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In Mathematics. Newton laid the foundations for differential and integral calculus, several years before its independent discovery by Leibniz. The 'method of fluxions', as he termed it, was based on his crucial insight that the integration of a function is merely the inverse procedure to differentiating it.n Mathematics. Newton laid the foundations for differential and integral calculus, several years before its independent discovery by Leibniz. The 'method of fluxions', as he termed it, was based on his crucial insight that the integration of a function is merely the inverse procedure to differentiating it.
1 Sir Isaac Newton was an English mathematician and mathematician and physicist who lived from 1642-1727. 2  The legend is that Newton discovered Gravity when he saw a falling apple while thinking about the forces of nature.