منصة مودل - المدرسة العليا للأساتذة بالقبة

Measure and Integration is a fundamental branch of mathematical analysis that extends the classical concepts of length, area, volume, and integration through the theory of measure. The course introduces measurable spaces, measurable functions, and measures, leading to the construction and study of the Lebesgue integral. It also covers the main convergence theorems and explores applications to real analysis, probability theory, and functional analysis.

Prerequisites: Real Analysis (limits, continuity, sequences, and the Riemann integral), Linear Algebra (vector spaces and linear mappings), and basic Topology (open and closed sets, convergence, and metric spaces).