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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.
Other important contributors were Huygens, Leibniz, Newton, Jacob, Johann, and many more. The father of Calculus in 19th Century is Cauchy, who completed the calculus and made the shape which today we see.