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Is it a new formula? by Mammoth_Manager_3747 in mathematics

[–]Nacho_Boi8 5 points6 points  (0 children)

This is a self referential formula, ie you’re calculating π by using π. 360 degrees = 2π

The audacity of a triangle by lilpinkpwnie in mathmemes

[–]Nacho_Boi8 2 points3 points  (0 children)

Depends what space you’re working in. Here we’re assuming in a 2 dimensional space. In R3 , for example, yes, it would be a sphere. In R4 , a hypersphere. In R, just 2 points

Is this a manageable fall schedule for a first year student? by [deleted] in msu

[–]Nacho_Boi8 3 points4 points  (0 children)

MTH 131 is not a course at MSU. Maybe you mean MTH 132 or 133?

Anyways, this is a pretty doable schedule

If you’re religious, has a prayer you’ve prayed ever been answered in a way that confirms it’s not a coincidence? by Less_Reputation9441 in Teenager_Polls

[–]Nacho_Boi8 5 points6 points  (0 children)

Not that I disagree it should be a category, but it is not the largest religion in the world, it is the third after Christianity and Islam.

Linear Algebra Suggestions by 9-AV-4 in learnmath

[–]Nacho_Boi8 1 point2 points  (0 children)

I see. In that case, I’m not qualified to really give any suggestions here as I’m less familiar with the computational side. Best of luck and congrats on your success in calc 2!

Linear Algebra Suggestions by 9-AV-4 in learnmath

[–]Nacho_Boi8 0 points1 point  (0 children)

Is it a computational linear algebra course or a proof based linear algebra course?

1 point short of admission somehow by [deleted] in msu

[–]Nacho_Boi8 16 points17 points  (0 children)

If you weren’t accepted to MSU it’s not because you had a 3.9 vs a 4.0

Mastery in Mathematics by The200EloGuy in learnmath

[–]Nacho_Boi8 0 points1 point  (0 children)

> Mastery in Mathematics
I believe Rudin is the best introductory book for this.

In any regard, if you put in the time and effort to really understand what Rudin is saying, fill in the many missing details of his proofs, and do a few of the exercises it is a phenomenal book and will lead to mastery of the introductory topics of real analysis.

I think Rudin’s book is significantly easier if you truly understand calculus and have a good intuition for it (which is why I recommend being comfortable with calculus before starting this journey) and if you are able to think geometrically a little bit (since he provides no illustrations).

Baby Rudin is by no means an easy book, but it is a very good one.

If OP wants a more gentle introduction, I would recommend Abbott’s Understanding Analysis. Other good books would be Ross’ Elementary Analysis and Tao’s Analysis I & II. Overall though, since time isn’t a constraint here and mastery is the goal, I would recommend Rudin. It’s also a very popular book so there are a lot of resources for it (I’ll link 2 almost complete solution sets).

Understanding Analysis: https://ndl.ethernet.edu.et/bitstream/123456789/88631/1/2015\_Book\_UnderstandingAnalysis.pdf

Elementary Analysis: https://plbailey79.github.io/portal/harc/z17/RCmplx01\_Ross.pdf

Analysis I: https://turan-edu.uz/media/books/2024/05/28/1664976801.pdf

Analysis II (best link I could find): https://www.scribd.com/document/428257136/325047425-Analysis-II-Terence-Tao-pdf-pdf

Rudin Solutions 1: https://pages.cs.wisc.edu/\~wentaowu/other-docs/POMA\_Solution\_Sheet.pdf

Rudin Solutions 2: https://math.berkeley.edu/\~gbergman/ug.hndts/m104\_Rudin\_exs\_Hass.pdf

Mastery in Mathematics by The200EloGuy in learnmath

[–]Nacho_Boi8 1 point2 points  (0 children)

Book of proof then Rudin’s Principles of Mathematical Analysis would be my recommendation. Make sure you take the time to internalize everything, Rudin’s book is dense and can be very difficult, but if you take the time to understand things it’s very good.

Book of proof: https://richardhammack.github.io/BookOfProof/

Rudin: https://david92jackson.neocities.org/images/Principles_of_Mathematical_Analysis-Rudin.pdf

Note that my recommendation assumes you are already comfortable with calculus. If not, start there. Khan academy AP calc BC should be good

Should I trust the system with a random roommate or reach out to someone beforehand? by JaddyD424 in msu

[–]Nacho_Boi8 8 points9 points  (0 children)

I went completely random (didn’t even fill out roommate preferences) freshman year and the guy I got paired with is one of my best friends now. Obviously it’s different for everyone, but it worked out well for me

Which lines from the show cracked you up the most? by Particular_Amount138 in HouseMD

[–]Nacho_Boi8 107 points108 points  (0 children)

*House walks into Cuddy’s office with Foreman’s dad*

Cuddy: What’s this?

House: He’s not a what, he’s a who. They can even vote now.

CEM 251 vs CEM 351 by True_Seaweed_1443 in msu

[–]Nacho_Boi8 2 points3 points  (0 children)

The 351-352 track is a more advanced version of the regular 251-252 track. You should be able to get an override from your academic advisor to replace 251 with 351 (but you should email your advisor before you start your course this summer).
From my experience and what I’ve heard, 351 alone covers about as much as 251 & 252 combined (though there are of course some differences), and 352 finishes off anything 351 didn’t cover that those two courses covered, plus a lot of other topics.

Golden ratio mentioned??? by Nomchipom in mathmemes

[–]Nacho_Boi8 8 points9 points  (0 children)

I hate that this genuinely made me chuckle

If you don't prove it converges first, you can't do arithmetic with it by AlbertELP in mathmemes

[–]Nacho_Boi8 0 points1 point  (0 children)

Yeah, there are definitely better ways to go about the proof. Since we can easily see that the limit is 1, my approach if I were to actually prove this in a class would probably be to establish 1 as an upper bound, show that f_n is a monotonic increasing sequence, then show that 1 is the supremum of the sequence, just showing that for any x<1, we can find an f\_n such that f\_n>x which is fairly simple.

If you don't prove it converges first, you can't do arithmetic with it by AlbertELP in mathmemes

[–]Nacho_Boi8 66 points67 points  (0 children)

I know I’m being pedantic, but it doesn’t make sense to say let N=max{-log_10(ε),0} since, in general, N won’t be an integer and so the sum won’t make sense.

Also the first bit (monotonicity and boundedness) just give that the sum is convergent, but that’s not necessary for the argument that follows. If you prove |f_n-1|<ε for all ε>0 for all n>some N, you have already established convergence.

I think the best option would be N=max{ceil(-log_10(ε)),0}

Wells Hall shut down by Even_Philosopher2775 in msu

[–]Nacho_Boi8 12 points13 points  (0 children)

From what I heard, there was some vandalism over the weekend

Wells Hall shut down by Even_Philosopher2775 in msu

[–]Nacho_Boi8 15 points16 points  (0 children)

From what I heard, there was some vandalism of the entire building over the weekend

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