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Classroom notes

The fundamental theorem of calculus within a geometric context based on Barrow's work

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Pages 293-303 | Received 12 Feb 2013, Accepted 19 May 2013, Published online: 01 Aug 2013

References

  • Bressoud DM. Historical reflections on teaching the fundamental theorem of calculus. Am Math Monthly. 2011;118(2):99–115.
  • Kline M. Mathematical thought from ancient to modern times. New York, NY: Oxford University Press; 1972.
  • Grabiner JV. The changing concept of change: the derivative from fermat to weierstrass. Math Mag. 1983;56(4):195–206.
  • Child JM. The geometrical lectures of Isaac Barrow. London: Open Court; 1916.
  • Edwards CH. The historical development of the calculus. New York, NY: Springer-Verlag; 1979.
  • Merzbach UC, Boyer CB. A history of mathematics. 3rd ed. Hoboken, NJ: Wiley; 2011.
  • Barrow I. Lectiones geometricae: in quibus (praesertim) generalia curvarum linearum symptomata declarantur [Geometrical lectures: explaning the generation, nature and properties of curve lines]. Londini: Typis Gulielmi Godbid, & prostant venales apud Johannem Dunmore; 1670.
  • Barrow I. Geometrical lectures. Edmund Stone, translator. London: Cambridge University; 1735.
  • Barrow I. Lectiones geometricae [Internet]. Londini: Typis Gulielmi Godbid, & prostant venales apud Johannem Dunmore; 1670 [cited 2013 Jul 19]. Available from: http://gallica.bnf.fr/ark:/12148/bpt6k1095218.r=lectiones+geometricae.langES
  • Whewell W. The mathematical works of Isaac Barrow. London: Cambridge University Press; 1860. p. 243–244. Available from: http://archive.org/details/mathematicalwor00whewgoog
  • Euclid. The thirteen books of the elements. Sir Thomas L Heath, translator. Vol. 2 (books III-IX); 2nd ed. New York, NY: Dover Publications, Inc.; 1956.
  • GeoGebra [Internet]. Linz: University of Linz; c2001-2013. Drawing a tangent line to a curve; 2013 Ap 17 [cited 2013 Jul 23]; Available from: http://www.geogebratube.org/student/c3824/m35783/ylyy.

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