id: 06060293
dt: j
an: 2012d.00056
au: Hoare, G.
ti: Bernhard Riemannâ€™s legacy of 1859.
so: Math. Gaz. 93, No. 528, 468-475 (2009).
py: 2009
pu: Cambridge University Press, Cambridge; Mathematical Association (MA),
Leicester
la: EN
cc: A30
ut: history of mathematics
ci:
li:
ab: Summary: This paper notes that Riemann contributed to almost all areas of
mathematics, perceiving it from an analytic point of view, and
influencing subjects as diverse as number theory and geometry. His
lecture in 1854 is said to have revolutionised geometrical thinking
beyond the conceptual Euclidean framework, as the basis for the general
theory of relativity. His paper in 1859 was about the number of primes
less than a given magnitude, now known as the prime number theorem. He
also formulated the Riemann hypothesis about the zeroes of a function,
and some see this as the central problem of pure mathematics.
rv: