Course

M466 - Measure Theory

Course No: 
M466
Credit: 
4
Prerequisites: 
301
Approval: 
2014
UG-Elective
Syllabus: 
$\sigma$−algebras of sets, measurable sets and measures, extension of measures, construction of Lebesgue measure, integration, convergence theorems, Radon-Nikodym theorem, product measures, Fubini’s theorem, differentiation of integrals, absolutely continuous functions, $L_p$-spaces, Riesz representation theorem for the space $C[0, 1]$.
Reference Books: 

G. De Barra, “Measure theory and integration”.J. Nevue, “Mathematical foundations of the calculus of probability”, Holden-Day, Inc., 1965.I. K. Rana, “An introduction to measure and integration”, Narosa Publishing House.P. Billingsley, “Probability and measure”, John Wiley & Sons, Inc., 1995. W. Rudin, “Real and complex analysis”, McGraw-Hill Book Co., 1987.K. R. Parthasarathy, “Introduction to probability and measure”, The Macmillan Co. of India, Ltd., 1977.

Contact us

School of Mathematical Sciences

NISERPO- Bhimpur-PadanpurVia- Jatni, District- Khurda, Odisha, India, PIN- 752050

Tel: +91-674-249-4081

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