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We come now to the question: what is a priori certain or necessary, respectively in geometry (doctrine of space) or its foundations? Formerly we thought everything; nowadays we think nothing. Already the distance-concept is logically arbitrary; there need be no things that correspond to it, even approximately.

"Space-Time." Encyclopaedia Britannica, 14th ed.

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# Teaching and Research with Original Sources from the Euler Archive

## Bibliography

[1] Barnett, Janet. "Euler Circuits and the Königsberg Bridge Problem." Available online at http://www.math.nmsu.edu/hist_projects/

[2] Blecksmith, Richard, John Brillhart, and Michael Decaro. “The Completion of Euler’s Factoring Formula.” To appear in the Rocky Mountain Journal of Mathematics.

[3] Brillhart, John. “A Note on Euler's Factoring Problem.” American Mathematical Monthly 116:10 (2009), pp. 928-931.

[4] Caparrini, Sandro. “Euler’s Influence on the Birth of Vector Mechanics.” In Leonhard Euler: Life, Work and Legacy. Robert E. Bradley and Ed Sandifer (eds.), Elsevier, 2007, pp. 459-477.

[5] Hopkins, Brian. Resources for Teaching Discrete Mathematics. Mathematical Association of America, 2008.

[6] Klyve, Dominic and Lee Stemkoski. "The Euler Archive: Giving Euler to the World." In Euler at 300: An Appreciation. Robert Bradley, Lawrence D’Antonio, and Edward Sandifer (eds.), Mathematical Association of America, 2007, pp. 33-41.

[7] Knoebel, Art, Reinhard Laubenbacher, Jerry Lodder, and David Pengelley. Mathematical Masterpieces: Further Chronicles by the Explorers. Springer, 2007.

[8] Laubenbacher, Reinhard and David Pengelley. Mathematical Expeditions: Chronicles by the Explorers. Springer, 1998.

[9] Osler, Thomas. “Another look at Euler’s parallel oblique angled diameters.” To appear in The Mathematical Gazette.

[10] Osler, Thomas. “Euler and the functional equation for the zeta function.” The Mathematical Scientist, 34 (2009), pp. 62-73.

[11] Osler, Thomas. “Euler's little summation formula and special values of the zeta function.” The Mathematical Gazette, 92 (2008), pp. 295-299.

[12] Osler, Thomas and Steve Donahue. “Euler’s method of integration by parts.” To appear in The Mathematical Gazette.

[13] Osler, Thomas and Andrew Robertson. “Euler's little summation formula and sums of powers,” Mathematical Spectrum, 40 (2006/2007), pp. 73-76.

[14] Petrie, Bruce J. "Euler, Lambert, and the Irrationality of e and π." Proceedings of the Canadian Society for History and Philosophy of Mathematics, 22 (2009), pp. 104-19.

[15] Pivkina, Inna. "Original historical sources in data structures and algorithms courses." Journal of Computing Sciences in Colleges, 26:4, April 2011.

[16] Sandifer, C. Edward. How Euler Did It (online column). Mathematical Association of America, 2007. Past columns also available online at: http://maa.org/news/howeulerdidit.html

[17] Stemkoski, Lee. "Investigating Euler's Polyhedral Formula Using Original Sources." Loci: Convergence, 6 (April 2009). DOI: 10.4169/loci003297. Available online at:
http://mathdl.maa.org/mathDL/46/?pa=content&sa=viewDocument&nodeId=3297

[18] Walter, Jacob and Thomas Osler. "A modern look at a neglected summation formula by Euler." The Mathematical Gazette, 93 (2009), pp. 237-243.

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Klyve, Dominic, Lee Stemkoski and Erik Tou, "Teaching and Research with Original Sources from the Euler Archive," Loci (April 2011), DOI: 10.4169/loci003672