# Mathematician:Diophantus of Alexandria

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## Mathematician

Mathematician living in Alexandria, Egypt, about whom very little is known.

Author of a series of books called *Arithmetica*, some of which are now lost, concerning the solution of algebraic equations.

Sometimes referred to as "the father of algebra", but some claim the title should belong to Al-Khwarizmi.

## Nationality

Egyptian, probably a Hellenized Babylonian

## History

- Born: between 200 and 214 CE (location unknown)
- Died: between 284 and 298 CE

## Theorems and Definitions

- Diophantus's Identity (also known as Brahmagupta-Fibonacci Identity)

Results named for **Diophantus of Alexandria** can be found here.

Definitions of concepts named for **Diophantus of Alexandria** can be found here.

## Publications

*Arithmetica*(13 books, of which 6 have survived (some say 10))

*On Polygonal Numbers*(only fragments now exist)*Porisms*(may have originally been part of*Arithmetica*)

## Critical View

*I came to believe that in Arithmetic and Logistic, "I was Somebody". And in fact by not a few, among them some true scholars, I was adjudged an Arithmetician beyond the common order. But when I first came upon the work of Diophantos, his method and his reasoning so overwhelmed me that I scarcely knew whether to think of my former self with pity or with laughter.*- -- Wilhelm Xylander
- -- Introduction to his translation of the
*Arithmetica*of Diophantus

## Also known as

Some sources render his name as **Diophantos**.

## Also see

## Sources

- John J. O'Connor and Edmund F. Robertson: "Diophantus of Alexandria": MacTutor History of Mathematics archive

- 1948: Oystein Ore:
*Number Theory and its History* - 1980: David M. Burton:
*Elementary Number Theory*(revised ed.) ... (next): Chapter $2$: Divisibility Theory in the Integers: $2.4$ The Diophantine Equation $a x + b y = c$ - 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): A List of Mathematicians in Chronological Sequence - 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): $84$ - 1992: George F. Simmons:
*Calculus Gems*... (previous) ... (next): Chapter $\text {A}.9$: Hypatia (A.D. $\text {370?}$ – $\text {415}$) - 1992: David Wells:
*Curious and Interesting Puzzles*... (previous) ... (next): The First Pure Number Puzzles - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): A List of Mathematicians in Chronological Sequence - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $84$ - 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next): Entry:**Diophantus of Alexandria**(*c*. ad 260) - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next): Entry:**Diophantus of Alexandria**(*c*. ad 260) - 2008: Ian Stewart:
*Taming the Infinite*... (previous) ... (next): Chapter $3$: Notations and Numbers: Negative numbers - 2008: Ian Stewart:
*Taming the Infinite*... (previous) ... (next): Chapter $7$: Patterns in Numbers: Diophantus - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next): Entry:**Diophantus of Alexandria**(about ad 250)