Al-Karaji

Abu Bakr Muhammad ibn al -Husayn al - Karadschi (Arabic أبو بكر محمد بن الحسين الكرجي, DMG Abū Bakr Muḥammad b. Al -Husayn al - Karaǧī, also Karaji, or al - Karchi / الكرخي / al - karhi, also al - Karkhi, also al -Hasan / الحسن / al - Ḥasan, born April 13, 953 in Baghdad; † around 1029 ) was a Persian mathematician.

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He founded the theory of quadratic equations. He also was able to show that it is possible some equations of higher degree traced to quadratic equations. His two- part work al - Fahri was influenced by the book Arithmetica of Diophantus of Alexandria. He also draws on statements by the mathematician Abu Kamil. In al - Fahri he will deal with the solutions of quadratic equations. Also, the evidence of a sum formula for the sum of consecutive cubes goes back to al - Karadschi. He used the full induction.

His results are only partially preserved in the writings of others ( Al- Samawal ), for example, his introduction of Pascal's triangle.