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Al-Khwarizmi: The Baghdad Scholar Behind Algebra and Algorithms

Episode 13083 Published 4 days, 10 hours ago
Description

The word algorithm sounds like modern tech jargon, but it is actually a centuries-old Latin rendering of one ninth-century scholar's name. This deep dive follows al-Khwarizmi, a Persian-heritage mathematician who wrote in Arabic and worked as an astronomer and head of the library at the House of Wisdom in Baghdad under the Abbasid Caliph al-Mamun.

We explore how messy Islamic inheritance disputes pushed him to write al-Jabr, the book that gave us algebra, and why his shift from geometry to abstract operational logic mattered more than solving any single equation. Then we follow his work on Hindu-Arabic numerals and zero, his astronomical and trigonometric tables, and a 70-person project that redrew Ptolemy's map of the world.

  • How al-Jabr (restoration) and al-muqabala (balancing) turned inheritance math into a universal method written entirely in prose
  • Why scholars still credit him over Diophantus and Brahmagupta: six standard equation forms and geometric proofs
  • His text on Indian computation, the sand-covered dustboard, and how 'Dixit Algorithmi' became the word algorithm
  • The Zij al-Sindhind astronomical tables and the sine and cosine values behind prayer times and navigation
  • Using lunar eclipses as a global clock to shrink Ptolemy's Mediterranean from 63 to 50 degrees of longitude
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