
06060293
j
2012d.00056
Hoare, G.
Bernhard Riemann's legacy of 1859.
Math. Gaz. 93, No. 528, 468475 (2009).
2009
Cambridge University Press, Cambridge; Mathematical Association (MA), Leicester
EN
A30
history of mathematics
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.