HON 101 History of Mathematics
First Meeting (Jan 29)
Babylonian number recording.
The decoding of Plimpton 322.
document YBC 7289 (Yale Babylonian Collection; Casselman's website at UBC);
document VAT 7858 (Berlin Museum; Christian Siebeneicher's website at Bielefeld)
document NBC 7344 (Yale Babylonian Collection; Duncan Melville's website at St. Lawrence University)
document Plimpton 322 (Columbia Rare Book Collection; David Joyce's website at Clark University, University of Swansea website; Eleanor Robson's transcription)
document YBC 6967 (Yale Babylonian Collection; Eleanor Robson's translation and analysis).
Second Meeting (Feb 12) Euclid and Archimedes
document Euclid's calculation of the volume of a cone. (Euclid's Elements website, XII, 10; see diagram of proof.) See also Euclid XII Prop 7 (volume of pyramid)
document Archimedes "On moments" palimpsest.
Third Meeting (Feb 26) Arab, Indian and Chinese mathematics
during the "dark ages."
document Table of sines from the Aryabhatiya (Narasimha in Nature Dec 20/27 2001)
document Al-Khwarizmi on quadratic equations (S)
Fourth Meeting (Mar 11) Fibonacci; Cardano and Tartaglia.
document Word problems from the 1478 "Treviso Arithmetic"
document Cardano's solution of the cubic
Fifth Meeting (Apr 1) Galileo, Descartes; Newton Leibnitz.
document Descartes on the theory of equations (S)
document Galileo on uniformly accelerated motion (S)
document Leibnitz on the Fundamental Theorem of Calculus (S)
Sixth Meeting (Apr 15) Number theory from Fermat to
Euler and Gauss.
document Euler's calculation of the sum of the 1/n2 series (D)
document Gauss' proof of the Fundamental Theorem of Algebra (S)
Seventh Meeting (Apr 29) Nineteenth-Century
Analysis: Cauchy, Fourier, Cantor.
document (see Notes on spherical trigonometry and navigation).
document Cantor: "On an elementary question in set theory" (1890-91)
See also: Cantor on the cardinality of a power set: |P(S)|>|S| (D)