book-recommendations

[quick hornet]

numerical analysis courses are jam packed at most places

and typically engineering students take them in like

3rd or 4th year

when theyre busiest with other courses

[hasty turret]

ic

[quick hornet]

you dont wanna add on extra things to teach on top of that

awkward for the prof and the students

anyway if you want to see computational calc hell

look at #math-discussion

[sacred swan]

Spivaks Calculus is good, but if you are more interested in just the computational stuff I would recommend you pick up an older Stewarts Calculus book. That is what I initially did before I took a calc course and found it to be quite helpful, I got it off ebay for about $10 including shipping

[spare ermine]

I’m looking for a good intro to differentiable stacks with the goal of understanding stack Cohomology

Any suggestions

[random sequoia]

does anyone know a good textbook with a lot of questions in it? I'm at the inverse functions, differentiation by chain rule, geometric progressions kind of level

[bright inlet]

anyone know a complex middle school math boom with questions

[tulip blade]

Look into math competition stuff for middle schoolers

Or AOPS

[broken meadow]

middle school

excuse me

[bright inlet]

yea im 13

[broken meadow]

how old are middle schoolers

[bright inlet]

but i like math

[broken meadow]

is 13 below the TOS rules or

i forgot

[bright inlet]

nah

its min 13

[broken meadow]

ok

[tulip blade]

@bright inlet id try reddit too

[bright inlet]

ok

[tall badger]

George Orwell - 1984

How to Win Friends and Influence People - Dale Carnegie

[broken meadow]

@tall badger this channel is basically for mathematics texts recommendations/discussions (admittedly i guess it never said that anywhere)

[tall badger]

Oops mb lol

[broken meadow]

its ok

[willow pecan]

There has been non-mathematical book discussion here before

[broken meadow]

ill adjust the channel description

oh

[willow pecan]

I mean

Maybe that's a conversation to have

Is this for math books only

[broken meadow]

this is a good question

[willow pecan]

Most requests are for math books

Because it's a math server

[broken meadow]

right

the way i see it

well so far

i might be totally wrong here

but whenever i see these kinds of posts that don't really go anywhere they're usually just not math? so it could be easier to just limit it to math but yeah im reading what ultra said rn

i am wrong

indeed

okay so i guess if there's no reason to specify then i don't need to

[willow pecan]

Can math people constructively talk about non-math books?

I think so

Like if this channel is only for math books then people can talk about other books in discussion or something

Yeah it's not like non-math book discussion is preventing math book discussion from happening

[broken meadow]

alright

then that's settled

ill make a note of it in the channel description then

[haughty mango]

I recommend Stamped by Jason Reynolds

I fucking hate reading

But Stamped is a good book

It’s about racism and oppression against blacks in america years ago

[marble solar]

No

[willow pecan]

Yes

They can

[gray gazelle]

I recommend the bible

[hasty turret]

Which one

[gray gazelle]

i am 13 and what does it mean suck dicke and balls?

Beware of pedos, kid.

Discord has many of them.

yohan pedo! fuck fuck fuck!

[prisma snow]

Shoulda said 12, but you're a chicken because of discord TOS. For shame.

[gray gazelle]

should i call mods

for being disrespectful

[storm harness]

Don't worry I have them on the line

They're saying something about giraffe tongues idk

[cunning stirrup]

One punch man, good manga / webcomic

[willow pecan]

[gray gazelle]

Any good murder mystery novels? Something like Poirot. I basically have read all of the good ones from Agatha Christie. Basically her earlier works.

[willow pecan]

John Grisham has a lot of legal thrillers, a large number of which involve murders

[gray gazelle]

I read the famous ones.

John Grisham's novels I mean.

Looking more for a murder mystery with super smart detective and tricks.

[willow pecan]

[spiral gust]

Maybe you’ll like some inspector maigret novels

[marble solar]

The Brothers Karamazov

Also Franz kafka's The Trial

[dapper root]

Kek, Kafka as a murder mystery

[marble solar]

I mean

There's a murder

and there's a mystery

||Although the murder happens at the end||

[dapper root]

The mystery is finding out why the book’s a murder mystery

[analog pollen]

Any good diff eq books from which I can self study and is complete?

[willow pecan]

ODEs?

[analog pollen]

Yes

[willow pecan]

Boyce Diprima

Nagle Snaff and Snider

Tbh there is no good ODE book

[broken meadow]

there will never be a good ode book

ODE is doomed

[timber mesa]

I liked Kreider's Intro. to Linear Analysis, it's a bit old but then again so are ODEs

there's also Hirsch-Smale-Devaney

[analog pollen]

Could someone also recommend a linear algebra book that would be complementary to studying physics

Like qm

[willow pecan]

Friedburg is a good linear algebra book

[analog pollen]

I heard it’s not really for beginners

Is that true?

[marble solar]

it's not a good book

[quick hornet]

things heating up in #book-recommendations

dont bring up aluffi

[willow pecan]

Friedburg is not a first linear algebra book

I would say

It requires proof experience

[analog pollen]

Yeah I was more looking for a beginners textbook

[marble solar]

I don't understand why everyone says that

Intro linear algebra doesn't require proof experience

[analog pollen]

That would be complete enough for a good understanding for physics

[marble solar]

You just learn how to prove things in linear algebra

There's only like four or five methods in linear algebra

Take a linear combination

Set equal to zero or your vector

Push it

Apply linearity

I mean how much experience do you need to pick that up

[sage python]

I don't think Friedberg requires either proofs or linear algebra as background

[analog pollen]

So what is your recommendation then?

[sage python]

It's a pretty decent "I know nothing and am starting from 0" book

[marble solar]

For a first linear book? Hrmmm I like schaum's outline + lecture videos

[sage python]

But why do you dislike it Moonbears?

[willow pecan]

Things getting heated in book-recommendations

[marble solar]

I just think it's caught between being a first book and being a second book

and it doesn't hit either

[analog pollen]

Ok so what would you recommend for a first

[marble solar]

My favorite linear book for first glance was williamson and trotter second edition

But that's out of print

So good luck

The third and fourth edition they changed it so it's no longer a good linear text

As a first book

[analog pollen]

That I can actually buy lmao

[marble solar]

Schaum's outline is pretty good

[analog pollen]

And for only learning from a book

You said you like lectures

[marble solar]

Ok yeah, then schaum's outline

[analog pollen]

I don’t tbh

[marble solar]

Has enough examples and exercises you can pick up on

[marble solar]

https://www.amazon.com/Multivariable-Mathematics-Calculus-Differential-Equations/dp/0136048501/ref=pd_sbs_6/137-8814260-8037356?pd_rd_w=D28xj&pf_rd_p=a5925d26-9630-40f3-a011-d858608ac88b&pf_rd_r=7A4HMM2WMSE2H2YPYFB7&pd_rd_r=cb710781-1dfd-47ba-af00-f4fe65979b2c&pd_rd_wg=pwAQ9&pd_rd_i=0136048501&psc=1

This book is good

It's $8

[analog pollen]

I’m not in us

[marble solar]

RIP

[analog pollen]

I heard shaum’s linear algebra is more of a reference than a real textbook

[marble solar]

I used it as a real book for a university class

🤷‍♂️

[analog pollen]

Oh damn

You read axler’s or Anton’s book?

[marble solar]

I've read axler's linear algebra done right

that's my favorite linear text but

It's not a first book

[analog pollen]

Also Anton’s book is pretty decent

I heard

[willow pecan]

Axler is a known troll. Determinants are the second most basic concept in linear algebra after matrices themselves. Yeah most people call it a multilinear alternating form that preserves the identity but that's objectively a bad name.

[quick hornet]

pasta doesnt make sense here, sorry 😦

[analog pollen]

Have you read Anton’s

[broken meadow]

after the first line it just

reads normally

[quick hornet]

or at least swap "determinants" and "MALTPI"

[low geyser]

I'm an engineering undergrad, curious to TRULY understand calculus, and maybe analysis too. Can someone recommend some good books?

[flint forge]

spivak

(if you want to work harder, something like Pugh or Rudin, but Spivak is a good starting point)

[low geyser]

Thank you, MaxJ. Love you.

[low geyser]

I have 3rd edition is tha tokay?

[flint forge]

i think any edition should be fine honestly? @steel viper is the person i know who read it most recently idk if they remember what edition they used

[low geyser]

Does it go through multivariable calc or just regular calc

Very rigorous. Problems can be quite tough. 😦

I'm scared

[tulip blade]

I think both

But yea math gets hard

[low geyser]

Do you think I should read "Arts and Crafts of Problem Solving" first?

and what should i do when there's a problem i can't solve?

[analog pollen]

You should know proofs for spivak

Also you shouldn’t be scared of epsilon delta definitions

[analog pollen]

No only calc 1 and 2 I thought

I’m not sure there might be a calc 3 spivak book

[low geyser]

Okay, to be clear, what does "know proofs" mean?

[analog pollen]

Yeah I didn’t read the book but I heard you need to know basic proof writing or something

Also understand proofs

But do you know your calc already or not?

[quick hornet]

you dont really need proofs going in

it teaches you proofs

you just need patience to learn them

[low geyser]

I've passed Calc 1 and 2

So yeah I'd say I know it vaguely

[analog pollen]

Then if you want to truly understand it I would say buy the book

[low geyser]

what should i do when there's a problem i can't solve?

[broken meadow]

read #❓how-to-get-help

and ask in the server accordingly 😌

[quick hornet]

spend a few hours on it first

[gray gazelle]

Any books on numerical methods in calculus/analysis?

[willow pecan]

For numerical methods for differential equations, Iserles and LeVeque have books on it

For topics like root finding and quadrature, Wikipedia is enough

[gray gazelle]

Thank you

[steel viper]

I dont think the edition would matter much

[flint forge]

@low geyser ^

[gray gazelle]

Does Spivak Calculus have calc 3 (multivariable calc I think)?

I don’t believe so
Hubbard/Hubbard does multivariable calculus well + includes differential forms

[sage python]

@gray gazelle no, but he has another book called "Calculus on Manifolds" which does it

[gray gazelle]

thx

[sage python]

You'll want to know linear algebra fairly well going in

[gray gazelle]

Can you do linear algebra before calc 3?

[broken meadow]

you Should

it would be worse the other way around

[gray gazelle]

You should have linear before a good calc III course imo

Okay thx

[tulip blade]

Keep trying

[marble solar]

I think the correct order of calc 3 and linear is the reverse order you took them in

[broken meadow]

this is correct

i had calc 3 first

and then the semester after i had friedberg

[gleaming fiber]

ey

[regal wasp]

Anything good on Ramanujan

[gray gazelle]

Like a biography?

[gray gazelle]

The thick dover one.

Wait a sec.

The one by Tenenbaum.

Has everything about solving ODEs.

[topaz kayak]

The bible

[viscid venture]

[fleet coral]

Hey!!
I am new here
I am a artificial intelligence and machine learning student in 1st year of my college
And this is my mathematics syllabus for next semester as I am little weak in calculus I want to start it early in my semester break
So I wanted to ask that can you suggest me some courses or resources from where I can learn this.

[quick hornet]

pretty fast paced course, their recommendation list seems fine for what theyre after

a mathematician's recommendation might bog you down with details considering youre expected to cover all of calc 1 in like, 10 lecture hours

obligatory 3b1b calculus series plug; dont use it as a replacement for reading a book and doing lots of problems, but it has helped with many students' intuitions

dont worry if you dont understand all the fine details of 3b1bs stuff though

https://www.youtube.com/watch?v=WUvTyaaNkzM

[uncut zealot]

Has anyone read A First Course in Modular Forms by Diamond and Shurman? If so, what are the prerequisites? I'm assuming complex analysis, but anything else?

[gray gazelle]

@ alephnull and @ dami

[viral hill]

Is there any big difference between books with titles like "Subject" and "Lectures on Subject"?

[willow pecan]

Lectures on Subject usually tend to be more advanced in my view

[viral hill]

thanks

[quick hornet]

this isnt a universal rule though

fyi

textbook naming conventions arent exactly standardized

obligatory Basic Number Theory mention

[karmic thorn]

Meanwhile University Algebra teaching precalculus

[willow pecan]

"Course on Arithmetic"

[static crest]

just ignore math tb names

entirely

[tulip blade]

Basic algebra by jacobson

[quick hornet]

basic algebra is basic though

its a first course in abstract algebra

weils text is not appropriate for a first course in NT lmao

[viscid venture]

Is this all what you need to learn for the whole 1st year of college? In ai/ml?

[fleet coral]

No this is for the 2nd semester
Topics like differential equations, linear algebra were covered in the first semester

[tulip blade]

Yea but basic algebra makes it sound like middle school or high school algebra

[gray gazelle]

any cool books for applied mathematics?

[willow pecan]

You'll need to narrow your focus

Applied math is far too broad

Are there specific areas you're interested in?

[gray gazelle]

I think about programming

[willow pecan]

Like

Theoretical computer science?

[gray gazelle]

working with language R

[willow pecan]

Algorithms?

Data science?

[gray gazelle]

algorithms

[willow pecan]

Books for specific languages are lame

[quick hornet]

CLRS

[willow pecan]

Pick an algorithms book and try to implement the algorithms in whatever language you want to learn

[quick hornet]

for algos

[gray gazelle]

thank you (:

[willow pecan]

I would recommend Papadimitriou's book

[karmic thorn]

(as an aside, is using an algorithms book also a good way to pick up on programming?)

[willow pecan]

Sure

[quick hornet]

no since it doesnt teach you how to program

[tulip blade]

I dont think so

[karmic thorn]

Hmmm

[quick hornet]

but yes since programming is easy to figure out

at a basic level that is

[tulip blade]

Unless you implement the algorithms you are studying

[quick hornet]

fancy shit is hard

[tulip blade]

Which is a good idea

[willow pecan]

Well yes

That's what I was referring to

And mentioned earlier

[quick hornet]

so you can kinda just like

learn the basics of syntax in your language of choice

[karmic thorn]

No, I don't have fancy stuff in mind. Just basic tasks to show me ins/outs of programming.

[quick hornet]

alongside the text

[gray gazelle]

True

[karmic thorn]

Yeah, that sounds about all I want.

[tulip blade]

I like algorithms by jeff erickson

[quick hornet]

and implement algos to practice your loops and recursion and shit

[tulip blade]

very fun book imo

[karmic thorn]

Thanks. Will look into the recommendations.

[tulip blade]

Good ebook free online and cheap for physical copy

[karmic thorn]

+1 for authors who host free digital copies of their books

[quick hornet]

CLRS is the rudin of algos except, unlike rudin, its actually readable

[karmic thorn]

[tulip blade]

But boring

[karmic thorn]

I've heard a lot about CLRS

[quick hornet]

so like rudin

[tulip blade]

I used CLRS too and the exercises kind of suck

At least most of them.

[karmic thorn]

I see

[tulip blade]

Ericksons book is much smaller and contains less advanced material.

Its good for the basics

Very good problems too

And the author tries to make it not boring

[karmic thorn]

Will definitely check it out, thank you!

[placid skiff]

erickson recommends a good bit of prerequisites https://jeffe.cs.illinois.edu/teaching/algorithms/book/!!-frontmatter.pdf

[tulip blade]

Those are mostly standard prereqs for an algorithm book.

Except for the asymptotic notation

Which you can look up.

The prereqs there are a little more than what you need though

I thought it was more enjoyable than CLRS.

[placid skiff]

I guess it just speaks to how much of a complete beginner because I barely know any of that stuff 😦

he seems to be an enjoyable writer

[tulip blade]

I dont think you need to know the abstract data structures at all

You could look it up if they came up.

[karmic thorn]

I think I'm okay with most of the mathematical pre-reqs, the CS-ey bits are concerning

I'm just hoping I can pick that up on the go

[cunning spruce]

i avoid two things: cs and finance

[karmic thorn]

I have a C programming class this sem, can't really avoid it. (The other elective was econometrics so C programming looked better)

[broken meadow]

C programming is better

[cunning spruce]

econometrics. what utter bullshit

lmfao

[karmic thorn]

[willow pecan]

Econometrics is fancy for linear regression

I mean

Linear regression is very important

And shows up consistently

[karmic thorn]

That pretty much sums up that course lmao

[cunning spruce]

that i do agree with

[willow pecan]

But you should learn linear regression in a stats class

And not an econometrics class

[karmic thorn]

I also have a stats class this sem

Let me check if it goes into linear regression

Okay yeah, it does

[cunning spruce]

my bachelors and masters is in statistics. time series/econometrics , never liked that stuff

[karmic thorn]

Aah

I've only looked very little into stats so far but it has been interesting for me

[cunning spruce]

it definitely is

especially machine learning

but i just grew out of that interest i guess

[karmic thorn]

I see. I'm liking it because it shows me some analysis applications

[viscid venture]

Where do you guys study stuff?

Only books?

And school?

[bitter raptor]

@karmic thorn now that ive heard you like stats i cant respect you anymore

[broken meadow]

i take classes at my school because i am horrible at studying anything by myself

[karmic thorn]

I study pretty much everything on my own because classes at my school are horrible

[karmic thorn]

You should actually look into Mathematical Statistics by Hogg. I'm sure it has the potential to surprise you.

[cunning spruce]

im a phd student

and yes thats a good book

[karmic thorn]

[thin pike]

Yo anybody from nyc?

[willow pecan]

@glad prairie

[sage python]

Oh no

Now you gave me the mental sound of NYC -> Nick

[broken meadow]

??

so you say ryc as rick

...

[sage python]

Yeah

[broken meadow]

okay i guess

i have always read it as R y c

like nyc

oh dear

[willow pecan]

rice

[broken meadow]

nice

nyce

[sudden kindle]

[sinful pewter]

rice

[bitter raptor]

@karmic thorn see i would but out of principle the fact that "statistics" is in the name of that book means i must hate it

Jokes aside though i do some day want to seriously look into statistics cause i know there's interesting stuff

[dark plinth]

what is good for non Euclidean geometry

[dark plinth]

Thank you

[tight crag]

Fuchsian groups by Katok @dark plinth

[ionic wren]

I’ve read it

It is mostly just analysis tbh

The book minimises prerequisites pretty well

[willow pecan]

MSRI is good

[uncut zealot]

That's good to know; I'll put it closer to the top of my reading list then. (I have like 15 books on my reading list and am nearly done with the book I'm going through now, so I'm sifting through and trying to come up with a more precise order of things)

Also I love your YouTube channel

[ionic wren]

...

i cant tell if you're joking, you probably are

but im not the youtuber

[uncut zealot]

I was joking; I only commented because I saw your username.

[tiny elk]

Hey guys, does anyone own a pdf copy of PreAlgebra (AoPS) and is willing to share with me?

[gray gazelle]

have you checked the website whose name starts with library

and whose second word is synonymous with "start"

[sage python]

The current link for that doesn't work actually

[gray gazelle]

pls no ban

[sage python]

Try libgen.dn

[broken meadow]

dami we can't

we can't say that anymore

[prisma snow]

Messaging modmail rn!

[sage python]

Nah apparently .dn is fine

[broken meadow]

??

[sage python]

Like it's not even against TOS

[broken meadow]

are u fr

[sage python]

.deeznuts

[broken meadow]

Wow

you fucker

[prisma snow]

🤡

[broken meadow]

i just got Owned

[gray gazelle]

lmao metal get fucked

[broken meadow]

holy shit

[sage python]

My finest moment

I can retire now

[gray gazelle]

i choked on a piece of waffle

thx dami

[sage python]

🙂

[marble solar]

just go ahead and ban sloth king and tterra rn

[quick hornet]

ban me

[sage python]

Honestly ban Metal he already got sent to the shadow realm

[broken meadow]

lmfao

yeah i can't

i can't come back from this

my career

Ended

i need to get daminark one day

this is my mission

[ionic wren]

godamnit

[night knot]

I did it, guys

I somehow got Hartshorne in our library

[gray gazelle]

[sour briar]

As someone who plans on reading Spivak, is it worthwhile to do virtually all the problems? I already have prior experience in calculus and some proof-writing, but it's still a very thick book nevertheless.

[gray gazelle]

They were chosen by the author for a reason

[obsidian valley]

doing all the exercises in big spivak

youll definitely 4.0 your calc course

[karmic thorn]

I think most authors try to keep books/exercises "overcomplete", wherein it may or may not be worth spending time on each and every problem. My personal strategy is to solve/formulate a strategy for easier problems inside my head, do 1-2 computational problems and avoid other similar problems, and write down/think in depth about problems which appear even slightly non-trivial.

[sour briar]

Ah, fair. I want to finish Spivak in 6-8 months, and I'm looking for ways to make my self-studying more efficient. The problem count is a bit intimidating for me, especially since I've been hearing some people saying that some problems take about a week to crack.

[celest pike]

I'm currently using holt mcdougal's algebra 2 book, but it just gives formulas and examples with problems. Does anyone have recommendations for a good precalc book for self studying

[sour briar]

If you want a rigorous treatment of high school math, I recommend Art of Problem Solving.

[obsidian valley]

if you want to finish spivak in 6 - 8 months you either need to work very hard or skip some problems

[sour briar]

so around 15-20 hours a week?

[obsidian valley]

yeah

i mean idk

it depends on who you are

some questions take longer than others

[low geyser]

What the fuck?

I'm sorry, are you guys telling me a Calculus textbook (Spivak) normally takes close to a year to do?

@obsidian valley Am I hearing you right?

[obsidian valley]

I didn't realize 6 months was close to a year.

You can finish Spivak in like 2 or 3 months if you want to work hard at it

[willow pecan]

[obsidian valley]

Not that I finished Spivak

[shadow bronze]

does anyone here know of a good topology book with an eye towards physics?

signed: a very confused physicist that has seen the word 'topological' too many times

[willow pecan]

Munkres is the standard topology book

[hearty steppe]

Why not Mendelson? @willow pecan what is wrong with using that over Munkres

[willow pecan]

I'm sure nothing is wrong with Mendelson

But Munkres is the canonical topology book

Like how Evans is the canonical pde book

[shadow bronze]

the small dover book?

[hearty steppe]

I don’t recall both of them being that big tbh

Then again I didn’t really read them. Just a quick skim as of yet

[shadow bronze]

I have a copy of mendelson actually! I just need to, you know... open it

[tulip blade]

Probably takes around 4 months like a normal class. It depends how disciplined you are and how much you actual want to learn it

Most people spend months learning calculus 1&2 and this book is much harder for most people

[obsidian valley]

Normal classes don't finish the entirety of Spivak in 4 months

If you are finishing all of Spivak in a course it will probably be over 2 semesters

[gloomy brook]

What would be a good book for HS?

[flint forge]

most ppl recommend khan academy to get you through everything before calc

[tulip blade]

Art of problem solving

[slate quarry]

What's HS? forgive my ignorance

[gloomy brook]

High school

Actually I am in my 2nd year of high school

[flint forge]

could you clarify what you want the book for

like is it for your classes or for outside reading or…

[gray gazelle]

Any good books for introductory category theory?

[flint forge]

riehl

just use riehl

ill fight anyone else

[willow pecan]

Bye Tess

[flint forge]

(fwiw riehl expects you to be fluent in things like linear algebra and group theory and sometimes topology)

[willow pecan]

It was nice knowing you

[gloomy brook]

I need a good book with good questions that's it tbh

[flint forge]

for your classes or not hahha

[gray gazelle]

What’s so bad about cat theory

[gloomy brook]

Yeah

[willow pecan]

Copresheaves

[flint forge]

use khan academy

[gray gazelle]

Everyone here looks down on it, but won’t explain why

[gloomy brook]

Website?

[flint forge]

hating category theory is equally cringe to obsessing over it

yes elaina

no one reasonable actually looks down on category theory

[gloomy brook]

I used it for other subjects but the questions were super basic ?

[flint forge]

its the language of modern algebraic-style mathematics and completely ubiquitous

[gloomy brook]

Or I just didn't know how to use it?

[flint forge]

if you want something harder id suggest learning ahead

[gray gazelle]

I don’t recall learning anything of substance in precalc

[flint forge]

like tbh “hard” questions before (and often withing) calculus amount to just really gross applications of the same rules

so you might as well just like study ahead

instead of torturing yourself with “hard” precalc questions

[gray gazelle]

Try calc

[gloomy brook]

Bruh I don't want to torture myself

[flint forge]

good

[gloomy brook]

I don't need something so extreme

But not so basic either

[gray gazelle]

What’s even in precalc
Let me look it up

Yeah

Just use Khan

[cunning spruce]

"whats so bad about category theory"

[gusty smelt]

precalc is literally a waste of time, like 2 weeks worth of material spread over a year

just do calc

[willow pecan]

[hearty steppe]

precalc is for people who still suck at algebra just enough to not be ready for calc. I've been there, not judging anyone for it but you might be able to learn the material faster going straight to calc?

[willow pecan]

There is a saying that people fail algebra in calculus

[marble solar]

I think the idea is that every concept of calculus is communicated or evaluated in an algebraic way

I haven't taught calculus before to know the veracity of this

[static crest]

for most people, calculus might as well be an extension of algebra, just with weirder rules for algebraic manipulation

[sudden kindle]

Synthetic calculus

[willow pecan]

Yeah so if you rush into calculus without a solid foundation in algebra, you'll struggle

[tulip blade]

Its also nice to be familiar with trigonometric functions

[gray gazelle]

anyone know a math book to learn algebra 1 fully (and if possible the book can be downloaded online and has things where u can see what ur gonna learn at what page, so i can skip all the basics ive already learned in school up to now)

[shadow bronze]

@gloomy brook khan academy is good, but if you want to learn a bit of math that you’re not likely to come across in high school, try ‘What is Mathematics’ by Richard Courant. my first year of undergrad one of the professors recommended it to us and I really enjoyed it (though I never finished reading it)

Might be a bit too advanced but I don’t think it requires a lot of background beyond basic high school math, should be a bit more fun than just getting ahead of the rest of your class

[hearty steppe]

yea but you should be able to pick this up in the algebra/precalc review sections of most calc texts

the only problem is getting practice with the algebra, if you can't intuitively tie things together which is why a precalc course exists

imo College Algebra course is mostly a waste of time, when you can spend a week or two becoming familiar with the very basics of algebra and just move on to precalc material?

thats if you are like, committed to learning those foundations of algebra while barely understanding the intution, so thats why a college algebra course exists because you can't magically expect older people to pick up something they didn't learn intuitively

What ends up happening to people that get past calculus is they usually have no formal mathematics experience, like no proofs background or ways to understand the abstractions, so that is another problem altogther for people that want to commit to going further in math beyond what usually engineers are expected to stop at.

[shadow bronze]

damn that is me lol

somehow made my way to a theoretical physics grad program but my math is severely lacking and at this point it really shows lol

[hearty steppe]

eh well its sorta me right now as well. Not struggling too bad with analysis right now but man a year ago, Rudin was mostly jibberish to me.

[shadow bronze]

my (smarter than me) friend was struggling with analysis hard and scared me off from analysis a bit too much so I never went near it

only got over my fear of proofs when I took abstract algebra in my last year of undergrad - still was shit at it but it was fun - but that was the only math class I did beyond the physics requirements

now complex analysis, geometry and topology remind me that I don't know any math everyday 😅

[gray gazelle]

i know a reasonable amount of complex analysis, geometry, and topology, and am still reminded on a daily basis of how little i know

it never goes away

you just get used to it

[marble solar]

I can feel my brain rotting at my job

with each document I write

[willow pecan]

[marble solar]

||If I don't get into a fucking program this cycle fuck it, just gonna throw my life at computer programming||

I don't think I can do this job for years 'n years on end

[sudden kindle]

What is your job?

[marble solar]

I manage a math tutoring center at a university

[sudden kindle]

What does that involve?

[marble solar]

Well, that involves apparently cold calling applicants to enroll in our summer program, hiring people to support said summer program

Interior designing my center (ordering furniture, etc.) also lots of pointless meetings, agendas, documents for documents sake

Lots of event planning & coordination

And finally, helping students w/ math

See that last part I want to be 90% of my work

but that's only 10% of my work, the preceeding stuff is 90% of my work

[sudden kindle]

That sounds like management

[pale scarab]

Nlab wiki lol

[sage python]

@glad prairie we should make an nlab but for pde

And call it hlab

[calm crane]

[glad prairie]

i don't understand the h

i don't even know what n stands for

[flint forge]

n-category

[glad prairie]

oh

now i get it

ok

[sudden kindle]

What does it stand for

[flint forge]

?

[glad prairie]

h is the semiclassical parameter

[flint forge]

oh

[glad prairie]

i was going to say "the majority of PDE people don't give a shit about semiclassical parameters" but

i'm sure the majority of people who use category theory don't give a shit about n-categories

i could be wrong about that

[sage python]

I thought PDE \subset microlocal analysis \subset semiclassical analysis

At least that's what @frigid comet told me

[whole rain]

what's microlocal analysis ?

[sage python]

Something something singularities something something pseudodifferential operators

[sudden kindle]

No one knowz

No one knows what's so microlocal about microlocal analysis

[sage python]

Also something something microlocal lifts of shit

[whole rain]

ok

[glad prairie]

gomez is a shameless semiclassical shill

don't believe their lies

people who do elliptic/parabolic problems a la calculus of variations do not care about this stuff usually

[sudden kindle]

Semi classical analysis looks cool

[glad prairie]

it's very dispersive

yes, it's all math that's spawned from quantum mechanics

it's very fun to learn

[sage python]

Yeah it's good stuff. I likely am gonna care if I end up working in arithmetic quantum chaos

Apparently arithmetic tools largely overpower microlocal ones

[sudden kindle]

Got any #book-recommendations

[sage python]

But as my advisor puts it, it's good to be able to communicate with the raw analysts

Zworski is the standard

[glad prairie]

the usual book would be zworski's semiclassical analysis

[sudden kindle]

Imslowly getting analysis pilled

[frigid comet]

lol. at least the second inclusion is somewhat valid

[glad prairie]

enjoy this set of slides about it @sudden kindle http://math.mit.edu/~dyatlov/279/Lecture1.pdf

[sage python]

You lied to me

[glad prairie]

the first inclusion is total nonsense

[frigid comet]

yeah zworski is the standard, I also enjoyed reading bits of martinez's book alongside it, spelled some things out that zworski didn't, and had a slightly different emphasis later on.

dimassi-sjostrand if you are particularly interested in the spectral stuff

[glad prairie]

you could make some kind of odd, mostly false claim that dispersive pde subset microlocal analysis subset semiclassical analysis

[flint forge]

this is probably true for a sufficiently general defn of “category theory”

[glad prairie]

but this would ignore several people's perspectives and work on handling dispersive pde

[ripe granite]

[frigid comet]

RYC the first inclusion was a meme making fun of angenetaar for his dislike of microlocal analysis for the reason that apparently all microlocal analysts view PDE as a subset of microlocal analysis.

[ripe granite]

they dont?

[frigid comet]

I wouldn't even entertain the dispersive PDE inclusion. PDE and its major subfields are fucking massive. microlocal analysis/semiclassical analysis is one framework well suited to answering certain questions.

[sage python]

What do you mean meme?

Finite element method simply doesn't exist

[frigid comet]

on that we can agree

[glad prairie]

ange is right

[frigid comet]

lol

[sage python]

How can finitely many elements be used to understand continuous stuff like PDE?

Only has a strict subset of the data

[marble solar]

Computer algorithmic magic

[glad prairie]

anyway i like microlocal and harmonic analysis toolkits in general

but really

that msri water waves class was just an endless storm of paradifferential calculus and microlocal analysis

a little tough to digest

[sudden kindle]

I have no idea what kind of math I wanna do.. so many directions

[whole rain]

simple: do all of them

or don't do any

[glad prairie]

while simultaneously taking zworski's pde course (the second half of which was all microlocal analysis)

[sage python]

I want to do everything honestly

[sudden kindle]

Same

[frigid comet]

sure, I am not defending whatever was covered in that class, it didn't sound interesting to me and I am literally a microlocal analyst. was just making fun of the logical leap.

[glad prairie]

i want to do everything dishonestly

[mossy flume]

I want to do something based in algebra cause that's been the stuff I enjoy the most

but that's such a broad field

[sage python]

I wanna be Benson Farb/Akshay Venkatesh

[mossy flume]

I might as well say I want to do math

[ripe granite]

PTYamin do the right kind of microlocal analysis

[mossy flume]

@marble solar I don't even want to hear it

lol

[sage python]

Bit of AG, bit of PDE, a lot of rep theory/dynamics/NT/topology

[ripe granite]

https://link.springer.com/book/10.1007/978-3-662-02661-8

[glad prairie]

yeah i'm just joking around, i found the class very enjoyable (if a little obscure at time with all these symbol classes and odd estimates)

[ripe granite]

enjoy

[glad prairie]

i am reminded of why i muted book recs

[willow pecan]

[frigid comet]

@sage python , having proved that special case of weyl law now you are ready for the monsterbook. (to keep this on the topic of book recs).

[sage python]

Oh yeah Gomez does Sato type stuff have much to do with your business?

And lol monster book might go on the list but there are other priorities atm

[frigid comet]

nah, there's like no flow of ideas at all between the two kinds of microlocal analysis as far as I know.

totally different objects studied and methods used I think, although I am sure if I looked into it a little some of the motivation would be similar.

okay, perhaps I am being a little dishonest to say totally different.

but my no flow of ideas statement stands

[sage python]

Time for me to start that flow >:)

[ripe granite]

arc topology arc

[sudden kindle]

D module

[tulip blade]

I dont want to do everythinf

[sacred swan]

I saw this in a functional analysis book I own and it has become my favorite quote for some reason

[gray gazelle]

Reed and Simon, presumably?

[sacred swan]

Yup

[thick panther]

is it free?

[sacred swan]

It wasn't for me, I got it on sale too because it wasn't in ideal shape

[thick panther]

lol i meant is the channel free

[sacred swan]

Oh that, that I do not know lol

But go for it?

[thick panther]

i am in 11th grade and i wanna ask if there is a book that intermediate to advanced level in maths

[thick panther]

I am prerrty good at maths but not like insanely good

[sacred swan]

What have you covered so far? Have you explored at all outside of highschool yet?

[sacred swan]

Everyone starts somewhere

[thick panther]

Just abt calculus

🙂

so i asked earlier and some said do art of problem solving

[gray gazelle]

What do you mean by advanced maths? So, you’ve covered calculus?

[thick panther]

But any other book?

[sacred swan]

My recommendation would be to just browse around and see what kind of interests you. I would also recommend an introduction to proofs type hook

[thick panther]

yh

[gray gazelle]

I assume calculus of a single variable, integral and differential?

[thick panther]

yeah

[sacred swan]

Book of Proof by Hammond is online for free and he updates I think fairly regularly.

[thick panther]

some said that i should try the art of problem solving book

Is that good?

[thick panther]

oh thx

[gray gazelle]

You could do multivariable calculus, linear algebra, or an intro proofs class

[sacred swan]

I would also agree with this, these are all probably good places to start

[thick panther]

If yes then which one

[gray gazelle]

I like Hubbard & Hubbard, “Multivariable Calculus, Linear Algebra, and Differential Forms - A Unified Approach”

[thick panther]

is it intermidiate levle

[sacred swan]

Linear algebra and multivariate are closer to what you may know but I think getting used to proofs is incredibly value (and fun!)

[thick panther]

I dont want like too adv

[gray gazelle]

Lucid explanations, good introduction to both fields

No prerequisites required except calculus of a single variable

[willow pecan]

Linear Algebra

Linear algebra is good

[thick panther]

oh

[gray gazelle]

Alternatively, you can use Khan Academy

They cover linear and cal III

[thick panther]

ohk thx

https://artofproblemsolving.com/store

And any book from this website?

[willow pecan]

Eh

[gray gazelle]

No

[willow pecan]

Not really

[gray gazelle]

That site seems oriented towards HS mathematics

[thick panther]

oh

[willow pecan]

AoPS is not that good for post-hs math

[thick panther]

I wanna do eco and bm major

Would i require very high mathmematics?

[gray gazelle]

Biomedical?

And ecology?

[willow pecan]

It further argue that it isn't that good for hs math either

[thick panther]

like i wanna go in commerce stream

[willow pecan]

Econ and business management?

[thick panther]

Ohh

yes

[gray gazelle]

If you want to do econ and business management, you’re probably already set

[sacred swan]

^^^^

[thick panther]

but you know i like maths

[sacred swan]

It can never hurt to do more but I would just say do whatever seems interesting to you

[willow pecan]

Econ is fancy multivariable calculus and linear regression

[gray gazelle]

No problem with that!

[willow pecan]

Unironically

Unless you want to do an econ phd

[thick panther]

Idont want leave it just cuz i am doing another major

[gray gazelle]

Big ol matrix

[thick panther]

Oh

thx guys

[oblique holly]

Is there any doing phd?

[willow pecan]

Several

[quick hornet]

🧝

do you have a specific question?

[oblique holly]

Want to know which one will best for research purposes for group theory?

[willow pecan]

Which what

[quick hornet]

what type of group theory research

finite groups? representations? group actions on [blah]?

computational stuff? etc

[oblique holly]

Finite groups

[willow pecan]

Does research on finite groups still happen

[quick hornet]

okay just to make sure, you mean a research-level textbook for a graduate 3rd or 4th course in group theory

right?

[quick hornet]

sure, combinatorial stuff

[oblique holly]

I read thai question on math stack , and they said yes but with liitle bit of possibility.

[ripe granite]

Moonshine?

[oblique holly]

Any good book you can recommend .

[ripe granite]

What’s your background

[quick hornet]

im not a group theorist so idk if this is the best source or anything but

the one i always hear mentioned is isaacs

finite group theory is in kind of a weird state since so much of it is split between like 500 papers all focused on parts of classification of fsgs

[oblique holly]

Thnx

[quick hornet]

i dont think you can point to two or three big papers like you can do with most of algebra

(usually by atiyah)

and say "start by reading these"

after Isaacs you usually hear about like

Gorenstein??

its a really old text though

might be something better nowadays

finally for like

slightly more state of the art

theres Wilson

its meant to build directly to digging up those 500 papers and trying to learn the proof yourself

idk how successful it is at prepping for that

[last idol]

Are there any one can rcm me some textes or notes on cayley graphs? Better relating to algebraic topology..

[spare ermine]

I think there’s a brief discussion in Hatcher

In the opening of the covering spaces section

[calm crane]

theres a decent discussion on Outer circles by Albert Marden

[timid drift]

I want to get started with probability

I have always been interested in probability and I was wondering where to start and what is the best textbook to start it with

[timid drift]

Ohh

thanks @ripe granite

[tender rune]

i see spivak's book recommended for calculus a lot, is this really helpful for someone just looking to go through like a standard uni course load? i wouldnt mind a more complete understanding of it but i dont know what's too much rigor vs not enough.

[gray gazelle]

Depends whats your major/uni.

For not a math major probably gonna be above what you will do in calc class

[tender rune]

comp sci, i think it ends at foundations tho i might be interested in more if i get into it

[gray gazelle]

I suspect in most cs programs the coursework do not require a lot of math/rigor, so there wouldn't really be a benefit to knowing more rigorous calculus. But eg if you take a course like optimization theory or a somewhat rigorous course in stats or other more "applied math" type courses, then a rigorous calc/analysis background can be useful

[gray gazelle]

So, I have to learn stats :(
Any good books?

[tulip blade]

No

[karmic thorn]

Currently using Mathematical Statistics by Hogg, and I've liked it so far.

[night knot]

Morris H. DeGroot seems fine, using it to get by a course myself rn

[frail jungle]

is there a "Feynman's lecture on physics" equivalent for maths?

[gray gazelle]

If I lie to myself to feel better, I can pretend learning stats will help me with QM (when I really need func analysis)

[night knot]

what kind of stats course is it?

[gray gazelle]

I have no idea; I’ll just have to take one within the next two years, so I want to get the conceptual part out of the way

[hearty steppe]

Didn’t you suggest that to me?

[karmic thorn]

I might have suggested it to multiple people

[willow pecan]

[steady scaffold]

any recommendations for coordinate geo?

the hyperbola and stuff

[vocal hatch]

does anyone know a book they would recommend to someone who wants to study complex networks / random graphs?

[tulip blade]

Random graphs by Bollobas is the standard text @vocal hatch

I think Alan Frieze has a book on Random graphs that you should check out too @vocal hatch

Idk what complex networks are though

[vocal hatch]

Ah great, I'll give that a look then

From what I read I assumed they're the same as random graphs or similar at least

[tulip blade]

Yea im not really sure how networks are different. I always assumed they were more applied.

[flint forge]

Anyone have a favorite algebra book that is concise

[hasty turret]

Knapp?

Apparently, That's good

[gray gazelle]

muted but typing

[hasty turret]

Tis a zombie

[molten wave]

should I ban for mute evasion

[broken meadow]

oh dear

[stray veldt]

weird ghost ping 🤔

[gray gazelle]

this was saved on my phone

ultra default pfp days

[hasty turret]

nvm,I thought there was an ultra imposter

[gray gazelle]

sus

[karmic thorn]

Ultra didn't say this, right?

[gray gazelle]

i don't know

it could be someone else

[hasty turret]

Sus

[obsidian valley]

I remember that guy

lol

he did the same to me

dm and then delete

[karmic thorn]

I see

[stray veldt]

how can you tell that you got a dm that was deleted?

[obsidian valley]

I saw him doing it

the notification will pop up and go away

[stray veldt]

ah ok

[willow pecan]

[gray gazelle]

Hi! I'm supposed to be preparing a demo lesson for a teaching position for high school. What is your recommendation on an algebra textbook?

[sudden kindle]

Fuck you and your entire lineage.

[flint forge]

not sure if this is helpful but we tend to suggest khan academy

[obsidian valley]

Just play them a Sal Khan video

"I teach just like this guy"

[flint forge]

pre-calculus textbooks suck

[sudden kindle]

Demo lesson

[obsidian valley]

don't highschools have contracts or something?

[flint forge]

also so do most calculus books

[obsidian valley]

Do you even get to be flexible with your textbook choices

[sage python]

Wait did Mega Euler assassinate PTY's family or smth?

[obsidian valley]

It was cause of this Dami

[sage python]

Somehow still feels a bit discontinuous but lol

ALright to keep this on topic

[sudden kindle]

I'm just trying to start new copypastas whenever possible

[sage python]

Give books that make you want to say to the author "Fuck you and your entire lineage"

[obsidian valley]

i have to read do Carmo soon

dont say that

[sage python]

Avoid it somehow

[obsidian valley]

:(

i can pick other books but I need to learn do Carmo content

[sage python]

do Carmo's probably fine as far as books go

But don't learn differential geometry is more the point

Graduation is overrated

[obsidian valley]

I just want to take the general relativity course

[sage python]

Hope it's worth it

[marble solar]

I liked Schaum's outline to Differential Geometry

Just showed you how to compute stuff, it was nice

Another much more advanced text I like a lot is a Primer on Mapping Class Groups

[pale scarab]

You should probably use the textbook that the school uses. I like AOPS but mainly for the problems not that it has a groundbreaking way of explaining the content or interesting lessons to do.

[prisma snow]

Dummit and Foote. Tao's Analysis.

[sage python]

Lmao

[marble solar]

Terry's analysis books are bad confirmed

[hearty steppe]

@marble solar Schroder's intro Analysis book has a whole a differential geometry section

[sage python]

I actually might read MCG soon

[marble solar]

I was surprised at how readable it is

[sage python]

Farb's good lol

[marble solar]

I figured it'd just be dense bullshit

But the arguments are intuitive

Unlike Schulten's 3-manifold Topology which is dense BS

[hearty steppe]

@marble solar have you checked out Schroder's books? I like his analysis text so far

Abhijeets recommended it to me a while ago

[prisma snow]

You're probably being sarcastic, but wow. I wanted to cancel him just for his bad use of the term conditional convergence then I saw his exposition of limits and his definitions are

[marble solar]

No I actually hate his analysis books w/ a passion

[prisma snow]

Moonbears and Luna become friends arc

[sage python]

Wait

Don't you mean unconditional?

[marble solar]

Like you don't need a chapter 3 explaining axiom of choice, equality, etc.

[sage python]

Everyone says conditional convergence lol

[marble solar]

In a junior year analysis course

[prisma snow]

No. I mean that Tao calls normal convergence conditional convergence (as in it can also converge absolutely). Whereas normal people say conditional convergence means it converges but not absolutely.

[marble solar]

I hated using double induction to prove addition is commutative or something over the integers

[sage python]

Oh that's dumb

Does Tao even know analysis?

[tulip blade]

no

[prisma snow]

no

Tao crank confirmed

[tulip blade]

ive heard Taos books are good tho

[sage python]

Obviously I'm joking since he's arguably the top gun analyst alive but

Idk if someone who wasn't Tao made that use of terminology

[marble solar]

You spelled Larry Guth wrong

[sage python]

I'd be inclined to say that person just doesn't have a very good understanding of analysis

Maybe Tao has some weird internal logic that makes this make sense

[tulip blade]

i havent read a book i hated that much

[sage python]

Moonbears I said arguably

[prisma snow]

Imagine my surprise when Manan asked in #advanced-analysis to help with the proof that absolute convergence implies conditional convergence and he didn't mess up, it was Tao

[tulip blade]

i didnt like spivaks calculus on manifolds

[marble solar]

that's where you're wrong

[tulip blade]

not a huge fan of the book on automata, computability by hopcroft and ulman

[marble solar]

Have you tried reading a more advanced book in geometry, analysis, or topology?

[tulip blade]

its a classic but boring

[tulip blade]

analysis ya but not geo or topology

[sage python]

Spivak Calc on Manifolds is decent

Like it's very efficient

[tulip blade]

yea its very small

[sage python]

Just a few pages and now you know what you're doing

[pale scarab]

Any lang book

[sage python]

Buck Advanced Calculus is garbo, had to use it for 2 psets in analysis and it was so bad

[prisma snow]

Anyway, because hating on Tao is my new favourite hobby, look at this

His defn of converges relies on restricting a function twice

[sage python]

Also our prof lecturing out of it was very much correlated with the quality of lectures dropping like a rock

That's so strange

[tulip blade]

Tao is the goat

Youre just small brained

/s

[pale scarab]

Tao had pretty good notes on linear algebra but its been years since I looked at it

[sage python]

Yeah people in this channel sometimes recommend Tao but I think I officially antirecommend it lol

[prisma snow]

Sure, just not at book writing

[sage python]

Yet another Rudin challenger has failed

[prisma snow]

Dami is officially the most based mod.

Care to join me in also antirecommending DF and endorse Rotman? 👀

[willow pecan]

[sage python]

So at some point I could check out Rotman but I don't have a huge reason to?

Like pretty much my thing with algebra was

[prisma snow]

It's okay. Just endorse it without reading it.

[sage python]

I started reading Artin but it did linear algebra first and I was trying to speedline to the group theory

So I picked up D&F and I got bored

So I picked up Herstein and went with it

[prisma snow]

Based

[sage python]

(This was summer after first year, I was in an REU and was planning on doing a project about group actions on graphs)

[hearty steppe]

Artin is a strange book

[marble solar]

cuz his RMT book is good

Duh

[sage python]

Lmao

[marble solar]

his analysis books largely refer to volume 1 & 2

[sage python]

Moonbears is talking about the books of Tao whose names are "Analysis"

[marble solar]

His measure theory book is also not good

[sage python]

Honestly I don't see why so many people write measure theory books lol

[tulip blade]

Didnt know he had one

Additive combinatorics you mean?

[marble solar]

Good things by Terry Tao: His complex notes 246ABC, His Analytic Prime Number Theory Notes, his Ergodic Theory notes, and his RMT stuff are all great

from what I've seen

[sage python]

But yeah Artin I think is probably the correct choice for people who don't know anything

[marble solar]

I heard his Fluids course was super good too

[tulip blade]

Herstein?

He writes functions weird

[sage python]

Like he is only two steps short of having a chapter 0 in which he teaches the English language

[tulip blade]

My only complaint tho lol

[sage python]

So yeah as I said

[sudden kindle]

artin algebra?

[gray gazelle]

any suggestion for multivar analyis, vector analysis and complex analysis?

[sage python]

Yeah

Spivak Calc on Manifolds, then... idk Freitag Complex Analysis?

[tulip blade]

Complex analysis: conway

[marble solar]

multivariable analysis, spivak calculus on manifold, vector analysis is what?, complex analysis Terry Tao notes 246ABC

[marble solar]

wrong

[tulip blade]

Why?

[sage python]

Conway's weird

I feel like it has the D&F problem of just making it boring lol

Also re Herstein so here was my story with algebra lol and you'll see why I simultaneously like Herstein and dislike it

[tulip blade]

D&f is boring

Whats a better algeber bookk

[prisma snow]

Tao's notes make me cry because as far as I can see, they are not compiled into one document, and you can only access them on his blog in reverse publication order?

ROTMAN

All the Rotmans

[sage python]

So I talk to my REU mentor and I'm like yo

[marble solar]

I always just saved to PDF and compiled them together

[tulip blade]

More like ratman

[sage python]

I heard algebra is cool

[marble solar]

Editing it out

[sudden kindle]

my rec for algebra: Saracino for group theory when you're just starting out, D&F for second pass of group theory + galois theory

[prisma snow]

Yamin ignores rings

[gray gazelle]

how about general topology and geometric topology?

[sage python]

But I know we're supposed to connect with the subject of the apprentice REU which is linear algebra/graph theory

[sudden kindle]

you can spend forever learning abput rings

[sage python]

So idk what's a cool topic?

[tulip blade]

How many things are you learning at once

[sage python]

And the REU mentor is like oh try group actions on graphs

[prisma snow]

Do you still have this? 👀

[marble solar]

well general topology should be like Munkres, geometric topology - what do you mean by this

[tulip blade]

What even is that

[marble solar]

I mean you can just save/print to PDF, and then just combine them

[sage python]

Okay to do that you need to learn group actions, here are some notes by Keith Conrad, you'll need to learn some general group theory first though, you can find any book

[marble solar]

It takes a few minutes

[sage python]

So I start with Artin but it does linear algebra first and I'm doing lectures on linear algebra so eh

[sudden kindle]

i would rec studying commutative algebra

[tulip blade]

I know a lot of graph theory but no spectral graph theory other than basic stuff

[prisma snow]

Fair

[sage python]

Then I'm like okay I guess the honors algebra class here uses D&F so I'll try that

[gray gazelle]

the subject is called Introduction to geometric topology

[sage python]

And I actually fell asleep

[gray gazelle]

Quotient topology, continuous maps on
quotients, adjunction spaces. Group actions and
orbit spaces. Projective spaces.
Brouwer's fixed point theorem, the Jordan
curve theorem, Brouwer's invariance of domain
theorem.
Topological manifolds constructions of
manifolds. Polyhedral surfaces, Euler
characteristic. Classification of closed surfaces.
Simplicial complexes and polyhedra

[sage python]

Like one time I was reading it and my face was on the table and my phone was in my hand with D&F open

So like lol no

And then I'm like okay what's the next choice? Apparently Herstein Topics in Algebra, okay let's pull it up

Wait damn I actually like this

[tulip blade]

D&f is ok for a reference

[sage python]

Alright alright let's go with it

[sudden kindle]

i dont get when ppl say d&f is boring

[marble solar]

do you also read dictionaries to learn words

[sage python]

So I read Herstein and Keith Conrad's notes

[tight crag]

If you stare at D&F for long enough it's pretty good

[sage python]

Actually I did this lol

[tulip blade]

Keith conrad has good notes

[sage python]

I was behind on learning to speak when I was a kid since my parents tried teaching me 4 languages in one go

[tulip blade]

Ive heard good things ab allufi

[tight crag]

Lmao

[sudden kindle]

there are examples in d&f so its not just a dictionarry