Thesis ID: CBB796528922

A Significant Step toward the Development of Algebra: Al-Samawʾal Ibn Yahya Al-Maghribi, a Twelfth Century Mathematician (2019)

unapi

Nadmi, Mustapha (Author)
Karp, Alexander (Advisor)


Columbia University
Karp, Alexander
Publication date: 2019
Language: English


Publication Date: 2019
Physical Details: 164

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
data.isiscb.org/p/isis/citation/CBB796528922

This citation is part of the Isis database.

Similar Citations

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/) unapi

Article Christianidisa, Jean; Oaks, Jeffrey; (2013)
Practicing Algebra in Late Antiquity: The Problem-Solving of Diophantus of Alexandria (/p/isis/citation/CBB001211810/) unapi

Book J.L. Berggren; (2016)
Episodes in the Mathematics of Medieval Islam (/p/isis/citation/CBB283154466/) unapi

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/) unapi

Thesis Welsh, Whitney Elizabeth; (2011)
Unthinkable: Mathematics and the Rise of the West (/p/isis/citation/CBB001560636/) unapi

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/) unapi

Book Rahman, Shahid; (2008)
Unity of Science in the Arabic Tradition: Science, Logic, Epistemology and Their Interactions (/p/isis/citation/CBB000951507/) unapi

Article Oaks, Jeff; (2007)
Medieval Arabic Algebra as an Artificial Language (/p/isis/citation/CBB001021584/) unapi

Article Oaks, Jeffrey A.; (2009)
Polynomials and Equations in Arabic Algebra (/p/isis/citation/CBB000932076/) unapi

Article Elisabetta Ulivi; Martina Zoccola; (2019)
Proporzioni e algebra nella trattatistica matematica del Basso Medioevo e del Rinascimento (/p/isis/citation/CBB321829056/) unapi

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/) unapi

Chapter Hélène Bellosta; (2012)
La destinée arabe des Données d’Euclide (/p/isis/citation/CBB209738412/) unapi

Chapter Roshidi Rashed; (2012)
Actes fondateurs et principaux tournants des mathématiques arabes (/p/isis/citation/CBB368400399/) unapi

Article Johansson, Bo Göran; (2011)
Cube Root Extraction in Medieval Mathematics (/p/isis/citation/CBB001036222/) unapi

Article Raffaella Franci; (2018)
Il trattato d'arismetricha (Ms. Ricc. 2252 della Biblioteca Riccardiana di Firenze) (/p/isis/citation/CBB625122449/) unapi

Article Corry, Leo; (2013)
Geometry and Arithmetic in the Medieval Traditions of Euclid's Elements: A View from Book II (/p/isis/citation/CBB001213490/) unapi

Article Oaks, Jeffrey A.; Alkhateeb, Haitham M.; (2005)
Mal, Enunciations, and the Prehistory of Arabic Algebra (/p/isis/citation/CBB000771348/) unapi

Authors & Contributors
Oaks, Jeffrey A.
Christianidis, Jean P.
Alkhateeb, Haitham M.
Bellosta, Hélène
Berggren, John Lennart
Corry, Leo
Journals
Historia Mathematica
Bollettino di Storia delle Scienze Matematiche
Archive for History of Exact Sciences
Arabic Sciences and Philosophy
Journal of Indian Philosophy
Médiévales
Publishers
Edizioni Cadmo
Springer
Duke University
Garnet
Springer-Verlag
Concepts
Algebra
Mathematics
Arab/Islamic world, civilization and culture
Geometry
Algorithms
Manuscripts
People
Euclid
Ibn al-Haytham, Abū ʿAlī al-Ḥasan
Shuja' Ibn Aslam, Abu Kamil
al-Khayyam, Ghiyath al-Din Abul Fateh Omar Ibn Ibrahim
al-Khwārizmī, Muḥammad ibn Mūsā
Avicenna
Time Periods
Medieval
Ancient
13th century
14th century
11th century
12th century
Places
Europe
Mediterranean region
Italy
Alexandria (Egypt)
Rome (Italy)
France
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment