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Unfortunately for Lagrange he did not have the benefit of studying with the leading mathematicians, so he became self-motivated and was self-taught. Then in 1754 he got the opportunity to publish his first mathematical work, which was an analogy between the binomial theorem and the successive derivatives of the product functions. Lagrange sent some of his works to Euler and impressed him greatly. Euler was so overcome that by his work that he appointed Lagrange professor of mathematics at the Royal Artillery School in Turin. Then in 1756 he was elected to the Berlin Academy. This then led Lagrange being a founding member of what would eventually become the Royal Academy of Science in Turin...
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