Diophantus

Diophantus

Of alexandria

Chalvignac Zoé

Summary

1. Who was Diophantus
2. What is he know for ?
3. All the books he wrote
4. His other works
5. An introduction to Diophantine Equations

Who was diophantus ?

- He died somewhere around 248 AD

- He was a greek mathematician from Alexandria, Egypt.

- He is considered the father of Algebra, polynomials and integers.

-He was born sometime between 201 or 215 AD.

What is he know for ?

• He created a series of books called Arithmetica.

-> algebraic equations and number theory

• Only 6 survive to this day.
• 1st to recognize fractions as numbers.
• Large influence in history

All the books he wrote :

• His most famous book is the Aritmetica
• He also wrote the Porisms, this book is lost
• It is said that he also wrote things on polygonal numbers

His other works

• His research lead to many advances in number theory

• He created Diophantine approximation wich has to do with the approximation of real and rational numbers.

• He gave names of the power up to n6

• He also gave his name at Diophantine equations.

AN introduction to diophantine equations

• 2 or more unknow with only positive integer solution
• He considered two types of problems : linear and exponential equations
• The simplest linear equation is : ax + by = c , where a, b and c are integers
• An example of diophantine exponential equation is an + bm = ck

Thank you for your attention