In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

These are my latex'd lecture notes for different courses from the mathematics bachelor at EPFL. They most certainly are full of typos and errors, the only reason this repo is public is so that I can ...

The following lecture notes are taken during my year in Part III of the MASt Pure Mathematics course in the University of Cambridge. You can download them via the ...

Bernhard Riemann was a man with a hypothesis. He was confident that it was true, probably. But he didn’t prove it. And attempts over the last century and a half by others to prove it have failed. A ...

A talk on the history of Euclidean and non-Euclidean geometry which ends with a discussion of the shape of the universe. An old BBC video on the history of non-Euclidean geometry.

ABSTRACT: We study iterative processes of stochastic approximation for finding fixed points of weakly contractive and nonexpansive operators in Hilbert spaces under the condition that operators are ...