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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.
Newton's Universal Law of Gravitation. Newton's Universal Law of Gravitation: 'a simple equation, but devastatingly effective'. Newton's equation first appeared in the PhilosophiÃ¦ Naturalis Principia Mathematica, July 1687. It describes why that apple fell from that tree in that orchard in Lincolnshire.