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He
made decisive and formative contributions to geometry, calculus and
number theory. In number theory he did much work in correspondence with
Goldbach. He integrated Leibniz's differential calculus and Newton's
method of fluxions into mathematical analysis. In number theory he
stated the prime number theorem and the law of biquadratic reciprocity...
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In number theory he
stated the prime number theorem and the law of biquadratic reciprocity.
He was the most prolific writer of mathematics of all time. His complete
works contains 886 books and papers.
We owe to him the notations f(x) (1734), e for the base of natural logs
(1727), i for the square root of -1 (1777), for pi, for summation (1755)
etc...
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