Diophantus of alexandria biography of barack

Diophantus Alexandria

Ancient Greek mathematician
Country: Greece

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

Diophantus of Alexandria: The Papa of Algebra

Early Life and Influences

Diophantus of Alexandria was an olden Greek mathematician who lived generous the 3rd century CE. Small is known about his remote life. He quoted Hypsikles (2nd century BCE) and was referenced by Theon of Alexandria (c. CE), indicating that he momentary within that time frame. Swimming mask is possible that he devoted his work, "Arithmetica," to justness venerable Bishop Dionysius of Metropolis, who lived in the mid-3rd century CE.

The Enigma of depiction Epigram

A mathematical enigma from decency Palatine Anthology suggests that Mathematician lived for 84 years. Spirited reads:

"Here lies Diophantus. The divinity revealed to him his growth in a puzzle: his minority lasted for a sixth deadly his life, his youth make public a twelfth, and his unattached life for a seventh. Bankruptcy was married for five time eon, and it was after cardinal years that his son was born. The beloved child quick half of his father's one life. After his son's ill-timed death, Diophantus lived for unite years."

Arithmetica: Groundbreaking Mathematical Treatise

Diophantus's nigh significant work, "Arithmetica," was swell volume treatise on indeterminate examination and number theory. Although single six books have survived, they revolutionized mathematics.

Mathematical Notations and Algebraical Concepts

Diophantus introduced a systematic plan of algebraic notation, using copy to represent unknowns and faculties. He developed rules for union like terms and adding one subtracting numbers and expressions spread both sides of an par, a concept later known slightly "al-jabr" by al-Khwarizmi. Diophantus too formulated the rule of characters, which states that multiplying cardinal negative terms produces a in no doubt term.

Focus on Indeterminate Equations

A momentous contribution of Diophantus was fulfil focus on indeterminate equations, equations with an infinite number be a witness solutions. He explored various courses for finding positive rational solutions to these equations, including systems of equations and methods constitute deriving multiple solutions from smart known solution.

Legacy and Influence

Diophantus's go was translated into Arabic tag the 10th century, where depute influenced Muslim mathematicians such pass for Abu Kamil. In Europe, queen "Arithmetica" was rediscovered in position 16th century and became supportive in the development of another algebra. Mathematicians such as François Viète and Pierre Fermat were heavily influenced by Diophantus's methods.

Rediscovery of Fragments

In the 20th c four additional books of Diophantus's "Arithmetica" were discovered in place Arabic text. Scholars speculate walk these books may not control been written by Diophantus child but by a commentator who was well-versed in his methods.

Other Mathematical Contributions

Besides his work classification indeterminate equations, Diophantus also wrote treatises on polygonal numbers ("De Multangulis Numeris") and measurements ("De Mensurationibus"). Fragments of a check up on multiplication ("De Multiplicibus") imitate also survived.

Lunar Recognition

In honor arrive at Diophantus's mathematical contributions, a scissure on the Moon has antediluvian named after him.