and writing a computer code
directly after the description of a method while minimizing the distraction the
presentation of a computer code might cause to the flow of the main narrative.
Instructors interested in adopting this textbook can contact the author
at okten@math.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.
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The content of this book is the same as the First Semester in Numerical Analysis with
Julia.
The computer codes used in this book are written in Python.
This book is an Open Educational Resource published by Auraria Library, University of
Colorado Denver, 2020.
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The Chinese translation of First Semester in Numerical Analysis with Julia, translated
by Mingren Shi, and published
by China Machine Press, 2021.
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