Evariste Galois (? Variste Galois,18110/October 25th-1832 May 3rd1,French pronunciation eva? Ist galwa), a French mathematician, is known as the founder of modern group theory together with niels abel. Died young in a duel that almost committed suicide, causing various speculations.

Personal realization

Galois used the idea of group theory to discuss the solvability of equations. The whole idea is now called Galois Theory, which is one of the basic pillars of contemporary algebra and number theory. The result of its direct inference is very rich:

This paper systematically explains why there is no formula solution for the equation with more than five degrees, but there is formula solution for the equation with less than four degrees.

He beautifully proved Gauss's assertion that if you draw with a ruler, you can draw a regular P polygon, and P is a prime number (so you can draw a regular heptagon).

He solved two of the three major drawing problems in ancient times: "You can't divide any angle into three equal parts" and "You can't double the cube".