integration theory

Measure theory is the study of measures. It generalizes the intuitive notions of length, area, and volume. The earliest and most important examples are Jordan measure and Lebesgue measure, but other examples are Borel measure, probability measure, complex measure, and Haar measure.

almost everywhere convergence | Cantor set | Fatou's lemma | fractal | integral | integration | Lebesgue's dominated convergence theorem | measurable function | measurable set | measurable space | measure | measure space | monotone convergence theorem | pointwise convergence