Measure Theory 20 | Outer measures - Part 1
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- Опубліковано 18 тра 2020
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This is my video series about Measure Theory. I hope that it will help everyone who wants to learn about it. We discuss sigma algebra, measures, and integration. For any questions, please leave a comment or come to the community forum of the Bright Side of Mathematics: tbsom.de/s/community
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This is part 20 of 22 videos.
(This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)
The Bright Side of Mathematics has whole video courses about different topics and you can find them here tbsom.de/s/start
Thanks again for your high quality and easy to follow videos on such a difficult topic!
This channel has been a great find! Is there some way to support your work with one time payments(like to a PayPal business account) or is it only on Steady?
Yes you can! Of course, in Steady you can leave immediately after joining, which results in a one-time-payment :)
I was also working on a PayPal business account for this opportunity: paypal.me/brightmaths
Find your work to be great!... your explanation is excellent,🔥🔥🔥🔥🔥
Thank you so much 😀
i hope its available in english sub
hi thank you for your fantastic videos. it is unclear to me how to relate your definition of an outer measure to the standard definition: outer measure of any set A subset R is the infimum of lengths of all possible covers of A.
Thank you very much man, very good work!
A little note: from the minute 6:30, the symbol of belonging ∈ must be replaced with the inclusion symbol ⊂ since A and Q are sets.
You're welcome! The symbol ∈ is correct in this context. Keep in mind that sets can also be elements :)
@@brightsideofmaths understood! Thanks again.
@@yopenzo The sets A(n), for n natural, are elements of P(X), so the set membership symbol is used correctly. The same is true for A and Q. A and Q are subsets of X, so by definition, they are elements of the power set of X. Please recall the definition of the power set of a set. Also, keep in mind that every object in mathematics is a set, so sets being elements of other sets is the only kind of set membership possible.
i support this channel, kindly send details on how I can give a donation
Thanks! Just visit my site, given in the description of the video and you find everything :)
Please suggest some books for me।
Schilling is a very good book!
@@brightsideofmaths is schilling writer ?? And what is name of this book title..
@@deepaksingh3533 www.cambridge.org/core/books/measures-integrals-and-martingales/7BEE19069C88A1376AEB988487D4131C
@@brightsideofmaths thanks a lot sir..
Can u please provide me your email..
Sir please.... tell me how to explain to man who does not know about outer measure, giving the example of real life.
I mean how does outer measure relate to real life?
Same doubt mera bhi hai..
You can tell the volume of container by looking at it's parameters... Same way i guess.. not sure at all tho lol