Jeffrey A. OaksProfessor, Mathematics and Computer Science
Visiting professor, École des Hautes Études en Sciences Sociales (Paris, France) March 2014.
Office: Martin Hall 367
Schedule for Winter 2016
MATH 191 Calculus II MWRF 1:00-1:50
MATH 380 Modern Geometries MWF 9:00-9:50
MATH 431 Abstract Algebra II MWF 10:00-10:50
History of Mathematics (mainly medieval Arabic
appear) “Diophantus, al-Karajī, and quadratic equations”.
To appear in: Michalis Sialaros, ed., Revolutions and
Continuity in Greek Mathematics. Berlin : de
appear) “Algebra according to early Arabic
authors”. To appear in: Karine Chemla, Tian Miao, edd., A
Worldwide Approach to the Early History of Algebra.
Heidelberg : Springer.
In: Helaine Selin, ed., Encyclopedia of the History
of Science, Technology, and Medicine in Non-Western
Cultures, third edition.
2015 “Series of problems in Arabic algebra:
The example of ʿAlī al-Sulamī”. To appear in: Alain Bernard et al, edd., Les Séries de Problèmes, un
Genre au Carrefour des Cultures. Les Ulis: EDP
The [Oxford] Encyclopedia of Philosophy,
Science, and Technology in Islam, Vol I, pp.
(with Mahdi Abdeljaouad) “Al-Hawārī’s
commentary on Ibn al-Bannāʾ’s Talkhīṣ: Contents and
: Journal for the History of the Exact and Natural
Sciences in Islamic Civilisation 12, 9-44.
“The series of
problems in al-Khwarizmi's Algebra”.
Published online in HASTEC’s Carnet de Recherche: http://problemata.hypotheses.org/157.
symbolism in medieval Arabic”.
Philosophica 87, 27-83. Available online: http://logica.ugent.be/philosophica/fulltexts/87-2.pdf.
Four articles for Springer Verlag's Encyclopedia
of Sciences and Religions: “Mathematics
and Islam”, “Arithmetic
and Islam”, “Algebra
2011 “Geometry and proof in Abū Kāmil's algebra”. Pp. 234-256 in: Actes du 10ème Colloque Maghrébim sur l'Histoire des Mathématiques Arabes (Tunis, 29-30-31 mai 2010). Tunis : L'Association Tunisienne des Sciences Mathématiques. Online version: http://pages.uindy.edu/~oaks/Articles/AbuKamilOaks.pdf
2010 “Equations and equating in Arabic mathematics”. Archives Internationales d'Histoire des Sciences 60, 265-298.
2010 “Polynomials and equations in medieval Italian algebra”. Bollettino di Storia delle Scienze Matematiche 30, 23-60.
2009 “Polynomials and equations in Arabic algebra”. Archive for History of Exact Sciences 63, 169-203.2007 “Medieval Arabic algebra as an artificial language”. Journal of Indian Philosophy 35, 543-575. This is my contribution to the meeting "The Generosity of Artificial Languages in an Asian Perspective" held in Amsterdam, May 18-20, 2006, and sponsored by the International Institute for Asian Studies.
2007 (with Haitham M. Alkhateeb) “Simplifying equations in Arabic algebra”. Historia Mathematica 34, 45-61.
2013 (with Mahdi Abdeljaouad) Al-Lubāb fī sharḥ Talkhīṣ aʿmāl al-ḥisāb (The Essential Commentary on [Ibn al-Bannāʾ's] Condensed Book on the Operations of Arithmetic). By ʿAbd al-ʿAzīz ibn ʿAlī ibn Dāwud al-Hawārī al-Miṣrātī. Tunis : Association Tunisienne de Didactique des Mathématiques. 270 p.
"Roshdi Rashed. Histoire de l'Analyse Diophantienne
Classique (French) [History of Classical
Diophantine Analysis] Berlin : Walter de Gruyter,
2013. x+349 pp.'' Mathematical Reviews.
"Abū Kāmil : Algèbre et Analyse Diophantienne.
Edition, translation and commentary by Roshdi Rashed". Aestimatio
"Roshdi Rashed. Apollonius de Perge, La
section des droites selon des rapports (French) [Apollonius
of Perge, The cutting off of a ratio] Berlin, New
York : Walter de Gruyter, 2010. vii+493 pp.'' Mathematical
2012 "L'Eredità arabo-islamica nelle scienze e nelle arti del calcolo dell'Europa medievale (The Arabic-Islamic heritage in the sciences and arts of calculation in Medieval Europe) By Nadia Ambrosetti". Historia Mathematica 39, 460-462.
"Roshdi Rashed, ed., Al-Khwārizmī: The
Beginnings of Algebra. London: SAQI,
Bulletin: Journal of the British Society for the
History of Mathematics 26,
2009 "Medieval Italian practical mathematics. Jacopo da Firenze's Tractatus Algorizmi and Early Italian Abbacus Culture, by Jens Høyrup. (Basel: Birkhauser, 2007)." Newsletter of the Canadian Society for the History and Philosophy of Mathematics. Vol. 45, November 2009, 19-23. The full 14-page review is on the Society's web page: http://www.cshpm.org/ (click on"archives"). Høyrup's answer is there, too, and my response to his answer can be found at http://pages.uindy.edu/~oaks/Articles/ResponseHoyrup.pdf. (Reviews by Menso Folkerts and Warren van Egmond agree with me, and Raffaella Franci has recently written an article explicitly supporting my conclusions. "The history of algebra in Italy in the 14th and 15th centuries. Some remarks on recent historiography" is available online: http://publicacions.iec.cat/repository/pdf/00000165%5C00000095.pdf.
"Barnabas Hughes, ed., Fibonacci's De
Practica Geometrie (Heidelberg: Springer,
compiled an online Bibliography of Medieval Islamic
Mathematics, arranged by topic: http://facstaff.uindy.edu/~oaks/Biblio/Intro.htm.
In the past few years I have slacked off, so it is not
1994 "Singularities and self-intersections of curves evolving on surfaces". Indiana University Mathematics Journal 43, 959-981. The main result and its proof can also be found in the 2001 book The Curve Shortening Problem by Kai-Seng Chou and Xi-Ping Zhu (CRC Press).
Railroad tie preservation and
Not surprisingly, I am
just about the only one around who studies the history
of railroad tie preservation. For more info click
1999 Date Nails and Railroad Tie Preservation, University of Indianapolis Archeology and Forensics Laboratory. A 560 page book in three volumes. In 2013 I put it online for free. Click on the link above.
In the April 2006 issue
of Technology and Culture is Mark Aldrich's article
"From Forest Conservation to Market Preservation:
Invention and Diffusion of Wood-Preserving Technology,
1880-1939". The author makes many minor errors, he
misses or misrepresents the major episodes in the
history of tie preservation, and his main argument is
completely wrong. I wrote a rebuttal, which at 22
pages turned out to be too long for the journal.
The full version an be read here:
My reduced, two-page critique appeared as part of "Communications", Technology and Culture 48.3, July 2007, pp. 680-688.
The Roman Calendar
1995 Ancient Roman Calendar. Privately published. For a .pdf file of the whole book, click here: http://pages.uindy.edu/~oaks/Calendar.pdf.
1996 "The Birth Dates of Valentinian II and Valentinian III: A Correction to PLRE I", Medieval Prosopography 17.1, 147-148.