book-recommendations

[gray gazelle]

Spivak's Calculus

[narrow echo]

atiyah or spivak?

[floral lichen]

Anyone know any good books focusing on either trigonometry or dynamics ?

[floral lichen]

fluid dynamics
though now that I think abt it, I probably should ask for reccs somewhere else XD

[torn idol]

#bots

[brittle marsh]

What books are best for a first course in algebraic topology?

[glossy grove]

I don't know if it's any good, but the back pages of Munkres' cover some algebraic topology.

[gray gazelle]

hatcher

[brittle marsh]

oof I've heard it isn't the greatest

[brittle marsh]

alright thanks

[steel viper]

hatcher + bredon

[brittle marsh]

thanks, does hatcher or brendon assume category theory?

[gray gazelle]

no

[brittle marsh]

alright thanks a lot

[steel viper]

you probably want to learn some

but like

i mean the cat theory you need for intro AT is very very like

[willow pecan]

Moth hsct

[steel viper]

intuitive i guess

im not!!

[brittle marsh]

yeah I have read some basic category theory unpto the definition of natural transformations, would that be just fine?

[steel viper]

yea

i mean u can honestly intuit ur way through it

[gray gazelle]

moth

hsca

[steel viper]

what does that even mean!!

[gray gazelle]

commutative algebraist

[willow pecan]

High school commutative algebraist

Obvs

[karmic thorn]

Oh, I thought complex analyst

[gray gazelle]

moth "how do i prove R[X]/p is integral" in shambles

[brittle marsh]

middle school commutative algebraists

[gray gazelle]

he is one

[static crest]

kindergarten category theorist when

kgct

[brittle marsh]

pre school k theorist

pskt

[static crest]

unborn category theorist

ubct

[brittle marsh]

recently conceived knot theorist

rckt

[storm harness]

What books were you people discussing to get here

[karmic thorn]

AT

[storm harness]

[shy helm]

https://www.bol.com/nl/p/college-algebra-and-trigonometry-global-edition/9200000053992927/?bltgh=kFbUIwmZhcqo8QMwkLNH-A.2_9.11.ProductTitle
Do you guys think this would be a decent book to use as someone that has little to none algebra knowledge?

[maiden notch]

can you solve x² + 2x + 1?

[frank matrix]

For the roots?

They are non-real

No

[maiden notch]

uh

aren't the roots (-1) and (-1)?

yeah well

[gray gazelle]

i cannot solve

[brittle marsh]

mwf you are a topologist so you don't care about polynomials 😎

[molten wave]

zariski says otherwis

[brittle marsh]

I mean being a chad general topologist vs cringe [anything but general topologist]

[molten wave]

general topology is solved

unless you're neck deep in transfinite combinatorics and whatnot

[brittle marsh]

we're going into the deep dark depths of open problems in general topology

[karmic thorn]

Transfinite combinatorics

[brittle marsh]

here, you will see things that make no sense to the logical mind

they only make sense to one who is used to... the topology zone

[molten wave]

[brittle marsh]

https://staff.fnwi.uva.nl/j.vanmill/papers/papers1990/opit.pdf

look at this beauty

a survey of open problems in topology 🤤

"Oh you're a mathematican at MIT? What do you research"
"Point set topology"

that would be very embarassing I imagine

you go through your whole life as a prodigy

[molten wave]

[brittle marsh]

and end up researching point set topology

[molten wave]

this is essentially all foundations tier now

geometers have moved on from point-set

sheaves and locales go brr

[gray gazelle]

[sage python]

Just do number theory and combinatorics and analysis and representation theory and topology and...

[steel viper]

: (

wait what was the context here

what is p

[gray gazelle]

i misremembered

you wanted to prove p[x] is prime if p is prime

[steel viper]

oh yes

4head moment

[steel viper]

is chapter 4 of AM (the one on primary decomposition) worth reading? AM says the technique is somewhat outdated compared to localization and i think other people have told me to skip it before

actually

@crimson pagoda

gabe

[crimson pagoda]

no

[steel viper]

ok then

[gusty temple]

Please recommend a good statistic book or a list of books.

[wide meteor]

what kinda stats

[gusty temple]

I am stuck with Markov chain problems and whenever i look it up i get research papers

I just want to learn state transition problems

@wide meteor I work for various websites that provide solutions to students

So i need to constantly upgrade my knowledge

[wide meteor]

https://www.cambridge.org/core/books/markov-chains/A3F966B10633A32C8F06F37158031739

does that cover what you need

[gusty temple]

Do i need to buy it?

[wide meteor]

you could

or just pirate it from another website

[gusty temple]

@wide meteor ok

Do you know any such webistes where i can get the book

I am not a student i need a lot of data for my job so i read a lot

@wide meteor Thank you so much

[calm crane]

it's kinda neat tbh

it feels like

that FG module thingy

but on steroids

[gusty temple]

@gray gazelle ok will look it up

[calm crane]

as for if it is useful eh

you dont actually use it apart from a couple exercises regarding primary decomposition later soz

[dapper root]

Primary decomposition kind of blows. But it was used in the proof of Krull-Akizuki in Matsumura so you’re required to learn it

[coral birch]

Does anyone know a good book explaining the math for 3D graphics?

[static crest]

any linear algebra textbook I suppose

[karmic thorn]

I think there's some more stuff to it

@coral birch These are the recommended readings for the CG course at my uni

I'm not sure if they're good but hopefully searching for them would turn up related results on Amazon.

[analog pollen]

Yeah but he could also mean multivariable Calc

[static crest]

that's just a corollary of linear algebra

[analog pollen]

Yeah idk maybe he would then buy a ordinary linear algebra book and he wouldn’t get what he wants lol

[manic fox]

[coral birch]

thank you

[analog pollen]

Is Stewarts good for self study?

His Calc book

??

[manic fox]

idk, you can do better

there isn't much to calc and iirc this book is like 600 pages long

[hasty turret]

Just use Wikipedia vro

[manic fox]

i mean just use paul's online notes

plus its probably expensive if u decide to buy it irl

[hasty turret]

Ok,can someone do a TL;DR for single var calc

[manic fox]

paul's online notes has it

[hasty turret]

You have rolle's theorem->mean value Theorem

and then fundamental theorems of calc

[manic fox]

yes

[hasty turret]

Is there anything else?

[gray gazelle]

taylor's theorem

[hasty turret]

Yea,did that

[mossy flume]

I have a probability final in 45 minutes can someone give me a TLDR

[hasty turret]

Bayes Theorem

Combinatorics

TL;DR: done

[mossy flume]

lol

Oh distributions

[hasty turret]

Yea that too

[undone pine]

is there any book on group theory which describes in particular morphisms constructions? (semi direct product and so on)

[whole rain]

Hey !

Check out scratchapixel's website

https://www.scratchapixel.com/

[whole rain]

pretty much any not totally beginner oriented group theory book ?

Like I guess rotman's group theory book speaks about it

[undone pine]

Alright, I'll check it, thank you 🙂

[whole rain]

[storm sleet]

Rotman is a nice book for a second course in group theory imo

I enjoy it

[gray gazelle]

those books are outdated

[tranquil radish]

This summer I'm going to actually read and study my Differential Equations textbook. This is a course I have already passed but I wasn't given enough time to truly digest anything. Since then I have had to use a lot of its applications as a biological systems engineering major and want to gain a deeper understanding of this subject to apply it in my future work.
I'm really excited about this! Does anyone want to start a book club of some sorts? I will be reading Differential Equations with Boundary-Value Problems 9th edition, by Dennis Zill. If you're interested feel free to shoot me a dm or even reply to this message

[tranquil radish]

I am opening up the floor for to any STEM related book! If you want to join a book club that will keep you consistent with studying a new textbook this summer lmk. I will prepare general questions every week for everyone and since people will be exploring their own passions I expect there will be a lot of bunny trails and off topic discussions so feel free to work at your own pace.

[willow pecan]

I don't think I can join but I wanted to say that this sounds like a really nice idea and that people exploring things on their own time is very good and that doing it with other people is good for accountability

[gray gazelle]

I don't like being held accountable 😦

I am organizing an Evans pde reading club. Meeting place: #advanced-analysis , meeting times: whenever you want, pace: whatever you want, warning: no guarantee I or anyone else will respond to you

[willow pecan]

[karmic thorn]

I'm taking a differential equations class right now, it would be really nice to get to study with someone. If you start a book club/reading group or sth along those lines, please let me know! (Zill's book is also one of the recommended readings for my course so it should work for me)

[gray gazelle]

ODEs

a lot of differential geometry depends on ODEs

vector fields have flows precisely because of ODE theorems

important!

[tranquil radish]

Heck yeah, I'm happy I found someone who wants to read this book with me. The club that I've been assembling has an eclectic mix so far. I figured it will be hard to get more people on board with Diff Eq specifically so I opened the book club to anyone who is reading a STEM related book this summer. I hope this doesn't bother you, but If you are interested in only doing a book club specifically for Diff Eq's I'm willing to dedicate time to that group and a Diff Eq specific group too.

[karmic thorn]

I think an overall mix is okay haha.

[gray gazelle]

[karmic thorn]

I will eventually be taking a dynamical systems class too

[manic fox]

[gray gazelle]

banach fixed point theorem

more like

[karmic thorn]

You should see Arnold's book!

[gray gazelle]

ultra sully's me because i'm right

proof theorem

ok, i will go read the first 5 oages

right now

on stream

[karmic thorn]

I read the preface and first 3 pages 😌

[gray gazelle]

wait nvm streaming will kill my laptop

is this the same arnold infamous for arnold's limit?

[dense pewter]

I think so

[gray gazelle]

i see

[fast mauve]

[gray gazelle]

who tf is yau

[hasty eagle]

Wolfram Alpha doesn't understand your query!
Perhaps try rephrasing your question?
Click here to refine your query online

Requested by slimvesus#9286

[gray gazelle]

[dense pewter]

Is there some tterra physics arc thats happening

[gray gazelle]

ttera is a physicist

[hasty turret]

ttera math phys moment

[gray gazelle]

that's in the lore by now

[manic fox]

tterra is many things

[gray gazelle]

a fox too

[manic fox]

fox

tterra is not a fox.

he is a fax

📠

[dense pewter]

Thats my faxsona

[gray gazelle]

ttera is a horrible human being and average physicist

[hasty turret]

You just ruined legosi's legacy

[gray gazelle]

why

[manic fox]

yes

chad

[gray gazelle]

agreed

is 1st better or something

wait is the 3rd not better than the 1st

lmao

maybe the translation isn't good

[manic fox]

tfw book is bhendchod

[gray gazelle]

the accepted answer brings me pain, i liked that book LOL

i own a copy of it

[manic fox]

tfw book is madarchod

[gray gazelle]

,w madarchod

[hasty eagle]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by TTerra#5291

[karmic thorn]

[manic fox]

lmao

tterra cringe arc

[gray gazelle]

i hail from madracos

cue ukulele music

i will say though

that book that the accepted answerer mentions

does lack in some aspects

[karmic thorn]

I like that the premise is shitting on Tenenbaum

[gray gazelle]

based

that would make more sense tbh

like how do you fuck up a classic after 2 editions

[karmic thorn]

Yes

I think I've read that elsewhere as well

The one with Devaney as co-author is a bit watered down

[gray gazelle]

man sounds lit

it's being hyped too much

ttera can't do math only physics

i just wanted to do lagrangian mechanics

but i forgot multivariable calc as quickly as i learned it

sigh

[manic fox]

[hasty turret]

Do com

You won't forget multivar calc

[gray gazelle]

$$\nabla \cdot X = *d\iota_XdV$$

[hasty eagle]

狼人

[gray gazelle]

ez divergence

u cannot forget this

com?

calculus on manifolds

by spivak

$\nabla f = (df)^\sharp$

[hasty eagle]

狼人

[gray gazelle]

the best way to learn multivariable calculus would be to come to uoft in the past and take it with the prof i took it with

i wish ttera

[dense pewter]

What about learning it from me

[gray gazelle]

i wish i could attend good uni's abroad

[dense pewter]

[gray gazelle]

will u teach me the morse lemma in calc 3

anywhere for the love of god

[dense pewter]

No

But i wish i could

[gray gazelle]

bunco what's your hourly rate

[dense pewter]

Depends

Anywhere from free to a lot depending on how i feel about you and what the content is ;P

[gray gazelle]

teach highschoolers your thesis in vc

[dense pewter]

Lol

Ill teach you my thesis in vc

[gray gazelle]

[hasty turret]

What's your thesis about

[dense pewter]

Math

[hasty turret]

[dense pewter]

Algebraic number theory

[gray gazelle]

buncho i hate teachers but i like good teachers

are you one?

[dense pewter]

I won a teaching award last year

[gray gazelle]

let's build up to understanding perfectoid spaces

weeewwww

now that's accountability

[dense pewter]

Voted on by the students 😎

[gray gazelle]

can you teach me stacks, sheaves, descent, and grothendieck topologies? i want to be able to say i have a pretty good understanding of them without having taken ag

[dense pewter]

Perfectoid spaces will take some time

[hasty turret]

What's a teacher's job supposed to be? If the student could just read the textbook and learn, how would a teacher help?

[dense pewter]

Hahaha tterra

Is that a negi reference?

[gray gazelle]

buncho bananas nlab arc

the one and only

idek normal algebra

[dense pewter]

Hahahaha

[gray gazelle]

and i don't know what to learn with the time i get which is pitifully low

i just wanna do algebraic geo after seeing the hype it gets

the phase space of a system of n rigid bodies has dimension 12n

[dense pewter]

AG is hard and maybe overhyped tbh

[hasty turret]

Prove that if you have a set with an operation (G,•) and ab=ac implies b=c and ba=ca implies c=b for all a,then (G,•) is a group

[dense pewter]

That’s not true though

[gray gazelle]

that's a clunky statement

i don't remember the group axioms either

i am a menace to the math community

[dense pewter]

Z \ {0} with multiplication satisfies that condition

[hasty turret]

Ok,• is associative

[dense pewter]

But is not a group

[manic fox]

yeah right cancellitive \neq inverses

[dense pewter]

Associative isnt the problem

[manic fox]

Plus you haven't even shown the set is nonempty

[dense pewter]

Tru

[manic fox]

i.e. that the identity is in G

[dense pewter]

So yeah this statement reallt isnt close to being true

[gray gazelle]

oh wait you mean a.b=a.c implies b=c?

[dense pewter]

You just gave the axioms for a cancellative magma

Not a group

[gray gazelle]

i mean i think i can learn this much in 2 hours lmao

[hasty turret]

Ok,I remember a condition along those lines

Maybe if I add one more condition it becomes true

[dense pewter]

Gl figuring it out, im going to bed

[gray gazelle]

no buncho you have to teach me

we haven't even decided the rates

[hasty turret]

Ok, this is what I am referring to

[manic fox]

creamy shits

[gray gazelle]

poor creamy shits

don't even know what he did wrong

[flat ocean]

j

[clear sail]

a good concise text on probability theory?

[gray gazelle]

how to learn probability theory: take a measure theory book, and add "mu(X)=1" everywhere, cross out "almost everywhere" to "almost surely", and "convergence in measure" to "convergence in probability", and now read the book

[vapid scroll]

what about connections been PDFs and MDFs

also what is concise

[karmic thorn]

Succinct/to the point, not unnecessarily lengthy

[vapid scroll]

bell curve.

or modern approach to probability theory by someone

my roomate used it as supplement in his class

[clear sail]

lol thanks, why everyone sully the book

oh shit nvm

sully

[hidden herald]

i never knew what sully was until quite recently

[narrow talon]

@clear sail probability with or without measure theory?

[clear sail]

without

[warm glen]

if im looking to refresh my high school geometry and trig for the putnam, is khan academy enough for this or should i use a particular book(s)?

[hasty turret]

Khan academy is definitely not enough

[gray gazelle]

maybe you can practice some olympiad geometry problems. but i don't think there are many geometry problems on putnam in the first place

[narrow talon]

Are you comfortable with real analysis?

[clear sail]

not rly,

[clear sail]

i havent covered formally integral derivatives, and stuff, only learned sequence/series and up to compact metric spaces

[narrow talon]

Ehh, Ross maybe?

[clear sail]

compactness and continuity and blah

nah I used rudin but it was only a first course in quarter system

[gray gazelle]

Check out Shiryaev's probability book.

[narrow talon]

The book that I like for non measure theoretic probability is Severini Elements of Distribution Theory. A handful of chapters (I can look again and say exactly which ones) is more than sufficient. But it’s very challenging, you may be fine since I don’t think much formal integration/differentiation is done though

[narrow talon]

This is another popular choice, though I have not read any of it so I couldn’t say

[gray gazelle]

I enjoyed it, it talks about measure theory to build integrals later on in the book.

[clear sail]

thanks, ill take alook at both

[gray gazelle]

Any books/papers about Burnside's Lemma and stuff related to it?

[gray gazelle]

Why are physical books so expensive 😤😤😤

[willow pecan]

Because academic publishing is a scam

[manic fox]

lol

[glad prairie]

reminder to never use funds that your school provides you for books

to always recommend students pirate their texts if you're teaching them

to always post on arxiv

etc

[hollow peak]

I mean, if the school gives me free money I am sure as fuck buying a math book

otherwise it would be stupid to spend 70$ of my own money on a snazzy hardcover

[static crest]

I would refuse to pay for textbooks out of principal

fuck publishers

if I could give $70 directly into the authors' hands to obtain a snazzy hardcover, I'd do it

[broken meadow]

autographed copy

😌

[gray gazelle]

Yes but

My eyes

They burn

[manic fox]

good

[glad prairie]

do what you want, but i'd rather spend a fraction of that 70 dollars on printing and not give a penny to a publishing company

also like

i don't mind the pdf either

[gray gazelle]

It’s so hard to get a decent print though

[glad prairie]

but i know some people do

[gray gazelle]

Surely there is a “no questions asked” print on demand service

That can do decent hard binding

[static crest]

based

[static crest]

I actually like pdfs better to use

having a physical copy feels nicer

but for actual use, pdfs seem so much more useful

[hollow peak]

I like to turn off all my electronics and read every once in a while though

clears any distractions and it's nice to just read from a book

[static crest]

I don't think I can actually do work without my computer

like it's just too useful

so having a pdf just makes it nice to have everything in one place

[steel viper]

if i was going to take notes id want my PC

or writing up problems

but i think if im just reading its fine

[static crest]

I don't think I ever just sit and read a textbook

I'd be taking notes or looking things up or coming up with small examples and checking them in wolfram or something

at the same time

[unique hearth]

Has anyone read one Two three infinity by George gamow? If yes , how is it? Is it recommended? I am in 9th grade by the way

[steel viper]

examples that can be checked on wolfram

smh

[static crest]

"or"

[steel viper]

i just try to prove the thms in my head

[gray gazelle]

There is this book ive been reading

Infinite powers

By steven strogatz

I quite like it

[unique hearth]

Can it be read by like... 9th grader?

[gray gazelle]

Yeah

[unique hearth]

Thnx bro

[gray gazelle]

Got ya

[unique hearth]

Even if I don't know a thing about calculus ?

Can I still read it?

@gray gazelle ?

[gray gazelle]

Yes

They explain concepts

And other stuff

[unique hearth]

Wow gr8.... thanks again bro

[gray gazelle]

It will show the progression of mathematics and how infinity was always there

Because of the methods they used in ancient greece

Like the exhaustion method and other stuff

[unique hearth]

So I'll be able to 'learn' a little calculus on the way?

[daring reef]

whats a good first book in abstract algebra?

[static crest]

dummit and foote

if you can't work through d&f, then you're probably not ready to self learn abstract algebra, it's really easy to read

it does have a downside

of also being really boring to read

which many people dislike

[daring reef]

is it like the rudin of aa

[static crest]

try it out maybe, see if it's not too boring for you

[daring reef]

ok i will thanks

[steel viper]

no they are very different stylistically

rudin is quite terse

d&f is not at all

[daring reef]

oh yeah i did notice it has 900 pages lol

[manic fox]

d&f and rudin are quite similar

they're both dogshit

[daring reef]

lmao any other recommendations

[gray gazelle]

Biggest recommendations is doing as many exercises as you can

[supple loom]

Lang ?

[gray gazelle]

Even looking at the exercises before you start to read the chapter is a good idea

[supple loom]

a lot of courses use Artin but I'm not a big fan of it I guess

[gray gazelle]

This looks decent

http://www.csun.edu/~asethura/GIAAFILES/GIAAV2.0-B/GIAAV2.0-B.pdf

[whole rain]

Rotman ! @daring reef

[daring reef]

colors!

[static crest]

the back 300 pages are not useful, and no one reads them, it's essentially a 600 page textbook

still a lot

but not as bad as 900

[whole rain]

d&f sucks

[dapper root]

Wdym no one reads the last 300 pages

Isn’t rep theory in there

[manic fox]

inb4 rotman recommendation

[whole rain]

you're late

[static crest]

are you telling me people fucking learn rep theory from d&f

[daring reef]

thanks i will check it out

[dapper root]

Yes

[static crest]

doubts

[dapper root]

I know multiple people who have

[whole rain]

#book-recommendations message

[dapper root]

Me included

[whole rain]

[dapper root]

This guy

[manic fox]

[static crest]

you learned rep theory from d&f?

I didn't even know you used d&f

[gray gazelle]

Don’t be afraid about learning from “easier” sources also

The main thing is doing exercises

[daring reef]

also is it a dumb idea to self study this before taking an actual course? I was going to take the algebra classes next year but i also thought i might go through some stuff during summer

[gray gazelle]

Nope not a dumb idea at all

In fact it can be a very good idea

So long as you do exercises

[daring reef]

noted lol

[gray gazelle]

So many people ruin themselves just by reading definitions

Turn themselves into sciolists

[manic fox]

socialists?

socialism is when you skim the definitions in lang

[daring reef]

tfw you read marx but dont do the exercises

[manic fox]

Communism is when you just read the book intro

[daring reef]

lmfao

[gray gazelle]

Really is nothing worse that someone who rattles off definitions thinking they are smart

[manic fox]

categories for the working mathematician

[gray gazelle]

Categories or working mathematicians

[whole rain]

lmfao this discussion is killing me

[manic fox]

[gray gazelle]

Just to be sure

[manic fox]

[gray gazelle]

sciolist was not a typo

I am not some whack

[static crest]

no, you can easily self learn it, and in fact I self learned almost all the algebra I know, but you have to do the exercises (as lime_soup said), even if the theorems and definitions mostly seem easy

[gray gazelle]

But also just be sure to understand if you don’t get it easily that’s find

[static crest]

yes

[gray gazelle]

Learning to learn on your own is a skill

[daring reef]

from first glance rotman seems more fun for self study bc it seems a bit less dry but thats only after skimming the first chapter of each

[static crest]

ya, basically every algebra textbook

will be less dry

than d&f

d&f exposition is kinda really boring, and I say that as a fan of it

it's extremely thorough and easy to understand

but boring

I mostly like d&f because I find it has the best exercises

[manic fox]

i've been taking a break from algebra

[daring reef]

do yall do exercises from top to bottom

or pick some

[gray gazelle]

Eventually you’ll learn to see how to pick some

I think a good idea is to do the first few

Try some of the later ones

Read the next chapter

Go back and do some more of the harder ones

[steel viper]

it depends on the book

a few are clearly designed for every exercise to be done

[manic fox]

like if you have 8 exercises

then yeah do them all lol

but it there are a lot then pick and choose

[static crest]

I usually only do the exercises which I can't figure out the steps to solving in like 10 seconds of reading the exercise

but sometimes I do every exercise

because I'm cracked (not in a good way)

[daring reef]

hmm ok, makes sense

[static crest]

to add to this, sometimes I still do these kinds of exercises

since it's nice to be able to do some exercises which seem easy and are tedious

for practice

[daring reef]

yeah i think i'll do something like lime soup said, just do the first few and then pick and choose from the later ones

[manic fox]

cracked poros 2017 free copy 100% legit method

[daring reef]

I just learned galois died at 20 y/o 😳

and has a whole field named after him

[static crest]

he died simping

tragic story

could've done so much more in math, but instead he was an edgy teen who died in some duel over some girl

[storm sleet]

ESPECIALLY when they get to modules

Exposition on modules in B&F felt so unenthusiastic

[broken meadow]

bummit and foote

[static crest]

I liked the modules section of d&f

then again, I don't really care that it's dry

I just needed it to be easy to understand

for my pea brain

and I liked the exercises

[storm sleet]

I mean fair. I'm attempting to learn through Atiyah and Macdonald sooo

I'm going to die

[static crest]

A-M

good luck

[storm sleet]

My next term in algebra will also be about module theory, so at least I'll have an intro

[static crest]

module theory is really fun

I really enjoyed it from d&f

[storm sleet]

I need to mostly to study AG

[static crest]

AG

have fun suffering through hartshorne

some day

[gray gazelle]

This you realllly have to do the exercises

[storm sleet]

I'm starting with Shafaravich to at least get my footing

[static crest]

well that's because half the exposition of A-M is covered through the exercises

(according to chmonkey)

[gray gazelle]

Yeah

[storm sleet]

Honestly, I kinda like the approach bc then I have to learn and motivate myself

[gray gazelle]

There are whole sections just in exercises

[static crest]

self learning AG arc

[storm sleet]

Look English is my first language, and I can barely spell 90% of words in it. Foreign names are off the table

I also literally went to check the book to make sure I spelled it right

[gray gazelle]

If anyone is reading hartshorne over the summer @lyric girder

Oops sorry whoever that is

[storm sleet]

You reading it this summer then?

[gray gazelle]

That’s the plan

[storm sleet]

I would like to but I'm woefully unprepared

one of the discords I'm one has a role for that that just pings the admins

so admins know if you're trying to be a dick

[static crest]

dont think a summer is gonna be enough

[storm sleet]

Maybe Ch 1+2 in a summer

[gray gazelle]

Oh yeah

What is the canonical laugh react here

[storm sleet]

Either or something like

[gray gazelle]

Okay I always thought was sarcastic

[storm sleet]

it can be

[gray gazelle]

Would be nice to be able

Reacc to reacts

[storm sleet]

Recursive reacts

[gray gazelle]

Would be nice to implement I react based social ranking system

[storm sleet]

You get honorable after you enough people

[static crest]

there already is a social ranking system to get honorable

you have to be gay to get honorable

otherwise you don't get honorable

[storm sleet]

Are there any other steps?

Or is it a one way ticket

[static crest]

be active and be gay

that's about it

[storm sleet]

Shit time to do part 1

ugh

Too much work

Maybe once I'm good at math I can talk more lmao

[manic fox]

honorable is like a

badge of shame

[storm sleet]

Spoken like someone who isn't honorable

also, weren't you like a "very active" like last week?

[broken meadow]

new account

dwai

[marble solar]

I'll be teaching linear algebra from uhh david lay, steven lay, and judi mcdonald's text

I didn't have any choice in the book

Just kinda forced it upon me

[warm glen]

isn't that book pretty good though

[whole rain]

I'm more active than @manic fox

[manic fox]

this is not a thing to be proud about

[whole rain]

also to comment on what was discussion above

I usually do all the exercises, no matter how many there are

but I do the exercises I can do in my head in my head

(I.e the easy routine exercises)

[manic fox]

yea

[whole rain]

sometimes it takes time though

Like I'm still on the first chapter of roman 'cause I'm struggling with one particular exercise that I really want to solve

[manic fox]

happens

im on a funky exercise too rn

Tfw you have to read more about algebra to answer a question about point set topology

[marble solar]

It's ok

I haven't taught yet

[hearty steppe]

Wdym

[mystic yacht]

Please recommend me a book on Multi-variable Calculus

[hollow peak]

i thought lang was okay if not a bit chatty and weirdly presented

recommend? I've seen people who really like folland advanced calculus

[gray gazelle]

folland: advanced calculus
spivak: calculus on manifolds
munkres: analysis on manifolds

[hearty steppe]

I think he wants like a basic Calc 3 text lol

[gray gazelle]

those are basic calc 3 texts

oh also ive heard good things about hubbard and hubbard

Guys recommend me some good college algebra books

what do you mean by college algebra?

group/ring/module/field theory? or more basic content

Basic

I am in high school final year

I am trying to lay a good foundation for things like Calculus

[clear sail]

this a good text to start functional analysis?

[hearty steppe]

😆

Has to be the most innocent reply to a college algebra post I’ve seen by a math server honorable. Love it

[gray gazelle]

this is why i dislike the terminology "college algebra"

[hearty steppe]

Yea I don’t like it either

It’s counterintuitively not meant to be “college level” as in your not studying linear algebra or Abstract Algebra

[still jay]

Is anyone familiar with “Elements of Abstract Algebra” by Richard Dean? I’m thinking of using it as a first exposure to AA. I only got it because it was cheap lol.

[sage python]

@clear sail idk this one at all

[sudden kindle]

College level as opposed to university level

Kek

[quick hornet]

theres a distinction between "college" and "university" in countries outside of the US

that said, i havent really seen non-US schools use the phrase "college algebra" in any case

terms like "introductory algebra" or "remedial algebra" or "precalculus" are more common there

or even just copy-pasting the name of the high school level math course from the syllabus, like "math 12a" or whatever

[gray gazelle]

what's a good book on representation theory for self studying? with exercises

[gray gazelle]

One that’s worth checking out is

Representations and Characters of Groups

James and lieback

Very doable for self study

[oblique whale]

Great book

[whole rain]

any analysis textbook recommendation that covers elementary asymptotic analysis ? (Just the basics, like finding equivalent to some functions etc. )

[vapid scroll]

@whole rain didnt know people write books on that

[whole rain]

I'm not asking a book that covers only that

just some book that has, like, a chapter covering it

[vapid scroll]

https://books.google.com/books?id=PC3rBwAAQBAJ

i stand corrected

[narrow talon]

Asymptotically are huge

[gray gazelle]

and it keeps growing

[floral hamlet]

find the number of real roots of polynomial
1+2x+3x^2+4x^3+...+(n+1)x^n
where n is a odd number.

[karmic thorn]

Read #❓how-to-get-help .

[warm glen]

has anyone worked through shilov and liked it

im looking at it as a potential next book on lin alg after this second class on it that im taking

[warm tide]

Inner enginnering by sadhguru! Go enjoy

[upbeat crater]

pls give me a number theory book

ug level

[quick hornet]

do you have basic familiarity with intro abstract algebra (groups + rings)?

if so, ireland-rosen is the usual recommendation

if not, theres a whole bunch of recommendations out there

[upbeat crater]

could you give one of your personal favourites that don't require a background in abstract algebra?

[quick hornet]

unfortunately i dont have much personal experience in that regard

[broken meadow]

niven zuckerman

that one does not require abstract algebra

[whole rain]

Rosen's elementary number theory isn't bad

[quick hornet]

i know Silverman, Niven, Burton get recommended a lot

(3 separate books)

but i cant evaluate them personally or anything

[upbeat crater]

alright bois, thank you vm <333

i'll check em out

also any fun complex anal books?

[static crest]

number theory book that doesn't require at least basic rings knowledge?

feels like it would be a pretty shit number theory book

[upbeat crater]

I'm assuming they just cover it in the book

[static crest]

oh true, that's possible

[upbeat crater]

i love your discord tag

[static crest]

thank you

[storm sleet]

Andrews, Hardy & Write, and Burton are some I see often

[gray gazelle]

I used Burton for Number Theory and it was great

[flat ocean]

j

[sour kelp]

For anyone into physics i highly recommend the book "Calculus, an intuitive and physical approach" from Morris Kline

[sudden kindle]

I dont

I bought that book in highschool and never read it

Much easier to watch mooculus

[prisma snow]

In which case you should highly recommend people buy it... from you

[manic fox]

lolol

[gray gazelle]

I would buy it just for the reason that it has yami's cooties on it

[sudden kindle]

Who are you 8da

[prisma snow]

A renowned researcher on STDs

[true veldt]

[manic fox]

std = standard deviation

[gray gazelle]

of course

[desert blaze]

anyone like modernist literature?

[spark eagle]

where can i learn about vector spaces from scratch?

[broken meadow]

friedberg linear algebra

[static crest]

dummit and foote

:^)

[broken meadow]

lmao

[gray gazelle]

foote and dummit

[prisma snow]

DF = Dumbos and Fools

[signal summit]

https://cdn.discordapp.com/emojis/674566162700304394.gif?v=1&size=64

[hearty steppe]

They should just put a foot on the cover of that book

[static crest]

don't kink shame me

[broken meadow]

???

[willow pecan]

[gray gazelle]

[willow pecan]

feet noted

[gray gazelle]

nobody was

[humble mortar]

afternoon

anyone aware of the books in finance

with things you learn in calc sequence

like multiple integration, gradients, minima maxima, etc

i know this is a math channel but i was interested if anyone has a book recommendation for that particular topic

i own several econ books but they dont delve into math as i liked them too. and the topic themselves are too general for an average person to care about\

[willow pecan]

@fickle pond

[fickle pond]

Finance books won't go into the math detail you'd like since they're meant for business students

My university used some shitty Pearson textbook for calc so I don't really have a recommendation

[humble mortar]

i was looking something thats similar to this

http://poincare.matf.bg.ac.rs/~kmiljan/UFM.pdf

this is my summer course

for the summer session

was just curious if anyone went through similar classes in here

thanks anyways though

[smoky surge]

anyone have good books for computer vision? Everything i find is on coursea and tbh that makes me nervous

or do people here like the Stanford course? I guess I cant go wrong with that

[willow pecan]

standford

[smoky surge]

haahahah

im tired

[willow pecan]

@graceful iron goes to standford

[storm sleet]

Zalgo text when you don't expect it is fear inducing

I thought I had a stroke

[smoky surge]

thanks!

ill look at em

@graceful iron do you recommend starting with cs131?

im interested in computer vision as a whole

how useful is that stuff to know

or is it more interesting

im doing this just as a summer self study I'm not I want to do brain imaging tho later

and am doing some work now with SPM in that

ok cool

thanks man

hahahah true i get that

[willow pecan]

[warm glen]

are there linear algebra books that aren't boring to read, like the way artin isn't boring to read

ive heard friedberg is dry

[dim relic]

if you're already reading artin I'm sure you're above the level of friedberg

[warm glen]

oh

what's at the level of artin

[hearty steppe]

Artin is definitely above friedberg

In terms of content and difficulty

[dim relic]

I'm not really familiar with advanced linalg books, maybe someone else would know better

[hearty steppe]

But Artin is Abstract Algebra?

[broken meadow]

inb4 Lax

[gray gazelle]

||roman||

[warm glen]

i figured roman would be a good fit except ive heard it's really hard

but it's within reach for someone reading artin?

i figured id need to read an intermediate book before i could read roman

[warm glen]

yeah i just meant that artin is considered a good read as far as abstract algebra books go and i was wondering if there's an analogous book for linear algebra

[hearty steppe]

Go for Janich

[warm glen]

i'll take a look, ty

[floral hamlet]

any hint

[broken meadow]

#❓how-to-get-help

😔 i learned how to do this earlier but i forgot the proof

[supple laurel]

Excuse me, what are some books good for beginners? I forgot most of the math I learned on school and I want to remember it again. I think to have learned some of the pre-calculus arguments, like limits, trigonometry and logarithms as the last thing.

Thank you!

[prisma snow]

If you're gonna troll and recommend fiction, at least recommend good books

[gray gazelle]

@supple laurel check out the books by lang

and an introductory analysis book

[prisma snow]

[gray gazelle]

Can anyone pls suggest any book that can be self explanatory and explains basic concepts of calculus like limits, derivative and all

[hasty turret]

Spivak

[gray gazelle]

Thanks

[supple laurel]

Thank you! 😊

[supple laurel]

@spare oyster why that reaction?

[spare oyster]

ah nvm. I didnt know lang wrote calculus books

[manic fox]

lmao

he's written a lot of books

all of them are bad

[gray gazelle]

says the one doing algebra from lang

smh

[tribal crag]

Hi there!

I came to ask if possible any advice on a book for Calculus with some Precalculus stuff? Thanks.

[quick hornet]

stewart has some precalc review included

but i wouldnt recommend using it to learn precalc material

[tribal crag]

@quick hornet then which please?

[quick hornet]

a precalc book?

[tribal crag]

Trying to get names thats all thanks

I'll look harder

[vagrant obsidian]

anyone got a cool math book recommendation? not necessarily specific

[slim peak]

What level ?

What field ?

[quick hornet]

Green Hill Zone and Z/5Z

[slim peak]

Quantum Mechanics for Mathematicians, L.A.Takhtajan

[static crest]

mao nami

[vagrant obsidian]

im in uni rn 1st year cs and just trying to pick up math again. this time for myself

[slim peak]

We definitely need English translation of Xavier Gourdon's books

[willow pecan]

Groudon

[slim peak]

lol

It's not a legendary Pokemon

but he wrote two of the bests undergraduated books of all time

one entitled Analysis one entitled Algebra

short and very dense

[vagrant obsidian]

whats entitled analysis about

and thanks im gonna look all these up

[cobalt arch]

What Is Mathematics? by Herbert Robbins and Richard Courant

I think that would be a good book to read if you want something general in scope

[slim peak]

• Normed Vector Spaces (finite dimensional) and their topology
• Function of real variable (pre-calc, calc)
• Riemann Integral
• Sequences,Series, Power Series, Fourier Series.
• Multivariable calculus, Inverse function theorem , involving integral along curve, and multiple integrals.
• General ODE considerations, Linear and nonlinear problems in any dimension.
• An appendice on Baire Theorem and Hilbert Spaces.

[cobalt arch]

That is a lot

[slim peak]

There is A LOT of Exercises and Problems

all with their own correction

400 pages

[lone viper]

Can someone please suggest a book on some interesting and very specific topic? I am a 2nd year undergrad looking to go into depth in some topic

Or suggest some cool topic which will be understandable with basic algebra, analysis, topology

[willow pecan]

Randall LeVeque's Numerical Methods for Conservation Laws

[lone viper]

Isnt it for a graduate course?

[willow pecan]

Is it?

I read it during undergrad

[lone viper]

I read description on amazon

[static crest]

commutative algebra

[willow pecan]

Oh I have a pdf if you want it

[lone viper]

Book? Atiyah?

[static crest]

A M is kinda self torture but sure

[lone viper]

No I will order only

Thanks btw

[willow pecan]

I mean like

You can look at the pdf and decide if you like it

[slim peak]

Non-linear Dispersive Equations, T.Tao

[willow pecan]

And then decide if you want to spend money

[lone viper]

Suggestion please?

[static crest]

matsumura

the resident comm alg expert says it's his favorite

[lone viper]

Seems perfect (hoping i will be able to understand) thanks!

[lone viper]

Thanks!

[slim peak]

A friend of received it for Christmas when he was newly undergraduated. Very hard book, but very interesting book. He understood the main content only one year and a half after he received it, reading it few parts few times.

[lone viper]

Ohhh

[slim peak]

All "really interesting" books are longer investigation I think. I have books that I got for many years, and I still didn't understand their main topics.

[lone viper]

Hm thats true

[supple laurel]

Guys, I know I asked a question before, but are there any books about how to solve math and logic puzzle and basic cryptography books (always to solve puzzles)? Thank you!

[willow pecan]

You might check out the AoPS books

[cobalt arch]

I don't know if there are any books per se on how to solve mathematical and logic puzzles since they vary a lot in content and so do the approaches in solving them.

[supple laurel]

Thank you, I'll check it out 👍

[solar bison]

Not a book, but if you want cryptography puzzles, checkout cryptohack.org

Or https://cryptopals.com/

[whole rain]

are they that great ?

I was thinking about reading the analysis one at some point, but it looked like a super dense package of knowledge and exercises, closer to something you'd use as a reference than something you'd read for hmm.. learning

[solar bison]

Anyone got good recommendations on books/classes that would be good putnam prep

[slim peak]

Useful for both

A "problem" is that simple results are only stated not proved

It is a problem since not everybody have the same notion of "easy"

[vapid scroll]

horror genre?

preferably a thriller horror?

[pale scarab]

Putnam and beyond but also just old tests.

[quick hornet]

hartshorne

[manic fox]

llolol

[loud sable]

basic mathematics by serge lang?

looking for foundations, and leading upwards

[humble mortar]

Allan edger poe

His material is re readable

Honestly spivaks calculus is scarier

[analog spruce]

I'd like to know if there's a discord server for undergrad first years or those finishing highschool

that general range of stuff

[karmic thorn]

This server

[analog spruce]

really? I've sort of felt it to be a bit advanced

sorta, it does cover a wide range

[silver herald]

No, really this server specializes in HS and 1 to 2nd year undergrad maths.

The most advanced you might see here are just typical 2nd or 3rd year Undergrad content

which is very rare to see besides #advanced category

[clever pumice]

@mystic yacht suggested I post here instead! I have to prepare for a mathematics exam I'm taking in 2023. I looked at the practice materials here: https://www.mathproficiencytest.ca/#/en/applicant/learn/prepare:sample_questions and I am on Khan academy. I need to relearn up to Grade 10 math in Ontario. The last time I did non-stats math was fifteen years ago, so I'm a bit overwhelmed. I know my weaknesses are measurement, long division, trigonometry, and algebra. I am on Khan Academy reviewing Grade 3 materials at the moment (I also want to see how math is taught nowadays, since there is this weird 'Discovery Math' thing, and I feel that even if I know everything but Grade 3 measurement, it's still useful to see how else I can explain math concepts like multiplication with arrays and things). I also have some Dummies books that look at Pre-Algebra and such, but I think it is too advanced for what I actually need. I'd like to find just a ton of Kumon-like exercises I can do, esp. in long division, measurement, Pythagorean theorum, fractions, exponents, trigonometry, and algebra, but I don't know where to look since my teachables are in French and Geography, so I never actually had to find materials in math before for my division, let alone for divisions I won't even teach (but am still required to prepare for! It's asinine). I also tried to sign up at my local adult school, but they won't let me register since I have a Masters degree; they only take people who haven't completed high school yet. Can you recommend workbooks or other online resources that I can access (hopefully for free) to practice Grade 3 to Grade 10 math? Basically, just math drills that focus on a specific topic, or PDFs I can download that I can print and just do question after question for practice. I really like math, and I got 80%+ until Grade 8, but always failed measurement, and then high school, I was pity passed in grades nine and ten at 50% lol

[karmic thorn]

I feel like Khan Academy by itself should suffice. In any case, you can look up on Google with "free math worksheets for grade X" and you'll get plenty of results.

[clever pumice]

I need to dumb down my thinking apparently because I went full throttle looking at like, teacherspayteachers and Amazon and only Googled 'mathematics workbooks for elementary school'

[analog spruce]

I think I realized that I mightve been looking for smth like a smoller community where cool stuff is shared every once in a while as opposed to smth like stack exchange

[karmic thorn]

Sometimes simple keywords yield better results

[karmic thorn]

I'm not aware of such a community. If you mean more advanced insights by "cool stuff", I think this server is fine.

[undone pine]

Is there any book on analysis 2 which propose a geometrical approach (with figures and so on)

[gray gazelle]

What do you mean by analysis 2?

[manic fox]

i mean analysis too

[marble grotto]

*to

[undone pine]

By analysis 2 I mean on topics like R^n space, multivariable functions, differentiablity, extremas and so on (and geometric approaches on smaller dimensions, geometric approach on definition of continuity of 2 variable functions and so on)

[noble patio]

So I have my syllabus for next semester in hand and I'd really appreciate if someone helped me pick out some solid books to refer to!

[willow pecan]

It sounds like Pugh is the book for you

[noble patio]

here it is 🥳

[vagrant obsidian]

this is too advanced, couldnt even get 10% of the first chapter...

do you have anything else please? a little basic maybe

[crimson cipher]

understanding analysis, abbott
a book of abstract algebra, pinter

[vagrant obsidian]

ok thanks

[fossil arch]

Anyone read this?
https://www.amazon.com/Analysis-Introduction-Proof-5th-Steven/dp/032174747X

If so tell me what you think :D

[gray gazelle]

Any good maths book for starting a levels maths?

[clever pumice]

gimme da book https://www.amazon.ca/Everything-Need-Pre-Algebra-Algebra-Notebook/dp/1523504382

[regal elk]

oh lol yes I have for courses I had, but the international version (I think they're the same?)

Overall I did like the book, mostly understandable and rigorous proofs which you sometimes will need to go over multiple times as is normal, and often gives necessary counterexamples which is nice. Good exercises too with sometimes hints in the back

I do dislike that some important theorems were skipped fully and only got a mention as an exercise
(like schroder-bernstein, riemann rearrangement theorem and some others)

I don't have much experience with other books though, so am not sure how it compares to others, but it worked well for me

oh and mostly focusses on proofs btw, with a few calculation based exercises at the beginning of the problems for each chapter to get a feeling for the stuff first

[fossil arch]

Perfect, thank you McOinky!!

[undone pine]

Is there any book which gives an intuition on subdivision construction? As example I had an exercice to prove that if each f_n is Lipschitz and f_n->f pointwise, then the convergence is uniform, or Dini II theorem. To prove those statements we can pass by construction of asubdibision, but I don't feel good when I need to do this. If someone could propose something, I would really appreciate it.

[drowsy pewter]

Anyone know where i can get a pdf of [an analysis of the finite element method] by gilbert strang and george fix or something like it?

[gray gazelle]

did you check l*bgen?

[drowsy pewter]

yep no dice

ive gotten a structural mechanics book covering it but I'd prefer a mathmaticians perspective

[hearty steppe]

Any book by or featuring Gilbert Strang would often be the last book I’d want to read. His books are usually pretty dry.

Everyone in the second semester discrete math class I took years ago did not like his Linear Algebra book (a suggested reading by our shitty professor at the time)

[ocean mountain]

Strang reads like an engineering manual

[mint sparrow]

Strang's Introduction to Linear Algebra 3E or 4E are essential reading up through Chapter 4, due to his influential Four Fundamental Subspaces conceptualization. After that chapter, the books go down hill a bit; and let's brush past the poor 5th Edition, where half the content is split over video lectures.

[gray gazelle]

anyone read alex's adventures in the number land?

so goood

[sudden kindle]

No

Is it good?

[static crest]

mods, ban this fool

[narrow talon]

I really like Straang, don’t understand the hate

I like that his books are like manuals, you can just go look up basic computational stuff that you need every now and again that abstract books don’t cover

[slate quarry]

Hi guys, I'm new here, so hello to everyone. I wanted to ask if you have any recommendations on a good book on Geometry for self study. Since I've forgotten almost everything I've learn in my high school days, I'm looking for pretty kind of basic euclidean geometry textbook. Thanks in advance.

[misty flax]

Introduction to geometry

Richard ruscezyk

Part of art of problem solving series

[gray gazelle]

very, imo

[static crest]

do AG

[desert copper]

Any recommendations for an abstract algebra textbook

preferably for beginners

[static crest]

d&f

doesn't get easier than that

[desert copper]

what’s that

[static crest]

the name of the abstract algebra textbook

well actually, the name is "Abstract Algebra", which is a trash name to google

[desert copper]

Nice, thanks!

[sudden kindle]

Euclidean Geometry good for gaining a historical appreciation of geometry

[desert copper]

Anyway, does anyone have any experience with Fraleigh’s “A first course in Abstract Algebra”?

I think one person I know might have that so

[static crest]

fraleigh is decent as well

for a first algebra book

[desert copper]

True

[static crest]

d&f is pretty much a complete treatment of undergrad algebra, you'd be hardpressed to find content that would typically be covered in ug algebra

that isn't in d&f

true

[desert copper]

So what courses does one usually take after abstract?

[static crest]

basically anything

abstract algebra is a fundamental topic in math

it's used everywhere

the ideal path way is to do comm alg and AG after

trust

also you can do more algebra

like grad textbooks in abstract algebra

[faint scarab]

I recommend Algebra: Chapter 0 by Aluffi

[static crest]

I anti-recommend that

[desert copper]

explain

[static crest]

unless you want to be category theory pilled

[slate quarry]

It's because I shall take a course in college called 'general and analytic geometry'. I know some analytic geometry, so I don't have problems with that, but I've forgotten almost everything about 'general geometry', witch I guess means euclidean geometry (I don't know, I've asked to a couple of professors for information about the course, and they told me nothing). I just want to be prepared, because I'm not very good at math.

[static crest]

it just shoehorns cat theory

into every possible thing

I'm not sure that's true, but I don't know enough K theory to debate that

actually, K theory is short form for field theory, since everyone uses K for fields

[desert copper]

Indeed

[hasty turret]

Sounds like a German thing

[static crest]

lol

I can't wait for "Aight theory" named in a similar fashion

Katiyah Macdonald

but ya, if you do want to go deep into some category theory, then aluffi chapter 0 probably the best option

[slate quarry]

I've asked to the professors for the syllabus , but, as I've said, they told me nothing 😦

[static crest]

IKINTNTDTGOOMO theory for short

[desert copper]

Lol I have no idea which discipline falls under which, but can one take Galois theory after abdtract

[manic fox]

hmm

[static crest]

galois theory is part of abstract

algebra

the usual ug abstract algebra pathway is somewhat like groups -> rings -> fields -> galois or groups -> rings -> modules -> fields -> galois

I would say

[desert copper]

Yeah, I was just wondering is a little Galois theory taught in abstract and then you can study more about it by taking Galois theory

[static crest]

you can also do arithmetic geometry

after abstract algebra

probably

I never said immediately after