book-recommendations

[odd cargo]

as for your friend, just tell him to get you a calculus book

doesnt really matter which (a lot of pro-spivak snobs here in this chat)

find an intro to algebra book on the internet, any, and start there

[compact bough]

i prefer shifrin's multivar math over spivak anyway

[odd cargo]

spivaks strongest warrior typing

[mortal iris]

Learn how to use scipy.integrate or equivalent. Almost nobody solves integrals by hand so long as they know what integration is.

[vital chasm]

Basically any resource works for calculus....

[compact bough]

unless the course curriculum is centered around doing them by hand in which case it could be useful, but still that is indeed a good thing to keep in mind in general

[vital chasm]

Paul's online notes has nice calculus exercises and notes

Lemme find the link for you even

https://tutorial.math.lamar.edu/

Calculus I > 5. Integrals could be a starting point

[mortal iris]

Course curricula should grow with the times. Unless you need to do proofs involving integrals and measures, no point going into the theory.

[hushed spire]

I was thinking of getting spivak to touch up my calculus before getting on with Abbott. Does Calculus contain multivariable?

[mortal iris]

No

[compact bough]

i love paul's notes

[compact bough]

i mean to an extent i agree

[hushed spire]

What then?

[mortal iris]

Wdym? I just answered your question lol.

I assume you meant if Spivak's Calculus has multivariable

[vital chasm]

Now that I do actual math I find it boring but it did its job well when I was learning calc

[compact bough]

yeah understandable but it's good for a refresher from time to time since i find myself forgetting some of the simplest things

[short fable]

?? no not really the skill of computation is still necessary. Independently of proof

[compact bough]

exactly

[mortal iris]

Absolutely not because most integrals do not have closed form solutions.

[hushed spire]

I mean if you have any recommendations.

[vital chasm]

I just Google lol

[short fable]

Yes you can scipy.integrate, but you can't tell me you can't use do simple closed form

[short fable]

I think you're underselling the value of raw symbol manipulation

[mortal iris]

If it's to brush up then you can use Piskunov.

[compact bough]

fair lol

i usually do, but i find myself resorting to the same couple sites since most shit google shows is ai slop now

[mortal iris]

Which you can learn to do if you need to write proofs in which case I do not disagree with going into the theory.

[odd cargo]

w suggestion

[vital chasm]

I do find myself seeing fucked up integrals with gamma and beta functions here and there but I guess i do theory

Modified bessel functions showed up in a minicourse i was attending last week

[mortal iris]

As someone who is in the business of writing and calculating integrals on a regular basis, I genuinely do not see the point. If I had to do calculations I might as well have learned how to numerically compute integrals rather than do all the needlessly complicated and often un-inspired u-subs, Feynman's tricks and what not.

[compact bough]

gamma function my beloved

[compact bough]

ik i mainly study and play around with diff geo but my heart has a soft spot for non elementary functions and their applications in integrals and other things

[hushed spire]

I looked it up and it seems to be a rather controversial book for some reason

[mortal iris]

Despite knowing these things I have never used these in years aside from explaining how to solve some integrals by hand. That's how obsolete doing integrals by hand is.

[mortal iris]

Huh

[hushed spire]

Most criticisms are that it is not very proof oriented ( I am not sure how concerning this is, the Spanish education system has always been about "engineering math" and not proof based mathematics.)

[mortal iris]

Look. If your sole purpose is to revise your Calculus before Analysis then Piskunov is the right kind of book.

Alternatively if you want to get into a book that does both calculations and proofs which is a bona-fide Analysis text in itself you can go with Zorich.

[hushed spire]

I am trying to get into proof based math though. I already had my engineering math courses (calc, linear algebra geared towards calculation, so on). Though we didn't really have very deep ones

[hushed spire]

Alright thanks, then I will go with piskunov

[short fable]

Maybe not 10000 questions on integrals but I expect a HS student to have done around 100?

[mortal iris]

You'll get into the deeper proof based stuff in Analysis. Piskunov already does a smidge of that tbf.

[short fable]

Although, doing elementary function integrals does not let one recognise or use special function integrals. I don't know how one gets around solving or recognising those

[mortal iris]

This is precisely the point. And for special functions, the integrals are often intractable. You use properties of the integrals to write results about said special functions but that kind of work is fairly straightforward and preferable numerically as well. And like I said, in practice most integrals do not admit closed form solutions. Unless your job is to prove things, there's no point learning how to solve them.

Honestly I'd argue more of the same with pretty much all of this elementary plug and chug type Calculus. Unless you're writing proofs, you're better off learning how to make a computer do these things with just the core computational idea.

[short fable]

I largely don't disagree that for 'real' applications you throw it to desmos or CAS.
But you should also just recognise that doing basic sums like 17.33 - 5.10 or a 17% discount on $117 can be quickly approximated and these computations just come with practice

I'm on Hacker's side in https://www.youtube.com/watch?v=yeF_o1Ss1NQ

[mortal iris]

I agree with knowing how to do them but there's no need to practice them. That skill set is obsolete in today's world. Should things go awry, the knowledge remains and we can regain the ability with practice. There's no meaning in sticking to the old guns unless it's of some value. I don't see the value here. If I have the programme ready to go I can do it in almost an instant. Even with practice ppl can never get that fast.

[mortal iris]

As far as estimating and eyeballing simple figures go, children should be taught that. As far as computing ridiculous integrals go, only those who want it should learn to do it.

[wicked fractal]

No you should do them for JEE

[mellow wren]

I wanna learn integrals
Just use scipy nobody does integrals by hand anymore

wtf are you smoking dude

[compact bough]

that dude was confusing the fuck out of me too

like what

[mellow wren]

there's inherent value in the methods themselves

[compact bough]

exactly

today alone, i've now seen 3 ppl respond to questions about learning how to do derivatives or integrals by hand with "just get a computer to do it bro nobody actually computes them by hand"

like am i crazy for saying that's an unhelpful/pointless and arguably rude reply?

[wicked fractal]

I'm sure Killuminati meant the obnoxious looking ones

[compact bough]

i suppose

[wicked fractal]

There's a value to knowing how to integrate things like polynomials and even if you don't get to integrate tricky things, knowing the methods is valuable

[mellow wren]

I feel like even this isn't really a good idea because there are so many integrals that are computable by hand, but which computers can't solve

[rich sun]

just prompt llms, nobody uses scipy anymore

[wicked fractal]

@grok is this divergent chat

[blazing holly]

<- last remaining scipy enjoyer

[mellow wren]

I'm a magma chud unfortunately

[compact bough]

granted, with more intense integrals it can be often way easier to use a calculator over solving by hand with something crazy like differentiation under the integral sign or weierstrass substitution or contour integration or any technique of the sort, and when doing a problem in context it's nice to be able to save time by getting the values if your main focus is the concept and meaning of the value(s) itself(/themselves), but at the same time there's definitely inherent value in knowing the methods for doing it all by hand, at least as well as one can

[compact bough]

@gork these damn wokesters are telling me that this integral converges

[odd cargo]

magma chud lowry

[mortal iris]

Practically most of them aren't solvable in the sense of having closed form solutions. And if you have a basic idea as to what integration is, then you can use CAS to solve pretty much any integral (handful of exceptions but they usually have workarounds). My entire point was addressing only needlessly tedious integrals.

[compact bough]

i meannnn
most doesn't mean all lol

[mortal iris]

Never said it. But it is indeed true that most ppl do not solve integrals by hand unless it's for competitions or coursework. Barring of course the need to solve them for some proofs or detailed constructions in theory. And if you are doing anything like that you should learn integration in detail, not just how to compute them.

[crude mango]

Read 48 laws of power

[gray gazelle]

https://tenor.com/view/patrick-mouth-patrick-patrick-star-spongebob-spongebob-meme-gif-10864904869571871959

read Kant’s Critique of Pure Reason

[crude mango]

Ok

[gray gazelle]

you’ll get more insights than that profit slop book

[crude mango]

Read power of subconscious mind

By joseph murphy

[gray gazelle]

hell nah I’d read Practical Ethics by Peter Singer

[signal zenith]

Bro is playing both sides

[gray gazelle]

or even Slavoj Zizek’s Less Than Nothing: Hegel and the Shadow of Dialectical Materialism

[crude mango]

😮

[gray gazelle]

Peter Sloterdijk’s Rules of the Human Zoo is good too

[signal zenith]

Bro has every ethical belief

[gray gazelle]

or the Remnants of Auschwitz by Giorgio Agamben

I just read philosophy books as a hobby

Our department has alot of connections with the philosophy department

So I got to talk to them with the modern texts

[gray gazelle]

I think this one is quite relevant

[rain locust]

Bullshit

[compact bough]

you should see yesterday's chill chat debate
(jk don't it kinda amounted to nothing of substance)

[gray gazelle]

hey I am not that informed about the relationship between the US and Israel ok? But, I did provide some sources you all could’ve read (you refused to read)

I don’t live in the US and I was clearly not siding with Israel

[compact bough]

i wasn't saying anything specific, damn
just drop it lol the conversation is over

hmmm
any suggestions for books on cat theory

[compact bough]

as in category
not the silly domesticated meowing thing begging for treats

[signal zenith]

Emily Riehl CT in context although I think the thing to do is to rather learn it while learning commutative algebra or algebraic topology

Instead of spending time studying just CT

[compact bough]

i see
that'd prob be smart actually

[primal mica]

Not sure why people are being so aggressive about it. I haven’t personally read this book but Strogatz is a great mathematician and a wonderful science communicator, and I’ve heard good things about this book.

“Pop-math” means that it’s a book about math written for the general public. A popular example is Chaos, which gives a historical account of the modern developments of nonlinear dynamics without diving deep into the math (just giving a surface level treatment).

There is absolutely nothing wrong with reading pop sci books. In fact, I think a Birds Eye view can be helpful when used in conjunction with textbooks, but realistically Infinite Powers is a book written to be an enjoyable read and I’d expect it is just that.

[midnight gulch]

yeah it depends where you are coming from background knowledge wise, and what you intend to study. any good algebra textbook will teach you basic category theory, and advanced topics can be picked up from studying topics which make heavy use of it (e.g. homological algebra)

[compact bough]

is there like
any bg knowledge i should get a good grasp of that you'd indisputably need for cat theory regardless of the context you use it in, or?

[midnight gulch]

in general you should know the very basics of categories (basic definitions, functors, natural transformations, some universal properties, possibly limits and colimits, adjoints)

you do not need all of that for every context (many fields of math barely use category theory)

[primal mica]

If you want category theory and algebra the Algebra: Chapter 0 seems to be a good call. My algebraic topologist colleague says it’s one of his favorite books and he seems wicked smart.

[midnight gulch]

but that is like the baseline category theory knowledge that you should get if you intend to do anything mathematically which relies on category theory

[midnight gulch]

yeah i kind of wish i originally studied algebra from this book

and it also gives quite a bit more category theory knowledge than other textbooks (iirc he gets into derived categories and more advanced topics like that)

[compact bough]

i see

[compact bough]

alright

[midnight gulch]

and Riehl, MacLane, Leinster, most algebra textbooks, etc. would do that

[molten gulch]

Alg ch0 is a good book from what I've also been told

(I'm just a lowly cs undergrad so idk take my opinions with a grain of salt idk)

[compact bough]

i see

[midnight gulch]

i do think for a standalone textbook (which there are good reasons to use over studying it alongside algebra) Riehl is the best

because obviously a lot of stuff in Riehl is not immediately relevant to an algebra textbook, so not covered

[mortal iris]

Lawvere's Conceptual Mathematics. Very enjoyable read. Very systematic. Starts from close to nothing and goes into fairly advanced topics at the end. Assumes very little knowledge to begin with too, so it's readable even for a first year undergrad, but likely would be more useful for advanced undergrad students.

[odd cargo]

Did this dude get hit with the jewish space laser or something

why did he disappear

[mortal iris]

https://tenor.com/view/death-star-gif-14758637425007366681

[rapid solar]

yeah im not sure, i just wanted peoples thoughts and they started giving me attitude for even bringing it up. I did end up getting the book so I'll start reading soon, thanks

[mortal iris]

The attitude is because it's not intended for serious mathematics. Considering you're in a math server, it's best to mention if you wish to pick up a book as a non-mathematician who is merely curious or as a math student. If you are a math student or anything even remotely close (physics, statistics, computer science, engineering) then the attitude is justified.

[odd cargo]

its time you share your internal qi with everyone bruh

i dont got the time to study maths so transfer qi

[mortal iris]

https://tenor.com/view/anime-dragon-ball-vegeta-super-saiyan-power-gif-15106409

[primal mica]

It’s a book intended for people who enjoy or wish to enjoy mathematics, written by a great mathematician after his historical deep dive of some of histories greatest mathematicians.

What’s the justification for the ‘attitude’ to someone trying to learn more about mathematics? This seems like some sort of weird superiority thing. What’s the harm in a student of mathematics trying to learn about the history of mathematics?

[mortal iris]

It's not really a proper history book either. It's pop on either account really. Don't get me wrong, it's probably a great book given how good a communicator and writer Strogatz is. However, for nathematicians and math students interested in the history of the topics there are more systematic accounts for the same. Both from a historian's lens and from a mathematician's. Such books would instill a greater appreciation for the subject matter due to the understanding the student has of it. So let me flip that back onto you. What's the harm in reading books like those?

In any case, we don't know what the point of going through this book was for OP.

[mortal iris]

I would assume that mathematicians and math students enjoy the subject when presented properly, even as a historical account. At least I would much rather have the technical details behind how things progressed rather than hand wavy exampling for awe striking (kinda how pop accounts tend to be generally).

[compact bough]

is shifrin's abstract algebra: a geometric approach any good?

[primal mica]

I never claimed there was any harm in reading books like that, and you’re right, you don’t know what the point was for OP, but they specified they weren’t asking about what kind of book it was, and just wanted to know the quality. You also just said it’s likely a great book, so now I’m really unsure of the source of the hostility.

[primal mica]

Your assumption on what other people would enjoy was sufficient justification for ‘attitude’, as you said? Might want to come down off your high horse, my friend.

[signal zenith]

Meh, I think the dislike is a bit overblown. I like some pop math stuff even if it’s abt stuff I already understand and could understand in a more technical fashion, and Strogatz has a pretty good track record in my view.

There’s a lot of bad pop math out there, but it’s not worth overcorrecting against ppl who do it well.

[primal mica]

In my experience I've found pop math mostly just fun and it can be motivating to study more. I'm a physicist and I think it was a major misplay on my part not to read more pop physics as a student. I found it could be very elucidating in a way that can be difficult to communicate via textbook.

Not sure if there are many books in mathematics that somewhat fill that hole, between technical precision and greater structure and intuition, but if you can fill your free time with things that even reinforce what is known versus mindless entertainment, I think there is a clear winner in terms of academic utility.

But it's for entertainment purposes, and I wouldn't slight someone for going out to watch a movie instead of drilling proofs from Roman.

And I certainly wouldn't roast someone for asking the opinion of people interested in math on a book whose topic is math.

Doubly so asking if a book is recommended in a channel for book recommendations when it says on the title bar "Feel free to ask about other literature."

[full cairn]

It's just regular math elitism and gatekeeping. People here just can't fathom the fact that you want to read a book about math for fun

[fallow aspen]

<@&268886789983436800>

[signal zenith]

There is some stuff where a negative reaction is justified (Eg the David Deutsch mega yap meaning of the universe is infinity crap posted here earlier) but I think Strogatz has a good track record and writes accurate yet interesting books so it’s undeserved to pile on against him

[full cairn]

Yes, that's my point. The critique wasn't that Strogatz writes poorly, it's that pop math isn't rigorous enough. It's the literal definition of gatekeeping

[regal current]

Does anyone have books I can use to study for the math Olympiad in high school

plz🙂

[mortal iris]

I don't understand why you think I'm being hostile in the first place. All I did convey was that the general disdain towards pop math for math students is justified.

[mortal iris]

I'm a physicist too and while I read some pop physics before I started studying the subject, it is with good reason that I reject pop physics and pop math on the whole. If you're a student of either field, especially theory when it comes to physics, pop physics books can create a gazillion misconceptions you'll not even realise you have. I've seen many who, in their inexperience have had to unlearn things that have deeply impacted their intuition of the subject matter because they chose to immerse themselves in pop physics. Mathematics on the other hand is slightly safer in this regard I'll admit.

[molten gulch]

In my experience, I have seen some students who do this in mathematics as well, where they end up believing that the simplified intuition provided within popular mathematics texts or videos translates directly into general cases and this leads to issues

[mortal iris]

There's plenty of math literature out there that is not traditional textbook material that people can read for fun. It's not gatekeeping shit. Like I said, you can find some quality stuff if you know what you're looking for. Ik ppl who stumbled onto Baez's blog and Keith Conrad's Blurbs (myself included) simply by hopping from place to place looking for interesting things to read for leisure. I don't see why a student of the game would need to go to a source written for those not looking to partake in the game for their entertainment. Unless it's some nutty fault finding case.

[mortal iris]

The critique was not about rigor either. Nobody is expecting or asking pop math books to be rigorous. That would defeat the entire purpose of said book. And even textbooks are not always rigorous, even in some pure mathematics programmes.

[full cairn]

"if you're a math student you shouldn't read pop math" sounds a bit like gatekeeping to me, but whatever

[mortal iris]

The Scott Aaronson Quantum Computing one might count

[full cairn]

I know you didn't directly diss the Strogatz book Killuminati, but there's atleast some people who think pop maths is bad because it's not rigorous enough

[molten gulch]

Okay to this I should probably also add an addendum of "everything I'm saying about pop maths is purely my opinion about it re: me, and probably isn't too true for other people, everyone's entitled to their opinions, I just tend to be somewhat annoyingly loud about mine sometimes"

but yeah you're not wrong

I do tend to prefer textbooks and such over pop maths texts because textbooks are more rigorous and generally when I am looking for a concept, I want to see a definition, a theorem, a formula, etc...

[full cairn]

yeah, I get that, I just think it's stupid to suggest that people should dive head first into an actual textbook if they just want to relax and read something they find interesting without having to think too much

[molten gulch]

Yeah that's completely fair

[rapid lily]

Honestly I think reading pop phys/math is mostly a waste of time unless ur in hs

bc at that level u can’t really read a textbook anyway

And if ur not in hs most pop phys/math is just misleading

Might as well read the real thing

There is in between stuff

[compact bough]

it's an ((alright-ish)-ish)-ish place to start, but it's def nowhere good to linger in

[rapid lily]

Not a text book, readable, and gives good information

[full cairn]

why is it a waste of time if you enjoy it? and wdym by "the real thing", are you saying that instead of reading Simon Singh's Fermat Last Theorem I should just read the actual paper by Andrew Wiles?

[compact bough]

pop sci/pop math i mean

[rapid lily]

I think I did enjoy those books when I had like semi-math psychosis and thought they led to some cool hidden information but they really didn’t

like they can’t really communicate anything rigorous

Or substantive

Most say completely wrong things

[compact bough]

i must confess
pop sci and pop math got me interested in science and math in the first place 🥀
i used to think i was the smartest person in the room for watching kurzgesagt, scienceclic, pbs spacetime, numberphile, etc. 💔

but hey i've now had the humbling experience of ✨learning diff geo✨

[rapid lily]

Same lol

[compact bough]

lmao
at one point i even came up with my own idea for a "theory of everything" with 0 mathematical rigor to back any of it up

[compact bough]

here i am now

[rapid lily]

No yeah me too I did exactly the same thing 😂😂

You can really mislead yourself

[rapid lily]

Or at least maybe say things right but in a way that makes you think completely wrong things bc you don’t have actually math to think about the next steps rigorously

[compact bough]

lmaooo

[compact bough]

imma post it in the chill chat fwiw 💀💀

[primal mica]

You directly said that the 'attitude' was justified because it's not intended for serious mathematics. I said hostile because that felt less silly than saying 'attitude'. Here my intention was to be in agreement with what you said. What I actually thought was that you were being a bit of a dick basically unprovoked.

[primal mica]

I'm a working physicist, and have since finished school. I've found texts such as Gamow's 30 years that shook physics, Segre's From X-rays to Quarks, Cropper's Great Physicists, Tomanaga's The Story of Spin, and many others to be elucidating. Largely historical accounts of quantum theory shed light on things and have deepened my intuition therein.

I'm not saying all examples are good, I found Feynman's QED especially to be quite bad, and I consider him a master expositor, but you certainly can learn a lot about application and connected structure in some non-textbooks that aren't covered in textbooks themselves.

[rapid lily]

oh yeah I like historical accounts of things some people think the history is completely irrelevant but to me it helps things make more sense why we do things a certain way

[lament scaffold]

What book size do y'all prefer A5 or B5?

[tender cobalt]

I prefer B5

A5 for smaller books is fine, but depends

[remote sparrow]

just resize them

[normal crystal]

https://tenor.com/view/comedy-parody-adult-swim-ntsfsdsuv-piper-gif-3454000

[hallow robin]

Wait what? Oh it doesnt have a free access?

[remote sparrow]

judicious cropping and printing to pdf

[rapid lily]

@remote sparrow 🫡 hello there

[remote sparrow]

hello 🫡

adobe acrobat dc

think you need the pro version for editing tools

it works for my purposes

and of course, i didn't pay for it

[remote sparrow]

skill issue

[normal crystal]

are you even gonna save to print that

[tender cobalt]

For linux I used Ghostscript

Works wonders for resizing PDFs, merging them etc

[mortal iris]

PDFSam is also solid.

[trail void]

B5

A5 too small

for novels b6

also as a side uh message not related : u do not need a5 for most textbooks

unless theres an insane amount of pictures in it

usually the case with those mcgrawhill textbooks they use back in 9th to 12th grade tbh

[normal crystal]

because you can get that book at a decent price already

which edition do you want
I assumed you were ok with used btw

[normal crystal]

which edition

[lapis ledge]

Do you guys know what best to study for competetive geometry? (ik i said it in like discussions but im asking this here)

Why did you stop typing?

[compact bough]

damn sorry for being busy ig
chill out dawg

i was gonna ask what competitive geometry was but i figured it'd prob be more worth another person's time to help out than me bc i'm busy lol

[lapis ledge]

no i meant like someone was typing then they stoped

[compact bough]

don't micromanage me damn

[compact bough]

yeah that was prob me

[lapis ledge]

No please dont

help me

[compact bough]

dude

i'm busy

desperation and begging doesn't get you answers

pls just be patient, i'm sure someone else can help you if you just wait a little

jeez

[lapis ledge]

i thought you were joking

[molten gulch]

@compact bough ignore agno3/p2o5, bro has a habit of trolling and not listening to directions

[compact bough]

i see
ty

[lapis ledge]

Sry if we had a bad past but i have been changed for good

[lapis ledge]

Im sry

[livid yew]

Anyone can recommend me a book to start with Galois ?

[mortal ore]

Dummit and foote

Ch 13-14 or smth like that

[livid yew]

14 yes thanks

[mortal ore]

You need knowledge on field extensions tho

Assuming you dont have that already

[livid yew]

I'll check on that too. I got the basics only honestly. I'll finish my engineering degree and start maths in a year or so, as I always liked Galois

[mortal ore]

Nice

Do you know any abstract algebra?

If not then galois theory is unfortunately gonna be a while

[livid yew]

Should I read the whole book?

[mortal ore]

Yes

At the very least up until chapter 14

If all u care about is galois theory

Maybe u could get away with skipping some earlier parts but frankly I wouldn't recommend

[livid yew]

Thanks mate, anyways I need that knowledge next year so it doesn't matter. They told me to start studying if I want to go smoothly

What's your field of study?

[tender river]

Bosch has a book titled algebra from the galois viewpoint or smth like that that has an english translation, rotmans advanced modern algebra also motivates algebra in the beginning keeping galois stuff in mind. you can keep these books as supplements

[livid yew]

Appreciate it. I'll check them

[mortal ore]

Im an undergrad but I mainly do algebraic combinatorics

Ideally you have a good balance of algebra and analysis so matter what ur area is tho

[livid yew]

How hard is it? First year apart from being a bit more rigorous it's the same as my engineer. Discrete, algebra, calculus 1 and 2, and statistics

[lapis ledge]

Hi

[mortal ore]

The difficulty picks up quick

Analysis and algebra are famous for being hard undergrad courses

[livid yew]

More than topology?

[mortal ore]

Nah topology is much harder imo

[livid yew]

That's where most people ik get stuck

[mortal ore]

Yeah first college class i didnt get an A in

Heinously difficult class

I actually failed the final for it lol

[livid yew]

Low-key a flex

[cunning elk]

straight A until some random gen ed class i slacked off too much in

had managed to weather the storm of analysis and algebra but no it was some random non major class that did me in

[cunning elk]

"language and society"

cool class i just slacked off too much and missed the A cutoff by a hair

[wicked fractal]

Numerical analysis might be the only class I took where my ass was whooped multiple times

[cunning elk]

oh god that class was

pain

the midterm averages were so cooked that

the prof just multiplied the percentage score for them by 1.25

[wicked fractal]

god that class made me 100% sure applied math is not for me

I don't understand when people are like "yeah if u find pure hard then do applied it's easier"

WDYM EASIER I WOULD RATHER COMPUTE COHOMOLOGY ALL DAY THAN DO ANOTHER NUMERICAL METHOD

[cunning elk]

"applied" is just a misnomer to lure in naive high schoolers

[wicked fractal]

yeah real

tbh i didn't take that class cuz I wanted to

it's a core class so I have to

and what's better than taking a core class you're not into amirit

but I was open about it and thought maybe applied is fun after all

(I was wrong)

[midnight gulch]

numerical analysis being required is rough

[glad rampart]

whats a good theory focused lin alg book for a beginner to the subject?

[remote knoll]

@glad rampart are you a math major? If yes, then Hoffman and Kunze, if no, then Georgia Tech's online book

Axler is also a good book, but the ordering is different from normal, and while the author argues that there are good pedagogical reasons for that, it's still a bit of an odd choice that makes it difficult for me to recommend.

[glad rampart]

im not in college but i want to do a math major eventually

but i only know calc 1 and 2 out of the typical undergrad math courses

[remote knoll]

Maybe your first encounter with Linear Algebra should be the Ga Tech book. It's quite good, and more approachable if you don't quite have the mathematical maturity yet for Hoffman

[glad rampart]

alr ill go for that

thanks

do you have a link to it by chance?

[remote knoll]

https://textbooks.math.gatech.edu/ila/

[glad rampart]

thx

[dapper root]

https://tenor.com/view/luntry-luntryifunny-luntryy-gif-26563187

Ackshually piracy isn’t allowed on this server and you should know that. Supermods, whack his peepee

[remote knoll]

[tribal crow]

[remote sparrow]

#book-recommendations message

[stark turret]

Do books like the art of problem solving actually help with regular math or is it mostly just useful for competition prep

[tender cobalt]

just competition prep

but it'll improve your basic math solving skills

[normal crystal]

wrong
aops has books for prealgebra to calc
the two volumes that are redundantly named are the smattering of topics for comp math/problem solving

[stark turret]

i mean the paul zeitz book

[normal crystal]

that's The Art and Craft of Problem Solving
but ok, sure, the previous answer

[cunning elk]

the aops aops books (vol1-2) are uh

extremely dated and not as useful for modern contests

[vale palm]

These r license free open source documents for pre uni n uni stuff

[small estuary]

Is excursion upto imo level?

[short fable]

GaTech's book is nice

[remote sparrow]

there are a lot of theoretical linear algebra books suitable for students who have only had single-variable calculus

[still lily]

wouldnt a math major have learnt linear algebra or are those not taught in undergrad courses

[remote knoll]

You will need to take linear algebra at some point during undergrad. If they're just starting out, like as a first year, they might not take lin alg in first or second semester. They might just be doing core stuff instead

[still lily]

ahhh alr thanks i dont know much about where lin algebra stands overall

[remote knoll]

Pretty early in an undergrad, for the record

I would expect year 1, but year 2 is conceivable

[rapid lily]

Hoffman and Kunze ❤️

never heard of GA Tech's book I will look into that

in my lin alg class we used Hoffman and Kunze for the theory and then another book called Shaum's linear algebra which was a lot more down to earth more computation based

[blazing holly]

If pure math - probably year 1 spring
If applied math - year 2 fall

That’s what ive seen online + from experience

[remote knoll]

I like it because it's interactive

It's also just super down to earth.

[untold ember]

Hi I'm looking for a book for beginniners on pretty much anything theoretical or physics based. My education is pre-alg, algebra, pre-calc, geometry, trig, physics, astronomy, linear algerbra, calculus, and im in statistics right now. I will probably not get further than his in formal education because I am just going for a biology major but my uncle and my grandpa are physic majors and math nerds and I really admire them especially my grandfather and it is just interesting to me and even though I am not going to go into it professionally or formally I still like learning about it. Thank you.

[remote knoll]

@untold ember my recommendation is to take differential equations (along with any prerequisites) then take classical mechanics and electrostatics then electrodynamics. You can already take quantum mechanics, and once you are done with your statistics course you can then take statistical mechanics.

This will get you through like 80% of a physics undergrad

For differential equations, Arnold's ODE book comes highly recommended, though I never personally used it

As for the rest, probably best to ask the physics server

#old-network

[faint turret]

Are james stewarts book freely accessible online?

[umbral field]

no

[faint turret]

Damn

What about thomas' calculus

[umbral field]

also no

[faint turret]

Damn²

What calculus books are free to download?

If you don't mind me asking

[umbral field]

check the calculus section here: https://textbooks.aimath.org/textbooks/approved-textbooks/

not a textbook but also a valuable calculus resource https://tutorial.math.lamar.edu/

[faint turret]

Thank you

[faint turret]

What about foundations?

[umbral field]

wdym by foundations?

[normal crystal]

if you mean HS math, they have books on that page

[faint turret]

Proof?

[faint turret]

No i am in uni, I mean proof

[umbral field]

it has a section on introduction to proofs

[normal crystal]

I mean, you asked for calc books
asking for foundations suggested HS math
but yea, if you looked, you would already know

[faint turret]

Fair enough 😭

[faint turret]

Thank you

[trail void]

if u want engineering math

u cld just search Howard Anton Calculus

its like there

[grim wyvern]

Calculus to cohomology is best

[quiet patio]

personally im enjoying "book of proof" by Richard hammock

the pdf is free online too

yeah it's in that list too

just noticed

[faint turret]

Yes i saw it too!
Thank you for recommending it

[thorny nest]

can someone suggest something for ISI/CMI entrance examination
i have already done some pathfinder, but sadly it doesnt include calculus
also im very unfamiliar with proofs in calculus and need to practice proofs (how do i do that)
ive also attempted some sample papers (past 4 years) and the stuff from before then is in my opinion irrelevant now (idk much)

for people not living in india, this is for an entrance after high school

[mortal iris]

Depends on the expected level of rigor in the proofs. A typical choice would be something like Spivak since it has some great problems. I live in India but can't really say what the expectation of that exam is. Hammack also has a section on proofs in Analysis.

[thorny nest]

can i share a sample problem that i found really tough

i dont even know which chapter they are asking this from

[mortal iris]

Typically not a great idea to break math problems down to chapters and topics unless it's for coursework lol. This problem is geometry, algebra optimization and calculus if you really think about it. Possibly more.

[thorny nest]

what are you studying in india

[mortal iris]

I'm not studying at the moment. Teaching and working as a researcher (technically is studying but I get paid).

[thorny nest]

wow

thats my dream

[mortal iris]

Btw in case it was not obvious this set of points is the interior of an ellipse so the result is the length of the major axis. Not a hard problem.

[thorny nest]

how did u even solve that

😭

the thing is

i did it

but its a rotated ellipse

and idk how to find the length of major axis of ellipse that is rotated

[mortal iris]

Kinda (intuitively) obvious when you see the equation for the interior of a unit circle and then transformations to stretch it along one axis and compress along the other.

[thorny nest]

idk transformations (i know only 12th level)

[sly nebula]

Would you be interested in the relevant server or DM? I hardly assume people to be familiar with such niche exam in the country itself, and in that too you're using abbreviations 😄

[thorny nest]

is there a server for this

and i didnt know ISI exam was niche

[graceful quiver]

ISI exam is indeed pretty rare

in the states, not just your country

[thorny nest]

i was prepping for ioqm so everyone of my friends wanna get in ISI

[sly nebula]

It is, and yes there is a specific one

[thorny nest]

yes you can dm me link pls

[sly nebula]

Well the sample space is wrong 🙂

[sly nebula]

Sure, no problem

[mortal iris]

You have the equation for the ellipse. Assume any two points on the ellipse that satisfy this equation. Then find the conditions to maximise the distance between them. After that it's a bit of Algebra. This is the annoying but straightforward way to go about it.

[thorny nest]

thats a nice one

[thorny nest]

NO WAY

WHY DID I NEVER THINK OF THAT

i once read a formula in sl loney

to rotate axes

by angle theta

and i tried with that

but i could just use calculus

ill try

thanks man

[livid blade]

Another moderately low-tech solution is to rewrite in polar coordinates and find the farthest point from the origin

[mortal iris]

Different ISI I presume

[sly nebula]

Aye sir, it is a university entrance exam. Can you brief me on the ISI you have in mind, though? 😄

[mortal iris]

Arguably the nicest way to do it. I assumed OP doesn't know of the polar form. Typically Conics are better dealt with using the same.

[mortal iris]

Plenty of others exist. Not sure why ppl in the states would say it's rare considering the one in question is that of the Indian Statistical Institute.

[sly nebula]

Yep 🫠

[thorny nest]

@mortal iris will studying transformations help in ISI

[graceful quiver]

transformations might help with complex shapes

[thorny nest]

i know basic ones that we did in calc like shifting and scaling , but not these ones

[mortal iris]

I have no idea about either exam. But usually studying Euclidean Geometry is helpful for intuition in Analytical Geometry problems. However, Calculus can make life simpler in many cases as well.

[sly nebula]

Do the previous years? You'll get the better idea that way brother

[thorny nest]

i have

but im not able to solve most problems

im fine with the first paper

the subjective one is way harder tho

[graceful quiver]

subjective one can be real brain twister sometimes

but don't worry, you'll get the hang of it

[serene vigil]

Can you reccomend good books of euclidean geometry?

Like real

[mortal iris]

It's around RMO level usually.

[serene vigil]

With constructions

[mortal iris]

Wym

[thorny nest]

yeah 💔 i couldnt even clear ioqm

scored ony 22.5

[mortal iris]

What kind of book are you looking for?

[serene vigil]

Without equations. Idk how to explain

[thorny nest]

evan chen is a really good book with constructions

[mortal iris]

Then you're looking for artwork

[serene vigil]

Hmm no,equations coming after what i am saying

[mortal iris]

What do you mean no equations coming after?

[thorny nest]

he doesnt want results

only constructions

i dont think anything like this exists

try NCERT maybe

[mortal iris]

Pathetic for mathematics

[serene vigil]

I am refering to this

[thorny nest]

pathetic for being called a book

[mortal iris]

Anything Indian at the school level is, usually.

[sly nebula]

[thorny nest]

imagine downloading a random file from the internet

[serene vigil]

Is in spanish

[livid blade]

unironically, have you tried actually reading Euclid?

[serene vigil]

Is not of euclid

[sly nebula]

thanks sir, I'll try sleeping instead

[serene vigil]

Is professor's book from an university

Why you are so rude?

It was just a question

[thorny nest]

i was not being rude

[serene vigil]

Then just answer the question

[thorny nest]

i meant to imply that you shouldnt expect others to download whatever you sent

[serene vigil]

No

Or yes

[thorny nest]

it could be anything

[thorny nest]

what was the question again

[serene vigil]

What do you think i would do?

[thorny nest]

i dunno

[serene vigil]

Idk if was you or other

But someone ask what i was refering

And i sent the archive

[serene vigil]

What do you think about constructuve mathematics? Im curious

[remote sparrow]

synthetic geometry

[median edge]

Does anyone have a nice textbook for topology?
I am currently doing james dugundji, but the exercises have errors, and the terminology is a bit old, (like they call a set residual if it's complement is dense, but currently residual set seems to mean something else)
But other than that the book is really nice, so something of a similar style would be good.

[sly nebula]

Willard's is modern iirc

[serene vigil]

Exactly, i am not a huge fan of it,but im curious

And they strart to insult euclid

Idk what they did that jsjaja

They are crazy

[median edge]

i guess akopyan geometry in figures is good, but its just exercises

[graceful quiver]

idk what's going on but seems like a debate about euclid's greatness or lack thereof. is this a thing in your class or reading?

fr, i'm not really familiar with euclid's modern relevance tbh.

[serene vigil]

No,is just personal

I like to see the history of maths

[serene vigil]

You say that they thinked i was saying euclid is relevant or something?

[livid blade]

I was suggesting reading Euclid if you wanted a primarily synthetic presentation of Euclidean geometry, emphasizing constructions, and had not actually done so

[livid blade]

Unless you really need all the point-set topology technology for something like functional analysis, I would suggest John Lee, Introduction to topological manifolds rather than a classical point-set topology text like Willard (though that is a good one) or Munkres.

[graceful quiver]

since you said it's personal, i'm good with leaving it alone, but if you ever want to chat about euclid or geometry, i'm game

[serene vigil]

I did not understand what you said

Jsjaja

Sorry

My english is not the best

[trail void]

Have you read this?

[brittle rose]

hey everyone, i already wrote this in #math-discussion but ill write it here as well

im looking for good math textbooks specifically about calculus... i have dyscalculia and have always struggled with math throughout school and university. i used to be a computer science major but had to switch majors because i failed math badly and i just couldnt keep up with everyone else, it actually caused me to lose a lot of confidence and just give up..... math is something ive always wanted to be able to do but none of my teachers/profs were able to teach me in a way i actually understood. maybe you guys can help me out

[trail void]

would you like calculus specifically tailored more towards engineering or more towards rigorous mathematics? :))

[brittle rose]

hmm perhaps rigorous mathematics for now

[trail void]

Assuming this isn't your first encounter with calc, perhaps you should check out Spivak or Apollo :)) its what most people here recommend anyway

[brittle rose]

its definitely not, it absolutely kicked my ass in hs and uni😭 but thank you i will check it out! :)

[trail void]

honestly as much as i used to despise lectures or youtube videos

i very much appreciate them now :))

theyre really good for supplementing

be gentle on yourself, it'll be a fun ride trust me

[brittle rose]

alright, thank you so much :)

[mortal iris]

Aah. That makes so much sense now.

[mortal iris]

I prefer it wherever possible honestly.

[mortal iris]

Seen a bit of it. Pretty good.

[serene vigil]

Can you write the author's name?

[serene vigil]

I don't understand you

[livid prairie]

for probabilistic combinatoric do i need probability theory, can anyone recommend me a book as a provider to infomation i need before taking the class

[flint dove]

I am not sure if this is what you are looking for, but you could read “una introducción a la geometría euclideana del Plano” by Salvador García Ferreira, it’s on Spanish

[peak hearth]

What do you guys think about the book “An infinitely large napkin”?

Do you think it’s actually a good course on any of the areas it covers?

Alright!

[trail void]

Have you looked him up on ratemyprof? One of the most mixed reviews ever LOL

https://www.ratemyprofessors.com/professor/26848

yes i have a feeling the lower reviews are people who were tryna survive the class rather than thrive in it

[odd cargo]

writing reviews is lame as fuck

[peak hearth]

ratemyprof is biased against the professor

Nobody except those who really hated them bother to write a review

[odd cargo]

To me personally, a professor has to be citytutoring level loopy for me to be writing anything negative or positive about them.

[midnight gulch]

depends on the sample size

especially at community colleges / large public universities, there tends to be a lot of reviews, and the rating is accurate 95% of the time

generally the more sections a professor teaches the more accurate it is

[tight narwhal]

has anyone read Flatland: A Romance of Many Dimensions ?? what r ur thoughts

[midnight gulch]

its alright

i wouldn't recommend it to anyone but it's not like a bad book either

[cunning elk]

it’s meant to be a sampler of various higher topics; for a fuller treatment of each one specifically go look for the books that Evan references, etc

fwiw i used it to supplement my textbook when taking abstract algebra and did find it helpful

[mortal iris]

Profs may be good or bad at teaching but ultimately the course was taken by you for whatever reason. Their job is to just come and blabber. It's your job to get over the line. And if you're whining about the profs because of the difficulty as it is in these reviews, it's because you don't know the material well enough yourself. And if you don't, how exactly are you qualified to comment on their abilities?

[midnight gulch]

some professors are just dogshit at teaching though

absolutely incompetent

i don't think teachers like that deserve the excuse of "go learn by yourself"

i mean that's what you should do in that situation, but its still ultimately their responsibility to do their job

[pale scarab]

Their textbooks cover the standard material and then they just pull tougher problems from old contests. It's honestly nothing special in how they present the material. You could just grind old contests and that's what most do who get better at contest math

Now the books by Hung-Hsi Wu are pretty great at trying to present high school math. It's aimed at teachers but they are solid. Probably not great for a first time learning though..

[cunning elk]

aops vol1-2 was written in the 90s lol

when the contest scene was not nearly as developed

[pale scarab]

The books by titu andreescu are good for contest math and he is always putting out new ones to keep up. Though again most just grind contest problems and pick up techniques along the way.

[lone bloom]

hello everyone, i want to learn about quintic equations. any good material to get started with it?

[midnight gulch]

'beyond the quartic formula' by king if you want to go in depth on that specifically

[lone bloom]

that one seems good for me, ty so much

if you got any i would appreciate any other recommendations of material on the same topic

[midnight gulch]

is there anything specific about the quartic equation you find interesting?

either way i would look into a book on galois and field theory (king's book does this but not much)

[lone bloom]

i find myself interested in how the ferrari's method makes the equation simplier step by step by transformations

[lone bloom]

the one by morandi?

[midnight gulch]

i wasn't referring to it specifically but yeah that book is good

probably the one i'd reccomend

[midnight gulch]

yeah king's book or something similar would be the one to go into stuff like this

[lone bloom]

oh its title is the same lol

[lone bloom]

hmmm thats nice

[midnight gulch]

there's probably others but thats the deepest one I know of on the topic

[lone bloom]

thank you so much

[normal crystal]

Chipper about to buy two copies of his prof's textbook

[mortal iris]

Professors in mathematics and natural sciences are typically employed as researchers with a lecturing obligation. They're usually neither trained to nor assigned to actually "teach" anything.

The good ones generally pick it up and are more often than not great at explaining the material. The bad ones are those that try to parent you.

[normal crystal]

it's funny this started asking about a book
the rmp rating wouldn't necessarily be in line with the book quality, even if the rmp rating was "accurate"

[mortal iris]

Yeah never quite understood why it was even brought up.

[trail void]

i just thought the mixed reviews were funny loll i wasnt whining or anything

i saw the book being available in a library not too far away from me so ill pick it up

[tender cobalt]

@hybrid sigil yo bro, do you have any resources about malware analysis and cyber security?

[hybrid sigil]

mm, at some point I was interested in reverse engineering and CTF competitions, it's kinda related, I've got those books left:

[tender cobalt]

ohh

[hybrid sigil]

but it's not like I read them much :) I think I read only Yurichev's book. I felt it was more fun to just jump in and play with it, there are tons of servers to practice/participate in CTFs

[tender cobalt]

I seee, ive got that hacking book pdf and the shellcoder handbook one

[tender cobalt]

Whats CTF

[hybrid sigil]

"Capture the flag" - https://en.wikipedia.org/wiki/Capture_the_flag_(cybersecurity)

[tender cobalt]

Also btw I've noticed alot of books are based on 32-bit systems, i wonder if its going to be a time waste going through them

[tender cobalt]

Ohhh

i started pwn.college and i see that flag thing

i see so that's what it's about

[hybrid sigil]

yeah, there are lots of different challenges out in the Internet that give you gradually more complex tasks and you try to reverse engineer some code or find vulnerability, create an exploit and so on

it's a lot of fun

[hybrid sigil]

I don't think the bitness matters that much when you are just learning basic techniques

I remember trying and liking those (practice CTF, some "wargames", reverse engineering practice, etc.):

• https://overthewire.org/wargames/
• https://pwnable.kr/
• https://picoctf.org/

[tender cobalt]

sounds really fun fr

[tender cobalt]

ohh i see, thanks

[tender cobalt]

Alrrr thanks for the resources

This seems more fun than competitive programming

🥶

[hybrid sigil]

there are tons of them, and each has a lot of challenges, so you won't run out of them soon. Plus there are always some real competitive CTFs always going on, see https://ctftime.org/

[tender cobalt]

Oo i see

Curious if i can apply any of these skills in practical scenarios

like finding bugs and creating patches for exploits

[hybrid sigil]

I guess you can, depends on what you are doing. If you code in lower level languages then it can teach you what not to do in your code :)

[tender cobalt]

Binary analysis and reverse engineering is really cool but why does everyone use IDA pro

[hybrid sigil]

I haven't applied those skills much at work, maybe only to become more comfortable with doing some analysis on actual binaries. I remember that it became handy once or twice when I was dealing with some particularly low-level issue

[tender cobalt]

ohh i see

your work revolves around compilers right

[hybrid sigil]

no, not anymore

[tender cobalt]

ohh

@hybrid sigil Mann low level stuff is reallyyyy fun

idk whats with the web dev or ai hype

computers are fun

[hybrid sigil]

it is

[shut grotto]

Hey people, I need some help in structuring how I should learn algebra over the next 2 months (I won't be doing algebra just for 2 months ofc but I have other things planned after the next 2 months which I can't do now so I wanna utilise the time I have rn)

I will be studying for about 1-2 hours a day consistently (and more if time permits)

I have no prior algebra knowledge other than having done LADR 4th ed, and in the past I have done baby rudin ch 1-7, spivak CoM ch 1-3, and folland upto ch 2

I have a book I wanna do afterwards which states the following for its algebra pre requisites: "some basic definitions and results from linear algebra and the theory of rings and ideals are needed" so if I can learn algebra in a way to cover this within the next 2 months that would be nice as well

[tender cobalt]

you can try taking a look at a rings first approach book on algebra

like Aluffi's Algebra Notes from Underground

[shut grotto]

ain't that a book by dostoevsky (Will look into that, thank you!!)

[tender cobalt]

😂 yeah it is a reference to that

[lapis ledge]

Do you guys have good books/sources for Competitive Geometry?

like Olympiad Level Geometry

[safe depot]

Do yall have any good (online) books about calculus and linear algebra? I really like calculus and I would love to learn more about it

[lapis ledge]

I only know hard books

[safe depot]

Works too

[lapis ledge]

calc and lin alg are two different topics so two diff books

[molten gulch]

Openstax calculus, paul's online maths notes

GT linalg book https://textbooks.math.gatech.edu/ila/

[lapis ledge]

Like do you want Calc 1 or Calc 2 multivariable Calculas

[safe depot]

I thought they were all in each others business. I can't google "line integral" without seeing "assume V is a vector field"

[lapis ledge]

Thx

[safe depot]

The latter, I think I know Calc 1 well enough by now

[safe depot]

Discord warned me that you could be a spammer wthellie

[molten gulch]

Now learn single var riemann integration techniques in calc 2 before you attempt multivar, for multivar you probs want to do some linalg before or alongside it

[molten gulch]

https://cdn.discordapp.com/attachments/1429659477031784451/1475196454719979662/image.png?ex=69aa7302&is=69a92182&hm=5d62c03b4a89bd76c879436d0555152c6f635fee3e659cadb6425250d53609d2&

[lapis ledge]

Can you help me find a Geometry book?

[midnight gulch]

yes, teaching in this context is simply lecturing and managing a class, which many still fail to do

[molten gulch]

I've told you to not talk to me so many times

[safe depot]

this?

[lapis ledge]

But i am being serious.

[midnight gulch]

evan chen's math olympiad geometry book

[molten gulch]

Nononono that is real anlaysis not calculus

[lapis ledge]

Ok

[lapis ledge]

Thx

[safe depot]

Omg seriously what is the difference? Is real analysis a superset of calculus or what

[molten gulch]

Superset but also is generally proof based

[safe depot]

And calculus is more guided by intuition?

[molten gulch]

Kinda

[lapis ledge]

But actually I have changed please unblock me.

[safe depot]

I should hang out in this server more often

[molten gulch]

<@&268886789983436800> continued messaging and harrassment even after blocking the user

[lapis ledge]

What i stoped the ping and what you mean harrassing?

[safe depot]

Is there a way to turn off that "likely spammer" thing this is getting annoying

[molten gulch]

Nope, discord basically shadowbanned me for 2 years

[safe depot]

How long have you been shadowbanned for yet?

[proud osprey]

I've never gotten that warning with you for some reason, a few times with other users though

[molten gulch]

1 month

[lapis ledge]

it doesnt show on mobile

[molten gulch]

Doesn't show on mobilw

[proud osprey]

Oh huh

I never use desktop version because literally every time I want to start it up there's an update and I need to go through the trouble of installing it

[lapis ledge]

FR

They have to fix that it's F****ED up

[tame tree]

updating apps is F**ED UP

[lapis ledge]

No it just shows up every time i launch the app

and it takes like at least 30 min to load

[tender cobalt]

Bro this wargames thing has me hooked for past 4 hours its really damn fun, I went from the unix bandit level 1 to 13 today , and damn the 12th level was crazy nested compressions. I wonder whats next. I'm trying out their web security one rn

[hybrid sigil]

Haha, cool, glad you’re enjoying it!

[boreal schooner]

Someone suggest me some books for ode and pde

I'm a beginner

[remote sparrow]

boyce and diprima is fine for basic ODEs (no need to use the whole book)

strogatz is a good follow-up

rustum choksi's book is good for pde

if you want problem-solving with PDEs that have closed-form solutions, take a look at this: https://books.friesenpress.com/store/title/119734000096993421/T.-Hillen,-I.E.-Leonard-and-H.-van-Roessel-Partial-Differential-Equations

[odd cargo]

Stanley farlow has a nice intro to differential equations book

but probably need to supplement it with other resources

[boreal schooner]

Okay

[signal zenith]

Ok wait this is kinda weird but it no longer shows you as a spammer for me

So maybe you’ve been shadow banned to some ppl but not others lol

[molten gulch]

Nope, it only does not show on mobile

[molten gulch]

[dawn sandal]

Why are you a likely spammer? 🤔

[molten gulch]

How did it get wet?

[fallow aspen]

are only certain pages wet, or all of them?

[remote sparrow]

hair dryer?

is there a cold setting

[fallow aspen]

this might have some useful info

https://www.sl.nsw.gov.au/research-and-collections/building-our-collections/caring-collections/drying-wet-book

but i think generally

1. drying it off if still wet
2. putting paper towels between wet pages so it can soak up moisture
3. set it up spread out in a well-ventilated room/in front of a fan

[fallow aspen]

this may be a little overkill though

[narrow wing]

Claudio Canuto & Anita Tabacco
Real Analysis Volumes 1&2

lots of pictures and solutions

[fallow aspen]

Would it be recommended/required to work through a rigorous LA textbook (my current background is a computational LA course) before working through Artin's Algebra (or another abstract algebra book at a similar level)

[livid blade]

For Artin specifically (or Knapp, Basic algebra), no, you don't need a separate linear algebra text. The answer is "yes" if your first year algebra text thinks that "linear algebra" means "the chapter on modules over a principal ideal domain", like Jacobson, Basic algebra I and many others.

[fallow aspen]

So if I intend to study abstract algebra eventually anyway, would you say it's more worth it to immediately start working through Artin/Knapp rather than an LA text + Jacobson? Or would going the LA -> Jacobson (or a similar book) route end up covering more and preventing gaps in my knowledge that will be problematic if i eventually move on to more advanced subjects?

[livid blade]

Learning is a spiral, not a straight line. If you keep studying math, you'll eventually see every topic from multiple perspectives and in multiple presentations.
Artin deserves its usual recommendation as the best place to start learning abstract algebra, precisely because it makes so much contact with the rest of mathematics, starting with a sound presentation of linear algebra (which then lets him use matrix groups as primary examples of groups, which you always want, and also lets him do cool applications later).
IMO you'll have more "gaps" by choosing more "pure specialist" but older texts such as Jacobson or Lang, because they will do less to help you understand how the material you're learning fits into the larger picture.

[fallow aspen]

okay that makes a lot of sense, I think Artin's algebra sounds like the book i'm looking for then. Thank you for the detailed answers!

[viscid siren]

I passed high school calculus and need something to help me for my community college placement test

Pls recommend me something I'm desperate

[midnight gulch]

depends what the placement test is

[viscid siren]

For transferring to uconn electrical engineering major

Be aware I only have a sophomore understanding of mathematics

[midnight gulch]

is that a special exam for the ee department or just the normal math placement test?

[viscid siren]

Normal, I need a high score to transfer into uconn

[midnight gulch]

it appears to just be algebra and trigonometry material unless i'm missing something

thats also usually all that these placement exams cover, since they are used for eligibility to take calculus i

[molten gulch]

If you have calc credit shouldn't that transfer and let you skip the placement exam?

[viscid siren]

I already took calculus in high school

DOES IT ?

[midnight gulch]

did you take the calculus sequence at your community college?

[viscid siren]

I took calculus in high school

[midnight gulch]

yes but you said you are transferring to uconn

i assume to transfer for ee you need to take the calculus sequence

[molten gulch]

If it's ap calc and you got a good score, you should be able to transfer it

[normal crystal]

it depends on the school, they might have to take the placement test anyway

[viscid siren]

It was regular calc and from a long time ago

[molten gulch]

Ahh I see

[viscid siren]

I got that big ass calculus book with the violin on it, will it be enough ?

Calculus by James Stewart

Pls don't be mean

I've heard it covers calculus 2 and beyond

[normal crystal]

does the placement test even cover calc
you should just check yourself what the placement test covers then you can ask for appropriate material
but it's probably just standard HS math up to calc

[viscid siren]

It's at gateway so I'll check

Uconn is a pretty good university

[blazing holly]

Thats the go-to calc textbook

So you should be set

Do you know what will be on the placement exam?

[viscid siren]

Yeah it only covers algebra and geometry

And pre algebra I should be fine

6th grade stuff

I should probably still study calculus anyway though

[blazing holly]

True but I think its best to study calc after you already passed the exam

That way you aren’t overworking yourself

[viscid siren]

Math is easy for me

I think I'll be fine

[velvet flax]

how much sheaf theory do i need to read ega

because ive been reading maclane-moerdijk to prepare

but i cant help but feel like its a bit overkill

[rare salmon]

i need a good book on real analysis. which one do i get?

[midnight gulch]

basic constructions of presheaves and sheaves, stalks and germs, sheaffification, subsheaves, quotient sheaves, functoriality, ringed spaces

could be missing some stuff but thats around what would be necessary

[velvet flax]

alr ty

[midnight gulch]

there are a lot of good choices. what is your background?

do you have good experience in proof based mathematics?

[rare salmon]

no

so is there something i should learn before getting into it?

[vital bane]

Do you know calculus?

[midnight gulch]

not necessarily, you might just want an easier introduction, e.g. Tao's Analysis I & II

[rare salmon]

yes

mostly

[vital bane]

Then Tao or Abbott would be good

[rare salmon]

ok

[rare salmon]

tao ig

thanks

[dapper root]

Does it not develop sheaf theory in the book lol?

I just don’t really understand why you’d want to go read EGA except for finding a specific result

[velvet flax]

improve french skills

[dapper root]

lol

You won’t learn French reading EGA, you’ll learn French math.

[velvet flax]

thats really all i care about

so that i can read sga

[daring wolf]

Lol you can still do that after learning algebraic geometry from other materials

and it's better way to do that

[deep gazelle]

any good book recommendations on measure theory except folland ??

[sage python]

Try "Real Analysis for Graduate Students" by Bass

[deep gazelle]

alright will check it out

[signal zenith]

Measure theory and fine properties of functions Evans Gariepy

[river rock]

anyone can recommend me a book for statistics?

[tender cobalt]

@hybrid sigil yo bro do you have more low level resources like writing a compiler, kernel etc

[hybrid sigil]

I think I already shared some list of projects for that

[tender cobalt]

ohh got it

[hybrid sigil]

Or do you mean books?

[tender cobalt]

Books

do u suggest books for those tho or do u think project based learning is better

[hybrid sigil]

Combination of the two is probably the best

[tender cobalt]

Oh alr

[hybrid sigil]

You can take a book like “Crafting interpreters” and do a project alongside

Or the one that @green aurora found

[tender cobalt]

what about a book for writing bootloaders kernels etc

[hybrid sigil]

Siek - Essentials of Compilation

[hybrid sigil]

You have to understand how OS work, I’d recommend OSTEP book

There are exercises

https://pages.cs.wisc.edu/~remzi/OSTEP/

[tender cobalt]

what are the prereqs for the ostep book

[normal crystal]

C, programming experience, comp org/systems

[tender cobalt]

Alr thanks

[tender cobalt]

Ty for the recommendations

time to become linus torvalds

[hybrid sigil]

Mm, some programming skills?

It’s an easy book

It’s called “Three easy steps” after all 😁

[tender cobalt]

ye that i got

other than that i got no experience with like cs app harris & harriss stuff etc 😔

[tender cobalt]

🤔

Lemme see

[normal crystal]

you're asking for low level resources then mention not using the common references

[tender cobalt]

😔 just looking around

[normal crystal]

RISCV Mansion when

[hybrid sigil]

Haven’t even seen their book. But so just you know his name is David Money Harris

[normal crystal]

is that what she says in class
"please buy my book, still recovering from 2008"

but why
why was that relevant for her class

[normal crystal]

you should've raised your hand
"couldn't we have used this expected free time to actually learn system verilog last semester"

is there another sale or just browsing

https://www.cs.cmu.edu/~fp/courses/15317-s23/

if you want
I was just sending it because you're interested in the topic

[hybrid sigil]

Have you done some more reading of that book or course, by the way? What are your impressions?

[normal crystal]

what do they follow in your prof's course

wut
link this trash

oh right
np

[gilded ivy]

Does anyone here have some recommendations on higher number theory?

[thorny nest]

what exactly is higher

[mortal iris]

Probably algebraic number theory

[thorny nest]

i did somewhat of david m burton

but couldnt get it as much

shifted to pathfinder 🥀🥀

[thorny nest]

pearson

but that is just vanilla

[vital bane]

dm me, I want to dox you

[quiet patio]

lmao

[mortal iris]

That would be elementary number theory

[thorny nest]

yeah 🥀

i used to like number theory until i got to know it has an imaginary twin

[wooden moth]

i need some help guys, i have been doing BS in math and phy but due to health problems i'm going to drop my clg but i want to continue leaning stuff but i can't find any good resource to continue.

[hollow lintel]

I need like a good book

Preferably a reality thriller

Not too long btw I don't have that long of patience

[gray gazelle]

war and peace is a pretty short one

[hollow lintel]

I see

[molten gulch]

it is not short

[gray gazelle]

i joking haha

most publications split it into 3

[tender cobalt]

do you guys recommend any good popscience books to use as a replacement for youtube popscience?

Just to yk learn more about what to learn

[trail void]

Reverend Insanity

very short

oh since youre chinese u can read it in chinese

[agile vale]

can someone recommend me any good books on thriller and murder mystery

[compact bough]

anyone know any good sci fi that isn't just "what if aliens exist"? i'd accept anything cyberpunk/dystopian as well if that helps

[wicked fractal]

What did women do to bro

[gray gazelle]

litterally nothing 🥀

[compact bough]

i mean what do you expect from asimov

eyesack ass him off

[compact bough]

we existed ig 😔😔

[livid blade]

CJ Cherryh's Alliance-Union books (the most famous are Downbelow Station and Cyteen) hold up pretty well, mostly because she writes fiction about people first and science second. (This is also true of her books that do have aliens, where the focus tends to be on all the ways the aliens are not just people in rubber masks.)

[velvet summit]

read 3 days of happiness

[half saddle]

Hi i am beginner who wants to learn maths,cs,electronics and logic ,any book recommdatoons please

[tame tree]

jules verne

lovely and whimsical books

[compact bough]

thanks everyone for the recs!

:3

[gray gazelle]

heres a guy who knows ball

[proud osprey]

Ted Chiang's short stories are really good

[viscid siren]

Real quick, I'm programming an rpg with multiple systems. Can you recommend me some mathbooks for all the math I'll need while programming ?

[midnight gulch]

you don't really need any math beyond basic algebra for 95% of programming

[compact bough]

most ppl aren't making physically accurate flight simulators after all

and usually ppl use existing physics engines

so yeah you'd be good with algebra

[midnight gulch]

some linear algebra would be good though

[tiny lava]

can someone give a recommendation for abstract algebra? i was thinking of artin, so if anyone who's read artin could tell me their thoughts of the book?

[ember lark]

for what

[midnight gulch]

programming?

scroll up

[ember lark]

yeah i meant for what in that context

linalg knowledge is overkill for making a game

[midnight gulch]

yeah not for game development specifically

just saying linear algebra is good to know in general as a programmer

[ember lark]

ah

[midnight gulch]

it is applicable in a lot of cases, even ones totally disconnected from applied math / science contexts

[trail void]

do u think majority of programmers dont know lin alg ?

[midnight gulch]

i think many beginners don't

why u putting words in my mouth

[trail void]

at what point is it standard to them?

[midnight gulch]

university generally

[trail void]

not my intent, maybe the wording is rough

[midnight gulch]

the person i was responding to i think is just entering university so i assume they haven't done linear algebra yet

[trail void]

towards the end of the degree usually?

[midnight gulch]

first year or two, sometimes towards the latter half depending on the university's requirements

[molten gulch]

first year of uni

[tiny lava]

bumping: can someone give a recommendation for abstract algebra? i was thinking of artin, so if anyone who's read artin could tell me their thoughts of the book?

[midnight gulch]

artin is good, there are some other reccomendations here #book-recommendations message

i disagree with the first part, i think books like pinter or gallian are good for certain people, but that's beside the point

[tiny lava]

okay ty

ill just read it

[tiny lava]

i saw pinter and fraleigh and they seem pretty shallow

[midnight gulch]

one man's shallow is another man's deep

i'm just saying that they aren't pointless, for some people (e.g. me 5 years ago) books like pinter are really good

[tiny lava]

that's true

[tiny lava]

how old are you now :p

[midnight gulch]

16

[tiny lava]

wow nice

[near peak]

Hey y’all, looking for a book recommendation! I’m a sophomore in uni, took the full calc sequence and a first course in analysis, currently taking linear algebra. looking for a textbook of some sort to peruse alongside my coursework, from which I can extract ideas and methods without necessarily needing to grasp a super super solid core of theory — more problem based than proof-based … I took a peek at generatingfunctionology but found myself just a little bit out of my depth

and spent a lot of time with Euclid last year if that adds anything

[livid blade]

There is a Dover book, Z. A. Melzak, Companion to concrete mathematics, which you might find interesting. It's basically a compilation of random topics, originating in mostly-applied problems, that need undergrad-level pure math to attack.

You might also look at Duistermaat & Kolk, Multidimensional real analysis, which should be accessible with a first course in linear algebra and a first course in one-variable analysis. On the surface these books (it's a two volume set) are intended as a rigorous course in analysis of functions of several real variables; the great thing about them is that the exercises take up about half the total page count (~400 of 800) and cover an incredible variety of topics, from eighteenth-century classical analysis to Lie groups to differential geometry to quantum mechanics. (The Chapter 0 "you must be this tall to ride" exercises are a trip themselves.)

If you want something combinatorially flavored but a bit gentler than generatingfunctionology, maybe look at Graham/Knuth/Patashnik, Concrete mathematics (no relation to Melzak's book!). This book grew out of Volume I of Knuth, The art of computer programming, and is intended to cover the combinatorial analysis needed for analysis of algorithms, with the explicit goal of getting the student to the point where actually evaluating some godawful binomial coefficient sum is easier than trying to estimate it.

Finally, related to none of the above, if you want something beautiful and classical to read for culture, consider Hardy & Wright, Introduction to the theory of numbers -- or if number theory gives you hives, Hardy/Littlewood/Polya, Inequalities.

[near peak]

Thank you, I think you’ve just about hit the nail on the head with these recommendations! I’ve stayed away from number theory on some unknown principle but perhaps I’ll start by taking a look at that!

and tools to whet my analysis and multi skills are always in order

[hollow lintel]

I need a SHORT book, like below 1000 pages (you mfs are recommending me with 10k smh) preferably thriller genre is what I am looking for

[remote knoll]

When I took my signals and systems course in undergrad we used (an older version) of this online textbook https://barry.ece.gatech.edu/3084/handouts/3084bk.pdf

It was serviceable.

[fiery hamlet]

can you expand on that

[midnight gulch]

why

my point is obvious

[fiery hamlet]

okay

[midnight gulch]

all i'm saying is that those books are not bad, they just have a different focus than a standard algebra text

and saying "these should not be used under any circumstances" is stupid

[fiery hamlet]

what's their focus

[midnight gulch]

the intended audience is people who do not have as much mathematical maturity and have no prior exposure to abstract algebra

[fiery hamlet]

i see

[strong oxide]

When I was going more in depth into finding the zero's of polynomial functions, there was this grouping thing we did that I just accepted but didnt understand. An example of it was how $x - (2 + \sqrt{5})$ can regroup into $(x - 2) + \sqrt{5}$. How is this possible??

[hasty eagle]

Quinn

[strong oxide]

whoops this is the wrong channel

[strong oxide]

hey go away

shoo

[celest radish]

https://youtu.be/_vX09m9lixYthis is damn!about topology

[runic heron]

due to associativity ! like a*(bc) can be wirtten as a (ab)*c, and whereas also (A+ B)+C can be written as A+ (B+C) so!

but wait

x-( 2+ sqrt(5))

should become as x- 2 - sqrt(5)

and u r saying why does it becomes (x-2) + sqrt(5)

THis is not possible

where does + sqrt(5) comes isntead of - sqrt(5) goes , at all!?

your equation is not may-be correct!

[runic heron]

R u popularizing/promoting ur video?

good buissnez strategy bro

keep up!

[mint bone]

Math after meth be like

[hidden grove]

Hello?

I am looking for a book(s) on Synthetic Geometry that starts from high school and goes to Undergraduate.

I really wish the book was not "rigorous" and instead allowed me to get an overall understand of what it's contents exactly were without me having to go balls deep into the book.

So that I know what to avoid and what to read.

If that is not possible then I request anyone reading this to teach me how to get an overall view of the Synthetic Geometry landscape without having to do deep research on what I'm trying to learn.

[jagged flume]

Guys, can someone send puza geometry book in English please? If you can, just dm me.

[marsh ingot]

Some recommendations on nonlinear functional analysis?

Fixed points, regular values/points, that kind of topics

[wide geyser]

wdym, synthetic geometry is usually not studied in undergrad afaik

[trail void]

when is it studied

[shadow vector]

nvm, I read "Symplectic"

😅

[wide geyser]

Normally its not, besides a tiny bit in high school
Olympiad people study it much more in depth also in high school

[trail void]

what if people wish to study it rigorously? when is it usually done?

[wide geyser]

this is what olympiad people do, there arent any prerequisites so you can start whenever (usually they do it in high school, its just not taught in the normal curriculum)
Although tbh there isnt that much to study while staying purely synthetic, mostly its just problem solving or learning configs

yes

[shadow vector]

yee

[wide geyser]

ty

[trail void]

any booklist you recommend for that olympiad level training but designed for self studies? or should i just go for the aops one

[wide geyser]

math and cs

[shadow vector]

second semester now. But I studied more stuff on my own for a bit

[wide geyser]

aops is good to start (tbh i havent read this one but usually aops is good) evan chens EGMO is probably the best book but do it after

[trail void]

is it really worth doing?

the feynman lectures

the triple volume set

i see

thank you for your input

https://tenor.com/view/albert-einstein-lewis-strauss-oppenheimer-ignore-ignored-gif-17815186908486692369

because it is true

i shall only replace it with a more bizarre title

give me my aura role the dude deleted all his messages after conversing with me 😭

[remote sparrow]

#book-recommendations message

[compact bough]

are there any particularly long resources on fractional calculus?

[oak mirage]

idk what some practical applications are for fractional calc

but i've heard that they rely partially on laplace transforms

so a book on linear operators would work ig

this may be one

[sand magnet]

Oooh someone asking about fractional calculus
Noice

[compact bough]

ooo

[compact bough]

i'll look at it

[heavy idol]

what do you recommend for representation theory

[wicked fractal]

Serre

[heavy idol]

<@&268886789983436800>

yep

[cunning elk]

least obvious scam

[compact bough]

fr

[ember lark]

out of context it looks like ur pinging mods cuz he recommended that book

[heavy idol]

how dare he recommend serre

[wicked fractal]

now that you mentioned it im taking a screenshot

[ember lark]

you should cut it off in the middle of the moderators ping so it looks funnier

[wicked fractal]

memorable

[oak mirage]

is fractional calculus niche?

[wicked fractal]

you both should join opencry (server)

[remote knoll]

There are some uses: https://en.wikipedia.org/wiki/Fractional_calculus#Applications

but yeah, I'd regard it as pretty niche as well

[quaint plover]

hi is there a better book for number theory than this one https://www.math.brown.edu/johsilve/frint.html

as an introduction

[wicked fractal]

Silvy boi is the friendliest you can get

What are you looking for?

[quaint plover]

an introduction to number theory book that is fairly easy

or trivial to understand

[wicked fractal]

No that is not what I asked

Do you have any specific topic in mind?

[quaint plover]

prime numbers

ok i just realized silverman is the name of the writer

i thought you said another book 😭

[mortal iris]

Great book

[vital bane]

Serre is a scam? 😔

[unreal surge]

Read dee's big nuts

NO IM SORRY I MEAN

math puzzles advanced book

[livid yew]

Does anyone have any good resource to learn math language and symbols? Good book etc

[molten gulch]

You learn this while doing maths

https://en.wikipedia.org/wiki/Glossary_of_mathematical_symbols
https://detexify.kirelabs.org/classify.html

these might be useful

[thorny nest]

imagine learning every script , to never learn to speak languages

💔

[unreal surge]

Read Dee's Big Nuts

[rich hill]

Crazy recommendations going on here

[mellow rivet]

I'm going to modping you if you say that one more time

In this channel

[rich hill]

😨

FBI watch out

[obsidian dock]

[livid yew]

Ngl that's useful. One of subjects here is math language, wanted something that I can use as dictionary too

[unreal surge]

Why u acting as if ur like a mod threatening with pings instead of mutes or warns bruh but fine i wont say it again

[mellow rivet]

Mods threaten mutes and do warns

[unreal surge]

Ik

[weary hare]

How to read and write proofs by daniel j vellman

[mellow rivet]

Don't discourage modpings either

[unreal surge]

Ok sir

[mellow rivet]

You've been told im a girl, don't.

[molten gulch]

don't midgender users

[mellow rivet]

That is another thing I will modping for

[weary hare]

Pre uni? Nice

[mellow rivet]

You've been told

[weary hare]

I don't really see much high schooler around here