Moses ibn Tibbon’s Hebrew Translation of al-Hassar's Kitab al Bayan - References

Manuscripts

Al-Hassar’s Kitab al-Bayan wa-l-tadhkar

Hebrew

Vatican Library, Rome: Vat. Ebr. 396. Paper, in quarto (ff. 78); Institute of Microfilmed Hebrew Manuscripts (IMHM), National Library of Israel, Jerusalem: Film No. F 474.

Christ Church College Library, Oxford University: Ms. 189. Paper, in folio (ff. 34); Neubauer OX 2457; IMHM, Film No. F 15581. Available as of August 2017 in digital format: http://digital.bodleian.ox.ac.uk/inquire/p/84d98448-57b9-4e7e-a627-9cd2dcc6dd3c

Russian State Library, Moscow: Guenzburg 30; IMHM Film No. F 6711; fols. 124r to 189r.

Arabic

Lawrence J. Schoenberg Collection, Rare Book & Manuscript Library, University of Pennsylvania, LJS 293: http://dla.library.upenn.edu/dla/medren/detail.html?id=MEDREN_4819340

“Abu Muhammed bin Abdullah bin Ayyash known as Hassar … Kitab al-Bayan Wa al-Tidhkar.” Christies of South Kensington, Lot 146; Sale Date April 18, 2016: http://www.christies.com

Another manuscript

Tractatus de minutis philosophicis et vulgaribus (A Treatise on Small Measurements, Scientific and General), Bodleian Library, Oxford, MS Digby 190.

Books and Articles

Aballagheta, M. and A. Djebbar, Découverte d’un écrit mathématique d’al-Ḥ̣̣aṣṣâr (Xlle S.): Le livre I du Kamil, Historia Mathematica 14 (1987), 147-158.

Berggren, J. L., Episodes in the Mathematics of Medieval Islam, Springer, New York (1986).

Briquet, Charles M., Les Filigranes. Paris etc. 1907.

Djebbar, Ahmed, Mathematics in Medieval Maghreb, Amuchma Newsletter-15 [African Mathematical Union], Universidade Pedagógica (UP), Maputo, Mozambique (1995): http://www.math.buffalo.edu/mad/AMU/amu_chma_15.html

Feynman, Richard, “The Abacist versus the Algorist”: http://press.princeton.edu/chapters/i9662.pdf

Karpinski, L. C., The History of Arithmetic, Rand McNally, Chicago, 1925.

Katscher, Friedrich, “Extracting Square Roots Made Easy: A Little Known Medieval Method.” MAA Convergence, vol. 7 (Nov. 2010), DOI:10.4169/loci003494.

Kunitzsch, Paul, “A New Manuscript of Abu Bakr al-Hassar's Kitab al-Bayan.” Suhayl, International Journal for the History of the Exact and Natural Sciences in Islamic Civilisation 3, 2002-03, S.187-192: http://www.ub.edu/arab/suhayl/volums/volum3/paper%203.pdf

Kunitzsch, Paul, “Al-Hassâr's Kitâb al-Bayân and the Transmission of the Hindu-Arabic Numerals.” Muslim Heritage: http://www.muslimheritage.com/topics/default.cfm?ArticleID=705

Lamrabet, Driss, Introduction à l’histoire des mathématiques maghrébines, Rabat, 1994, 2013.

Menninger, Karl, Number Words and Number Symbols, Dover Publications, 1992.

Miller, Jeff, “Earliest Uses of Symbols for Fractions,” last updated Dec. 22, 2014, in Earliest Uses of Various Mathematical Symbols: http://jeff560.tripod.com/mathsym.html

Pertsch, Wilhelm: Theil 3, Bd. 3: Die Arabischen Handschriften der Herzoglichen Bibliot [...], Gotha, 1881: http://archive.thulb.uni-jena.de/ufb/receive/ufb_cbu_00002974

Saidan, A. S., The Arithmetic of Al-Uqlidisi, D. Reidel Publishing Co., Dordrecht-Holland (1978). Includes English translation of a 12th century copy of the Kitāb al-Fusūl fī al-Ḥisāb al Hindī, written by Abū al Ḥasan al Uqlīdisī in Damascus in 952 CE.

Selin, Helaine, Encyclopaedia of the History of Science, Technology and Medicine in Non-Western Cultures, Springer Science+Business Media, Dordrecht (1997).

Steinschneider, Moritz, Die Hebraeischen Ubersetzungen des Mittlealters…, Berlin 1893.

Suter, H., “Das Rechenbuch des Abu Zakarîjâ el-Ḥ̣̣aṣṣâr,” Bibliotheca Mathematica, 3. Folge 2. Band 1901, pp. 12-40.

Suter, H., “Abhandlungen zur Geschichte der mathematischen Wissenschaften mit Einschluss ihrer Anwendungen” (Discourses on the history of mathematical sciences, including their applications), Druck und Verlag von B. G. Teubner, Leipzig (1900): http://quod.lib.umich.edu/u/umhistmath/ACD4271.0001.001?rgn=main;view=fulltext

Swetz, Frank J. and Victor J. Katz, “Mathematical Treasures – Margarita philosophica of Gregor Reisch,” MAA Convergence.

Zonghi’s Watermarks, The Paper Publication Society, Hilversum, 1953.

Further reading

Berggren, J. Lennart, “Chapter 3. Mathematics in the Islamic World in Medieval Spain and North Africa,” in Victor J. Katz (ed.), Sourcebook in the Mathematics of Medieval Europe and North Africa, Princeton University Press, 2016, pp. 381-547.