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Diophantus. Diophantus of Alexandria (born c. AD 200 – c. 214; died c. AD 284 – c. 298) was a Greek mathematician, who was the author of two main works: On Polygonal Numbers, which survives incomplete, and the Arithmetica in thirteen books, most of it extant, made up of arithmetical problems that are solved through algebraic equations.
Jul 7, 2020 · Download chapter PDF. Diophantus is like an island in the history of mathematics. He lived in Alexandria around 250 C.E. Nobody before him had ever tackled a study of arithmetic over the field of rational numbers. It was 1,300 years before Western 1 mathematicians to become interested in this type of problem (Bombelli, Viète, Bachet, Fermat ...
Among those treatises is the Arithmetic of Diophantus of Alexandria (approx. 200–284) which was written, using the new algebraic language, by the French mathematician Jacques Ozanam (1640–1718), who in addition to profusely increasing the original problems of Diophantus, solved them in a general way, thus obtaining many geometric consequences.
Diophantus’ Contribution in Mathematics. Diophantus, also known as the ‘father of Algebra,’ was a Greek mathematician, who was born in 200 AD. He is best known for his series of books ‘Arithmetica.’. He was the first to recognize fractions as numbers. Although there are very few facts known about his life, it is believed that he lived ...
Diophantus often refers to the \triangle formed by" two numbers or an unknown and a number. By this he means that given positive rational numbers m and n, the triangle formed by m and n is the right triangle with sides given by Euclid's result that m2 n2; 2mn; m2 + n2. is a Pythagorean triple.
Jan 1, 2023 · Like with Heron, the dating of Diophantus’ life is disputed. Since he is neither mentioned by Nicomachus of Gerasa nor by Theon of Smyrna, he could have lived around 250 AD. Since he quotes Hypsicles of Alexandria (around 150 BC) himself, he cannot have lived earlier. He is himself quoted by Theon of Alexandria (335-405 AD), so he must have ...
丢番图的研究在數論中占有重要地位，如 丟番圖方程 、 丟番圖幾何 、 丟番圖逼近 等都是數學裡的重要領域。. 丟番圖是第一個承認 分數 是一種 數 的希臘數學家，并允許 方程 中的 系數 和 解 為 有理數 ，這在 數學史 中是具有開創性的。. 不過在今天， 丟番 ...
