book-recommendations

[vital bane]

Rudin RCA

[warm crow]

Guys which Linear Algebra book should I get? Gilbert Strang's David C lay's or Anton Howards?

[merry sphinx]

goofy aah

[vital bane]

It's a good book🗿

It's a fun read

[merry sphinx]

eh

i tried to look at it as a fairy tale bc otherwise id probably think too much about the flaws

[vital bane]

You thought it was a real story?🗿

Besides I read it when I was in 8th grade, and I enjoyed it back then

[merry sphinx]

no...

[fair fiber]

Damn so u read it last year

[vital bane]

Actually next year

[merry sphinx]

i mean, in a work of fiction you want things like, idk, an interesting plot, good/interesting character development (of multiple chars), maybe some relatability, plausibility of the events in universe, being immersed in the world, blah blah

[molten gulch]

Friedberg, Insel, Spence, Linear Algebra 4th edition

[merry sphinx]

fairy tales are often like, kinda basic and only focus on one pov which is sorta what the alchemist was

[vital bane]

You get all that though

It's a story of the guy

and his journey through the stuff

the shepard

[merry sphinx]

goes on journey, finds out the treasure was within him all along blah blah

it felt like a fairy tale

[warm crow]

I can only choose between the 3 ones I mentioned because we will receive the book we choose for free by the state.

[vital bane]

and all the different stuff he encountered along the way

[molten gulch]

Lay

[fair fiber]

He wants book not chips

[cunning elk]

lay is ok for a computation focused text ig?

[molten gulch]

It's still utter dogshit, I hated that book so much that I went and read Friedberg during my computational linear class -Ryan

[vital bane]

"It's about the journey, not the destination" 🗣️

[warm crow]

if its dogshit, why not Strang or Howards?

[merry sphinx]

idk i thought it was mid, lotta the other chars were plot devices, and the whole fatima just waiting her whole life for some rando dude she just met was kinda cringe

if it inspired ppl though, good for them

[warm crow]

also it's for Linear Algebra I

[vital bane]

fatima part was not the best ngl

[merry sphinx]

i also didnt find it particularly interesting ngl 💀

[vital bane]

But yeah I didn't claim it was a masterpiece, it's just a fun story🗿

[merry sphinx]

like the whole thing was just getting to the pyramids, i did think the wind scene was cool though

[vital bane]

I liked the book

[molten gulch]

Because they all absolutely suck

[merry sphinx]

yeah i read it in like 1 night

so not a bad time investment

[vital bane]

I read it in like a week or two

[cunning elk]

I don’t get the strang glaze at all

[molten gulch]

Strang's MIT lectures are good to watch, I didn't like his book though

[cunning elk]

I didn’t like his lectures either

[vital bane]

literally the first book I ever read

[vital bane]

Strang lectures are goated

[fair fiber]

8th grade books go hard, i read chinese cinderella🔥

[vital bane]

If you want all that I'll give you something, read Re:Zero 🗣️ literally peak of all of fiction

[merry sphinx]

oh

[vital bane]

[merry sphinx]

i think i watched 2 eps of that recently

[fair fiber]

Wat

[fair fiber]

Nah its mid if u want good anime watch 91 days

[vital bane]

Maybe you should read the WN/LN

[merry sphinx]

it felt... eh

[vital bane]

Also keep in mind, reading/watching Re:Zero is like reading a pure math book, meanwhile watching other anime is like reading a novel

🗿

[merry sphinx]

the idea is sorta interesting, but like apparently isekai just gotta have some gooner aah MC

[vital bane]

you gotta pay attention

[merry sphinx]

LMFAO

[warm crow]

I watched the lectures and they are good

[merry sphinx]

maybe we should go to #chill

[vital bane]

what is no access?

[merry sphinx]

chill

[vital bane]

I am chill

maybe you need to chill?

🗿

[molten gulch]

neam permastudy arc when

[merry sphinx]

hes been on studying for like a year

at least

[vital bane]

on studying, but never studying

truly the sisyphus of our time

[merry sphinx]

ok #bots then

[molten gulch]

YES

[warm crow]

I still cant pick between the 3

I think I wont go with Strang cuz the book they give us as an option is the 3rd edition which is fairly old

now I'm between Lay and Anton Howards

[shadow gorge]

Hey guys, can y’all recommend an interesting math book that doesn’t require a lot of prior knowledge?

[vital bane]

Understanding Analysis by Stephen Abbott

[remote sparrow]

rustum choksi

no

[halcyon axle]

wow first message here
what category theory book should i give to friends

[vital chasm]

Leinster's basic category theory is a nice first read

[halcyon axle]

thanks

[tame tree]

anybody have a selection of good problems from baby rudin?

[shadow gorge]

Okay I’ll check it out, thank you

[wet sentinel]

i will write the problems i did/will do which were recommended to me for chapters 4,5 and 6.

Chapter 4: 1->8, 14, 15, 18, 20, 21, 23

Chapter 5: 7 , 8, 11, 14, 15, 25, 26

27, 28, 29 if interested in differential equations.

chapter 6: 1, 2, 4->8, 10, 12, 13, 16

i forgot which exercises i did for chapters 1,2 and 3. Also i probably did some ones that interested me randomly lol so i am not suitable to recommend selected problems of these chapters

and i havent done anything beyond chapter 6 yet (still at the beginning of problems of chapter 6 and currently not studying RA tbh)

also you probably heard this before but dont try the multivariable part of rudin, ie from chapter 9 onwards because its very bad. Thats what everyone told me

we should all lock in when the time comes to speedrun point set topo

for me i am always under the pressure of the interesting advanced stuff

so i would want to go as fast as possible but then i start slacking off

[zinc thicket]

If you wanna start from AMC then you can try First Steps for MO by World Scientific Publication. Its a good book which teaches mathematical thinking for math competitions

[radiant marlin]

real (happened today)

[remote sparrow]

https://web.archive.org/web/20210413023953/math.ucdenver.edu/~jmandel/classes/5070s08/analysisSyllabus-08.htm

[fathom stone]

Is there any book recommendations for learning math from beginning?

[halcyon axle]

my friends didn't like the book

[river aurora]

Any books similar to the Princeton companion ?
Anything similar focused on theoretical CS ?

[vital chasm]

Oof

Why

[halcyon axle]

idk

[vital chasm]

[frank venture]

Well, the Handbook of Theoratical Computer Science (Vols A & B)

Also, the series Cambridge Tracts in Theoretical Computer Science is quite nice for depth in particular sub-areas

[marsh yew]

Hello, I'm a casual math enjoyer, enrolled in a CS degree at the present, incredibly interested in computational number theory, I'm working on a bignum library of my own, similar to libgmp.

I want to understand the reimann Hypothesis at a deeper level to better appreciate primes and surrounding mathematical disciplines. How can I get started? Someone I know recommended that I start with real analysis.
I know basic undergraduate level math, though I'll have to revise it. I studied some basic real analysis 3 years ago when I was preparing for ISI/CMI.

I don't expect this to be a short journey, even understanding it. So any pointers to get started are very much appreciated.

I had used Bartle and Sherbert's book on real analysis then

[river aurora]

thanks

[meager mural]

Hello everyone, can anyone recommend a book for me to learn classical mechanics?

[vital chasm]

Whats your background

In math

If youre OK with some difficulty and calculus, Landau And Lifschitz's first book is a candidate, it is quite hard to read tho

[meager mural]

I don't really know. I have a high school background. I was very good, but I don't know if it's valuable.

[vital chasm]

Hmm
Landau Lifschitz might be too hard then
I'm not sure of a good intro book, there is a physics discord you can try asking

[meager mural]

Can u pass the link or where to find it, i can give the book you mention a try anyway

[rough ivy]

Im in 10th grade and im looking to read books to learn more about math but dont know what to read and what is my level.

Any recommendations?

[velvet pawn]

hey can use guys suggest me any books for starting calculus

and mathematical machine learning

????

[molten gulch]

taylor's classical mech and jackson's electrodynamics are p. standard

[vital chasm]

We're not allowed to send links for piracy reasons
But Google should yield results as its a very old book

[silk dew]

James Stewart. (I contribute nothing to this channel)

[gray gazelle]

any books on

category theory?

i thought given i have switched to anime pfp might as well learn some cat theory

[grand sorrel]

any resources for these topics? i wasnt able to find much

[spiral zodiac]

any books to recommend for actuarial science?

[tame tree]

thanks! i also found george bergman’s notes

[fluid violet]

Riehl

[urban hemlock]

Basic Mathematics by Serge Lange if you know the basics, there is also a series about it here https://m.youtube.com/playlist?list=PLMcpDl1Pr-viA25VUkHNmcUkWx9usPgyb

If very, very basics like arithmetic see Art of Problem Solving

[wooden tartan]

jacksons for highschool level is crazy

griffiths is much more approachable

[vital bane]

Jackson is not for beginners🗿

[merry sphinx]

@remote sparrow thanks for letting us know about the sale, got this for like 50 or so (with shipping) instead of like 130

the ink looks extremely nice on the page, prob the best looking book i own lol

[gray gazelle]

that cover looks so sick

and the printing is good as well

[gray gazelle]

also is that R shankar up there

LOL

[merry sphinx]

above abbott yeah

xd

[shadow furnace]

Does anyone know of a book that introduces group theory via representation theory?
Like not just an abstract algebra book with a section on representations, but one that builds rep theory assuming little / no group theory knowledge.

Obv assuming comfort with lin alg is ok

[slow roost]

sounds like classical diff geo of curves. I like Pressley's Elementary Differential Geometry for a more gentle intro. A more challenging classic book is by Do Carmo

[slow roost]

I'd be very interested to see such a book, but it seems like a tall order; the very definition of a representation involves the concepts of group and group homomorphism. So I struggle to imagine how one could do any amount of representation theory without some familiarity with groups already

[tribal steeple]

a good book for complex analysis. It would be nice if the book starts with things for beginners in the field, then proceeds into advanced topics.

[floral lantern]

Beck is free and very simple (although I dont think it hits very advanced topics): https://matthbeck.github.io/papers/complex.pdf

Stein and Shakarchi or Alfhors are at a more advanced level but might do the trick.

[tribal steeple]

Thank you,
By the way, is real analysis a prerequisite for delving into complex analysis?

[floral lantern]

Not for this book.

[tribal steeple]

Ok

[hushed vector]

i mean
a lot of complex analysis theorems are just trivially extended results from RA

or let's say propositions

[tribal steeple]

So you are saying that it would help to start with real analysis before going to complex analysis
as most of the theorems there would be easier to understand if I understood real analysis

[hushed vector]

depends on ur goal

what do u need CA for?

[tribal steeple]

I want to study it generally, which will help increase my knowledge in mathematics.
I don't know if it is related that much, but I think it helps me to understand the complex transformations used in electricity with a deeper understanding.
But if it doesn't, I want to study it generally.

[hushed vector]

it prolly won't help ya to 'understand' electricity.. but whatev

if u wish to study it as pure math majors do, go the proper way: 2 semesters of intense real analysis first

[wet sentinel]

wdym by 2 semesters? One for single variable and one for multivariable?

[hushed vector]

uhh
It's much more complex (sorry ) than that

but kinda

[wet sentinel]

I think it's sufficient to go through the first 7 chapters of baby rudin

I haven't studied CA yet but from what I saw you should probably know what uniform/pointwise convergence are etc...

At least in lang's book this is assumed and not defined in the textbook as far as I remember

[wet sentinel]

Where does a first semester on RA stop?

[hushed vector]

It's been ages, i don't remember sowwy

[wet sentinel]

I see

[tranquil ledge]

any book rec for stuff on geometry (mostly geometry and stats) or algebra 2 OR calculus ?? like it digs really deep into it, doesnt matter the cost or if its online as long as it provides good information '

[cunning elk]

that's a super broad range of topics

i've seen people recommend serge lang basic mathematics?

[grave trout]

thomas calculus is a decent book for calc 1-3

[tranquil ledge]

hmmmm ill check it

[tranquil ledge]

i just checked it

it seems pretty nice

[grave trout]

its really good i love it

[tranquil ledge]

ill get it soon

[grave trout]

the problems are often harder than what you see in a uni calc class

[tranquil ledge]

thanks for putting me on twin

[tranquil ledge]

im clapped

[grave trout]

np

[tranquil ledge]

https://cdn.discordapp.com/attachments/1431709361700339862/1432011506891100201/image0.gif

[grave trout]

if you study harder than the test, it will hurt less

haha

at least thats how i cope

[tranquil ledge]

bro is spittin bars??

quote of the decade

[grave trout]

you can get it pretty cheap on thrift books

[tranquil ledge]

oh :p

[grave trout]

i got mine for like 15 dollars a year ago

[tranquil ledge]

that good for an expsensive amoung ???

[grave trout]

i like it much more than the calc book my uni makes us buy

[tranquil ledge]

i must be in heaven

[grave trout]

yeah if you get it used

[tranquil ledge]

i use EVERY math book i get

not a single question unanswered

[grave trout]

good then youll love it

i think it has the answers to all the odd questions

[tranquil ledge]

overtime i jsut put it in my old room (theres piles upon piles in there_

[tranquil ledge]

:o

[gray gazelle]

I just got 15e yesterday, I am really pleased with it

[grave trout]

i think i have 12th

[gray gazelle]

I just need to get multivariable next

[grave trout]

does 15th not have mv in it?

[gray gazelle]

It's split into Single and Multi

[grave trout]

my copy goes goes up to divergence theorem

aw man that sucks

[lime cedar]

you could try the first 1-3 chapters of calculus on manifolds by spivak

[gray gazelle]

@grave trout So that was a lie 😅, they are the same book

Multivariable starts at Ch 12

[wet sentinel]

there is lang's algebra too

[cunning elk]

[daring wolf]

read lang’s modular forms book

[wet sentinel]

or his AG book

bro has books for everything around nt and algebraic geometry fr

[daring wolf]

https://link.springer.com/book/10.1007/978-1-4419-8534-7

ftw

[wet sentinel]

real

[fathom stone]

Thanks bro🤝

[faint latch]

Or is there better Calc books

[molten gulch]

<@&268886789983436800>

[gray gazelle]

Don't pirate, there are better (even free) options

[faint latch]

oh sry

[frail fjord]

alr thank you gng\

[faint latch]

kk thc

[molten gulch]

<@&268886789983436800> user is explicitly naming piracy services

[faint latch]

bro this guy

i was js asking for a textbook

[molten gulch]

It's against the rules -Ryan

[faint latch]

oh alr

there's 0

[gray gazelle]

Start with either OpenStax or LibreTexts

[frail fjord]

is one of these the one

[frail fjord]

.

[faint latch]

oh i tried both

[frail fjord]

oh nvm then mb

[faint latch]

thx thou

[molten gulch]

Discussing piracy like this is NOT ALLOWED

[faint latch]

istg

[gray gazelle]

#rules message

[faint latch]

😔 alr alr mb

[frail fjord]

cool

mb

[faint latch]

nvm thx anyways i'll js read the openstax version

[ember karma]

(because we're a partnered server, and so we have to be very strict on ToS issues like piracy)

[daring wolf]

[old elk]

Any sensei who can tell me the right way to advance towards algebraic geometry, I have 800 dollars To buy books, or all possible tools, I am interested

I would really appreciate it.

[merry pond]

Looking for good stats books with both rigor and intuition about estimations and distributions (masters level, non measure theoretic more so for qr interviews)

Okay, seems rice + cb is probably a decent pick

[remote knoll]

can you share your background?

[real marsh]

@proper nova hi we can't allow pirated content on this server

discord will get angry at us

[fluid violet]

Allegedly

If discord gets mad at us we should get mad at them for being a shit company

[real marsh]

Aren't we already mad at them for that

[undone osprey]

800 dollars in india is 6400 rupees u can prettty much buy lots and lots of books

america is too expensive for books and stuff

[undone osprey]

why are u getting mad

if someone is naming them

[ashen flax]

nobody is getting mad discord will just wreak havoc if that stuff goes unchecked in a large server

[undone osprey]

piracy is best

i mean

i pirate movies all the time

i am not paying crazy amounts for not owning anything

[ashen flax]

ones opinion on privacy is irrelevant when discord doesnt like it

[shut geode]

good for you, just dont talk about it here

?????

[undone osprey]

??????

[ashen flax]

piracy* but the other is also true lol

[mellow wren]

[real marsh]

bye

[real marsh]

heads up that people being a dick to you about pronouns is always grounds to ping mods, bigots can seek mathematical conversation elsewhere.

[shut geode]

ok ty

[remote sparrow]

in usd?

or what currency

[normal crystal]

in Chuck E Cheese prize tickets

[proper nova]

I highly recommend Love and Math by Edward Frenkel

[shrewd basin]

guys whats the suitable books for a 9 grade guy to learn combinatorics

[molten gulch]

if you know proofwriting and some algebra, you can try bona's walk through combinatorics

[shrewd basin]

is it in English

[molten gulch]

yes

[shrewd basin]

if it in Vietnamese it would be better tho

still thanks for suggestion

[old elk]

Groups, rings, modules and Galois initials, linear algebra and I'm taking a little bit of Topology

[old elk]

As such, I don't live in the United States, I am Latin American.

[old elk]

USD

I think you know better than anyone that I've been asking questions around here 😅

[remote knoll]

So algebraic geometry is a pretty big subject, from my understanding (and I'm not an expert), there is a UG level book called ideals, varieties, and algorithms by Cox, Little, and O'Shea that should be approachable to you right now, but it doesn't get deep into the machinery of AG. I've read a little of this book, and it's pretty approachable relatively speaking.

Again not an expert, by my understanding is for Grad Level texts, there are two major approaches, algebraic, such as Hartshorn, vs differential, which are books like Harris and Griffiths. For the former, you should be able to get away with a course in commutative algebra. For the latter, you'll probably want to eat a book on differential geometry. Regardless you'll probably want algebraic topology as well.

Hope this helps, and I hope I'm not leading you astray.

[molten gulch]

I'll also chip in that I've started reading IVA and the only algebra background I have prior to starting is one course in linear algebra (which is the same minimum background listed in the preface), and while I've had to look up some results on ring theory or watch videos or stuff, overall it's definitely very very approachable, though I've personally found some exercises to be a bit difficult, but that (at-least I think) comes from my relative unfamiliarity with algebra rather than literal difficulty

Also yeah, from talking to some of my friends who've been reading AG texts, I think for Hartshorne you want some topology and commalg going into it, but for griffiths you definitely want some smooth manifolds and maybe even some experience with complex manifolds(?) though I definitely cannot say how much you need

OH so that's why my uni has a course out of IVA

That's really cool

[old elk]

That depends on how you look at it.

[old elk]

Yes, there is a new one that says the big book of algebraic geometry

[wraith thicket]

Hey, any recommendation for books on linear algebra ?

[molten gulch]

friedberg insel and spence -Ryan

There's a reason why when ryan's in front our username is "thermonuclear fis shill"

[wraith thicket]

which level does it require ?

[wraith thicket]

like to fully understand

[molten gulch]

uhhh you should know how to write basic proofs probably, but it's not a very hard book, a mix of theoretical and computational exercises -Ryan

All the major results you expect are proven for you, most exercises might have you prove some small lemmas or stuff

[wraith thicket]

ohh i see seems interesting

ty

i ll check it out

[visual delta]

https://link.springer.com/book/10.1007/978-3-031-98619-2

Is this book freely downloadable for others too?

Hmm...

I just refreshed the page, and it's gone now.

It reappeared and I was able to download the whole book.

[gray gazelle]

Springer being buggy

[remote knoll]

I just came across this SE answer: https://math.stackexchange.com/a/24447/25445

[bright epoch]

Vakil literally just went into print as well

[dusk steeple]

What are some book recommendations for learning high school level math?

[gray gazelle]

Use OpenStax or LibreTexts

They are completely free

[dusk steeple]

Alright, thank you

[old elk]

I have PDFs of the books on my computer, but my eyesight is suffering. I'm going to pass along the books I've been looking at that are good. I'd like someone in the area to give me a recommendation.

I say they are good from my ignorance but recommended by the community of the other page

[old elk]

It's not the choice I want

[pulsar veldt]

AOPS

[dusk steeple]

Art of problem solving?

[remote knoll]

yeah

that's the common abbreviation for it

@dusk steeple

[dusk steeple]

Found it, thanks

[fallow cypress]

Does anyone have any recommendations for places to learn about probabilistic graphical models?

I'd also be interested in books about the history/theory of reinforcement learning

[hollow vine]

am actually starting with Point set topology
and I will be following "topology without tears"
any sggestions or tips?
I am a second year undergraduate stud sem 3

[wraith thicket]

How did you get it for free ?

[harsh stump]

Physics of the atom is a good book

[gray gazelle]

go for openstax

[visual delta]

It looked like this in the morning.

Now, it looks like this.

[merry sphinx]

[old elk]

I'll start with this one.

[gray gazelle]

Can confirm, there is a bug with Springer Nature

[topaz girder]

Any good literature for the Riemann Hypothesis, to understand how to get to the Zetafunktion and why it shows the primes?

[indigo blade]

howdy
what is a good book on matrix/matrix algebra that prove all theroems ?

i checked one or two springer books on this topic but they skipped proof of thereoms

[pale geode]

Hi, I need an organized introductory material on automatic differentiation, or any general computer algebra book that covers it well enough.

[tender river]

griewank and walther maybe

[pale geode]

Bros name ends with wank

[indigo blade]

well found this one
https://link.springer.com/book/10.1007/978-3-031-93260-1

[cold musk]

best place to start to learn probability and statistics?

(they can be from different books)

[daring wolf]

<@&268886789983436800>

[normal crystal]

<@&268886789983436800>

[night gorge]

[daring wolf]

real

[frozen perch]

Friedberg, Insel, and Spence treats introductory matrix algebra

With full proofs

[molten gulch]

Hey pika, off topic, but just wanted to say I love your pfp

[white heath]

What is a good book to build up geometry and permutations and combinatorics from basics if possible

[bright epoch]

I read a book called Applied Combinatorics which was pretty good

"geometry" is a big word though

[molten gulch]

For combinatorics there's bona's a walk through combinatorics

[cursive rivet]

<@&268886789983436800> piracy

[zealous coyote]

Please don't ask for pirated works here

It's unfortunately contrary to discord ToS

[real marsh]

beaten 🌾

[zealous coyote]

We can't allow it

[drifting inlet]

Sorry my bad

[zealous coyote]

gotta do it once in a blue moon...

Thanks for being understanding

[weary matrix]

Guys suggest a good book for jee(main+adv) trigonometry

Im torn between cengage and skills in mathematics

[tender river]

https://github.com/mitmath/matrixcalc

comes with a little text https://arxiv.org/pdf/2501.14787

[karmic schooner]

Skills in mathematics

If you have time go through sl loney

[hushed vector]

any books that give an exposition into interesting cryptography, explaining algebra along the way?

never had motivation to properly study abstract algebra (i.e. the groups rings and fields) because most of that stuff is just boring definitions and trivial lemmas / propositions ;'[

/ change my mind ofc /

[heady ember]

Most of that stuff is ... trivial.
Then, get the trivial stuff over with so you can get to the interesting part.

Surely you can't say that, for instance, AG is trivial.

[hushed vector]

meh

[heady ember]

[hushed vector]

I mean I could
I just get bored very easily...

so I need some use for those definitions and basic propositions to get over them

use could be something applied, or something pure

[fluid violet]

This is ridiculous

The basics may be boring sure, but 1) you need to know it to study modern cryptography and 2) algebra gets quite complicated quite quickly, calling it trivial is ridiculous

[hushed vector]

sorry
i named the trivial stuff trivial, not the non-trivial stuff trivial

[fluid violet]

Then learn the non trivial stuff

[hushed vector]

can't: need the trivial stuff
and for trivial stuff i planned to motivate myself with some cryptography

why do you think u know more about my motivation system than i do?

[fluid violet]

I mean you could probably find some book on elementary number theory and cryptography

[hushed vector]

yess
exactly what my question was about 🥹

[fluid violet]

But alas if you want to learn something, you need the prerequisites

And without basic abs alg you're not getting far

[hushed vector]

I could come back later to fill in the gaps ;3

[fluid violet]

Okie found you one

"An introduction to cryptography, second edition" in "discrete math and its applications"

Judging by the existence of its first chapter I don't think it requires too much

[hushed vector]

many thankies fox

[wet sentinel]

if you want something that gets quickly to the point and with rather fast pacing so that you can get over the trivial stuff rq then maybe try lang's algebra for the algebra part

[hushed vector]

awww
thank u for the suggestion!!!

[wet sentinel]

i am using it rn, its quick but sometimes hard to follow immediately. Though if you follow immediately then you will probably get over things rather quickly

(and if you dont follow quickly dont get discouraged since the textbook is on the hard side, its intended for grad students although it covers things from the ground up)

[fierce thistle]

hi, undergrad here who is going to start a course on combinatorics, any good textbooks that offer both lessons and practices? any reccommendations would be much appreciated!

[cunning elk]

bona a walk through combinatorics seems to be pretty standard

[fierce thistle]

thanks!

[cunning elk]

np

[scarlet tundra]

Intimidated by real analysis. My background is in applied neuroscience, finance and ml so it’s inevitable for me. Any recs?

[radiant marlin]

abbott for a friendly intro

[scarlet tundra]

Thanks!

[jolly dawn]

I also second Abbott. I finished chapter 7 and the learning experience was great 👍.

Also, anyone have suggestions on what textbook to use to teach my friend linear algebra and multivariable calculus? He knows up to calc 2 and how to multiply matrices. He says he needs it to understand the mathematical techniques used in biology research, which come up quite often when he reads papers

[median prawn]

Im sleepy asl

Try reading the midnight library

Such a good book

[dense fjord]

Heya, would anyone be able to recommend decent books or online courses to quickly learn Multivariable Calculus, Differential Equations (ODEs and PDEs), and Linear Algebra? Im doing a Masters in Computational Sciences thats really math heavy and Ive only done Intro to Linear Algebra and up to Calculus 2 in my Bachelors. Im hoping to be somwhat up to speed in a month so I can at least understand whats going on in lectures.

I dont really need rigorous proofs, just to understand the concepts and how to apply them

[remote sparrow]

#book-recommendations message

it may also help to read about manifolds and differential forms in particular

loring tu's book on manifolds, bott and tu, and wedhorn's Manifolds, Sheaves, and Cohomology could be useful

a homological algebra book like rotman or weibel would be good to keep around

oh for sure commutative algebra books at least when you get to scheme-theoretic AG

altman and kleiman, eisenbud, and matsumura are good

[white heath]

Who is the author

[scarlet tundra]

Looks heartbreaking

[molten gulch]

Friedberg insel and spence

for LA

[jolly dawn]

Thanks 🙏 I'll take a look🤔

[gray gazelle]

Hey guys i really want some recommendations for some algebra and precalc books that are entry level🥲🩷

[molten gulch]

openstax algebra, lang basic mathematics

[gray gazelle]

Do you have any links?

[molten gulch]

https://openstax.org/subjects/math

[shrewd basin]

any book recommendation for number theories

especially in Vietnamese :)

[molten gulch]

Not in VN, but you can take a look at ireland and rosen, apostol, or if you need something easier, burton or silverman

[shrewd basin]

is it available in pdf or i need to buy it ?

[molten gulch]

I can't tell you how to find them because that'd be against server rules, but yes you can buy them

[shrewd basin]

oh

kk

anyways thanks for help love you :>

[gray gazelle]

Thank you twin

[bright epoch]

Uhhh it was a while ago, something tucker maybe?

[normal crystal]

@green aurora
"This is the backup website for judsonbooks.org. The primary website should be up and running by the end of November 2025."
https://twjudson.github.io

[scarlet geyser]

hello guys i need this book pdf: C# 12 and .NET 8 – Modern Cross-Platform Development how i get this. ?

[lament bough]

i want help

with my book

if anyone has an oxford think maths book 8th edition

[molten gulch]

<@&268886789983436800> two users requesting pirated materials

[real marsh]

What do you need help with with it?

[real marsh]

You can get it by purchasing it from the publisher

[scarlet geyser]

oh thx i found it

[molten gulch]

https://www.reddit.com/r/csharp/comments/1h5wu15/did_you_buy_the_book_because_i_did_and_its_a/ also some people saying this book is trash

[scarlet geyser]

oh but why thx for info o search again

[daring wolf]

imagine buying a book for programming
there are so much much greater materials online

[molten gulch]

I just searched the name of the book and also immediately found an amazon link

[daring wolf]

it's literal waste

[molten gulch]

so like

you could've gotten the amazon link yourself

[molten gulch]

Eh I think books on PL theory are good, but raw PL sucks

I mean, I really like CLRS for algos

[scarlet geyser]

who say i bought xD

[molten gulch]

Don't discuss piracy here

[scarlet geyser]

what is your recommnation for C#?

[scarlet geyser]

dont worry i didnt say nothing

[molten gulch]

Microsoft developer network

[scarlet geyser]

thx man

[molten gulch]

https://learn.microsoft.com/en-us/visualstudio/get-started/csharp/?view=vs-2022
https://learn.microsoft.com/en-us/dotnet/csharp/specification/overview

TBH all you EVER need is that second link, the C# specification. I wouldn't trust a tutorial or beginner book. To know a language you should know how it ticks, read the spec front to back

I almost always recommend specifications to people looking to learn a language, no geeksforgeeks, no random tutorials online, learn some basic TCS, then learn a bit of basic control flow, then read the compiler source code of your language of choice, in many cases it should be pretty easy to read, unless it's C++ source

https://www.open-std.org/jtc1/sc22/wg21/docs/papers/2023/n4950.pdf (C++ spec)
https://www.open-std.org/jtc1/sc22/wg14/www/docs/n3220.pdf (C spec)
https://docs.oracle.com/javase/specs/jls/se25/jls25.pdf (Java 25 spec)
https://docs.oracle.com/javase/specs/jvms/se8/html/ (JVM spec)
https://learn.microsoft.com/en-us/dotnet/csharp/specification/overview (C# language spec)
https://learn.microsoft.com/en-us/dotnet/standard/clr (CLR and dotnet (MS equivalent of JVM) docs)
https://doc.rust-lang.org/reference/ (Rust spec is in progress, use the reference until then)
https://www.haskell.org/definition/haskell2010.pdf (Haskell 2010 language report, basically their spec)
https://docs.python.org/3/reference/index.html (Python also has a reference in lieu of a spec, use it)
https://ecma-international.org/wp-content/uploads/ECMA-262_16th_edition_june_2025.pdf (ECMAScript/JavaScript spec)

Normally once you know the core of a language inside and out, all you ever should need API docs for is to find functions or obscure behaviour

[scarlet geyser]

oh bro thx

bro The C# Player’s Guide i found this did you recommend this ?

[molten gulch]

No

Nothing but the spec and API docs

not even microsoft's own tutorials (you can do 'em if you want)

[scarlet geyser]

okey i got it

[molten gulch]

Press X to doubt, I've only ever read one programming book

[sage python]

I kinda am liking "Data Structures and Algorithms in Python" by Goodrich and a couple of other people

[molten gulch]

Oh yeah this was the book I read when I started programming

it was quite fun

Tho tbh I still prefer CLRS when I need to just quickly find algos

[wet sentinel]

imagine learning programming

[sage python]

I need to learn it quickly for the sake of job apps

[molten gulch]

Let's not (purely because this (emotional programming) is actually a thing done in cults and can leave people with lifelong trauma)

[sage python]

Long run I'll probably try to learn Assembly/C(++) and really get into how computers work under the hood

[molten gulch]

Ooh yes this is very very fun, I'd absolutely recommend learning some x86 and C

I'm enjoying my comp arch class rn

[scarlet geyser]

also i started leran new c# for backend

[sage python]

But for now I just wanna review Python fast and learn enough DSA to do Leetcode for interviews

[scarlet geyser]

omg bro you say these books is good but other say not (((

😩

[sage python]

I think this was meant as computer programming given the context

[molten gulch]

I know, I just felt a bit icky at the joke so I pointed it out, that's all

[molten gulch]

It's because different people prefer to learn in different ways. I personally prefer reading more theoretical texts that might just have pseudocode and figuring out how to put it together in my language of choice

Others might prefer to see some snippets of code in an actual language put it, that's all

Excuse my previous harsh words, but tutorials and guides and code snippets aren't inherently bad, I just personally am not a fan. If they help you, more power to you

[scarlet geyser]

Ah, I understand. Thank you for sharing your thoughts. It was really important for me. I’ve also just started learning, and I prefer focusing on learning the structures because I feel I have some gaps in that area. That’s why I wanted to get some advice. Thanks again.

[molten gulch]

In that case, I'd suggest going through the microsoft C# tutorials above and NOT the reference, I'd also suggest looking at API docs and such as they tend to have examples of how to/when to use certain functions

Get a good grip of OOP programming principles, as C# is primarily an OOP language, though it's technically multiparadigm

[scarlet geyser]

ha, okay. I got it. This comment is so helpful for me.

[quick jewel]

What undergrad book would you recommend for p-adics

I found this one, I’ve got no clue how good (or bad) it is

[fluid violet]

Oh wow channel got stinky

[floral lantern]

good undergrad-level books with no analysis or algebra prerequisite (but you can assume maturity at the level of someone who's taken the course)?

everyone in the independent study has taken one of algebra/analysis/topology but there's not one everyone has taken

also need online free books

[bright epoch]

generatingfunctionology

there's a little bit of analysis but not anything heavy

[wet sentinel]

if you want try apostol's analytic number theory

[bright epoch]

and it's a good thing to read as an undergrad because being familiar with genfuncts is good

[fluid violet]

Rautenberg logic

[wet sentinel]

you can get away with multivariable calculus from what i hear

but also you should probably study analysis, algebra and topology

idk why you are avoiding them (?) but without them you can only do a few things

[floral lantern]

no like this is for an independent study with a professor

people in the group have taken various subsets of analysis algebra topology

but there's no uniform thing everyone has taken

[bright epoch]

Does the professor have suggestions or stuff they want to do

[wet sentinel]

ah so you cant take them anymore or something like that?

[floral lantern]

well for the independent study we're kind of stuck with the prereqs (this isa t a hgih school so)

[floral lantern]

right now we're scheduled for complex analysis but other options would be nice

because I think most of us will be bored with how easy the book is

[wet sentinel]

i see, then apostol's introduction to analytic nt may be good

you can take a look at it and decide if its suitable/nice etc.. or no

[floral lantern]

ok ty

[wet sentinel]

though i am not sure if its legally freely available online or no

[hushed vector]

everything is
if u use a vpn to a contry where it is legally available

[quick jewel]

[wet sentinel]

in general any book is available if you search in the right way

[gray gazelle]

used or old editions are so cheap tbh

[hushed vector]

Knowledge should be free

especially since textbook authors are paid / checks notes / almost nothing

or they are gifted a printed version of their book

ouch, not their anymore
because fucking publishing companies require u to surrender ur copyright rights to them

[molten gulch]

Switch major? Isn't that normally only if you fail a class repeatedly or like...aren't allowed to take it? I know some kids at my uni who have some disagreements with profs or whatever but everyone's civil in class

[gray gazelle]

how would they know you are pirating ? do they ask for a receipt of the textbook?!

or do you mean people torrenting on a school network? idk

[hushed vector]

what 😭

kick u out if u pirated someone else's book!?!!

that's... _dedication _

i just really don't understand their motivation for such immoral behavior

"big corps aren't getting paid?!?!?!" 😭

[vague granite]

strauss pdes if people have diffeq experience

[floral lantern]

Who willingly wants to do this bro

[molten gulch]

Hopefully most undergrads in mathematics?

[floral lantern]

PDEs 🥀

[ornate jewel]

Could someone recommend me an introduction to combinatorics, especially to permutations and basic counting? I would really appreciate it

[violet shuttle]

Though I pirate the other case seems pretty obvious to me - but, well, so does the case for not stealing from Walmart. Though with piracy of academic stuff, plausibly the author literally gets nothing.

[random estuary]

could anyone recommend me calc textbooks that wouldn't be overbearing for a beginner? (I'd prefer if there were a lot of problems)

[bright epoch]

that's wild

in my undergrad my professor sent us a very clearly pirated copy of a textbook

(note: not our textbook, it was an "optional homework check out so and so and do these exercises")

[vital bane]

the P in PDEs stands for Peak

https://tenor.com/view/me-atrapaste-es-cine-its-cinema-cinema-esto-es-cine-gif-17729711691959966457

He's calling you dumb

fight him

That's a thing in ENS though

fr

CMI has only double majors it's either math + CS or math + physics, that's it

Over here as in EU or Sweden?

or Switzerland?

or South Korea?

[iron cloud]

If its not free force it to be free ...

[hushed vector]

pretty much what some piracy providers are doing with IPFS

[molten gulch]

I know quite a few double and even 1 triple major at my uni

doesn't seem that rare

[urban hemlock]

Calc stands for calculator btw guys

[wet sentinel]

i mean how is the prof supposed to know what textbooks you have and if they are legal or no lol

[remote sparrow]

https://milneopentextbooks.org/a-friendly-introduction-to-mathematical-logic/

#book-recommendations message

[wet sentinel]

like if someone tells the prof that much then they deserve getting kicked out of class ngl

[vague granite]

on everyones soul pdes are interesting 🥹

[gray gazelle]

ive never had a course where i needed to bring a textbook. thats fascinating

ahh maybe i have now that i think about it ...

[cunning elk]

high school ahh textbook requirement 😭😭

[wet sentinel]

does he kick students who dont have a book out too?

does your teacher also kick students out?

no like you should get the book

but maybe without spending. (that much)

is it not found out there since its new?

i see

LMAO what

how did the prof get to assign this book in that case lol

ah i see, thats the only reasonable explanation

yea then you can only hope for a way to appear until then

i mean in the worst case scenario you can just follow another book ig (?). I mean its not like bro is inventing new material to teach

hmmm

are you trying to let me tell you to just buy the book?

[merry sphinx]

Prof is not being paid enough

Gotta get the students to pay extra for class

[fading mango]

Like if u pirate a textbook? But how will they know?

I loled at this

He made the book and can't give it for free? Seems like he just wants to make a good bag out of his students.

[fair fiber]

it's kind of funny

pure math professors distribute their material for free

engineers and applied mathematicians don't

[fading mango]

Report him

Lol

[fair fiber]

this perfectly explains sour potato

[fading mango]

I wonder if that's a thing

If it was me, I'd distribute it to my students for free

Then again, I'm an avid pirater

I get anything for free when I can

[fair fiber]

yea but tbh it's easier to say before youu spend 500-1000 hours writing the book

[fading mango]

Hmm

I haven't done that

But why would I enforce this specific book to my students which I made 8 hours ago

Then expect them to pay

After they paid tens of thousands

In tuition

[fair fiber]

i've spoken to some professors here and they say even if you've written everything and put all the effort, it's a huge hassle to deal with publishers etc. so i can see why some are like i better get paid

[fair fiber]

tuition here is free

[fading mango]

Oh wow

You're complaining about a 35$ book and you get free tuition

[fair fiber]

i am yes

[fading mango]

You don't have the right bro 😭😭😭

Be glad the book isn't 9000$

[fair fiber]

https://tenor.com/view/skill-issue-urge-resist-cat-gif-25536160

[fair fiber]

i already dropped ode to avoid buying the 40$ book

[fading mango]

...

Couldn't you learn it for free some other way

[fair fiber]

i mean

not really

[fading mango]

Or less than 40$

[fair fiber]

i guess i could team up with 3-4 friends and buy the book

but

[fading mango]

Maybe you're not good at pirating

[fair fiber]

nah

[fair fiber]

haha

if you can pirate the book

[fading mango]

I didn't spend a dime on my studies

[fair fiber]

i'll paypal you 20$

[fading mango]

Well some of it was passed down

Some of it was paid for by school

Some of it my teacher gave us the pdfs for

[fair fiber]

it's easy to pirate if the book is well known 10000 downloads

[fading mango]

[fair fiber]

if the book is made in the remote northern parts of europe and used by like 2 universities

[fading mango]

I mean u could pirate another book

[fair fiber]

much harder

[fading mango]

Which teaches the same thing

[fair fiber]

nah it's kind of impractical

like the exercises they do are taken from the book

[fading mango]

But then u have to drop ode

Which is fine if u didn't need it

But

[fair fiber]

i don't need it

[fading mango]

I think that shouldn't be the reason to drop ode

[fair fiber]

i might be able to take ode next sem anyway

as distance

it won't be as proof based as the one in my uni tho 💔

[gray gazelle]

What book is good for maths 1?

Im seeing intervals and cartesian planes with a book named metodo de graficacion by pedro alson

[gray gazelle]

what are some good books that cover things like intervals, how to read graphs, and things like functions such as polynomials, rational, trig and exponential functions, composite and inverse functions along with their graphs?

[scenic ingot]

Rudin Real and Complex Analysis

[vital bane]

So true

[scenic ingot]

Ikr

[fair fiber]

Nil ideal > nil potent

[molten gulch]

lang's basic mathematics

or any book on precalc like from openstax

[indigo blade]

howdy
is there any article/book/blog that explain mathematical sums in depth ?
i only know concrete mathematics have a dedicated chapter for it

[rigid trail]

What kinds of sums?

[indigo blade]

sums of finite sequence of real numbers that produce another real number

[rigid trail]

finite sequences?

that's regular addition, done a finite number of times?

what abt it?

[indigo blade]

well yeah represented by sigma sign

[rigid trail]

Yeah

well

sigma sign just means what it means idk

[indigo blade]

i mean there are some manipulation you can do especially if multiple sums are involved

[rigid trail]

you add up the numbers, for each index

[rigid trail]

this is true

but what specifically are you looking for

[indigo blade]

just some manipulation tools presented with proofs

[rigid trail]

which manipulation tools, like bringing coefficients out? or telescoping? etc

[indigo blade]

yeah that

[rigid trail]

i dont know if there are books that do just things like that

what do you need the tools for

most math books would just prove tools like these on the side if at all

[west comet]

Axler’s algebra and trig

[trail void]

i just checked this book, its sort of like precalculus?

amazing reccomendation btw thank you

[prisma ibex]

since when did axler have an algebra book

[remote sparrow]

he's written books on high school mathematics since the 2010s

[prisma ibex]

thank you for letting me know

[remote sparrow]

yeah it's essentially the same material as his precalc book too

[trail void]

do u reckon i use it instead of stewart's precalc as i am gonna use stewart's calc later on

but axlers linear algebra

[prisma ibex]

it doesn’t really matter since it’s all the same material but maybe you should keep with stewart’s precalc since it’s nice to be familiar later on

also, it’s good.

[west comet]

But the precalculus one skipped tons of topics which are essential when you’re in high school and considering to learn it all that’s why I recommended the algebra & trig textbook instead of the precalculus

[west comet]

For me I made that mistake a long time ago I kept comparing textbooks but all of them are essentially the same, I think their editing team is just the same shit or something like a policy; like sour drop said axler is more concise while stewarts is more verbose and I dont like those which had tons of pictures it disturbs such learning..

If you like a textbook with no colors

You could try stitz zeager precalc

[trail void]

i just like the way authors write more

[west comet]

It is kinda rigorous since its very straightforward

[west comet]

For me tho the most best textbook out there is the Art Of Problem Solving

If you have time tho

To invest tons of time

I like their pedagogy especially

[trail void]

cant find their pdfs

theyre too blurry

and massive

[west comet]

But I had to give it up it’s kinda too late to read those book… I am kinda rushing and it doesnt align my goals

[trail void]

i think i'll just read axler alg and trig and then go direct into calc by js

[fair fiber]

Fr it is sad

[west comet]

My friend “anna” who had an “archive” had those great quality just download tons 👀

Hope you understand my message

[trail void]

i had a friend z and he was an librarian and he did not

[west comet]

If you don’t I guess you are in bad luck

[west comet]

I would recommend my friend anna

Friend z is kinda shit in quality

[trail void]

do u reckon it is good for speedtraining / olympiads more?

i feel that solving most questions on axler and stewart is the same if not better

[west comet]

I tell you it is fucking great in anything

High tier for everything bro

Like I said their layout is really good

They don’t drown problems

In fact they give the lesson so good Idk I can’t compare them to other HS books

[trail void]

do you think i should pair it up with my other textbooks?

[west comet]

Nope

In fact they’re kinda good

[trail void]

i looked them up and apparently theyre really good for exceptional tactics and strat

[west comet]

But

If you have trouble with some lessons

It is best and good to check out some other sources

So you can broaden your wisdom

I mostly check on khan or random videos on yt about some particular topic and then yea resume back to the book

[trail void]

ill probably checkout vol 2 of aops

i dont rlly enjoy the idea of participating in competitions but i wld infact like speed and more strategy

even if it takes a bit more time

[west comet]

I did not consider a factor that you’re joining a competition

Also aops v1 and v2 is mostly really for comp

[trail void]

which books do u reccomend then

[west comet]

What level r u?

Do you know how to solve quadratic equations?

[trail void]

precalc going to calc

yeah

[west comet]

Intermediate algebra

And their precalc book

Thats it

[trail void]

isnt pre calc and intermediate algebra same coverager

[west comet]

For aops no

[trail void]

why?

[west comet]

Inter algebra only has those advanced strats and tactics like am-gm

It doesn’t have trigonometry

[trail void]

and i assume they have trig in pre calc

shldnt i also read their geometry then

[west comet]

Yes

[west comet]

Nope no

[trail void]

and do u recommend their calc

[west comet]

Yes

[gray gazelle]

bruh why you looking for more books

[west comet]

But if I were you I would probably buy a textbook like Stewarts

Stewarts calculus

[trail void]

im quite masochistic when it comes to books sowwy

[west comet]

Just do them first

[trail void]

already bought thomas and stewart

[gray gazelle]

but yeah i think i prefer thomas calculus on stewart any day

[trail void]

isnt the dictionary on stewart better

[gray gazelle]

thomas has good problems and longer ones

[trail void]

why thomas

[west comet]

Before going to calculus

[gray gazelle]

much harder

and more problems

[west comet]

Does it have tons of pictures?

[trail void]

both of them do tbh

[gray gazelle]

yeah its just stewart but on steroids

[trail void]

im gonna do both thomas and stewart i'll let yk which one i find better

[gray gazelle]

many many more problems

[west comet]

I dont like tons of ahh pictures

That they recommend on sides

Like wtf I need to read em

[gray gazelle]

same tbh but it not got too many its more rigorous then stewart with emphasis on proofs

[west comet]

If not I probably will be missing some things

[fair fiber]

Name an pfp r such a misnatch lmfao

[gray gazelle]

should i change to "Rose"

[fair fiber]

Rose or like

[west comet]

For physics which one is more good?

[fair fiber]

Idk

[west comet]

I dislike proofs

[gray gazelle]

def go for thomas any day any time, even if u don;t like proofs

i mean good to have more then having less

[fair fiber]

[trail void]

isnt the dictionary for higher maths better on stewart tho

[west comet]

Sorry bro Im preparing for Ipho

[fair fiber]

Good luck bro get gold and go to mit

[west comet]

I just dislike proofs when basic mathematics cooked me some congruences proof

[gray gazelle]

from where is this dictionary from

lmao

[trail void]

my friend was saying

😭

for example thomas says inputs and outputs instead of domain and range

[gray gazelle]

"basic mathematics" by serge lang? the legend?

[west comet]

Yes

[gray gazelle]

lmao who said this

[west comet]

But im doing axler now

[trail void]

reddit

[gray gazelle]

same?!?!?

[west comet]

I gave up that book months ago

[gray gazelle]

Axler the linear algebra??!

[west comet]

No

Algebra & trig by acler

[gray gazelle]

bruh

[west comet]

Axler

[gray gazelle]

lmao

[trail void]

he will get to it someday trust

[gray gazelle]

did u not read the whol ebasic mathematics

[west comet]

No

[trail void]

i remember being able to do 8000 pages a month of hardcore daoist texts last year

i was on adhd meds

[gray gazelle]

idk man but this is misinfo

[trail void]

if i recall

[west comet]

I got stucked on the first chapter

[trail void]

im gonna go buy them again

[west comet]

It did warned me tho

That its more dry on the first chapter

[trail void]

im being fr

adhd meds are game changer

[west comet]

Its not aligned on my goals so Im doing axler

[gray gazelle]

basic mathematics was my entry point to the world of proofs and some real mathematics

@fair fiber LMFAO

bro couldn't help it

[gray gazelle]

tbh its good

good enough

you gonna be doing physics anyways so just

[west comet]

Good enough to kill me

[gray gazelle]

lmao

[daring wolf]

[west comet]

I was stuck on section 3 kept searching how to do this particular bullshit congruence thing

[gray gazelle]

congruence? what kinda of congruence

iirc there is no geometry in

axler

[west comet]

Lang did not really explained it

[gray gazelle]

bro he did

[west comet]

Congruence modulo on serge lang

[gray gazelle]

oh

bro

[west comet]

What?

[gray gazelle]

its been a while

i don't remember if it did or not

hm

but i do remember initial problems were a struggle

[west comet]

I do like him for explaining things concretely but sometimes when he prune into some things I dont get all of the signals lol

[normal crystal]

Gary
bro
lang bro
bro
it's serge lang
bro
bro bro

[gray gazelle]

@normal crystal do u remember my journey

through the book

[west comet]

Bro

Bro

[gray gazelle]

[west comet]

Bro

[gray gazelle]

sup

[molten gulch]

Congruence here as in congruence relations

[west comet]

Sup

Anyway thats why I gave up one that book

And doing axler and I am happy

[gray gazelle]

i think lang did it the way of

if u can take the object and cover the other one

by using the operators

like translations, rotation

then they are congruent

LANG NOT AXLER

sorry

[west comet]

Hell nah bro I still dont understand congruence

[gray gazelle]

lmao

[west comet]

Probably when I finish my book

Math sorcerer had this proof on sum video

[gray gazelle]

here

[west comet]

But I still didn’t understand it how the fuck the process happened

[west comet]

Oh not that one

[gray gazelle]

oh

[west comet]

It was on multiplicative inverse I think if I remember the trauma correctly

[gray gazelle]

lmao

[west comet]

1.3

Or 1.2

[gray gazelle]

so it was quite early in the book

lmao

[west comet]

Yea it cooked me

[molten gulch]

How so?

[west comet]

Didn’t understand it for weeks

[trail void]

@west cometcheck dms

[tender stag]

Does anyone got a good book about absolute value, and how to deal with it in equations?

[tender river]

you can pick up some calculus books and try to do the exercises

[half fox]

hey can anyone recomand a book for sets theory?

[novel fern]

hey hey hey ppl

needed books

I have my syllabus smtg like this and it is intermixed in each question... so I wanted a text with all of it... cause no lecturer or video has proved to be helpful tbh:

Algebra

• Sets, Relations, and Functions
• Complex Numbers & Quadratic Equations
• Matrices and Determinants
• Permutations and Combinations
• Binomial Theorem
• Sequence and Series (AP, GP, HP, Sums of special series)
• Probability and Statistics (Measures of dispersion, Bayes' theorem, distributions)

Calculus

• Limits, Continuity, and Differentiability
• Applications of Derivatives (Tangents, Normals, Maxima/Minima)
• Integral Calculus (Indefinite/definite integrals, area under curves)
• Differential Equations (Order, degree, formation, solution methods)

Coordinate Geometry

• Two-Dimensional Geometry (Straight lines, circles, parabola, ellipse, hyperbola)
• Three-Dimensional Geometry (Coordinates, lines, planes, shortest distance, coplanar lines)
• Vector Algebra (Addition, dot and cross products, scalar/vector triple product)

Trigonometry

• Trigonometrical Identities and Equations
• Trigonometric Functions & Inverse Trigonometric Functions
• Properties of Triangles

[gray gazelle]

That’s like

College algebra, pre calculus and calculus

Stuff

Just get books for those I suppose

And books for them are so asked so much so u can just search it in the message search

And find the results

Calculus part is just ugh not even calc 2 ish

Won’t have to do all of the calc

Weirdly enough this syllabus has vector algebra but not vector calculus

So that can be covered just from pre calculus book

Same for coordinate geometry and the 3d

[fair fiber]

bro thinks he's. an anime girl

[gray gazelle]

Got the whole setup

[gray gazelle]

I yet to think of a username

[fair fiber]

hold on a minute

I recognize that person

https://tenor.com/view/textmagic-gus-gus-fring-breaking-bad-i-know-what-kind-of-man-you-are-gif-15069093119843045871

[gray gazelle]

[fair fiber]

[gray gazelle]

[fair fiber]

mods ban this man

[gray gazelle]

Bruh tryna create opps out there

[fair fiber]

if you have an anime girl pfp then we are basically enemies

[gray gazelle]

Tbh I can respect that

[old elk]

Wish me luck on this trip, I'll start little by little :3

[fair fiber]

bad luck

[hushed vector]

hey
don't be rude

we are niceys here ok??

[sage kelp]

Any thoughts on Multivariable Calculus by Shimamoto?

[molten gulch]

Never heard of it

I personally used Vector Calculus, Linear Algebra, and Differential Forms by Hubbard and Hubbard

[sage kelp]

Content in Hubbard looks good but I'm not a huge fan of their writing style

https://open.umn.edu/opentextbooks/textbooks/780

This is the one I was talking about

[fair fiber]

to everyone except you

[sage kelp]

Different question, what is the standard graduate level textbook on Algebra?

[molten gulch]

lang

There's also jacobson, rotman, hungerford, etc...

[sage kelp]

But mainly Lang?

[hushed vector]

@tribal crow he isn't being nice to me ):

[foggy quest]

Dummit and Foote for the first semester

[fair fiber]

aw hell nah

that book is terrible

😠

[foggy quest]

My uni uses it for years now

I've never read it

[fair fiber]

the uni where i took algebra used it as well

i will never forgive them fr

[sage kelp]

In Analysis it is pretty clear. But I think I have found several options for algebra. Some indeed use Dummit and Foote

[molten gulch]

I mean, there's lots of good analysis texts too

[old elk]

I think the real analysis course is very well-established, meaning there are a lot of books that explain the analysis course excellently, and the subject matter is well-organized.

[sage kelp]

analysis is always Folland

[old elk]

The change is that abstract algebra is not like that; there are books that combine linear algebra or books that explain the topics differently, and so on.

[molten gulch]

I've heard of Rudin's RCA used too, there's also several other common analysis texts

[old elk]

That's why I haven't found the best book for the course, I would say.

The closest thing has been Thomas Judson and Gallian

[molten gulch]

Those are very very introductory texts, though, in my opinion

They lack depth

[old elk]

You're right, but as my advisor said, the important thing is the starting point and mathematical thinking.

[molten gulch]

Agreed

[old elk]

Building mathematical thinking is very difficult; for example, I have struggled to understand abstract algebra, and especially the way the theorems were proven in the area of cyclic groups.

From my mathematical thinking, but I've had the rhythm

[sage kelp]

What other books besides Folland are normally used?

[molten gulch]

Rudin, Royden. Axler, Schilling, Stein

[mossy tiger]

Wait so you did develop your mathematical thinking?

[heady ember]

That's a Grass-tier pun right there

[mossy tiger]

So it is possible to do that...

[old elk]

That takes time to build, it doesn't happen overnight. I even had to ask my advisor some things, which was a bit annoying because it wasn't related to my thesis work 🤣

[old elk]

There are many analysis books that I believe anyone with a good mathematical background in logic and set theory can understand.

Real analysis by Jay Cummings
Sequence and series by Ana Alves
Basic Real analysis by Sohrab
A Concise Approach to Mathematical Analysis by Mangatiana Robdera

I think these are the best; they're my favorites.

Now, there are other real analysis books that discuss measure theory; I also have them if you search for this topic. It should be noted that I am not up to date on this subject.

[small garnet]

Ive been looking into this too and i got recommended Book of Proof by Richard Hammack for the purpose of logic and set theory

is there any other ways you would recommend to go about getting the necessary background in logic&set theory?

[novel fern]

ya ok... analytic geometry from college algebra i suppose huh... AOPS is good for this na? I want that level or above that

[sage kelp]

Yeah! That would be very helpful

[old elk]

From my point of view, there are several factors: patience, reading well, and doing many examples.

Also study Jay Cummings' book, but with very, very, very careful attention you can stop to read a theorem, extract the data, formulate the hypothesis, and draw the implications yourself before continuing to read.

In the proofs, use the "wall method," that is, on the left, write the proof not exactly as written but in your own words, on the right, state the property, And in the last column you will state the theorem I used in your own words and prove it in the form of a sketch.

Do this with Jay Cummings' book on proofs; you don't need to read the whole book. Then move on to Richard and do the same thing, but with a different approach. First, you'll do the demonstration.

On your own, since you'll have a foundation, not a solid one, but you'll have one, you can use the wall method as long as it flows naturally, and continue like this until you reach real analysis or advanced calculation.

The logic part is the construction I mentioned: hypotheses, implications, conditions, writing coherence, and Cohesion

[snow valley]

is fried berg Spence linear algebra book good as they say

[sage kelp]

Really good intro book

[molten gulch]

yes it's my favourite book on the subject

[snow valley]

maybe it doesn't just apply to that book but In general to gain understanding of topics do you have to do every exercise, or only the important ones

[molten gulch]

depends, most books don't denote their important exercises, so you need to decide what you find important

[snow valley]

i know it's a message to void, but I did try the book a try and was doing kind of decent like definition of functions from S to F but I kinda gave up on start of this section for example. Maybe I have gaps in my understanding?

[slow roost]

I could help you with that if you like, but we should probably move it over to #linear-algebra

[sick kelp]

What are the best books on Game Theory

[sage kelp]

Maybe

The proof only requires you to know how to work with arbitrary intersections

[snow valley]

I'd like that, thanks. Should I post same screenshot on that channel

[slow roost]

hey, sorry for the delay. Sure

[novel fern]

help guys
Ive read AOPS part on ellipse but I wanted to read more high level content... like line with ellipse and other juicy stuff... but other books dont teach stuff on problem solving they;re just slapping me with proofs... I get it that proofs are super important but I also wanna know the stuff intuitively...
Any help, even a lil bit is helpful
are there books for students trying to learn for engineering college and involves all of algebra, precalc, counting and calc necesarry in advanced levels? like super advanced and gives intuitive understanding like aops does?

🔥 🔥 🔥 🔥 🔥 🔥 🔥 🔥

[gray gazelle]

Ain’t readin allat 😭

[vital bane]

nice about me

[trail void]

Ana alvs and mangataiana robdera, whats special abt them

[shrewd basin]

guys whats your recommendation book about all the equations type stuff

[scenic sequoia]

?

[pale geode]

I have no idea what that means

https://link.springer.com/book/10.1007/978-3-030-70354-7

This book looks good

Cant buy it im broke

[void nacelle]

what books of mathematics are good to read on pdf?

[tacit torrent]

The ones you can acquire in pdf form

[void nacelle]

yeah, but what topics are interesting to study on mathematics?

[tacit torrent]

I mean, you're gonna have to decide that for yourself

I particularly find type theory and compilers quite interesting, and they are mathy enough

[void nacelle]

you have pdf files of this topic?

[tacit torrent]

Hmm, i don't think those can be shared here

Sorry

[wet sentinel]

as cubedLambda said, you have to decide which topics are interesting to you. Though first you should go through some standard stuff which are the basics that give you the necessary background to study more advanced and interesting topics

[trail void]

start with foundation (geometry, algebra, trig, precalculus, calculus, linear algebra, logic and set theory or discrete math)