Books, Articles, etc.
I have moved my list of publications to Zotero.
Translations
- “Solution of a geometric problem about lunes formed from circles,” 2013 translation, with Chris Francese and Travis Ramsey (Dickinson ‘13), of Leonhard Euler’s paper “Solutio Problematis geometrici circa lunulas a circulis formatas,” Commentarii academiae scientiarum Petropolitanae 9 (1744) 207–221 (available online at the Euler Archive)
- “On n-gons, n-sided figures, and polyhedra,” 2006 translation, with Anne Maiale (Dickinson ‘08), of pages 20–22 of Karl Georg Christian von Staudt’s book Geometrie der Lage, Nürnberg, 1847
- “Addition to Euler’s Polyhedral Theorem,” 2006 translation, with Anne Maiale (Dickinson ‘08), of J. F. Hessel’s paper “Nachtrag zu dem Euler’schen Lehrsatz von Polyedern,” Journal für die Reine und Angewandte mathematik8 (1832), 13–20
- “Easier proof of a stereometric theorem of Euler,” 2006 translation, with Anne Maiale (Dickinson ‘08), of Jacob Steiner’s paper, “Leichter Beweis eines stereometrischen Satzes von Euler,” Journal für die reine und angewandte Mathematik 1 (1826), 364–367
- “Proof of some notable properties with which solids enclosed by plane faces are endowed,” 2004 translation, with Chris Francese, of Leonhard Euler’s paper “Demonstratio nonnullarum insignium proprietatum quibus solida hedris planis inclusa sunt praedita,” Novi Commentarii Academiae Scientiarum Petropolitanae, 4 (1752), 94–108 (available online at the Euler Archive)
Videos
I have a YouTube channel where I have posted some instructional videos for students (not connected to any class), videos connected to some of my publications, and videos of general mathematical interest. Here’s a selection.
- “Proving that functions are injective and surjective (one-to-one and onto),” December 23, 2020
- “A quick introduction to LaTeX,” July 8, 2020
- “The magnificent Möbius band,” March 25, 2020
- “Three takes on the circle square illusion,” July 29, 2019
- “Make your own Pythagorean cup: A practical joke drinking vessel,” December 28, 2018
- “Make your own impossible cylinder,” August 29, 2016
- “Through one hole or two: A topological magic trick,” February 1, 2008