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What exactly is a mathematician?

What do they major in? How many years do they go to school for? Is it considered a PhD or what? Can you give me the basics. #science #mathematics #math #mathematician

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In mathematics, differential refers to infinitesimal differences or to the derivatives of functions. In calculus, the differential represents a change in the linearization of a function.The total differential is its generalization for functions of multiple variables. In traditional approaches to calculus, the differentials are interpreted as infinitesimals. There are several methods of defining infinitesimals rigorously, but it is sufficient to say that an infinitesimal number is smaller in absolute value than any positive real number, just as an infinitely large number is larger than any real number.