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Chebyshevskii Sb., 2019, Volume 20, Issue 1, Pages 391–404 (Mi cheb740)  

HISTORY OF MATHEMATICS AND APPLICATIONS

The religious and legal aspect of al-Khwarizmi's algebra and its status in the hierarchy of sciences of al-Farabi

I. O. Lyuter

Institute of history of natural science and technology S. I. Vavilov Russian Academy of Sciences, Moscow

Abstract: The paper deals with a genuine Islamic scientific discipline, the science of the calculation of inheritance shares (‘Ilm al-Fara’id), and the applications of arithmetic and algebra to the problems of the distribution of inheritance according to the rules developed in this discipline. The main treatises considered in this regard are the relevant chapters of “The Compendious Book on Calculation by Completion and Balancing” by al-Khwarizmi, in which algebraic methods have been applied to the computation of the legal shares of legacy, the treatise on the law of inheritance “Sirajiyya” of al-Sajawandi, as well as the “Enumeration of Sciences” of al-Farabi, who provides a philosophical understanding of the status and nature of algebra.

Keywords: algebra of al-Khwarizmi, Islamic inheritance law, «Sirajiyyah» of al-Sajawandi, classification of mathematical sciences of al-Farabi.

DOI: https://doi.org/10.22405/2226-8383-2018-20-1-391-404

Full text: PDF file (579 kB)
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UDC: 51 (091)
Received: 10.12.2018
Accepted:10.04.2019

Citation: I. O. Lyuter, “The religious and legal aspect of al-Khwarizmi's algebra and its status in the hierarchy of sciences of al-Farabi”, Chebyshevskii Sb., 20:1 (2019), 391–404

Citation in format AMSBIB
\Bibitem{Lyu19}
\by I.~O.~Lyuter
\paper The religious and legal aspect of al-Khwarizmi's algebra and its status in the hierarchy of sciences of al-Farabi
\jour Chebyshevskii Sb.
\yr 2019
\vol 20
\issue 1
\pages 391--404
\mathnet{http://mi.mathnet.ru/cheb740}
\crossref{https://doi.org/10.22405/2226-8383-2018-20-1-391-404}


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