Commentary

The prologue to al-Khwarizmi's Algebra explains that the work addresses the arithmetic people need in everyday legal and commercial life, and this practical orientation is among its most discussed features. Roshdi Rashed, in his study of the development of Arabic mathematics, argues that the treatise should be read as a systematic attempt to reduce problems of inheritance and partition to a small number of standard operations, rather than as an abstract exercise. Victor Katz, in his history of mathematics, notes that the prologue reflects a juridical setting in which the division of estates under Islamic law required reliable calculation, and that al-Khwarizmi's method answers that need. Rashed's analysis further suggests that the work's emphasis on the practical is consistent with the broader Baghdad culture of the early ninth century, in which court officials, judges, and surveyors were the principal users of mathematical knowledge. Because the wording given here derives from a nineteenth-century English translation and is not a line-by-line rendering of the Arabic, it should be treated as an approximation. Readers should consult Rashed's edition and commentary, which discuss the prologue in its original context, before quoting the phrasing.