#book-recommendations

1 messages · Page 81 of 1

trail hemlock
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🥺

tribal crow
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???

trail hemlock
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TEACH MEASURE THEORY PLZ

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i wanna measure stuff 💔 💔

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I WANNA MEASURE STUFFFFFFFFFFFFFFFFFFFFF

tribal crow
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I have not done any measure theory, nor any analysis beyond what you already know

trail hemlock
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WE CAN MEASURE STUFF TOGETHER

tribal crow
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hate to break it to you lol

trail hemlock
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🥹

tribal crow
trail hemlock
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uhhh

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that wasnt phrased correctly

tribal crow
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wait what

trail hemlock
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allow me to clarify: i mean sets

tribal crow
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I was gonna say that

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I need to measure my desk before doing any math on it

trail hemlock
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dude my desk is too small

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im going on a quest to ikea

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soon

tribal crow
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uhh, let's move out of here

trail hemlock
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obby

fresh skiff
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yes. He did

heady ember
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You call upon me?

fresh skiff
# heady ember You call upon me?

Oh hi Grass.
I was telling Blackbeard if he wanna know more about Schroeder then Grass knows about it. I guess you have studied it right?

heady ember
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not very far into that chapter yet though

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Catbread read up till part 2 but stopped

ashen compass
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Finnegan's wake

fresh skiff
ashen compass
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did you know? this James Joyce novel has been adapted into a cartoon entitled "Adventure Time"

foggy quest
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he's famous in the pde field

fresh skiff
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Thank You Grass

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I always lose this link lol

gray gazelle
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Complex analysis?

hexed jolt
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Recs for a first course in real analysis?

willow merlin
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did you checked out tao, abbott, pugh or bartle for real anal

tribal crow
hexed jolt
willow merlin
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abbott then tao I think

graceful moon
gray gazelle
rare apex
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guys

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is a "Dog named Money" Is a good book for finance?

trail hemlock
foggy quest
gray gazelle
junior isle
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Why brazilian

mellow wren
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anybody know what's a good resource on hilbert modular forms?

noble swan
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good book for ap calculus bc ?

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im taking it next year and i want to get ahead during summer

onyx spire
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i want to do some wider reading on maths, particularly stats before starting a-levels, any recommendations?

trail hemlock
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its filled with practice problems

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you can find it online pretty easily, including on archive org

noble swan
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ty so much bro

tough zealot
junior isle
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Ah

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Me too

gray gazelle
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Has anyone read Spivak II (Calculus on Manifolds), if I have experience with linear algebra, topology, mvc, and diffeq can i read it? I know what lim and sup are from a proofs and topology class, but I will be taking an actually rudin level exposition concurrently to when i want to read differential geometry

tribal crow
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I've only got basic analysis knowledge at the level of Spivak's Calculus, and linear algebra at the level of FIS.

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so far, the book has been manageable

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so with your preparation, you should be solid

gray gazelle
tribal crow
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ehh, if you've done topology you should be fine via math maturity haha

abstract copper
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If you've done topology why not go for Lee's smooth manifolds?

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His prereq is just topology

north summit
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Can i get some measure theory recommendations?

loud cradle
north summit
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is that the with applications book?

loud cradle
north summit
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I sense that I'm not going to like it

loud cradle
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what are you criteria, what don't you like about folland

north summit
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the cover looks ugly

loud cradle
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it does

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any other issues?

sage python
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Literally judging a book by its cover

loud cradle
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a friend of mine had the 1st edition which had a much more neutral cover (similar to rudin's PMA)
but also presumably less content
pick your poison

north summit
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how do i share an image?

tribal crow
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oh, you probably can't in this channel

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and then link it here

north summit
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no access

tribal crow
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and then link it back here

north summit
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like that?

tribal crow
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yeah

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that works

abstract copper
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Try Axler's. It's friendly.

north summit
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"Annoying choice of notation and proofs, and shallow presentation of materials
Maybe the author's intention is to make the materials more accessible to students, but the presentation of the materials will leave you unsatisfied. It doesn't convey the deeper part of the theory. Also most proofs don't read smoothly, and the choice of notation is quite annoying. I found that I can't read it. Maybe the author tried too hard to be just different from the existing books, say, Folland.
Some of the exercises are nice though."

sage python
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Bass Real Analysis for Graduate Students is good

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That or Folland probably. Or maybe Big Rudin

north summit
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can you guys give some explanation for the recommendations you are giving?

abstract copper
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Bass compliments nicely with Axlers as well

sage python
north summit
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thanks

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i'll take a look

sage python
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I should update the Royden one since apparently a 5th edition has come out

north summit
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when you write spivak calculus as a requirement

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what do you exactly mean?

sage python
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Like you should know proof-based single variable calculus

north summit
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i know some proof based calculus up until differntiation

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but haven't studied riemman integral

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i also know some metric space topology / completness/conectedness/compactness

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do you mean i should know as knowing the content or maturity( whatever that means)

sage python
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Both, but if you also know that then you don't need Royden. Royden kinda does the metric space stuff as it goes

north summit
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ok

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What about An Introduction to Measure Theory by Terence Tao

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do you know it?

sage python
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I've heard of it, namely that it's similar to Stein-Shakarchi 3

north summit
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Makes sense, he was his doctoral student after all.

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One last question. You seem to try to make a point about whether starting with general measures vs lebesgue, could you expand a little bit on that?

remote sparrow
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yep, there is a 5th edition now

sage python
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Those who stand by that say oh it's more concrete

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But really a lot of these theorems about R^n don't use any of the specifics about R^n, it's just a fact about set systems etc

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And I think it's, first more efficient to present things in general right away instead of doing it for Lebesgue and saying "Oh so these generalize, these don't, these with a hypothesis"

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Just kind of a mess really. Second I think it's good conceptually/cognitively to know that hey, this fact is about a general measure, so I know that its proof won't be referencing topology at all

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Oh this is for Radon measures? Okay so I definitely need to be using the Radon-ness somehow

north summit
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ok. Thank you very much.

willow merlin
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whick books gives solved examples of first order exact diff eqs

remote sparrow
willow merlin
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easiest diffeqbook?

willow merlin
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bro are you michael taylor?

foggy quest
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XD

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nope

willow merlin
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I always see you recommending books by MT

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I just wanted to ask

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I will take a look at it . ty

slender cargo
tribal crow
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it is!

ashen compass
# north summit ok

I like Evans Gariepy as it starts quite generally, however there are no exercises and lots of details are left out, but it goes quite deep

royden analysis section 3 is also good, but it doesn't start "de novo"

ashen compass
gray gazelle
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Dang I got no Pic perms

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Was going to post my amazon order

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W books?

raw light
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any recommendations for undergraduate discrete math self-learning?

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thanks

outer wing
gray gazelle
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Helllooo

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So I was looking at this

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Real and Functional Analysis: 142 (Graduate Texts in Mathematics) https://amzn.in/d/0awWLGeN

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And wondering if it will be useful for me

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Thing is while I do have a FA Book, it assumes I am comfortable with Measure stuff

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Same goes for my Fourier analysis book

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Which kinda puts me in a troubled spot ig

gray gazelle
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Made me buy his book on complex analysis

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That one was p good too

outer wing
outer wing
gray gazelle
outer wing
outer wing
gray gazelle
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Somewhat

outer wing
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Lemme check then

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Alright

gray gazelle
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This has extra stuff

outer wing
gray gazelle
outer wing
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It's the later edition, makes sense

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extra material like? @gray gazelle

gray gazelle
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Fourier series

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Vector potentials

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I'm not sure if it mentions helmholtz theorem

outer wing
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Ah okay

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Thank you :)

pliant wadi
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What's Steven roman's advanced linear algebra all about? Is it worth reading?

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Also, a reco for a challenging introduction into algebraic topology?

It's for a first look but I wanna challenge myself.

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Not a book that pointlessly makes things sound difficult

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But rather covers stuff that requires effort to get through but is worthwhile the effort.

pliant wadi
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This is great

willow merlin
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which book covers integral test of convergence for series

sage python
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Most calc books I'd wager

gray gazelle
gray gazelle
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any source for taylor series?

north summit
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Any book that covers multivariable calculus but pretty quick. I'm more interested in the calculations than the theory in this case.

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Or whatever is useful for a first course of classical differential geometry

north summit
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Will that help for a course

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Based on Do'carmos blue book

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?

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School i'm applying for the course ( is online) told me that calc 3 was the only prerequisite

gray gazelle
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who knows a good book on probability

real furnace
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Has anyone tried rudins functional ?

loud cradle
gray gazelle
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beghiner

loud cradle
loud cradle
gray gazelle
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ok i will get that

real furnace
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Oh nice how was it I did some work in folland and kreyszig and found both had some downsides

real furnace
loud cradle
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i found the exercises (at least the ones i attempted) were not excessively hard if you understood the chapter material

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the chapters were fairly dense and i found it helpful to write out more detailed proofs of most of the theorems

real furnace
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Thanks this is really useful info I appreciate it !

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Do you know if they go very deep into reproducing kernel hilbert spaces by chance ?

loud cradle
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he only touches on hilbert spaces a bit, mainly for examples
i think he assumes you've read at least the first half of his previous book real and complex analysis, which has a full chapter on hilbert spaces

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(for that matter, it's also helpful if you have read his treatment of banach spaces from RACA)

real furnace
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Alright cool thanks !

remote sparrow
trail hemlock
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theres a book for this exact purpose! its called baby rudin

slender cargo
jaunty cedar
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has anyone ever read No Bullshit Guide to Maths & Physics, I was thinking about purchasing it & I wanted your review

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& also need a good book for calculus

gray gazelle
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I am taking calculus 3 (multivariable) soon. I wanted to know the best book for this type of course. I want the book to be more advanced than the course itself. I want the book to give many tough test questions so I do not have any surprises on the final exam.

willow merlin
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Hi guys I want to learn proof writing but im newbie, should I pick one of this books like how to prove it, or should I start with something else (next year I will be starting uni, and I know the basics of calculus ) unsure which book to pick please ping with reply

willow merlin
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which book for university algebra is best

tribal crow
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like groups/rings/modules/fields?

willow merlin
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sure

tribal crow
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hm, I don't have a recommendation yet

willow merlin
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no abstract algebra recs?

tribal crow
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some users here like Pinter too

willow merlin
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I will check them out, thx

jaunty cedar
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what about books for calculus

vague dagger
jaunty cedar
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what about my book

tribal crow
willow merlin
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stewart, thomas, spivak

willow merlin
tribal crow
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pick your poison

gray gazelle
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I am taking calculus 3 for engineers (multivariable) soon. I wanted to know the best book for this type of course. I want the book to be more advanced than the course itself. I want the book to give many tough test questions so I do not have any surprises on the final exam.

trail hemlock
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spivaks calculus on manifold

tribal crow
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embed perms are only given to users with the Active role or higher(!), or who have boosted the server

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if you want to post GIFs, you can use #chill

trail hemlock
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i don’t think bro likes rudin

tribal crow
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many people do not, to be fair

molten mason
molten mason
# willow merlin no abstract algebra recs?

Anything in Dami's pin is good. You can use the search function in this channel and search "Pinter" "Jacobson" "Aluffi" etc to see the past conversations about each individual textbook. It's a weekly topic in here and there's many opinions and viewpoints for each one.

cunning elk
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combinatorics is a gentler intro to proofs imo 🤓

lime vessel
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Abstract algebra is applied combinatorics

dapper root
glossy zealot
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He is taking cal for engineers

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Just get the vector calculus book by Colley

mystic wasp
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went to the library earlier and found out that they had a copy of "calculus with analytic geometry" by simmons, so i immediately borrowed it. i'm planning to start learning calculus because it seems interesting and i'm pretty confident with my precalc stuff, so is this book good?

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only thing that i'm not as confident in is analytic geometry since we didn't discuss it in class but i self-studied it and the book has analytic geometry in it

cunning elk
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i'd imagine it's at least better than st*wart

onyx spire
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maybe not a book but does anyone have any videos or smth that just explains maths notation, like from simple to complex notation

brave pebble
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I am in final year of highschool and I want to learn linear algebra for fun whats a good book to gain good conceptual understanding and basics of linear algebra

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maybe something similar to calculus made easy by S. Thompson

gilded olive
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My uni course followed Linear Algebra by Friedberg, Insel and Spence (FIS). I think it is an easy book to self-study from. Also gilbert strang’s linear algebra lectures on yt is a great resource too

gilded olive
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how long would each chapter in Gallian's book take to read? my goal is to read only part 2 (groups) and i plan to spend somewhere between 20~25 hours per week on it.

tribal crow
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it seems they're absolutely loaded with examples though

gilded olive
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Idk it looks like I could finish a chapter per week but wanna hear from ppl who’ve read the book too so I can make a reasonable plan

hollow shore
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Gallian is very easy

opal fossil
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It's so impossible to know how long anyone will take to read a chapter of any book. I'd say to just set some goals, see how it goes, update based on observations as things play out.

fresh skiff
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What book will be the suitable for reference for Carothers and rudin?

slender cargo
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I feel like if you're already thinking of references though, maybe consider another book? I've never quite understood planning to go through Rudin with the expectation that you won't be able to understand the book

fresh skiff
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Oh yeah! well I thinking reference as a book which contains fairly same amount of topics but with more explanation and problems (but well rudin has many hard timing giving problems)

slender cargo
lusty escarp
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Everyone has different taste for books. Just pick up the book and see how it goes for you. If you feel right then continue otherwise try a different book.

fresh skiff
slender cargo
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haha

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Sorry, I assume people here are generally asking for self-study

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I hear that Pugh's Real Mathematical Analysis is a good companion to Rudin.

fresh skiff
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Btw thank you guys!

zinc crater
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hi all

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I want to learn number theory

tender river
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me too

tender river
zinc crater
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@tender river
Thank you

uncut crater
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Try those out

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Rudin is a pain in the arse

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A better analysis book would be the one by Amann

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Metric spaces are better dealt by Simmons, or Searcóid (more hand holding)

fresh skiff
fresh skiff
uncut crater
tender river
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just only read the algebra parts as they come up in the analysis section then lol

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most of the algebra section is a definition dump

fresh skiff
tender river
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there are mentions of algebra homomorphisms and ideals in the ch2

fresh skiff
tender river
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but you dont use that for any thing

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Only need to look at the definitions and see that this other thing satisfies those definitions

fresh skiff
#

Thank You guys!
I will try to use Amann as supplement. (I have heard good comments on Amann so it will be exciting to work with it)

bold kite
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best calculus books ?

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for university , i finished high school and i’ll study computer engineer so i want to be prepared

molten mason
trail hemlock
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for more proofs or more rigor, there are:

  • Spivak's Calculus
  • Apostol's Calculus: Volume 1
  • MacCluer's Honors Calculus
  • Lang's A first course in Calculus
    for more computations, any book on this list should suffice:
    https://www.amazon.com/shop/themathsorcerer/list/SKD9TCJQOZAI
    especially Klien's Calculus: An intuitive and physical approach since its pretty cheap and filled with practice problems (its thick as hell)
#

please note that these are amazon affiliate links, so The Math Sorcerer will make a small percent of the purchase.

bold kite
#

whats the best to start

trail hemlock
#

whats your background with math?

bold kite
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it’s wide

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im from spain

trail hemlock
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meaning, what are you looking to learn?

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proofs and theory or more computation focused

bold kite
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computer engineering is based on electrical engineering and computer science

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so mathematics that would help me in that

trail hemlock
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if the former, choose a rigorous book. if the latter, chose from the amazon page

trail hemlock
#

its the classic choice for a lot of people

bold kite
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thanks brother

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so in math we have linear algebra , calculus and what more

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is to get the fundamental math books

trail hemlock
bold kite
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thanks

molten mason
bold kite
molten mason
trail hemlock
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oh i have a good one

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wait

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this is the one my local community college uses

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very non math majory

molten mason
# bold kite english books are considered better so i’d rather prefer them

Spivak's calculus textbook is in both English and Spanish.

It's more rigorous, more for people who study pure-math, but perfectly great for anyone else like computer science, engineering, physics, etc. Great textbook to really learn. You'll need to find another book for Linear Algebra though.

Howard Anton has two textbooks, one called Calculus and one called Elementary Linear Algebra. You can pick any edition in the last 30 years, they're all the same. Those two textbooks will teach you Calculus and Linear Algebra and are geared towards people like engineers and other science degrees who need to be able to do a lot of computations. It's by the same author so you'll be able to learn both topics from a single source.

bold kite
#

guys one question , is a smart move buy the books that are being taught with in elite unuversities ??

bold kite
molten mason
#

I mean there's not that many textbooks... there's only a few to pick from.

gray gazelle
molten mason
# bold kite im meaning harvard , stanford …

I think both of those schools have their own in-house text they use for their own classes, they teach it a certain way, but they're not better

2 + 2 = 4 regardless of the textbook, but popular textbooks will have resources and answers online or in this Discord server. If you picl a textbook not many people use then you'll have less help.

bold kite
#

okay thanks all 3

slender cargo
#

Granted... most of the material at that level is shared between books

vocal oracle
#

Does anyone know some books on real analysis that are good for introductory couses?

strange sentinel
vocal oracle
#

Thank you

uncut crater
#

Misquoting on purpose, I think it was Lang who claimed that one can write endlessly on elliptic curves

gray gazelle
gray gazelle
uncut crater
#

I've read a lot, to realize that LADR + Golan + Greub is the best combo one can hope to complete during their undergrad

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Which is annoying, because all three of them have nothing to say about modules

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Blyth does a good job introducing them, however the algebraic prerequisites creep in later on

gray gazelle
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Do modules qualify as linear algebra?

uncut crater
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To an algebraist like me, yes

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Maybe a third course

gray gazelle
#

I feel like that’s just proper algebra at that point

uncut crater
#

Or second

trail hemlock
#

i wanna do advanced linalg

gray gazelle
#

At least in my view, “linear algebra” refers to the especially nice theory of vector spaces

trail hemlock
#

but idk enough abstract alg

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im nearly done with lang LA which is a plus

gray gazelle
trail hemlock
#

roman's book

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advanced linalg

gray gazelle
#

just jump into it

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you’ll be fineeee

uncut crater
#

I have a personal hatred for matrix computational first courses in LA, it was pathetic having to calculate the RREFS and inverses and whatnot of 5x5 matrices

I scored a B. Hated it

trail hemlock
uncut crater
#

Roman is actually good

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Tried it

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A bit too terse

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But supplement it with Blyth's notes

trail hemlock
#

i think im gonna focus on analysis atm

uncut crater
#

This world would've been beautiful if everyone started with rings first

gray gazelle
#

I’ve been trying to write some LA notes developing as much as possible without mentioning matrices at all

uncut crater
trail hemlock
#

rudin rn

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baby

trail hemlock
#

its good 😭

uncut crater
#

Well

trail hemlock
#

bro my chem teacher got soo mad i was reading rudin during class

uncut crater
#

That's fucking based

trail hemlock
#

(prob the reason i nearly got a B in chem opencry )

uncut crater
#

YOURE IN HIGHSCHOOL?

#

Holy heck

trail hemlock
#

wait till bro learns abt arti

uncut crater
#

Who's arti

trail hemlock
#

this one mf

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anwyay this is kinda off topic

uncut crater
#

👀

trail hemlock
#

im gonna go finish some problems

tribal crow
wind oriole
#

Anyone read 1Q84?

slender cargo
#

Why does 1984 get mentioned so much in this server?

tribal crow
#

we have a sticker for it

slender cargo
#

Oh I see lol

#

well then

molten mason
normal crystal
slender cargo
#

(it's still related to the year 1984)

molten mason
molten mason
trail hemlock
#

someone told me to branch out and learn more math before tackling measure theory

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and my proofs are nowhere near good enough to advance

molten mason
#

That's fair actually

trail hemlock
#

so im moving sideways and getting more maturity

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before i move to more advanced stuff

molten mason
trail hemlock
#

haha fuck no

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the goal is to read lang's algeba when school starts

strange sentinel
trail hemlock
#

😭

uncut crater
uncut crater
#

Of all the texts you could've picked up

trail hemlock
#

learn algebra and gain maturity

uncut crater
#

Not from lang

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And I definitely don't agree

sturdy shore
#

what is your algebra background

trail hemlock
#

i dont wanna do measure theory unless i can appreciate it from a lot of different perspectives

#

yk

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at least, thast what someone told me

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and so i was like alright

uncut crater
trail hemlock
strange sentinel
trail hemlock
#

and thast it 😬

uncut crater
#

It needs analysis, at most

strange sentinel
#

Try Aluffi or DF

sturdy shore
#

yeah no

#

you dont read lang algebra if you don't know algebra

uncut crater
trail hemlock
uncut crater
#

Lang writes terrible books

trail hemlock
#

DF is the classical choice for abs alg, no?

strange sentinel
tender river
#

you can always go for Jacobson

uncut crater
#

With SL(2, R) being the only exception

sturdy shore
#

DF is one classical choice, yes

strange sentinel
trail hemlock
#

are they about equal in difficulty?

sturdy shore
#

I recommend Aluffi's notes from the underground, from the little I've read

uncut crater
#

D&F has more standard exercises

strange sentinel
uncut crater
#

Aluffi has category theory

strange sentinel
#

It's well written, but easier

uncut crater
trail hemlock
#

i want some interesting exercises

strange sentinel
#

It also covers less, if I remember correctly

molten mason
trail hemlock
uncut crater
tribal crow
#

what're our thoughts on Jacobson I and II?

trail hemlock
strange sentinel
trail hemlock
#

its a compliment smfh

uncut crater
#

The only worrisome bit being the inverse notation

sturdy shore
#

chapter 0 has categories

strange sentinel
strange sentinel
uncut crater
#

Otherwise, it's a good replacement to Hungerford and Lang (heck, i think it's toe to toe against Bourbaki)

trail hemlock
#

thoughts on knapp?

strange sentinel
#

What did Jacobson do with inverse notation

trail hemlock
uncut crater
#

Composition to be precise

trail hemlock
#

also, to my understanding, algebra is fun. ill do it in parallel with Tao 2

uncut crater
sturdy shore
#

knapp is kinda weird imo, at parts I think it is great but he has a weird sense of what to spend time detailing

also he could get better at latex tbh

uncut crater
#

Knapp is Artin on steroids

sturdy shore
#

also, knapp is also grad level

uncut crater
#

I tried a printed copy of Knapp and god fucking dammit the text had the tiniest letters

sturdy shore
#

oh, artin is another good one

trail hemlock
#

ok gimme the final word on an abs alg book with interesting exercises that isnt too easy or simple

uncut crater
#

Do more analysis instead

strange sentinel
#

Or just do analysis lol

#

Especially if the goal is measure stuff

trail hemlock
#

my algebra is super weak tho... i wanna learn more algebra

tender river
#

Rotman is cool too

trail hemlock
#

final word doesnt mean 20 words yall

#

smh

strange sentinel
sturdy shore
#

I think aluffi's underground book or artin are the best choices I've seen

trail hemlock
#

its fine, ill pick a book closure to when i actually learn the subject lmfao

#

doesnt matter rn

sturdy shore
#

well, you will have to pick
there is rarely one good math book to choose especially topics at a ug level

uncut crater
#

At the cost of rigor

#

Try to find books that deal with intuition; algebra texts are notorious for not being intuitive

tender river
molten mason
sturdy shore
#

bro calling for reinforcements

uncut crater
#

Lmao

molten mason
#

@violet shuttle tell him about Lang

tender river
#

what can you do this is a pedestrian server with some pedestrian reccs...

uncut crater
#

LMAO I read that in the pins

sturdy shore
#

classic

uncut crater
#

Did dude just rage and leave server lmao

#

Truly a moment

sturdy shore
#

idr if he left immediately but he did stop typing

tribal crow
#

what happened

molten mason
#

His message is directly referencing Lang's Algebra too lmfao

tribal crow
#

who?

molten mason
tribal crow
#

ah, right

uncut crater
#

Wait a second

#

Am i tripping or that person wrote the same thing about Lang as me

#

That's a sick coincidence

#

😭

strange sentinel
uncut crater
#

Oh, he mentioned someone in highschool

strange sentinel
#

Oh, me?

uncut crater
#

I checked a few past msgs and i was genuinely impressed

sturdy shore
#

proof that you aren't pedestrian

uncut crater
#

Yep

molten mason
#

I mean it's a common opinion in this server

slender cargo
sturdy shore
#

does it?

slender cargo
#

I swear I see Lang recommended every other day

molten mason
strange sentinel
molten mason
molten mason
slender cargo
#

There should be a Lang tag

#

Or yes, Salagi

strange sentinel
#

Lang shill role

slender cargo
#

Lang shill would be good

prime dune
sturdy shore
#

I only see his algebra book mentioned often enough and opinions about it are a mixed bag

trail hemlock
#

ok

#

its set

#

in tone

#

stone

tender river
#

okay now say the same thing to the person that needs to hear that

trail hemlock
#

ill do jackobson

uncut crater
#

no awuffi 🥺

molten mason
#

Let's be real, he'll probably change his mind again, he still has a little while to go

uncut crater
slender cargo
#

I think Blackbeard will eventually settle on Artin once he sees that it covers linear algebra as well

uncut crater
#

Lmao

slender cargo
molten mason
#

That's why I buy physical bools, so then I cant change my mind catking

trail hemlock
#

thirds way done

slender cargo
#

That's 2/3rds that could be covered by Artin...

trail hemlock
#

yall are bad people

uncut crater
#

Lmao 😭

trail hemlock
#

confusing me smh

uncut crater
strange sentinel
molten mason
#

Do Lang and be better than arti

strange sentinel
#

Honestly if you read all of lang you would probably be better at algebra than me

slender cargo
#

honestly though I'm always for books with more exposition and examples if you're self studying, or whichever books have a lot of online support, which doesn't sound like Artin or Jacobson

uncut crater
#

Pinter and Gallian serve that purpose

#

Or...

slender cargo
uncut crater
#

D&F 💀

strange sentinel
#

Pinter is best for someone that hasn't really done pure math before imo

#

If you have some maturity I think there are better options

slender cargo
#

I like Gallian because there's answers in the back of the book

trail hemlock
trail hemlock
#

maturity maxx, if you will

violet shuttle
#

assuming you found D&F too easy

trail hemlock
#

no nono

violet shuttle
#

and are mathematically mature

trail hemlock
#

intro to abs alg

violet shuttle
#

and don't mind the "interesting exercises" part as much

violet shuttle
molten mason
#

Anything is intro if you're based enough

trail hemlock
#

yall are twewaking

#

10 recs from 10 diff people

#

😭

violet shuttle
#

i've been tweaking longer than you've been alive

trail hemlock
#

anyway the point is to build maturity, seeing as when I start doing abs alg, i will have finished lang's LA

molten mason
trail hemlock
#

and i will probably be like halfway done with big jech if it really matters

uncut crater
trail hemlock
uncut crater
#

Can't post media here but there's a funny exchange between Ribet and Lang

trail hemlock
uncut crater
trail hemlock
#

perhaps in parallel with folland Thonk PepeMonkaHmmm

uncut crater
trail hemlock
#

the prereq for measure theory, according to rudin, is chapters 1-7 of baby rudin

uncut crater
#

Nope

#

Dive into measure theory

#

Learn the lebesgue integral first

#

Study the Riemann integral as a special case

trail hemlock
#

yall are confusing me

#

:(

uncut crater
#

🙂

trail hemlock
#

u opp

peak axle
#

April 15 1707

trail hemlock
#

euler's bday/

#

3 days after mine....guys its a sign

peak axle
#

yes

#

i

#

Look at this

#

I posted it on another server

slender cargo
#

Is this math?

trail hemlock
#

does this justify a modping

peak axle
#

maybe….

#

for the first question

violet shuttle
#

Blackbeard is just even younger thab me

strange sentinel
# peak axle i

Does this have anything to do with book recommendations

strange sentinel
willow merlin
#

best book for nt?

strange sentinel
willow merlin
#

elementary nt

uncut crater
violet shuttle
#

the number kind arti

trail hemlock
#

arti you are what? 1 year younger than me

strange sentinel
trail hemlock
#

2?

uncut crater
trail hemlock
#

but ur like 10 years ahead

#

i dont wanna hear it from you

#

if anything ur older than me

#

grandpa

strange sentinel
violet shuttle
uncut crater
uncut crater
#

Braid groups?

violet shuttle
strange sentinel
violet shuttle
#

I work in thumb twiddling

trail hemlock
#

🤓 ☝️ this is not related to the discussion of books

uncut crater
#

So am I but that shouldn't stop anyone

violet shuttle
#

While the postdoc tries to make the thing work

violet shuttle
#

it's a portal

#

we wish to move discussion to a different channel

strange sentinel
#

Oh they're discussion channels

violet shuttle
#

and unlike some servers, we don't seem to have a way to automatically create portals like this upon innovation of a bot command

willow merlin
#

tyvm sir

gray gazelle
#

uhm

#

can someone tell me if this is any good

sage python
#

It does look nifty at a glance

gray gazelle
#

im looking at the integration chapter it has

#

looks kinda ass icl

molten mason
gray gazelle
#

have u read it?

molten mason
gray gazelle
#

thing is

#

i havent done measure theory

sage python
#

You can do a bit of functional without much measure theory

gray gazelle
#

the other FA book i have assumes measure theory knowledge

sage python
#

The main thing about measure theory is that it gives the example of L^p spaces

#

But my undergrad analysis class did functional first and just stuck to l^p spaces

gray gazelle
#

do u think axler's measure theory book could cover whatever i need for FA

#

bcz i kinda like the FA book i alr have

#

dont wanna spend 4k more

sage python
#

Our book (we didn't follow it too closely but still) was "Elements of Functional Analysis" by Kolmogorov-Fomin

gray gazelle
sage python
#

Unfortunate

molten mason
#

I don't know enough to know if this book will cover 100% of what I need or if I'll need to go through another FA book later, but this textbook is written with only requiring undergrad real analysis knowledge as a background, so if you've already done any real analysis text you'll be fine

gray gazelle
#

is functional analysis, sobolev spaces and partial diff eqs by Haim Brezis

sage python
#

Ah Brezis

gray gazelle
#

i like it a lot bcz of the PDEs section

#

which is v useful to me

sage python
#

Yeah grad functional uses that

#

And I referenced undergrad functional a bit

#

If you already have Brezis then I'll say just find a measure theory book

gray gazelle
#

is axler good?

#

for measure?

sage python
#

Try "Real Analysis for Graduate Students" by Richard Bass

remote sparrow
gray gazelle
#

ik axler for lin alg is good

sage python
#

Idk Axler's book well enough to say but I like Bass

remote sparrow
#

yes

gray gazelle
#

but idk about measure theory

gray gazelle
#

lovely

gray gazelle
remote sparrow
#

both bass and axler are free on the web

#

you could just look through both

gray gazelle
#

Dami

#

none of the books you tell me sell here 😭

remote sparrow
#

where is "here"

gray gazelle
#

i need to pay import duties to get this one

loud cradle
#

i think bass is kind of ass, i don't really trust it

gray gazelle
#

india

uncut crater
#

Bhai

#

Print karle

gray gazelle
#

but

#

i like books

remote sparrow
#

you can ask @fierce hedge which print shops will print books for you

uncut crater
gray gazelle
loud cradle
# remote sparrow why?

iirc i looked up the fubini theorem and it's stated incorrectly, lemme see if i can find it

remote sparrow
#

in the 2022 version?

uncut crater
#

Which college are u in btw @gray gazelle ?

remote sparrow
#

you can send the guy an email if you want

loud cradle
gray gazelle
#

isnt that just the switching the integrals one

gray gazelle
#

i just live here

loud cradle
#

i mean (1) through (4) are only true almost everywhere

sage python
uncut crater
gray gazelle
#

yea

sage python
#

Not even pirated but free on the author's website

uncut crater
#

Wow, how tf did u get in 😭

gray gazelle
loud cradle
gray gazelle
remote sparrow
uncut crater
gray gazelle
#

extracurriculars

loud cradle
#

ah, i didn't know it was updated, i'll check that one

gray gazelle
#

?

uncut crater
#

Ah still

#

I've heard math in France is pretty brisk

#

Probably a bit too fast paced for someone like me

gray gazelle
#

also wanted to ask

sage python
#

The standard in measure theory is Folland

gray gazelle
#

is this any good

#

for someone doing diff geo n fluids

#

it looked interesting

#

so i thought i could go through it once diff geo is over for me

sage python
#

I don't know that topic so I can't say

gray gazelle
#

fair

#

icl its v niche idk why its an undergrad book

remote sparrow
#

universitext books are pitched to masters students

gray gazelle
#

eh

#

i like the topic

#

it looks interesting

tribal crow
dense pumice
#

Hey, any recommendations for self-teaching differential geometry?

remote sparrow
tribal crow
remote sparrow
gray gazelle
gray gazelle
#

i think they can do pressley

remote sparrow
gray gazelle
#

loring tu

remote sparrow
#

aside from pressley, do carmo and tapp are good choices

gray gazelle
#

if u want like proper

#

diff geo

#

loring tu imho is the best

dense pumice
remote sparrow
#

o'neill looks good too

gray gazelle
#

or measure theory

dense pumice
#

Done Baby RA and currently studying introductory measure theory

gray gazelle
#

yo

#

high five

#

🖐️

dense pumice
#

gray gazelle
#

an into to tops book

#

u can skip to loring tu

dense pumice
#

Oh I have also done some intro topology

remote sparrow
#

you can read lee's Introduction to Topological Manifolds for the necessary topology

dense pumice
#

Though very much intro intro

remote sparrow
#

oh yeah you can read tu's book

gray gazelle
#

do yk what connectedness is?

#

and what topological gluing is?

#

if so, u can use loring tu

dense pumice
#

Connectedness is whether a two disjoint subsets of the topology can cover the main set ye?

#

Gluing idk

#

A book my supervisor mentioned is John M. Lee's "Introduction to Smooth Manifolds"

gray gazelle
#

not subsets

#

two disjoint elements of the topology

gray gazelle
#

topology's elements are open sets

dense pumice
#

Yeah yeah, because the union of any subset of the topology is in the topology

gray gazelle
#

topology's subsets are collections of open sets

#

alternatively you can call them an open cover of a subset of your topological space

dense pumice
gray gazelle
#

a cifford torus

tribal crow
uncut crater
tribal crow
#

Introduction to Complex Manifolds is a thing now

uncut crater
#

Yep

#

Love that guy

tribal crow
#

me too

uncut crater
#

Christian Bär also has a good book on diff geo

#

I might have misspelt the name

gray gazelle
#

lorentzian manifolds >>>

dense pumice
#

ty ty all

uncut crater
#

Hey

#

You might like nomizu Kobayashi too

#

Yk

dense pumice
uncut crater
uncut crater
#

Do I recommend it? Sadly no

dense pumice
#

Okay cool cool

#

ah

uncut crater
#

There's munk for top

dense pumice
#

Okay well I'm sure I've got at least 2 topology books on this computer already

tribal crow
uncut crater
tribal crow
#

fair enough

uncut crater
#

My first exposure to top was the book by sasha

#

Insert a long serbian (?) surname

dense pumice
#

Man I really need to clean up my textbook folder

tribal crow
#

oh, mine is unbelievably disorganized

#

@molten mason what's yours like?

dense pumice
#

Definitely some missing, probably buried in my university folders somewhere

tribal crow
#

I probably have half a thousand textbook pdfs now

#

actually, likely more

dense pumice
#

My university folders are very well organized though

tribal crow
#

I didn't keep track

#

Salagos has... I forget

#

a few thousand?

sage python
#

Lol I got a new laptop lately so I don't yet have many books on there or have thought about how I wanna organize

molten mason
tribal crow
#

mine is alphabetical by the author title

#

cause I put the author first

molten mason
#

I have the author name in the title, just at the end, so if I want to search say "Lee" they'll all pop up

tribal crow
#

Textbook - Author?

#

I do Author - Textbook

dense pumice
#

Oh hey, Lee's "Intro to Smooth Manifolds" actually has a chapter on Lie Groups, which is part of why diffgeo is near the top of my self-study list rn

molten mason
#

One folder opencry

I've been meaning to sort it into topics like Jay but I'm lazy

#

And honestly there's no need.

sage python
#

I do [Author] Title

#

That way if the title has two parts I can still use a dash

#

(Also since you can't put : in the file name)

sage python
dense pumice
#

My current partitioning is failing me

trail hemlock
uncut crater
#

damn

remote sparrow
dense pumice
#

Although apparently I can't share pictures in this channel with my current roles 😛

tribal crow
#

Topological -> Smooth -> Riemmanian -> Complex is the quartet

gray gazelle
#

but diff subjects

#

one is on

#

Intro to topology

#

the other is on differential topology

drowsy nacelle
#

any recs on algebraic combinatorics

tribal crow
#

@hallow oriole all you lol

remote sparrow
#

@mossy flume

mossy flume
# drowsy nacelle any recs on algebraic combinatorics

Sagan's The Symmetric Group is a good UG level look at the basics of representation theory and associated combinatorics of the symmetric group.
I've heard good things about Representation Theory of the Symmetric Groups - Ceccherini-Silberstein, Scarabotti, Tolli but I've never really looked at it.
Fulton's Young Tableaux is a nice look at some combintorial ideas of representation theory as well as algebraic geometry, not quite UG level but very approachable.
Alot of people will recommend Stanley's Enumerative Combinatorics I and II but to me these are more encyclopedic than good for learning. He has an UG text called "Algebraic Combinatorics" which is nice.

drowsy nacelle
#

thanks a lot

mossy flume
#

I really like Sagan's text and Fulton's text I think those are fantastic starts

#

there's a good amount of overlap between the two

drowsy nacelle
#

i think thats where ill start, i have experience with algebra but not much with representation theory

mossy flume
#

ok then Stanley's UG text and Sagan's text are perfect starts

#

if you want something tangentially related and more algorithmic, Ideals, Varieties, and Algorithms by Cox, Little, and O'Shea talks about some algorithmic problems in commutative algebra / algebraic geometry

#

I find that many people who are interested in algebraic combinatorics also like the stuff in there

drowsy nacelle
mossy flume
#

benefit, sure but need absolutely not

#

the only background it assumes is linear algebra

drowsy nacelle
#

oh nice

mossy flume
#

so you knowing abstract algebra is already a head start

tribal crow
#

linear algebra mentioned! irealshit

drowsy nacelle
#

yeah i see

mossy flume
drowsy nacelle
#

it definitely sounds interesting to me

mossy flume
#

yea it's fun stuff

tribal crow
#

dw, I lurk all the adv channels

#

I'm well aware

mossy flume
#

I know I'm just meming

tribal crow
mossy flume
#

relevant reference

mossy flume
tribal crow
trail hemlock
tribal crow
#

I tried to brainstorm some graph theory stuff with Austin once, cause he asked me to

#

I didn't get very far opencry

trail hemlock
#

graph theory is so cool

#

i know the basic basic basic stuff

#

but i like

#

guys jacobson is "basic algebra I" and not "lectures in abstract algebra" right

trail hemlock
remote sparrow
trail hemlock
#

sour drop my savior

#

ty

fierce hedge
trail hemlock
#

no its for when i finish lang's la

fierce hedge
#

Ia is linear algebra right?

trail hemlock
#

ye

fierce hedge
#

So you will be using Jacobson for abstract algebra?

trail hemlock
#

its dami's "personal favorite" and thats all i neeed to hear

#

💯

fierce hedge
#

Oh boi

tribal crow
#

I know that Miz is using Jacobson as an intro to AA, but it seems to be quite hard lmao

fierce hedge
#

I should just say don't, in my experience it's terse asf

#

Like there's no wasted words

trail hemlock
#

like rudin sotrue

fierce hedge
#

It's worse imo

bleak bone
#

hello, is anyone having Class 12th RD Sharma vol1 and vol2 pdf?

trail hemlock
#

u cannot ask for pdfs here

tribal crow
bleak bone
trail hemlock
#

its against discord ToS, and more importantly, not legal

tribal crow
#

like Axler or Bass

trail hemlock
#

(not that people here dont download em anyway lmfao)

fierce hedge
#

Again worse or better is subjective but yeah, I'll suggest you try Robert Ash first, nice compact cheap Dover book with answers at back

trail hemlock
#

doesnt someone here have the entire springer UG book thing downloaded?

fierce hedge
trail hemlock
#

wowzers

#

do i ask my family in delhi to ship me some books ?

#

i think so...

fierce hedge
#

You can, in fact it is located in Delhi

trail hemlock
#

yeah i read the thing

#

anyway this is kinda off topic

#

and i have some practice problesm to do anyway

#

cya

#

also numpy i dont see u in analysis class anymore 😔

#

😭

fierce hedge
trail hemlock
#

good luck

fierce hedge
#

Thanks happy

fierce hedge
tribal crow
fierce hedge
#

My spelling skills have gone to shambles bearlain

tribal crow
#

my spelling skills have always been bad bearlain

dim sierra
fierce hedge
dim sierra
#

Wow

trail hemlock
#

10,000 pages of black ink

trail hemlock
#

right

#

it’s 250 books right

molten mason
#

Sure

tribal crow
#

or was it the GTM you have?

molten mason
molten mason
# junior isle Who does

If you're a university student Springer allows free pdf downloads of any of their textbooks

molten mason
#

Literally click any textbook on Springer and it's right there

junior isle
#

I didn't know that

#

Thanks

trail hemlock
#

wonder if my school will pay for this

molten mason
trail hemlock
#

mine

#

hs

molten mason
#

Oh probably not lmfao

What university are you planning on attending

#

There are only two high schools in the list
Jericho high school and weston high school

modern ruin
#

i’m literally about to download literally every springer book in existence

tribal crow
#

also, it's not any of their textbooks

#

but it's a lot

modern ruin
#

idk i’m usually very good at obtaining books