The Riemann Integral: Sets of Measure Zero. Lecture 1. #riemannintegral #realanalysis

Real Analysis: Calculus
The Riemann Integral:
Sets of Measure Zero: Definition and examples.
Proof of the Theorem: Countable union of sets of measure zero is of measure zero.
Some problems on sets of measure zero are solved.
The book followed is
Richard R Goldberg: Methods of Real Analysis
Link to the playlist on The Riemann Integral:

Links to handwritten notes on the topic: (click the link below and send a request mail, I will share it with you)

1. The Riemann Integral

[VijayaChanthriga-ngbs]

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[akshaykamthe]

It was very well planned lecture thanks

[dr.m.rahamathunisha]

Thanks for your clear explanation sir...

[fiftyshadesofuths]

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Thank you in Advance.
May god provide you a very long year Respected Sir

[raiza.chakufora]

Well explained. Kindly help me understand how to prove that uncountable subset of R is not a sigma borel set

[BhuviKutty-vgjp]

Thank u sir..🎉🎉..Sir Pls Upload videos Complete metrix spaces, Compact metric spaces like all ropics in unit 2 in real analysis 2 sir..😊😊

[ashwinis]

Sir create more video of real analysis of riemann integration

[inmyway]

Thank you so much sir....well explained

[kirankardile]

Thank you sir...please cover whole real analysis 2

[PS_CREATION]

The interval of riemann integration is countable, finite or infinite??

[BhuviKutty-vgjp]

Sir Pls upload the videos for Elementary matrix and Operations and System of Linear Equations, Normal and self adjoint operators ..in linear algebra..My kindly request sir..Pls Upload sir...

[gomathijagadeeswaran]

Sir kindly upload more exercise problems

[dr.r.amutha]

Dear Air
Kindly upload the topics Sir
Book Name:Methods of Real Analysis by Richard Goldberg
1.7.6 - Rolle's Theorem
2. 7.7- The law of the Mean
3.7.8- Fundamental Theorem ofCalculus
4.8.5 - Taylor's Theorem
5.9.1-Pointwise convergence of sequences of functions
6.9.2-Uniform convergence of sequences of functions
7.9.3-Consequences of uniform convergence
8.9.4 - Convergence and uniform convergence of functions