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Mach, Ernst (1838-1916)

The mathematician who pursues his studies without clear views of this matter, must often have the uncomfortable feeling that his paper and pencil surpass him in intelligence.

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Loci: Convergence

The Enigmatic Number e: A History in Verse and Its Uses in the Mathematics Classroom

by Sarah Glaz (University of Connecticut)

References

  1. A. Audsley, The Old Computer Hut, History: More about Napier's original logarithm, http://www.oldcomputers.arcula.co.uk/bhist1.htm
  2. Patrick Bahls, Math and metaphor: Using poetry to teach college mathematics, The Writing Across the Curriculum Journal 20, 75-90, 2009
  3. Petr Beckmann, A History of π, St. Martin Press, New York, 1971
  4. E.T. Bell, Men of Mathematics, Simon & Schuster, New York, 1937
  5. William P. Berlinghoff, and Fernando Q. Gouvea, Math Through the Ages, a Gentle History for Teachers and Others, Oxton House Publishers, Farmington, ME, and MAA, Washington DC, 2004
  6. Marcia Birken, and Anne C. Coon, Discovering Patterns in Mathematics and Poetry, Editions Rodopi, B.V. Amsterdam-New York, 2008
  7. Michael J. Caulfield, John Napier: his life, his logs, and his bones, MAA Loci: Convergence, http://mathdl.maa.org/mathDL/46/?pa=content&sa=viewDocument&nodeId=2331
  8. Marion Deutsche Cohen, Downloads: Permission to Add (the Math Limericks) http://marioncohen.com/
  9. Marion Deutsche Cohen, Truth and Beauty: A Course in Mathematics and Literature, preprint
  10. Henry Thomas Colebrooke, A Translation of Lilavati with Notes by Haran Chandra Banerji, Asian Educational Services, New Delhi, India, 1993
  11. Julian Lowell Coolidge, The Mathematics of Great Amateurs, Dover Publications, New York, 1963
  12. William Dunham, Euler: The Master of US All, MAA, Washington DC, 1999
  13. Euler's correspondence with Goldbach, http://math.dartmouth.edu/~euler/correspondence/correspondents/Goldbach.html
  14. Howard Whitley Eves, An Introduction to the History of Mathematics, Holt, Rinehart & Winston, 1969
  15. Exploratorium, Annual Pi Day Celebration Page, http://www.exploratorium.edu/pi/index.html
  16. Sarah Glaz, Calculus, Humanistic Mathematics Network Journal 26, 30, 2002. Poem: http://www.math.uconn.edu/~glaz/Calculus_by_Sarah_Glaz.html
  17. Sarah Glaz, and JoAnne Growney, Strange Attractors, Poems of Love and Mathematics, AK Peters, Wellesley, MA, 2008
  18. Sarah Glaz and Su Liang, Modeling with poetry in an introductory college algebra course and beyond, Journal of Mathematics and the Arts 3, 123-133, 2009. Link to preprint: http://www.math.uconn.edu/~glaz/My_Articles/ModelingWithPoetryinanIntroAlgebraCourse.JMA09.pdf
  19. Jacqueline Jensen, Math 142 Poems Presented, http://www.shsu.edu/~mth_jaj/math142/poems.s05.html
  20. Barbara A. Jur, The Poetry of Mathematics, PRIMUS 1, 75-80, 1991
  21. Victor Katz (editor), Using History to Teach Mathematics, an International Perspective, MAA Notes 51, Washington DC, 2000
  22. Arthur Knoebel, Reinhard Laubenbacher, Jerry M. Lodder, and David Pengelley, Mathematical Masterpieces: Further Chronicles by the Explorers, Springer, New York, 2007.
  23. Reinhard Laubenbacher, and David Pengelley, Mathematical Expeditions: Chronicles by the Explorers, Springer-Verlag, Berlin, 1998
  24. H.W. Lenstra, Jr., Solving the Pell Equation, Notices of the American Mathematical Society 49, 182-192, 2002  http://www.ams.org/notices/200202/fea-lenstra.pdf
  25. Lawrence Mark Lesser, Sum of songs: Making mathematics less monotone, The Mathematics Teacher 93, 372-377, 2000
  26. Eli Maor, e: The Story of a Number, Princeton University Press, Princeton, NJ, 1994
  27. William Mueller: The Number e, http://www.wmueller.com/precalculus/e/e0.html
  28. J.J. O'Connor, and E.F. Robertson, The MacTutor History of Mathematics Archive, University of St Andrews, Scotland: The Number e, http://www-history.mcs.st-andrews.ac.uk/HistTopics/e.html
  29. Cheryl C. Patterson, and J. Wayne Patterson, Poetry Writing in Quantitative Courses, Decision Sciences Journal of Innovative Education 7, 233-238, 2009
  30. Amy Shell-Gellasch, Napier's e, MAA Loci: Convergence, http://mathdl.maa.org/mathDL/46/?pa=content&sa=viewDocument&nodeId=3209
  31. Amy Shell-Gellasch (editor), Hands on History, a Resource for Teaching Mathematics, MAA Notes 72, Washington, DC, 2007
  32. Michael Stueben, with Diane Sandford, Twenty Years Before the Blackboard, MAA, Washington DC, 1998
  33. Eric Weisstein, Wolfram MathWorld: e, http://mathworld.wolfram.com/e.html
  34. Wikipedia: e (mathematical constant), http://en.wikipedia.org/wiki/E_(mathematical_constant)

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Glaz, Sarah, "The Enigmatic Number e: A History in Verse and Its Uses in the Mathematics Classroom," Loci (April 2010), DOI: 10.4169/loci003482


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