Book review: “Hurwitz’s Lectures on the Number Theory of Quaternions” by Nicola Oswald and Jörn Steuding

published his pioneering work Vorlesungen über die Zahlentheorie der Quaternionen in 1919, just before his death.In this remarkable booklet, he sought to make the number-theoretic aspects of quaternions widely accessible and to encourage his (younger) colleagues to engage in further research.Just over a hundred years later, Nicola Oswald and Jörn Steuding have translated, edited, and commented on Hurwitz's work in Hurwitz's Lectures on the Number Theory of Quaternions with largely the same goal in mind: to make these lectures broadly accessible.To further this goal, they also supplement their close