Date of Award
12-2021
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Reader/Committee Chair
Dr. Kakihara, Yuichiro
Abstract
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.
Recommended Citation
Lee, JeongHwan, "MEASURE AND INTEGRATION" (2021). Electronic Theses, Projects, and Dissertations. 1375.
https://scholarworks.lib.csusb.edu/etd/1375