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Evariste Galois

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Judy An

on 26 November 2012

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Transcript of Evariste Galois

Evariste Galois Judy An Papers published Today The Duel Cauchy Political Revolutionary Family Info Formulas His life General Info BORN
on October 25, 1811
In Bourg-la-Reine

Nicholas-Gabriel Galois
Directed boarding school
Served as mayor of the town

Adelaide-Marie Demante Galois
Tutored her own children HIGH SCHOOL
Lycee Louis-Le-Grand
Well-known high school in Paris
Harsh living conditions
Earned good grades in his first year (Latin, Greek, classical literature)
By 1827, grades dropped

Mastered advanced books written for university students, professors, and mathematicians.
Fascinated by Math Types of equations
ax+b=0 can be solved by x=-b/a
x=(-b±√(b^2-4ac))/2a can be solved by ax^2+bx+c=0

Galois's interest
Finding formulas that worked for higher degree equations
Quintic formula
Convinced that there was no such formula
Tried to prove this doesn't work April 29, 1832
Released from prison
Relationship with du Motel ended

May 29, 1832
Friend of du Motel challenge him to a duel over her
Galois agreed

May 30, 1832
Galois was shot
Buried in a common grave without a stone to mark the spot Enrico Betti, Leopold Knonecker, Charles Hermite, and others published their comments on Galois's research

Mathematicians developed his theories

Jules Tannery edited Galois's papers
Galois's work significantly contributed to math
Introduced a new area of mathematics
"Foundation of group theory" (Galois theory) Died at age of 20
Published only 5 papers
Was not recognized until many years after he died

political revolutionary
NOT mathematician

Developed theory of algebraic equation(=Galois Theory)
Recognized when mathematicians studied his work May & June Liouville Failures Success Louis-Paul-Emile Richard
Math teacher during final year of high school
Recognized his abilities
Help Galois wrote "Demonstration of a theorem on continued periodic fractions) in 1829

Sent French Academy of Sciences his research on solvability of algebraic equations
Paper given to Cauchy Communicated with Galois
Gave Galois Niels Henrik Abel's research
Proved that there was no quintic formula
Encourage Galois to revise paper for solvability of equations

Galois sent his revision to the academy to secretary
Secretary died
Didn't get chance to review it
Galois's work was never considered, and awarded Abel Grew bitter, resentful, and restless
Joined Republicans
A group of political revolutionaries who wanted to overthrow the king
Convinced his classmates to participate in the rebellion
Expelled from the university
Joined the military
Occupied the royal palace
Tried to revolt against the king

Prison sentence
Attempt to commit suicide

Transferred to a hospital due to an epidemic
Fell in love with Stephanie-Felice du Motel Galois's brother and his friend brought Galois's research papers to Gauss, Jacobi

Firstly recognize Galois's work
Presented the research to the members of the academy

Published 67 pages of Galois's papers
Full transcript