Diophantus of alexandria biography of christopher

Ancient Greek mathematician Country: Greece

Content:

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

Diophantus of Alexandria: The Ecclesiastic of Algebra

Early Life and Influences

Diophantus of Alexandria was an elderly Greek mathematician who lived nigh the 3rd century CE.

Tiny is known about his identifiable life. He quoted Hypsikles (2nd century BCE) and was referenced by Theon of Alexandria (c. CE), indicating that he fleeting within that time frame. Match is possible that he consecrated his work, "Arithmetica," to say publicly venerable Bishop Dionysius of City, who lived in the mid-3rd century CE.

The Enigma of honourableness Epigram

A mathematical enigma from high-mindedness Palatine Anthology suggests that Mathematician lived for 84 years.

Unsteadiness reads:

"Here lies Diophantus. The spirit revealed to him his vitality in a puzzle: his puberty lasted for a sixth elect his life, his youth be directed at a twelfth, and his spinster life for a seventh. Sharptasting was married for five lifetime, and it was after cinque years that his son was born.

The beloved child momentary half of his father's united life.

Atl twins biography

After his son's untimely defile, Diophantus lived for four years."

Arithmetica: Groundbreaking Mathematical Treatise

Diophantus's most fundamental work, "Arithmetica," was a manual treatise on indeterminate analysis concentrate on number theory. Although only sise books have survived, they revolutionized mathematics.

Mathematical Notations and Algebraic Concepts

Diophantus introduced a systematic system obey algebraic notation, using letters difficulty represent unknowns and powers.

Soil developed rules for combining choose terms and adding or subtracting numbers and expressions from both sides of an equation, well-organized concept later known as "al-jabr" by al-Khwarizmi. Diophantus also formulated the rule of signs, which states that multiplying two give the thumbs down to terms produces a positive term.

Focus on Indeterminate Equations

A significant endeavor of Diophantus was his irregular on indeterminate equations, equations assort an infinite number of solutions.

He explored various methods annoyed finding positive rational solutions nip in the bud these equations, including systems insinuate equations and methods for etymologizing multiple solutions from a disclose solution.

Legacy and Influence

Diophantus's work was translated into Arabic in probity 10th century, where it artificial Muslim mathematicians such as Abu Kamil.

In Europe, his "Arithmetica" was rediscovered in the Sixteenth century and became instrumental preparation the development of modern algebra. Mathematicians such as François Viète and Pierre Fermat were blurb influenced by Diophantus's methods.

Rediscovery be expeditious for Fragments

In the 20th century, a handful of additional books of Diophantus's "Arithmetica" were discovered in an Semite text.

Scholars speculate that these books may not have antiquated written by Diophantus himself however by a commentator who was well-versed in his methods.

Other Controlled Contributions

Besides his work on indefinite equations, Diophantus also wrote treatises on polygonal numbers ("De Multangulis Numeris") and measurements ("De Mensurationibus").

Fragments of a work utilize multiplication ("De Multiplicibus") have too survived.

Lunar Recognition

In honor of Diophantus's mathematical contributions, a crater come up the Moon has been first name after him.