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Type of Item
The Shares According to Siraj
Sirāj al-Dīn Muḥammad ibn Muḥammad 'Sajāwandī was a 12th-century Hanafi jurist whose treatise on the laws of inheritance is regarded as the most important work in this field. This edition of his influential work was published in Lahore, Pakistan (then a part of British India), in 1886 or 1887. The English philologist and jurist Sir William Jones (1746-94) published the first English translation of this work in Kolkata (Calcutta), in 1792. Islamic inheritance law is a complex and refined system of rules that developed over several centuries, and that is ...
A Friendly Gift on the Science of Arithmetic
This treatise deals specifically with basic arithmetic, as needed for computing the division of inheritance according to Islamic law. It contains 48 folios and is divided into an introduction, three chapters, and a conclusion. The introduction discusses the idea of numbers as an introduction to the science of arithmetic. Chapter I discusses the multiplication of integers. Chapter II is on the division of integers and the computation of common factors. Chapter III deals extensively with fractions and arithmetic operations on them. The author, an Egyptian jurist and mathematician, was the ...
Commentary on the Gift of Arithmetic
This work is by Abd-Allāh Ibn Bahā al-Din Muhammad Ibn Abd-Allāh al-Shanshāri al-Shāfīī, an expert in calculating al-Fardī (inheritance portions). The cover page of the manuscript bears a magical form or talisman for finding a lost object. The main text is a detailed commentary on Tuhfat al-ahbāb fi al-hisāb (The friendly gift of arithmetic) by the renowned Egyptian scholar Badr al-Dīn Muhammad Ibn Muhammad Ibn Ahmad (1423–1506), known as the Sibt (grandson of) al-Mardini, who taught arithmetic and astronomy in Alazhar for several years. The original work has an ...
The Light of the Glitter in Mathematics
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, the text introduces the system of place values and explains multiplication of multi-digit whole numbers and simple and compound fractions. The text presents multiple examples that are described in verbal terms. As noted at the end of the manuscript, which was completed on Monday, 20 Rabī‘ I of the year ...
The Best of Arithmetic
This treatise on the art of arithmetic, completed in the late 1880s, opens a window into the early interaction between traditional and modern mathematical pedagogy in Egypt. The use of French loan words, such as million, along with some modern notation, indicates the author’s familiarity with developments in the teaching of arithmetic at the time. The work has an introduction followed by ten chapters and a conclusion. Following traditional praise for God, the Prophet Muhammad, and virtuous vanguards of learning, the treatise opens by introducing arithmetic as a useful ...
The Commentary on “The Little Sparkles on the Science of Calculation”
The treatise in this manuscript is a commentary on a mathematical treatise by Šihāb al-Dīn Aḥmad ibn Muḥammad Ibn al-Hā’im (circa 1355–1412). Ibn al-Hā’im taught mathematics and Islamic jurisprudence, subjects on which he wrote extensively. The erudite Badr al-Dīn Muhammad Sibt al-Māridīnī (circa 1423–1506), who was at the time working as muwaqqit (timekeeper) at the Al-Azhar mosque in Cairo, composed this short commentary less then 60 years after the death of Ibn al-Hā’im. Following widespread tradition in Islamic lands, Sibt al-Māridīnī included in the title ...
The Illumination of Inheritance Calculation
Islamic law goes into great detail on the subject of the division of inheritances (farā'id) among heirs. For this reason, inheritances have received extensive treatment in books of fiqh (Islamic law) and been a subject of study for mathematicians as well. Qabas al-Daw' fī al-Hisāb (The illumination of inheritance calculation) was copied by its author, ‘Abd al-Raḥman ibn Aḥmad ibn 'Ali al-Ḥamidi, in this 1589 manuscript. The work, which he dedicated to the son of the Šāf‘ī jurist Šams al-Dīn Muhammad al-Bahwašī, is an example of a genre ...
The Little Sparkles on the Science of Calculation
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 Qur'an, 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 ...
Commentary on "The Little Sparkles on the Science of Calculation"
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 of the shares" (‘ilm al-fara'iḍ). An important contribution to this field can be found in the work of Aḥmad ibn Muḥammad Ibn ...
The Boban Aztec Calendar Wheel
This Aztec pictorial calendar wheel, commonly known as the Boban calendar wheel, is printed on amatl (fig bark) paper. Initially dated to approximately 1530, it has now been more accurately dated to 1545–46. The initial dating derived from the identification of two figures shown in the document, one said to be Hernán Cortés and another said to be Don Antonio Pimentel Tlahuitoltzin, depicted as the son of Ixtlilxochitl. The scholar Patricia Lopes Don has argued for the date of 1545–46 based on the fact that Don Antonio Pimentel ...
The Compendious Book on Calculation by Completion and Balancing
Born into a Persian family in Khuwarizm (present-day Xorazm Province, Uzbekistan), Muhammad ibn Musa al-Khwarizmi (also known by the Latin form of his name, Algoritmi, circa 780–850 AD, 164–236 AH) was a Muslim mathematician, astronomer, and geographer, and a scholar in the famed House of Wisdom in Baghdad. Al-Khwarazmi wrote Kitab al-Jabr wa-l-Muqabala (The compendious book on calculation by completion and balancing) around 830 AD, with the encouragement of Caliph Al-Maamoun, the reigning Abbasid caliph of Baghdad in 813–33 AD. It is meant to be a useful ...
Commentary on the Work “Examples of Legal Hypotheses”
Timbuktu (present-day Tombouctou in Mali), founded around 1100 as a commercial center for trade across the Sahara Desert, was also an important seat of Islamic learning from the 14th century onward. The libraries there contain many important manuscripts, in different styles of Arabic scripts, which were written and copied by Timbuktu’s scribes and scholars. These works constitute the city’s most famous and long-lasting contribution to Islamic and world civilization. Islamic inheritance law is a highly regulated system in which individuals receive legacies depending upon their degree of relationship ...