Arithmetic is an ancient Greek manuscript on mathematics, created by the mathematician Diophantus in the 3rd century AD. This is a collection of 130 algebraic problems with solutions of certain (having one solution) and indefinite equations.
The equations in the book are now called " Diophantine equations ." The method for solving them is known as Diophantine analysis . Most arithmetic problems lead to quadratic equations.
Reading the translation of Diophantus’s book inspired Pierre Fermat to propose Fermat’s Great Theorem in the margins of his copy of Arithmetic, which states that the equation where , , and - nonzero integers, has no solutions for more than 2.
Arithmetic became known to Muslim mathematicians in the X century [1] , when Abu l-Wafa translated it into Arabic [2] .
See also
- Diophantus of Alexandria
- Al-Khwarizmi
- Mathematics in Ancient Greece
Links
- ↑ Boyer, Carl B. The Arabic Hegemony // A History of Mathematics. - Second Edition. - John Wiley & Sons, Inc., 1991. - P. 234. - “Note the omission of Diophantus and Pappus, authors who evidently were not at first known in Arabia, although the Diophantine Arithmetica became familiar before the end of the tenth century . ". - ISBN 0-471-54397-7 .
- ↑ Boyer, Carl B. The Arabic Hegemony // A History of Mathematics. - Second Edition. - John Wiley & Sons, Inc., 1991. - P. 239. - “Abu'l-Wefa was a capable algebraist as well as a trigonometer. He commented on al-Khwarizmi's Algebra and translated from Greek one of the last great classics, the Arithmetica of Diophantus. ” - ISBN 0-471-54397-7 .