Manuscript/Mixed Material Kitāb matn al-Lumaʻ fī ʻilm al-ḥisāb / / Lumaʻ fī ʻilm al-ḥisāb

About this Item


  • Kitāb matn al-Lumaʻ fī ʻilm al-ḥisāb

Other Title

  • /
  • Lumaʻ fī ʻilm al-ḥisāb


  • The treatise preserved in this manuscript, Al-Luma'al-yasīra fī 'ilm al-hisāb (The little sparkles on the science of calculation), deals with Muslim inheritance. Of the social innovations that came with the Islamic conquest, the introduction of the system of fara'id (shares) for inheritances was one of the most radical and socially advanced. The fourth surah of the Qurʼan, verses 11-12, criticizes the traditional pre-Islamic system of agnatic succession, under which only men could inherit property, and provides for a proportional division among all the heirs, women included. The exact reckoning of the shares of inheritance became a delicate and complex subject within Islamic law, and Muslim intellectuals devised mathematical tools to simplify the calculations implied in the 'ilm al-fara'id (the science of the shares). This work, written in the last years of the 14th century, is a contribution on this subject by Aḥmad ibn Muḥammad ibn al-Ha'im (1356-1412). The treatise is not confined to problems of inheritance: Ibn al-Ha'im introduces his arguments with extensive passages on numbers, their types and different features, and devotes most of the work to discussing multiplication (darb) and division (qisma). World Digital Library.


  • Ibn al-Hāʼim, Aḥmad ibn Muḥammad, -1412
  • Mansuri Collection (Library of Congress)

Created / Published

  • [15--?]


  • -  Arithmetic--Early works to 1900
  • -  Manuscripts, Arabic--Washington (D.C.)
  • -  Mathematics, Arab--Early works to 1800


  • -  Binding: New leather binding.
  • -  Fol. 1a-10b.
  • -  Library of Congress. Mansuri Collection, 5-706.
  • -  Ms.
  • -  Naskhī script; 21 lines in written area, 16 x 11 cm.
  • -  Paper: yellowed cream, with watermarks, with torn edges, in bad condition: leaves repaired, dark stains on top of leaves. Text is principally in black ink with some rubricated words. A few marginal notes in various hands. Catchwords on rectos.
  • -  Also available in digital form on the Library of Congress website.
  • -  Arabic.
  • -  Purchase of Mahmud al-Mansuri collection, 1945.
  • -  Incipit: بسم الله الرحمن الرحسم الحمد لله رب العالمين و الصلاة و السلام على سيدنا محمد خاتم النبيين و على أله و صحبه الجمعين و بعد فهذه لمع يسيرة في علم الحساب....


  • 10 leaves (21 lines), bound : paper ; 21 x 13 cm.

Call Number/Physical Location

  • QA101 .I24 1500z

Digital Id

Library of Congress Control Number

  • 2008401695

Online Format

  • pdf
  • image

Additional Metadata Formats

IIIF Presentation Manifest

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Cite This Item

Citations are generated automatically from bibliographic data as a convenience, and may not be complete or accurate.

Chicago citation style:

Ibn Al-HāʼIm, Aḥmad Ibn Muḥammad, -1412, and Mansuri Collection. Kitāb matn al-Lumaʻ fī ʻilm al-ḥisāb. [15--?] Manuscript/Mixed Material.

APA citation style:

Ibn Al-HāʼIm, A. I. M. & Mansuri Collection. Kitāb matn al-Lumaʻ fī ʻilm al-ḥisāb. [15--?] [Manuscript/Mixed Material] Retrieved from the Library of Congress,

MLA citation style:

Ibn Al-HāʼIm, Aḥmad Ibn Muḥammad, -1412, and Mansuri Collection. Kitāb matn al-Lumaʻ fī ʻilm al-ḥisāb. [15--?] Manuscript/Mixed Material. Retrieved from the Library of Congress, <>.