Stony Brook University
Resources for a source-based
History of Mathematics
- The Ishango Bone.
- Old Babylonian multiplication and reciprocal tables TP.
- YBC 7289 from Bill Casselman's website.
- YBC 7289 digitized in 3D.
- Eleanor Robson on Plimpton 322
- YBC 6967 Jöran Friberg, Eleanor Robson.
- David Mumford on MS 3049.
- Rhind papyrus translation by A. B. Chase. Translation proper starts on p. 49.
- Moscow papyrus: volume of truncated pyramid, from Wayne Aitkin's page at Cal State, San Marcos.
- Euclid's Elements David Joyce, Clark University. Notes on XII, 10.
- The Archimedes Palimpsest, high-tech scan of original.
- Archimedes' The Method after Heiberg, edited by Sir Thomas Heath, FRS, 1912.
- (The Method of Archimedes: volume of the sphere. TP)
- (Re Al-Battáni: The true history of the law of cosines, after Braumühl. TP)
- Aryabhata table of sines Roddam Narasimha, FRS via TP.
- Muhammad ibn Musa al-Khwarizmi: Algebra translated by Frederic Rosen, 1831.
- (The knots in the quipu, and in the Friar's belt. TP)
- (Nicholas of Cusa and squaring the circle. TP)
- Word problems from the Treviso Arithmetic - 1478 TP.
- Simon Stevin complete works, in French. Geometry on pp. 341-432.
- Simon Stevin l'Arithmétique.
- Galileo's Arithmetic TP.
- (Descartes's lost theorem (1621) TP.)
- Descartes hyperbola mechanism, from
La Géometrie, 1637. Translation by D. E. Smith and M. L. Latham.
- Descartes La
Géometrie, 1637 Leyden edition (in French).
- Descartes La Géometrie 1886 edition (PDF, in modern French).
- Newton's Papers Cambridge Digital Library
- A page from Newton's Papers;
translation.
- Newton and the binomial power series (in Quanta magazine)
- Leibniz on refraction, 1684; translation.
- One item from the Newton-Leibniz controversy.
- (A note on the history of
trigonometric functions and substitutions Jean-Pierre Merlet, INRIA).
- Agnesi: Instituzioni analitiche ad uso della gioventù italiana, 1748.
- Agnesi, Volume II
- Euler: Bridges of Königsberg (1736). Latin original.
- Euler, Elements of Algebra 1770-1772; translated by John Hewlett, 1840
- Fourier: The Analytical Theory of Heat -1878 translation by Alexander Freeman. Excerpt: Heat in a ring.
- Galois: Mémoire sur les conditions de resolubilité des équations par radicaux; translation (starts p. 107).
- Cauchy on the "Cauchy-Riemann equations". Original
text: page 1; page 2; page 3.
- Gauss on quadratic reciprocity, from Disquisitiones Arithmeticae, 1798; translated by A. C. Clarke, 1964.
- Cayley on Group Theory, 1854
- (Eric Schechter (Vanderbilt) - a modern presentation of the Real Numbers.)
- Cantor on transfinite numbers (1915 translation by Philip Jourdain).
- Cantor: On an elementary question in set theory (on cardinality of power set).
Anthony Phillips
tony AT math.stonybrook.edu
September, 2021