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calculus

(Encyclopedia)CE5 The derivative f″(x) of the function f(x) at the point P represents the slope of the tangent line at that point. CE5 The area under the curve y=f(x) may be found by calculating the sum of ...

calculus of variations

(Encyclopedia)calculus of variations, branch of mathematics concerned with finding maximum or minimum conditions for a relationship between two or more variables that depends not only on the variables themselves, a...

Cauchy, Augustin Louis, Baron

(Encyclopedia)Cauchy, Augustin Louis, Baron ōgüstăNˈ lwē bärôNˈ kōshēˈ [key], 1789–1857, French mathematician. He was professor simultaneously (1816–30) at the École polytechnique, the Sorbonne, and...

Borel, Félix Édouard Émile

(Encyclopedia)Borel, Félix Édouard Émile fālēksˈ ādwärˈ āmēlˈ bôrĕlˈ [key], 1871–1956, French mathematician. He is noted for his work in infinitesimal calculus and the calculus of probabilities. He...

Taylor, Brook

(Encyclopedia)Taylor, Brook, 1685–1731, English mathematician. He originated Taylor's theorem, a formula important in differential calculus, which relates a function to its derivatives by means of a power series....

analysis

(Encyclopedia)analysis, branch of mathematics that utilizes the concepts and methods of the calculus. It includes not only basic calculus, but also advanced calculus, in which such underlying concepts as that of a ...

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