عنوان

A Significant Step toward the Development of Algebra:

شماره

TLpq2282532079

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

عنوان اصلي

A Significant Step toward the Development of Algebra:

نام عام مواد

[Thesis]

نام نخستين پديدآور

Nadmi, Mustapha

عنوان اصلي به قلم نويسنده ديگر

Al-Samawʾal Ibn Yahya Al-Maghribi, a Twelfth Century Mathematician

نام ساير پديدآوران

Karp, Alexander

نام ناشر، پخش کننده و غيره

Columbia University

تاریخ نشرو بخش و غیره

2019

نام خاص و کميت اثر

164

جزئيات پايان نامه و نوع درجه آن

Ph.D.

کسي که مدرک را اعطا کرده

Columbia University

امتياز متن

2019

متن يادداشت

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. .

موضوع مستند نشده

Biographies

موضوع مستند نشده

Mathematics

مستند نام اشخاص تاييد نشده

Karp, Alexander

مستند نام اشخاص تاييد نشده

Nadmi, Mustapha

نام الکترونيکي

فرمت انتشار

p

نوع ماده

[Thesis]

کد کاربرگه

276903

سطح دسترسي

a

تكميل شده

Y