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

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