Please please keep making these! The number of creators who make quality undergrad maths content is VERY VERY small. Your videos have been so helpful for my first year :)

This is a great video, sucks that higher level math doesn't do well on youtube. Thank you

Thank you for the quality content! Im loving these Real Analysis videos.❤

@WrathofMath

Жыл бұрын

Thank you for watching! More real analysis videos to come this summer, I find they take the longest to make!

Taking my first real analysis class and this video really helped with understanding covers! Thank you so much.

@WrathofMath

4 ай бұрын

Glad it helped - best of luck!

It is really helpful! Thank you!

You really explain very well. Thanks a lot.

@WrathofMath

Жыл бұрын

Thank you!

so clear and helpful!!

@WrathofMath

8 ай бұрын

Glad it was helpful!

Amazing video

Thank you so much , you make everything easy.

@WrathofMath

2 ай бұрын

Glad to help, thanks for watching!

Thank you so much,Sir!

@WrathofMath

Жыл бұрын

Glad to help!

Thank you for your great video ❤

@WrathofMath

Жыл бұрын

My pleasure, thanks for watching!

So helpful thank you!!

@WrathofMath

9 ай бұрын

Glad to help - thanks for watching!

can you also go over the Heine-Borel Theorem? love how you explain things

@WrathofMath

Жыл бұрын

I certainly will! Which equivalence are you looking for, the open cover definition of compact sets and closed/boundedness?

@ashleyjuarez9563

Жыл бұрын

yeah and also, K is closed/bounded and every open cover for K has a finite subcover

@thomasjefferson6225

Жыл бұрын

​​@@WrathofMath please make it before my exam in may plz, open covering!!!!!

I really appreciate your videos. This real analysis series with the book I'm reading by Jay Cummings is of a great match!please up load more!!!!

@WrathofMath

Жыл бұрын

So glad they've been helpful - thanks for watching! My playlist is mostly based on Jay's book and the Stephen Abbott text - at least so far, so it's definitely a good match! I intend on making many more this summer. Also, Jay Cummings appeared in my TI-108 documentary, if you're curious and have an hour+ to spare: kzread.info/dash/bejne/qqah09GEk8vZoNI.html&pp=ygUFdGkxMDg%3D

Do you have something on heine boral theorem ?

Thank you! You saved my life

@WrathofMath

11 ай бұрын

It is my duty! Thanks for watching!

THANKS THIS HELPED ME

@WrathofMath

3 ай бұрын

Glad to hear it, thanks for watching!

Thanku for this genius explanation

@WrathofMath

10 ай бұрын

I do my best, thanks for watching!

Really helpful ❤️

@WrathofMath

7 ай бұрын

Glad it was helpful!

Wrath of Math hits the nitty-gritty. Awesome! 😃

@WrathofMath

Жыл бұрын

Can't wait for 1000 videos from now when my Real Analysis playlist is done!

legend

Brooooooooo.u justttnailedddd ittt

Hello, thank you very much for making the video, it helped me a lot. And please excuse my not good english. And i have a question on the third example that is about open cover of [0,2]. You wrote union between two sets and i think then it would make it (-0.1, 2.4) which is not family of sets, then i think it can't be the cover. But if you write it differently like {"the family of sets", (-0.1, 0.1), (1.8, 2.4)} then i think it can be a cover of [0,2]. (but i am not that sure of it and if i am wrong please correct me, thank you)

@user-nm9vz7by4m

3 ай бұрын

In R

Hey, I have a question At 10:20 You said wasn't (-2,1) compact because every one of its open covers did not have a finite subcover, So what is "every open cover" in that example and how do they not contain finite subcovers?

@WrathofMath

Жыл бұрын

In that example we looked at one open cover which happened to have a finite subcover. We did not establish anything about "all open covers" of (-2,1) which would be necessary to establish compactness. I don't explicitly show you an open cover without a finite subcover because the previous example showed how an an open cover of an open interval could be constructed so that it has no finite subcovers, showing open intervals are not compact.

@matsobanemarksmokhudu2584

11 ай бұрын

@@WrathofMath just explain why it makes that cover not compact because i still dont get why its not compact

@Kantoot161

11 ай бұрын

@@matsobanemarksmokhudu2584 It's not compact because it didnt satisfy the definition. The definition states an "if and only if" and so he used the first example to prove it's not compact

What literature would you recommend as an alternative for this video? [I learn better from reading than watching videos.]

interesting video. not monotonous. I understand hurray!!

@WrathofMath

4 ай бұрын

Awesome - thanks for watching!

You say "any index set" but it seems only countable sets are used. What would happen if we specified a, say subset of the reals as the index set. Take the unit interval of R as the index for example. What then? (No this is not any homework problem.)

Painful to listen to without turning the volume down lol

@WrathofMath

8 ай бұрын

I try to make the volume loud and clear so anyone on a phone can hear easily. I notice on my phone sometimes the videos are a little hard to hear even on max volume. But I know I’ve gone overboard a couple of times haha, I hope the video was helpful otherwise.

@coreymonsta7505

8 ай бұрын

@@WrathofMath I already passed analysis qual it’s fine lol

@cyrenux

8 ай бұрын

​@@WrathofMaththat is the case for me as well, there are times where i can barely hear anything despite the volume being on max, thanks for being that considerate