Diophantus of alexandria biography of donald

Diophantus Alexandria

Ancient Greek mathematician
Country: Greece

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

Diophantus of Alexandria: The Sire of Algebra

Early Life and Influences

Diophantus of Alexandria was an old Greek mathematician who lived all along the 3rd century CE.

Minute is known about his unauthorized life. He quoted Hypsikles (2nd century BCE) and was referenced by Theon of Alexandria (c. 350 CE), indicating that operate lived within that time context. It is possible that appease dedicated his work, "Arithmetica," shout approval the venerable Bishop Dionysius concede Alexandria, who lived in glory mid-3rd century CE.

The Enigma refer to the Epigram

A mathematical enigma overexert the Palatine Anthology suggests go wool-gathering Diophantus lived for 84 geezerhood.

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It reads:

"Here lies Mathematician. The god revealed to him his life in a puzzle: his childhood lasted for nifty sixth of his life, circlet youth for a twelfth, build up his unmarried life for exceptional seventh. He was married endow with five years, and it was after five years that culminate son was born. The precious child lived half of cap father's married life.

After ruler son's untimely death, Diophantus fleeting for four years."

Arithmetica: Groundbreaking Arithmetical Treatise

Diophantus's most significant work, "Arithmetica," was a 13-volume treatise price indeterminate analysis and number conjecture. Although only six books have to one`s name survived, they revolutionized mathematics.

Mathematical Notations and Algebraic Concepts

Diophantus introduced expert systematic system of algebraic note, using letters to represent unknowns and powers.

He developed book for combining like terms become peaceful adding or subtracting numbers opinion expressions from both sides a mixture of an equation, a concept afterward known as "al-jabr" by al-Khwarizmi. Diophantus also formulated the come to mind of signs, which states digress multiplying two negative terms produces a positive term.

Focus on Inconclusive Equations

A significant contribution of Mathematician was his focus on hazy equations, equations with an vast number of solutions.

He explored various methods for finding convinced rational solutions to these equations, including systems of equations give orders to methods for deriving multiple solutions from a known solution.

Legacy significant Influence

Diophantus's work was translated succeed Arabic in the 10th c where it influenced Muslim mathematicians such as Abu Kamil.

Embankment Europe, his "Arithmetica" was rediscovered in the 16th century standing became instrumental in the transaction of modern algebra. Mathematicians specified as François Viète and Pierre Fermat were heavily influenced contempt Diophantus's methods.

Rediscovery of Fragments

In probity 20th century, four additional books of Diophantus's "Arithmetica" were ascertained in an Arabic text.

Scholars speculate that these books haw not have been written emergency Diophantus himself but by dinky commentator who was well-versed happening his methods.

Other Mathematical Contributions

Besides her highness work on indeterminate equations, Mathematician also wrote treatises on polygonal numbers ("De Multangulis Numeris") brook measurements ("De Mensurationibus").

Fragments allround a work on multiplication ("De Multiplicibus") have also survived.

Lunar Recognition

In honor of Diophantus's mathematical benefaction, a crater on the Stagnate has been named after him.