Nadmi, Mustapha (Author)

Karp, Alexander (Advisor)

Columbia University

Karp, Alexander

Publication date: 2019

Language: English

Publication Date: 2019

Physical Details: 164

Physical Details: 164

Outside Links

Mathematics of the Islamic medieval world is still not sufficiently studied. As a result, a goldmine of Islamic medieval books and materials lie unexplored. One manuscript that certainly deserves attention is al-Bāhir fi’l-Jabr (The Shining Treatise on Algebra) of al-Samaw’al ibn Yahya al-Maghribi, a twelfth century mathematician. Al-Bāhir fi’l-Jabr is a manuscript written in Arabic and has never been translated except for a few excerpts in French. The purpose of this study was to explore the mathematical and pedagogical contribution of al-Samaw’al through an analysis of al-Samaw’al’s mathematical techniques and methods in al-Bāhir fi’l-Jabr. Moreover, the treatise provides a precise description of the “arithmetization of algebra”, and gives an accounting of the original ideas of another mathematician, al-Karaji, whose original documents have been lost. To develop a comprehensive picture of al-Samaw’al’s mathematical techniques and methods in al-Bāhir fi’l-Jabr (and his contribution to algebra in particular) this research has been based mainly on a careful analysis of al-Samaw’al’s manuscript in MSS Aya Sofia numbered 2718 (116ﬀ), stored in the Suleymaniye library (Istanbul, Turkey). This study of al-Bāhir fi’l-Jabr focuses on an overview of how al-Samaw’al dealt with signed numbers, exponents and polynomial operations. Furthermore, this study describes the al-Samaw’al’s “method of the tables,” certain algorithms he employed, as well as his work on the binomial theorem, binomial coefficients, and the tabular arrangement known today as Pascal’s triangle. Most importantly, the study attempts to show the pedagogical approaches of al-Samaw’al. .

...More Citation URI

This citation is part of the Isis database.

Article
Leïla Hamouda;
Yassine Hachaichi;
(2021)

Note sur l'extraction de la racine carrée d'un entier chez ibn Al-Hayṯam et comparaison avec Al-Baġdādī
(/p/isis/citation/CBB183440774/)

Article
Jens Hoyrup;
(2018)

Explicit and Less Explicit Algorithmic Thinking, 1200-1500. Jordanus de Nemore, and the Contrast between Barthelemy de Romans et Chuquet
(/p/isis/citation/CBB729622687/)

Article
Christianidisa, Jean;
Oaks, Jeffrey;
(2013)

Practicing Algebra in Late Antiquity: The Problem-Solving of Diophantus of Alexandria
(/p/isis/citation/CBB001211810/)

Article
Eleonora Sammarchi;
(2019)

Les collections de problèmes algébriques dans le Qisṭās al-muʻādala fīʻilm al-jabr wa’l-muqābala d’al-Zanjānī
(/p/isis/citation/CBB505707989/)

Book
J.L. Berggren;
(2016)

Episodes in the Mathematics of Medieval Islam
(/p/isis/citation/CBB283154466/)

Book
Khayyam, Omar;
Khalil, Roshdi;
Deeb, Waleed;
(2009)

An essay by the Uniquely Wise 'Abel Fath Omar Bin Al-Khayyam on Algebra and Equations: Algebra Wa Al-Muqabala
(/p/isis/citation/CBB001450699/)

Thesis
Welsh, Whitney Elizabeth;
(2011)

Unthinkable: Mathematics and the Rise of the West
(/p/isis/citation/CBB001560636/)

Article
Jean Christianidis;
Athanasia Megremi;
(2019)

Tracing the Early History of Algebra: Testimonies on Diophantus in the Greek-Speaking World (4th–7th Century CE)
(/p/isis/citation/CBB972854742/)

Book
Rahman, Shahid;
(2008)

Unity of Science in the Arabic Tradition: Science, Logic, Epistemology and Their Interactions
(/p/isis/citation/CBB000951507/)

Article
Oaks, Jeff;
(2007)

Medieval Arabic Algebra as an Artificial Language
(/p/isis/citation/CBB001021584/)

Article
Oaks, Jeffrey A.;
(2009)

Polynomials and Equations in Arabic Algebra
(/p/isis/citation/CBB000932076/)

Article
Elisabetta Ulivi;
Martina Zoccola;
(2019)

Proporzioni e algebra nella trattatistica matematica del Basso Medioevo e del Rinascimento
(/p/isis/citation/CBB321829056/)

Chapter
Ilana Wartenberg;
(2012)

The Place of Ibn al-Ahdab's Epistle of the Number in the Diffusion of Arabic Mathematics in Hebrew in Medieval Europe
(/p/isis/citation/CBB906698085/)

Book
Fibonacci, Leonardo;
Sigler, L. E.;
(2002)

Fibonacci's *Liber Abaci*: A Translation into Modern English of Leonardo Pisano's Book of Calculation
(/p/isis/citation/CBB000301710/)

Chapter
Hélène Bellosta;
(2012)

La destinée arabe des Données d’Euclide
(/p/isis/citation/CBB209738412/)

Chapter
Roshidi Rashed;
(2012)

Actes fondateurs et principaux tournants des mathématiques arabes
(/p/isis/citation/CBB368400399/)

Article
Johansson, Bo Göran;
(2011)

Cube Root Extraction in Medieval Mathematics
(/p/isis/citation/CBB001036222/)

Article
Raffaella Franci;
(2018)

Il trattato d'arismetricha (Ms. Ricc. 2252 della Biblioteca Riccardiana di Firenze)
(/p/isis/citation/CBB625122449/)

Article
Corry, Leo;
(2013)

Geometry and Arithmetic in the Medieval Traditions of Euclid's *Elements*: A View from Book II
(/p/isis/citation/CBB001213490/)

Article
Oaks, Jeffrey A.;
Alkhateeb, Haitham M.;
(2005)

*Mal*, Enunciations, and the Prehistory of Arabic Algebra
(/p/isis/citation/CBB000771348/)

Be the first to comment!