@sun-jester.bsky.socialToday is the day!
200 years since Riemann's birth. I decided to write a short blog post explaining three of his major contributions: Riemannian geometry, Riemann surfaces and, of course, the Riemann hypothesis.
Happy birthday Riemann
@sun-jester.bsky.socialThis thursday it'll be 200 years after Riemann's birth.
The Riemann integral is a way to define what the definite integral of a function is. The area under a curve can be approximated by many small vertical rectangles!
@sun-jester.bsky.socialThis thursday it'll be 200 years after Riemann's birth.
Riemannian geometry generalised the notions of curvature and distance that Gauss had developed for smooth surfaces to manifolds of arbitrary dimension. This is also the first mention of >4 dimensions*
@sun-jester.bsky.socialThis thursday it'll be 200 years after Riemann's birth.
Riemann surfaces are 1-dimensional connected complex manifolds, i.e. 2-dim connected real manifolds with holomorphic transition maps. He introduced these to study multivalued functions over C, such as sqrt
