The Queen of Mathematics
Carl Friedrich Gauss one of the greatest mathematicians, is said to have claimed: "Mathematics is the queen of the sciences and number theory is the queen of mathematics." The properties of primes play a crucial part in number theory. An intriguing question is how they are distributed among the other integers. The 19th century saw progress in answering this question with the proof of the Prime Number Theorem although it also saw Bernhard Riemann posing what many think to be the greatest unsolved problem in mathematics - the Rieman Hypothesis.
This is a part of the lecture series, Shaping Modern Mathematics. The other lectures in the series are as follows:
Ghosts of Departed Quantities: Calculus and its Limits
Polynomials and their Roots
From One to Many Geometries
Are Averages Typical?
Modelling the World