MATH 9230
THEORY OF FUNCTION OF REAL VARIABLES
University of Nebraska at Omaha · UGRD · Fall 2026
1 section
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A theoretical foundation for the concepts of measure theory and integration on a measure space as developed by Henry Leon Lebesgue (followed by others) starting the first decade of the 20th century including a comparison with Riemann's classical construction of integration theory known from classical calculus. Topics include: Real number system, convergence, continuity, bounded variation, differentiation, Lebesque-Stieltjes integration, abstract measure theory, and the Lp spaces.
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