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.
Measure is a graduate-level concept that would be first encountered in an analysis course.
Examples
| Lebesgue Measure: |
Lebesgue measure is an extension of the classical notions of length and area to more complicated sets. |
Prerequisites
| 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. |
Classroom Articles on Analysis (Up to Graduate Level)
