Bibliography
Bell, Eric Temple. Men of Mathematics. New York: Simon & Schuster, 1937. (Chapters on Pascal, Leibniz, and George Boole.)
Bishop, Morris. Pascal: The Life of Genius. New York: Reynal & Hitchcock, 1936.
Cajori, Florian. A History of Mathematics. New York: Macmillan, 1919.
“Calculating Machine by Wilhelm Schickard: Operating Instructions.” (A twelve-page pamphlet.) Stuttgart: IBM Deutschland GmbH. Undated (1965?).
Delamain, Richard. Translated extract from Grammelogia, 1630. In Smith, A Source Book, pp. 156-159.
Eves, Howard. An Introduction to the History of Mathematics. New York: Holt, Rinehart and Winston, 1964.
Flad, Jean-Paul. Les Trois Premieres Machines a Calculer: Schickard (1623) – Pascal (1642) Leibniz (1673). In La Conference au Palais de la Decouverte, no. 093. Paris: Universite de Paris
1963.
Glaisher, James Whitbread Lee. “Napier, John.” Encyclopaedia Britannica, 11th ed., vol. 19, pp. 171-175.
Heath, F. G. “Origins of the Binary Code.” Scientific American, August 1972, p. 76.
Hofmann, Joseph E. Leibniz in Paris 1672-1676: His Growth to Mathematical Maturity. Cambridge: Cambridge University Press, 1974.
Horsburgh, Ellice Martin, ed. Modern Instruments and Methods of Calculations: A Handbook of the Napier Tercentenary Celebration Exhibition. London: G. Bell and Sons, 1914.
Kline, Morris. Mathematical Thought from Ancient to Modern Times. Oxford: Oxford University Press, 1972.
Kreiling, Frederick C. “Leibniz.” Scientific American, May 1968, p. 95.
Leibniz, Gottfried. Translated extract of Machina arithmetica. In Smith, A Source Book, pp. 173-181.
Locke, Leland L. “The Contributions of Leibniz to the Art of Mechanical Calculation.” Scripta Mathematica 1 (June 1933): 315-321.
Napier, John. Translated extracts from Mirifici logarithmorum canonis constructio, 1619; and from Rabdologiae, 1617. In Smith, A Source Book, pp. 149-155.
Oughtred, William. Translated extracts from Circles of Proportion, 1630. In Smith, A Source Book, pp. 160-164.
“Oughtred, William.” Encyclopaedia Britannica, 11th ed., vol. 20, p. 378.
Pascal, Blaise. Translation of “Advertisement: Necessary to those who have curiosity to see the Arithmetic Machine, and to operate it.” In Smith, A Source Book, pp. 165-172.
Payen, Jacques. “Les Exemplaires Conserves de la Machine de Pascal.” Revue d’Histoire des Sciences et de Leurs Applications 16 (April 1963): 139-160.
Price, Derek de Solla. “An Ancient Greek Computer.” Scientific American, June 1959, p. 60.
—. Gears from the Greeks: The Antikythera Mechanism – A Calendar Computer from ca. 80 B.C. New York: Science History Publications, 1975.
Pullan, J. M. The History of the Abacus. New York: Praeger, 1969.
Seck, Friedrich, ed. Wilhelm Schickard 1592-1635: Astronom – Geograph – Orientalist – Erfinder der Rechenmaschine. Tubingen, West Germany: J. C. B. Mohr (Paul Siebeck), 1978.
Smith, David Eugene. History of Mathematics. 2 vols. New York: Dover Publications, 1958.
—, ed. A Source Book in Mathematics. New York: McGraw-Hill, 1929.
—, and Karpinski, Louis. The Hindu-Arabic Numerals. Boston: Ginn and Company, 1911.
Steinmann, Jean. Pascal. New York: Harcourt, Brace & World, 1962.
Taton, Rene. “Sur l’Invention de la Machine Arithmetique.” Revue d ‘Histoire des Sciences et de Leurs Applications 16 (April 1963): 139-160.
von Freytag Loringhoff, Baron Bruno. “Die Erste Rechenmaschine: Tubingen 1623.” Humanismus und Technik 9 (20 April 1964): 45-55.
—. “Wilhelm Schickard und seine Rechenmaschine von 1623.” In 350 Jahre Rechenmaschinen, edited by Martin Graef, pp. 11-20. Munich: Carl Hanser Verlag, 1973.
Williams, M. R. “From Napier to Lucas: The Use of Napier’s Bones in Calculating Instruments.” Annals 5 (July 1983): 279-296.
Notes
3 “There is no greater mistake”: Knuth, Donald E. The Art of Computer Programming, vol. 2, 2nd ed. (Reading, Mass.: Addison-Wesley, 1981), p. 178.
“I submit to the public”: Smith, A Source Book, p. 166.
8 “hereby the simple of this Iland”: Encyclopaedia Britannica, 11th ed., vol. 19, p. 172.
“When Merchiston first published”: Bell, Men of Mathematics, p. 526.
16 “thin, garrulous, and bad-tempered”: Dictionary of Scientific Biography, vol. 7, p.289.
18 Schickard’s letters translated by Horst Salzwedel, based on extracts in Seck, Wilhelm Schickard, pp. 289-290. The accuracy of the translations was verified by von Freytag
Loringhoff in a 6 April 1984 letter to the author.
24 “The calculating machine was born of filial love”: P. Guth in Le Figaro Litteraire, 12 July 1947, as quoted in Steinmann, Pascal, p.28.
28 Dalibray’s sonnet: Steinmann, Pascal, p. 32.
Pascal’s broadside: Ibid., p. 29.
30 “greatly excited by the division”: Ruth Lydia Saw, Leibniz (New York: Penguin Books, 1954), pp. 9-10.
31 ” When, several years ago”: Smith, A Source Book, p. 173-174.