ProofWiki:Mathematicians/Abū Bakr al-Karajī

Full name: Abū Bakr ibn Muḥammad ibn al Ḥusayn al-Karajī (or al-Karkhī).

Persian mathematician best known for the Binomial Theorem and what is now known as Pascal's Rule for their combination.

Also one of the first to use the Principle of Mathematical Induction.

Nationality

Persian

History

• Born: 13 April 953 in Baghdad (now in Iraq)
• Died: c. 1029

Theorems and Definitions

• Binomial Coefficients and Pascal's Rule
• Binomial Theorem
• Principle of Mathematical Induction

Books and Papers

• Al-Badi' fi'l-hisab (Wonderful on calculation)
• Al-Fakhri fi'l-jabr wa'l-muqabala (Glorious on algebra)
• Al-Kafi fi'l-hisab (Sufficient on calculation)

Also see

• John J. O'Connor and Edmund F. Robertson: "Abū Bakr al-Karajī": MacTutor History of Mathematics archive