Euler and the Bernoullis: Learning by Teaching - References and About the Author

References

1. Bernoulli, Daniel. “Lettre I to Euler, 1726,” Letter number 0090, in The Euler Archive: A Digital Library Dedicated to the Work and Life of Leonhard Euler. Mathematical Association of America (MAA), n.d. Web. Accessed 16 Feb. 2015:  http://eulerarchive.maa.org/correspondence/letters/OO0090.pdf  Translated by the author.
2. Child, J.M.  The Early Mathematical Manuscripts of Leibniz.  Chicago: The Open Court Publishing Company, 1920. Print.  Available from the Hathi Trust Digital Library via permanent url:  http://hdl.handle.net/2027/hvd.32044014270755 
3. Descartes, Rene. "Meditations on First Philosophy in which are demonstrated the existence of God and the distinction between the human soul and body," in Some Texts from Early Modern Philosophy. 2015. Web. Accessed 16 Feb. 2015:  http://www.earlymoderntexts.com/authors/descartes
4. Dunham, William. Euler: The Master of Us All.  Washington, D.C.: Mathematical Association of America (MAA), 1999. Print.
5. Euler, Leonhard. “On the Logarithms of Negative and Imaginary Numbers” The Euler Archive, MAA, n.d. Web. Accessed 16 Feb. 2015: http://eulerarchive.maa.org/docs/translations/E807en.pdf  Translation by Todd Doucet (2005) from the French, “Sur les logarithmes des nombres negatifs et imaginaires,” Actor. Acad. Berolinensis tomo V. A. 1749, p. 139. Eneström Number 807
6. Fellmann, Emil A.  Leonhard Euler. New York: Springer Verlag, 2006.  Print.
7. Hoffman, Joseph H., Leibniz in Paris 1672-1676: His Growth to Mathematical Maturity. New York: Cambridge University Press, 1974. Print.
8. Rousseau, Jean-Jacques. Emile. 1762. N.p.: n.p., 2011. Project Gutenberg. Web. Accessed 16 Feb. 2015:  http://www.gutenberg.org/ebooks/5427
9. O’Connor, J.J. and E.F. Robertson. “Jacob (Jacques) Bernoulli,” in MacTutor History of Mathematics Archive, 1998:  http://www-history.mcs.st-andrews.ac.uk/history/Biographies/Bernoulli_Jacob.html
10. O’Connor, J.J. and E.F. Robertson. “Johann van Waveren Hudde,” in MacTutor History of Mathematics Archive, 2008:  http://www-history.mcs.st-and.ac.uk/Biographies/Hudde.html
11. Sylla, Edith Dudley (translator). The Art of Conjecturing, by Jakob Bernoulli. Johns Hopkins University Press, 2006. Print.
12. Tent, M.B.W. Leonhard Euler and the Bernoullis: Mathematicians from Basel. Nattick, MA: A.K. Peters, 2009. Print.
13. Thiele, Rudiger. “The Mathematics and Science Of Leonhard Euler (1707–1783),” in Mathematics and the Historian’s Craft: The Kenneth O. May Lectures (Glen Van Brummelen and Michael Kinyon, eds.). New York: Springer, 2005. Print. 

About the Author

Paul Bedard teaches mathematics at Saint Clair County Community College in Port Huron, Michigan. He received his BS in mathematics from the University of Detroit in 1992 and his MA in Mathematics from Wayne State University in 1995. His article on Leibniz, “Leibniz and the Nature of Innovation,” appeared in the MathAMATYC Educator, volume 5, number 3, May 2014. Fascinated by the many ways that mathematics history and the geniuses who comprised it can be used in the classroom to enrich and add value to any area, Bedard enjoys debating the calculus priority question and, predictably, favors Leibniz.