Review on history of equations

1. THERE WERE THREE
4th mobility meeting in Denmark
Greek team presentation

2. ABEL
(5 August 1802 – 6 April 1829)

3. • Niels Henrik Abel was a Norwegian mathematician.
• He is most known for proving the impossibility of solving the
general quintic equation in radicals.A question that was one of
the outstanding open problems of his day, and had been
unresolved for 350 years.
• Ηe was largely unrecognized during his lifetime.
• He made his discoveries while living in poverty and died at the
age of 26.

4. g(x)= ax5 +bx4+cx3+dx2+ex+f ,
a 0

5. GALOIS
(25 October 1811 – 31 May 1832)

6. • Évariste Galois was a French mathematician born in Bourg-la-
Reine.
• He is most known for determining a necessary and sufficient
condition for a polynomial to be solvable by radicals (for
solving the quadratic equation).
• He died at age 20 from wounds suffered in a duel. (there is a
mystery behind his death)

7. NEWTON
(25 December 1642 – 20 March 1726/27)

8. • Sir Isaac Newton PRS was an English mathematician,
astronomer, and physicist.
• Among other things he worked on the properties of the
quadratic equation.
• He died in his sleep.

9. ax2+bx+c=0,
a 0
• P= x1x2 = c/a
• S=x1+x2 = -b/a

10. THE END...ALMOST
To sum up;
Before Abel noone had worked on the quintic equations.
He said that they could not be solved.
Then Galois took this subject even further.
He said that there are solutions but under certain conditions.
Before them Newton with his work on quadratic equations said that we do not
need all the clues to find a solution.

11. Today many scientist based on the work of Galois and
Αbel have made remarkable breakthroughs and we keep
going…
These theories that were found hundreds of years before
have shaped the world of scientific progress.