Theory of Integration

The theory on closed and bounded intervals: Gauges and integrals.

The theory on closed and bounded intervals: Gauges and integrals; Basic properties of the integral; The fundamental theorems of calculus; The Saks-Henstock Lemma; Measurable functions; Absolute integrability; Convergence theorems; Integrability and mean Convergence; Measure; measurability and multipliers; Mode of Convergences; substitution theorems; Applications; The theory on infinite intervals: General insight into integration on infinite intervals