Measure Theory · Calculus
The Lebesgue Integral
The Lebesgue integral integrates a far broader class of functions than Riemann. Its real power is its behavior under limits — the convergence theorems.
WHAT STUDENTS WILL LEARN
✓Define the integral via simple functions
✓Integrate non-negative functions as a supremum
✓Extend to general measurable functions
✓Compare Lebesgue and Riemann integrals
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