Hurwitz’s Lectures on the Number Theory of Quaternions
Nicola Oswald
Bergische Universität Wuppertal, GermanyJörn Steuding
Julius-Maximilians Universität Würzburg, Germany

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- Review in EMS Magazine“Adolf Hurwitz 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.” — John Voight (Hanover, NH)
- Review in MathSciNet
- Review in zbMATH“Hurwitz’s lectures on the arithmetic of quaternions can be read with profit by undergraduates familiar with elementary number theory. The editors did a very fine job of making these lectures accessible to today’s readers.” — Franz Lemmermeyer (Jagstzell)