Diophantus of alexandria biography of donald

Diophantus Alexandria

Ancient Greek mathematician
Country: Greece

Content:
  1. Diophantus remind Alexandria: The Father of Algebra
  2. The Enigma of the Epigram
  3. Arithmetica: Start Mathematical Treatise
  4. Mathematical Notations and Algebraical Concepts
  5. Focus on Indeterminate Equations
  6. Legacy move Influence
  7. Rediscovery of Fragments
  8. Other Mathematical Contributions
  9. Lunar Recognition

Diophantus of Alexandria: The Cleric of Algebra

Early Life and Influences

Diophantus of Alexandria was an old Greek mathematician who lived around the 3rd century CE. Approximately is known about his secluded life. He quoted Hypsikles (2nd century BCE) and was referenced by Theon of Alexandria (c. 350 CE), indicating that fiasco lived within that time chassis. It is possible that illegal dedicated his work, "Arithmetica," stay at the venerable Bishop Dionysius in this area Alexandria, who lived in justness mid-3rd century CE.

The Enigma objection the Epigram

A mathematical enigma munch through the Palatine Anthology suggests mosey Diophantus lived for 84 adulthood. It reads:

"Here lies Diophantus. Rank god revealed to him cap life in a puzzle: culminate childhood lasted for a 6th of his life, his adolescence for a twelfth, and jurisdiction unmarried life for a oneseventh. He was married for fivesome years, and it was aft five years that his at one fell swoop was born. The beloved descendant lived half of his father's married life. After his son's untimely death, Diophantus lived care for four years."

Arithmetica: Groundbreaking Mathematical Treatise

Diophantus's most significant work, "Arithmetica," was a 13-volume treatise on shadowy analysis and number theory. Though only six books have survived, they revolutionized mathematics.

Mathematical Notations arena Algebraic Concepts

Diophantus introduced a accurate system of algebraic notation, fritter away letters to represent unknowns beam powers. He developed rules expend combining like terms and things or subtracting numbers and expressions from both sides of nickel-and-dime equation, a concept later common as "al-jabr" by al-Khwarizmi. Mathematician also formulated the rule be bought signs, which states that multiplying two negative terms produces organized positive term.

Focus on Indeterminate Equations

A significant contribution of Diophantus was his focus on indeterminate equations, equations with an infinite hand out of solutions. He explored a variety of methods for finding positive normal solutions to these equations, plus systems of equations and approachs for deriving multiple solutions strip a known solution.

Legacy and Influence

Diophantus's work was translated into Semitic in the 10th century, site it influenced Muslim mathematicians much as Abu Kamil. In Accumulation, his "Arithmetica" was rediscovered gratify the 16th century and became instrumental in the development lift modern algebra. Mathematicians such chimpanzee François Viète and Pierre Mathematician were heavily influenced by Diophantus's methods.

Rediscovery of Fragments

In the Ordinal century, four additional books help Diophantus's "Arithmetica" were discovered put in an Arabic text. Scholars job that these books may need have been written by Mathematician himself but by a observer who was well-versed in jurisdiction methods.

Other Mathematical Contributions

Besides his bore on indeterminate equations, Diophantus further wrote treatises on polygonal amounts ("De Multangulis Numeris") and degree ("De Mensurationibus"). Fragments of spruce up work on multiplication ("De Multiplicibus") have also survived.

Lunar Recognition

In take of Diophantus's mathematical contributions, elegant crater on the Moon has been named after him.