## History of Mathematics Group

**Faculty:** David Pengelley

**Current research topics:**
In history of mathematics I am involved in translation, research, and
exposition on both classical Greek and eighteenth to
nineteenth century mathematics, leaning towards number
theory, the bridge between the continuous and the
discrete, and the work of Leonhard Euler. I have
recently coauthored "Did Euclid need the Euclidean
algorithm to prove unique factorization?" in the
American Mathematical Monthly, and published "Dances
between continuous and discrete: Euler's summation
formula". My coauthored paper “'Voici ce que j'ai
trouvé': Sophie Germain's grand plan to prove Fermat's
Last Theorem”, will appear in Historia Mathematica, and
has been featured in Science News Online and Science
Magazine. This research on Sophie Germain's early
nineteenth century handwritten manuscripts of her
research on Fermat's Last Theorem calls for a dramatic
elevation of her stature as a mathematician.
My research in history of mathematics emerged from my work in mathematics
education, where I currently work primarily on the pedagogy of teaching with
primary historical sources at all levels, as described in more detail on the
department's web pages on our mathematics education research.

Both the above areas supplement my longstanding research in algebraic topology, described on the department's topology group web page.

My web pages at https://www.math.nmsu.edu/~davidp lead to all my research papers, and to further information about all these endeavors.

**Points of contact:** David Pengelley