book-recommendations

[quasi haven]

If you have that can you send me in my DM?

[uncut crater]

Okay

[brave jasper]

hi everyone, does anyone would be interested in reading high dimensional probability book, or its related papers/techs, together? forming a reading group for example? I am currently dedicate my 2months to this, and hopefully could find a study partner. It would be very helpful to discuss with someone, ask/answer questions.

[vast pond]

How would you recommend Freitag-Busam

[raw bay]

resources to brush up/revise basic probability, i got a oa for it !

[lusty escarp]

Do you mean the book by Roman Vershynin?

[brave jasper]

yes! and maybe with the book by roman handel, together

[lusty escarp]

He has notes I guess.

[fresh skiff]

Seems like it's not for undergraduate student

[brave jasper]

yes, i think maybe for masters, phds. i am doing it for research purpose, just want to enhance knowledge

[brave jasper]

yes, it is lecture notes

[lusty escarp]

Roman vershynin has lecture videos also. I don't remember where.

[lusty escarp]

They are similar but seem different also.

[brave jasper]

on youtube

[stable flicker]

Advanced undergraduate math students should be able to do it

It is not an easy book/topic

But I think it is not algebraic geometry Hartshorne

[fresh skiff]

So it's in between easy and very hard

The name Hartshorne reminds me this

[stable flicker]

I think it is easier than Massart? But it really depends on you. I think math people tend to like Massart more

[fresh skiff]

What's Massart?

[stable flicker]

Massart = https://link.springer.com/book/10.1007/978-3-540-48503-2

I think these notes are new, and cover the same topics (as HDP by Vershynin)
https://tropp.caltech.edu/notes/Tro21-Probability-High-LN-corr.pdf

[gray gazelle]

@trail hemlock are Art of problem solving books usually just teach you when you get into solutions?

I'm getting confusion because of it whether I'll accept or not the way it do

[surreal token]

That's cool man, congrats

[unborn jackal]

almost done with studying lin alg (im using hoffman kunze) and was wondering whether going through a book like advanced lin alg by steven roman is beneficial/makes sense

went through the topics of the book but noticed that i didnt know most of the stuff covered in it

[uncut crater]

Yes it does

It's a GTM after all

In all seriousness, woman tries to be encyclopedic in its exposition, being very terse at points where you least want him to be

Most of the book relies on module theory, which, idk man I'd like a course on rings before touching that

If you're done with Hoffman Kunze, try Golan for problems and Greub (The Reference™)

[uncut violet]

'sup y'all!
Has anyone got any recommendation for a good text book on Operator Algebras for someone in a hurry lol.

[foggy quest]

You can try the Banach Algebra notes from https://mtaylor.web.unc.edu/notes/functional-analysis-course/.

[uncut violet]

Yeah, I'm way due to learn this topic. Will definitely look into it, thanks

[hasty marsh]

What book should I start with If I want to relearn Calculus properly?

I am already familiar with most of the single-variable calculus and some multi-variable as well. I can also solve intermediate problems generally. I just don't feel confidently good about it so I wanna do it properly.
I have tried Stewart's Calculus: Early Transcendentals(which was the textbook when I studied it first time in college but I wasn't very serious then). Anyway, this one doesn't seem rigourous enough.
I am also considering Abbott's Understanding Analysis - it looks good but I just wanna ensure before I wade into it properly.

I want a book which focuses on concepts, proof writing, good problems, and understanding. I don't care about it having real-world examples or such. I don't want it to be oversimplified either - the way they do often to make it approachable for beginners.
I shall be very grateful for a good recommendation.

[gray gazelle]

Spivak maybe?

[foggy quest]

Abbott's book fits your criteria. Also the single variable book here: https://mtaylor.web.unc.edu/notes/math-521-522-basic-undergraduate-analysis-advanced-calculus/.

[signal mountain]

@hasty marsh someone asked similar earlier

spivak 'calculus' - i believe is a gentle transition from calculus as you may know it to real analysis
tao 'analysis i' - quite conversational, takes its times
abbot - idk abt, but its gets recommended a lot
rudin 'principles of mathematical analysis' - seen as THE undergraduate book on real analysis, but other treatments may be better for you

[hasty marsh]

Could someone possibly provide me with a pdf of Spivak, please? I can't seem to find it.

[signal mountain]

for a more expansive comparison see this #book-recommendations message

[quasi haven]

I heard rudin is difficult to read?

[signal mountain]

its certainly not regarded as an easy book, no

but if its not your style then absolutely go for something else !

[quasi haven]

Which one is relatively easier? Especially for engineers who are not hardcore mathematicians

Spivak is easier?

[gray gazelle]

as for pdf's you will do your own business but i will provide you one of shadow libraries

but you can't trust me

[signal mountain]

what are you looking for ?

[hasty marsh]

I have found it now. Thank you, though.

[quasi haven]

Books on Calculus and Complex Analysis

Someone said Spivak and Rudin for Calculus

But Rudin is difficult as I heard

Don't know about Spivak

[signal mountain]

then probably spivak and/or tao if you dont like rudin

[quasi haven]

What about Complex Analysis?

[hasty marsh]

Thank you, guys. I really appreciate the help.

[signal mountain]

probably check out this message #book-recommendations message

[tribal crow]

Spivak is a good writer, but has tough problems

I like it that way though

[quasi haven]

Someone said Konrad Knopp

For Complex Analysis

[tribal crow]

I already gave them a pdf

but that's a more legal way

[native cradle]

even this is not legal afiak

[tribal crow]

I said more legal

[native cradle]

just becuase it's on the IA doesn't make it legal

ah

ok

sorry

[molten mason]

Do not provide or mention these

[tribal crow]

what I did was certainly less legal

[molten mason]

Yeah they're currently going through legal drama

[gray gazelle]

sorry about that

[native cradle]

wish it were widely availible , legally ofocurse

[tribal crow]

be the change you want to see in the world

[native cradle]

I'm going to import it

[tribal crow]

every textbook is free if you run fast enough

[gray gazelle]

I'm anticipating for David Morin's Algebra

[molten mason]

Using archive is technically legal for users. You're streaming content from someone else.

Downloading a PDF from certain websites already mentioned is actually illegal, since you're obtaining and now possessing copyrighted material

[loud cradle]

presumably not illegal in every country, ig

[gray gazelle]

Big fan of David Morin lol

[tribal crow]

Morin wrote an algebra textbook??

why did nobody tell me

[molten mason]

Discord is in the US is the point

[native cradle]

would lang be a good alternative to spivak?

[loud cradle]

physicist gonna teach math, watch out

[molten mason]

And mathcord is a discord partner

[loud cradle]

oh for sure it's not ok here, and also against server rules regardless of legality

[tribal crow]

oh, wrong algebra

dang it

[native cradle]

uh, can I also have a few algebra book recommendations

[molten mason]

Yeah posting links in server was the topic

[tribal crow]

check Dami's pinned message

[native cradle]

oh right

forgot

[signal mountain]

abstract algebra or like us 'algebra'

[gray gazelle]

yes coming soon in July

[loud cradle]

ah, yea that's a no go

[molten mason]

The answer is always Lang

[tribal crow]

#book-recommendations message

[gray gazelle]

Lang hates me..

[native cradle]

I thought lang was supposed to be for calc

[loud cradle]

"first undergrad text for algebra"
answer: lang

[tribal crow]

Lang has books for an entire UG curriculum

except AnaNT for some reason

[remote sparrow]

#book-recommendations message

[native cradle]

AnaNT?

[tribal crow]

analytic number theory

[native cradle]

ah

[gray gazelle]

what about introduction algebra?

[tribal crow]

idk

[native cradle]

that's a UG course?

[loud cradle]

of rather variable quality, alas

[tribal crow]

indeed

[native cradle]

hall and knight perhaps ?

for problems

[loud cradle]

people recommend artin quite a bit

[signal mountain]

artin or herstein

[gray gazelle]

fuck no

[molten mason]

Always

[tribal crow]

to physicsrocks: Lang's Algebra is a notoriously difficult book lol

Salagos is just a Lang shill

[molten mason]

Lang has written a book for almost every single undergrad math course

[gray gazelle]

qualification to read the book: be Terence Tao

[remote sparrow]

#book-recommendations message

[loud cradle]

hmm, did he write a topology book? i can't remember

[gray gazelle]

Lang's too chad but hates me

[gray gazelle]

that's abstract?

[molten mason]

Yeah makes me cry every time

[remote sparrow]

yes

[tribal crow]

yeah so, I would probably not recommend Lang as a first introduction to algebra

[gray gazelle]

what you guys recommend is for higher levels

[remote sparrow]

of what

[native cradle]

The harder the better, I have high ambitions

[tribal crow]

Salagos and Xela will shill it, but idk

[gray gazelle]

i think i stick with AOPS

I'm basically in middle school..

[remote sparrow]

oh you just want that stuff

[gray gazelle]

nope

i want other stuffs also

but not something too abstract that

[signal mountain]

maybe you should read what is said about lang here https://tableschairsandbeermugsmathemagician.blogspot.com/2015/08/normal-0-false-false-false-en-us-x-none.html

[gray gazelle]

my hair pulls off

[molten mason]

If you're extremely motivated sure.

Otherwise it's more of a second textbook after you've done a more reasonable text

[gray gazelle]

physicsrocks?

[native cradle]

That's me

[tribal crow]

yes, that's @native cradle

[gray gazelle]

lol Lang's book is really hard for me

[remote sparrow]

as one can see, web design was mathemagician's passion

[native cradle]

👍 , I better be

[gray gazelle]

any other recommendations other than AOPS introduction to algebra?

[signal mountain]

haha yeah its pretty bad

each page is like totally different font size and colour, its all over the place

[remote sparrow]

while tuloomath is down, you can find it on web archive

[molten mason]

Just in Real and Functional Analysis IIRC, but no dedicated textbook.

[signal mountain]

uhh maybe some light number theory, can be a gentle intro to abs alg

[gray gazelle]

is even hall and knight recommendable to students lol..

[signal mountain]

through like modular arithmetic and equivalence relations

[gray gazelle]

umm i just really like to get into calculus now

[signal mountain]

so you want to do calculus or algebra im confused now

[loud cradle]

lang's calculus books are actually not bad, certainly better than something like stewart

[gray gazelle]

algebra then calculus

[molten mason]

[native cradle]

what about comapred to spivak?

[signal mountain]

right so what was your quarrel with what i said here @gray gazelle ?

[remote sparrow]

https://web.archive.org/web/20220125205431/http://www.tuloomath.com/

here's one of his other websites

[signal mountain]

yeah i checked itt out, bit annoying to navigate in wayback

but its nice that its still around

[drowsy nacelle]

Lang lore is crazy

very entertaining to read

[loud cradle]

different audience, lang's are not rigorous treatments like spivak, they're more like traditional texts used for non math majors, but without all the colorful fluff and pointless applications to life sciences and economics etc
he does give reasonable arguments for why the theorems are true, but it's not proof focused like spivak

[molten mason]

Let's start from the top.

What is your current math education and abilities. What is the most recent math you have done. What is your goals

[native cradle]

shit, paid an arm thinking it would be equivalent to the arm and a leg spivak costs, oh well

thanks

[loud cradle]

yea it's not really a substitute for something like spivak, sorry
at least you didn't pay the going price for apostol, wtf

[molten mason]

Knowledge is knowledge, and honestly a majority of the material is the same in many textbooks, it's just a different voice.

[remote sparrow]

you shouldn't buy apostol new anyhow

[native cradle]

spivak is 239 USD here

[loud cradle]

^ look at that list price, $332 per volume

[signal mountain]

thats insane

[molten mason]

At least it's all three semesters

Also tbf I think I paid like $250 for Stewart

[signal mountain]

who is paying this

[native cradle]

land was 59 USD

[loud cradle]

fuck that's high
when he was still alive you could get it through his website for like $70 or $80 iirc

[drowsy nacelle]

criminal

[tribal crow]

FIS was like $300 at my uni bookstore

[loud cradle]

oh yea stewart is absurdly priced and bad

[molten mason]

If you check out Calculus by Kitchen, it's similiar level to Spivak and Apostol and only like... $50-$100?

[hasty eagle]

Salqvist Correspondence Theorem

[loud cradle]

damn

[native cradle]

I got it for around 10 USD ,

[remote sparrow]

https://www.amazon.com/Calculus-Variable-Dover-Books-Mathematics/dp/0486838064

[tribal crow]

I did not buy FIS

[native cradle]

thanks

[remote sparrow]

it's $30.17 right now

[tribal crow]

just used pdf

[molten mason]

Amazing

[native cradle]

yeah, around 25 uSD here

[molten mason]

The paperback is $30

[remote sparrow]

https://www.amazon.com/Calculus-4th-Michael-Spivak/dp/0914098918

[tribal crow]

I'm not buying it anyways

[remote sparrow]

used copies of spivak are fine

[gray gazelle]

my recent is quadratic equations... and my goals is quite big tho pursue a major in Physics but first get into Oly so I'll get some scholarship abroad and not pay college lol..

[molten mason]

I low key want to buy apostol just to have it, they're nice tomes for the bookshelf at least

[tribal crow]

I got gifted a bunch of free books from someone on this server, so I've basically saved half a thousand dollars already

maybe more

[native cradle]

I should probably wait until uni before I start spiviak, might be there in the library

[remote sparrow]

where are you looking?

are you outside the US?

[native cradle]

amazon india

[gray gazelle]

ohh a physical one?

[tribal crow]

yeah, 6 physical books

[gray gazelle]

damnn, from who?

[loud cradle]

and any edition is fine too, if you don't need the exact problem sequence for homework assignments
i think i paid $20 for the 1st edition, has served me well over the years

[tribal crow]

another user whom I will not name rn

[gray gazelle]

a mod perhaps?

damn

[tribal crow]

not a mod...

[gray gazelle]

that's being lucky

[gray gazelle]

well still a W

[remote sparrow]

i will note that the third and fourth editions have a combined solutions manual available for purchase

[loud cradle]

ah that's useful for self study for sure

[gray gazelle]

I'm still waiting for Salqvist reply lol..

[native cradle]

what would be a good altenrative to spivak for multi-variable calc though

[drowsy nacelle]

theres no shame in using an "easier" one if youre starting from scratch though cause a lot of the harder ones cover the basics in more of a reference style

[remote sparrow]

#advanced-lounge message

[drowsy nacelle]

and you wanna build up the foundation properly

[gray gazelle]

No access?

[loud cradle]

i've never seen a really great one, but the book by shifrin is pretty decent

[drowsy nacelle]

shifrin is goated

[remote sparrow]

you have perma-studying role

[native cradle]

thanks

[gray gazelle]

ah yes i forgot

[loud cradle]

if you don't know LA you could try hubbard, but it's veeeery slow paced

[remote sparrow]

it depends where you are in your mathematical education

[molten mason]

Check out Brian McLogan and Professor Leonard on YouTube and go from there.

Most errors in calculus and physics aren't calculus errors, they're arithmetic errors. You really need to master and be proficient at the level you're currently at first before moving on.

You're honestly a few weeks to a couple months away from Calc depending on how much work you put in.

Basic Mathematics is pre-calculus level designed to prepare you to study Calculus, if that's too hard then again, you need to stay at the level you're at first before moving on.

Don't worry about any other textbooks until you're ready to move up.

If you need help with Basic Mathematics then utilize #prealg-and-algebra #precalculus and the other pre-uni channels

[drowsy nacelle]

shifrin also goes through LA from first principles btw

[remote sparrow]

there's a lot of ways it can be taught depending on how much you know

[native cradle]

starting my first year this year

[remote sparrow]

hubbard is good

also shifrin

[gray gazelle]

but I'm doing AOPS?

[signal mountain]

holy crap dude

thats beautiful

dont even wanna think how much that costs tho 😭

[molten mason]

Yeah my Calc textbook is from 1994 and it's really not that different from any of the brand new calc books out there lol

[gray gazelle]

can i do AOPS instead...

[trail hemlock]

holy shit

that’s so good

[gray gazelle]

Basic Mathematics by serge lang doesn't suit my taste at all since it's too hard and yea beyond my level..

[molten mason]

That's fine too, it's all the same

[gray gazelle]

ah alr

[molten mason]

The point is to just master where you're at

[gray gazelle]

I'm alr in Chapter 2 lol

[molten mason]

The rest of my message still applies

[gray gazelle]

yes that's right

[drowsy nacelle]

tbh if you truly comprehensively go through shifrin or hubbard, you can start from not knowing much of anything and leave with a very good understanding of calc/linalg

[native cradle]

is this different from the classic spivak ?

[gray gazelle]

But i can just do calculus by aops..

[loud cradle]

yea, probably true, i seem to recall that he does it at a brisker pace than hubbard but it's been a while since i looked at either
i think shifrin is like half the page count anyway

[native cradle]

this is like 15USD so I hope so

[drowsy nacelle]

This more so attempts to bridge someone that's done multivariable to differential goemetry

[molten mason]

.... after you finish precalc

[signal mountain]

no this is differential geometry iirc

[tribal crow]

oh yes. I'm reading this rn

[gray gazelle]

i probably need to not mind other textbooks it's really tempting

[tribal crow]

it's much smaller and more terse than his Calculus

[remote sparrow]

it's multivariable calc

[signal mountain]

oh sorry ouy said different

[tribal crow]

it's both

[native cradle]

cool, thanks

[tribal crow]

multivariate analysis into intro diff geo

[loud cradle]

yea do not read spivak calc on manifolds for a first exposure to multivariable calculus

[tribal crow]

I uhh, didn't seem to get the memo

[signal mountain]

oops i was way off haha

[loud cradle]

my sympathies are with you

[tribal crow]

issok

I'll manage

[remote sparrow]

tbh the line between multivariable calc and diff geo is a bit blurry

[native cradle]

I'm trying to emulate a program at a top 25 uni ( I didn;t get into any of the top unis in India (iit/nit/isi)), so I;d be greatuful if anyone could share the entire list of books I should use to emulate one

[drowsy nacelle]

yeah it is a lot shorter i think

[signal mountain]

thats not really so simple

[remote sparrow]

but a multivariable calc book has more focus on all those analytic bounds and estimates and such

[signal mountain]

theres not reaally a 'canon' for maths books as much as some people (lang worshippers) may like there to be

different books are going to be better for different people, who do things in different orders, or have different needs otherwise or style preferences etc etc etc

[drowsy nacelle]

shifrin/hubbard are standard for multivariable at top universities too

[native cradle]

thanks!

[loud cradle]

haha if lang were the math canon i'd probably go read statistics instead

[remote sparrow]

the main text is like 600ish pages, but there's like 150+ pages worth of appendices

[drowsy nacelle]

strang then axler is also pretty standard linear algebra progression

[native cradle]

strang over axler?

[remote sparrow]

no

[drowsy nacelle]

sorry i meant then

like

strang as a first course then axler

[native cradle]

ah

[drowsy nacelle]

i should change that lmfao

[signal mountain]

check out the pinned messages for some recommendations on various courses @native cradle

[native cradle]

thanks

[signal mountain]

theres also these lists https://hbpms.blogspot.com

oops didnt copy

https://www.ocf.berkeley.edu/~abhishek/chicmath.htm

[drowsy nacelle]

@native cradle all in all though a lot of it is just which resources click for you, like some people will just mesh better with the style and pace of some books over others

dont try to restrict yourself too much

[native cradle]

[signal mountain]

if you can access a university library then you can have a look a few different texts see what you like

[native cradle]

Yeah, I'll be ablr to access it in 2 months

[signal mountain]

and its quite reasonable to use multiple texts at the same time

[native cradle]

and I get access to springer pdfs too(legally)

[signal mountain]

to get different perspectives, help you move past points you get stuck on

[drowsy nacelle]

yeah

[native cradle]

👍

[drowsy nacelle]

i also remember initially i went through the same mentality of searching for "the perfect book" for stuff and realized pretty quick that you usually end up using a variety of resources while trying to learn something

[tribal crow]

mhm

[drowsy nacelle]

and once you get the definitions properly exercises are key

[native cradle]

that's really expensive though

[tribal crow]

one book is overrated

usually it's better to use multiple

[drowsy nacelle]

well

[tribal crow]

so it's not too useful to get caught up in finding a single perfect book for your needs

[signal mountain]

i think most people here arent buying the books

[drowsy nacelle]

i dont wanna get banned so im not gonna elaborate

[signal mountain]

ill say no more

[drowsy nacelle]

LMAO

[tribal crow]

physicsrocks does buy a lot of physical books though

so I guess this becomes more important

[signal mountain]

you can borrow books from the library though

or just study with them in the library

[drowsy nacelle]

yeah thats true

[native cradle]

I will probably do that once Uni starts

[signal mountain]

so you dont have to always buy

[drowsy nacelle]

And also school access

yea

[signal mountain]

and you dont need to use the 'best' books, you will still get a lot from less known books that may be cheaper

[trail hemlock]

nah read spivaks calculus

aops calc handles a lot of stuff in not the best way

not very rigorous

[signal mountain]

i dont think theyre after rigorous

[trail hemlock]

it tries to be less computational but fails to be very rigorous

[molten mason]

Yeah I use 2-3 textbooks for each subject. I'm not over here only in Lang textbooks lol

[trail hemlock]

it’s a weird in between

[molten mason]

LA is going to be like 4-5 textbooks

[signal mountain]

oh so like lang ed 1, 2 and 3 ?

[drowsy nacelle]

lmfao so many times ive had everything click when im reading or watching some completely random thing with like 30 views

[signal mountain]

whats the lineup

[molten mason]

Springer allows unlimited downloads, and there's multiple textbooks per subject.

This is what a lot of us do

[molten mason]

Stop lmfao

[drowsy nacelle]

i genuinely have like 50 LA books

[unkempt horizon]

Hi, can someone reccomend me a book that mentions smooth iteration coloring for mandel brot set?

Specifically this

https://en.wikipedia.org/wiki/Plotting_algorithms_for_the_Mandelbrot_set ,

Also why cant I add images in this channel

[molten mason]

Lang, FIS, Halmos, H&K, Roman more or less

[molten mason]

Amazing

[drowsy nacelle]

the only thing that comes close is probably real analysis but still doesnt hold a candle

[tribal crow]

Axler dissenter here I see

[gray gazelle]

I'm really not into rigor especially if i do calculus based physics but does it require rigor tho?

[tribal crow]

I approve, kind of

[signal mountain]

whats FIS ?

[tribal crow]

Friedberg, Insel, Spence

[signal mountain]

ah not heard of that one

[drowsy nacelle]

axler is good but not complete

[molten mason]

[tribal crow]

I'm an Axler semi-dissenter too

[molten mason]

I've skimmed Axler but I have no interest in actually going through it lol

[drowsy nacelle]

im lowkey an axler hater

but only the LA stuff

[native cradle]

I have FIS but it seems kind of matrix intensive 😭, so will probably use axler for a while

[tribal crow]

Axler is not bad, he just does things a bit funny

[native cradle]

I know

[drowsy nacelle]

just make sure you also learn from someone with a sane perspective on the subject and youre good

[loud cradle]

axler is fine, and a decent chunk of his book is a cleaner exposition than in FIS tbh
just don't make it your only exposure, that's not what it is designed for

[native cradle]

got it

[signal mountain]

why so many tho ... why not say just halmos and roman

[remote sparrow]

matrices are boring

[native cradle]

would strang be a good second option?

[drowsy nacelle]

second chronologically?

or just like another book

[loud cradle]

a lot of people like strang, i did not like it (used it for my first course)

[remote sparrow]

i never used strang

[drowsy nacelle]

strang can be first course but it's mainly computational

[native cradle]

another book

[drowsy nacelle]

like

you wont get the theoretical insight really

[loud cradle]

and when he does try to give insight it's frankly muddled and confusing (to me at least)

[remote sparrow]

i was assigned a combined linear algebra/differential equations book

i don't generally like early determinants; i would prefer for it to be deferred

[drowsy nacelle]

yeah but once multilinear maps are covered its fair game

otherwise you can't really describe it without just giving a rote formula

[loud cradle]

i guess the reason for early determinants is because applications (like multivariable calculus) use them

[drowsy nacelle]

yeah

i consider that really important ngl

[tribal crow]

I like the 'axiomatic' way of defining the det

[drowsy nacelle]

i mean its not that hard to introduce them properly

like

[molten mason]

Because I can.

No real reason, LA is actually something I want to master. I probably won't even stop there honestly. That's not even including other textbooks like ones devoted to matrices

[remote sparrow]

multivariable calculus shouldn't be taught before linear algebra

[loud cradle]

yea

[tribal crow]

the cofactor expansion is not a good def imo

[remote sparrow]

but it is

[tribal crow]

why do you say so

[loud cradle]

sadly the majority of students who take mvc don't get to LA until later, if at all

[remote sparrow]

no you typed faster

[tribal crow]

oh I see

[loud cradle]

and math departments if nothing else have to serve those other majors, they're a good revenue source

[signal mountain]

ah ok fair enough then, thought you might have some master plan of 'h&k ch 1-3, lang 4, ...' or something crazy

[drowsy nacelle]

hmm

i never thought of the cofactor expansion as a definition but more of an algorithm

[tribal crow]

unfortunately, I've seen it used as a definition quite often

[loud cradle]

yea doesn't FIS do it that way?

[tribal crow]

they do, iirc

[drowsy nacelle]

thats pretty opaque if you dont know whats going on

[tribal crow]

but my courses didn't do that

[loud cradle]

one demerit for FIS haha

[tribal crow]

they did it the axiomatic way

[loud cradle]

the H&K treatment is much nicer

[tribal crow]

FIS' Jordan form chapter is a trainwreck idk

that's probably my largest complaint lol

[loud cradle]

yea i don't really love FIS but it's semi-reasonable for most things and easier to recommend as an intro than H&K or axler

[native cradle]

wait, so I should use FIS before axler?

[loud cradle]

you don't have to

[native cradle]

I did chapter one of axler, mostly made sense to me

[tribal crow]

there's no need

btw physicsrocks

[loud cradle]

if you already know things like row reduction and other basic matrix-oriented stuff then you're not missing much if you read axler

[tribal crow]

I can send you some course notes my prof wrote for eigenstuff and beyond

they're quite good

[molten mason]

Oh no lol at least not purposely

[tribal crow]

we don't need to talk about this

[drowsy nacelle]

its not that i dont think youll understand axler, its just that his perspective is kind of unorthodox and you want to complement it with something else

[native cradle]

I was actually introduced to matrices at school, and I hated it, so this was a breath of fresh air

[remote sparrow]

a common alternative for introducing determinants early is the permutation formula thingy

[drowsy nacelle]

i think we did the axiomatic way and then introduced the cofactor expansion as a way to calculate

[tribal crow]

the Leibniz formula?

[remote sparrow]

have you ever taken a look at meckes and meckes

[remote sparrow]

idk the name

[loud cradle]

yeah, that's viable too.. i think shilov does it that way, and fairly well

[drowsy nacelle]

like using sgn

[tribal crow]

this thing?
https://en.wikipedia.org/wiki/Leibniz_formula_for_determinants

[drowsy nacelle]

or

[remote sparrow]

yeah

[loud cradle]

no, i don't know that one at all, is it good?

[tribal crow]

we did use this formula when doing dets axiomatically

it was nice

[remote sparrow]

i really like it

it does determinants late too

https://www.amazon.com/Linear-Algebra-Cambridge-Mathematical-Textbooks/dp/1107177901

https://old.maa.org/press/maa-reviews/linear-algebra-9

[native cradle]

just out of curisoity, for NT, I'm currently using Burton, is that missing anything?

[remote sparrow]

it covers all the standard topics

usually the most you'll get up to is quadratic reciprocity in a one-semester elementary NT course

[drowsy nacelle]

imo number theory is a bit of a rabbit hole though like youll just keep discovering new concepts and techniques the more exercises you do

true for most areas of math ofc but i think especially nt

[drowsy nacelle]

this book looks nice i looked through it

"The Rat Poison Principle
Q: How do you find out if something is rat poison?
A: You feed it to a rat."

Lmfao

[junior isle]

@gray jungle which book are you gonna use for the measure theory study group?

[gray jungle]

folland

[uncut crater]

@gray jungle wait there's a measure theory study group? Where???

[gray jungle]

not yet. we are starting one in a month and a half, give or take

[uncut crater]

Oooh can I join too?

Will it be graduate level?

[gray jungle]

you can apply when we announce it

[uncut crater]

Damn that's awesome! Thanks!

[gray jungle]

i guess its on the line between undergrad and graduate

[uncut crater]

Assuming that the announcement will be made here?

[gray jungle]

ye

[uncut crater]

Perfect

Alright, I'll brush up my stuff

[uncut crater]

Idiosyncrasy at its finest

[tribal crow]

indeed

[uncut crater]

I think Axler + Kowalski is the complete referencr

I read a lot of stuff from Kowalski instead of Axler

Axler has ZERO motivation for quotient spaces

[tribal crow]

this is not the channel for these posts

keep it in #chill

[wanton dagger]

i'd like to shill algebra by michael artin

and hoffman & kunze if you want something classic

[fervent marten]

what are some good books for studying maths in business applications as a rising freshman?

perferably under $100?

[wanton dagger]

jesus why would you pay $100 for a friggin book?

[signal mountain]

a lot of textbooks are worse than that

[fervent marten]

bruh most textbooks are over $100

[fervent marten]

do you have any recomendations

[signal mountain]

no idea sorry

[fervent marten]

youre good thx

[signal mountain]

but its likely you can find one for free (legally) online

[fervent marten]

lol wdym legally

[signal mountain]

springer give institutional access to a lot of books

[fervent marten]

oh

[signal mountain]

so you can just download pdfs for free

otherwise theres a lot of open access stuff out there

i.e. other pdf ebooks that are legally free

[fervent marten]

oh ok

thx have a nice day

[signal mountain]

you too !

[wanton dagger]

we don't mention libgen in this server?

[signal mountain]

no

its smth smth piracy illegal in america, discord based in america, this server partner of discord

probably also smth in there abt discord ToS

[molten mason]

That's bannable here

[cobalt arch]

Can you link the kowalski book/notes?

[wanton dagger]

i see

[cobalt arch]

I found some online but I don't know if that is what you refer to

[drowsy nacelle]

good book

has a nice linear algebra review at the beginning too

[wanton dagger]

yeah

[drowsy nacelle]

this isnt a book rec but does anyone know which are good wired headphones in the $50-100 price range

usb or aux doesnt matter

[signal mountain]

for home or to travel with ?

[drowsy nacelle]

home, just to use with a desktop

[signal mountain]

hm not so sure in that case

ill give my travel rec tho bc like ... decent headphones on the go are decent generally too

[drowsy nacelle]

yeah

[signal mountain]

ath m50x second hand i think fits p nicely in that price range, and theyre kinda the go to for travel

[drowsy nacelle]

ty ill look into it

[signal mountain]

otherwise you probably cant go wrong with something from sennheiser

im sure there are many other options tho

happy hunting

[drowsy nacelle]

oh fair

i actually thought all their stuff was like

super expensive

but it seems like they have lower range models too

[signal mountain]

i believe they have more budget friendly options

yh

[drowsy nacelle]

yeah thx

i had some ancient logitech ones that broke so

lmfao

[modern ruin]

I have openback sennheisers that costed me about $50-100 iirc

I really can't remember what model, but they've served me extremely well, I've had them for years now

[proper quiver]

i recommend the count of monte cristo by alexandre dumas

[drowsy nacelle]

ty ill see if i can find it

[late plinth]

any recs for type theory and formal verification?

[remote sparrow]

#book-recommendations message

[trail hemlock]

samsom sr850s

i found em as a super budget option on some audiophile forum a few years ago

and they serve me well

default EQ sounds alright

low impedence

but they have been described as "thin" sounding, however this is difficult to notice most of the time

a little more expensive but still in budget is Sennheiser HD 280

[unkempt horizon]

CAN SOMEONE FIND ME A BOOK THAT TALKS ABOUT THIS FORMULA I NEED TO REFERNCE IT I CANT FIND IT ON ANY BOOK

SMOOTH COLORING ALGORITHM
OR NORMALIZED ITERATION COUNT
n+1-log2(log2(zn))

IT IS FOR THE MANDELBROT SET

[willow merlin]

I got the HD 599s

[willow merlin]

Exactly

[unkempt horizon]

WHY ARE U TALKING ABOUT HEADHPONES IN A BOOK RECOMMANDATION channel

[tidal jacinth]

https://nusmods.com/courses/MA1100/basic-discrete-mathematics

I am looking for a book more or less cover syllabus in this course

[late plinth]

thx will check it out

[normal crystal]

it says a book that course has used multiple times on the page you linked

[vocal owl]

u can try a book in measure theory or just ask anyone here, they can help

[native cradle]

I had sennhisers in the past, extremetly good

[drowsy nacelle]

thx for the responses @trail hemlock and @native cradle

looks like sennheiser is probably the move if i can find the ones in question

[trail hemlock]

who is this kid yapping about "MANDELBROT SETS"

[trail hemlock]

most def, sennheiser is awesome

ive been wanting HD650s

[drowsy nacelle]

i just saw that LMAO

[trail hemlock]

but then i check my balence and realize im broker than a joke

[drowsy nacelle]

Fr i ruined the whole channel

rip

[trail hemlock]

who gives a shit lol

headphones come with instruction manuals

[drowsy nacelle]

i initially thought that sennheiser models were all super expensive

[trail hemlock]

and thus we werent off topic

[drowsy nacelle]

Fr im using em to listen to math videos

[drowsy nacelle]

and this

doubly relevant

[trail hemlock]

i make do with my headphones for music

i have a NAS with so much vinyul rips

and foobar2k

dream is a nice audio setup but ehhh

subtle flex 🙏

[drowsy nacelle]

yeah i use airpods now but would rather have headphones for my pc

[drowsy nacelle]

LMAO

[trail hemlock]

snobby ass audiophiles hate on airpods

personally i like em. the sound nice and their battery lasts fuckin forever

[drowsy nacelle]

yeah tbf airpods are pretty good

although i think mine are fucked for some reason

the sound is super low

[trail hemlock]

ohh this happends to me a lot

[drowsy nacelle]

and i cant tell whether im going deaf, whether im just listening to quiet shit, or whether theres something up with the airpods

[trail hemlock]

dirt gets caught in the mesh

[drowsy nacelle]

unfortunately i already cleaned it out

and still have the problem

rip

[trail hemlock]

i just put a dot of water on the mesh

and use a toothpick to get all the stuff out

then paper towel to wipe off the stuff and its good as new

[drowsy nacelle]

could it still be dirty without it being visible?

cuz

it looks ok to me

like i just kind of scraped it out

[trail hemlock]

spoiler cuz its disgusting, but this works wonders...

[drowsy nacelle]

man i aint tryna eat my earwax

[trail hemlock]

we all must sacrafice for audio quality

[drowsy nacelle]

but im frustrated enough with it that i just might

[trail hemlock]

salute

[drowsy nacelle]

Youre right

[trail hemlock]

there is also the option of putting sticky gum on the mesg to get all the shit out, but i havent tested this

becuase my parents wont buy me gum 😔

[drowsy nacelle]

im probably not gonna mess with that

[trail hemlock]

thats for the best

[drowsy nacelle]

hmm

well hopefully something will work lmao

[trail hemlock]

https://www.reddit.com/r/airpods/comments/8respc/how_to_clean_and_care_for_your_airpods_compulsive/
anything in this thread will work

because of course sme redditor 6 years ago had the same exact problem as you

[drowsy nacelle]

lmfao ill check it out

[trail hemlock]

i just realized how off topic this is

😭

[drowsy nacelle]

hey the airpods read data from the device

[trail hemlock]

which is basically a book

good thinking

[unkempt horizon]

bro the only thing u can look here is headphones

[drowsy nacelle]

https://tenor.com/view/ok-and-meme-eating-crisps-gif-23266925

[tidal jacinth]

Headphone?

[molten mason]

Sounds like a good discussion for #chill or #serious-discussion

[trail hemlock]

no access

perm study

[molten mason]

Skill issue, not book recs issue

[drowsy nacelle]

LMAO

[tribal crow]

why not #bots?

[molten mason]

Perfect

[tribal crow]

my favourite channel

[drowsy nacelle]

bros calling me a bot

💀

[trail hemlock]

bros at the lowest! point in his life 😭

[gray gazelle]

@tribal crow

[tribal crow]

it is true though

[gray gazelle]

no access or no access

[gray gazelle]

i recommend you "in ear monitors" especially if you want a good quality sounds not some whacky shit, i have many of them..

[fierce hedge]

@trail hemlock Update: I got selected just waiting for the official email from them

[trail hemlock]

YAYYY

[ember widget]

why does spivak seem like calc 3 +

[trail hemlock]

Good JOBBB

[ember widget]

🤔

[tribal crow]

in what sense?

[ember widget]

in the sense that it has partial derivatives and stoke's theorem, unless im looking at the wrong thing

and uh

at least for me thats taught in multivariable

[tribal crow]

oh, you're looking at his Calculus on Manifolds

[ember widget]

oh

[tribal crow]

not his Calculus

[ember widget]

which one

[ember widget]

ahh

[ember widget]

wait is that calc 3 tho?

[tribal crow]

I guess you could say so

I've been reading the book myself

[ember widget]

kewl

[ember widget]

noice

is hard?

[tribal crow]

is terse for sure

exercises are good though

[ember widget]

☠️

i thought spivak was just 1 and 2

maybe apostle was sum like that idevk

gettin them all confuzzled

[molten mason]

Apostol is 1-3

[ember widget]

bruh

spivak looks like 1 and 2 and then another book on apparently 3

maybe i just made the "only calc 1" thing up

💀

[fierce hedge]

thanks

[native cradle]

This is more of a question on how to learn, but is it a bad idea to practice first, understand later?

[novel meteor]

Book recommendations

[tribal crow]

I don't think you can meaningfully distinguish the two

you can only understand by practicing

so to me, it makes little sense to say practice first, understand later

[native cradle]

I mean If I don't understand a proof, I just solve problems anyway

[tribal crow]

you're understanding by practicing!

[tribal crow]

ah, blackboxing?

I have mixed feelings about blackboxing, so it would be better to ask someone else

though this is also not the channel for that

#math-discussion or #serious-discussion are better

[native cradle]

yeah, what would the channel for that be

no access?

[tribal crow]

oh, you're studying

hm

[native cradle]

I could probably ask in a mixed use channel

[tribal crow]

you can ask in #advanced-lounge then

[native cradle]

yeah

thanks

[native cradle]

I mean I'm agaisn't it, but at times I get pretty desperate lol

[tribal crow]

mhm

[modern ruin]

sometimes u gotta

[tribal crow]

of course

[modern ruin]

not enough time in one's life to never do so :P

[tribal crow]

indeed

[gray gazelle]

what's no access?

what channel is what i mean..

[modern ruin]

it’s #advanced-lounge

[gray gazelle]

[lone orchid]

Can someone recommend me a good book on probability at college level?

I am taking up data science and ai course ...and the curriculum includes lots of probability and statistics..that's why

[modest path]

I only read a few pages of this book but some people say its good: probability an introduction by grimmett and welsh

[modest path]

If it is your first course in probability I think this book is fine

[glad elm]

Does anyone know a good book in which highschool geometry of the earth is treated?

(longitude and latitude calculations)

[uncut violet]

One solid textbook i know of : An introduction to Probability Theory and its Application - William Feller

It's a really comprehensive textbook usable from undergraduate to Postgraduate lvl

[lone orchid]

my freind suggested me ross..is it better?

[uncut violet]

Yeah, Ross is also a great book for starters, and in terms of learning curve it's slightly better than Feller. But Feller will definitely carry you longer i think

[lone orchid]

ohk

i will buy it

[uncut violet]

oh and i should tell you, Sheldon Ross like his other books place a great emphasis on solved examples, while Feller tends to explain things more and his books ( both vol.) feel like a treaty

[fading mortar]

What are some best textbooks for algebra 1 and 2

[solemn elm]

On calculus:

1. James Stewart Calculus
2. Larson

On Probability:

1. Bluman's elementary statistics
2. Sheldon's ross probability of engineers

On linear Algebra:

1. the book by howard anton (I don't remember)
2. Jim heffron
   On General mathematics for engineers
3. Kreyzig's Advanced engineering maths

[fading mortar]

Can I get some book recommendations too?
For algebra 1 and 2

[solemn elm]

What's the content of algebra 1 and 2

because I am not from the USA

[fading mortar]

It's okay

Im down to do anything

I already finished my course books here so.

[solemn elm]

Then you should be good

[fading mortar]

Basically anything under second year

Any good books under 12th

[solemn elm]

Well, at that age I didn't use math textbooks, I just solved homework from the assigned problem sheets. So, I can't recommend sth that I haven't really tried.

But I guess you could use Khan academy

[vital bane]

yooo lee just dropped a new book

[native cradle]

Is this a grad level topic?

[marsh ingot]

Oh?

This is nice for me

[vital bane]

indeed

[vital bane]

[native cradle]

Sounds really interesting though

[marsh ingot]

Hope he talk or mention about Kälher manifolds

[vital bane]

it is insanely interesting!

[vital bane]

kahler = hermitian + symplectic structure?

[marsh ingot]

I think so, Im not so much into it. I saw the complex struture one, I think the rest are compatible

[willow merlin]

hard linear algebra book? is hofmann kunze most rigurous?

[graceful moon]

"hardest" and "most rigurous" are hard things to define but HK is a solid book, I like it

[lavish stone]

i'm going through friedberg linear algebra and i think it's pretty rigorous

[gray gazelle]

Basic mathematics by serge lang

[remote sparrow]

https://stat110.net

[remote sparrow]

bro broke up with springer

[shy compass]

looks good

[trail hemlock]

it seems he does

[tribal crow]

ICM is downloadable already

it's been downloadable for 2 months or so

though uhhh, not legally

[trail hemlock]

i love anna and her archive

[tribal crow]

the library has its genesis too

[marsh ingot]

[native cradle]

what are the pre-requisites for manifold theory ?

[shy compass]

topology and multivariable calculus

[native cradle]

ah

going to be a while then . Thanks

[trail hemlock]

its very impressive

i mean what, thats highly illegal and terrible

[tribal crow]

missing a couple, but very impressive nonetheless

[shy compass]

you don't need much topology at all. really only the notions of open sets and hausdorff spaces. but mvc is a bit more non negotiable

[trail hemlock]

they have like

everything

[shy compass]

good luck !

[trail hemlock]

862.2 TB for BOOKS is unheard of

[native cradle]

I don't even know single variable calc beyond the regular highschool stuff lol

[native cradle]

thanks

[trail hemlock]

read spivak's calculus on manifolds for a gentle introduction

[remote vortex]

Yeah, imagine having so little.

[dim sierra]

LOL John Lee’s book is already on libgen

😂

these guys are heros

[tribal crow]

it's been there for 2 months now, though I would advise against naming specific shadow libraries here

[dim sierra]

oh I didn’t know

Wait was Lee’s book out for that long?

[tribal crow]

it's not even been published yet

[dim sierra]

wtf

did he put it there or smth lmao

[tribal crow]

but some people seem to have unofficially published it as soon as he announced it

[dim sierra]

LOL

[crude lava]

Does anyone have any good textbooks about Cellular Automatons and Emergent Properties?

[tawdry wigeon]

Yes, but that is a simplification, see: https://arxiv.org/abs/1404.7662

[rigid flint]

Are there any resources to start learning non-elementary integrals

[fresh skiff]

Axler (measure theory) has kinda unique style than other books like folland, schilling (iirc), and cohn

I wonder which one will be suitable for supplement for Axler

Here by supplement I mean a book that I can use for further details and explanation. Also some extra problem and examples

[remote vortex]

I recommend Folland.

[fresh skiff]

Idk why Folland seems me horrible like baby Rudin used to look like. But nowadays I enjoy struggling with his book. It isn't bad idea to try to read it (as supplement). I will read it along with Axler.

[remote vortex]

He is, which is why I recommend it as supplement to Axler

[trail hemlock]

that’s what she said 😔😔

[glad rampart]

i have finished pgte and am looking for another piece of extremely long webfiction

[remote sparrow]

https://www.royalroad.com/fiction/72771/depthless-hunger-underdog-strong-to-stronger

[glad rampart]

looks interesting

[uncut crater]

Wait till you read greub lol

[willow merlin]

i will read about it, thank u

[tawny copper]

written by husband and wife

[rotund cliff]

the psychology of persuasion

worth a read

trust

[vital bane]

ooh

[fierce hedge]

Btw is it just me or most links on the genesis have stopped working

[tribal crow]

let me check

[native cradle]

I was finally able to find a copy of spivak

[loud cradle]

nice!

[tribal crow]

they seem to work prefectly fine for me

[tribal crow]

[native cradle]

got it for 57USD too, so even better

[loud cradle]

you will get way more than 57 hours of joy/pain out of it

[narrow relic]

Do you have a book recommendation for that topic?

[fierce hedge]

Weird, for me none of the IPFS links work, only the GET link works

[tribal crow]

hey, it it works, it works right?

[fierce hedge]

Fair enough 😭

[fierce hedge]

Kowalski?

Oh it's that ETH guy

[modern ruin]

https://tenor.com/view/penguins-of-madagascar-skipper-kowalski-analysis-analysis-madagascar-gif-23546606

[native cradle]

just wanted to be sure before I place an order, Shifrin is good for multi var calc

right?

[remote sparrow]

yeah, but hubbard is really good too, and cheaper

https://www.matrixeditions.com/

[native cradle]

not available here

thanks

[remote sparrow]

all good

[shy compass]

for basic topology? mvc? or manifolds?

[narrow relic]

Manifolds.

[shy compass]

I learned with these lecture notes. not very verbose, but well-written with lots of examples

[narrow relic]

Thank you, I appreciate it!
My refs. for Topology and MVC are Gamelin and Greene Introduction to Topology and Wade's Introduction to Real Analysis respectively, do you have any thoughts on those or some suggestions for better stuff? 🙂

[shy compass]

maybe this is something other people could answer? I learned these things via lectures, I don't know what's up with the textbook scene

[narrow relic]

It's okay 🙂 Thank you!

[uncut crater]

Congratulations on your offer!

[tulip oar]

Any book recommendations for precalculus?

[gray gazelle]

basic mathematics by serge lang

[gray gazelle]

I recommend Mir Publisher books to everyone on this server, they are nice

[uncut violet]

Ffr Mir publisher books are goated, even the technical ones are decent to read

too bad hardcopies are hard to come by, it's either too expensive or no stocks

[native cradle]

What are some introductory books on probability

[gray gazelle]

Aops?

[native cradle]

Even for theory

At the undergraduate level

[gray gazelle]

well I'm no expert so i will not answer that..

ask Sour Drop for it

[gray gazelle]

I was able to buy the course in diff geo and topology by Mishchenko

[gray gazelle]

it really depends if it's still in the archive...

[fierce hedge]

Thanks

[past roost]

Guys, I just wanted to let everyone know, there is a website called google scholars where you can search for books and get a preview. Hope this helps

[native cradle]

Oh, you got into CMI? Congratulations!

[fierce hedge]

No no, ISI

[native cradle]

Oh

Cool

Masters or PhD?

[fierce hedge]

PhD in CS

[native cradle]

Awesome

[fierce hedge]

Thanks

[native cradle]

Just out of curiosity, does where I do my bsc matter if I want to study at ISI ( going to a tier 2 college)

[outer wing]

Congratulations

🎉🎉

[gray gazelle]

Congratulations!

[willow merlin]

Congrats

[analog lava]

do i need to like

read combinatorics on it's own to be able to understand the simplicial parts in AT?

[lime vessel]

No

[fierce hedge]

Thanks all ❤️

[uncut crater]

Not really

[fierce hedge]

They absolutely don't care. I forgot all my documents at home and they didn't care much, just had to write an application

[gray gazelle]

it actually depends if what college you're asking

[native cradle]

ISI

or CMI

[gray gazelle]

ISI?

well if it's in the US you're good

[native cradle]

Indian statistical Institute

[gray gazelle]

but if it's in third world country you're fucked

[gray gazelle]

i dont know

[native cradle]

I'm in the third world

[gray gazelle]

well actually India is very good

i think even most Indians get into US

check the rankings online

of the college

but it really doesn't depend much what college you're in

it's the hard work..

bruh

India is not a third world country

i was even shocked

for what you've said

India was classified as a 'Third World' country at the time of Independence from British rule in 1947. At that time, India's Gross Domestic Product was just 2.7 lakh crore, but now it has grown to $3.75 trillion. India, which is the world's 6th largest economy, is currently classified as a developing nation.

[native cradle]

I thought that was the standard defn, economically speaking, developing, yeah

[daring lake]

ISI and CMI are top institutes for math in India, so don't worry too much, many students from these places go to top universities for further studies, you can also find good jobs after BSc or MSc. I would recommend CMI over ISI though.

[daring lake]

They are low on rankings, but have exceptionally amazing faculty and research, they have very small intakes. For example, for MSc math in CMI, they take in only 7-8 every year

[gray gazelle]

here..

Well dw too much about it

after you're done with BSc you can transfer in your MSc

like in the US

especially waterloo

you’ll be like the guy who became the villain

check waterloo meme

[opal spear]

oh

[gray gazelle]

bro got it

[daring lake]

Well, I am from electrical engineering, so I am not aiming for math

[gray gazelle]

well EE math is also freaking hard broo

[daring lake]

I find myself doing more math than EE tbf

[gray gazelle]

well theory will only take you so far

[tulip hearth]

Any books recommended for vector and linear algebra practice?

[fierce hedge]

Any particular reason for that? I think they have pretty different specialities, in particular CMI is much more algebra pilled while ISI is more stats, tcs

[daring lake]

I am biased since I am close with deans from CMI

[daring lake]

Axler has many exercises (though most are easy)

[tulip hearth]

I also want to go to an ISI 🤔
But I got to know bout it too late—

[daring lake]

I am thinking of going for msc math after my ee, i realized i like math more a bit too late

[civic python]

It do be like that

[tulip hearth]

I just got some t3 clg confirmed for me rn, tho I can get t2 if I wait a bit although I can't trust CET cell at this point.

[civic python]

It takes time and maturity to start appreciating math

[daring lake]

true

[tulip hearth]

For me, I liked maths from my childhood. But the forced part made me hate studying in general. Now that all that "study hard for a good clg" is done, I'm back to liking math.

[civic python]

Oh, what does clg refer to?

[tulip hearth]

College

[civic python]

I sort of did not like math. Then i realized how useful it is in game development. But only after i read a book on how to write proofs did i really get a taste of it.

oh. What does tier 3 refer to? top 3 ranking?

[tulip hearth]

Also the teachers man...
School maths teachers had been my personality development material from a young age.

[tulip hearth]

No. It's like, bad clg kinda stuff.

Google says that clg is tire3

[civic python]

Not entirely sure what you mean

[tulip hearth]

Want me to trauma dump or something?

[civic python]

nono

Have you read Locharts lament?

[tulip hearth]

Never heard of it.
I just passed out of hs and going to start clg

[civic python]

I highly recommend. https://worrydream.com/refs/Lockhart_2002_-_A_Mathematician's_Lament.pdf Its on the topic of "modern" math education.

[tulip hearth]

It has soo much writing, it doesn't even feel like a maths book >->

[tulip hearth]

I'll give it a read.

[native cradle]

that's what a number theory book is like

[civic python]

Its not a math book per say. Its about one particular guy lamenting over the state of math education.

[tulip hearth]

I found this post recommending to complete Problem Solving Strategies by Arthur [sometimes] if u want to go to ISI or CMI
So I was trying that rn

[tulip hearth]

Dem... One page in and I can already relate.
I was forced to learn music.

[daring lake]

well they ask rudin level problems in their exams

[tulip hearth]

I've 4-5 years before I go for their exam then ig (I dunno what lvl that is)

[vital bane]

Lol what kinda number theory books are you reading?

[native cradle]

david M burton

Elementary NT

[uncut crater]

TIFR is kinda better than CMI for an MSc

Mostly because I'm heavily biased towards alg geom

[tulip hearth]

And now I feel like doing trauma dumping (lite)...
In 6th grade, my maths teacher tore my copy cause I did the maths homework too soon—
Ironically, it was raining outside, and she threw it out the window...
I vowed to never do homework again.

[woven panther]

Hii I am newbie at this server

[sudden cosmos]

Arc of a Scythe is an amazing read

[queen rain]

any good books for algebra and pre-calculus?

[stuck zephyr]

welcome new here, don't forget to read #rules and #info for some stuff

[stuck zephyr]

you could use your textbook or just khan academy

[queen rain]

wheres the textbook?

is khan academy in its own good?

i wanted to go deeper

[stuck zephyr]

khan academy is better than reading a book for these topics

also i dont remember any book name give me a bit

[stuck zephyr]

look up for openstax.com

it has some books on something you want

[queen rain]

free?

[stuck zephyr]

ye

[lethal bronze]

khanacademy is good as a starting point

you can get the exposure to the topic

then later you can read the book and you can learn more from it

[gray gazelle]

yea

but it actually depends on your learning style

[remote sparrow]

https://stat110.net

[gray gazelle]

Sour Drop to the rescue

[visual sedge]

anyone know a good book that includes character varieties?

[sage python]

Okay so I've been meaning to learn about the stuff

When I visited a friend who was taking a class on that and similar such things, the lecture that day was on character varieties, and the prof told me when I asked that the source was "Varieties of group representations and splittings of 3-manifolds" by Culler and Shalen

[visual sedge]

okay i'll check that out thank you

[maiden glen]

good introductory complex analysis books?

[foggy quest]

https://mtaylor.web.unc.edu/notes/complex-analysis-course/

[remote sparrow]

#book-recommendations message

[foggy quest]

https://mtaylor.web.unc.edu/notes/linear-algebra-notes/

[fresh skiff]

@foggy quest
Recently I found that Taylor has a book on measure theory too

[trail hemlock]

YESS THIS IS A GREAT READ

[foggy quest]

It's not that good; though some parts are good

[abstract sedge]

I'm wanting to get a solid foundation in discrete/fast Fourier transforms. I have an undergrad math background with a pretty heavy focus on combinatorics, so while I have basic differential/integral calculus (including multivariate), I'm pretty week on analysis overall. I've seen https://press.princeton.edu/books/hardcover/9780691113845/fourier-analysis recommended, wondered if folks had opinions/feedback on what background I might need for it or other texts I should look at.

[glad elm]

Bro is secretly M Taylor...

I see through your exquisitely chosen pfp....

[north summit]

Paper and print quality is pretty good

[foggy quest]

If I recall, they don't use measure theory in their treatment. To state the results in the full generality, you need measure theory. In contrast, to learn the DFT, you don't need to know any calculus at all. DFT is pure linear algebra until you actually need to apply it to continuous time signals.

[abstract sedge]

I'd like to have a high-level understanding of the derivation and meaning of the DFTs (the "why"), but it doesn't need to be a full, rigorous accounting, so that sounds okay to me.

[molten mason]

I like this textbook

https://link.springer.com/book/10.1007/978-1-4020-6629-0

[queen rain]

anyone have an physics book that i can learn without trigonometry, or without experience in any other mathematics field? i know geometry and some algebra, but not trigonometry for basic physics, and the summer is coming and i wanna start physics, not learn the other things just to start it yk?

[drowsy nacelle]

there's no way around learning trig but it shouldn't take much time to get acquainted with the basics

[queen rain]

do i learn from khan academy?

[drowsy nacelle]

yeah khan is fine

its not like you cant learn any physics in the meantime but like

its gonna pop up pretty much immediately

[queen rain]

but like, i still havent finished the algebra khan academy one, and i tried to took an test from the final chapter on the algebra, and it was kinda difficult

[drowsy nacelle]

so you are gonna want to know what sin cos and tan are and how to solve triangles and stuff at the very least

[queen rain]

oh

do i gotta learn all of algebra to learn advanced or basic physics?

[drowsy nacelle]

nah

i mean learn it yes cause itll make you better but if your question is about starting then no

[queen rain]

i do need calculus for advanced right?

[drowsy nacelle]

yeah

but there are things you can learn in the meantime

you shouldn't view it as like, having to finish 100% of some course then move onto the next or something like that

[queen rain]

oh

so i learn basic algebra on khan academy, then geometry course, and then trigonometry, then i can learn some physics?

and when i wanna move on to the advanced area, i learn calculus and pre-calculus right?

can i learn atleast the most important parts of physics and algebra and calculus with only khan academy or is an book an good thing to help me master it?

[drowsy nacelle]

well idk exactly what you know rn, but if you learn basic trig you can just do this stuff concurrently with the highschool physics (non-calc)

[queen rain]

because i prefer reading then watching classes tbh

[queen rain]

oh