Diophantus
Diophantus of Alexandria ( ancient Greek: Διόφαντος ὁ Ἀλεξανδρεύς ( Diophantus ho Alexandreús ), * and † between 100 BC and 350 AD) was a Greek mathematician. He is considered the greatest algebraists of antiquity.
It is not known exactly when he lived. The figures vary between 100 BC and 350 AD Since Diophantus of Alexandria quoted Hypsicles but he must have lived after 150 BC but before 364 AD, as Theon of Alexandria Diophantus's work mentioned. It is further believed that he lived around 250 AD, as he devoted his Arithmetica one Dionysius, in which it could be to Dionysius the Great, who was bishop of Alexandria AD 248.
Life
About the very life of Diophantus you know next to nothing. Are known is his work.
Diophantus was broken rational numbers as solutions of algebraic equations with several unknowns. Today it is called, however, algebraic equations are sought for integer solutions, Diophantine equations. Also named after him is the theory of Diophantine approximation.
The lunar crater Diophantus is named after him.
Works
- Arithmetica, 13 volumes
- De numeri polygonis, extract from the tenth volume of the Artihmetika.
Text output
- Diophantus of Alexandria, Pierre de Fermat, Claude Gaspard Bachet de Méziriac, Diophanti Alexandrini Arithmeticorum libri 6, et De numeri multangulis liber unus ( griech.u.lat. ). Cum comm. C ( laude ) G ( aspar ) Bacheti et obseruationibus P ( ierre ) de Fermat. Acc. doctrinae analyticae inuentum nouum coll, ex varijs EIU (1670 ). Bosc, Tolosae in 1670. 341.48 pp. ( Reprint).
- Paul Tannery: Diophanti Alexandrini opera omnia cum Graecis commentariis Diophantus
et ed. Latine interpretatus est Paul Tannery. Teubner, Stuttgart 1974. Vol 1 ( Ed. stereotypa anni ed 1873), Vol 2 ( Ed. stereotypa anni ed 1875), Bibliotheca scriptorum Graecorum et Romanorum Teubneriana.
- Diophante: Les Arithmétiques. Livre IV, Livres V-VI -VII. Texts établi et traduit par Roshdi Rashed. Les Belles Lettres, Paris 1984.
- Diophantus, Qusta Ibn Luqa al - Balabakki, Jacques Sesiano: Books IV ( four) to VII of Diophantus Arithmetica in the Arabic translation attributed to Qusta Ibn Luqa. . Springer, New York -Heidelberg - Berlin, 1982 Sources in the history of mathematics and physical sciences, 3rd Arithmetica (English ) - Text partly Arab. and Engl, Zugl: .. Providence, Brown Univ, Diss J. Sesiano, 1975 ( Reprint). .
- Arthur Czwalina: Arithmetic of Diophantus of Alexandria. From d Griech. speak. and explained by Arthur Czwalina. Cambridge University Press, Göttingen 1952 ( 1 Beih. to other treatises of the Mathematical Department, University of Hamburg).
- Diophantus of Alexandria: Arithmetica. The arithmetic and writing about Polygonalzahlen ( dt ). ( 6 Arithmeticorum libri et de numeri multangulis libri 1, dt ). Begl. Übers u with n of G ( ustav ) Wertheim ( 1890). Teubner, Leipzig 1890 ( Reprint).
- Pierre de Fermat, Maximilian Miller: Observations on Diophantus. Observationes ( dt ). From d Lat. transl. u ed by appointment. by Max Miller. Akad Verlagsges., Leipzig 1932 ( Ostwald's classic of the exact sciences No. 234).
- Thomas Heath Diophantus of Alexandria, Cambridge University Press 1910, with English translation of arithmetic into English and supplements to Fermat and Euler