#book-recommendations | Mathematics | Page 217

flint forge Dec 19, 2020, 10:35 PM

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Yes

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No that’s not true

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No probably not. I’d do pinter

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I think you should see some abstract algebra before topology anyway

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And I think that someone intentionally doing topology before analysis might be procrastinating

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Which is fair I would too

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So instead of smth more tradition like riding

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Rudin

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I suggest Pinter AA

cloud bobcat Dec 19, 2020, 10:49 PM

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i did pinter aa then rudin and found that rly good

obsidian valley Dec 19, 2020, 10:51 PM

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Guess who ordered themselves pinter for christmas B)

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PartyGlasses

gray gazelle Dec 19, 2020, 10:51 PM

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hype

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i migth get a copy of lee

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finally

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no more pdf

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would motivate me to d o the extra stuff too

obsidian valley Dec 19, 2020, 10:51 PM

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i love asking for textbooks for christmas

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i usually ask for like

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sock

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but this year i asked for books and my family members are like

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wow so smart

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and i nod

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veldoraNod

gray gazelle Dec 19, 2020, 10:52 PM

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wow big brain jesse

obsidian valley Dec 19, 2020, 10:52 PM

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himbo

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B)

broken meadow Dec 19, 2020, 10:53 PM

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😎

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smart jesse

obsidian valley Dec 19, 2020, 10:54 PM

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gray gazelle Dec 19, 2020, 11:22 PM

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interesting catThink

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thanks for letting me know

upbeat vine Dec 19, 2020, 11:26 PM

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Recommendations for basic spectral theory?

hearty steppe Dec 19, 2020, 11:53 PM

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What is spectral theory

sage python Dec 20, 2020, 12:59 AM

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@upbeat vine I don't know much spectral theory except for what happened in a functional analysis class

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That said, there's a functional analysis book which seems really really good

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"Functional Analysis, Spectral Theory, and Applications" by Einsiedler and Ward

marble solar Dec 20, 2020, 1:56 AM

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I got my copy of knots & links the other day : D

hollow peak Dec 20, 2020, 1:56 AM

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how good is it to do the classical NT chapters of apostol then move onto ireland and rosen? I'm not sure how solid the treatment of analytic stuff is there

marble solar Dec 20, 2020, 1:56 AM

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The analytic stuff in apostol is good

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I prefer Terry Tao's 254A however, or Nick Anderson's Math 205A from like fall 2019?

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Those are a good set of notes that are easier to read

hollow peak Dec 20, 2020, 1:57 AM

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I was thinking that the algebraic treatment is just generally more useful than going all the way through apostol without it

marble solar Dec 20, 2020, 1:58 AM

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Even the early stuff in apostol

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Is good

hearty steppe Dec 20, 2020, 2:02 AM

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Can you DM me a link to those notes moon

marble solar Dec 20, 2020, 2:02 AM

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Sure

hearty steppe Dec 20, 2020, 2:02 AM

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Oh wait that’s NT

marble solar Dec 20, 2020, 2:02 AM

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Yeah analytic NT

still umbra Dec 20, 2020, 4:26 AM

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What are some good math books to get as a Christmas gift for someone? They are starting a math major next year

gray gazelle Dec 20, 2020, 4:27 AM

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ask them if they're eyeing any textbooks in particular catThink

still umbra Dec 20, 2020, 4:27 AM

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Preferably around the $20 AUD area

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So kinda rules out textbooks

gray gazelle Dec 20, 2020, 4:27 AM

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dover books?

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those are cheap (at least in canada)

still umbra Dec 20, 2020, 4:27 AM

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Pop-sci math stuff

karmic thorn Dec 20, 2020, 4:28 AM

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Yeah, either get Dover or the Indian edition of some mainstream book. opencry

gray gazelle Dec 20, 2020, 4:28 AM

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indian editions...

broken meadow Dec 20, 2020, 4:28 AM

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Cursed.

gray gazelle Dec 20, 2020, 4:29 AM

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have fun having entire chapters removed and shit printing quality

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opencry

karmic thorn Dec 20, 2020, 4:29 AM

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Don't blame me for the missing chapters.

gray gazelle Dec 20, 2020, 4:29 AM

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back in my first year i ordered a copy of my linear algebra textbook

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indian edition, $30

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seemed like a good deal, yeah?

karmic thorn Dec 20, 2020, 4:29 AM

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Darn you paid a lot

gray gazelle Dec 20, 2020, 4:30 AM

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i opened it and some pages fell out, then i noticed the entire chapter on jordan forms was missing (which was also the unit we were on)

karmic thorn Dec 20, 2020, 4:30 AM

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Was it Friedberg?

gray gazelle Dec 20, 2020, 4:30 AM

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then i managed to get a good version of the book

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ya

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let me post my nice version

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hardcover too flonshed

karmic thorn Dec 20, 2020, 4:30 AM

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Yeah, apparently Pearson is messing up with Indian edition.

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Wiley does a good job, the printing usually sucks but at least the content is complete.

gray gazelle Dec 20, 2020, 4:31 AM

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,rotate

hasty eagleBOT Dec 20, 2020, 4:31 AM

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📎 222878770862882816.png

gray gazelle Dec 20, 2020, 4:31 AM

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nice hardcover

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pretty big too

karmic thorn Dec 20, 2020, 4:31 AM

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Damn, nice.

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I bought Tao's Analysis I, hardcover for like $3

gray gazelle Dec 20, 2020, 4:32 AM

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obligatory size comparison with my favorite book opencry

karmic thorn Dec 20, 2020, 4:32 AM

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That's the best buy I've ever made

gray gazelle Dec 20, 2020, 4:32 AM

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wow thats cheap

karmic thorn Dec 20, 2020, 4:32 AM

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Indeed.

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Calc on Manifolds is smaller than I thought

gray gazelle Dec 20, 2020, 4:33 AM

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it's not very big

karmic thorn Dec 20, 2020, 4:33 AM

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I somehow always think Spivak's books must be encyclopaedic in size

gray gazelle Dec 20, 2020, 4:33 AM

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his diffgeo series and calculus book are

karmic thorn Dec 20, 2020, 4:33 AM

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I see.

gray gazelle Dec 20, 2020, 4:33 AM

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but CoM is very CoMpact

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hmmm

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idk yohan, read the heine borel part hmmm

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the best part of this book is the part where he says stokes' theorem is trivial

drifting elm Dec 20, 2020, 4:36 AM

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@fathom monolith "The same concrete approach has led us from cartesian closed categories, which are instrumental to build models of functional programming languages, to equational descriptions of cartesian closed categories. Functional programming languages can be compiled into a language of categorical combinators, whos phrases serve as code executed on a simple abstract machine, called the categorical abstract machine."

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https://play.google.com/store/books/details?id=R47hBwAAQBAJ&gl=us&hl=en-US&source=productsearch&utm_source=HA_Desktop_US&utm_medium=SEM&utm_campaign=PLA&pcampaignid=MKT-FDR-na-us-1000189-Med-pla-bk-Evergreen-Jul1520-PLA-eBooks_Computers

Categorical Combinators, Sequential Algorithms, and Functional Prog...

Categorical Combinators, Sequential Algorithms, and Functional Programming - Ebook written by P.-L. Curien. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Categorical Combinators, Sequential Algorithms, and Functional Programming.

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https://www.amazon.com/Lambda-Calculus-Combinators-Introduction-Roger-Hindley/dp/0521898854/

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https://www.amazon.com/Theory-Computer-Science-Languages-Computation/dp/8120329686

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this one has all the CS math in it

gray gazelle Dec 20, 2020, 4:48 AM

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why would someone buy an ebook when you can get it for free?

drifting elm Dec 20, 2020, 4:52 AM

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http://www-formal.stanford.edu/jmc/recursive.html

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only 34 pages but also this is john mccarthy who invented lisp. this is a famous paper.

still umbra Dec 20, 2020, 5:38 AM

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SICP https://mitpress.mit.edu/sites/default/files/sicp/index.html
Is the go-to book w.r.t. formal programming languages

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It's free

modern silo Dec 20, 2020, 5:52 AM

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What's your take on Strang versus Axler? Basically, the two books feature very different philosophies for linear algebra, which one do you like more?

hasty turret Dec 20, 2020, 5:55 AM

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Axler is better than strang

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You can easily learn applied linear algebra, once you understand the theory

stark creek Dec 20, 2020, 5:56 AM

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Does artin teach la aswell

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looks like it

karmic thorn Dec 20, 2020, 5:58 AM

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I still don't know if I should prefer the matrices-first approach or vector spaces-first approach to learning LA for the first time.

hearty steppe Dec 20, 2020, 6:03 AM

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I wasn’t really a fan of Strang when I was more of a LA newb

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I think Friedburg et al is a much better book, the applied book that is

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But Lang intro to LA is the book I’ve been mostly reading for theory

drifting elm Dec 20, 2020, 6:08 AM

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this is free https://www.maa.org/sites/default/files/pdf/pubs/focus/Gardner_PenroseTilings1-1977.pdf

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34 pages of penrose tilings for claw free

karmic thorn Dec 20, 2020, 6:18 AM

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Yeah, Friedberg looks good.

hearty steppe Dec 20, 2020, 6:29 AM

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Yea there’s a ton of exercises in it

mint cloud Dec 20, 2020, 2:04 PM

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hey i want book reccs pls

obsidian valley Dec 20, 2020, 2:15 PM

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Any specific

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fields

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lol

sudden kindle Dec 20, 2020, 2:22 PM

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I was told neukirch class field theory is good for class field theory

flint forge Dec 20, 2020, 5:29 PM

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karmic thorn I still don't know if I should prefer the matrices-first approach or vector spac...

Do some matrix stuff first, honestly

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Not a ton

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But a little

karmic thorn Dec 20, 2020, 5:33 PM

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Hmmm, should probably resume with Lay's book then.

hasty turret Dec 20, 2020, 5:35 PM

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What about linear equations?

karmic thorn Dec 20, 2020, 5:40 PM

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It does start with linear equations lol

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Then matrices and row reduction is presented as a way of solving those equations.

fathom monolith Dec 20, 2020, 6:26 PM

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my first introduction to LA was through a DiffyQ and LA mixed textbook for a class of similar structure. The LA section starts by defining what a vector space is and then asking students to prove (aka just verify) if certain definitions of a vector space meet the criteria, and then it goes straight to sub spaces and then eigen values and if you dont know matrix operations then thats your problem.

This is by far the worst structure I have ever seen in my life for introducing it, very few students do well in the LA portion. So much so that the course will just wave that half of the course if you do bad.

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I then took a senior level LA class this past semester through axlers book and it was pretty fun actually, and made my past confusion seem trivial.

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Long story short Spaces are a bad starting place imo

gray gazelle Dec 20, 2020, 6:28 PM

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LA and DE at the same time sully

fathom monolith Dec 20, 2020, 6:28 PM

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very common at engineering focused schools

gray gazelle Dec 20, 2020, 6:28 PM

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gray gazelle LA and DE at the same time <:sully:651816820122189834>

what should you do first?

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la

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sully

fathom monolith Dec 20, 2020, 6:29 PM

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LA before calculus gang rise up

gray gazelle Dec 20, 2020, 6:30 PM

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diff eq should go first

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do it like cambridge

cobalt arch Dec 20, 2020, 11:10 PM

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So is aluffi a good intro to cat theory PepoG ?

dapper root Dec 20, 2020, 11:14 PM

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I like it, but others will say no

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it won't be too heavy on it, just use the words and introduce them

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it gets heavier only in the last 2 chapters

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I like the book FWIW

cobalt arch Dec 20, 2020, 11:15 PM

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What does that abbreviation mean?

dapper root Dec 20, 2020, 11:15 PM

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for what it's worth

cobalt arch Dec 20, 2020, 11:15 PM

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Oh

dapper root Dec 20, 2020, 11:16 PM

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but I'm just a santa hat-wearing chair monkey so

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¯_(ツ)_/¯

cobalt arch Dec 20, 2020, 11:16 PM

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True

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🎅

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Well some people think that cat theory can be an introductory course for undergrads. I want to try that out and see where it will lead me..

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Just because it is assumed that something might be the case doesn't mean it is. After all category theory is a different foundational theory.

dapper root Dec 20, 2020, 11:18 PM

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eh

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For some ppl

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for most it's just a language you use and a tool

cobalt arch Dec 20, 2020, 11:19 PM

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Well I find use in that

dapper root Dec 20, 2020, 11:19 PM

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it's hard to get that vibe because internet is full of a lot of cat theory memers

cobalt arch Dec 20, 2020, 11:19 PM

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Haha

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I don't want to sound condescending

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I am just curious to see if I can learn cat theory and it is something I guess I want to undertake.

valid moth Dec 20, 2020, 11:20 PM

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yeah idk about an entire course in cat theory

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normally seems like you pick it up via other things

cobalt arch Dec 20, 2020, 11:21 PM

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Yeah I have heard that a lot that it it is unmotivated to introduce cat theory to undergrads.

ripe granite Dec 20, 2020, 11:22 PM

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cobalt arch Yeah I have heard that a lot that it it is unmotivated to introduce cat theory t...

a course in cat theory will be very dry

obsidian valley Dec 20, 2020, 11:22 PM

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I see more UGCT

ripe granite Dec 20, 2020, 11:22 PM

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obsidian valley I see more UGCT

?

obsidian valley Dec 20, 2020, 11:22 PM

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Forsaken wants to be UGCT, I am judging him

valid moth Dec 20, 2020, 11:22 PM

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hscgt

ripe granite Dec 20, 2020, 11:23 PM

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what's a ugct

cobalt arch Dec 20, 2020, 11:23 PM

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I guess I need it for a conceptual scheme more so than a unifying theory although it tends to the latter as well.

obsidian valley Dec 20, 2020, 11:23 PM

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We talked about it the other day

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undergrad cat theorist

ripe granite Dec 20, 2020, 11:23 PM

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oh

valid moth Dec 20, 2020, 11:23 PM

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ug cat theist

cobalt arch Dec 20, 2020, 11:23 PM

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Undergrad cat theorist

valid moth Dec 20, 2020, 11:23 PM

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theist as short for theorist should be mandatory

cobalt arch Dec 20, 2020, 11:23 PM

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Well I don't know why it is taboo:)

valid moth Dec 20, 2020, 11:23 PM

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"what do you do

im an algebraic number theist"

obsidian valley Dec 20, 2020, 11:23 PM

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model theist hmmm

ripe granite Dec 20, 2020, 11:24 PM

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cobalt arch Well I don't know why it is taboo:)

is it?

valid moth Dec 20, 2020, 11:24 PM

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yes... CT is a nono

obsidian valley Dec 20, 2020, 11:24 PM

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It's not taboo perse

cobalt arch Dec 20, 2020, 11:24 PM

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I mean it seems so

obsidian valley Dec 20, 2020, 11:24 PM

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It's just meme

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There are qualified HSCT on this server

valid moth Dec 20, 2020, 11:24 PM

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pog my uh online college orientation thing starts in half an hour 😳

obsidian valley Dec 20, 2020, 11:24 PM

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All of, one or two

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but

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For MIT? flonshed

valid moth Dec 20, 2020, 11:24 PM

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I'm really wondering if fall 2921 is gonna be in person

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LOL I meant 2021

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yeah jesse

obsidian valley Dec 20, 2020, 11:25 PM

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cool

valid moth Dec 20, 2020, 11:25 PM

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If not idk

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Gap year maybe

obsidian valley Dec 20, 2020, 11:25 PM

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grats on acceptance B)

valid moth Dec 20, 2020, 11:25 PM

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Thanks

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I'm really thinking about gap year

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Again, I have a friend who graduated last year, and is delaying till 2022

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pmao

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lmao*

obsidian valley Dec 20, 2020, 11:26 PM

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oh wait did you actly get into MIT

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I'm just memeing

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Why not Princeton sully

valid moth Dec 20, 2020, 11:26 PM

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yeah I did

obsidian valley Dec 20, 2020, 11:26 PM

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oh sick

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Ok unironic congrats then KEK

valid moth Dec 20, 2020, 11:26 PM

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Thanks

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thonkzoom

obsidian valley Dec 20, 2020, 11:27 PM

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thats doxx

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i wont post KEK

valid moth Dec 20, 2020, 11:27 PM

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also let's move to chill sully

obsidian valley Dec 20, 2020, 11:27 PM

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sully

sudden kindle Dec 21, 2020, 2:37 AM

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IM a math theorist

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math theologian

valid moth Dec 21, 2020, 2:53 AM

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math theist*

gray gazelle Dec 21, 2020, 3:23 AM

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I'm an abstract nonsenser

drifting elm Dec 21, 2020, 4:59 AM

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https://www.youtube.com/watch?v=39o0TBH3b9o

YouTube

The Math Sorcerer

Terence Tao's Analysis I and Analysis II Book Review

In this video I go over two amazing books written by Terence Tao.The books are Analysis I and Analysis II.

These are the books on amazon
Analysis I: https://amzn.to/2T310oF
Analysis II: https://amzn.to/2SNpnI5
The links above are my affiliate links.

For more book reviews check out my playlist
https://www.youtube.com/playlist?list=PLO1y6V1SXjj...

▶ Play video

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the first book looks like a great calc II book actually

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$45 on ebay

fossil island Dec 21, 2020, 5:02 AM

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$0 as pdf

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The first book seems more pirated than the second

drifting elm Dec 21, 2020, 5:04 AM

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I sometimes buy books

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I like books

fossil island Dec 21, 2020, 5:04 AM

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Yeah I'm mostly joking. I think books are good also in that their presence is looming

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You look at your desk and see the book

drifting elm Dec 21, 2020, 5:05 AM

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oh yeah

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you can be away from the computer

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just you and the math

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face off throw down mono-e-mono

hasty turret Dec 21, 2020, 5:05 AM

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Ok,You have some problems

fossil island Dec 21, 2020, 5:06 AM

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Yeah the first half of his analysis I book seems like a good intro to proofs class tbh

drifting elm Dec 21, 2020, 5:07 AM

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all the stuff on sums but with proofs of why it converges

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that is pretty popular in calc II I think

fossil island Dec 21, 2020, 5:08 AM

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Yeah depends how proofy you like your calc ii

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I'm actually interested in the difference of this stuff now. My uni offers like a 2 course sequence in analysis but they go over like banach spaces, normed spaces, and hilbert spaces, and then does like functional analysis. So how different is analysis ii by tao to that?

drifting elm Dec 21, 2020, 5:17 AM

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watch the video

fossil island Dec 21, 2020, 5:18 AM

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Yeah I should do that lol

warped cedar Dec 21, 2020, 6:01 AM

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anyone have book recommendations for someone going to math grad school?

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Just generally perhaps algebra or topology

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im gonna start applying next year so

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i got time

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i just really want it so im trying to figure my shit out now

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one of my advisors told be I needed to completely master linear algebra so i have been working on getting as strong as possible

winged jewel Dec 21, 2020, 8:44 AM

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What book do u guys currently read now?

summer shuttle Dec 21, 2020, 8:46 AM

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📎 20201221_214619.jpg

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I flunked highschool maths pretty bad so catching up

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Honestly I probably wouldn't recommend this book though, its really dry 😩

winged jewel Dec 21, 2020, 8:59 AM

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Nice

winged jewel Dec 21, 2020, 9:00 AM

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summer shuttle Honestly I probably wouldn't recommend this book though, its really dry 😩

Is it? Ahhh, i rather skip tho

cobalt arch Dec 21, 2020, 9:01 AM

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There is a good book on trig if you want to practice problems a lot Kanoba

summer shuttle Dec 21, 2020, 9:01 AM

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Its good, im learning! I just think the explanations could be better 😄 Quite often I'll find my self referring to khan academy an googling stuff

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Forsaken I'll finish this book an probably buy some books on discrete math 🙂

cobalt arch Dec 21, 2020, 9:02 AM

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Okay just wanted to say:)

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Discrete math by rosen is quite thorough

summer shuttle Dec 21, 2020, 9:03 AM

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No worries, I know theres a tonne of material online but I really get a good sense of a achievement when I get through a thick book heh

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An because I work full time as a developer I dont mind having an excuse to get away from my screens

cobalt arch Dec 21, 2020, 9:05 AM

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And the trigonometry book is called trig or treat

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I know a nice pun

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Haven't gone through it but it is good if you like thick books

summer shuttle Dec 21, 2020, 9:06 AM

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I should do some trig too

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😄

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This one?

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https://www.google.co.nz/books/edition/Trig_Or_Treat/gVFhDQAAQBAJ?hl=en&gbpv=1&dq=trig+or+treat&printsec=frontcover

Google Books

Trig Or Treat

ebon swan Dec 21, 2020, 9:09 AM

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who reads books fucking simps

summer shuttle Dec 21, 2020, 9:09 AM

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Nice, good contribution to the discussion

ebon swan Dec 21, 2020, 9:09 AM

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your welcome just stop reading and do some man shit

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like crossfit

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ive fully read an entire chapter book

summer shuttle Dec 21, 2020, 9:10 AM

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Cool man, well done

winged jewel Dec 21, 2020, 9:11 AM

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summer shuttle An because I work full time as a developer I dont mind having an excuse to get a...

What industry u on?

summer shuttle Dec 21, 2020, 9:11 AM

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I work as a VFX artist in the games industry 🙂

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For one of Activision-Blizzard Subsidiaries

winged jewel Dec 21, 2020, 9:12 AM

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ebon swan like crossfit

Crossfit exercise ur body, while book exercise ur mind

winged jewel Dec 21, 2020, 9:13 AM

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summer shuttle I work as a VFX artist in the games industry 🙂

Ah, ok.

summer shuttle Dec 21, 2020, 9:13 AM

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But I want to expand my skill base much more into programming an I failed highschool math real bad

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😄

ebon swan Dec 21, 2020, 9:13 AM

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book no good for mind

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mind good for me

winged jewel Dec 21, 2020, 9:13 AM

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Ye

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If only nixon read book, he may solve watergate.

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Nvm u won't understand tho

ebon swan Dec 21, 2020, 9:15 AM

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water gate NO REEL

cobalt arch Dec 21, 2020, 9:35 AM

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summer shuttle https://www.google.co.nz/books/edition/Trig_Or_Treat/gVFhDQAAQBAJ?hl=en&gbpv=1&d...

Yeah this one

summer shuttle Dec 21, 2020, 9:35 AM

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I'll add it to the pile 🙂

viral sonnet Dec 21, 2020, 11:14 AM

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any good books for c#?

gray gazelle Dec 21, 2020, 11:25 AM

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C#? You mean the language?

grave egret Dec 21, 2020, 11:26 AM

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gray gazelle C#? You mean the language?

What else can it mean?

gray gazelle Dec 21, 2020, 11:26 AM

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I mean why would ask on a math server

gray gazelle Dec 21, 2020, 11:29 AM

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viral sonnet any good books for c#?

http://progdisc.club/resources

Resources

A curated list of links from the members of the Programming Discussions Discord server covering a wide variety of programming topics.

wintry edge Dec 21, 2020, 3:20 PM

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anyone know of any good introduction books or better yet notes for game theory?

flint forge Dec 21, 2020, 4:01 PM

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I think I used osborne

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It was pretty good

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Lots of examples and pretty rigorous iirc

sudden kindle Dec 21, 2020, 4:53 PM

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There are too many books in this world

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We need more video lecture series

static crest Dec 21, 2020, 4:56 PM

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hmmm

prisma snow Dec 21, 2020, 4:56 PM

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No, if you watched more video lecture series, you would have less time for the many books

sudden kindle Dec 21, 2020, 5:02 PM

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I dont wanna read books

prisma snow Dec 21, 2020, 5:03 PM

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Good luck with life

static crest Dec 21, 2020, 5:04 PM

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lol, I was gonna say good luck in math

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but that sounds more right

sudden kindle Dec 21, 2020, 5:09 PM

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Thanks

drifting elm Dec 21, 2020, 5:54 PM

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john conway invented game theory so maybe read conway

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you don't like conway?

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john conway thinks he invented game theory

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if not him then who

flint forge Dec 21, 2020, 6:10 PM

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sudden kindle There are too many books in this world

This take is woke and everyone dunking on it is a fool

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Lecture series are great

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And often distill information far more efficiently than a textbook can

drifting elm Dec 21, 2020, 6:18 PM

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~~burn the books~~

static crest Dec 21, 2020, 6:27 PM

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lecture series are fine, but there aren't too many books in this world

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lecture series are great even

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it's just not perfect

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neither are books

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if the take was "we need more lecture series" not "we need not more books"

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would've been less dunked

hasty turret Dec 21, 2020, 6:28 PM

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Aren't both the same people?

static crest Dec 21, 2020, 6:30 PM

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that's certainly a take

flint forge Dec 21, 2020, 6:30 PM

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I hope that quarantine leads to a big explosion of online learning materials

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From profs who don’t take down their lectures on YouTube and lots of recorded online conferences

sudden kindle Dec 21, 2020, 6:33 PM

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There has been , but still cant find a good lecture series on class field theory pensivebread

karmic thorn Dec 21, 2020, 6:43 PM

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I like lecture series which have accompanying notes and resources. They seem to be more valuable than just going through books or trying to use a random book alongside a lecture series.

ripe granite Dec 21, 2020, 6:53 PM

#

sudden kindle There has been , but still cant find a good lecture series on class field theory...

the only video you need: https://www.youtube.com/watch?v=skD1_FaB1NU

YouTube

Taylor Dupuy

Local Class Field Theory on Crack

If K/QQ_p is a finite extension, local class field theory tells us that the abelianization of its absolute galois group G_K ^{ab} is isomorphic to the profinite completion of the units in K. But wait there's more! One can reconstruct:
*the units of the residue field (completed)
*the units of the integers (completed)

▶ Play video

prisma snow Dec 21, 2020, 7:31 PM

#

Yeah, those poor auditory and kinesthetic learners

sudden kindle Dec 21, 2020, 7:39 PM

#

We have to force ourselves to read books

drifting elm Dec 21, 2020, 7:47 PM

#

I prefer books

#

can't pay attention in lecture when it is really slow or I already know the subject matter

#

can't pause when it has something I need to check in a book

#

chalkboard drawings are prone to bad handwriting or errors

#

this is actually backed up by other books on mysticism

#

like 3 artists

#

one is a sculptor with the hands

#

one is a painter

#

one is a musician

#

but why

#

why are they different

#

why do they have a preference

#

why did each pick a different career

#

why not the same

prisma snow Dec 21, 2020, 7:50 PM

#

Lol, I was joking about the learning styles

drifting elm Dec 21, 2020, 7:51 PM

#

why not 3 painters 0 sculptors 0 musicians

#

you could argue that these different sensory pathways are like a weighted graph that shows bandwidth for each pathway

flint forge Dec 21, 2020, 7:52 PM

#

This is not quite true

drifting elm Dec 21, 2020, 7:52 PM

#

and that the weights are not exactly the same for all individuals

flint forge Dec 21, 2020, 7:52 PM

#

There are people who find visual intuition essential and people who are medically incapable of visualization

drifting elm Dec 21, 2020, 7:53 PM

#

ADD is lack of bandwidth

#

but maybe it is only lack of bandwidth in one channel

prisma snow Dec 21, 2020, 7:53 PM

#

I wouldn't say a lecture series online has the same benefits as actually going to a class. The main benefit imo in lecture series is I can focus on a lecture series for longer, because my concentration needs improving.

flint forge Dec 21, 2020, 7:54 PM

#

It explicitly does

#

For example it probably disproves your theory that there is an optimal method for every subject

#

It is

drifting elm Dec 21, 2020, 7:54 PM

#

I think it is much harder to argue that there are no pedagogical consequences of such a discovery

flint forge Dec 21, 2020, 7:55 PM

#

It’s clearly false as you are stating it lol

#

Hell, there is so much evidence that for example people with ADHD learn better when they are more engaged actively

#

As opposed to straight lecture

prisma snow Dec 21, 2020, 7:55 PM

#

The optimal method for a blind person to learn real analysis is to read baby rudin. Proof me wrong.

drifting elm Dec 21, 2020, 7:56 PM

#

how do they do those fonts?

#

is it all latex in brale??

#

THIS IS A BUTTON

flint forge Dec 21, 2020, 7:56 PM

#

This is a far more conditional statement

📎 image0.png

#

Than the one you tried to make

#

I agree that self reported preferences are probably useless

drifting elm Dec 21, 2020, 7:57 PM

#

PICTURE OF A CIRCLE

flint forge Dec 21, 2020, 7:57 PM

#

But it clearly does not argue that there is an optimal learning strategy

#

How one would even try to prove such a thing seems basically insurmountable to me anyway

#

It seems trivially false however

#

Plenty of people have legitimate neurodivergence

#

You literally said it

#

.

#

.

flint forge Dec 21, 2020, 7:59 PM

#

flint forge For example it probably disproves your theory that there is an optimal method fo...

.

#

There’s a big difference between “self reported neuroscience is universally pretty bad”

static crest Dec 21, 2020, 8:00 PM

#

prisma snow The optimal method for a blind person to learn real analysis is to read baby rud...

it's just the globally optimal way of learning real analysis, catshrug , just translate rudin to braille ez

flint forge Dec 21, 2020, 8:01 PM

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If you translate rudin yourself I’d wager than you’d learn analysis pretty well

#

I don’t see how that’s a response to that

#

I think you are conflating “learning styles” with the fact that different people do indeed learn differently

#

Neurodivergence plays an important role in education

#

And people do in fact need different approaches

#

I agree that the traditional trio is probably useless. The reason I refer to it as self reported is that diagnosed medical conditions do in fact change things

#

And there is evidence to back it up esp in the case of eg adhd/autism

#

The main thing I disagreed with is “there is an optimal way to learn things” because it’s patently false

#

I was addressing a direct quote

#

He seems to think I misinterpreted that direct quote

#

But his interpretation makes no sense to me

#

Conflating that with an optimal method is inherently ableist

#

It’s not

#

One is a fact and the other is normative

#

It literally is

#

Try teaching social cues and subtle mannerisms to someone with autism the way a neurotypical person learns it

#

And you will see that

#

Okay try teaching sculpture to someone incapable of visualization the same way

#

Try teaching matrix algebra to someone with dyscalculia

#

Try teaching giving a lengthy lecture to a room full of people with adhd lol

#

Medically justified learning styles exist and are distinct from what you were arguing against. However the claim that learning can be optimized for the general population is patently false.

#

It’s not just a matter of phrasing

#

“Optimal” versus “optimal for neurotypical people” is an important distinction

#

The former is erasure

#

If that’s the case there was a misunderstanding given that literally interpreted that’s not what your words said lol

#

And I was responding mostly to @sweet lotus for his earlier comment

#

This is what the lengthy response was for

#

It’s not just word choice, it’s wrong.

#

If it was misinterpreted that’s different

#

Yes I agree with this. I understand what you were getting at now.

#

Sorry I misunderstood

marble solar Dec 21, 2020, 8:44 PM

#

In the math education course I took, we went over research that showed that people learned about the same amount using any of the three methods, despite them claiming to be specialized towards one of the three (tactile/kinesthetic, auditory, or visual)

#

Max brings up a fair point that people with differing learning abilities (ADHD, Autism, dyscalculia, dyslexia, etc.) have slightly different study patterns that optimize

#

I have ADHD/Dyscalculia/Dyslexia

#

The way I study usually doesn't work for most people, so I think Max is correct here

#

I've thought about getting on medication/treatment for ADHD, but I'm worried that I'd have to change my study habits and it can greatly impact my ability to get work done while we experiment with the correct dosage

sudden kindle Dec 21, 2020, 8:48 PM

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What are your study habits

marble solar Dec 21, 2020, 8:48 PM

#

I usually intensely focus on a subject for several hours on end

#

So I'll go four or five hour sessions on PDEs or Knot Theory/geometric topology

#

This is detrimental to most students since you get diminishing returns on studying the same subject for over an hour and a half

#

There's some neuroscience research to back this up somewhere

#

See we agree on things Max!

flint forge Dec 21, 2020, 9:19 PM

#

I also think adhd meds for adults can cause really noticeable shifts in personality/mood

#

I had really severe depression that coincidentally ended right when I weaned off

#

And yes we do

hearty steppe Dec 21, 2020, 9:25 PM

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Yea if you take meds don’t take amphetamines or eugeroics daily. Give yourself off days

#

Or it can mess with your sleep/mood/etc

flint forge Dec 21, 2020, 10:09 PM

#

Otoh don’t mess w your prescription unless you talk to a doctor

#

Some meds have nasty side effects if you stop taking them

dapper root Dec 21, 2020, 10:14 PM

#

I just stopped my ADHD meds cold turkery

#

and for about a month I felt like I had to throw up multiple times a day

#

I think I read that's a side effect

#

turns out amphetamines are you know, a drug

#

and you suffer withdrawal pandaThink

flint forge Dec 21, 2020, 11:15 PM

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Damn that’s hard to do

marble solar Dec 21, 2020, 11:16 PM

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Is it even worth it to start if I've never been on?

valid moth Dec 21, 2020, 11:28 PM

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i started like 10 days ago or so maybe

#

tried it a bit and then stopped, now gonna talk to pediatrician and adjust

#

but i did see a glimmer of hope the first day

coral kettle Dec 22, 2020, 10:03 AM

#

anyone have good recomms for lebesgue integs and measure theory?

stray veldt Dec 22, 2020, 10:20 AM

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introduction to measure theory and integration by ambrosio, de prato and mennucci

coral kettle Dec 22, 2020, 10:26 AM

#

thxthx ill check it out

prisma snow Dec 22, 2020, 10:29 AM

#

stray veldt introduction to measure theory and integration by ambrosio, de prato and mennucc...

Have you actually read it? Lol, i don't mean that to sound offensive, but someone before just said it looked interesting so I'm curious if someone has actually read it and recommends it

stray veldt Dec 22, 2020, 10:30 AM

#

yes

#

my intro measure theory class used the book

fallen monolith Dec 22, 2020, 10:30 AM

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all math books look interesting to me nene_cwooki

fallen monolith Dec 22, 2020, 10:30 AM

#

stray veldt my intro measure theory class used the book

is it good for self study?

stray veldt Dec 22, 2020, 10:31 AM

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i think so, i didn't always go to class and just used the book

#

since my teacher presented just the book content basically

prisma snow Dec 22, 2020, 10:32 AM

#

Thanks

fallen monolith Dec 22, 2020, 10:32 AM

#

ohh i see

#

thx @stray veldt

long anchor Dec 22, 2020, 11:26 AM

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how do u guys feel about serge langs undergrad abstract algebra book hmmm

#

im trying to find a good book to self study abstract algebra

gray gazelle Dec 22, 2020, 11:30 AM

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do dummit&foote or artin

#

I liked d&f more for intro

long anchor Dec 22, 2020, 11:31 AM

#

oh yeah artin looked nice thonk

#

oh also what about lee's algebra book ?

#

is that any good ?

gray gazelle Dec 22, 2020, 11:33 AM

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never read it, but I think d&f is really good for self study, a lot of examples, exercises and it's wordy, although some people don't like it

long anchor Dec 22, 2020, 11:36 AM

#

kk ill check it out to see if it like it or nah

prisma snow Dec 22, 2020, 11:41 AM

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I am some people

#

Maybe I'm just slow, but I felt like I was making no progress with df when I read it. And it's not like I wasn't understanding, it just took forever

gray gazelle Dec 22, 2020, 11:58 AM

#

prisma snow Maybe I'm just slow, but I felt like I was making no progress with df when I rea...

What book did you use then

prisma snow Dec 22, 2020, 12:02 PM

#

At first just course notes, then Rotman

#

And some Hungerford (his undergrad book)

flint forge Dec 22, 2020, 3:05 PM

#

@dapper root I like aluffi now

📎 image0.png

valid moth Dec 22, 2020, 3:08 PM

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lmao

#

im kind of sad i missed this online event where riehl was going to speak about her life/works-- it was on the 19th so i completely forgot about it

drifting elm Dec 22, 2020, 4:05 PM

#

coral kettle anyone have good recomms for lebesgue integs and measure theory?

https://www.amazon.com/Introduction-Lebesgue-Integration-Student-Mathematical/dp/0821848623/

#

https://www.amazon.com/Lebesgue-Integration-Euclidean-Bartlett-Mathematics/dp/0763717088/

#

https://mathoverflow.net/questions/11591/suggestions-for-a-good-measure-theory-book

MathOverflow

Suggestions for a good Measure Theory book

I have taken analysis and have looked at different measures, but I am currently looking at realizing a certain problem in a different light and feel that I need a better background in various measu...

coral kettle Dec 22, 2020, 4:14 PM

#

ooh thxthx

drifting elm Dec 22, 2020, 4:18 PM

#

I have a question about learning fourier transform

#

what are the prerequisites

#

is it calc II?

#

or something else

radiant crown Dec 22, 2020, 4:19 PM

#

Fourier stuff can have many flavours

drifting elm Dec 22, 2020, 4:19 PM

#

I paid for these books but they are just a bit over my head

radiant crown Dec 22, 2020, 4:19 PM

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so it's kind of hard to say

drifting elm Dec 22, 2020, 4:19 PM

#

I am studying discrete fourier transform and discrete time fourier transform

#

both

#

I need to know laplacian transform

#

but I guess I need calc II first?

#

or linear alg?

#

one thing that keeps messing me up is how to derive sin from $e^{ix}$

hasty eagleBOT Dec 22, 2020, 4:22 PM

#

galois

📎 453311380116865024.png

drifting elm Dec 22, 2020, 4:22 PM

#

how is that even possible

#

this must be part of complex analysis?

static crest Dec 22, 2020, 4:23 PM

#

you'd probably want calc II and lin alg

drifting elm Dec 22, 2020, 4:23 PM

#

ok

static crest Dec 22, 2020, 4:24 PM

#

like those are the bare basics, without them, you're kinda just learning formulas

drifting elm Dec 22, 2020, 4:24 PM

#

is it just eulers formula?

static crest Dec 22, 2020, 4:24 PM

#

for a deeper understanding, you'd start wanting complex analysis, and maybe even start delving into functional analysis

drifting elm Dec 22, 2020, 4:24 PM

#

ohhhh OhNo_cat

static crest Dec 22, 2020, 4:25 PM

#

drifting elm one thing that keeps messing me up is how to derive sin from $e^{ix}$

as for this, it is just euler's formula

#

say I give you
a = x + y
b = x - y

#

can you find y in terms of a and b?

drifting elm Dec 22, 2020, 4:25 PM

#

sure

static crest Dec 22, 2020, 4:26 PM

#

it's doing that, but x = cos, y = sin, a = e^it, b = e^{-it}

#

don't get lost in the symbols, abstract it out to something you can understand at times

drifting elm Dec 22, 2020, 4:26 PM

#

I guess because I never learned a lot of complex arithmetic

#

only basic angular frequency formula for electrical engineering

#

which is really just a subset of eulers formula

static crest Dec 22, 2020, 4:27 PM

#

I thought complex analysis was like mandatory in electrical

#

it is here

drifting elm Dec 22, 2020, 4:27 PM

#

I did not go for EE I am CS

static crest Dec 22, 2020, 4:27 PM

#

ohh I see

drifting elm Dec 22, 2020, 4:27 PM

#

CS was cheaper

#

but I self study EE for 10 years

#

had some work related stuff for EE

static crest Dec 22, 2020, 4:28 PM

#

ya, you'd want to probably learn complex analysis, at least the basics, I'd say

drifting elm Dec 22, 2020, 4:28 PM

#

my EE library is bigger than my math library or my CS library

#

does tao's books do complex analysis?

static crest Dec 22, 2020, 4:29 PM

#

I don't think so

drifting elm Dec 22, 2020, 4:29 PM

#

right

#

papa rudin then

static crest Dec 22, 2020, 4:29 PM

#

for complex, I'd recommend Ahlfors

#

actually

#

rather than papa rudin

drifting elm Dec 22, 2020, 4:30 PM

#

https://www.amazon.com/Complex-Analysis-Ahlfors/dp/1259064824/

#

this?

static crest Dec 22, 2020, 4:30 PM

#

ya, it's one of the most standard complex analysis textbooks

#

for undergrad

silver herald Dec 22, 2020, 4:31 PM

#

I thought Gamelin was the standard Complex Anal. text

static crest Dec 22, 2020, 4:31 PM

#

idk, around here I've seen Ahlfors used the most, but I did say "one of the" to make sure

#

but even if it isn't the most standard, I can attest to it being a good textbook

drifting elm Dec 22, 2020, 4:32 PM

#

I have this that teaches complex arithmetic https://www.amazon.com/Art-Problem-Solving-Vol-Basics/dp/0977304566/

#

I need to really start from nothing

#

maybe then linear algebra

#

is there a lin alg book for complex numbers?

#

the DSP books say matrices are only used in state variable filters

#

so maybe I don't need lin alg?

#

I have this for filters https://www.amazon.com/Analog-Filter-Design-Van-Valkenburg/dp/0030592461/

#

never read the part on SVF

static crest Dec 22, 2020, 4:36 PM

#

lin alg is just good to know, because it always just pops up randomly

#

it's often assumed to be like a baseline of math understanding

#

so even if not directly necessary

#

it's just a very good area of math to just be familiar with

drifting elm Dec 22, 2020, 4:38 PM

#

but lets say maybe if I was in a hurry to code some fft stuff for a project for work

#

I don't really have time

#

so I would read complex analysis

static crest Dec 22, 2020, 4:38 PM

#

if you just want to code it up, then you don't need much math at all, but to learn where the fft algorithm really comes from, lin alg is kinda necessary

drifting elm Dec 22, 2020, 4:39 PM

#

ok

static crest Dec 22, 2020, 4:39 PM

#

because the dft is often shown via a dft matrix

#

it's not very deep lin alg, mind you

drifting elm Dec 22, 2020, 4:39 PM

#

I have this https://www.amazon.com/First-Course-Abstract-Algebra/dp/0201104059/

static crest Dec 22, 2020, 4:39 PM

#

but just being familiar with it is good

drifting elm Dec 22, 2020, 4:40 PM

#

this book is about group theory, proofs, matrix multiplication

static crest Dec 22, 2020, 4:41 PM

#

I'd say you'd want to learn lin alg separately, from skimming over the contents, that book is about abstract algebra APART from linear algebra

#

it specifically seems to be avoiding talking about vector spaces and modules

#

so I'd say they kinda expect you to know that from elsewhere?

drifting elm Dec 22, 2020, 4:42 PM

#

I have 3blue1brown videos

#

watched them all

#

never worked out the examples myself

#

I understand determinants and change of basis

#

so doing ok?

static crest Dec 22, 2020, 4:43 PM

#

try grabbing a lin alg textbook from somewhere, and work through exercises

#

in each chapter

#

see if you can do them

drifting elm Dec 22, 2020, 4:43 PM

#

before reading the complex analysis?

static crest Dec 22, 2020, 4:43 PM

#

if you can't, then it might be a good idea to review that content in the textbook

#

complex analysis doesn't really require lin alg no

#

lin alg is more like a mathematical maturity thing

drifting elm Dec 22, 2020, 4:44 PM

#

I see

fallen monolith Dec 22, 2020, 4:44 PM

#

the questions in gamelin's CA is pretty hard i feel

drifting elm Dec 22, 2020, 4:44 PM

#

fft is also related to e and logs though right?

#

so I should go back to calc books on logs?

fallen monolith Dec 22, 2020, 4:45 PM

#

and no i havent used LA while working thr the book

static crest Dec 22, 2020, 4:45 PM

#

fft runtime complexity requires logs, and like any complex analysis with trig will force you to work with e^

#

elementary functions you should definitely be very comfortable with

drifting elm Dec 22, 2020, 4:46 PM

#

manipulating functions containing e should all be in the calc books right?

static crest Dec 22, 2020, 4:46 PM

#

usually in pre-calc

drifting elm Dec 22, 2020, 4:46 PM

#

my school skipped the logs when they teach calc 1

#

so lame

static crest Dec 22, 2020, 4:46 PM

#

usually elementary functions are part of pre-calc

drifting elm Dec 22, 2020, 4:46 PM

#

skipped a few chapters 👎

static crest Dec 22, 2020, 4:46 PM

#

and are assumed knowledge for calc 1

drifting elm Dec 22, 2020, 4:47 PM

#

precalc did not teach us anything

#

it was algebra

#

I go to a really garbage school

fallen monolith Dec 22, 2020, 4:48 PM

#

my sch doesnt rly teach math well

#

and everyone around me hates math

static crest Dec 22, 2020, 4:48 PM

#

you might want to look through basic mathematics by lang, to quickly catch up and refresh some things.
then, I'd go for learning calc 1 and 2
then, I'd try lin alg
and after, I'd go for complex analysis or other higher math (like abstract algebra)

#

this is the order I'd suggest for you

drifting elm Dec 22, 2020, 4:48 PM

#

I am repeating calc 1

static crest Dec 22, 2020, 4:48 PM

#

with the first three steps, you'll form a good enough mathematical basis, that you should get a good idea of where to go next

drifting elm Dec 22, 2020, 4:49 PM

#

because precalc was so garbage at my school

fallen monolith Dec 22, 2020, 4:49 PM

#

what do u learn in precalc

drifting elm Dec 22, 2020, 4:49 PM

#

they did not prepare us in precalc

#

I did

#

didn't know my exponent rules or trig identities

#

my calc 1 teacher skipped logs and e

#

I am pissed about that

fallen monolith Dec 22, 2020, 4:50 PM

#

< learn it on ur own?

drifting elm Dec 22, 2020, 4:50 PM

#

exactly

#

I do everyday precalc self tests

#

on my own

#

I am going to pass calc 1 easy next time

#

memorizing all the theorems now

fallen monolith Dec 22, 2020, 4:51 PM

#

drifting elm I am going to pass calc 1 easy next time

:) nice

#

well all the best to u

drifting elm Dec 22, 2020, 4:51 PM

#

I would have gladly studying anything they told me to

#

but they didn't teach me anything

#

yup

fallen monolith Dec 22, 2020, 4:52 PM

#

smh i feel that studying is rly an individual task. a teacher's lesson can be enlightening and speed things up but it still depends on urself to learn the concepts.

drifting elm Dec 22, 2020, 4:53 PM

#

I asked the teacher can you explain step by step what you did on the blackboard? he just skipped 5 steps didn't teach exponent rules writes the answer poof

#

precalc did not teach conjugate

#

I used wolfram alpha

#

and studied the calc book a lot

#

but none of the trig identities and exponent rules were in there

#

complete fail

#

teach did not understand my questions

#

didn't help

#

got tutoring from my school but that didn't help

fallen monolith Dec 22, 2020, 4:55 PM

#

help urself??

drifting elm Dec 22, 2020, 4:55 PM

#

I didn't understand why I was failing

#

I thought I was stupid

#

or it was just hard stuff

#

I thought if I read the calc book more it will get easier

fallen monolith Dec 22, 2020, 4:56 PM

#

i feel sorry for u SadCat

drifting elm Dec 22, 2020, 4:57 PM

#

well I hang out here and I can see where all the math books are

#

I won't be troubled by these things in the future

mossy flume Dec 22, 2020, 6:39 PM

#

If you wanna help yourself

#

IMO the best resource for anything that comes before calculus is Khan Academy

#

so if you have those holes in your knowledge (like exponent/log rules, trig, etc)

#

go there

#

if you know that stuff honestly calc becomes so so so so much easier

#

cause in 99% of places as far as I can tell

#

calc is taught assuming you know all that stuff

dapper root Dec 22, 2020, 9:19 PM

#

flint forge <@146419489083228160> I like aluffi now

YES

gray gazelle Dec 22, 2020, 10:55 PM

#

Can I has a chmkey nuggie pls

gray gazelle Dec 23, 2020, 2:10 PM

#

can someone recommend a good book on differencial equations for someone who is learning it for the first time?

drifting elm Dec 23, 2020, 2:24 PM

#

do you want ODE or PDE?

drifting elm Dec 23, 2020, 2:27 PM

#

mossy flume IMO the best resource for anything that comes before calculus is Khan Academy

I ordered this https://www.amazon.com/gp/product/1615641823/

#

and this https://www.amazon.com/gp/product/1423228154/

fathom monolith Dec 23, 2020, 2:27 PM

#

Im looking to buy myself a math history book for for christmas. I was looking at John Stillwells work, and wondering if anyone had read some of it?

drifting elm Dec 23, 2020, 2:27 PM

#

I already have this https://www.amazon.com/Calculus-integrated-Precalculus-Laura-Taalman/dp/1429240733/

#

@fathom monolith I have 3 books that are entertaining math history books

#

https://www.amazon.com/Music-Primes-Searching-Greatest-Mathematics/dp/0062064010/

#

https://www.amazon.com/Tour-Calculus-David-Berlinski/dp/0679747885/

fathom monolith Dec 23, 2020, 2:29 PM

#

https://www.amazon.com/Real-Numbers-Introduction-Undergraduate-Mathematics-dp-3319015761/dp/3319015761/ref=mt_other?_encoding=UTF8&me=&qid=
I was looking at this book

drifting elm Dec 23, 2020, 2:30 PM

#

https://www.amazon.com/Dr-Eulers-Fabulous-Formula-Mathematical/dp/0691175918/

fathom monolith Dec 23, 2020, 2:30 PM

#

te last one sounds interesting too though

drifting elm Dec 23, 2020, 2:30 PM

#

https://www.amazon.com/Prime-Obsession-Bernhard-Greatest-Mathematics/dp/0452285259/

#

this one is %50 math

#

even number chapters are mathy bits and odd are history about the life of rheiman

gray gazelle Dec 23, 2020, 2:31 PM

#

https://www.amazon.co.uk/Logical-Dilemmas-Life-Work-Godel/dp/1568812566

fathom monolith Dec 23, 2020, 2:31 PM

#

thanks kurt

drifting elm Dec 23, 2020, 2:32 PM

#

Dr eulers fabulous formula talks a lot about the clothes the food the attitudes and the musical instruments they played

fathom monolith Dec 23, 2020, 2:32 PM

#

oh thats not my jive actually

drifting elm Dec 23, 2020, 2:32 PM

#

very graphic

fathom monolith Dec 23, 2020, 2:32 PM

#

im interested in the development of math and maybe some fist fights along the way

drifting elm Dec 23, 2020, 2:33 PM

#

tour of the calculus is about shit posting letters mathematicians send each other

fathom monolith Dec 23, 2020, 2:33 PM

#

im in done

#

thank you

drifting elm Dec 23, 2020, 2:35 PM

#

my axiomatic set theory book and also maybe the rhiemann book talk about how dedekind went crazy and ended up in a mental institution because of the bullying that goes with peer review

hidden herald Dec 23, 2020, 3:09 PM

#

hmm any prerequisites I should ensure I read up before I study classical chevalley groups?

drifting elm Dec 23, 2020, 3:17 PM

#

terry tao's blog redirects here https://en.wikipedia.org/wiki/Group_of_Lie_type

Group of Lie type

In mathematics, specifically in group theory, the phrase group of Lie type usually refers to finite groups that are closely related to the group of rational points of a reductive linear algebraic group with values in a finite field. The phrase group of Lie type does not have a widely accepted precise definition, but the important collection of f...

#

my guess would be complex analysis, group theory, lie algebra

#

but also I know nothing about chevalley till 5 mins ago

ripe granite Dec 24, 2020, 12:23 AM

#

Has anyone read intersection homology by Kirwan?

#

or know of any good references on intersection homology and D-modules

sage python Dec 24, 2020, 12:30 AM

#

Next semester I'm taking a class on intersection homology actually

#

http://www.math.wisc.edu/~maxim/853S21.html

gray gazelle Dec 24, 2020, 12:53 AM

#

RooSweat

empty plaza Dec 24, 2020, 6:39 AM

#

Hi, does anyone know about de Méré problem on division of stakes. I'm reading an English book about history of math, but I am stuck at some parts. I'm not native in English.

hidden herald Dec 24, 2020, 6:40 AM

#

Oh, it seems to be about probabilities and expected values

#

Basically you divide the pot based on the expected value of winnings for each player

#

@empty plaza

empty plaza Dec 24, 2020, 6:42 AM

#

Yeah, but I don't know how to interpret this.

#

📎 unknown.png

#

between the yellow parts.

hidden herald Dec 24, 2020, 6:43 AM

#

Ah, okay let's say it's best of 9 (but we finish at 9). Then first player is winning 5-1. Who wins?

#

Likewise if the game will end in a coin toss, then the pot should be split evenly.

empty plaza Dec 24, 2020, 6:46 AM

#

Can you explain more on the "a certain sum belongs to him whether he wins or loses"?

#

My thought is that whoever wins should take all, but this seems a bit contradic.

hidden herald Dec 24, 2020, 6:48 AM

#

empty plaza My thought is that whoever wins should take all, but this seems a bit contradic.

try reading "a certain sum belongs to him whether he wins or loses [the games after he won 5-1 so far]"

empty plaza Dec 24, 2020, 6:53 AM

#

Somehow I get it, but still not clear haha.

#

That certain sum does not necessarily of ratio 5:1 correct?

hidden herald Dec 24, 2020, 6:58 AM

#

no, the ratio 5:1 is wrong, because in best of 9, even if the first player lost the last 3 games, the first player still won overall.

#

@empty plaza

empty plaza Dec 24, 2020, 7:40 AM

#

Thanks, after a while I think I get it now.

#

That second rule should be placed first, it make the first easier to understand.

#

If the scores are even, stakes should be divided in half.
If situation guarantees a player always get some certain stakes, he would be guaranteed to received it.

Example: 80$

By rule 1 : if (5;5) -> (40$,40$)
if (5;4): two cases
- next game: (5,5) --> (40$,40$)
- next game: (6,5) --> (80$,0$)
  => By rule 2: First player always get at least 40$ (whether he win or loses the next game)

hasty eagleBOT Dec 24, 2020, 7:48 AM

#

phatsp

📎 702564127025135726.png

midnight oracle Dec 24, 2020, 10:10 AM

#

ripe granite or know of any good references on intersection homology and D-modules

I think the original papers by Goresky and MacPherson on IH are pretty accessible, albeit partially antiquated

for D-Modules, I don't really know

inner charm Dec 24, 2020, 3:14 PM

#

Mac Lane's Categories for the Working Mathematician, right?

#

hm, any specific recommendations, or will any intro texts do fine?

molten wave Dec 24, 2020, 3:15 PM

#

not sure... I could never really finish one

prisma snow Dec 24, 2020, 3:15 PM

#

Lol relatable

#

How mathematically mature are you, Flick? If you haven't done a lot of higher level math, there is a free book 'Topology Without Tears' that is really detailed in its explanations (too much so if you already know a bit, but perfect if you don't). Otherwise, Munkres for topology

inner charm Dec 24, 2020, 3:18 PM

#

Topology Without Tears it is, then

prisma snow Dec 24, 2020, 3:18 PM

#

Abstract Algebra, I haven't read it yet, but I've heard good things about Pinter for a first timer.

inner charm Dec 24, 2020, 3:19 PM

#

I have the mathematical maturity of someone who has no idea what mathematical maturity really is

#

But thanks, i'll look at those! :D

prisma snow Dec 24, 2020, 3:20 PM

#

Okay, if you feel like you can't understand either of them, you may need to look at a proofs book to teach you how proofs work

inner charm Dec 24, 2020, 3:25 PM

#

wait, topology without tears is all in sans-serif \😩

static crest Dec 24, 2020, 3:37 PM

#

if you want an abstract algebra textbook for the not so mathematically mature

#

gallian is decent

karmic thorn Dec 24, 2020, 3:41 PM

#

Pinter is even more beginner friendly imo.

static crest Dec 24, 2020, 3:42 PM

#

oh it is?

#

damn

drifting elm Dec 24, 2020, 3:51 PM

#

inner charm wait, topology without tears is all in sans-serif \😩

I have a book recommendation. https://www.amazon.com/Introduction-Analysis-Second-James-Kirkwood/dp/1577662326/

#

woops sorry that was not meant to be a reply

inner charm Dec 24, 2020, 3:53 PM

#

Oh, did you mean that for someone else or me?

drifting elm Dec 24, 2020, 3:56 PM

#

I was just posting it to the chat

#

I accidentally replied to someone

#

not meant for anyone specifically

#

I just wanted to say that as a beginner I really liked how easy this book was

#

I never see anyone recommend it

grave egret Dec 24, 2020, 5:59 PM

#

Can anyone suggest me an introductory topology book?

golden bear Dec 24, 2020, 6:01 PM

#

Thoughts on Tao’s analysis 1 and 2? Do you think is somewhat appropriate to compare it to Rudin?

#

Check #books-old @grave egret

grave egret Dec 24, 2020, 6:24 PM

#

Munkres is real hard for me.

marble solar Dec 24, 2020, 6:32 PM

#

@golden bear Not comparable to Rudin

#

Pugh is a closer match, or even apostol

gray gazelle Dec 24, 2020, 6:33 PM

#

Is Rudin the book for analysis MoonBears

marble solar Dec 24, 2020, 6:34 PM

#

Hrmmm... I'm not a fan

#

I prefer pugh or spivak's calculus depending on your level

gray gazelle Dec 24, 2020, 6:35 PM

#

Having no background in proofs

marble solar Dec 24, 2020, 6:36 PM

#

Spivak's calculus

#

You probably need some linear algebra too

gray gazelle Dec 24, 2020, 6:36 PM

#

I see

#

Thanks !

golden bear Dec 24, 2020, 6:38 PM

#

@gray gazelle Linear algebra done right Textbook by Sheldon Axler

marble solar Dec 24, 2020, 6:38 PM

#

That's a good one, that or hoffman and kunze

#

Maybe schaum's outline to linear

grave egret Dec 24, 2020, 6:38 PM

#

Baby rudin chapters 1 and 2.

#

@gray gazelle I suggest learning proofs and then using rudin.

#

Thats my personal suggestion.

golden bear Dec 24, 2020, 6:39 PM

#

@grave egret No just learn linear algebra that will teach you proofs

grave egret Dec 24, 2020, 6:39 PM

#

Like basis and stuff.

#

📎 Screenshot_20201224-193959_Drive.jpg

#

I don't even know what a basis is I read it and don't really understand it.

marble solar Dec 24, 2020, 6:40 PM

#

I agree with killer whale ; )

#

the definition is right there!

hasty turret Dec 24, 2020, 6:40 PM

#

Seems straightforward

grave egret Dec 24, 2020, 6:41 PM

#

marble solar the definition is right there!

Still, I don't understand it.

#

Okay.

golden bear Dec 24, 2020, 6:41 PM

#

Try harder mate

grave egret Dec 24, 2020, 6:41 PM

#

5 mins. And another 5 mins reading the next part to see if I understand it.

marble solar Dec 24, 2020, 6:41 PM

#

You don't get to claim that you don't know the definition when the definition is right there. If you don't understand it, then just fucking memorize it

golden bear Dec 24, 2020, 6:42 PM

#

if you are trying to understand it in mins you are in one hell of a ride in the math journey

grave egret Dec 24, 2020, 6:42 PM

#

Oh.

warm socket Dec 24, 2020, 6:42 PM

#

it would help if the 93/552 thing wasn't hiding stuff

marble solar Dec 24, 2020, 6:42 PM

#

If you don't understand, memorize definitions, and the statements of theorems

#

It'll help build your understanding

#

That way, even if you're completely lost, you can scrounge something together on the exam

grave egret Dec 24, 2020, 6:43 PM

#

Maybe I'm too used to calculus, linear algebra and basic analysis.

marble solar Dec 24, 2020, 6:43 PM

#

One thing in math is you will inevitably hit a wall where it stops being "easy" to see

#

Where/when you hit this wall depends on the person

#

But if you continue in math, you will hit it

warm socket Dec 24, 2020, 6:44 PM

#

also you are given examples straight away

marble solar Dec 24, 2020, 6:44 PM

#

^_^

upbeat vine Dec 24, 2020, 6:44 PM

#

marble solar But if you continue in math, you will hit it

Upper bound being the millenium problems I guess

grave egret Dec 24, 2020, 6:44 PM

#

warm socket also you are given examples straight away

That's why I spent another 5 minutes seeing those.

hasty turret Dec 24, 2020, 6:45 PM

#

If you can't do this with examples,I don't see how you would deal with algebra

#

Or higher math,in general

grave egret Dec 24, 2020, 6:46 PM

#

The thing is, last time I spent like 20 minutes understanding a theorem till I understood it, I discovered I had picked the wrong book.

hasty turret Dec 24, 2020, 6:46 PM

#

That means you picked the right book

upbeat vine Dec 24, 2020, 6:46 PM

#

But as a broader point, texts in topology do suffer from extreme case of reductionism where definitions are invoked with less-to-none context

grave egret Dec 24, 2020, 6:46 PM

#

I had downloaded real and complex analysis instead of pma.

static crest Dec 24, 2020, 6:47 PM

#

monkers

grave egret Dec 24, 2020, 6:47 PM

#

Yeah.

golden bear Dec 24, 2020, 6:48 PM

#

grave egret I had downloaded real and complex analysis instead of pma.

Dude, sorry to be that guy. Math requries patience. Five mins of each proof? no wonder why you did Rudin chapter 1 and 2 quickly

grave egret Dec 24, 2020, 6:48 PM

#

Okay. I didn't know that it was normal to spend longer on theorems.

upbeat vine Dec 24, 2020, 6:48 PM

#

@grave egret As per my experience, a lot of students skip the introductions or prefaces of math textbooks where ample amount of intuition is provided. Maybe you wanna check that out.

marble solar Dec 24, 2020, 6:49 PM

#

If you're just encountering new ideas

#

about 30 minute-1hr per page

#

Is a good rule of thumb

upbeat vine Dec 24, 2020, 6:49 PM

#

Yeah that is the usual suggestion as well. If less than 30-minutes is all you are spending, then you are definitely doing something wrong.

grave egret Dec 24, 2020, 6:49 PM

#

Okay.

marble solar Dec 24, 2020, 6:50 PM

#

Something I do sometimes is just go through the text and learn all the definitions/theorems

#

Then go try some exercises

#

Then if I can't do the exercises, I go learn the proof of the theorems

grave egret Dec 24, 2020, 6:50 PM

#

Maybe that's why I was unsuccessful when I tried to learn gal theory.

upbeat vine Dec 24, 2020, 6:51 PM

#

upbeat vine Yeah that is the usual suggestion as well. If less than 30-minutes is all you ar...

You might also wanna check out How to think about Analysis by Lara Alcock

golden bear Dec 24, 2020, 6:51 PM

#

@grave egret are you a high school or middle school student?

grave egret Dec 24, 2020, 6:51 PM

#

High school student.

golden bear Dec 24, 2020, 6:52 PM

#

Suggestion, try to relearn the basics book so from 93/552 go back to 1/552

#

I know it sucks but it will be worth it and your math matuirity will also happy too

grave egret Dec 24, 2020, 6:52 PM

#

This is something that confuses me about the books,

#

I must confess that I skipped chapter 1 because it was all very similar to most of what I've learnt in discrete math, set theory, other analysis books etc.

upbeat vine Dec 24, 2020, 6:54 PM

#

Yeah chapter 1 of Munkres just gives you the basic set theory needed for topology.

#

You should be able to understand what topological basis are without going through chapter 1, provided you know basic set theory.

grave egret Dec 24, 2020, 6:55 PM

#

Oh.

#

I'll try dedicating more time.

#

Nevermind bad analogy because the universal set is only 1.

#

So like all element must be in at least one basis

#

And the intersection of 2 of them contains another basis.

upbeat vine Dec 24, 2020, 7:06 PM

#

So once you are given a topology, which would be a collection of all open sets, it would sometimes be tedious to talk about a topology by talking about all of its open sets. So say if I want to check if the topology only has infinite open sets, it would be tedious to check if every open set is infinite. So what you want is something that you can handle a little easily but also gives you the complete information of the topology (compare GPS coordinates of your house versus the house address etc, both of them are sufficient to let you get to your destination, but one is easier to handle). This is what basis are for a topology. They are easier to describe and hence handle, but gives the total info about the open sets of a topology. Aka saying something "topological" about the basis is equivalent to saying something topological about all the open sets.

drifting elm Dec 24, 2020, 7:08 PM

#

grave egret I had downloaded real and complex analysis instead of pma.

what is PMA?

upbeat vine Dec 24, 2020, 7:08 PM

#

Baby rudin; "principles of mathematical analysis"

drifting elm Dec 24, 2020, 7:09 PM

#

oh right

#

more than one code word for that book now

upbeat vine Dec 24, 2020, 7:10 PM

#

i havent heard pma before tho

drifting elm Dec 24, 2020, 7:10 PM

#

baby rudin

golden bear Dec 24, 2020, 7:10 PM

#

i only heard of Rudin

#

I don't use baby rudin

#

I just say rudin

grave egret Dec 24, 2020, 7:11 PM

#

Yes baby rudin.

upbeat vine Dec 24, 2020, 7:11 PM

#

but there are three classical analysis books by rudin

drifting elm Dec 24, 2020, 7:11 PM

#

my axiomatic set theory book talks about how there are different paradigms for set theory that are incompatible

#

I shit my pants

#

never heard of zermelo before

upbeat vine Dec 24, 2020, 7:12 PM

#

dont shit ur pants pls

drifting elm Dec 24, 2020, 7:12 PM

#

imagine reading a book on set theory and not once being told that it is actually based on zermelo set theory

hearty steppe Dec 24, 2020, 7:57 PM

#

Wdym

drifting elm Dec 24, 2020, 8:04 PM

#

https://en.wikipedia.org/wiki/Zermelo–Fraenkel_set_theory

Zermelo%E2%80%93Fraenkel_set_theory

#

like imagine learning the english language but never hearing the word "english" only the word "language"

#

then thinking there is only one language and also not even knowing the name of the language you speak

gray gazelle Dec 24, 2020, 8:06 PM

#

ok?

timber mesa Dec 24, 2020, 8:09 PM

#

drifting elm https://en.wikipedia.org/wiki/Zermelo%E2%80%93Fraenkel_set_theory

most mathematicians assume this (maybe the axiom of choice too) and it's consequences though so don't worry too much about it

quick hornet Dec 24, 2020, 8:12 PM

#

its more like

#

most mathematicians dont care

#

zfc works as a framework so its used

#

if a problem was found in it, it'd be repaired, another letter would be added to zfc, and we'd move on with our lives

#

mathematicians dont really think about foundations much unless thats their specific area of research

hearty steppe Dec 24, 2020, 8:12 PM

#

zfc?

quick hornet Dec 24, 2020, 8:13 PM

#

the zermelo-fraenkel set theoretic axioms together with choice.

#

so its less like not knowing about different versions of english, and more like not realizing that brits and americans spell "colo(u)r" differently

#

although even that isnt really accurate since

#

you actually have to think about spelling in your day-to-day life

#

most mathematicians dont need to think about foundations except perhaps to handwave "yeah oops these are actually classes not sets but w/e"

#

so perhaps it's more like not realizing that you aspirate your "p"s and "t"s

drifting elm Dec 24, 2020, 8:16 PM

#

it was not clear from the book that I don't need to worry

#

so obviously I paniced

quick hornet Dec 24, 2020, 8:17 PM

#

well you need to worry if you care about foundations

#

and a book on formal set theory certainly should touch on that

drifting elm Dec 24, 2020, 8:17 PM

#

I thought that I would need to learn all the different ones

#

it makes me feel better that I can relax and not worry about ancient dead ends of math history

#

actually while we are on the subject I found some stuff on modern classical umbral calculus

#

is this a complete waste of time?

slender dragon Dec 24, 2020, 8:30 PM

#

Do you know some really introductory good book about Module Theory?

gray gazelle Dec 24, 2020, 8:31 PM

#

grave egret Yes baby rudin.

I read your user as necrophilia

warped cedar Dec 24, 2020, 8:32 PM

#

wtfyousayed

gray gazelle Dec 24, 2020, 8:32 PM

#

warped cedar <:wtfyousayed:747905089301118987>

thinkspin

#

sad

#

¯_(ツ)_/¯

static crest Dec 24, 2020, 8:41 PM

#

ya

#

d&f specifically has a little unit on modules

#

but it's a common thing to see

#

in a lot of abstract algebra texts

#

📎 unknown.png

#

here's what's covered in d&f modules

#

if you wanna know

sage python Dec 24, 2020, 8:50 PM

#

Wait that's not D&F's font

timber mesa Dec 24, 2020, 8:50 PM

#

gray gazelle I read your user as necrophilia

same lmao

#

probably a newer edition of D&F? I ordered one recently

static crest Dec 24, 2020, 8:52 PM

#

sage python Wait that's not D&F's font

it's the table of contents that show up in the sidebar of my pdf viewer

timber mesa Dec 24, 2020, 8:52 PM

#

timber mesa probably a newer edition of D&F? I ordered one recently

and this is not a thing apparently, checks out lol

static crest Dec 24, 2020, 8:53 PM

#

d&f font is pretty well known it seems lol

#

everyone instantly realizes when it's not d&f font

sage python Dec 24, 2020, 8:55 PM

#

Well I know D&F lol

static crest Dec 24, 2020, 8:56 PM

#

not just you, it's been a couple of people lately that noticed that the screenshots I was sending was not d&f font

sage python Dec 24, 2020, 8:56 PM

#

Ah

gray gazelle Dec 24, 2020, 8:57 PM

#

Do you even know algebra if you don't know the d&f font?

drifting elm Dec 24, 2020, 9:01 PM

#

secret handshake of math

gray gazelle Dec 24, 2020, 9:24 PM

#

you can tell when a screenshot is out of d&f because it will be 90% text

#

with no space

static crest Dec 24, 2020, 9:34 PM

#

opencry

slender dragon Dec 24, 2020, 10:31 PM

#

I have that book, I just wanted to know if there was more options

#

Thanks

calm crane Dec 25, 2020, 8:12 AM

#

slender dragon I have that book, I just wanted to know if there was more options

jacobson

#

(see pinned message)

worldly basalt Dec 25, 2020, 3:05 PM

#

Any book recommendation for Data structures and algorithms??

stray veldt Dec 25, 2020, 3:06 PM

#

CLRS

worldly basalt Dec 25, 2020, 3:07 PM

#

Could you me a name that I could libgen

stray veldt Dec 25, 2020, 3:08 PM

#

it's this: https://en.wikipedia.org/wiki/Introduction_to_Algorithms

Introduction to Algorithms

Introduction to Algorithms is a book on computer programming by Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. The book has been widely used as the textbook for algorithms courses at many universities and is commonly cited as a reference for algorithms in published papers, with over 10,000 citations documented on ...

worldly basalt Dec 25, 2020, 3:08 PM

#

Thanks

broken meadow Dec 25, 2020, 5:13 PM

#

oh yea that book seems p good so far

#

i need to read more of it

static crest Dec 25, 2020, 5:17 PM

#

CLRS is very good

quartz pawn Dec 25, 2020, 5:23 PM

#

Y'all have thoughts on AOCP , Knuth's books?

gray gazelle Dec 25, 2020, 6:47 PM

#

I need to read Knuth's books

fathom monolith Dec 25, 2020, 9:26 PM

#

That alg book is legit incredible

molten wave Dec 25, 2020, 9:52 PM

#

even I've read CLRS and we don't study in english

hearty steppe Dec 25, 2020, 10:19 PM

#

Isn’t CLRS pretty basic?

#

That’s like for an intro to algo course

abstract helm Dec 25, 2020, 11:29 PM

#

if a guy computes, can we call him a computer

night knot Dec 26, 2020, 2:14 AM

#

Any book recommendation for Data structures and algorithms??
Since CLRS was already stated, I'll throw in Algorithm Design by Kleinberg and Tardos

wooden sparrow Dec 26, 2020, 2:24 AM

#

abstract helm if a guy computes, can we call him a computer

We already used to

gray gazelle Dec 26, 2020, 2:46 AM

#

maybe silberschatz for databases (at least i think it is better than the cow book)

silver herald Dec 26, 2020, 2:58 AM

#

abstract helm if a guy computes, can we call him a computer

We call them a Turing Machine

#

Well okay then, Finite State Automata it is

#

MonsoonThonk

gray gazelle Dec 26, 2020, 3:07 AM

#

metal gear rising hmmm

hasty turret Dec 26, 2020, 3:08 AM

#

Nanomachines son

silver herald Dec 26, 2020, 3:10 AM

#

ArmstrongSmirk

molten wave Dec 26, 2020, 4:01 AM

#

@fast portal hopcroft

hidden herald Dec 26, 2020, 4:06 AM

#

karp

drifting elm Dec 26, 2020, 4:40 AM

#

I started reading this https://www.amazon.com/Introduction-Graph-Theory-Walker/dp/8120321421/

#

I seems to cover a lot for a first book on the subject

#

with an appendix for noobs and another appendix for advanced

#

nice notation guide in the beginning

lusty jacinth Dec 26, 2020, 7:43 AM

#

Is basic high school math (no calculus) the only prerequisite needed to understand intro to linear algebra 5e by Gilbert strang ?

velvet briar Dec 26, 2020, 7:45 AM

#

Yes

lusty jacinth Dec 26, 2020, 7:45 AM

#

Would one need mathematical maturity to truly understand it?

velvet briar Dec 26, 2020, 7:46 AM

#

Nah you're probably pretty okay

#

Keep in mind it's not the only source out there

lusty jacinth Dec 26, 2020, 7:47 AM

#

Yeah, I got it to pair with the mit ocw course...

velvet briar Dec 26, 2020, 7:47 AM

#

Many people take a more "applied" linear algebra course

lusty jacinth Dec 26, 2020, 7:47 AM

#

Oh

velvet briar Dec 26, 2020, 7:47 AM

#

Where Strang may not be useful

lusty jacinth Dec 26, 2020, 7:48 AM

#

Are there any video lectures you’d recommend?

velvet briar Dec 26, 2020, 7:49 AM

#

If you are in an applied course
3b1b's linear algebra series is fantastic

#

Not a set of courses, but an animated attempt to try to make the concepts natural. It pairs well with a book

lusty jacinth Dec 26, 2020, 7:50 AM

#

Oh okay, so since I’d be missing out from some of the application by reading strang what other books or videos would you recommend as supplement

#

I tried khan academy but it seemed like a lot of stuff just wasn’t there

velvet briar Dec 26, 2020, 7:51 AM

#

Nah Khan can do lin alg as well

lusty jacinth Dec 26, 2020, 7:51 AM

#

Huh, okay

#

Well thanks

velvet briar Dec 26, 2020, 7:51 AM

#

I was suggesting the opposite, that strang might be too in depth. If you feel like you can still do it, why not?

lusty jacinth Dec 26, 2020, 7:52 AM

#

oh okay, no I intend to go with the course

velvet briar Dec 26, 2020, 7:52 AM

#

Oh nvm Strang is an applications book haha

#

For some reason I thought it wasn't

#

Yeah that is a good pairing

lusty jacinth Dec 26, 2020, 7:53 AM

#

Nice

#

I’ll check out the linear alg playlist form 3b1b

#

Thanks again

velvet briar Dec 26, 2020, 7:53 AM

#

Np. Feel free to ask if you want anything else

livid ermine Dec 26, 2020, 10:14 AM

#

3blue1brown is based

silver herald Dec 26, 2020, 10:15 AM

#

sully

grave egret Dec 26, 2020, 12:29 PM

#

I remember learning LA using 3b1b it makes it so easy.

warped cedar Dec 26, 2020, 1:25 PM

#

3b1b is great

#

if you are looking for an actual book id recommend lang

#

he has a couple go for the introduction to linear algebra if you are starting

#

i like books thats why id recommend it

mossy flume Dec 26, 2020, 2:33 PM

#

I need to learn some surface level linear algebra over break

#

I'm doing a proof based lin alg course next sem and I know 0 linear algebra

#

Probably gonna grind khan academy and the 3b1b videos for a conceptual overview

marble rock Dec 26, 2020, 3:06 PM

#

what do you guys think of the textbook topology and geometry

#

by glen e bredon

#

i read uptill compactness and hausdorff spaces in simons

#

i wanna learn topology

#

is it good for atleast just the use of the first chapter to learn point-set?

#

it looks harder but is this an upshot that its harder or is that bad

#

it looks dense

#

and like hard hitting def thm style so what do u guys think

flint forge Dec 26, 2020, 4:01 PM

#

If you want to learn point set I recommend Hatcher’s notes or Topology: a categorical approach

#

Maybe both

hearty steppe Dec 26, 2020, 4:05 PM

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I thought you liked Munkres

marble rock Dec 26, 2020, 4:07 PM

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the thing is i learned about like half point set but then i noticed my textbook doesnt have quotient spaces

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im missing out connectdness and thats it

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should i keep going with tmy text and learn quotient spaces from outside

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or

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?

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the motivation is to learn algebraic top

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i am using hatchers notes as another source

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already

flint forge Dec 26, 2020, 4:19 PM

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I never liked minored

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I used to think munkres was the best textbook

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I changed my mind

static crest Dec 26, 2020, 4:20 PM

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what's the best now

flint forge Dec 26, 2020, 4:20 PM

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Topology a categorical approach is very good imo

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But I haven’t met anyone who used it as a first text

static crest Dec 26, 2020, 4:20 PM

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is it good for like a first course in it

flint forge Dec 26, 2020, 4:20 PM

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So it’s hard for me to be too confident

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But the pov is provides is ideal for doing math I care about

static crest Dec 26, 2020, 4:20 PM

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I see, I wanna delve into some topology at some point next year

flint forge Dec 26, 2020, 4:20 PM

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And it’s way less dry

static crest Dec 26, 2020, 4:21 PM

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maybe I'll check it out

flint forge Dec 26, 2020, 4:21 PM

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I think that it is at the very least a great companion to a more traditional approach to topology

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So you can see why certain point set defns are the way they are

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Like I think things like box v product topology make way more sense from the pov of universal mapping properties

unkempt grove Dec 26, 2020, 4:22 PM

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hi hi
im currently reading needham's vca and he does some interesting stuff with cubics. what books do you recommend to go more in depth? (depressed cubics, vietes cosine formula, finding roots by intersection of x^3 and a line, etc)

marble rock Dec 26, 2020, 4:32 PM

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for some1 who wants to do AT

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and have no problems with the T part

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how much topology should u know

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or like up to what concepts

timber mesa Dec 26, 2020, 4:45 PM

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static crest is it good for like a first course in it

it's probably good for a second course or for review (I might use it for review myself soon), it's very short so it skims over important stuff. For a first course I'd use Topology Without Tears or the first few chapters of Munkres.

abstract helm Dec 26, 2020, 4:45 PM

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if a guy computes, can we call him a computer

static crest Dec 26, 2020, 4:49 PM

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timber mesa it's probably good for a second course or for review (I might use it for review ...

I see, thanks!

drifting elm Dec 26, 2020, 5:01 PM

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abstract helm if a guy computes, can we call him a computer

computers were mostly women. true story. look it up.

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the computer we talk about today was at that time referenced as automatic computers

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so the first automatic computer programmers were both women

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https://www.fischer.senate.gov/public/index.cfm/2018/7/grace-hopper-and-ada-lovelace-pioneers-in-tech

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so when you say my computer is acting strange just check what year it is before you say something offensive

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if time travel ever gets invented in the future

abstract helm Dec 26, 2020, 5:13 PM

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drifting elm computers were mostly women. true story. look it up.

deel

hasty turret Dec 26, 2020, 5:14 PM

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idk why anyone would have wanted to be a computer

drifting elm Dec 26, 2020, 5:14 PM

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it was a shit job

hasty turret Dec 26, 2020, 5:14 PM

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That seems like a braindead job,ngl

drifting elm Dec 26, 2020, 5:14 PM

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at that time the wage gap was real

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so it was an actual example of sexism

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also 80 years ago

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funny thing is though

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they eventually became smarter than men

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because they had access to computers

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the men had all the money so it was an interesting case of guy with money doesn't know how to use a computer

warped cedar Dec 26, 2020, 5:57 PM

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thoughts on Taos analysis books?

drifting elm Dec 26, 2020, 6:12 PM

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my opinion so far is that they are well written and presented. well organized. beginner friendly.

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and actually you will be wanting more when you get to the end

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they are extremely on topic

raw herald Dec 26, 2020, 9:40 PM

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Its nice reading, like its one of those books that you don't dread reading

gray gazelle Dec 26, 2020, 9:48 PM

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Hmm

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what about rudin's

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I started Rudin, so far two proofs it's like he pulled things out of his (bleep) with no further explanation.

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Is there pre-req for Rudin's?

golden bear Dec 26, 2020, 10:17 PM

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gray gazelle Is there pre-req for Rudin's?

Math maturity

gray gazelle Dec 26, 2020, 10:21 PM

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that's not useful, I mean is there knowledge required to know before tackling Rudin?

molten wave Dec 26, 2020, 10:24 PM

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it's not really specific knowledge

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it's just experience with mathematical objects in general

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and various proof tactics