Measure Theory

Description

Lebesgue measure on the real line - Measurable functions - Lebesgue integral - Monotone and dominated convergence theorems - Comparison of integrals of Riemann and Lebesgue - The fundamental theorem of Calculus for Lebesgue integral - Abstract measure theory - Signed and complex measures - Product measures - Fubini’s theorem.

Course Coordinators

Books: 
Πραγματική Ανάλυση του Π. Ξενικάκη.
Aρχές Μαθηματικής Ανάλυσης του W. Rudin
Semester: 
Units: 
3
Credit Units (ECTS): 
5.5
Hours: 
3ώρες
ID: 
0231
Course Type: 
X