Cf. also Materials for the study of Fibonacci

(inter alia, the complete Boncompagni edition of his writings)

 

 

G:17

 “VAT. LAT. 4826: Jacopo da Firenze, Tractatus algorismi”. Preliminary transcription of the manuscript, with occasional commentaries". Filosofi og Videnskabsteori på Roskilde Universitetscenter. 3. Række: Preprints og Reprints 1999 Nr. 3.
 

C:22

“The Founding of Italian Vernacular Algebra”, pp. 129–156 in Commerce et mathématiques du moyen âge à la renaissance, autour de la Méditerranée. Actes du Colloque International du Centre International d'Histoire des Sciences Occitanes (Beaumont de Lomagne, 13–16 mai 1999). Toulouse: Éditions du C.I.H.S.O., 2001.

B:43

  

“Lasciti sotto-scientifici alla matematica d'abbaco: quasi algebra ed altre strane specie / The Sub-Scientific Heritage in `abbaco´-Mathematics: Quasi-Algebra and Other Queer Species”. L'educazione matematica 22 (2001), 23-39, 94-103, 149-158.

  

B:53

“Leonardo Fibonacci and Abbaco Culture: a Proposal to Invert the Roles”. Revue d'Histoire des Mathématiques 11 (2005), 23-56. Preprint.

C:43

 

 

 

  

“L'algèbre de Jacopo de Florence : un défi à l'historiographie de l'algèbre presque-moderne”, pp. 257–272 in Frank Daelemans et al (eds), Mélanges offerts à Hossam Elkhadem par ses amis et ses élèves. Bruxelles: Archives et Bibliothèques de Belgique/Archief- en Bibliotheekwezen in Belgie, 2007 (written 2002). Manuscript.

  

B:54

“Jacopo da Firenze and the Beginning of Italian Vernacular Algebra”. Historia Mathematica 33 (2006), 4-42, doi: 10.1016/j.hm.2005.03.001. Preprint. The original publication is available at http://www.sciencedirect.com/science/journal/03150860.

 

 B:56

 

 “The 'Unknown Heritage': trace of a forgotten locus of mathematical sophistication”. Archive for history of Exact Sciences 62 (2008), 613-654. DOI 10.1007/s00407-008-0025-y. Preprint.

 

G:26

“Jacopo da Firenze, Tractatus algorismi: An edition of the manuscript Milan, Trivulziana MS 90,
collated with Florence, Riccardiana MS 2236”. Filosofi og Videnskabsteori på Roskilde Universitetscenter. 3. Række: Preprints og Reprints 2007 Nr. 2.
 

G:29

 

 

 

 “Über den italienischen Hintergrund der Rechenmeister-Mathematik”. Beitrag zur Tagung “Die Rechenmeister in der Renaissance und der frühen Neuzeit. Stand der Forschung und Perspektiven”, München, Deutsches Museum, 29. Februar 2008. Max-Planck-Institut für Wissenschaftsgeschichte, Preprint 349.  http://www.mpiwg-berlin.mpg.de/Preprints/P349.PDF

C:39

 

 

 

“The Tortuous Ways toward a New Understanding of Algebra in the Italian Abbacus School (14th–16th Centuries)”, pp. 1–15 in O. Figueras, J. L. Corina, S. Alatorre, T.Rojano, A. Sepúlveda (eds), Proceedings of the Joint Meeting of PME 32 and PME-NA XXX. Morelia, Mexico, July 17–21, 2008, vol. I. México: Cinvestav–UMSNH, 2008.

B:70

 

 “Explicit and Less Explicit Algorithmic Thinking, 1200-1500. Jordanus de Nemore, and the Contrast between Barthelemy de Romans et

  Chuquet”. Bollettino di Storia delle Scienze Matematiche 28 (2018), 9–30

 

E:74

[Review of Maryvonne Spiesser (ed.), Une arithmétique commerciale du XVe siècle. Le Compendy de la praticque des nombres de Barthélemy de Romans. (De Diversis artibus, 70) Turnhout: Brepols, 2004]. Nuncius 20 (2005), 481–482. Manuscript.

 

Review of Maria do Céu Silva, “The Algebraic Content of Bento Fernandes’s Tratado da arte de arismetica (1555)”. Historia Mathematica 35 (2008), 190–219. Written for Zentralblatt für Mathematik und ihre Grenzgebiete.

  

 

C:44

“How to transfer the conceptual structure of Old Babylonian Mathematics: solutions and inherent problems. With an Italian Parallel”, pp. 385–117 in Annette Imhausen & Tanja Pommerening (eds), Writings of Erly Scholars in the Ancient Near East, Egypt, Rome and Greece: Translating Ancient Scientific Texts. (Beiträge zur Altertumskunde, 296). Berlin & New York: De Gruyter, 2010. Preprint.
 

G:35

 

 

 

 “Hesitating progress – the slow development toward algebraic symbolization in abbacus and related manuscripts, c. 1300 to c. 1550”. Contribution to the conference  “Philosophical Aspects of Symbolic Reasoning in Early Modern Science and Mathematics”, Ghent, 27–29 August 2009. Max-Planck-Institut für Wissenschaftsgeschichte, Preprint 390

C:45

 

 

“A Diluted al-Karaji in Abbacus Mathematics”, pp. 187–197 in Actes du 10ième Colloque Maghrébin sur l'Histoire des mathématiques Arabes, Tunis, 29–30–31 mai, 2010. Tunis: Publications de l'Association Tunisiennes des Sciences mathématiques, 2011. Preprint.

G:39

 

 

“Fibonacci – Protagonist or Witness? Who Taught Catholic Christian Europe about Mediterranean Commercial Arithmetic?”. Paper presented at the workshop “Borders and Gates or Open Spaces? Knowledge Cultures in the Mediterranean During the 14th and 15th Centuries”, . Preprint, 26 December 2010 ”.

 

 B:63

 

 “Sanskrit-Prakrit Interaction in Elementary Mathematics as Reflected in Arabic and Italian Formulations of the Rule of Three – and Something more on the Rule Elsewhere”. Ganita BhāratÌ 34 (2012; actually 2014), 144–172.

 

G:48

“Embedding: Another Case of Stumbling Progress”. Contribution to the workshop “Mathematics in the Renaissance: Language, Methods, and Practices”, ETSEIB, Barcelona, 23 January 2015. Roskilde University, 27.1.2015.

 

 B:64

 “Fibonacci – Protagonist or Witness? Who Taught Catholic Christian Europe about Mediterranean Commercial Arithmetic?”. Journal of Transcultural Medieval Studies 1 (2014), 219–247
 

C:61

 

 “From the Practice of Explanation to the Ideology of Demonstration: An Informal Essay”, pp. 27–46 in G. Schubring (ed.), Interfaces between Mathematical Practices and Mathematical Education. Cham: Springer, 2018.
 
D:17 “Abbacus School”, in Marco Sgarbi (ed.), Encyclopedia of Renaissance Philosophy. Cham: Springer, 2018. https://doi.org/10.1007/978-3-319-02848-4_1135-1

 

 B:72

 “Reinventing or Borrowing Hot Water: Early Latin and Tuscan Algebraic Operations with Two Unknowns”. Ganita Bhāratī 41 (2019; published 2021), 115–159.

 

 B74

 “Fifteenth-Century Italian Symbolic Algebraic Calculation with Four or Five Unknowns”.2020{c}_Fifteenth-century Italian symbolic algebraic calculation with four or five unknowns_S.pdf Ganita Bhāratī 42 (2020, published 2022), 161–192.
 

E:99

 Review of Stephan Deschauer, Die große Arithmetik aus dem Codex Vind. phil. gr. 65. Eine anonyme Algorismusschrift aus der Endzeit des byzantinischen Reiches.Denkschriften Österreichische Akademie der Wissenschaften, Philosophisch-Historische Klasse, 461. Verlag der Österreichischen Akademie der Wissenschaften, Vienna, 2014. Mathematical Reviews MR3308969.

A:25

The World of the Abbaco: Abbacus Mathematics Analyzed and Situated Historically between Fibonacci and Stifel. Cham: Springer, 2024.
A:27

Explorations and False Trails: The Innovative Techniques That Eventually Brought About Modern Algebra. Cham etc.: Springer, 2024.

 

C:68

 

“The Tangled Roots of the New Mathematics of the 17th Century Scientific Revolution”, pp. 11–25 in Rivka Feldhay (ed.), “The Evolution of Knowledge: A Scientific Meeting in Honor of Jürgen Renn”. Max-Planck-Institut für Wissenschaftsgeschichte. Preprint 515 (2023).
 

C:70

 

 

 “Which Groups, Which Forces Transformed Abbacus Algebra, Thus Creating Intellectual Infrastructure for the Scientific Revolution? Reflections on the Possibility to Transfer the Zilsel Thesis”, pp. 123–151 in Toke Knudsen and Jessica Carter (eds), Mastering the History of Pure and Applied Mathematics. Essays in Honor of Jesper Lützen. Berlin & Boston: de Gruyter, 2024.

 

 

 

 

 

 

 

 

 

 

free hit counter javascript