Branches that rigorously develop limits, continuity, differentiation and integration for functions of real numbers. An entry belongs here when its cited source describes the calculus of functions of one or several real variables, the construction of the real numbers and sequences, or the theory of measure and the Lebesgue integral. It does not belong here when the branch deals with complex variables or with infinite dimensional spaces of functions, which have separate groups in this subcategory. The group is the foundation for the rest of analysis, and it also holds the general survey of the subject.
All Calculus and Real Analysis
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Wikipedia: Mathematical Analysis
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Mathematical analysis is the branch of mathematics that studies functions, spaces, and operators through methods of approximation and convergence.
Calculus (Wikipedia)
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Calculus is the branch of mathematics that studies continuous change, and is the principal precursor of modern mathematical analysis.
Real Analysis (Wikipedia)
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Real analysis is the part of mathematical analysis, especially as taught in undergraduate and graduate courses, that develops calculus rigorously over the real numbers and Euclidean spaces.
Wikipedia: Measure (Mathematics)
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In mathematics, the concept of a measure is a generalization and formalization of geometrical measures (length, area, volume) and other common notions, such as magnitude, mass, and probability of events.
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