A:16 Lengths, Widths, Surfaces: A Portrait of Old Babylonian Algebra and Its Kin. (Studies and Sources in the History of Mathematics and Physical Sciences). New York: Springer, 2002. Table of contents and preface. NB: Presentation appearing on the publisher's website.

 

B:22

“Dýnamis, the Babylonians, and Theaetetus 147c7 – 148d7”. Historia Mathematica 17 (1990), 201–222. The original publication is available at www.springerlink.com. Manuscript.

 

A:12

Mellem gåde og videnskab. Et essay (især) om noget der blev til algebra. Disputats. (Filosofi og Videnskabsteori på Roskilde Universitetscenter. 1. Række: Enkeltpublikationer, 1995 nr. 2). Roskilde: Institut for Sprog og Kultur, Roskilde Universitetscenter, 1995.

 

A:13

Algebra på lertavler. København: Matematiklærerforeningen, 1998. Table of contents and introduction.

B:39

“A New Art in Ancient Clothes. Itineraries Chosen between Scholasticism and Baroque in Order to Make Algebra Appear Legitimate, and Their Impact on the Substance of the Discipline”. Physis, n.s. 35 (1998), 11–50. Preprint.

 

B:43

“On a Collection of Geometrical Riddles and Their Role in the Shaping of Four to Six «Algebras»”. Science in Context 14 (2001), 85–131. Preprint.

 

C:12

«Les quatre côtés et l'aire» – sur une tradition anonyme et oubliée qui a engendré ou influencé trois grandes traditions mathématiques savantes”, pp. 507–531 in Histoire et épistémologie dans l'éducation mathématique. Actes de la première Université d'été européenne, Montpellier 10 au 13 juillet 1993. Montpellier: IREM de Montpellier, 1995. The publisher having omitted proof-reading, the article contains some 270 errors, including wrong formulae and skipped passages. Corrected republication pp. 192224 in E. Gallo, L. Giacardi & C. S. Roero (eds), Associazione Subalpina Mathesis. Seminario di Storia delle Matematiche Tullio Viola. Conferenze e Seminari 19951996. Torino: Associazione Subalpina Mathesis, 1996. Manuscript for the republication.

 

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: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.

 

G:40

 

 

The Fifteenth-Seventeenth Century Transformation of Abbacus Algebra: Perhaps – Though Not Thought of by Edgar Zilsel and Joseph
Needham – the Best Illustration of the ‘Zilsel-Needham thesis’
. Summer School on the History of Algebra, Institute for the History of the Natural Sciences, Chinese Academy of Science, 1–2 September 2011. Preprint, 17 September 2011.

 

C:32 “Pre-modern ‘Algebras’: a Concise Survey of That Which Was Shaped into the Technique and Discipline We Know”, pp. 1–15 in Henning Boje Andersen, Frederik Voetmann Christiansen, Klaus  Frovin Jørgensen & Vincent Hendricks (eds), The Way through Science and  Philosophy: Essays in Honour of Stig Andur Pedersen. London: College Publications, 2006.
 

B:46

“Pedro Nuñez: Innovateur bloqué, et dernier témoin d'une tradition millénaire”. Gazeta de Matemática no 143 (Julho 2002), 5259. Manuscript. 

 B:65

 Embedding: Another Case of Stumbling Progress in the History of Algebra. Physis, nuova series 50 (2015), 1–38.

 

E:10

[Review of Kirsti Andersen (ed.), Kilder og kommentarer til ligningernes historie. Vejle: Forlaget Trip, 1986]. Zentralblatt für Mathematik 0631.01001.

 

Review of Brendan Larvor, Proof in C17 algebra, pp. 119133 in Bart Van Kerkhove et al. (eds), Perspectives on Mathematical Practices.Berlin: Springer, 2007. Zentralblatt für mathematik und ihre Grenzgebiete Zbl 1141.01004

 

 B:66

 

 What Is `Geometric Algebra', and What Has It Been in Historiography?. AIMS Mathematics 2 (2017), 128-160.

 

 

 B:72

 “Reinventing or Borrowing Hot Water: Early Latin and Tuscan Algebraic Operations with Two Unknowns”. Gaṇita 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 Gaṇita Bhāratī 42 (2020, published 2022), 161–192.

 

 

 [Critical abstract of Sabetai Unguru & David Rowe, Does the quadratic equation have Greek roots? A study of `Geometric Algebra´, `Application of Areas´ and related problems. Libertas Mathematica 1 (1981), 149; 2 (1962), 162. Zentralblatt für Mathematik und ihre Grenzgebiete 504.01002