Jeffrey A. Oaks
Professor and chair
Mathematics and Computer Science
Office: Lilly Science Hall 213
Ph.D. 1991, University of Rochester
Schedule for Winter 2013
MATH 180 College Algebra & Trigonometry MTRF 3:00-3:50 in LSH 026
MATH 481 Real Analysis II MWF 2:00-2:50 in LSH 306
History of Mathematics (mainly medieval Arabic
appear) "Al-Khwarizmi". The [Oxford] Encyclopedia
of Philosophy, Science, and Technology in
(with Jean Christianidis) "Practicing algebra in late
antiquity: The problem-solving of Diophantus of
"The series of problems in al-Khwarizmi's Algebra".
Published online in HASTEC’s Carnet de Recherche:
"Algebraic 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 and Islam", and
"Geometry and Islam".
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.
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, 2009." BSHM
Bulletin: Journal of the British Society for
the History of Mathematics
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.
Countless articles and books have been included so
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
1999 Date Nails and Railroad Tie Preservation, University of Indianapolis Archeology and Forensics Laboratory. A 560 page book in three volumes.
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.