Euler made large bounds in modern analytic geometry and trigonometry. He made decisive and formative contributions to GeoMetry?, CalcuLus? and NumberTheory?. In number theory he did much work in correspondence with Goldbach. He integrated Leibniz's DifferentialCalculus? and IsaacNewton?'s method of fluxions into mathematical analysis. In number theory he stated the PrimeNumberTheorem? and the LawOfBiquadraticReciprocity?.
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