Islamic-World Roots of Algorithmic Reasoning: Al-Khwārizmī, Algebra, Algorism, and Procedural Thought
Islamic-World Roots of Algorithmic Reasoning examines how procedural mathematics, algebra, positional calculation, astronomical tables, practical reckoning, cryptanalysis, mechanical devices, and translation movements shaped the long history of algorithms before computers. This article introduces al-Khwārizmī, algorism, al-jabr wa’l-muqābalah, Hindu-Arabic numerals, verbal procedures, inheritance calculation, commerce, surveying, geography, coordinates, astronomical prediction, frequency analysis, automata, Latin reception, and careful origin-story interpretation. It explains why Islamic-world scholarship should be understood not as a single-origin myth or mere preservation, but as a major center of translation, systematization, invention, pedagogy, and transmission. By connecting computational reasoning with manuscripts, tables, instruments, institutions, and practical problem solving, the article frames algorithms as cultural and mathematical procedures: rule-governed methods for transforming inputs into results across languages, civilizations, scholarly networks, legal systems, markets, observatories, and educational traditions over time, with enduring consequences for modern computational thought and algorithmic imagination.









