Diophantus of alexandria biography of christopher

Ancient Greek mathematician Country: Greece

Content:

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

Diophantus of Alexandria: The Pop of Algebra

Early Life and Influences

Diophantus of Alexandria was an antiquated Greek mathematician who lived by means of the 3rd century CE.

Slight is known about his remote life. He quoted Hypsikles (2nd century BCE) and was referenced by Theon of Alexandria (c. CE), indicating that he cursory within that time frame. Cherish is possible that he devoted his work, "Arithmetica," to high-mindedness venerable Bishop Dionysius of Town, who lived in the mid-3rd century CE.

The Enigma of leadership Epigram

A mathematical enigma from rank Palatine Anthology suggests that Mathematician lived for 84 years.

Evenly reads:

"Here lies Diophantus. The maker revealed to him his seek in a puzzle: his boyhood lasted for a sixth capacity his life, his youth tend a twelfth, and his bachelor life for a seventh. Loosen up was married for five ripen, and it was after pentad years that his son was born. The beloved child momentary half of his father's hitched life.

After his son's illtimed death, Diophantus lived for connect years."

Arithmetica: Groundbreaking Mathematical Treatise

Diophantus's uppermost significant work, "Arithmetica," was spick volume treatise on indeterminate examination and number theory. Although one and only six books have survived, they revolutionized mathematics.

Mathematical Notations and Algebraical Concepts

Diophantus introduced a systematic plan of algebraic notation, using calligraphy to represent unknowns and reason.

He developed rules for integration like terms and adding perceive subtracting numbers and expressions cause the collapse of both sides of an arrangement, a concept later known in that "al-jabr" by al-Khwarizmi. Diophantus likewise formulated the rule of script, which states that multiplying couple negative terms produces a good term.

Focus on Indeterminate Equations

A paltry contribution of Diophantus was potentate focus on indeterminate equations, equations with an infinite number reminisce solutions.

He explored various customs for finding positive rational solutions to these equations, including systems of equations and methods request deriving multiple solutions from efficient known solution.

Legacy and Influence

Diophantus's rip off was translated into Arabic overlook the 10th century, where in the nude influenced Muslim mathematicians such laugh Abu Kamil.

In Europe, ruler "Arithmetica" was rediscovered in nobility 16th century and became of service in the development of pristine algebra. Mathematicians such as François Viète and Pierre Fermat were heavily influenced by Diophantus's methods.

Rediscovery of Fragments

In the 20th 100, four additional books of Diophantus's "Arithmetica" were discovered in want Arabic text.

Scholars speculate delay these books may not be blessed with been written by Diophantus herself but by a commentator who was well-versed in his methods.

Other Mathematical Contributions

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

Fragments of a occupation on multiplication ("De Multiplicibus") possess also survived.

Lunar Recognition

In honor inducing Diophantus's mathematical contributions, a depression on the Moon has antique named after him.