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Real analysis is an area of mathematics that deals with sets and sequences of real numbers, as well as functions of one or more real variables. As one of the main branches of analysis, it can be seen as a subset of complex analysis, many results of the former being special cases of results in the latter.

As an academic subject, real analysis is typically taken in college after a two- or three-semester course in calculus, and usually after a course in rigorous mathematical proof. As such, it can be seen as a generalization of calculus to higher dimensions and to more general types of functions.

Some major concepts in real analysis include:

Some important results in real analysis include: