ABSTRACT

Muhammad Baqir al-Yazdi was an Iranian mathematician who died around 1637. It is also in this book that al-Yazdi studies amicable numbers, and lists the pair that is now called 'of Descartes'. Muhammad Baqir al-Yazdi wrote a voluminous treatise called The Fountains of Arithmetic. Among the problems that are often taken up after al-Khazin, one encounters that of the general solution, with integers, of the Diophantine equation. The 10th century witnessed the birth of two relatively distinct traditions in Diophantine analysis. The first is that of the algebraists who, following the works of Abu Kamil and of the translation of seven books of Diophantus's Arithmetic, developed Diophantine rational analysis as an integral chapter of algebra. The second tradition is that of mathematicians such as al-Khujandi, al-Khazin, and Abu al-Jud, al-Sijzi, among others, who deliberately broke from the preceding tradition and chose a style decidedly different from that of Diophantus's Arithmetic.