Great mathematicians write for the future and Georg Friedrich
Bernhard Riemann (1826-66) was one of the greatest mathematicians
of all time. Edited by Heinrich Martin Weber, with assistance from
Richard Dedekind, this edition of his collected works in German
first appeared in 1876. Riemann's interests ranged from pure
mathematics to mathematical physics. He wrote a short paper on
number theory which provided the key to the prime number theorem,
and his zeta hypothesis has given mathematicians the most famous of
today's unsolved problems. Moreover, his famous 1854 lecture 'On
the hypotheses which underlie geometry' set in motion studies which
culminated in Einstein's general theory of relativity. Even
Riemann's over-optimistic use of the Dirichlet principle to prove
the conformal mapping theorem turned out to be immensely fruitful.
The alert reader will further profit from finding here the seeds of
modern distribution theory, algebraic topology and measure theory.
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