book-recommendations

[viral knoll]

absolute banger

whats your background

[vestal junco]

Spivak

Ish

Still working through it

[viral knoll]

Id suggest you use abott first

its friendly

and tao is mainly an exercise type book

has a lot projects to work on

If you want more rigour, try bartle and sherbert. It's a good intro if you know how to write proofs

[foggy wolf]

i hate doing proofs but sadly they are what makes maths be maths

[viral knoll]

I mean

without proofs, i cannot ingest a statement

[foggy wolf]

prove it

[viral knoll]

and you know it sounds odd but if you have an intuition on how that works, you can lay an outline to the proof

sometimes the inner rigour really doesnt go against your intuition

[foggy wolf]

I told you to prove that you cannot ingest a statement without proof

[viral knoll]

suppose theres a statement S. I ingest it without a proof. Now proving S required theorem G, which I skipped. Also technique T. I am asked to solve a problem P which requires G but S goes really beyond the scope of P. Here is exactly we get stuck

Light humour btw

dont take it to the heart

[foggy wolf]

aside from jokes I never actually go by proofs and try to invent my own

[viral knoll]

Thats what I usually do

and by that

you will eventually learn how to prove it

[foggy wolf]

to defeat what you hate you must become what you hate

[viral knoll]

real

and yknn what

its really creative

ong

[foggy wolf]

imagine you goof around and you accidentally actually prove it normally

[viral knoll]

and when you check, the author actually used the same stuff to prove

https://tenor.com/view/alice-vector-sword-art-online-power-gif-15428767

original experience btw. thats how I felt aftert that

[foggy wolf]

as much as I want to become a professional mathematician I probably won't do it because it's so time consuming and 99% chance you wont do anything and will remain the smallest speck of dust in society

[viral knoll]

I'll still try lol

[foggy wolf]

even those who actually accomplish insanity never get the fame they deserve

[viral knoll]

Lets see where I end

[viral knoll]

Yeah, but atleast you did something which helped billions

[foggy wolf]

like that guy who proved a^n+b^n=c^n where n>2

[viral knoll]

Oh no

[foggy wolf]

I literally forgot his name

[viral knoll]

we al know andrew wiles

infact

[foggy wolf]

average person doesn't

[viral knoll]

the lecturer of mine talks about him

[viral knoll]

True

[foggy wolf]

and you're not going to be finding another gregori perelman for like a hundred years

the world of math in real society is quite harsh

[craggy crown]

I recommend the book = Perfume: The Story of a Murderer

[foggy wolf]

mathematicians be wishing they could visit the imaginary society

what.

[tiny gulch]

I did!

[tender river]

if youre gonna use a bartle book use his older classic- the elements of real analysis. especially considering youre already working through spivak it is unlikely theres much more to learn from abbott, tao and the other bartle book all of which are at the same level as spivak

[vestal junco]

Also any book that the local physicists here recommend for learning about oscillations rigorously

Been quite interested after working through chapter 4 of Morin

[boreal cape]

Is Spivak's Calculus a good book for a first course in Calculus while self studying?

[vestal junco]

Like from scratch?

Probably not

[boreal cape]

Oh!
Can you recommend me some good book or books for Calculus (Single Variable and Multi Variable both)?

[shadow lantern]

hi guys i want to learn calculus, but the thing is I have forgotten most of algebra/trig. I tried to go through axler’s precalc but I feel like it doesnt explain why a particular problem is solved in a particular way for example to find all numbers that satisfy x for |x-3|+|x-4| = 1. the solution was given but it didnt explain why it was divided into 3 cases, solve for x>4,x<3 and 3<=x<=4. i think the same type of problem was explained in a better way in aops book. i feel like i should stick with aops books but there is three of them(intro/intermediate algebra and precal). are these three necessary to start calc or can i skip intermediate one? almost 1.5k pages feels too much 😭, and i feel like it will take a lot of time. im self learning btw. i could spend like max 2 hr per day for math

[merry sphinx]

i just used khan academy for all precalc stuff, it went by fast

[cold shore]

Hey everyone 👋

I'm an 8 th grader and I recently started number theory

Would anyone be able to recommend me a book with simple language??

[molten gulch]

burton elementary number theory

[old elk]

Guys, what books do you recommend for studying complex variables in analysis and calculus?

[molten gulch]

Stein and Shakarchi

[karmic basalt]

What's the best book for graph theory?

[foggy quest]

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

[rich sun]

Jean-Baptiste Grenouille

[rotund ledge]

I did arithmetic on khan academy and really liked it. But for algebra it seems like there are multiple sections like algebra1,2, algebra basics, trigonometry and the precalc

[merry sphinx]

i think just alg 1, alg 2 minus trig, + the trig unit, + some parts of precalc (like higher degree polynomials and rational functions) are all you need

[molten gulch]

diestel or bollobas are good, check the contents, they both focus on different aspect of graphs

[visual stirrup]

Hey, any book advice to start studying general topology ? I already know a bit since I have studied normed vector spaces and metric spaces but no general topology

(please ping me if you have an idea)

[thorny zinc]

hi

[minor ridge]

Greetings, Fellow Earthlings.

I found this book online by Cambridge Uni (NOT SURE) on math for machine learning

https://mml-book.github.io/book/mml-book.pdf

can anyone tell me if this is good to be read by someone that just completed his grade 12th and is joining engineering

and does this cover all the essential/advanced math concepts required for an AI Engineer?

[timber mesa]

I think it does, the level of detail in the math chapters isn't much but it's just enough to show what's really necessary to understand modern numerical methods, particularly those involved in ML packages, so you're expected to cover it by either having already read other books or doing so while you read this one

if you've just completed grade 12 you might want to complete the equivalent of a freshman math sequence in almost any uni, so calculus, linear algebra, discrete math

oh and probability, statistics

before tackling this one or in parallel while reading the first part

[timber mesa]

Munkres and Willard are two very good books imo, the first one aims to be more intuitive and is slower paced, while Willard is very condensed and expects you to unpack things yourself (while still providing proofs for most results)

so pick according to your liking

another fun book is this one in the pins -- teaches you some category theory in parallel

[remote sparrow]

why go back to thomas if you've already done spivak? try hubbard or shifrin instead

[wet sentinel]

does this require something like a first course in topology, or does it build everything from the ground up?

[timber mesa]

it's a bit fast paced but I'd say it does build everything from the ground up

(since it's a short book and I guess the main point of the authors was to introduce both point-set topology and categories in parallel)

[sturdy shore]

that book is graduate level; doesn't assume topology knowledge but does assume some math maturity

[wet sentinel]

so the only necessary prerequisite would be mathematical maturity?

[timber mesa]

yeah I guess so

[sturdy shore]

yeah pretty much

[timber mesa]

being able to parse and write proofs

[wet sentinel]

i see, alright tysm

[sturdy shore]

for someone who has never seen topology, probably best to use it alongside another book like willard imo, but if you want to blaze through point set ig it is an option to just use that

[timber mesa]

point-set is worth blazing through imo lol

this book is also interesting if you're up for a problem-solving focused approach to it or to complement some other textbook

[wet sentinel]

yea if it is possible to blaze through point-set without hurdles then why not xD

[visual stirrup]

thanks a lot !

[verbal phoenix]

anyone from the uk, are AOPS books worth it for senior maths challenges/BMO and university entrance exams, particularly MAT and STEP? also if i was to get them which ones cause they’re insanely expensive unless ofc you find them online

[sudden kindle]

That book is how I learned topology

[wide lance]

What book should I use to self study ap calculus bc

[torn blade]

math olys yes, entrance exams less so

[molten gulch]

thomas calculus

[wide lance]

Thank you

But what about AoPS

[pseudo heart]

hi everyone :] i already took a complex analysis class and got up to basic residues but we never rly did any proofs on exams, we used Complex Variables and Application by Brown and it wasnt my favorite, does anyone have any other recommendations on other books i could use to review/further my knowledge? ty in advance :]

[scarlet geyser]

hello guys

i need best Real Analysis Linear Algebra Calculus books

someone have any offer ?

[old elk]

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

This was recommended to me.

[pseudo heart]

tysm!!

[hushed spire]

Linear Algebra done right by axler (it's the one im studying rn). Real analysis by Tao or Understanding analysis by Abott

[molten gulch]

stein and shakarchi; freitag and busam

[amber crow]

Are there some e books for algebra for beginners???

[molten gulch]

artin

[daring wolf]

dummit and foote

[modern ruin]

munkres.

[daring wolf]

this type of quetion is not allowed in this server

remove it

[amber crow]

Ok

[tender river]

what grade are you in lilbro? what kind of algebra are you looking to learn

[amber crow]

Basic

[daring wolf]

basic by?

[amber crow]

For starters and I am gonna build that up

Ye idk

[tender river]

tf does that mean? Fucking jacobson calls his book basic

[daring wolf]

💀

[tender river]

do you have a course syllabus?

[amber crow]

FOR BEGINNERS

[daring wolf]

define beginners smh

[tender river]

What grade

[amber crow]

I know sum but not all yes?

[amber crow]

7-8

[tender river]

[daring wolf]

[amber crow]

?

[modern ruin]

why are yall being rude over this

[amber crow]

Yes

[tender river]

Yeah none of the recs so far is appropriate for you

[amber crow]

...

[tender river]

use khan academy or something

[daring wolf]

we're not doing on him, but on recs

[tender river]

theyre giving you uni level books

[daring wolf]

they were not appropriate

[modern ruin]

for things in the standard curriculum that come before calculus, i would just recomment khan academy instead of a book

i think khan academy is great.

[amber crow]

$\iiint_{-\infty}^{\infty} {dx}{dy}$
I still know smething but idk what this means

[hasty eagle]

NeoDashMix

[modern ruin]

lol

[amber crow]

Ye lol

[amber crow]

Same

[modern ruin]

okay, then that's what you should use for algebra.

[amber crow]

Oh ok

[modern ruin]

and remember to have fun with it

algebra is great imo

[amber crow]

Then ima go back to khan academy

[amber crow]

Ye

[tender river]

theres a bunch of free books here https://realnotcomplex.com/basics/algebra you can use any

[amber crow]

My mather teacher loves algebra

And I wanna show her, WHAT U CAN DOOO

[amber crow]

Thx man

Thank yall very much

[cunning elk]

would it be too much hassle to add a bot command basically saying "the pre-university curriculum is so oversaturated online that you're bound to find something usable online and don't necessarily need a book for it" ?

[normal crystal]

yes, because that's your opinion and not the server representation

[timber mesa]

imo an ideal solution would be to update our books list https://mathematics.gg/books to include good pre-uni sources

like yeah Khan Academy is decent but surely there's better

particularly for those looking for actual books, or exercises with more depth than Khan Acad's quizzes

[rigid iron]

Anyone hear of Hung-Hsi Wu from Berkeley? I'm thinking of doing his pre-algebra textbook - https://math.berkeley.edu/~wu/Pre-Algebra.pdf

[lone shore]

https://openstax.org/details/books/algebra-1 is high school algebra

[normal crystal]

I have
those books are meant for (student) teachers not first time learners

[rigid iron]

Thanks

[ruby hornet]

Really 💔

,iam notdying

[timber mesa]

#bots

[vital bane]

Lang

[remote sparrow]

is carl a last name?

[edgy pike]

I want to do cardinality chapter but i have no good books please suggest

[smoky valve]

hey guys

i wanted to start real analysis in a bit and was looking for a first book to get, is schroder the way to go

i've heard a bunch of positive reviews that its a great first book

i'm gonna be pretty much completely new to the entire topic so

[upper estuary]

If you just want a chapter or two then Abbott's "Understanding Analysis" is good

[worthy kindle]

abbot tao or carothers

[sterile pelican]

Carothers feels like a second exposure to analysis tbh. It's the book I aim to do after finishing Bloch's Real Numbers & Real Analysis

[scarlet geyser]

thx man

[worthy kindle]

there’s also the book by cummings

[sterile pelican]

I don't know Cummings

I do like Bloch's book though since he is very thorough, but a caveat to some is that he puts sequences at the end

[minor ridge]

Thanks alot for the info!! Really Appreciate it!!

[bold stump]

Robbins & Cotran Pathologic Basis of Disease is a great book

[sudden dock]

Any recommendations for pairing the right book with Gilbert Strang's Lectures on Linear Algebra. I am aware of strang's book but i haven't heard good things about it on online forums etc so I thought, I should ask here. For context, my goal in learning linear algebra is to build a strong foundation for entering the fields of Graphics and Data Science. Also, i have no background in proofs.

[humble spire]

Strangs lin alg book seems fine to use for data science

Its not bad by any means

[wet sentinel]

Algebra revised third edition

[brisk crypt]

any yt channel or books i can learn isometric drawings from?

[narrow gull]

Going through Baby Rudin rn, and honestly I see why the book has the reputation it does. So I can see why some wouldn't like it and may advise against using it for someone with little mathematical maturity.

That being said, if you're like me and you have just enough maturity to be dangerous, and not too much more, then this book is fantastic.

[narrow gull]

Took an intro to real analysis course a few years ago and I'm brushing up with the text from my first course (Ross) and supplementing w/ Baby Rudin

[scarlet geyser]

hello guys. I wanna study master degree major applaid mathamatics but which bacholovr subject important for this specialty/

applied mathamatics

at the moment i start 4 th year university this is my last term

i study mathamatics teacher and i graduetet this year

i wanna study master applaid mathamatics

[little plover]

im tryna study for JEE math but the only reference book i know of is the black book by vikas gupta and pankaj joshi

[topaz silo]

Have you done any of it so far?

[little plover]

mhm

[topaz silo]

How are you finding it

[little plover]

a few chapters

its decent i would say

i havent done calc yet and am only doing olympiad related chapters for now but i will get there

[topaz silo]

It's one of the hardest ref books, you do that, you'll be well prepared for adv- if you need something a bit easier you can go for cengage or something similar

[little plover]

is there anything else tho?

[topaz silo]

pink book and yellow book are also there, if you want topicwise in depth questions at a similar level
if you want easier ones that are mains level you can go for cengage

for math theres not really a need to read NCERT

[little plover]

pink and yellow?

what topics?

[topaz silo]

pink is for coordinate geo and yellow is for alg

same authors iirc

[little plover]

damn coordinate geo is that important huh

i havent studied it yet so idk

[topaz silo]

nm is just vikas not pankaj

[topaz silo]

yeah

yall got a decent bit of conics omitted

but what's left is still a major part

[little plover]

if you dont mind me asking what was your AIR in mains/adv.?

[little plover]

yet to study but we have a whole book on it in coaching so im horrified

[topaz silo]

Not gonna reveal sorry, if you want someone with their credentials you can wait for a bit 👍

[topaz silo]

conics is decent

[little plover]

alr no problem

[topaz silo]

thats what helps you score lol

[little plover]

was it a good rank in your opinion?

[little plover]

we'll see

[topaz silo]

Not too good, still got a good college with it though

[little plover]

nice

[warm pebble]

So I want to learn in 11th grade Multivariable calculus So which Books should I use ( a pdf version of a book or what).

[topaz knot]

The Khan Academy course is good for learning how to do all the operations and such with hands on practice, but if you want a more foundational approach Div Grad Curl And All That is pretty good though it has tougher exercises (and is pretty old, there may be better modern alternatives)

[wet sentinel]

usually people recommend stewart's calc or thomas's calc to someone who wants to study calc

personally i used stewart back when i studied calc

[wet sentinel]

you can also wait for more recommendations from other people

[fickle sparrow]

I did multivariable w a book n I'm going over stuff w a different book (thomas calculus & vector calculus by susan j colley), and im looking back at my mv notes from thomas and comparing it is sjc i like the notation they use for sjc and the derivations make a lot of sense compared to where i struggled with thomas calculus (but maybe i js gave up easy w thomas calculus its been a year since then) so my recommendation to you is sjc

sjc also more thorough but definitely more dense and has more information than thomas so if youre struggling maybe look at thomas if you chose that path

or any other cal book recommended here

[rigid iron]

I need a proper arithmetic textbook/course

[merry sphinx]

<@&268886789983436800>

[nocturne badge]

i would recommend serre a course in arithmetic

[rigid iron]

Whoops did I do something wrong?

[rigid iron]

I meant like elementary/highschool level. For someone older picking up math for the first time.

[timber mesa]

no, there was a spammer

[normal crystal]

Herb Gross has an older Arithmetic video course
he was an MIT Prof who also made educational videos

[warm pebble]

So thanks to @fickle sparrow and @wet sentinel along with @topaz knot for the multivariable calculus book recs: I'll consider your recommendations in the future when I need to figure out a multivariable calc book to use so thank you

Now Moving on, I'm considering in the future also self studying Real Analysis as an Intro ( not the entire course of course ) So I was looking and I was thinking of using Spivak's Calculus Book. Is that a good idea or should I use rudin's instead assuming that by high shcool I already learned or self learned calc I and II at a college level.

[cunning elk]

once you’ve learned the computational stuff in calc1-3 I think you’d be better served going straight into analysis?

[manic cairn]

spivak, calculus on manifolds
i like quite a bit

you can fit the book in your pocket (unlike the many massive calculus tomes) and it has just enough to prove the stokes-cartan theorem

so unironically, just keep it in your pocket with a notepad and do an exercise on the bus or on the toilet

[rigid iron]

This looks great, thanks

[manic cairn]

it requires linear algebra, though

[vital bane]

this is so peak 🗣️

I'll finally be learning it properly this semester

I'm so happy 🔥 🔥 🔥

Next semester: Atiyah-Singer Index theorem

On orbifolds

[rigid iron]

You people just be making stuff up

[fickle sparrow]

this is on my next chapter of my textbook n it scares me

[native cradle]

really stupid question, but is herstein supposed to be a hard book for alg

Topics in algebra

[floral lantern]

Herstein has a lot of fairly hard group theory problems

[verbal phoenix]

i’m preparing for uni applications so i’ve been reading a few books, i’ve read 3 textbook sort of books e.g like they introduce and explain a topic then give a few questions on it, im applying for maths and philosophy so id like a few books on like logic or other topics in mathematical philosophy, perhaps maths in theology if such a book exists? id also like to read sone more niche books on the history of mathematics.

[verbal phoenix]

or even just books that aren’t a practice set, they just talk about a topic in maths

[bleak coral]

Same question - I need some books for my personal statement and im interested in number theory (specifically primes and modular arithmetic).

[grim ore]

I feel a little icky recommending this. I would say that any introductory textbook would function as a purpose. I learned from Elementary NT by Dudley. But if you want to look at Alg NT by Neukirch (i recommend a lot more), then go ahead, but it is a grad textbook

[grim ore]

also the textbook by dudley is great, not bad at all, im not really huge into NT to know if its a good one / if there is a better one

icky just bc bad memories

[native cradle]

for ENT I beleieve burton is the standard?

[grim ore]

Gotcha

[wicked fractal]

Apostol analytic number theory (it's very intro), Ireland and Rosen (it's pretty good)

If you're serious and want more algebra exposure (possibly even learn class field theory) then I recommend Neukirch or Cassels and Flohlich

for more geometry you can try silverman

[grim ore]

Silverman!!

[wicked fractal]

and analytic you can look at Apostol's second book or Montgomery's multiplicative number theory

Silverman has a book on arithmetic statistics that I just started reading like 2 days ago

He still mentions elliptic curves

My man just loves his elliptic curves huh

[grim ore]

ive heard good things about it from a grad student here

[grim ore]

its crazy to think he published his Silverman and Tate text while in UG i believe

[wicked fractal]

oh really that's pretty cool

[grim ore]

i dont particularly like it, have a physical copy for just the sake of my library, but I hated that book

its like reading someone's lecture and its very conversational

not my style

[wicked fractal]

vakil type thing

how it feels like reading vakil

[grim ore]

in the rat points on ec (silverman and tate), they dont have an explicit mention of a thm until chap 3 iirc

and its mordells thm

[wicked fractal]

im not a big fan of rat points on ec

very vakil core

[delicate hemlock]

What is the book on arithmetic statistics

[robust quiver]

are you sure? the preface says the book is based on lectures delivered by tate in 1961, but the first edition is from 1992. maybe you meant that silverman transcribed the lectures back when he was still an undergraduate attending tate’s lectures

[wicked fractal]

Like the content?

[delicate hemlock]

Sure and the title

[wicked fractal]

The arithmetic of dynamical systems

[robust quiver]

that’s not really arithmetic statistics, is it?

[wicked fractal]

oh wait

yeah

mb

[delicate hemlock]

Oh is that the same as arithmetic statistics? I was under the impression that arithmetic statistics was more about like Cohen-Lenstra heuristics, statistical counts of elliptic curves of a certain rank, etc

[wicked fractal]

i meant dynamical systems

lol

[delicate hemlock]

Oh lol

[wicked fractal]

tfw I read dynamical as arithmetic

arithmetic statistics is different

[robust quiver]

and systems as statistics

[wicked fractal]

lmao

arithmetic stats is somewhat just analytic number theory on steroids

[robust quiver]

(personally i’d call this “arithmetic dynamics”)

[grim ore]

I read this wrong, but it was Tate's lectures that he just transcribed

[wicked fractal]

yeah pretty much

[grim ore]

Oh wait

[wicked fractal]

it's p cool

[vernal tinsel]

Take your meds

[grim ore]

It does not explicitely mention when he had written them, as he (silverman) finished his Bsc in 1977. Given that he did go back 30 years to publish this text, perhaps he saw it in his ug (same uni at brown), but thats kinda speculative

[marsh ingot]

Book about Lie groups and Lie algebras?

[marble solar]

Stillwell's Naive Lie Theory is a good book

[marsh ingot]

I will check it, thanks

Does contain complex Lie groups/algebras?

[marble solar]

It's an undergrad book, just getting the basics of everything

So yes, but not at a super in depth graduate book does. Lots of pictures and easy to follow examples/calculations

[marsh ingot]

Thanks in advance

[shut grotto]

I've done calculus upto calc 2, finished LADR and will be finishing rudin pma 1-7 soon. are there any books on multivariable/vector calculus that teach it from a pure math/analysis point of view that I'm qualified to use?

[foggy quest]

https://mtaylor.web.unc.edu/notes/lie-groups-and-representation-theory/

[marsh ingot]

Thanks

[regal storm]

is there a differential geometry book for idiots

with me being said idiot

current skill level: multivariable calc, ODE, and linalg; not too confident on analysis or PDE

[grim ore]

https://jasoncantarella.com/wordpress/courses/math-4250/

Our prof doesnt require RA or PDEs for this course at our uni

Its also a ug diff geo course which might serve better

[rigid iron]

https://lesharmoniesdelesprit.wordpress.com/wp-content/uploads/2015/11/whiteheadrussell-principiamathematicavolumei.pdf

Is this book basically useless now?

[grim ore]

im lost at the question?

[rigid iron]

This ^

[crystal frost]

Is calculus Early transcendent als a good book for beginners?

[grim ore]

i mean in what regard lol?

like i dont think anyone has really used that book in true/absolute capacity but peano axioms can be studied

I think set theory does look at some peanos?

I dont think it was ever really meant to be useful, just to prove a point really

[lunar wave]

how is abstract algebra by w.e. deskins its in my local library?

[covert moon]

what order would it be recommended to read riehl and maclane in for cat theory?

[tiny gulch]

first read riehl

[covert moon]

cat theory #1 fan i love how quickly you responded

i aspire to become #2 fan once i finish reading riehl

[tiny gulch]

i am in a very categorical mood rn

unfortunately there aren't as many people available to talk category theory atm

and also i should probably eep soon

[tiny gulch]

also even i haven't read through all of riehl in detail, though i have made at least 1 pass through it

[covert moon]

i’m trying to read through and do all the exercises

[tiny gulch]

mhm

what part are you on?

[covert moon]

still chapter 1 😭

im trying

it’s very fun ive just repeatedly gotten distracted by other things lmao

[tiny gulch]

mhm mhm

feel free to ask if you have any Qs

[grim ore]

I might also join in

[tiny gulch]

you could probably even create a thread in #category-theory if you wanted

[grim ore]

Not now tho

[grim ore]

Can I ask what cat theory text by riehl?

[covert moon]

category theory in context lol

[grim ore]

just making sure bc they made a inf-cat theory too

[covert moon]

i bought the book years ago (when i just started undergrad) but held off on reading it until i had a solid base in a variety of domains of math to understand the examples

[tiny gulch]

yeah that is one thing about CTiC

it very much is in context

so, there are a huge number of examplesw

you don't need to understand all of them i'd say

imho the most sensible prerequisite for category theory is linear algebra

[wise pulsar]

Heyo! Does someone have a pin or drive with books recs? I’m looking for grade 9-10 material. I want to be really prepared when it’ll come to physics and maths for the social sciences in the next years 😅

[covert moon]

i feel like knowing a variety of abstract algebra, algtop, diff geo i feel more ready now

[grim ore]

I have been kinda taking hartshorne's cat theory refs for schemes and sheaves for granted bc it doesnt particularly require it a 100%

its been on a todo for me but placed on the back burner

[wise pulsar]

or any advice

[grim ore]

khan academy really

[wise pulsar]

have you tried it?

[grim ore]

Yeah

its pretty standard for hs content

also can use it for sat prep

[covert moon]

i also used it when i was learning that level of math

+1

[wise pulsar]

Oh, I'm trying it. Thanks. Although, I can't be that that much time online so it's why I'd prefer books, textbooks, etc, specially

I'd be glad if someone had any experience/advice about it

[normal crystal]

you can download the openstax books as pdfs legit

[verbal kestrel]

is mastery over the introductory aops books along with volume 1 good enough for 100+ on amc 12. should i use more advanced books with this?

[normal crystal]

ask in #competition-math
but I'm guessing the answer is there are no guarantees

[old elk]

That abstract algebra book by Dummit and Foote makes me feel like I'm no good at algebra, ha ha ha.

[old elk]

why?

[glossy mango]

Guys, I'm going to start reading my first maths book. What should be my approach? Do i make notes or smthg?

[glossy mango]

Thanks!!

[fickle sparrow]

which book is this from

[trail hemlock]

A Hilbert Space Problem Book by halmos

[chrome escarp]

hello, i am student and wanna like books on philosophy that can strength the math knowledge of college student

[real marsh]

I still stand by the claim that to learn CT one should ideally have done LA, a course in abstract algebra (so like groups rings and modules) and a pointset class since all the valuable examples come from one of those three. Can you do it without those? Sure. Can you also do scheme theory without knowing what a variety is? Yes but why

[final harbor]

anyone have any resources on advanced-intermediate formal logic? even if it dabbles in philosophy and exits from math issok

[frozen perch]

Enderton's A Mathematical Introduction to Logic worked well for me as a second course

I'm sure the Teach Yourself Logic guide has plenty of excellent recs in it https://www.logicmatters.net/tyl/

[final harbor]

thanks!

[coral pecan]

Please recommend a good book for polynomials (olympiad level)

[normal crystal]

you can look at openlogic books too

[jovial holly]

Any recommendations for econometrics? Anything advaned UG/intro grad level is fine.

[upper estuary]

hi! Anyone knows any good pre-algebra books to use for tutoring (adults)? Preferably with a lot of word problems

[remote vortex]

<@&268886789983436800> The cause is probably worthy, but spamming self-promotion across multiple channels probably isn't

[old briar]

wait so Hartshorne has only one edition which is from 1977 and it is still considered the standard text in algebraic geometry?

[vital bane]

You mean (\infty)/5

[vital bane]

Rudin moment

[foggy quest]

yeah intro math in general hasn't changed since the 1970s I guess

[manic cairn]

i agree with all this, though i would give some countering opinions

vakil does scheme theory first, and has varieties pop out as a special case

aluffi does algebra and category theory concurrently, so i’ve heard

[real marsh]

Sure
I mean I think doing scheme theory before varieties is fine as long as you've heard of what a variety is before hand and know a little about curves. Otherwise schemes are ... unmotivated, like for me the whole motivation behind defining schemes is the nullstellenstatz and how it describes varieties.

Aluffi I haven't read, but as long as the cat theory you're learning is being applied I guess its fine. I just generally think category theory should be tethered to reality to some extent, and having the pre reqs I listed means you can read a normal CT book and have it remain tethered to reality

[subtle mango]

i did ch 1 hartshorne before starting vakil

it helps quite a bit

for me at least

[verbal kestrel]

For a beginner to number theory, would it be fine to jump straight into MONT or first read a easier book like AOPS's introduction to number theory?

[frosty void]

how to learn mental maths

[nimble kayak]

I think AOPS's introductory books are typically a good spot to start, it depends what your skill level is with other math I guess

[frosty void]

I have been preparing for my country examinations and have cleared the conceptual parts but I find myself being slow for the calculations- like multiplying 2 digit*2 digit number takes between 15-25 seconds

[old briar]

I mean Rudin isn't considered a standard text anymore with all the alternatives available nowadays is it?

It sure is a classic but it's not being used as much as it used to it seems

[sturdy shore]

I'm making this point for the third time in the past 3 weeks, but Aluffi's book is intended as a graduate level book

It's technically readable without prior algebra knowledge, but safe to say aluffi wrote the book with an audience in mind that had seen algebra before

also, he slowrolls category development quite a bit, iirc he doesn't introduce natural transformations until like the final third of the book?

[vital bane]

Real

[fickle sparrow]

Are there any books that focus on advanced integration techniques? Stuff like feynman's trick stuff you wouldn't see in a typical calculus book do you js have to learn those yourself

[timber mesa]

something like https://link.springer.com/book/10.1007/978-3-030-43788-6 perhaps? I haven't read it myself though, I actually found it while searching some other book that's mentioned often lol

oh I was thinking of this one https://link.springer.com/book/10.1007/978-3-030-02462-8

[fickle sparrow]

Just scrolled through both yeah they're what I'm looking for, seems interesting thanks

[verbal phoenix]

has anyone read concept of a reimann surface by Weyl? How difficult of a read was it, ive read the first page and im not sure im gonna be able to cope with a whole book if its like that

[delicate frigate]

what is the "go to" book for galois theory? I was looking at Rotman and Lang however lang seemed quite intimidating after a couple pages

[full cairn]

Galois Theory by David A Cox is pretty good

[mossy flume]

Artin's Galois Theory is also nice but much shorter so covering less material

[steep wedge]

Hathy is preferable generally, but Rudin has its place.

[floral lantern]

Milne’s book is quite good (a standard treatment for an undergrad is in chapters 3 and 4 and he does much more advanced stuff in the second half of the book)

[delicate frigate]

oh thats intersting

never heard of that book ill check it out thanks

[mortal ore]

For two arbitrary two digit numbers just foil in your head

But in the case where one of numbers ends in a 1 or a 9 then round down or up respectively and do that multiplication and add/subtract the other number respectively

[sacred crystal]

Hey guys Deos anyone know how I can access the Harvard /Oxford math practice problems

Or even a good book for 1 year of university

[signal mountain]

I don't think Oxfords problem sheets are public, Cambridge's can be found through https://www.maths.cam.ac.uk/undergrad/examplesheets

[sacred crystal]

Wbt Harvard?

[signal mountain]

idk 🤷 look it up lmao

[sacred crystal]

Alr thanks anyway I appreciate it

[torn blade]

https://courses.maths.ox.ac.uk/course/index.php?categoryid=875 they are, here’s a full list of courses with lecture notes and sheets

@sacred crystal

[signal mountain]

oh nice

[sacred crystal]

Thanks mate a appreciate it a lot :D ur a life saver

[signal mountain]

maybe its their exams im thinking of ?

[torn blade]

maybe

[topaz rampart]

For linear algebra, is it better to read lin. alg. done wrong, or lin. alg. done right? I'm almost a complete beginner

[merry sphinx]

FIS over both imo

[topaz rampart]

whats FIS?

[tender river]

fis is the 6th book in the list #book-recommendations message

[topaz rampart]

oke thanks

[maiden creek]

any good books for pre calc

[willow wagon]

any recommendations for Differential equations?

[foggy quest]

"Introduction to Differential Equations" here: https://mtaylor.web.unc.edu/notes/math-524-second-semester-ode/

[wheat remnant]

intro to probability Bertsekas vs intro to prob blitzstein? going for strengthening quant job skills, or is the material in Math for Comp Sci by leighton better?

[humble spire]

I liked serge lang basic mathematics

Axler also has a great precalc book

[maiden creek]

for free

[humble spire]

Stitz zeager precalc

[rich steeple]

Can anyone recommend any Advanced Algebra 2 textbooks for ninth grade (my high school says that it would also include some concepts of precalculus and maybe trig)?

Help is appreciated. Thank you!

[normal crystal]

it would be a coincidence if anyone was from that district
and you can more easily check what they'll be using this year anyway

[remote sparrow]

if you're talking about a public school in california, i would assume the curriculum is standardized

also, i'd advise not giving away personal details like that to strangers online

[molten gulch]

<@&268886789983436800> user doxxing themselves

[normal crystal]

classic Ryan

[modern ruin]

i don't know if we are really supposed to be doing anything about this. i agree that it's not super good to share your stuff online like this but

[modern ruin]

don't discourage this please

[remote knoll]

@rich steeple consider editing your post to remove identifying information

Not a mod order, just a good idea

[prisma basalt]

Can anyone recommend me some books for like casual reading. I just read ‘How to solve it’ by Polya and really enjoyed it. I want to read something similar or something that kind of goes into like the philosophy of math. Thanks!

[remote sparrow]

https://www.amazon.com/Lectures-Philosophy-Mathematics-David-Hamkins/dp/0262542234

https://www.youtube.com/playlist?list=PLg5tKDNI_a86OO6J9HuIngyROBsUqcf_z

[remote knoll]

Flatland/Flatter Land

In pursuit of zeta(3)

[prisma basalt]

thank you. They look interesting

[smoky valve]

i got my hands on schroder's mathematical analysis: a concise introduction, and this is my first time dealing with a book presented in this format. i was wondering whether the exercises have like a solution manual or something that I can find somewhere, or whether it's just left to the reader to figure them out

[cursive rivet]

try googling; typically the answer for most pure math books is that there aren't any solutions anywhere

though things like math stackexchange are searchable for many problems, which are relatively common to be reused across books

[vital bane]

The secret mod

[smoky valve]

got it, thanks

[cursive rivet]

one skill you'll start to develop though, especially in a proof-based subject like real analysis, is a good guiding sense of your own correctness based on understanding what a rigorous solution looks like

[smoky valve]

got it

[pastel void]

Guys what books do yall recommend for starting high school?

Ah thank you I'll check them out!!!

[verbal phoenix]

should i have studied real analysis before reading complex analysis by serge lang?

[normal crystal]

wait, did Chipper really give the kind of answer they were looking for

[marsh ingot]

Yes, Real analysis is a prerequisite for Complex one

[verbal phoenix]

also does anyone know where i can get cheapish second hand maths books from, cause i much prefer reading from paper but i dont really want to pay £50 for a softcover book

[pastel void]

Check ebay or look online in local areas if not online like Facebook market place they can go for REALLY cheap

[proud osprey]

There's a sequel??

Oh its by a different author. Still, sounds interesting

[frozen echo]

I usually go for alibris, but it's hit or miss

[wheat remnant]

^^^

[foggy quest]

probably doesn't matter what intro book you use. Those two look fine

[foggy quest]

The Leighton book is like an intro to proofs, which you would read before tackling real analysis, linear algebra, and rigorous probability theory.

[wheat remnant]

Gotcha

[wheat remnant]

Much appreciated yeah it was like a more in depth version of the Richard hammock proofs book with some other stuff

[topaz vector]

Hi guys

Can you recommend me some linear algebra books

[dreamy linden]

I need to become an expert at Einstein's Theories of Special and General Relativity. More so on the theoretical part than mathematics

I could use some good recommendations

[molten gulch]

FIS

[molten gulch]

How much differential geometry do you know

[dreamy linden]

Very little

[humble spire]

What is ur background lol

[dreamy linden]

Wanderer

[humble spire]

?

[dreamy linden]

I have no degree

Yet

[humble spire]

No but like math physics background lol

Not degree

[dreamy linden]

I know basics and a little more than everyone on average knows about math and physics. Plus I have personal interest in Astrophysics and Cosmology

[warm pebble]

So how philosophical is mathematics.

[wheat remnant]

yeah also the main reason i ask is some books will say "intro to" yet either not be an intro or be directed towards a certain type of student. I have a few graduate level books that have "intro to" in the name, so that's mainly why I ask for the best foundational probability + combinatorics material there is

[lavish radish]

Book discussy

[manic cairn]

obligatory

[old elk]

Has anyone here used any complex analysis books by Springer?

[digital onyx]

He probably meant the author who included Riemann hypothesis as an exercise

[grim ore]

please point me to this

which author is this

[digital onyx]

Serge lang

I am pretty sure

[grim ore]

that tracks

[digital onyx]

I just heard him recently

From the incoming student group chat

[digital onyx]

The man who made a book to encourage the students to ask professors for how to tackle Riemann hypothesis

[daring wolf]

serge lang yes

[digital onyx]

Prof yeah hahah very funny think that I would tell you a hint if I got one for ya I’ll be claiming fields. Now as a punishment for trolling, you do 20 more exercises

[final temple]

funny that you mention it, i have a marvelous proof but this margin is too narrow to contain it

[digital onyx]

Omg that sounds like Fermat

[final temple]

no

these are my own words

trust

[digital onyx]

Well yeah you translated it in ENGLISH

WHAT A CRIME

Should’ve done in French and how’s it said in French

Show it Dr. Riemann senior

[final temple]

pourqoui? il écrice en latin

or smthing like that

[digital onyx]

So it can fit the margin and you can type as of now and can’t let it out of your phone?

[final temple]

sorry my life is too short to write it out

[digital onyx]

That’s more original

Can you imagine actually go and ask the prof and say “hey, how can I do with this one, mid?”

Can’t really imagine

Kinda want to try maybe I’ll be expelled

[final temple]

dont u get a mil if u find the proof? like a millenoum problem

millenium

[digital onyx]

Yeah I heard about that

[final temple]

i believe everyone is in on the conspiracy that the sum of all natural numbers is -1/12

i know you can derive it by extending the zeta funcfion

i believe

but who says you can extend a function and it will still be legit and mathematically rigourous

[digital onyx]

🫣🫣but the summing radius is a mismatched so it’s pretty obvious it’s a mistake… it’s just analytic continuation

Like 1+1 is already 2

And natural number doesn’t even have inverse elements

[final temple]

fyi i just graduated high school so dont take my opinions too seriously

and i dont know any real analysis

[digital onyx]

Like consider a set (N,+) with binary operation

0 is the identity element of the set

Then if a+b=0 then b is the unique inverse of a

However, there’s no such inverse for naturals under addition

[final temple]

as in like the identity axiom

[digital onyx]

So it’s clearly false

[final temple]

ah

but why dows it qork in a particular physics case

does it work*

[digital onyx]

I don’t understand your question maybe ask other people but the sum of naturals obviously diverge

[wicked fractal]

$\sum_{n = 1}^{\infty} n$ diverges

[hasty eagle]

Delteto

[wicked fractal]

$\zeta(-1)=-1/12$ yes but it's not the same thing

[hasty eagle]

Delteto

[final temple]

yes but why does -1/12 give you the correct answer in some physics

[digital onyx]

Analytic continuation is such a hassle to explain

[final temple]

so it must have atleast some type of truth to it

[wicked fractal]

Truth to what?

[final temple]

in the casimir effect for example (chatgpt)

[wicked fractal]

zeta(-1) gets a meaning once you analytically continue the zeta function

[digital onyx]

They said diverge and that’s precisely what divergence means

[final temple]

like sayimg the sum of matural numbers is equal to -1/12 gives you the corrwct amswer

in some calculations

[digital onyx]

Evil

[wicked fractal]

Did you read what I said?

[normal crystal]

this is #book-recommendations

[digital onyx]

If he knows analytic continuation he won’t be asking

[final temple]

yes, but why is it not true, from a mathmatical standpoint, but it still gives you the correct answrr in physics

genuine question

i cant udnerstand how that can be true

[digital onyx]

Wild I like it

[wicked fractal]

I frankly don't know what physics concept you are referring to. I'd assume they are referring to analytic continuation regardless

[digital onyx]

Actually physics isn’t science at all it’s just natural science

Not actual science like formal science

[wicked fractal]

Anyhow this is #book-recommendations as craiglaurence noted.

[agile flume]

I like how this is in #book-recommendations

[digital onyx]

Come here to ask your very deep question #calculus or #real-complex-analysis

[elfin scarab]

mumbers*

[final temple]

mo way, domt have to do me like that but ok

[minor gust]

Is Euclids elements possible for someone that has only geometry foundations and weak at other topics precalc,Calc these are unrelated to it right? If someone were to go through it all or like at least the first 2-5 books what should he expect from it?

[cunning elk]

you're better off actually learning geo from a modern text

elements is a cool read for sure if only to see how they used to think about/present euclidean geo

[vital bane]

what about in p-adic metric?

Algebraic Geology

[viral knoll]

Geology is crazy thing to say

[frosty wing]

Guys recc a book for euclidean geo
I have neglected geo for too long so would appreciate something that picks up from +2 curriculum / high school

[naive umbra]

https://www.youtube.com/watch?v=wgt2sqvVbN8

[frosty wing]

wrong channel?

[viral knoll]

Try it from challenge and thrills in pre college mathematics

It's good for geometry

[minor gust]

Well I want rigorous proofs since as far as I have gotten in this geo Book "McDougal Littel Jurgeon Ray C" upto like quadrilaterals it doesn't expect me any other knowledge other than some basic Algebra and ofcourse the postulates and theorems it provides but in some of them it does a thing without referencing it even if it's a small thing it does matter . but from what I'm getting at euclids elements is like a challenge for later on not at my current level yea?

[cunning elk]

the foundational theory it covers is probably very similar to that of elements - it might be fun to read your more modern text alongside it

https://mathworld.wolfram.com/EuclidsPostulates.html

these are the 5 postulates euclid assumes in elements - your other book probably has a slightly different extra set of postulates like "segment addition" or "angle addition"

[minor gust]

O so ur saying I reference Euclids book and go on with my usual

[minor gust]

Yea these aere the first ones

[cunning elk]

as you get into more advanced topics you'll often find that having multiple references for the same subject can be valuable

[minor gust]

I see ty for the response

[cunning elk]

npnp

[tardy geyser]

What is the best book that introduces and explains theories, including proofs, for mathematical analysis 1, 2, and 3?

ofc with functions of one variable and many variables

[tender river]

i doubt there is a single best book that covers analysis 123 whatever those numbers mean

there is a whole ahh list of analysis books here that you can pick from, if you want single books that are comprehensive then schroder and browder are two that fit the bill #book-recommendations message

now you could read rudin 1 2 3... too

[gray gazelle]

Ahh list ?

[tender river]

ass

[silver harbor]

[it's a further enshittification of the suffix "-ass"]

[Now, whether it's because of kids who don't have the capacity for whatever reason to swear or because of online censorship rules, I can't say]

[digital onyx]

Outdated I argue this is the better book covering analysis 123. And now kneel before this good book 🫣

And it turns out you only need 2, cheaper than Rudin’s as well

It covers analysis 123+measure theory even outdated math

[digital onyx]

And my collection is cheaper too 🫣 though I would rather read rudin than these two.. I am just jesting don’t buy it if your uni account doesn’t grant electronic book for it.. it’s almost alien language

[vital bane]

Baki mentioned

https://tenor.com/view/baki-vs-kengan-ashura-baki-hanma-tokita-ohma-gif-17598177036625676660

[digital onyx]

I mean I would very admire those whoever can cope with difficulty this and I have a point, those book I mentioned can barely be sold and they have very huge discounts with the money for baby rudin you can have two from bourbaki

[foggy quest]

there is https://mtaylor.web.unc.edu/notes/math-521-522-basic-undergraduate-analysis-advanced-calculus/

[tardy geyser]

do everything in order as the provided links to the texts are given?

[drowsy sigil]

Calculus book for olympiad level precollege math competition exam plz. Can anyone recommend ito

[digital onyx]

There are dedicated Olympiad books

[drowsy sigil]

Exam name is isi bstat

[digital onyx]

What’s that

But you can read
Mathematical Olympiad Treasures

[drowsy sigil]

Wait

[digital onyx]

Author titu is very famous for competition math lemma titu’s lemma and that lemma is almost a competition orientated thing.

He’s also team coach for team representing usa for IMO

[foggy quest]

"Introduction to Analysis in One Variable" first, then "Introduction to Analysis in Several Variables" second. You would need to supplement the differential forms section with some multilinear algebra, like from this book https://mtaylor.web.unc.edu/notes/linear-algebra-notes/ and Lee's Introduction to Smooth manifolds.

[drowsy sigil]

Around this calculus level

[digital onyx]

This is calculus with a bit analysis flavor… maybe spivak you can look up online see if you can tolerate the difficulty

Otherwise always go with calculus early transcendence (and if you can buy 8th edition, it has extra content for complex number and odes too)

If it’s just calculus the choice is very limited you only have a couple at hands, if you want calculus spivak u definitely want to look up and try the difficulty yourself

[drowsy sigil]

Okie thanks

[digital onyx]

Because your question is still calculus with a bit squeezing techniques you can solve it not necessarily in the realm of analysis yet

[drowsy sigil]

Is early transcendence also good?

[digital onyx]

Either is good if that picture is what you now handle

[drowsy sigil]

@digital onyx sorry to not clarify but I want to reach around that question level.

[digital onyx]

Transcendence is probably best for most and comprehensive too.. however if you really want to lean on epsilon and series manipulation then spivak

[digital onyx]

But what are the type of questions

[drowsy sigil]

As of now I am very below

[digital onyx]

Just calculus or high school competition too

[drowsy sigil]

Like hard proof based calculus problem's.

[digital onyx]

That’s restatement of analysis.. but to prove what? The picture is basically just one elementary epsilon if that’s the proof then early transcendence or calculus by spivak will both do. If you’re aiming for series heavy and computation of different integral then spivak, if you want proof for sequences, series, function, limit and differentiability then Abbott’s understanding analysis or Ross’ elementary analysis

Again look up before buying those aren’t lenient in any sense for high schooler… even early transcendence

For basic epsilon-delta like shown on picture I would say early transcendence or calculus by spivak will work

[drowsy sigil]

I have passed high school, I am now preparing for a inmo level math paper for bachelor's in an elite college. @digital onyx

[digital onyx]

Go with this then since I’m kinda at same level (preparing first year undergraduate) and || I don’t read this book written by alien||

I am also from top 50 school

[drowsy sigil]

@digital onyx really helpful, thank you🩷🩷

@digital onyx oh nice top 50 in the world!!? You must have been exceptional.

[digital onyx]

Not really, almost everyone can get there but I rather not talk bout it. Good luck with the suggested book, maybe for your elite reference look at the content before buying

[drowsy sigil]

@digital onyx yeah thanks for the help.

[viral knoll]

isi?

[pale geode]

Any books on late modern history of algebra?

[carmine grotto]

hey do you guys have any book reccomendations for group theory??? introductory course for undegrad

[worldly compass]

do you fantastic people can recommend sources for learning about fractal geometry?

and maybe tell me what you think are necessary prereqs

[old elk]

You don't know the book from Elon Lages Lima's real analysis course? It's a gem of a book.

[tacit torrent]

Are you a brazilian? I haven't seen anyone suggest that book outside of here, and people say it's pretty hand havy

[remote sparrow]

they're spanish

[drowsy sigil]

@viral knoll yeah

[timid lion]

i liked fraleigh

[viral knoll]

⁉️

Oh

Yeah

Which year you're in?

[vital bane]

Literal peak btw

[manic cairn]

i recommend hartshorne

https://www.amazon.com/Geometry-Euclid-Beyond-Undergraduate-Mathematics/dp/0387986502

[manic cairn]

wait, this joke doesnt land as well in this channel

eh whatever

[drowsy sigil]

@viral knoll I am preparing for it, I haven't qualified the entrance exam yet. Wbu?

[wintry quartz]

Its good but very wordy at times

there is too much yap sometimes

[vital bane]

It's actually so peak, people say "wordy", I have no idea what that means, books have words 🗿 and I like it when books actually explain what the mathematics is, instead of a long list of "definition, theorem, proof"

[tawny crater]

What do you think about "Real analysis for graduate students" by Richard F. Bass?

It is suppoused to prepare you to qualifying exams, which sounds close enough to my purposes - I want to fill in the course I missed and know enough measure theory to get around.

[vital bane]

We'll team up and beat you up

[remote sparrow]

make sure it's in epub

[viral knoll]

Same here, I'll sit for it in 26

[drowsy sigil]

Wow same,are u doing prep with college?

Oh, in class 12 ?

[viral knoll]

Yeah

[drowsy sigil]

Noice

[viral knoll]

Wbu twin

[drowsy sigil]

I am preparing with college, currently in 1st year

[viral knoll]

Ohh cool

[remote patio]

Can anyone give some book recommendations for beginner quantum theory/quantum physics books?

[vital bane]

Have you studied classical mechanics and electrodynamics?

[remote patio]

Ahehhh.. not yet, right now I'm focusing on set theory and after that I'll be moving into logic with proofs and discrete mathematics

[vital bane]

It will be greatly beneficial to study Classical Mechanics (CM) and Electrodynamics (EM) before starting QM

besides CM and EM are quite fun

[remote patio]

Hmmm could you give me some books on them then? I do have a physics book that from what I remember goes into the two

[digital onyx]

Nahh I only use Abbott ross and rudin… and some external exercise

[native breach]

I used CM by John Taylor and Intro to Electrodynamics by Griffiths when I was studying and enjoyed them both. The Griffiths book in particular is almost ubiquitously recommended. Both do require a solid foundation in calculus.

[worldly compass]

i might want to bump this so it doesn't get lost

[vital bane]

John Taylor for Classical Mech and Griffiths for EM

But yeah you do need to learn calculus and linear algebra first

[remote patio]

Like.. how much calculus..? 😭 I really just want to start off with quantum theory first before I get into alllll the stuff within the quantum realm LOLL

[merry sphinx]

calc 1-2 (single variable differentiation, integration) for classical mechanics, and some basic partial differentiation maybe
+calc 3 (multivariable calc) for EM

[remote patio]

Yay... that sounds.. so fun..

[merry sphinx]

it's also a good idea to learn some ode

[remote patio]

Ode?

[merry sphinx]

but sometimes you can just learn how to solve whatever ode while doing physics

ordinary differential equations

[remote patio]

Hmmm.. interesting..

And what books would you recommend on these topics?

[merry sphinx]

i learned calc from khan academy and yt mostly, the standard books ppl use for calc are stewart's calculus and thomas' calculus

there's also paul's online notes

[remote patio]

Interesting.. interesting.. I'll keep these in my notes then! ^^

[vital bane]

It is actually insanely fun though

[old elk]

The exercises in the book are quite difficult to work through, but nothing impossible, people say, and the truth is that it's not difficult to read. It builds everything step by step. You have to read it and you'll see, for example, the beautiful section on sequences.

[old elk]

I am not Spanish from Spain, I am from Colombia and I speak Spanish. I can simply read English and Portuguese.

[old elk]

meh

[normal grove]

sup, im curios, is there a workbook, that just has every topic in maths or something similar, ive just finished AS level and I kinda wanna just learn the rest of maths through a workbook

[wet sentinel]

there is nothing such as a textbook with all topics in math

[viral bone]

Any good books on optimization? I learned it a week or so ago in calc 1, and its pretty cool.

Applied optimization perhaps if that makes sense tho..? Idk lol. But like the examples in the textbook were like, profit, fence area etc that kinda stuff. So its was nice to apply calc

[wet sentinel]

what is AS level btw

[normal grove]

just high school maths

like the last 2 years of high school

[wet sentinel]

so up to calc 1 and 2 ?

[normal grove]

not sure

but up to like derivatives and integrals

[wet sentinel]

I see, so integration by parts, trig substitution, partial fractions etc..

alright so now you can continue with calc (sequences and series) then go for multivariable calc or linear algebra then multivariable calc

[drowsy aspen]

i just came in here looking for the same bc all the udemy courses have bad reviews

[wet sentinel]

so either multivariable calc then linear algebra or vice versa, before that continue with sequences and series as a part of calculus

[normal grove]

aight thank you

[wet sentinel]

if you want some recommendations then for calc you can use stewart calculus early transcendentals or thomas calculus

maybe someone will recommend something else but i only know of these

as for linear algebra people usually go for FIS (linear algebra by friedberg insel and spence)

and there is this list of linear algebra books

you can check it and pick what you like

[drowsy aspen]

do those books go through everything in detail with practice?

[wet sentinel]

they do cover the topics in typical calculus courses, of course each section has many exercises too

stewart provides answers to odd numbered questions at the end of the book too (idk about thomas)

[viral bone]

Id also recommend Apex Calculus. Its free, open source and you can just download it off the website. Its what were using for Calc 1, rn. And its great, I enjoy it a lot

Its technically one book “Apex Calculus” but they chop it up into 3, or you can just download it

As in like Calc1,2,3

http://www.apexcalculus.com/downloads

[solemn grove]

i like to use https://activecalculus.org

it has calc 1-3 and good interactivity

[sullen wadi]

thanks for sharing this

[night relic]

is RCA good for learning complex analysis? I've studied measure with it but idk if it's a good book for that

😳 sry

[molten gulch]

There's "Baby Rudin" which is the colloquial name for "Princples of Mathematical Analysis" by W. Rudin, "Papa Rudin" is "Real and Complex Analysis" by W. Rudin, and finally "Grandpa Rudin" is "Functional Analysis" by W. Rudin

[humble spire]

i think mqinsweden is joking 😭

or is he idk

[brittle quarry]

Real talk — is papa rudin baby rudin grown up or is papa Rudin baby rudin’s dad

Likewise is ketchup a smoothie

[merry sphinx]

baby rudin's dad

[sturdy shore]

always wondered who the mother was

Serge Lang - Algebra?

or maybe it should be another analysis book because the kid is pure analysis

[remote sparrow]

Basic Mathematics - Fetus Lang
Undergraduate Algebra - Baby Lang
Algebra - Papa Lang

[molten gulch]

Fetus Lang is CRAZY

[normal crystal]

he has some other books
Preconception Lang is still possible

[remote sparrow]

spermge lang

[narrow gull]

Behold, Prokaryot Rudin

[brittle quarry]

I think I actually have a physical copy of this

[viral bone]

Ill ask again because I didnt get any response 😅

But does anybody have any good books about optimization? Applied perhaps? But like, heres a problem, heres how you can model it, then optimize, etc?

Idk, because I learned optimization in calc 1 a week or so ago, and so far its my favorite topic behind Riemann sums

[sturdy lintel]

Optimization is a pretty big field so there’s lots of different flavors out there depending on your needs. If you are still relatively new I would suggest either Numerical optimization by Nocedal and Wright or Convex optimization by Vandeberghe and Boyd. If you want more scope I would go with Nocedal/Wright and skim until u find what interests you most.

Boyd also has a number of online/youtube lectures and materials hosted by Stanford if that is of interest

And there is an entire Cvxpy python package/framework that he helped develop

[unique pier]

any sourse for studying discrete maths?

[tribal crow]

@night relic welcome to the mathcord!

[torpid gust]

has anyone heard of hte big humongous book of calculus problems, is that good for practice?

[viral knoll]

wild name

Ima check

Yeah seems good

[remote patio]

Sorry!! Just wanted to stop by!! Love your pfp, stein is the best LOLL

[viral knoll]

Fire

I fw stein heavy

[remote patio]

Sameeee 💪 💪 💖

[torn blade]

stein as in the guy who made that gate? or the guy who wrote those analysis books?

[daring silo]

In what books can I read about normal numbers and the things that are known about them?

[vital bane]

"What does Stein's Gate mean?"

"It doesn't really mean anything"

🗣️ 🔥 🔥 🔥

Peak!

[viral knoll]

Stein's gate, dr stein, and elias m stein

All are goated

[viral knoll]

Wdym normal numbers

[daring silo]

https://en.m.wikipedia.org/wiki/Normal_number

I’m looking for resources where I can read about the topic more

[viral knoll]

Ohh that's a thing ?

Seems interesting

Lmk if you get some from here

[daring silo]

Okay~

[rich sun]

El Psy Kongroo

[viral knoll]

🗣️🔥

[mortal karma]

Hello, how are you? . Where on the server do I ask about books on Euclidean geometry? I'm looking for it for the first time.

[molten gulch]

Right here

also #geometry-and-trigonometry

[stone ferry]

Do u guys attend olympiads?

[vital bane]

No, I'm too old for that

[stone ferry]

how old omg?

am i too young for this server?

[vital bane]

20 which means it's 13 billion years in zoomer terms

[rich sun]

are you under 13?

[molten gulch]

Are you under 13? If so, yes you're too young

[vital bane]

Are you under 13?

[stone ferry]

no way , im 17

[molten gulch]

No, hell no, we're WAY too old for that

[stone ferry]

Are we?

[vital bane]

We as in, all of James and me

[molten gulch]

we (as in cat collective) vs we (everyone in the channel) intensifies

[molten gulch]

I was mostly referring to us as a system but that works too

oh neam, we're 21 now too as of earlier this week 🎉

[vital bane]

Happy brithday!

[stone ferry]

are u guys in college ?

omg guys happy birthday

[vital bane]

I've finished my undergrad

I can't believe I'm saying that

[stone ferry]

wth

[molten gulch]

at TWNETY?

WHAT

[topaz silo]

Happy birthday all of you!

[vital bane]

3 year UG

[molten gulch]

tyyy

[molten gulch]

oh yeah- oops

[stone ferry]

having inferiority complex

Nvm peeps

[rich sun]

but did you finish ra?

[topaz silo]

#competition-math

[torn blade]

https://tenor.com/view/blackbeard-blackbeard-writing-taking-notes-writing-gif-17583038544116987898

[vital bane]

Ra, The Sun God 🙏

But also nein

I havent done much Riemann integration yet

I'm still on section 7.2 of Abbott But I have master's courses so I'm doing measure theory now

[tribal crow]

@stone ferry welcome to the mathcord!

[stone ferry]

Thank you:')

[mortal karma]

Gracias

Hello, can someone recommend books on Euclidean geometry?

[humble spire]

First time learning or learning more?

[mortal karma]

First time learning

[humble spire]

The aops geometry book

[fluid violet]

Congrats!

[old totem]

aops books hit different

ik i joined aops a while ago and their classes are so hard yet so helpful

i just wish i started competiiton math sooner

[mortal karma]

Do you have pdf

[molten gulch]

<@&268886789983436800> user is requesting pirated resources

[merry sphinx]

We can't share pdfs of copyrighted books in the server

[modern bolt]

Snitch

[mortal karma]

But I already copied the name of the book into Google and it doesn't come up. Could you please send me a photo of the book?

[modern bolt]

Servers do way worse then posting github links and they don't get banned

[dense seal]

piracy is awful and you definitely shouldn't communicate about such things in dms

[dense seal]

they also are not affiliated in discord in any official capacity, unlike us

[modern bolt]

that's extra hit points

not that anybody's keeping score

how much would it actually take for a server to get banned

[wispy pebble]

@modern bolt pls dont discourage modpings

[modern bolt]

in reality

better question: has it ever happened before?

to the best of my knowledge, it doesn't happen with the kinds of things we're posting

[topaz silo]

searching for precedent is a rather sucky way to analyse the possibility of the server getting wiped off the face of the earth when piracy is clearly against TOS

[frosty steppe]

Do you guys like Rusczyk's books?

[modern bolt]

what's doesn't make sense is mentally doing this:

person innocently requesting pdf -> you wouldn't pirate a self-published geometry book
  -> our server is in mortal danger 

[frosty steppe]

you WILL be eternally damned.

[molten gulch]

Also I think sharing the page's name isn't allowed either

[frosty steppe]

I don't see anything

[modern bolt]

ping the mods then

[frosty steppe]

<@&268886789983436800> am I going to hell

[modern bolt]

if piracy is a crime, the entire academic community is going to hell

[remote knoll]

???

[frosty steppe]

how taoist of us

[gray jungle]

I dont think people are discussing the morality of pirating here, the server is just being on the safe side to not get potentially shut down.

If YOU were running a big server as this one, you would have done the same.

[slim fulcrum]

crime and sin are different things though

[remote knoll]

@frosty steppe do not share methods of pirating books on this server

[slim fulcrum]

unless you're calling jail hell in which case yea

[remote knoll]

💯

[frosty steppe]

ok but am I going to hell

[remote vortex]

Yeah, I consider pirating absurdly overpriced textbooks morally neutral or even good, but that doesn't change the fact that posting copyrighted material or discussing ways to obtain it, is risky.

[slim fulcrum]

ask your local priest

[remote knoll]

No, I will need to ban you if you continue tho

[frosty steppe]

sigh okay

[modern bolt]

on this particular server it seems to be

[remote knoll]

Because I don't want to get this server shut down

[slim fulcrum]

bro knows who goes to hell

[remote vortex]

I mean, all of us probably.

[slim fulcrum]

probably
under which probability law

[frosty steppe]

Mathematics is inherently evil

[remote vortex]

I'm gay which apparently several gods aren't really fine with.

[modern bolt]

sin doesn't exist, that's why I said crime earlier. If it's sin I literally don't care

[slim fulcrum]

i know some trig functions who'd beg to differ

[modern bolt]

let me guess

cos?

as it is orthogonal to sin

[slim fulcrum]

orthogonal to what

[modern bolt]

...

[modern bolt]

me irl

[frosty steppe]

anyway do you guys like richard rusczyks books

[silver harbor]

That name sounds familiar

Isn't he the guy on the AoPS site?

[frosty steppe]

is his calculus book worth it or should I stay principled and go with Stewart's calculus book

yes

[silver harbor]

Ah thought as much

[frosty steppe]

Tricky Richard himself

Richard Rusczyk

Stewart's book is that good?

Or is it just easy

The aops books have pretty nice challenging problems

[cunning elk]

AoPS calculus is written by David Patrick actually ☝️🤓 get your facts straight

its a middle ground between the computation spam of your standard textbook and the more rigorous approach of spivak

[ebon belfry]

My calc book

[manic scroll]

wowzers

[ripe moat]

this is one of the only places that isn't on slowmode for some reason

[harsh rampart]

@robust marlin dork

[remote knoll]

@frozen moth

[fallow thunder]

whats happening broo

in the other chats 😭😭

[weak edge]

I hate humans

[obtuse anvil]

@robust marlin pinged everyone

[fallow thunder]

i saw lmaoo

and they said

by mistake😭😭

[ripe moat]

literally the plot of oppenheimer

[obtuse anvil]

XDD

[weak edge]

Did it happen before?

[obtuse anvil]

I think ye

[drifting zenith]

Atleast Let me sleep in peace, should have turned notifications off🙏🙏

[fallow thunder]

LOL

[weak edge]

Cogito ergo sum

[high yarrow]

3 chats already down then the wise people start coming here I believe lol

[weak edge]

This ninja

[high yarrow]

And the trolls/raiders too I believe

[fallow thunder]

damn they even got the chill chat

[harsh rampart]

I'm not raiding

[short falcon]

The everyone ping wasn't a good idea I guess.....

[harsh rampart]

You think lol

[fallow thunder]

for reall

[thin frigate]

What happened??

[harsh rampart]

some random somehow pinged everyone "by accident"

[short falcon]

Someone did a everyone ping

Now it's chaos

And hell

[harsh rampart]

A 270k member server, nice

[short falcon]

Fr

How is it even allowed?

[high yarrow]

Honestly not trying to point fingers but the work that the mods is doing is practically nothing to stop it.. fr

[high yarrow]

Crazy stuff right

[wicked osprey]

Crazy?

[tribal crow]

<@&268886789983436800>

[high yarrow]

I was crazy once

[harsh rampart]

Ha

[thin frigate]

Breh

[thorn hinge]

Which book is commonly used for this course:

Existence and Uniqueness Theorem. Differentiable dependence on initial conditions. Linear equations. Matrix exponential. Classification of linear fields. Jordan canonical form. Non-autonomous linear equations: fundamental solution and Liouville's theorem. Non-homogeneous linear equations. Asymptotic stability and instability of a singular point of an autonomous equation. Lyapunov functions. Hyperbolic fixed points. Statement of the Grobman-Hartman linearization theorem. Flow associated with an autonomous equation. Limit sets. Gradient fields. Fields in the plane: periodic orbits and the Poincaré-Bendixson theorem. Stability of periodic orbits.

?

[wicked osprey]

They locked me in a room

[high yarrow]

A rubber room

[tiny dagger]

here before spam

[short falcon]

Should I do everyone ping again 🤤

?

[drifting zenith]

Read one piece

Good recommendation

[keen spade]

Hey guys, sorry if this has been already answered and I didn't see it but do you have anything to recommend me (books, yt channels, etc) to learn and have a guideline for me to study on my own, bc I finished high-school and my studies at uni don't have any math but I enjoy it so I want to know more in my free time, and thanks in advance! :D

[drifting zenith]

I am upto date already

[weak edge]

1k+ episodes, i cant

My only anime was

Death note