B. Articles in periodicals
A |
C |
Articles in Festschriften, proceedings-volumes and other anthologies. |
D |
E |
F |
G |
Preprints etc. which have not or not yet given rise to a proper publication |
NB: Links, when present, are mostly to preprint or manuscript versions, which may differ more or less
radically from the published version, and whose paginations are in any case quite different.
B:1 |
“Double Regge Analysis and the Extended Dolen-Horn-Schmid Duality Applied to the Processes pp‑>Δ++π‑p and pp‑>ppω”. Nuclear Physics B 11 (1969), 428–438. |
B:2 |
with Else Høyrup. “Matematikundervisning – hvorfor?” Matematik 1:3 (1973), 19–24; 1:4 (1973), 20–26. |
B:3 |
“Matematikundervisning: Reformer, formål og bivirkninger”. Dansk Pædagogisk Tidsskrift 22 (1974), 345–363. |
B:5 |
with Bernhelm Booß. “From Kepler's Planetary Motion to the ‘Quark Confinement’ in Elementary Particle Physics. Empirical Investigations in the Problem of Model Transfer and Analogy. Fable with a Moral” presented to the meeting on “Mathematical Economics”, Oberwolfach, January 1979. Materialien des Universitätsschwerpunkt Mathematisierung der Einzelwissenschaften, Universität Bielefeld 14 (1979), 211–242. |
B:6 |
“Influences of Institutionalized Mathematics Teaching on the Development and Organization of Mathematical Thought in the Pre-Modern Period. Investigations into an Aspect of the Anthropology of Mathematics”. Materialien und Studien. Institut für Didaktik der Mathematik der Universität Bielefeld 20 (1980), 7–137. |
B:7 |
“Om teoretisk og praktisk videnskab; om grundforskning og målforskning; om tværfaglighed, videnskabelige discipliner og problemorientering”. Filosofi og videnskabsteori på Roskilde Universitetscenter 2 (1981), 31–55. |
B:8 |
“Investigations of an Early Sumerian Division Problem, c. 2500 B.C.”. Historia Mathematica 9 (1982), 19–36. The original publication is available at http://www.sciencedirect.com/science/journal/03150860. |
B:9 |
“Sixth-Century Intuitive Probability: The Statistical Significance of a Miracle”. Historia Mathematica 10 (1983), 80–84. The original publication is available at http://www.sciencedirect.com/science/journal/03150860. |
B:10 |
“Erkendelsesteoretiske, historiske og andre bemærkninger til offentlighedsegrebet”. Filosofi og Videnskabsteori på Roskilde Universitetscenter 4 (1984), 136–168. |
B:11 |
“Varieties
of Mathematical Discourse in Pre-Modern Socio-Cultural Contexts: |
B:12 |
“Al-Khwârizmî,
Ibn Turk, and the Liber Mensurationum: on the Origins of Islamic Algebra”. Erdem
2 ( |
B:13 |
“Hârezmî, Ibn Türk, ve Liber Mensurationum: Islâm Cebirinin Kökenleri Üzerine”. Erdem 2 (1986), 485–526. Turkish translation of B:12. |
B:14 |
“The Formation of «Islamic Mathematics». Sources and Conditions”. Science in Context 1 (1987), 281–329. Included in A:10. Manuscript of preprint. In A:12 vol. II. |
B:15 |
“Filozofija:
slučaj,
epifenomen ili sinergijski uzrok promjene trendova u matematici. Obriz
razvitka od dvanaestoga do šesnaestoga stoljeća”. Godišnjam za povijest filozofije 5
( |
B:16 |
“Naturvidenskaben anno 1988. Overvejelser i anledning af en ny populærvidenskabelig serie”. Tiden 49:5 (1988), 4–13. |
B:17 |
“Jordanus de Nemore, 13th Century Mathematical Innovator: an Essay on Intellectual Context, Achievement, and Failure”. Archive for History of Exact Sciences 38 (1988), 307–363. |
B:18 |
“Jordanus
de Nemore: A Case Study on 13th Century Mathematical Innovation and Failure
in Cultural Context”. Philosophica 42 ( |
B:19 |
“Zur Frühgeschichte algebraischer Denkweisen”. Mathematische Semesterberichte 36 (1989), 1–46. In A:12 vol. II. |
B:20 |
“Algebra and Naive Geometry. An Investigation of Some Basic Aspects of Old Babylonian Mathematical Thought”. Altorientalische Forschungen 17 (1990), 27–69, 262–354. In A:12 vol. II. |
B:21 |
“Sub-Scientific Mathematics. Observations on a Pre-Modern Phenomenon”. History of Science 28 (1990), 63–86. Included in A:10. In A:12 vol. II. |
B:22 |
“Dýnamis, the Babylonians, and Theaetetus 147c7 – 148d7”. Historia Mathematica 17 (1990), 201–222. The original publication is available at http://www.sciencedirect.com/science/journal/03150860. Manuscript. I A:12 vol. II. |
B:23 |
“Θεσμoπoιησεις
τες διδασκαλιασ
τωv μαθηματικωv
και o
χαρακτηρας τoυ
μαθηματικoυ
΄logou΄”. Ομιλoς για
τηv Iστoρια τωv
Μαθηματικωv No 41 (May 1990). Greek translation of B:11. |
B:24 |
“On Parts of Parts and Ascending Continued Fractions”. Centaurus 33 (1990), 293–324. In A:12 vol. II. Manuscript of preprint. |
B:25 |
“Matematika kao socijalni fenomen” (ed. Rajka Rusan). Treći Program Hrvatskog Radija 29 (Zagreb 1990; printed 1991), 5–32. |
B:26 |
[Croatian translation of “Platonism or Archimedism: On the Ideology and Self-Imposed Model of Renaissance Mathematicians (1400 to 1600)”]. Godišnjak za povijest filozofije 8 (1990), 114–149. English text included in A:10. |
B:27 |
“Anfänge von Wissenschaft im Kontext der frühmesopotamischen «städtischen Revolution»”. Berichte zur Wissenschaftsgeschichte 15 (1992), 75–97. |
B:28 |
“Sumerian: The Descendant of a Proto-Historical Creole? An Alternative Approach to the «Sumerian Problem»”. AIΩN. Annali del Dipartimento di Studi del Mondo Classico e del Mediterraneo Antico. Sezione linguistica. Istituto Universitario Orientale, Napoli 14 (1992; publ. 1994), 21–72, Figs. 1–3. Also, possibly easier to get hold of, as ROLIG-Papir No 51 (Roskilde University, 1993). |
B:29 |
“Mathematical
|
B:30 |
“«Remarkable Numbers» in Old Babylonian Mathematical Texts: A Note on the Psychology of Numbers”. Journal of Near Eastern Studies 52 (1993), 281–286. I A:12 vol. II. |
B:31 |
“Algebra in the Scribal School – Schools in Babylonian Algebra?” NTM. Schriftenreihe für Geschichte der Naturwissenschaften, Technik und Medizin, N. S. 4 (1993), 201–218. |
B:32 |
“On Subtractive Operations, Subtractive Numbers, and Purportedly Negative Numbers in Old Babylonian Mathematics”. Zeitschrift für Assyrio–logie und Vorderasiatische Archäologie 83 (1993), 42–60. |
B:33 |
“A
Note on an Anomalous Area Measurement from |
B:34 |
“Linee larghe. Un'ambiguità geometrica dimenticata”. Bollettino di Storia delle Scienze Matematiche 15 (1995), 3–14. |
B:35 |
“Changing Trends in the Historiography of Mesopotamian Mathematics: An Insider's View”. History of Science 34 (1996), 1–32. Preprint. |
B:36 |
“Sulla posizione della «formula di Erone» nei Metrica (con una nota platonica)”. Bollettino di Storia delle Scienze Matematiche 17 (1997), 3–11. Text with English translation (6 October 2011). |
B:37 |
“Barocco e scienza secentesca: un legame inesistente?” Analecta Romana Instituti Danici 25 (1997), 141–172. Preprint. Republished with minor corrections in B:60.
|
B:38 |
“A Note on Water-Clocks and on the Authority of Texts”. Archiv für Orientforschung 44–45 (1997–98), 192–194. |
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“Textos de procedimientos matemáticos de la antigua Babilonia. Una selección de problemas ‘algebraicos’ y relacionados con un analisi conciso / Old Babylonian Mathematical Procedure Texts. A Selection of ‘Algebraic’ and Related Problems with Concise Analysis”. Mathesis 13:3 (Mexico, 1997), 224–253.Preprint (only English, not the Castilian translation). |
B:40 |
“Om matematikkens historiografi: et summarisk essay”. Slagmark nr. 28–29 (1999), 105–122. Manuscript. |
B:41 |
ed., trans., “Jacobus de Florentia, Tractatus algorismi (1307), the Chapter on Algebra (Vat. Lat. 4826, fols 36v–45v)”. Centaurus 42 (2000), 21–69. Slightly revised preprint. |
B:42 |
“Geometrical Patterns in the Pre-classical Greek Area. Prospecting the Borderland Between Decoration, Art, and Structural Inquiry”. Revue d'Histoire des Mathématiques 6 (2000), 5–58. |
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. |
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:44 |
“A Note on Old Babylonian Computational Techniques”. Historia Mathematica 29 (2002), 193–198. The original publication is available at http://www.sciencedirect.com/science/journal/03150860. Preprint. |
B:45 |
“Existence, Substantiality, and Counterfactuality. Observations on the Status of Mathematics According to Aristotle, Euclid, and Others”. Centaurus 44 (2002), 1–31. Preprint. |
B:46 |
“Pedro Nuñez: Innovateur bloqué, et dernier témoin d'une tradition millénaire”. Gazeta de Matemática no 143 (Julho 2002), 52–59. Manuscript. |
B:47 |
with Bernhelm–Booß-Bavnbek. “Mathematics and War”. European Mathematical Society. Newsletter, Issue 46 (December 2002), 20–22. |
B:48 |
“A
Note to Kazuo Muroi, ‘Inheritance Problems in the |
B:49 |
“Matematica e guerra”. Quaderni di ricerca in didattica N. 13 (Palermo, G.R.I.M., 2003), 152–162 (Web-journal, http://math.unipa.it/~grim/menuquad_mat.htm). |
B:50 |
“Mathematics and War: An Invitation to Revisit”. The Mathematical Intelligencer 25:3 (Summer 2003), 12–25. |
B:51 |
“Matematica e guerra”. Lettera matematica pristem 47 (2003), 5–12. |
B:52 |
“Conceptual Divergence – Canons and Taboos – and Critique: Reflections on Explanatory Categories”. Historia Mathematica 31 (2004), 129–147. Preprint. The original publication is available at http://www.sciencedirect.com/science/journal/03150860, or directly. |
B:53 |
“Leonardo Fibonacci and Abbaco Culture: a Proposal to Invert the Roles”. Revue d'Histoire des Mathématiques 11 (2005), 23–56. Errata. |
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, or directly. |
B:55 |
“Artificial
Language in Ancient |
|
“The Roles of Mesopotamian Bronce Age Mathematics: Tool for State Formation and Administration - Carrier of Teachers' Professional Intellectual Autonomy”. Educational Studies in Mathematics 66 (2007), 257–271. Manuscript. |
B:55 |
“Generosity – No Doubt, but at Times Excessive and Delusive”. Journal of Indian Philosophy 35 (2007), 469–485, doi: 10.1007/s10781-007-9028-2. Preprint. The original publication is available at www.springerlink.com. |
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“ |
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“Baroque Mind-set and New Science: A Dialectic of Seventeenth-Century High Culture”. Sarton Chair Lecture. Sartoniana 22 (2009), 47–73.
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“State, ‘Justice’, Scribal Culture and Mathematics in Ancient Mesopotamia”. Sartoniana 22 (2009), 13–45.
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“`Proportions' in and around the Italian Abbacus Tradition”. Physis 46 (2009; published 2011), 55–110. Preprint.
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“Barocco e scienza secentesca: un legame inesistente?” Il Covile 12:694 (2012), 1–40. (New Edition of B:37).
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“ |
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“A Hypothetical History of
Old Babylonian Mathematics: Places, Passages, Stages, Development” |
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“ |
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“Embedding: Another Case of Stumbling Progress in the History of Algebra”. Physis, nuova series 50 (2015), 1–38.
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“Which kind of mathematics was known and referred to by those who wanted to integrate mathematics in «Wisdom» –Neopythagoreans and others?”. AIMS Mathematics 1 (2016), 77–95. |
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“ASeleucid,
Demotic and Mediterranean Mathematics versus Chapters VIII and IX of the
Nine Chapters: Accidental or significant Similarities?”.
Studies in the History of Natural Sciences 35 (2016), 463 |
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“What
Is `Geometric Algebra', and What Has It Been in Historiography?”.
AIMS Mathematics 2 (2017), 128
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“Archimedes –
Knowledge and Lore from Latin Antiquity to the Outgoing European Renaissance”.
Ganita
Bharati
39 (2017), 1
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“
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“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 |
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