Citation : Lee, JeongHwan, "MEASURE AND INTEGRATION" (2021). Electronic Theses, Projects, and Dissertations.
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Measure and Integral are important when dealing with abstract spaces such as function spaces and probability spaces. Measure and integral also have widely applied not only to mathematics but also to other fields.
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 Definition 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.