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  • Manuscript/Mixed Material
    Kitāb sharḥ Nuzhat fī ʻilm al-ḥisāb
    كتاب شرح نزهة في علم الحساب /
    Manuscript is a commentary on Ibn al-Hāʼim's book Nuzhat al-nuẓẓār, which itself represents the author's abridgement of his work Murshidat al-tālib illá asnaʼ al-maṭālib. This 18th-century manuscript offers a clear example of the continued use in the Islamic world of the scientific commentary well after the end of Middle Ages, the period most associated with Arabic scientific achievement and this literary form. In this...
    • Contributor: Ibn Al-Hāʼim, Aḥmad Ibn Muḥammad - Ghazzī, Aḥmad Ibn Qāsim - Mansuri Collection (Library of Congress) - Azharī, Ḥasan Al-Badrī Al-Shāfiʼī Al-Shādhilī Al-Laythī
    • Date: 1722
    • Resource: - 124 pages

  • Manuscript/Mixed Material
    Kitāb matn al-Lumaʻ fī ʻilm al-ḥisāb
    كتاب متن اللمع في علم الحساب / | 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...
    • Contributor: Ibn Al-Hāʼim, Aḥmad Ibn Muḥammad - Mansuri Collection (Library of Congress)
    • Date: 15??
    • Resource: - 20 pages

  • Manuscript/Mixed Material
    Hādhihi Ḥāshīyat al-Shaykh al-Imām al-ʻĀlim al-ʻAllāmah Aḥmad al-Shāfiʻī al-Janājī al-Mālikī ʻalá Sharḥ Shaykh al-Islām Zakarīyā al-Anṣārī ʻalá al-Muqniʻ li-ibn al-Hāʼim fī ʻilm al-jabr wa-al-muqābalah
    هذه حاشية الشيخ الإمام العالم العلامة أحمد الشافعي الجناجي المالكي على شرح شيخ الإسلام زكريا الأنصاري على المقنع لإبن الهائم في علم الجبر والمقابلة
    Text is a commentary on Zakarīyā al-Anṣārī's commentary on the mathematical assumptions addressed by Ibn al-Hāʼim in al-Muqniʻ on the algebraic equality and inequality of functions. The Arabic mathematical tradition, which flourished during the Middle Ages, transmitted and enriched the knowledge derived from Greek and Indian sources. Arabic mathematicians further developed these studies, seeking to answer theoretical as well as practical problems. Medieval Arabic...
    • Contributor: Ibn Al-Hāʼim, Aḥmad Ibn Muḥammad - Yūsuf, Ṭāhā - Janājī, Aḥmad Muḥammad - Manṣūrī, Maḥmūd Al-Imām - Anṣārī, Zakarīyā Ibn Muḥammad - Mansuri Collection (Library of Congress)
    • Date: 1888
    • Resource: - 177 pages

  • Manuscript/Mixed Material
    Kitāb rafʻ al-ḥijāb ʻan wujūh aʻmāl al-ḥisāb : al-mulakhkhaṣah maʻa taqrīb al-maʻānī wa-ḍabṭ al-qawāʻid wa-al-mabānī fī ghayr hādhā al-kitāb
    كتاب رفع الحجاب عن وجوه اعمال الحساب : الملخصة مع تقريب المعاني وضبط القواعد والمباني في غير هذا الكتاب /
    Ms. is a commentary in two parts on the author's treatise on mathematics (Talkhīṣ aʻmāl al-ḥisāb). The establishment of the Berber-Muslim dynasty of the Almohads in North Africa and Andalusia in the 12th century coincided with the decline in scientific advances in many fields of knowledge, including medicine. This was not the case with mathematics, and the treatise preserved in this manuscript together with...
    • Contributor: Mansuri Collection (Library of Congress) - Ibn Al-Bannāʼ, Aḥmad Ibn Muḥammad - Jabartī, Ḥasan Ibn Ibrāhīm - Manṣūrī, Maḥmūd Al-Imām
    • Date: 17??
    • Resource: - 109 pages

  • Manuscript/Mixed Material
    Hādhā Sharḥ Shaykh al-Islām Zakarīyā al-Anṣārī li-manẓūmāt Ibn al-Hāʼim fī ʻilm al-jabr wa-al-muqābalah al-musammá bi-Fatḥ al-mubdiʻ fī sharḥ al-Muqniʻ
    هذا شرح شيخ الاسلام زكريا الانصاري لمنظومات لابن الهائم في علم الجبر و المقابلة المسمى بفتح المبدع في شرح المقنع
    This work is a commentary on a versified, 59-line introduction to algebra, entitled Al-Muqni' fī al-jabr wa al-muqābila, by the prolific and influential mathematician, jurist, and man of letters Abū al-'Abbās Shihāb al-Dīn Aḥmad ibn Muḥammad ibn 'Alī al-Maqdisī al-Shāfi'ī, known as Ibn al-Hā'im (circa 1356-1412 [circa 753-815 AH]). It clarifies the nomenclature and explains the basic concepts of algebra, and provides succinct examples....
    • Contributor: Ibn Al-Hāʼim, Aḥmad Ibn Muḥammad - Mansuri Collection (Library of Congress) - Manṣūrī, Maḥmūd Al-Imām - Yūsuf, Ṭāhā - Anṣārī, Zakarīyā Ibn Muḥammad
    • Date: 1888
    • Resource: - 43 pages

  • Manuscript/Mixed Material
    Hādhā Bughyat al-ṭullāb ʻalá Munyat al-ḥussāb
    هذا بغية الطلاب على منية الحساب / | Also known as: Bughyat al-ṭullāb fī sharḥ Munyat al-ḥussāb
    Poem written in rajaz meter. Marginal notes indicate that the manuscript was compared with another copy of the same text. This manuscript offers a clear example of the liveliness of the North African mathematical tradition under the Muslim-Berber dynasties that ruled over the Islamic West from the 12th century to the first half of the 17th century. They were the Almohads (12th-13th centuries), the...
    • Contributor: Mansuri Collection (Library of Congress) - Ibn Ghāzī, Muḥammad Ibn Aḥmad - Manṣūrī, Maḥmūd Al-Imām - Shandawīlī, Harīdī Aḥmad
    • Date: 17??
    • Resource: - 231 pages

  • Manuscript/Mixed Material
    Bahāʼīyah fī al-ḥisāb
    بهائية في الحساب
    Text is a well-known manual on arithmetic. The author of this mathematical treatise, Bahā' al-Dīn Al-'Amilī (1547-1621), is considered one of the leading intellectuals of 17th-century Safavid Persia (present-day Iran). He was born in Baalbek (present-day Lebanon) but moved to Persia in his youth where he devoted his entire life to study. He excelled in various fields, leaving a legacy of more than 80...
    • Contributor: Mansuri Collection (Library of Congress) - Ṭabbāqī, Muḥammad - ʻāmilī, Bahāʼ Al-Dīn Muḥammad Ibn Ḥusayn - Manṣūrī, Maḥmūd Al-Imām
    • Date: 17??
    • Resource: - 74 pages

  • Manuscript/Mixed Material
    Sharḥ al-Khulāṣah fī al-ḥisāb
    شرح الخلاصة في الحساب /
    Text is a commentary on al-Khulaṣah fī al-ḥisāb by Bahāʼ al-Dīn Muḥammad ibn Ḥusayn al-ʻĀmilī. Two poems attributed to ʻAmr ibn al-ʻĀṣ on title page in a different hand. Last page includes a note in a third hand on a different topic. The present manuscript preserves an extensive commentary on the 17th-century mathematical treatise Al-Ḫulāṣa fī al-Ḥisāb (The abridgment on calculus), which was composed...
    • Contributor: ʻāmilī, Bahāʼ Al-Dīn Muḥammad Ibn Ḥusayn - ʻamr Ibn Al - Baytūshī, ʻabd Allāh Ibn Muḥammad - ʻabāyī, ʻabd Allāh Ibn ʻīsá Ibn Ismāʻīl - Manṣūrī, Maḥmūd Al-Imām - Jazarī, Ramaḍān Ibn Abī Hurayrah - Mansuri Collection (Library of Congress)
    • Date: 1665
    • Resource: - 125 pages

  • Manuscript/Mixed Material
    Kitāb sharḥ al-Lumaʻ fī al-ḥisāb
    كتاب شرح اللمع في الحساب /
    The text is a commentary on al-Lumaʻ al-yasīrah fī ʻilm al-ḥisāb by Aḥmad ibn Muḥammad Ibn al-Hāʼim. According to the colophon, the author stated that he finished writing the commentary on 27 Ramaḍān 873 [10 April 1469] in Abū Tīj in al-Ṣa'īd, [Egypt]. The treatise in this manuscript is a commentary on a mathematical treatise by Šihāb al-Dīn Aḥmad ibn Muḥammad Ibn al-Hā'im (circa...
    • Contributor: Ibn Al-Hāʼim, Aḥmad Ibn Muḥammad - Sibṭ Al-Māridīnī, Badr Al-Dīn Muḥammad Ibn Muḥammad
    • Date: 17??
    • Resource: - 40 pages

  • Manuscript/Mixed Material
    Sharḥ al-ʻallāmah Aḥmad ibn Qāsim al-Ghazzī al-Shāfiʻī ʻalá al-Nuzhah fī al-ḥisāb li-Ibn al-Hāʼim
    شرح العلامة احمد ابن قاسم الغزي الشافعي على النزهة في الحساب لإبن الهائم
    Manuscript consists of an introduction, 2 chapters, and an epilogue. The text is a commentary on Ibn al-Hāʼim's book Nuzhat al-nuẓẓār, which itself represents the author's abridgement of his work Murshidat al-tālib illá asnaʼ al-maṭālib. The present manuscript preserves a copy of Aḥmad ibn Qāsim al-Shāfi'ī al-Ġhazzī's Kitāb sharḥ al-nuzha fī 'ilm al-ḥisāb (The book of the explanation of the excursion in the science...
    • Contributor: Ibn Al-Hāʼim, Aḥmad Ibn Muḥammad - Ghazzī, Aḥmad Ibn Qāsim - Mansuri Collection (Library of Congress) - Manṣūrī, Maḥmūd Al-Imām
    • Date: 17??
    • Resource: - 128 pages

  • Manuscript/Mixed Material
    Sharḥ al-Lumaʻ fī ʻilm al-ḥisāb
    شرح اللمع في علم الحسالب
    The system of fara'iḍ (shares) for inheritances is considered to be one of the most advanced innovations introduced by Muslim conquerors in Middle Eastern and North African societies. The exact calculation of shares of inheritance is a complex chapter in Islamic law, and it is not surprising that Muslim intellectuals and scientists developed a system of mathematical tools in order to master "the science...
    • Contributor: Ibn Al-Hāʼim, Aḥmad Ibn Muḥammad - Khāsikī, ʻalī Ibn Muḥammad Ibn Aḥmad - Mansuri Collection (Library of Congress) - Manṣūrī, Maḥmūd Al-Imām - Sibṭ Al-Māridīnī, Badr Al-Dīn Muḥammad Ibn Muḥammad
    • Date: 1761
    • Resource: - 44 pages

  • Manuscript/Mixed Material
    al-Lumʻah al-Māridīnīyah
    اللمعة الماردينية
    Text is a short treatise on arithmetic and a commentary on the versified treatise of arithmetic entitled al-Yāsamīnīyah by ʻAbd Allāh ibn Ḥajjāj Ibn al-Yāsamīn. The present manuscript preserves a very elegant copy of a work by one of the most prolific authors of the second half of the 15th century in the field of mathematics and related subjects: Badr al-Dīn Muḥammad ibn Muḥammad...
    • Contributor: Mansuri Collection (Library of Congress) - Ibn Al-Yāsamīn, ʻabd Allāh Ibn Ḥajjāj - Fayyūmī, Muḥammad Aḥmad ʻabd Al-Raḥīm Al-Azhārī - Sibṭ Al-Māridīnī, Badr Al-Dīn Muḥammad Ibn Muḥammad
    • Date: 1800
    • Resource: - 16 pages

  • Manuscript/Mixed Material
    al-Nuzhat al-ḥisāb li-Ibn al-Haʼīm
    النزهة الحساب لابن هائم
    According to Carl Brockelmann's Geschichte der Arabischen Litteratur (Supplement II, p. 154), the text is an abridgement of the author's book al-Murshidah fī ṣināʻat al-ghubār. This manuscript is an 18th-century copy of Nuzhat al-ḥisāb (The excursion of calculus) by mathematician Aḥmad ibn Muḥammad al-Farāḍī ibn al-Hā'im (around 1356-1412). The copyist of this brief but densely written codex provided his name and the date of...
    • Contributor: Ibn Al-Hāʼim, Aḥmad Ibn Muḥammad - Mansuri Collection (Library of Congress) - Ḥanbalī, Aḥmad Ibn Qāsim Ibn Aḥmad Ibn Muḥammad - Manṣūrī, Maḥmūd Al-Imām
    • Date: 1772
    • Resource: - 24 pages

  • Manuscript/Mixed Material
    Taʻlīq ʻalá al-urjūzah al-Yāsamīnīyah fī ʻilm al-jabr
    تعليق على الأرجوزة الياسمينية في علم الجبر
    Text is a short treatise on arithmetic and a commentary on the versified treatise of arithmetic entitled al-Yāsamīnīyah by ʻAbd Allāh ibn Ḥajjāj ibn al-Yāsamīn. The 12th-century mathematical poem known as al-Yāsamīnīyya fī 'ilm al-Jabr (The poem by al-Yāsamīn on calculus) from the name of its author, al-Yāsamīn, is one of the most read and commented upon mathematical texts of its time. Its verses...
    • Contributor: Yāsīn, Muḥammad ʻalī - Mansuri Collection (Library of Congress) - Ibn Al-Yāsamīn, ʻabd Allāh Ibn Ḥajjāj - Manṣūrī, Maḥmūd Al-Imām - Sibṭ Al-Māridīnī, Badr Al-Dīn Muḥammad Ibn Muḥammad
    • Date: 1911
    • Resource: - 25 pages

  • Manuscript/Mixed Material
    Ḍawʼ al-lumaʻ fī al-ḥisāb
    ضوء اللمع في الحساب
    Text is a poem on arithmetic dedicated to Shihāb al-Dīn Aḥmad ibn Shams al-Dīn Muḥammad al-Bahwashī al-Shāfiʻī, as mentioned at the end of the manuscript. This work is a versified treatise on arithmetic ('ilam al- ḥisāb), and specifically the art of dividing inheritance (farā'iḍ), which has application in Islamic law. After a standard expression of praise for the Prophet, his companions, and later followers,...
    • Contributor: Ibn Al-Hāʼim, Aḥmad Ibn Muḥammad - Bahwāshī, Shihāb Al-Dīn Aḥmad Ibn Shams Al-Dīn Muḥammad - Mansuri Collection (Library of Congress) - Ḥamīdī, ʻabd Al-Raḥmān Ibn Aḥmad Ibn ʻalī - Manṣūrī, Maḥmūd Al-Imām
    • Date: 1588
    • Resource: - 34 pages

  • Manuscript/Mixed Material
    Hādhā kitāb al-Lumʻah al-Māridīnīyah fī sharḥ al-Yāsamīnīyah fī ʻilm al-jabr wa-al-muqābalah
    هذا كتاب اللمعة الماردنية في شرح الياسمينية في علم الجبر والمقابلة
    Text is a commentary on the versified treatise of arithmetic entitled al-Yāsamīnīyah by ʻAbd Allāh ibn Ḥajjāj Ibn al-Yāsamīn. The mathematical tradition that flourished in North Africa and Andalusia during the Middle Ages did not undergo the same decline that many scholars claim occurred in the sciences after the first half of the 13th century. The present work supports this point. The manuscript is...
    • Contributor: Yūsuf, Ṭāhā - Mansuri Collection (Library of Congress) - Ibn Al-Yāsamīn, ʻabd Allāh Ibn Ḥajjāj - Manṣūrī, Maḥmūd Al-Imām - Sibṭ Al-Māridīnī, Badr Al-Dīn Muḥammad Ibn Muḥammad
    • Date: 1874
    • Resource: - 23 pages

  • Manuscript/Mixed Material
    Hādhihi Ḥāshīyat al-ʻĀlim al-ʻAllāmah al-Shaykh Aḥmad Muḥammad al-Shāfiʻī al-Janājī al-Mālikī ʻalá Sharḥ al-Sibṭ al-Māridīnī ʻalá al-Yāsamīnīyah fī ʻilm al-jabr wa-al-muqābalah
    هذه حاشية العالم العلامة الشيخ أحمج محمد الشافعي الجناجي المالكي على شرح السبط المارديني على الياسمينية في علم الجبر و المقابلة
    This supercommentary (commentary on a commentary) by Aḥmad Muhammad al-Šāfiʻī al-Janājī al-Mālikī testifies to the liveliness and endurance of the Arabic mathematical tradition and demonstrates the continuous exegetical effort in which Arabic scientists commented upon previous works with the aim of expanding and clarifying their contents. The North African mathematician 'Abd Allāh ibn Ḥajjāj ibn al-Yāsamīn (died 1204) conveyed his mathematical knowledge in a...
    • Contributor: Sibṭ Al-Māridīnī, Badr Al-Dīn Muḥammad Ibn Muḥammad - Yūsuf, Ṭāhā - Janājī, Aḥmad Muḥammad - Manṣūrī, Maḥmūd Al-Imām - Mansuri Collection (Library of Congress) - Ibn Al-Yāsamīn, ʻabd Allāh Ibn Ḥajjāj
    • Date: 1888
    • Resource: - 72 pages

  • Manuscript/Mixed Material
    Ḥāshīyat al-Ḥifnī ʻalá al-Yāsamīnīyah
    حأشية الحفني على اليأسمينية
    Commentary on Lumʻah al-Māridīnīyah fī sharḥ al-Yāsamīnīyah by Badr al-Dīn Muḥammad ibn Muḥammad Sibṭ al-Māridīni, which itself is an exposition of al-Yāsamīnīyah by ʻAbd Allāh ibn Ḥajjāj Ibn al-Yāsamīn. The colophon (fol. 14b) says that the author finished composing the work on 14 Shaʻbān 1167 H [6 June 1754]. The mathematical tradition that developed in North Africa during the Middle Ages continued to attract...
    • Contributor: Sibṭ Al-Māridīnī, Badr Al-Dīn Muḥammad Ibn Muḥammad - Fayyūmī, Muḥammad Aḥmad ʻabd Al-Raḥīm Al-Azhārī - Ḥifnī, Muḥammad Ibn Sālim - Mansuri Collection (Library of Congress) - Ibn Al-Yāsamīn, ʻabd Allāh Ibn Ḥajjāj - Maḥallī, ʻuthmān Ibn Yūsuf Ibn Yūsuf ʻuthmān Al-Ṣayyād - Manṣūrī, Maḥmūd Al-Imām
    • Date: 17??
    • Resource: - 31 pages

  • Manuscript/Mixed Material
    Hādhihi risālah li-Ibn al-Hāʼim al-musammāt [sic] Nuzhat al-ḥisāb, al-mukhtaṣarah min al-Murshidah
    هذه رسالة لابن الهائم المسمات نزهة الحساب المختصرة من المرشدة
    According to Carl Brockelmann's Geschichte der Arabischen Litteratur (Supplement II, p. 154), the text is an abridgement of the author's book al-Murshidah fī ṣināʻat al-ghubār. The manuscript contains an introduction, two chapters, and an epilogue. On fol. 1a is a table of written numbers for use in official documents as well as verses (in code?). On fol. 33b, verse 6:115 of the Qur'an is...
    • Contributor: Ibn Al-Hāʼim, Aḥmad Ibn Muḥammad - Mansuri Collection (Library of Congress) - Manṣūrī, Maḥmūd Al-Imām
    • Date: 16??
    • Resource: - 64 pages