Measure Theory and Integration

3 credits · Undergraduate

(3 hrs Lecture) Topics in this course include Lebesgue measure and integration, abstract measure theory and integration, Banach spaces and Lp spaces. Principal results such as Littlewood's three principles, Hölder's inequality, the Riesz-Rischer theorem, the Radon-Nykodym theorem and Fubini's theorem are studied. Restrictions: Students may not hold credit for this course and MATH-3602. Requisite Courses: MATH-3101 [prerequisite(s)].