Date of Award
Master of Arts in Mathematics
First Reader/Committee Chair
Dr. Kakihara, Yuichiro
Measure and Integral are important when dealing with abstract spaces such as function spaces and probability spaces. This thesis will cover Lebesgue Measure and Lebesgue integral. The Lebesgue integral is a generalized theory of Riemann integral learned in mathematics. The Riemann integral is centered on the domain of the function, but the Lebesgue integral is different in that it is centered on the range of the function, and uses the basic concept of analysis. Measure and integral have widely applied not only to mathematics but also to other fields.
Lee, JeongHwan, "MEASURE AND INTEGRATION" (2021). Electronic Theses, Projects, and Dissertations. 1375.