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Overview of Measure Theory in Mathematics by mars is a document available to read on EtoBox.
A measure is a function that assigns a non-negative real number or infinity to subsets of a set in a way that is countably additive. Measures generalize concepts like length, area, and volume. The Lebesgue measure assigns conventional lengths, areas, and volumes to subsets of Euclidean space. Measure theory was developed in the late 19th/early 20th centuries and allows defining integrals on more general spaces than subsets of Euclidean space. Important measures include the counting measure, Lebesgue measure
- Author
- mars
- Language
- EN