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analysis

The Columbia Encyclopedia, Sixth Edition | Date: 2008

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 limit are subjected to rigorous examination; differential and integral equations, in which the unknowns are functions rather than numbers, as in algebraic equations; complex variable analysis, in which the variables are of the form z = x + iy, where i is the imaginary unit; vector analysis and tensor analysis; differential geometry ; and many other fields.

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The Columbia Encyclopedia, Sixth Edition. Copyright 2008 Columbia University Press

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