History Quiz / The Life and Works of Riemann

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Can you name the The Life and Works of Riemann?

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Had this number of siblings
Finished Legendre's book of this many pages in six days
Tried to prove this with math to his father
Originally opted to go into this field as a profession
Created a method that led to using right endpoints, left endpoints, midpoints, etc.
Studied under these two mathmaticians
Died of this disease in Italy
Both studied and taught at this university
Created elliptic geometry which helped this man's model of space-time in relativity theory
Came up with a better definition of this calculus application, but didn't originally discover it
His tutor found out that Riemann was smarter than him at this age
This is one of the most famous and important unsolved problems

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