Work by: Peyton S.
Muḥammad ibn Mūsā al-Khwārizmī (or al-Khwārizmī for short) was born in 780 and passed in 850 AD and was credited for being the “Father of Algebra”. “Al-Khwārizmī wrote a fundamental treatise on Hindu-Arabic numerals, which made use of these numbers popular. The introduction of the number zero was essential for mathematics, and the number 0 was used for about 250 years throughout the Islamic world before Europe ever heard of it! He also introduced the Hindu concept of decimal positioning notation to the Arab and European worlds, which we still use today” (Islamic Mathematics).
Al-Khwarizmi’s seminal work, “Al kitab al-Mukhtasar fi Hisab al-Jabr wal-Muqabala,” laid the foundation of algebra. This book, which translates to “The Compendious Book on Calculation by Completion and Balancing,” introduced methods to solve quadratic equations systematically, a significant departure from the earlier geometrical approaches. It was constructed around 820 AD and is one of the first texts for a systematic description of algebraic methods, as well as providing an exhaustive account of solving for the positive roots of polynomial equations up to the second degree.
One major impact of algebra was its role in advancing Islamic education and scholarship. Institutions like the House of Wisdom in Baghdad flourished, where scholars built upon Al-Kharizmi’s ideas, translating and spreading them across the Islamic world and beyond. This intellectual curiosity fostered an environment where mathematicians, astronomers, and scientists collaborated and exchanged ideas. Institutions such as the House of Wisdom in Baghdad became centers of learning, where algebra was studied and applied to fields such as astronomy, geography, and engineering. The precision and logic of algebra helped scholars develop more accurate maps, improve architectural designs, and even enhance financial transactions.
Algebra’s practical applications extended to trade, commerce, and administration. Merchants and officials used algebraic methods for financial transactions, land measurement, and architectural planning, and these advancements led to increased accuracy and efficiency in various economic activities, contributing to the prosperity of the Islamic world. Through trade, merchants used algebraic calculations to manage their businesses more efficiently, which included measuring the correct weights and conversions necessary for trading goods. It also helped calculate profits, losses, and investment returns, making trade more predictable and profitable.
In commerce, algebra was essential, as it calculated interest rates and loan payments. This is especially important today for contracts and dealing with credit, ensuring that business deals are fair and transparent. Accurate measurement and allocation of land were crucial for tax purposes, and algebraic methods helped ensure fairness and efficiency in these processes. It was also used in constructing public infrastructure, from buildings to roads, providing structural integrity and optimal design.
Here's a video on Al-Khwarizmi and his impactful number system.