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'He Advanced Him 200 Lambs of Gold': The Pamiers Manuscript - Bibliography

Randy K. Schwartz (Schoolcraft College)

Biggs, Norman, “Mathematics of Currency and Exchange: Arithmetic at the End of the Thirteenth Century,” BSHM Bulletin: Journal of the British Society for the History of Mathematics 24:2 (Jul. 2009), pp. 67-77.

Boag, Elizabeth, “Lattice Multiplication,” BSHM Bulletin: Journal of the British Society for the History of Mathematics 22:3 (Nov. 2007), p. 182.

Davis, Natalie Zemon, “Sixteenth-Century Arithmetics on the Business Life,” Journal of the History of Ideas 21:1 (Jan.-Mar. 1960), pp. 18-48.

Dibner Institute for the History of Science and Technology and WGBH Interactive, “Michael of Rhodes: A Medieval Mariner and His Manuscript” (2005)

Goetzmann, William N., “Fibonacci and the Financial Revolution,” pp. 123-143 in William N. Goetzmann and K. Geert Rouwenhorst, eds., The Origins of Value: The Financial Innovations that Created Modern Capital Markets (New York: Oxford Univ. Press, 2005).

Høyrup, Jens, “Questions to the Historiography of Arabic Mathematics Derived from Abbaco Mathematics,” pp. 217-232 in Actes du Huitième Colloque Maghrébin sur l’Histoire des Mathématiques Arabes, Tunis, les 18-19-20 Décembre 2004 (Tunis, Tunisia: Tunisian Association of Mathematical Sciences, 2006).

Hughes, Barnabas, Fibonacci’s De Practica Geometrie (New York: Springer Verlag, 2008).

Labarthe, Marie-Hélène, “Les Règles de Compagnie, dans les Premières Arithmétiques Imprimées des Espagnes: De la Règle Marchande à l’Outil Mathématique,” Revue d’Histoire des Mathématiques 11 (2005), pp. 257–313.

Math Forum, “Lattice Multiplication,” 1996

Nugent, Patricia M., “Lattice Multiplication in a Preservice Classroom”, Mathematics Teaching in the Middle School 13:2 (Sept. 2007), pp. 110-113.

PedagoNet, “Lattice Multiplication,” uploaded on November 18, 2006

Sanford, Vera, The History and Significance of Certain Standard Problems in Algebra (New York: AMS Press, 1972; originally published 1927).

Schwartz, Randy K., “Combining Strands of Many Colors: Episodes from Medieval Islam for the Mathematics Classroom,” Loci: Convergence, Vol. 7 (August 2010), DOI: 10.4169/loci003546,

Schwartz, Randy K., “Adapting the Medieval ‘Rule of Double False Position’ to the Modern Classroom,” Chapter 5 (pp. 29-38) in Dick Jardine and Amy Shell-Gellasch (eds.), Mathematical Time Capsules: Historical Modules for the Mathematics Classroom (Washington, DC: Mathematical Association of America, 2011).

Sesiano, Jacques, “Une Arithmétique Médiévale en Langue Provençale,” Centaurus 27:1 (1984), pp. 26-75. DOI: 10.1111/j.1600-0498.1984.tb00753.x

Sesiano, Jacques, “The Appearance of Negative Solutions in Mediaeval Mathematics,” Archive for History of Exact Sciences 32:2 (1985), pp. 105-150.

Sigler, Laurence E., Fibonacci’s Liber Abaci: A Translation into Modern English of Leonardo Pisano’s Book of Calculation (New York: Springer Verlag, 2002).

Smith, David Eugene, History of Mathematics, Vol. 2, “Special Topics of Elementary Mathematics” (New York: Dover, 1968).

Spiesser, Maryvonne, “Nombre et Pratiques Calculatoires dans la Tradition Commerciale du XVe Siecle: L’Exemple des ‘Arithmetiques’ du Sud de la France,” in Actes du Colloque “La Pensée Numérique” (Peyrasq, France, 2002). Available from

Spiesser, Maryvonne, “Les Manuels d’Arithmétique pour les Marchands dans la France du XVe Siècle,” Bulletin de l’APMEP [Association des Professeurs de Mathématiques de l' Enseignement Public] 444 (2003), pp. 32-50. Available from

Spiesser, Maryvonne, Une Arithmétique Commerciale du XVe Siècle: Le Compendy de la Praticque des Nombres de Barthélemy de Romans (Turnhout, Belgium: Brepols, 2004).

Swetz, Frank J., Capitalism and Arithmetic: The New Math of the 15th Century, Including the Full Text of the Treviso Arithmetic of 1478, Translated by David Eugene Smith (La Salle, IL: Open Court, 1987)

Verlinden, O., “Markets and Fairs,” Chapter III (pp. 119-153) in Michael Moïssey Postan, Edwin Ernest Rich, and Edward Miller, eds., The Cambridge Economic History of Europe, Second edition (Cambridge, UK: Cambridge Univ. Press, 1963), vol. 3 (Economic Organization and Policies in the Middle Ages).

Weber, Eugen, “Who Sang the Marseillaise?,” pp. 92-102 in My France: Politics, Culture, Myth (Cambridge, MA: Harvard University Press, 1991).

Randy K. Schwartz (Schoolcraft College), "'He Advanced Him 200 Lambs of Gold': The Pamiers Manuscript - Bibliography," Convergence (July 2012), DOI:10.4169/loci003888