Lebesgue Measure
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Lebesgue measure is an extension of the classical notions of length and area to more complicated sets.
Lebesgue measure is a graduate-level concept that would be first encountered in an analysis course.
Prerequisites
| Area: | Area is a measure of the amount of material that would be needed to "cover" a surface completely. |
| Integral: | An integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals and derivatives are the fundamental objects of calculus. |
| Measure: | A measure is a function that quantifies the size of a subset of a Euclidean space. Measures are used for integration and are important in differential equations and probability theory. |