How to Improve a Math History Assignment - References

References

Andre, Nicole R.; Engdahl, Susannah M.; and Parker, Adam E., "An Analysis of the First Proofs of the Heine-Borel Theorem," Loci: Convergence (August 2013), DOI:10.4169/loci003890 http://www.maa.org/publications/periodicals/convergence/an-analysis-of-the-first-proofs-of-the-heine-borel-theorem

Despeaux, Sloan Evans, "SMURCHOM: Providing Opportunities for Undergraduate Research in the History of Mathematics," Loci: Convergence (January 2011), DOI:10.4169/loci003549 http://www.maa.org/publications/periodicals/convergence/smurchom-providing-opportunities-for-undergraduate-research-in-the-history-of-mathematics

Engdahl, Susannah M. and Parker, Adam E., "Peano on Wronskians: A Translation," Loci: Convergence (April 2011), DOI:10.4169/loci003642 http://www.maa.org/publications/periodicals/convergence/peano-on-wronskians-a-translation

The Euler Archive.  A digital library dedicated to the work and life of Leonhard Euler.  Accessed at http://eulerarchive.maa.org/ on September 26, 2013.

Euler, Leonhard.  "De tribus pluribusve numeris inveniendis, quorum summa sit quadratum, quadratorum vero summa biquadratum."  Memoires de l'academie des sciences de St.-Petersbourg 9, 1824, pp. 3-13.  Eneström index number E763.  Available at the MAA Euler Archive.  Accessed online at http://eulerarchive.maa.org/pages/E763.html on September 26, 2013.  Also available at the Biodiversity Heritage Library, as contributed by the Natural History Museum Library, London.  Accessed online at http://www.biodiversitylibrary.org/item/43682#page/61/mode/1up on June 1, 2014.

"Euler Portraits."  MacTutor History of Mathematics Archive.  Accessed online at http://www-history.mcs.st-andrews.ac.uk/PictDisplay/Euler.html on September 26, 2013.

Hoskin, N. E. and Richards, B.  “A morphogen theory of phyllotaxis.”  Draft. 1954. Archives Centre, King’s College, Cambridge. Turing papers AMT/C/8.  Accessed online at http://www.turingarchive.org/browse.php/C/8 on September 26, 2013.

Jean, Roger V.  “Number-theoretic properties of two-dimensional lattices.”  Journal of Number Theory, vol. 29, no. 2, June 1988, 206-223.

Klyve, Dominic; Stemkoski, Lee; and Tou, Erik, "Teaching and Research with Original Sources from the Euler Archive," Loci: Convergence (August 2013), DOI:10.4169/loci003672 http://www.maa.org/publications/periodicals/convergence/teaching-and-research-with-original-sources-from-the-euler-archive

Robson, Eleanor.  “Words and Pictures: New Light on Plimpton 322.”  The American Mathematical Monthly, Vol. 109, No. 2 (Feb 2002), pp. 105-120.

Sandifer, Ed.  How Euler Did It: “Euler as a Teacher - Part 2.”  February 2010.  MAA Online.  Retrieved online at www.maa.org/sites/default/files/pdf/editorial/euler/Feb2010.pdf on September 26, 2013. Available as of 2014 from MAA Euler Archive at http://eulerarchive.maa.org/hedi/HEDI-2010-02.pdf.

Selevan, Jackie.  “The Moore Method: Its Impact on Four Female PhD Students.”  In Sloan Evans Despeaux, "SMURCHOM: Providing Opportunities for Undergraduate Research in the History of Mathematics," Loci: Convergence (January 2011), DOI:10.4169/loci003549 http://www.maa.org/publications/periodicals/convergence/smurchom-providing-opportunities-for-undergraduate-research-in-the-history-of-mathematics

Shaw, Danny. “Royal pardon for codebreaker Alan Turing.” BBC News (24 December 2013) http://www.bbc.com/news/technology-25495315

Shives, Matthew. “Paradigms and Mathematics: A Creative Perspective”.  In Janet Beery and Kathleen Clark, "HOM SIGMAA 2013 Student Paper Contest Winner," Loci: Convergence (July 2013), DOI:10.4169/loci003988

Swinton, Jonathan.  “Turing, Morphogenesis, and Turing Phyllotaxis: Life in Pictures.”  In Alan Turing: His Work and Impact, eds. S. Barry Cooper and Jan Van Leeuwen.  Elsevier, 2013.

Swinton, Jonathan.  “Watching the Daisies Grow: Turing and Fibonacci Phyllotaxis.”  In Alan Turing: Life and Legacy of a Great Thinker, ed. Christof Teuscher.  Springer, 2004.

Turing, A.M.  “The Chemical Basis of Morphogenesis.”  Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences, Vol. 237, No. 641. (Aug. 14, 1952), pp. 37-72.

Turing, Alan.  “Morphogen.  Theory of Phyllotaxis.”  Turing 2. Archives Centre, King’s College, Cambridge.  Turing papers AMT/C/25. Accessed online at http://www.turingarchive.org/browse.php/C/25 on September 26, 2013.

Turing, Alan.  “Daisy ring diagram.”  Turing 2. Archives Centre, King’s College, Cambridge.  Turing papers AMT/K/3. Accessed online at http://www.turingarchive.org/browse.php/K/3 on June 12, 2014.

The Turing Digital Archive.  Accessed online at http://www.turingarchive.org/ on September 26, 2013.

“Turing Portraits.”  Accessed online at http://www-history.mcs.st-andrews.ac.uk/PictDisplay/Turing.html on September 26, 2013.

About the Author

Christopher Goff is associate professor of mathematics at University of the Pacific in Stockton, California.