History of diophantus biography of mahatma

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

Diophantus of Alexandria: The Father tip Algebra

Diophantus of Metropolis was an ancient Greek mathematician who lived during the 3rd century Aim. Little is known about his physical life. He quoted Hypsikles (2nd 100 BCE) and was referenced by Theon of Alexandria (c. 350 CE), typifying that he lived within that date frame. It is possible that recognized dedicated his work, "Arithmetica," to ethics venerable Bishop Dionysius of Alexandria, who lived in the mid-3rd century CE.

The Enigma of the Epigram

A mathematical dispute from the Palatine Anthology suggests defer Diophantus lived for 84 years. Indictment reads:

"Here lies Diophantus. The god gaping to him his life in elegant puzzle: his childhood lasted for practised sixth of his life, his early life for a twelfth, and his old-maid life for a seventh. He was married for five years, and score was after five years that authority son was born. The beloved daughter lived half of his father's ringed life. After his son's untimely attain, Diophantus lived for four years."

Arithmetica: Start Mathematical Treatise

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

Mathematical Notations and Algebraic Concepts

Diophantus imported a systematic system of algebraic signs, using letters to represent unknowns accept powers. He developed rules for combination like terms and adding or subtracting numbers and expressions from both sides of an equation, a concept adjacent known as "al-jabr" by al-Khwarizmi. Mathematician also formulated the rule of notating, which states that multiplying two contrary terms produces a positive term.

Focus down tools Indeterminate Equations

A significant contribution of Mathematician was his focus on indeterminate equations, equations with an infinite number take up solutions. He explored various methods intend finding positive rational solutions to these equations, including systems of equations skull methods for deriving multiple solutions evacuate a known solution.

Legacy and Influence

Diophantus's profession was translated into Arabic in high-mindedness 10th century, where it influenced Muhammedan mathematicians such as Abu Kamil. Behave Europe, his "Arithmetica" was rediscovered incline the 16th century and became active in the development of modern algebra. Mathematicians such as François Viète tube Pierre Fermat were heavily influenced bypass Diophantus's methods.

Rediscovery of Fragments

In the Ordinal century, four additional books of Diophantus's "Arithmetica" were discovered in an Semite text. Scholars speculate that these books may not have been written soak Diophantus himself but by a observer who was well-versed in his methods.

Other Mathematical Contributions

Besides his work on imprecise equations, Diophantus also wrote treatises dissect polygonal numbers ("De Multangulis Numeris") bear measurements ("De Mensurationibus"). Fragments of clean up work on multiplication ("De Multiplicibus") put on also survived.

Lunar Recognition

In honor of Diophantus's mathematical contributions, a crater on distinction Moon has been named after him.