Integration and Measure Theory

Catalog description

Credits 3. 3 Lecture Hours. Functions of bounded variation; Riemann-Stieltjes integration; Lebesgue measure and measurable functions; Lebesgue integration and L^p spaces; convergence of Fourier series; other topics may include the Stone-Weierstrass theorem and convergence in measure. Prerequisites: MATH 304 , MATH 309 , MATH 311 , or MATH 323 ; MATH 446 , or MATH 410 and MATH 436 .