Diophantus

  • title page of the original 1621 edition of the latin translation by claude gaspard bachet de méziriac of diophantus' arithmetica.

    diophantus of alexandria (ancient greek: Διόφαντος ὁ Ἀλεξανδρεύς; born probably sometime between ad 201 and 215; died around 84 years old, probably sometime between ad 285 and 299) was an alexandrian hellenistic mathematician, who was the author of a series of books called arithmetica, many of which are now lost. his texts deal with solving algebraic equations. while reading claude gaspard bachet de méziriac's edition of diophantus' arithmetica, pierre de fermat concluded that a certain equation considered by diophantus had no solutions, and noted in the margin without elaboration that he had found "a truly marvelous proof of this proposition," now referred to as fermat's last theorem. this led to tremendous advances in number theory, and the study of diophantine equations ("diophantine geometry") and of diophantine approximations remain important areas of mathematical research. diophantus coined the term παρισότης (parisotes) to refer to an approximate equality.[1] this term was rendered as adaequalitas in latin, and became the technique of adequality developed by pierre de fermat to find maxima for functions and tangent lines to curves. diophantus was the first greek mathematician who recognized fractions as numbers; thus he allowed positive rational numbers for the coefficients and solutions. in modern use, diophantine equations are usually algebraic equations with integer coefficients, for which integer solutions are sought.

  • biography
  • arithmetica
  • other works
  • influence
  • diophantine analysis
  • mathematical notation
  • see also
  • notes
  • references
  • further reading
  • external links

Title page of the original 1621 edition of the Latin translation by Claude Gaspard Bachet de Méziriac of Diophantus' Arithmetica.

Diophantus of Alexandria (Ancient Greek: Διόφαντος ὁ Ἀλεξανδρεύς; born probably sometime between AD 201 and 215; died around 84 years old, probably sometime between AD 285 and 299) was an Alexandrian Hellenistic mathematician, who was the author of a series of books called Arithmetica, many of which are now lost. His texts deal with solving algebraic equations. While reading Claude Gaspard Bachet de Méziriac's edition of Diophantus' Arithmetica, Pierre de Fermat concluded that a certain equation considered by Diophantus had no solutions, and noted in the margin without elaboration that he had found "a truly marvelous proof of this proposition," now referred to as Fermat's Last Theorem. This led to tremendous advances in number theory, and the study of Diophantine equations ("Diophantine geometry") and of Diophantine approximations remain important areas of mathematical research. Diophantus coined the term παρισότης (parisotes) to refer to an approximate equality.[1] This term was rendered as adaequalitas in Latin, and became the technique of adequality developed by Pierre de Fermat to find maxima for functions and tangent lines to curves. Diophantus was the first Greek mathematician who recognized fractions as numbers; thus he allowed positive rational numbers for the coefficients and solutions. In modern use, Diophantine equations are usually algebraic equations with integer coefficients, for which integer solutions are sought.

Other Languages
български: Диофант
bosanski: Diofant
čeština: Diofantos
dansk: Diofant
eesti: Diophantos
Ελληνικά: Διόφαντος
فارسی: دیوفانت
Frysk: Diofantus
Gaeilge: Diafantas
한국어: 디오판토스
հայերեն: Դիոֆանտ
hrvatski: Diofant
Bahasa Indonesia: Diofantos
עברית: דיופנטוס
қазақша: Диофант
Latina: Diophantus
latviešu: Diofants
magyar: Diophantosz
македонски: Диофант
മലയാളം: ഡയോഫാന്റസ്
Nederlands: Diophantus
norsk: Diofant
oʻzbekcha/ўзбекча: Diofant
Piemontèis: Diofant
polski: Diofantos
română: Diofant
Scots: Diophantus
shqip: Diofanti
slovenščina: Diofant
کوردی: دیۆفانتوس
српски / srpski: Диофант
srpskohrvatski / српскохрватски: Diofant
suomi: Diofantos
svenska: Diofantos
Türkçe: Diophantus
Tiếng Việt: Diofantos
Winaray: Diophantus
中文: 丢番图