Measure and Integration video lectures, Inder K Rana of IIT Bombay

Home »Mathematics »IIT Bombay » Measure and Integration



Measure and Integration

Lecture 1: Mod-01 Lec-01 Introduction ,Extended Real numbers

Embed
Download:   MP4, FLV and 3GP 10944 views

SEE: Guide to Download NPTEL Video Lecture

Lecture Details :

Measure and Integration by Prof. Inder K Rana ,Department of Mathematics, IIT Bombay. For more details on NPTEL visit http://nptel.iitm.ac.in

Course Description :

Contents:
Need to define Lebesgue Integral,Semi-algebra, Algebra, Monotone class, Sigma-algebra, Monotone class theorem. Measure spaces.Extension of measures from algebras to the generated sigma-algebras: Measurable sets; Lebesgue Measure and its properties.

Measurable functions and their properties; Integration and Convergence theorems, Lebesgue integral, Fundamental Theorem of Calculus for Lebesgue Integrals (an outline)


Product measure spaces, Fubini's theorem
Absolute continuity of measures, Radon-Nikodym theorem Introduction
to Lp spaces, Riesz-Fischer theorem; Riesz Representation theorem for L2 spaces.

Other Resources :

Syllabus | Handouts | Citation |

The above video lectures are presented by IITBombay, India, under the program NPTEL, there are more than 130+ NPTEL courses Online available.

Other Mathematics Courses

» check out the complete list of Mathematics Video lectures          

 

Get Your Degree!

Find schools and get information on the program that’s right for you.

Powered by Campus Explorer

Comments

Post your Comments