First attest 1551, from Middle Latin from Arabic al jebr"reunion of broken parts" as in computation, used 9th. century by Baghdad mathematician Abu Ja'far Muhammad ibn Musa al-Khwarizmi as the title of his famous treatise on equations ("Kitab al-Jabr w'al-Muqabala" "Rules of Reintegration and Reduction"), which also introduced Arabic numerals to the West. The accent shifted 17th century from second syllable to first. The word was used in English 15-16century to mean "bone-setting," probably from the Arabs in Spain.
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The specific word "algebra" first appears in Latin, specifically medieval Latin. It's derived from an Arabic term "al jebr", though, if that's what you meant.
Because it introduced the advantages and properties in the field of mathematics of what we know today as algebra in which the word is derived from.
Algebra originated from the Arabic word 'Al Jabr'
algebra is an Arabic word, and originated from babylonians.
algebra - arabic, calculus - latin