book-recommendations

[gray oracle]

but they're asking about putnam/undergrad contests so uh

problem-solving strategies by arthur engel

the art and craft of problem solving by paul zeitz

and then if you need a book for calculus, spivak or apostol

"the william lowell putnam mathematical competition 2001-2016: problems, solutions, and commentary (maa problem books)" has a collection of past problems if you need those too

putnam and beyond by răzvan gelca and titu andreescu is another good one

[languid lotus]

Ok thank you for your help!

[gray oracle]

i've also heard of the red book: 100 practice problems for undergraduate mathematics competitions by w. j. mccleary

[trail void]

no no aops has calculus

[gray oracle]

oh a calculus textbook yes

it's not in amc or related contests tho

[languid lotus]

Do you have a recommended order of what I should read or is any order fine ?

[gray oracle]

kinda depends where you're starting

[languid lotus]

In a ode and linear algebra, and a discrete math course but I’d assume for the Putnam I should need a deeper understanding of both linear algebra and ode topics that I can’t just learn from a combined semester class

[gray oracle]

you can start with polya's how to solve it if you want or feel it might be helpful

otherwise start with either engel or zeitz first

[languid lotus]

Ok thanks again for all your help

[gray oracle]

ofc

[trail void]

for calc1-3 do u recommend stewart more or thomas

[gray oracle]

neither if you want an actual challenge lol

[trail void]

and for linear algebra i got anton and bretscher, planning to read axler alongside analysis

[gray oracle]

apostol vol. 2 is good for calc 3

[trail void]

then? apostol or spivak? but dont they require an already foundation in calc

i was planning on reading them after stewart or thomas

[gray oracle]

yeah i was talking about univariate tho

their univariate calc books are very good

[trail void]

i shld read this after multivariable?

[gray oracle]

oh nah that's what you're learning rn

apostol/spivak are the best for learning calc 1-2

[hybrid sigil]

I quite like this book

[trail void]

it can be my first book on calculus ever?

like from pre calc

[gray oracle]

might be a bit difficult but i found it worth the read

[trail void]

do i need to take a logic, set theory and proofs course

[gray oracle]

nope

[trail void]

why do u say apostol is way better than stewart or thomas

[gleaming cypress]

hi looking for some good book recommandations i like all genres except self help

[gray oracle]

proofs

[surreal heart]

Albert Camus wrote some of my favorite novels. they're the sort that's intended to probe at philosophy, but they're also very good reads without concerning yourself with philosophy, so that's an added bonus if you're into philosophy

my favorite has been The Fall, but The Stranger is his most popular novel (also one of my favorites)

I also really like Cormac McCarthy's The Road (although this book, despite being in the academic canon, is not universally loved I think)

these books are all not very long. when I was young I loved the book The Pillars of the Earth by Ken Follett, which is the first in a series, and quite a long book. I don't remember the second book in the series and I'm not sure if I ever even read the third one but Pillars of the Earth is excellent, also highly recommend it

[trail void]

they absolutely do not probe philosphy

camus is a writer and absolutely not a philospher

i liked the happy death

[surreal heart]

is this a joke? I don't understand lol

[trail void]

its a honest review

[surreal heart]

I think not considering Camus a philosopher is a pretty uncommon opinion, why do you think that?

[trail void]

theres no actual framework

sartre in parallel is an example of why sartre is an philospher and camus not

he doesn't dive into epistemology except "just enjoy"

he doesn't dive into logic what so ever

his 'work' on metaphysics also isn't unique and also not logically coherent

at most he only poked value theory

he is a writer more than he is an philospher

[surreal heart]

I see. I don't have a meaningful opinion on philosophy more broadly. why would the substantiation of Camus' arguments have any impact on the potential to engage with them through his fiction?

[gleaming cypress]

I see

[surreal heart]

to be clear, none of this has any effect on the recommendations, and this seems like a pretty pedantic critique of my wording for no actual benefit

[trail void]

i am merely saying he is not an philospher

i also prefer sartre over his works as they are more profound

[surreal heart]

regardless of whether one finds it sufficiently substantiated, his arguments certainly exist and his novels represent them

[twin ivy]

guys im looking for a book that contains a lot of formulas which i can use for my homeworks etc. any recommendations?(im year 9)

[molten gulch]

Schaum's mathematical handbook of tables and formulas

CRC Mathematical tables and formulas

[cedar trellis]

has any1 read the "humongous book of calculus problems" it looks pretty good

[visual delta]

What is a good book in multivariate statistics?

[trail void]

all calculus textbooks are humoungous books of calculus problems

i suggest u solve them and if u want more then go for it

[pallid steeple]

Dummit & Foote is my favourite book rn, I recommend it to anyone reading this message

[visual delta]

Maybe this? https://a.co/d/5XxMICo

[cedar trellis]

oh ya ts looks nice too ill check it out

[cedar trellis]

howd you get a transparent pfp

[visual delta]

It's not transparent?

[cedar trellis]

idk what to call it but it blends in sort of

maybe its just my theme

[velvet flax]

you must be a psychopath to enjoy smth that dry

read lang /hj

[pallid steeple]

wait why is it dry?

[foggy wolf]

are there any good books for brownian motion and borel σ-alegbra?

[foggy wolf]

u can make a png and boom transparent

[visual delta]

?

[remote sparrow]

billingsley (he calls them sigma fields)

[velvet flax]

that was kinda a joke

i js dont like their writing style

i prefer lang, but its arguably drier

[foggy quest]

https://sites.math.duke.edu/~rtd/PTE/pte.html for an introduction. https://link.springer.com/book/10.1007/978-1-4612-0949-2 for detailed treatment

[stone nexus]

anyone got the link to book of integrals so i can buy it

[lean badge]

piracy is very bad but you can look at "open-source" "preserved" "tasteful"

[velvet flax]

the need for free books led to the "genesis" of the "library"

[lean badge]

i hope this isn't against the rules!

[velvet flax]

yes i stole ur message

[stone nexus]

oops!

rephrased that

alright so how do you want me to fix it

[untold flint]

Any combinatorics books?

[fair fiber]

I have many but im not quite sure how to count them

[untold flint]

Anything competition related?

[fair fiber]

I was making a joke but no i guess combi chapters in aopa

[untold flint]

Oh LMAOOO

I just understood it

Thx though

[vital bane]

So does my prof, it feels so weird to hear "sigma fields, fields, semi-fields" after I've gotten used to the terms "Sigma-algebra"

But I guess that's what happens when a probability theorist takes your measure theory course

[fair fiber]

Bro is a sigma male

[vital bane]

Sigma male algebra

[west comet]

Anyway I give up doing math textbooks

Im just gonna do my highschool math curriculum in khan academy

And do some basic calculus and well do a thomas or stewarts textbook

I feel like it is a waste of time doing highschool math on a textbook and that its just watery on textbooks compared to videos

[viscid flint]

what do u guys think about "geometry and imagination" by Hilbert?

[rough umbra]

How is Topos Theory by Johnstone?

[scenic sequoia]

Have you considered Basic Mathematics by Serg Lang ? It’s a beautiful text for high school maths

[gray oracle]

if you want something rigorous for calculus, apostol/spivak are great

[gray gazelle]

just watery on textbooks compared to videos
I feel like this is pretty valid. a textbook for highschool math would probably give one concept -> one worked through example, repeat until reaching the page of exercises for that unit, with collections of units making up a chapter. a video playlist would just be concept -> example, repeat until the end of the playlist. so videos are a little more direct in that sense. just that textbooks give you a little more connective tissue for context from how the chapters are grouped

really though, the math cirriculum on khan academy is basically just that guy's textbook read aloud

[molten gulch]

<@&268886789983436800>

[royal escarp]

I assume that was for a now deleted scam attack. If there was different problem needing more specific moderator attention, please elaborate.

[worn prism]

You are a high schooler @strange sentinel

[molten gulch]

It was for a scam link

[frank lily]

Opinions on the aops books

[trail hemlock]

are good

[normal crystal]

bb sighting😯

[hot gull]

Are there any good books that do like...all of introductory physics but replacing standard vector algebra with exterior algebra?

Cross products actually make my fucking brain hurt

Errr...wait this isn't PhysCord...

Point stands, though, I'd really like a book that applies exterior algebra to more than just differential forms.

[cursive rivet]

what do you mean applies them to more than just differential forms? differential forms are the central object of exterior algebra/calculus

[restive rune]

🤔

[daring wolf]

just get some books on geometric algebra applied in physics, i think these are what you're finding out lol

[formal solstice]

is anyone familiar with this book geometry a comprehensive approach by pedoe? it looks interesting to me. I think there's also a corresponding intro book a geometric introduction to linear algebra.

[formal solstice]

I think that Apostol book starts with integral calculus first. I want to work through it eventually. integral calculus seems to make more intuitive sense to me than starting with limits and then derivatives, but I don't know. I still need to work through Calculus myself.

[gray oracle]

i think it's an interesting take

but the regular order exists just so you understand the fundamental theorem of calculus without getting confused, integrals are ofc pedagogically harder

[formal solstice]

is the fundamental theorem required for understanding integrals, or is the fundamental theorem just a way to connect derivatives and integrals together? again, I still need to work through Calculus myself. it looks like ch1 and ch2 of Apostol is on integrals, and then he jumps to continous functions in ch3 where he defines limits. I wonder how Apostol does it.

ch5 is the relation between integration and differentiation

[mortal ore]

FTC is required for evaluating integrals at least in the ways that you learned about in calculus

[hot gull]

Well yes but you can also do a bunch of standard vector analysis with it. I'm not looking to avoid differential forms so much as I'm looking for more ways to incorporate them into things.

[hot gull]

I have a number of these but they tend to become rather focused on relativistic stuff, which is fine and all, but I'd like an easier time with knowing how to think of, say, magnetostatics, in terms of the exterior algebra as well.

[true topaz]

Can anyone suggest me a good book for pre cal

[formal solstice]

thanks. yeah, it seems the full picture of evaluating integrals isn't given until ch5. ch1 and ch2 seem to introduce the idea via a step function approach or something. anyway, kind of interesting.

[long cloak]

Is Thomas' Calculus a good book?

[lament scaffold]

[steep prism]

hi has anyone read milnes algebraic number theory book here ?

i am going to be doing algebraic number theory in winters is it good to look at ? also what r some books to look at after this one

[sudden kindle]

I havnt read that book but it seems like many people like it

Whats your background by the way @steep prism

There are many books on algebraic number theory at varying levels of "sophistication", some friendlier to the beginner than others

[steep prism]

i am undergrad i have read doomit foote / took course on commutative algebra at school basically most of it is what undergrad would have

i am p new to number theory even tho i read apostols book on analytic nt but thats it

[sudden kindle]

You don't need a background in number theory to start learning alg num theory

Try Milne

[steep prism]

thanks !

[torpid wave]

Finding a book to learn number theory from the basics

[molten gulch]

ireland and rosen

[runic heron]

Which book i should take for calculus,there r many options such as stewart,spivak ,apostal or even some of the aops'.ones!!

[molten gulch]

Spivak is much harder and more theoretical than the others AFAIK, it's somewhere between a calculus text and a real analysis text

[runic heron]

ahh so i need to choose spivak first ?

but atleast spivak wouldn't teach me as stewart would ! as stewart includes everything of claculus whether spivak includes calc 1 or calc 2 maybe ,but more deeply!? is that true that spivak is deep than stewart?

[molten gulch]

You don't need to, thomas and stewart are two very common ones used to teach elementary calculus, Spivak is far more theoretical and generally reserved for honours calculus sections

[runic heron]

so ,umm but have u ever tried spivak?

[molten gulch]

<@&268886789983436800> user requesting pirated materials

[molten gulch]

No I used thomas

[real marsh]

Hi please don't request pdfs or pirated copies of texts on here. Discord will nuke us

[runic heron]

wht happens here?

[real marsh]

you were asking for a pdf of a book

[runic heron]

who tries to give me?

[real marsh]

well we can't allow you to request pdfs

[molten gulch]

Lance, they then came in my DM's unsolicited to ask

[real marsh]

just block them and ignore them

[molten gulch]

done

[runic heron]

ok, nice! thanks!

[vast leaf]

Can I have a PDF please?
Not like a pirated textbook or anything
Just a virus

Thanks

[molten gulch]

😭

<@&268886789983436800> requesting pirated resources

[plain maple]

I didn't

[runic heron]

did u know wht r u doing? else its okay

[mighty tartan]

unless thats also pirated

lol

[molten gulch]

That's pirated

LOL

[mighty tartan]

oh

damn

dont do that then

[molten gulch]

Matroid just enabled piracy....

[plain maple]

Apparently if I don't start now Imma gonna be cooked

[mighty tartan]

i didnt know!

[runic heron]

wait github didn't gives pirated copies

[molten gulch]

People post whatever they want on github

[ember karma]

Do any of us for the most part I've just come to say "unless it's open access..." when there's doubt

[molten gulch]

Some of it is legal, some is not

[runic heron]

like ANYTHING?

[mighty tartan]

ok so yeah just to add the clarity @plain maple we cannot allow inquiring about piracy or sharing pirated content

[runic heron]

that thing also?

[zealous coyote]

Please do not request pirated resources, this is forbidden by discord ToS

[molten gulch]

Literally yes, until it gets taken down. Though 99% of people do use it for legitimately hosting their own code and stuff

[plain maple]

Oh I just asked for a pdf is a pdf pirated?

[runic heron]

is there evrything wht u can imagine?

[mighty tartan]

if the book is not publically available with the authors intent, any sharing of it as a pdf is piracy

[molten gulch]

Though a few days ago when Apple's new web store frontend was leaked, a bunch of people reposted the leaked (and therefore stolen) code to github and while some of it was taken down, it's propogated, so a lot of people now have stolen code downloaded

[molten gulch]

Publisher's intent* in most cases unless the author explicitly retains copyright

[mighty tartan]

right

[plain maple]

Didn't know that thanks for imforming me

[runic heron]

like Steward's publisher

he is a good man

[molten gulch]

Stewart used all the money from his book to build a luxurious mansion, while never even trying to use his influence to reduce the amount that the publisher charged for his book or that the book was getting so many new editions constantly

SO no

Stewart was not a good person

[copper schooner]

Hey 👋🏻

[runic heron]

"Report to stewart*

[real marsh]

it can be rather annoying, e.g. often I have to scroll for a bit to find an official link to a textbook to send to ppl because the first N google results are pirated copies

[molten gulch]

that's why I usually type in "[book name] amazon" or similar

Then from there extract the publisher info and the authors' personal webpage

[violet shuttle]

link the google search query

[pulsar veldt]

Source?

[molten gulch]

https://www.theguardian.com/science/alexs-adventures-in-numberland/2015/oct/05/maths-palace-built-by-calculus-rock-star-on-sale-for-14m

[worn prism]

How is asking someone for a pdf considered pirating?

It’s like lending your friend a book

Well, a little more than lending since they are getting a permanent duplicate copy, but I think the analogy works

[oblique hatch]

It’s sharing pirated material (outside of some open access edge cases, where it’s best to link the official open access source), which is also against tos

[molten gulch]

So even that is technically not allowed, because while with physical copies the right to distribute your own copy does transfer, with PDF and other digital means, the publisher retains the right to distribute, though this does exist in the copyright statement for paper copies too, publishers are much much stricter about this with PDF copies as downloads and usage can far more easily be tracked

[gray oracle]

you could also try apostol if you want something similar

similar rigor but it's a bit more friendly than spivak

[molten gulch]

Disappointingly

<@&268886789983436800> user is explicitly naming a piracy website

[zealous coyote]

I'm surprised that we are still doing this this evening

Reminder to all: please do not share piracy websites, please do not distribute PDFs here, and please generally speaking do not request pirated materials. We will get shut down by discord HQ for this kind of stuff!

[gray oracle]

oh shoots mb

[zealous coyote]

Thank you for being understanding

[gray oracle]

yeah i won't do it again i didn't know mentioning it wasn't allowed either

[zealous coyote]

It's better safe than sorry with discord I'd say. I mean in the first place if you joke about being 5 years old, discord will shut down your account. So what happens if you joke about piracy, you know?

(This is not made-up btw I have seen this happen)

[gray oracle]

yeah discord moderation sucks 😭

[fluid violet]

I mean you will allegedly be arrested if you punch a baby and steal their candy, but that hasn't stopped me has it?

[desert topaz]

What kind of books talk about calculus in a story like way and fun to read and easy to understand

Ping me if u have an answer thank you 😁

[gray oracle]

calculus made easy by silvanus p. thompson

[fair fiber]

Meh cdfs are equivalent to pdf anyway

[cunning elk]

self masturbatory vanity project

[fluid violet]

I dont really see the issue with Stewart writing a book and making millions off of it. Like sure it would be nicer if he would've dedicated his wealth to some charity, but he's not obligated to do so. And also it's not like he had a monopoly on calculus textbooks.

[molten gulch]

<@&268886789983436800>

[molten gulch]

True, I'm a bit on the fence about the monopoly tbh, his book is by far the most used Calculus textbook at-least in the united states

[fluid violet]

The only issue I have is that he made his millions off of a CALCULUS textbook. If it were like homological algebra that would've been so much more based

[fluid violet]

Idk there are a lot of other calculus textbooks, and no one's stopping anyone from using other ones
It's sort of like claiming JKR had a monopoly on YA magic books because hers was by far the most popular

Didn't agree with my opinion smh

Or a scam

One of the two

[molten gulch]

It was a scam

[fluid violet]

I know

I was kiddin

[worn prism]

What’s the joke here

[mortal ore]

fortnite reference

[desert topaz]

I saw it on internet archive and it looks more of like a text book rather than fun

No way u said that

I saw that

Don’t say “Fortnite is greater than math again please” (he deleted the messag)

[gray oracle]

do you actually want to learn maths?

[desert topaz]

I don’t really have time so I just want a fun calculus book to read

[mortal ore]

"fun" and "calculus" dont really belong together

[gray oracle]

someone else earlier suggested "infinite powers: how calculus reveals the secrets of the universe" by steven strogatz

[desert topaz]

That’s just ur opinion

[gray oracle]

but that's more of the history of calculus than a book to actually learn it

[desert topaz]

Cool I’ll look into that

[desert topaz]

I mean it’s something

[gray oracle]

just read an actual calculus book then lol

it'll serve you better

[mortal ore]

my opinions are tailored to always be correct

[gray oracle]

and it will teach you the history as well

[desert topaz]

Calculus is beautiful once u “hear the music”, again what u say are not facts it’s fun for most people

[desert topaz]

Yeah that is true, I wish I had time to study math as a hobby, but life stops me

[mortal ore]

the point where u get to hear the music is later on

u should do analysis instead if u want to listen to the music instead of listen to someone explain what it was like to listen to the music

[gray oracle]

just do 30 mins a day

you'll get pretty far surprisingly

and also the time you've spent here could've been spent on learning calculus ironically

hypocrisy is such a funny thing

[mortal ore]

not quite what hypocrisy is

[desert topaz]

Dude I am not here to debate I just want a book, think whatever u want but calculus is fun

[mortal ore]

im giving u advice on what to study if u wanna listen to some good music

[desert topaz]

When did I do hypocrisy

[gray oracle]

maybe more ironic

[mortal ore]

analysis is what proves the results of calculus

so might as well do that instead right

abbott is a good introductory analysis textbook

axler and tao are two more good ones

im using tao for analysis 2 rn and its pretty good so i bet his analysis 1 book is good too

[fluid violet]

Just going off on a whim here but these people def know calculus better than you

[desert topaz]

Bruh why you guys pulling out random attacks on me

[mortal ore]

were just trying to put u on some good shit man

analysis is where its at

if u wanna know calculus

[fair fiber]

Nah calc is great

[gray oracle]

usually people go calculus -> analysis just like how you learn derivatives before integrals just for reference

[mortal ore]

only thing it was good for was naptime when i took it

[fair fiber]

True sigmas learn integrals before derivatives

[gray oracle]

i actually did that lol

[fair fiber]

You know who else did that

[remote knoll]

@mortal ore knock it off please, this is an on topic channel, and there's an expectation to be constructive. Bragging about how you are literally megamind isn't that.

[mortal ore]

my fault i just like hating on calculus

its not that its easy its that its boring

[desert topaz]

Thanks for responding to my message

[desert topaz]

Hey integral thanks for the infinite powers recommendation by the way, I read a sample and it’s pretty good

[remote knoll]

@desert topaz what's the goal of your studies?

[desert topaz]

Just to read about how calculus is formed basically, I remember learning how Like a circle was formed into rectangle using calculus and I just wanna get into that stuff

[remote knoll]

Eventually you're going to need to use textbooks. Informal math books will only carry you so far, and that distance is "not quite through calculus, actually."

[mortal ore]

the justification is likely going to come from an analysis textbook rather than a calculus one

[remote knoll]

If you're interested primarily in history, then I don't actually know much

[desert topaz]

Nah that’s alright

[desert topaz]

Bro I don’t wanna read a textbook 😭

[mortal ore]

i mean you dont have to read it as you would a normal book

[remote knoll]

I mean, you're going to have to in order to learn math tho

[mortal ore]

many people gloss over them and just sit on the topics in the text

[gilded shuttle]

so you want like a pop math book explaining these fun ideas in calculus?

[mortal ore]

thats actually one of the really nice parts about math textbooks is that you dont really need to read every single word

though there is value in doing so if the author isnt too chatty

[desert topaz]

I’m gonna take calculus anyway in winter, I just want to read a fun book and that history book integral suggested was fun

[desert topaz]

Sure why not, that also sounds cool

[gilded shuttle]

sounds like a steven strogatz book

[remote knoll]

3b1b videos might be to your liking.

[gray oracle]

that's because it is kekw

[remote knoll]

Just, don't expect to actually know how to do math after consuming them

[desert topaz]

Yeah that’s the one I’m considering to buy

[desert topaz]

Cool I’ll check it out

[gilded shuttle]

infinite powers?

[desert topaz]

Why

Oh nevermind

I read ur message wrong

Ok sounds good

[remote knoll]

Math isn't a spectator sport, you have to do problems and think deeply in order to learn it

[desert topaz]

I know i read the message wrong 😭

[remote knoll]

But 3b1b does stress this in his videos as well

[gilded shuttle]

they also don't really present any material

[mortal ore]

i mean they do

just not in the way that a course or textbook does

[desert topaz]

I think I saw his videos before

[gilded shuttle]

what does?

[mortal ore]

3b1b videos

[desert topaz]

The essence of calculus one

That video is why I’m looking for a book

[mortal ore]

ooh that could be a good series to watch before calculus

[mortal ore]

i still think a textbook is what ur looking for

you dont have to read the whole thing just read bits of it

[gilded shuttle]

i've watched his videos and later read books on the subject he was covering and there is essentially nothing in those videos but a few motivating ideas/examples

[desert topaz]

Let me specific y context, before bed just to learn something and think about stuff as I sleep

I don’t think textbook will help with that

[mortal ore]

yeah still

i do that with some of my textbooks

read em at night think about em as im falling asleep

[gray oracle]

i don't think it's weird to work on a textbook before going to bed tho

[desert topaz]

A textbook would probably bore me to sleep

[gray oracle]

but it's not everyone's forte

[gilded shuttle]

if you like math then not really

[mortal ore]

probably shouldnt do math then

[desert topaz]

I’m gonna read a textbook anyway during calc class in winter

[gilded shuttle]

have you ever read a math textbook?

[mortal ore]

well i suppose that calculus is often non optional

[desert topaz]

There is no reason for u to say that

[desert topaz]

Yes I did

[gray oracle]

doesn't hurt to get ahead tho

[desert topaz]

I did precalc

[mortal ore]

if you dont enjoy textbooks then studying math will be a bad experience

[gilded shuttle]

those books are boring i agree

[mortal ore]

though i mean the textbooks were likely boring bc of the content not the structure

(hence why i was saying that calculus was nap-worthy earlier)

[desert topaz]

Look I came here for a book please stop bringing up unnecessary points @mortal ore , I do not know what you are trying to prove

[gilded shuttle]

depends on the book

[mortal ore]

better to just study on ur own time than to sit through awful lectures that dont bother justifying things

at least that was my experience

[gilded shuttle]

if its something like a stewart book or something then yea its quite boring imo

[mortal ore]

im trying to get you to look into analysis

since itll be fun actually proving to urself why the calculus works

itll just be a better experience overall i suspect

[desert topaz]

No you’re not, you are tryna get me to read a textbook and claim that I don’t enjoy math or incapable of it

Specifically, you are rage baiting me

[gray oracle]

apostol is what i read and it's pretty bland so yeah

[mortal ore]

not saying youre incapable, just saying that if you dont enjoy textbooks then math is much less fun since such a big part of it is textbooks

but i dont think its that you dislike all textbooks

its probably just ur not interested in the topic theyre on quite yet

[desert topaz]

Textbooks sound professional and u need like deep focus to understand

[gray gazelle]

Hiido this person is obviously ragebaiting you

[desert topaz]

On the other hand, books just tell you a story

[mortal ore]

im just confused now

am i being an asshole and im not aware of it or

[gray gazelle]

Nope

They’re just not very good at ragebaiting you

[gilded shuttle]

i mean theres no reason to say calculus isn't fun to someone who thinks it is

but other than that no i dont think so

[desert topaz]

Why would I wanna rage bait hiido I just came here for a book

[mortal ore]

i just think that calculus is just objectively less fun than analysis

like if you look at all the things that makes math beautiful

though i suppose thats inherently subjective

[gray gazelle]

Yeah

[desert topaz]

I’m just gonna leave, this is wasting my time and ruining my mood

[gray gazelle]

Ok

[mortal ore]

pick up abbott's analysis textbook, youll learn a lot of calculus there

just graze through it

[gilded shuttle]

i mean there are whole communities of people who do integration bees and such

[mortal ore]

im part of those communities

[gray gazelle]

I’m looking at topological spaces and groupoids but I can’t find any calculus

[gilded shuttle]

no reason to shit on people who like a subject just because its not as advanced

[mortal ore]

its not even that its not as advanced

[desert topaz]

Thank you knief ur a wonderful person

[mortal ore]

its just that the experience of being lectured on calculus is so much worse than being lectured on analysis by their natures

like you get to truly understand the math in analysis

[gray gazelle]

I think preferring computational stuff over uh I guess proof-of-why-it-works is just entirely subjective

[mortal ore]

yeah i suppose so

[gilded shuttle]

i mean i wouldn't suggest to read an analysis text with no prior exposure to calculus or pure math

[slow roost]

you could read a pop-math kind of book like Donal O’Shea - The Poincaré Conjecture, In Search of the Shape of the Universe

[mortal ore]

hm actually thats a good point

[desert topaz]

Cool I’ll check it out

[mortal ore]

book of proof it is

[gilded shuttle]

lol

[desert topaz]

Thanks for the book recommend

[gray gazelle]

I personally don’t care much for computations(I probably should care at least a little more about them) and only really enjoy like proving things and understanding proofs

[gray oracle]

i agree as well, complex analysis is even more fun

[mortal ore]

taking complex next semester

looking forward to it

[gray oracle]

it's even better than real

[mortal ore]

ive heard

real is just like meh

[slow roost]

or Rudolf Rucker - Geometry, Relativity, and the Fourth Dimension

[mortal ore]

still better than calculus tho 😎

[gray gazelle]

I still need to read some Real Analysis by Rudin or someone else and some Linear Algebra textbooks soon

[desert topaz]

Geometry I’m a little weak in, but I’ll check it out 😅

[slow roost]

or Martin Gardner - Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi

[mortal ore]

thats ok, geometry is genuinely pretty tough to be super knowledgeable in

[gilded shuttle]

probably not the kind of geometry you're thinking of

[slow roost]

or Raymond Smullyan - What Is The Name of This Book?

[gray oracle]

i wonder what would happen if they let students jump to complex analysis and learn real analysis while taking the course, like how people do calc 1-2 in calculus bc in america

[mortal ore]

one of the few areas of math that genuinely takes forever to truly get into

not niche areas i should say

[desert topaz]

Isn’t that a puzzle book 😂

[slow roost]

yeah

anything Smullyan is really fun

[desert topaz]

Ahh I see

[slow roost]

or Douglas Hofstadter - Gödel, Escher, Bach

[desert topaz]

You’re a real book reader huh

How many books u read so far

[gray oracle]

@desert topaz since you like computation, you might like "secrets of mental math: the mathemagician's guide to lightning calculation and amazing math tricks" by arthur benjamin

[mortal ore]

godel escher bach is pretty famous

[desert topaz]

I will add that to my cart

[gray gazelle]

There’s a big bang theory joke that’s a reference to this book I now realize

[mortal ore]

spivak's calculus is also pretty good

[gray gazelle]

Was spivak the one with a book on calculus on manifolds too

[gray oracle]

i liked apostol for theory but spivak sometimes has better problems

[mortal ore]

yeah thats the next one

[gray oracle]

that's for calc 3 yeah

[mortal ore]

spivaks problems are generally pretty cool

[gray gazelle]

Hypothetically could one just skip the first one or does calculus on manifolds already assume calc knowledge

[slow roost]

I have no idea, haha. Quite a few, but there are way more books I've read some of and haven't finished.

[mortal ore]

if only calculus courses would actually use apostol or spivak

instead of cengage or smth

[desert topaz]

U almost tricked me there 😏

[mortal ore]

you know i had to do it

[gray oracle]

they do

for honors track

[mortal ore]

i did calculus in high school so i never got the chance to see those

wouldve been a better experience though

calculus was just super tedious when i was going through it

[gray oracle]

did you take bc?

[mortal ore]

yeah

[molten gulch]

Yeah

[mortal ore]

it was not good

[gray oracle]

yeah it's mid

@mortal ore what book did you use for vector calc/calc 3 then?

[mortal ore]

i dont even remember

some like highly standardized website or smth

[gray oracle]

😭

[mortal ore]

no wonder i dont remember calc 3

[gray oracle]

if you have time later, apostol vol. 2 is great

[mortal ore]

i mean im pretty close to doing diffgeo anyways

so ill just relearn it but better

i was gonna take it next semester actually but the workload of the course is too much for what im already doing

[gray gazelle]

I don’t really need to start with a calculus book then RA right? Starting with RA should be fine I assume? I’ve already read a couple UG math books before so lack of experience with more formal math won’t be an issue

[mortal ore]

wait i thought u were deep into math already

or are u just really algebra and topology pilled

anyways yeah u can just start with RA

if you already know topology most of it will be pretty clear anyways

[gray gazelle]

Yeah lmao…

I was homeschooled so I only learned what I wanted to read(= topology and algebra relevant to it)

[mortal ore]

i see

[radiant marlin]

calculus on manifolds assumes basis analysis and linear algebra, would not recommend skipping a first calculus course xd (its also a pretty terse book)

[gray gazelle]

Ic, thanks!

I think I’ll read some real analysis(probably Rudin), linear algebra(not sure which book for this one) then calc on manifolds

[radiant marlin]

gl gl, real analysis is a little bit boring (imo) but after that its really fun

[mortal ore]

ra 2 has been such a drag this semester

[radiant marlin]

rudin is also rather terse but seems like you'll be fine cuz you've done more in algebra and topology lol

[radiant marlin]

is that measure theory?

or like spivak

[mortal ore]

no its metric spaces, infinite series, and multivariable

[radiant marlin]

ah nice, where is the course at right now?

and do you mean its a lot of work, or not so fun in general

[mortal ore]

last time i was in class it was smth about defining cos and sin in terms of their relation to e^ix

and defining pi as twice the smallest positive root of cos after proving that one exists

its just like weirdly specific and i dont like it

its not a lot of work at all

[radiant marlin]

interesting

well

i'd say it gets more interesting, specifically when you get to multivariable-exclusive things (and not just generalizing results from RA1)

most of that would probably be building up towards stokes'

[mortal ore]

yeah i think this week we start multivar

im not very analysis pilled so its just kinda hard to care about

i think complex analysis might change my mind slightly tho

we will see

[radiant marlin]

yeah complex analysis is especially nice (and rewarding)

hopefully thats fun xd

[mortal ore]

ill keep an open mind at least

i think this course has just been theoretically boring compared to topology and just covers too much topics that are either weirdly specific or too related to diffeqs (i do not like diffeqs)

[rigid trail]

Measure theory is really cool

[gray gazelle]

Tbf almost everything is boring compared to topology…

[mortal ore]

except for algebra

at least as far as the math ive done so far

[gray gazelle]

Yeah algebra’s pretty fun too

[radiant marlin]

keep containing neighborhoods around each point ✌️

[rigid trail]

Wait that's peak

I'm stealing that one

[vivid mirage]

Is Book of Proof by Richard Hammack a good intro book for beginners?

[molten gulch]

Yes

[lost arch]

yes but I'd recommend to think if you really need a whole book on proofs to get started. I didn't read Hammack or Cummings nor did i go through any proof course, and i believe I'm nonetheless doing pretty well. Maybe proofs aren't as scary and you can try yourself by reading something more serious? Like you'll find your typical proof models in any analysis book in the first few chapters. And then you just have to fit in that model by refining your proofs which you normally do by looking at different kinds of proofs of this or that statement

(for example, I've learned about contrapositive, induction, contradiction and stuff in Analysis I by Amann-Escher in the first few pages)

[vivid mirage]

The issue is I am not just a beginner at proofs, I am a beginner (if even) at everything beyond what is taught in American public high school (basic calculus and linear algebra), so I'm wary of trying to learn proofs by learning analysis first lol

It might also be that I have a bad understanding of what I should be learning right now to advance in math

[lost arch]

I don't know if it might inspire you, but my specialty actually isnt related to math even remotely, you could say im a humanitarian. and when i first started learning analysis and linalg, it was quite hard to get through first but then when i got used to the language, it was all the same. the hardest part is to begin. and about what you should learn right now... well, it depends. typically people first learn real analysis and linear algebra along with some combinatorics and maybe some excerpts from abstract linalg. none of what i mentioned would hurt you, the key is to find, lets call it so, a beginner friendly course

(actually replace “humanitarian” with “liberal arts student”, it just so happens that in my country these people are called humanitarians for some reason)

[cedar trellis]

whats a good intro book to set theory

[lost arch]

if you're serious about it, then Jech

[lost arch]

anyways, reading Hammack won't hurt you either. it's just that you will anyway come across all these things during your first undergrad courses. but if you have some spare time, go ahead

[vivid mirage]

I do appreciate the anecdote - I'm in a similar situation as you when you started then, since I don't plan on pursuing math directly for my job either (currently split between engineering and medicine, which admittedly is a big variation). I have heard similar things about combinatorics being more beginner-friendly, but I'm unsure how to proceed.

My understanding is that not all math textbooks are appropriate for readers of certain levels

[lost arch]

that understanding is correct

but basic courses are called basic for a reason

to sum my personal view here, to minimize the time you're going to spend reading the book, i suggest that you skim through the first few chapters, make a good understanding of the general idea of a mathematical proof and its main types, then go back and study it in detail by reading carefully but not paying too much attention to similar exercises. its tedious and might break you. so to not get lost try to be fast with it and get started with actual math

just a suggestion @vivid mirage

[vivid mirage]

Thanks, I appreciate your comments. One clarifying note though - by actual math are you referring to exercises, and if so, how do I discern between what's worthwhile to do and what would be too tedious?

[lost arch]

bu actual math i mean algebra, analysis and geometry and their subbranches. and about the exercises — just do the first one after the paragraph and if you manage to do it correctly, then don't do those that require the same procedures all over again, look further and try to find those that require the use of another idea. that's what i do myself. otherwise you're just drowning in exercises and wasting your time. not mentioning that if a book has like 60 exercises after a paragraph you shouldnt tell yourself that all 60 should be done

[lost arch]

i meant Jech, Hrbacek, Introduction to Set Theory, just to clarify. not the 800 pages talmud

[vivid mirage]

Should I be doing actual math (e.g. learning analysis or linear algebra) concurrently with learning about proofs?

[lost arch]

i mean, they require that you know how to do proofs, and if you're willing to do a course on proofs, then I'd recommend to do it first so that its followed by others

[vivid mirage]

Ok, thank you very much for all your answers

[humble spire]

Any recs for hard trig books?

Not ones with repetitive problems but ones that actually make you think

[wide geyser]

aops precalculus has a chapter on trig

usually those books are good

[remote sparrow]

anyone doing a degree that isn't directly related to a profession or particular technical subject, like engineering, law, or medicine, is a liberal arts student.

[vast leaf]

Jech was what I started learning set theory from more or less

Kinda got thrown into the fire there a bit

I recommend Combinatorial Set Theory with a Gentle Introduction to Forcing a bit more

[remote sparrow]

#book-recommendations message

[steep prism]

hi i have one more question

i really wanna read book by jech set theory and logic one

what u guys think r prequisites for reading that book ?

[mighty tartan]

Do you mean "Set theory" by Jech or "introduction to set theory" by Jech and hrbacek? Very different calibers of book

[near jewel]

Usually on purchase websites, they give a sample of the table of the content and preface.

[steep prism]

well i meant later one

but i will def want to read set theory by jech later on (big jech)

i think i cant read big jech rn cuz i havent really read any set theory ever properly

[steep prism]

yup but still i would really want to ask from someone who have read them lol

[worn prism]

I am the biggest fortnite fan in this server and I did not get it

[mortal ore]

Stay on that grind then bud

[worn prism]

I haven’t seriously played it in years, but I mean I was. I stopped playing when I realized that I do not have the genes for it and that becoming a pro at the game is harder than solving a millenial problem

[fair fiber]

Sure bud

[fair fiber]

What about conservative arts

[remote sparrow]

[remote sparrow]

have you looked at the webtoon i recommended?

[worn prism]

With a millenial problem you compete against 10 people, with fortnite you compete against millions and millions

[fair fiber]

Which one

[fair fiber]

Ywah cuz millions arent even capable of competing for millenium problem

[remote sparrow]

https://www.webtoons.com/en/fantasy/the-spark-in-your-eyes/list?title_no=3210

[fair fiber]

Is it that good

[remote sparrow]

yep

[fair fiber]

I shall read it then

Even though i should be studying rn

[remote sparrow]

i was reading absolute regression

i've mostly been avoiding murim since a lot of titles look like slop

[fair fiber]

That one is good

[fair fiber]

Read Descended from divinity

Peak manhwa

[fair fiber]

Some murim are bad but some are good imo

[mighty tartan]

well given the fundamental nature of the contents, you dont really need any knowledge in particular topics, but rather just some mathematical maturity

[remote sparrow]

what's so good about it? i read 10 chapters and it feels like slop

i imagine someone with 0 context about murim universes wouldn't understand anything either

[fair fiber]

That is a) before they change the art b) isnt the universe different to a murim one ? I know main character was originally from murim but the story takes place in a new world

[remote sparrow]

yes, he reincarnated into a european medieval fantasy type world

the art is not the most important consideration

but readers without prior knowledge of murim tropes wouldn't exactly understand why roman is as ruthless as he is

did he have to have already reached the peak of martial arts in his past life? couldn't he have been a stronger than average warrior

[fair fiber]

Yes he had to but it wont become all apparent in 10 chapters

[normal crystal]

see, I like that the author mixed things up a bit
but the thing I like about murim is the murim

[remote sparrow]

i'm glad you got invested early but i'm not sure if i'm willing to stick things out based on this comment

[fair fiber]

I cant read the comment but id say if you dont like it in next few chaps drop it

Maybe reach at least 1-2 chaps with the new art idk u said it isnt most important which is true but i do think it makes it a lot nicer

[normal crystal]

there was a great unique webtoon that I had trouble finding again
I should try searching once more before asking here
because the details I remember are kinda spoilerish

[fair fiber]

Why not? Forget even murim but it is completely normal to be ruthless in medieval europe

Maybe even more ruthless back then

[vital bane]

completely normal to be ruthless in modern europe 🗣️

[vital bane]

Read this new web novel Re:Zero (it's peak)

[foggy quest]

Re Zero isn't that good. I was going to say it's too degenerate, but there is another isekai that I think is better that is more degenerate

[normal crystal]

if you had linked MTaylor's site in that comment
I would be 💀

[vital bane]

Lmfaooo

[vital bane]

Michael Taylor likes Re:Zero btw

He once said it's peak fiction

[rigid trail]

S1 is great

The others are aight

[foggy quest]

aintnoway he would say that

[normal crystal]

MTaylor's "I was reborn in another world, and now I post free textbooks for every math subject"

[vital bane]

I used to think Re:Zero is mediocre

[normal crystal]

is there a canon reason he never loses the track suit

[rigid trail]

Gotta say that the whole rem situation pmo but that aside

[fair fiber]

Not s ruthless as jee advanced

[vital bane]

He does lose it

[fair fiber]

Tf is pmo

The pmo ik means something very different i see

[normal crystal]

does he
I watched the last season and he was still wearing it

[vital bane]

not permanently ofc

he wears a lot of different outfits

[fair fiber]

Its not mediocre it is good but not peak

[vital bane]

I also once though it was good but not peak

[fair fiber]

Peak for me is in top 10 animes i watched

[vital bane]

anyway it's not time to be talking about novels, it's time to be locking in

[fair fiber]

Re zero is top 15-20

[vital bane]

I don't even count it as an anime 🗿

[normal crystal]

if I get Isekai'ed
the first thing I'm telling my confidante is that I'm not wearing the same outfit every day just to build my character

[vital bane]

for my exams

[fair fiber]

Bro if i get isekaid im never studying math again and enjoying my life

[normal crystal]

why are you studying math if you feel that way

[fair fiber]

Idk lil bro

[vital bane]

He already paid the fees

🥀

[fair fiber]

Fr

(0 dollars)

[robust quiver]

I read like 100 chapter and I agree with you, I dropped it because mc is too ruthless and somehow everyone vows a personality cult to him for reasons that seem too shallow and it was boring

[fair fiber]

Bro the fact he is ruthless ks the best part

[robust quiver]

well I didn’t like it, there are already too many bad chinese manhuas like this (I don’t know if this one is also chinese but anyway)

[fair fiber]

Give me one that is like this

[robust quiver]

literally the average xianxia slop has a way too ruthless/arrogant mc

can’t think of names now because I dropped them all (and I’m going to sleep)

[rigid trail]

:(

[fair fiber]

I read a bit of reverend insanity that is based🔥

[fair fiber]

Ay you are the guy in the programming server

[robust quiver]

anyway it depends on taste, I agree that it was better than those average chinese manhuas, but it wasn’t my thing

[rigid trail]

Maybe

[robust quiver]

I still haven’t but the fact that it’s been discontinued is discouraging me a bit

[fair fiber]

Isnt it finished?

[robust quiver]

not that I know of

[fair fiber]

I see damn

[robust quiver]

apparently the author was saying things that didn’t align with the ccp so the party told him to stop

[fair fiber]

Man fuck the ccp

[robust quiver]

this was like 5 years ago and then at some point there were some news that it would restart soon but it hasn’t

(I’m in china currently so I need to be careful of how I phrase things… 💀)

[fair fiber]

Oh shi

U study in china ?

[robust quiver]

I’m visiting a professor for three months, one more to go

[fair fiber]

That seems sick

[robust quiver]

it is

[fair fiber]

Ill be in korea for a year next year hopefully ill visit china at least once

Kidnap the author of reverend insanity and make him finish the book

[robust quiver]

but I’m lowkey slightly worried that the ccp is spying on my wechat messages (which it probably is) and I need to be careful of what I say (but on discord with a vpn like now it should be fine)

[robust quiver]

cool

[fair fiber]

They atp probably got ai on the job

[robust quiver]

yep

[normal crystal]

i still can't find it
this is a reach but...
it's a webtoon, last read maybe 2+ years ago
atypical above average painterly art
title think was one or two words
red haired girl raised by an adoptive family that raises horses?
she's a royal or something and red hair has some kind of significance
the family gets attacked, the girl is on the run with a sibling and a second lead
there is a gender swap
mostly sword fighting but there is magic
idk

[rigid trail]

Gender swap, sword fighting, magic

Any idea how little that narrows it down 😭

[robust quiver]

deepseek suggests it might be “the spark in your eyes”

[fair fiber]

What is a gender swap

[robust quiver]

when people swap gender (biological sex actually, usually)

man <-> woman

due to magic or some other thing

[fair fiber]

Why is this in webtoons

[rigid trail]

In anime it's usually an accidental/involuntary swap that's a gag

[robust quiver]

why not

some people like it

it can be funny (or cute)

[fair fiber]

I guess people indeed have very different tastes

[robust quiver]

lol

[normal crystal]

a little?
the actual webtoon was pretty unique but I agree the description is a fail

[normal crystal]

that's not the case in this webtoon
the swap is mostly the reader's perception

[rigid trail]

Readers perception?

Wdym

[normal crystal]

just what I said
I'm hazy in remembering
I think technically there night have been two chars w swaps
but one seems like in world there was no swap but it appears as a swap to the reader after story development

[normal crystal]

nope

[wicked fractal]

[rugged field]

Book recommendations for PDEs??

[foggy quest]

The 3 volumes by M. Taylor are good if you know differential geometry. The books by Folland and Evans are good too.

[normal crystal]

I found it
unfortunately it looks like permanent hiatus, bummer
The Star by TUTU, manhua
I actually remembered it might have "star" in the name and searched a bunch of times but that had too many results
even searching directly for the "the star webtoon" shows other things

[rugged field]

Ty
I'll give a look at them

[dapper root]

Lmfao. Literal gender swap where two people bump into each other and instantly both become trans.

[grim ore]

I just emailed a prof whose name started with ch and ended with key, and scared me thinking you were them

[dapper root]

Lmfao

[hasty pine]

Hi everyone, can anyone recommend books on mathematical analysis for beginners?

[molten gulch]

Amann and escher, zorich, abbott, rudin, and pugh are common choices

[hasty pine]

thanks

[vague stone]

Book recommendations for learning entirety of Algebra 1?

[slow roost]

Pearson or McGraw Hill, Algebra 1 Common Core edition are standard choicss

or Art of Problem Solving - Introduction to Algebra

[slow roost]

for many students, such books are used for a first course in LA

[wet sentinel]

whats a first course in this context? computational like a course following strang or something like that?

[slow roost]

probably

[wet sentinel]

if yes then the real question is why take a whole course like this

[slow roost]

fair question

I think the reality is there are quite a few math majors who aren't like, right away diving into heavy courses and taking grad courses in their 3rd and 4th years as undergrads

[wet sentinel]

like if you are a (pure) math major then you should directly start with something like FIS or something like that imo

[slow roost]

and lots of them benefit from a computational first course before they've gotten into proofs yet

[wet sentinel]

this is a fair point but i think some time can be given to computations in the rigorous course

[slow roost]

and then they probably won't do the linear algebra stuff of abstract algebra when they take their abstract algebra sequence as undergrads

they might when they do it again as grads

[wet sentinel]

tho surely not the same time dedicated in a course solely for computations

[wet sentinel]

I see

yea both are reasonable approaches in one way or another

some prefer one over the other tho

[slow roost]

also, there are probably a lot of physics and engineering makes who take a computational LA course as a requirement, and then decide they'd like a more theoretical course

[wet sentinel]

yea well thats why i specifically talked about (pure) math majors

[slow roost]

and CS

word

[wet sentinel]

because for the other majors the computational side is too important to them

[slow roost]

I'm with you though, if you're the type of new math major who's already pretty into proofs, just go straight for that

[wet sentinel]

exactly. Like the sooner you get into proof based math the better as a math major

because well almost all of the major is like that lol

but thats just my opinion. Others may have a completely different opinion on the matter

[dawn crater]

Uh guys I am in 11th grade, and will be starting calculus, so I bought this book called calculus in one variable by IA maron

[celest stump]

Hi yall. Im looking for a linear algebra book recommendation.
The book should have the following qualities:
rigorous, proof based, goes into detail, well motivated exercises

Context:
Im currently studying (and enjoying) ring theory (Allufi) and analysis 2 (Tao) but I sometimes cant understand the linear algebra examples and I feel that the subject is too important to learn it from Terrences "summary". I also skipped linear algbra and dove straight into analysis and abstract algebra.

[remote sparrow]

but he's not interesting. why not read overlord, the saga of tanya the evil, or a practical guide to evil over descended from divinity.

[remote sparrow]

having read the whole thing, it's definitely not that

[remote sparrow]

for the record, i enjoy villain protagonists, but they need to be more interesting than "i'm op and i run everyone over"

[wet sentinel]

I suggest that you take a look at FIS and linear algebra by werner greub

tho what do you mean by goes into the details?

as in goes into the details in the proofs or something else?

[fair fiber]

I havent heard of last one, i thought overlord was already

[fair fiber]

Most op protagonists are very unruthless tbh at least from what ive read

[remote sparrow]

last is a webnovel that recently got published as a book

[remote sparrow]

i was talking specifically about villain protagonists, not op ones in general

[fair fiber]

Wdym villain protagonist ? I still dont see how he is ruthless or a villain

[remote sparrow]

there's also a webtoon protagonist

[celest stump]

I mean that it doesnt shy away from stuff like field axioms or set theory

[fair fiber]

Are you going through module theory ?

[celest stump]

Since the field is seen as an introduction to proof based math the authors could hide information like equivalence classes etc

[celest stump]

Not yet but I can go through it before reading linear algebra

[fair fiber]

Some may recommend other way around ig but i think module theory is neat supplement to lin alg

[wet sentinel]

ohhh, FIS gives the definition of a field but greub doesnt.

[wet sentinel]

but i think i see what you mean from this

i think that both FIS and greub are suitable for you

you can check them and choose one or something like that

(maybe choose none if you dont like both)

[celest stump]

I see. Thanks for the recommendation

[west fjord]

Greetings

[wet sentinel]

#book-recommendations message

[wet sentinel]

also here is a list of LA books

there are some descriptions for each book too so you can get an idea on several LA books

[trail hemlock]

the world has ended.

“deepseek suggests”

[remote sparrow]

you don't have to be a comically evil person to be a villain protagonist

https://www.rxddit.com/r/manhwa/s/BazFEYqFhz

[fair fiber]

But what is a villain protagonist ?

[remote sparrow]

a character that drives the plot who has "evil" goals or traits. good examples are walter white, tony soprano, michael corleone, or light yagami

[fair fiber]

Walter white and light yagami when they meet walter black and dark yagami

[remote sparrow]

wouldn't the opposite of light be dark?

[dawn crater]

Does anyone know about

Joseph edward calculus book

[restive falcon]

Does anyone have any good resources for incidence geometry?

[sudden kindle]

Sheffer's book

[restive falcon]

thx

[true sail]

Hello, is it ok to share CC BY-SA books?

[molten gulch]

share the website to the book and not the pdf itself

[tepid phoenix]

I recommend in search of schrodinger's cat if you are learning quantum mechanics first time

[normal crystal]

https://cs3110.github.io/textbook/cover.html

[vital bane]

not for learning the subject quantum mechanics but for getting a general overview, yea this is a good popsci book

I remember reading it in 8th grade and becoming obsessed with QM ever since

[runic heron]

Richard feynman version 2.0

[robust egret]

griffits intro to quantum mechanics

you WILL learn quantum mechanics from this book, but u need maths

[daring wolf]

<@&268886789983436800>

[fair fiber]

Bro is so obsessed with qm that he would rather watch re zero then study qm

[tepid phoenix]

Same situation rn i am in 8 th grade to

[tepid phoenix]

[vital bane]

I haven't watched Re:Zero in more than a year lmao

[pallid steeple]

I'm currently on a medical leave of absence and trying to get ready to return to an honours math program– would finishing all the exercises in Linear Algebra Done Right be sufficient for something like that? (I feel like the exercises aren't difficult enough)

[gray gazelle]

It’s def a start

[pallid steeple]

Thank you! Do you have any recs for harder problems?

[gray gazelle]

you can move to harder books later

[pallid steeple]

Like Friedberg Insel Spence?

[gray gazelle]

Peeps recommend FIS book here

[gray gazelle]

Yeah

[pallid steeple]

I see, thank you 🙏 I think I got to like section 2.6 or something when I was still in school

[gray gazelle]

Oh what

ladr?

[pallid steeple]

Friedberg Insel Spence!

[gray gazelle]

Ohh I see

[pallid steeple]

Or was it chapter 2.6? I totally forget

something about ODEs

[gray gazelle]

Well one thing u can do is heave that as a reference with linear algebra done right

[pallid steeple]

Epic 😎

[gray gazelle]

Also #linear-algebra

Always open for u

[pallid steeple]

and that one will actually include determinants, I guess

Thank you so much!!!

[pallid steeple]

Real image of you

[gray gazelle]

Oh yes

It does

LADR don’t have it

(Intentionally)

[pallid steeple]

bro has beef with determinants...

[umbral field]

the latest ed does but not until the very end

[timber ravine]

Does anyone have a review for Conjugacy Classes in Semisimple Algebraic Groups by Humphreys?

[molten gulch]

FIS problems are comparable in difficulty to Axler

so

[slow yoke]

guys I would need you to help me about understanding maths concepts

I can't keep them in my mind

[pallid steeple]

RIP

[slow yoke]

I always mechanize

[pallid steeple]

Where specifically? :3

[molten gulch]

!help

[hybrid sparrow]

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

[slow yoke]

oh sorry :/

[slow yoke]

the problem is already solved, thanks tho 🙂

[remote sparrow]

linear algebra done right includes determinants

[remote sparrow]

linear algebra done right has always included determinants

[pallid steeple]

I should have checked the table of contents before saying this ☠️

[remote sparrow]

i think the fourth edition has the best treatment of all the editions though

[high fjord]

Hi, I've finished reading Hirsch & Smale and now I'm looking for more advanced ODE book, preferably with more solving methods. I've been thinking about Birkhoff & Rota, but it doesn't seem to have any material on Laplace transform. Does someone have any recommendations?

[remote sparrow]

more advanced and more solving methods (presumably you mean techniques for finding closed-form solutions) don't go hand in hand as far as i can tell

more advanced looks more like hirsch and smale than boyce and diprima

[high fjord]

So what do you recommend for finding solutions using stuff like Laplace or hypergeometric functions?

[slender cargo]

Axler's 4th edition has the "proper" way to do determinants, but I've been a bit confused on why some people are in a rush to get to that treatment. I feel like that stuff is way better absorbed after going through an abstract algebra sequence, when you're more comfortable with permutations. The exact same treatment on determinants is in Ch. 11 of Dummit Foote, for example. And I think it's in Ch. 11 for a good reason.

[normal wasp]

yo has anyone read this book I gotta know if it’s worth it to drop 64 dollars on ts

[daring wolf]

I wouldn’t waste money on books that I will never grab up again

there are valuable books to have but that one is def not one

[normal wasp]

What kinds of books would you use like many times

Oh I see

This book kinda is just like a transition between high school math and college math

[daring wolf]

usually books for postgrads or research level, etc

[normal wasp]

So for undergrad and below resources should I just stick to online or free books as much as possible

[daring wolf]

i mean there are p much decent amount books on undergrads too, but sometimes there are books that you wouldn’t grab that again (ENT for example)

[normal wasp]

what books would u recommend for like proof writing

[pallid steeple]

I’m halfway to vector spaces in D&F, so hyped!

[molten gulch]

Personally I'd recommend no book for proofwriting

[daring wolf]

proofwriting

just grab books on stuffs like analysis or proofbased linear algebra books which actually teaches how to write proofs

[molten gulch]

Hammack is okay, it's free, etc etc...but just go learn some algebra or analysis

[daring wolf]

you learn how by struggling with exercises

or understanding stuffs

[remote sparrow]

it's not worth dropping that kind of money for a paperback

look for used copies, an older edition, or have it printed somewhere

[wet sentinel]

thats why i dont really buy books

(of course thats a lie)

[hallow oriole]

does anyone happen to have a linked version of this?
https://terrytao.wordpress.com/wp-content/uploads/2011/02/matrix-book.pdf
searched it up but couldnt find it thanks x

[molten gulch]

wdym "linked"?

if you mean with chapter links

yes I have it

[hallow oriole]

does that have links for all the subchapters too

[molten gulch]

sadly nope

[hallow oriole]

alas

ty anyways

[molten gulch]

if it did you'd see little arrows in the pdf scroller

[hallow oriole]

is this diestel i would recognize this anywhere

[molten gulch]

yeah lmao

[trim spear]

I just looked through the pinned and didn't see anything about undergrad level complex analysis books? does anybody have any good recs

I'm already in undergrad real analysis and modern algebra so i would say im already generally comfortable with higher level mathematical stuff if that helps narrow it down

[hallow oriole]

you should check the pins again

[trim spear]

ahhhh i missed it thank you

[molten gulch]

Ahlfors, stein and shakarchi, freitag and busam, zakeri, conway, churchill (if you don't want many proofs), etc...

[marble solar]

Stein and Shakarchi is probably the best for getting to the heart of the matter

I'd say Ahlfors requires a lot of focus to read, and Conway is very precise/rigorous to the point where you might miss the big picture

[trim spear]

Is that the princeton lectures in analysis one?

[marble solar]

Volume 2

[trim spear]

yes yes thank you !!!!

[unique grove]

hi guys can anyone give me some recs for how to write proofs? and like what should i read/do after grinding amc to try and get to like higher olympiad stuff?

[pliant comet]

Logic and common sense.

Nice to meet you.

Propose arguments and see if they are logical or not.

[unique grove]

yeah ik but like lwk my proofs r so unorganized it's actually sad

like um

half the time for geo i got by on the amc by intuition.....

[cunning elk]

they’re not expecting you to fully justify every step you make at the amc level lmao

that’s what USAMO+ is for

[unique grove]

yeah fs but im not in us and our country's qualifying is proof based for the last couple of questions

[vital bane]

Have you ever come across Donald Sarason?

"Complex Function Theory"

[hot gull]

Any good books that deal with differential forms and such as ways of solving systems of differential equations?

Something in the spirit of Cartan's work except not in French https://en.wikipedia.org/wiki/Élie_Cartan#Differential_systems

[umbral field]

it is generally possible to edit a pdf to give it bookmarks. the editor i use for this is the free version of pdf x-change

[molten gulch]

I do this the painful way (use ghostscript or pdftk to dump the raw pdf metadata file, open it in vim/helix, add bookmarks by writing in new metadata fields, then reattaching the metadata to the pdf)

[bright epoch]

Does anyone know of a really good text on markov chain Monte Carlo methods

[round pelican]

Is Derek Goldrei’s “Propositional and Predicate Calculus A Model of Argument” a good book for learning Mathematical Logic?

[remote sparrow]

yeah, it's missing the incompleteness theorems tho

[round pelican]

Ahhhh ok. Is it a good book to start out with that will help me understand other mathematical logic books better?

[remote sparrow]

yeah it's good

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

you can pair it with this too

[round pelican]

Oh nice! Are they good to do together or is the friendly introduction to logic better to do after Goldrei’s book? Are the explanations and proofs good in Goldrei’s book?

[remote sparrow]

you can do them together

[round pelican]

Awesome

Thank you

[devout mica]

Hey, does anybody know a good book on graph theory? Or one that gives attention to binary relations, lattices?

[burnt raven]

One of the best books on graph theory, in my opinion, is a pretty recent one called... "Graph Theory" by Reinhard Diestel.

[white heath]

Any books on combinatorics and permutations

Highschool or like just build an interest in it types

[civic python]

He also has lectures on YouTube covering the material.

[restive falcon]

Does anyone have a good galois theory textbook?

i tried to start reading cox but it just felt a bit too slow

[burnt raven]

Where can I learn Goais theory?

sounds interesting

[undone anvil]

i will take mathematical methods in physics 2 without takin 1, is there any book that you suggest for study, i have 2 months

[bright epoch]

I know of a good intro text but knowing you it's probably below your pay grade

[full cairn]

If you want something a lot faster, then maybe Milne's online notes? Or as a middle-ground you could look at the Galois chapters of D&F or Aluffi for example

[gray gazelle]

say the text tho 👀

[bright epoch]

I think Milne is probably good?

[undone anvil]

and im studying for like 2 week for only calculus 2 but i guess im cooked in the midterm, i solved all the expamples on the pearson but my mathematical power wasnt enough for some questions, i wanna study it from zero but I really want to learn in depth. Do you know of any detailed books?

[bright epoch]

Ian Stewart's Galois Theory

[bright epoch]

Ian Stewart's Galois Theory

[restive falcon]

thanks for the options!

[spice seal]

is the statistics course by khan academy good for data science? or should i refer to some other resource?

[trim surge]

I don’t know what anyone could even learn there

it’s complete bullshit, imho

[spice seal]

exactly what i was thinking

[long cloak]

That's a nice book, thanks

[opal stream]

Hallo guys
Can I have a recommendation for algebraic geometry

Like something introductory and not too involved

[hollow peak]

very few easy intros exist

i think gathmann's notes are a pretty soft introduction for a novice

you will need some commutative algebra knowledge and a good handle on point set

[vital bane]

What about Fulton's Algebraic curves, I've heard that's good

[sudden kindle]

My opinion: its not that great

[tender river]

glad you like it

[cunning elk]

KA is woefully insufficient for actually learning anything to nontrivial depth

[remote sparrow]

https://link.springer.com/book/10.1007/978-3-319-72326-6

[gloomy nymph]

i rec maze runner, its a pretty good book

[pale geode]

Anybody got a compilation of results in geometric discrepancy theory with only barest explanation of what each result means?

So basically this table with slightly more meat on it

[kindred wind]

House of leaves

[slow roost]

fun book

[gray gazelle]

Anyone know any good self study tools for algebra 2, I didn’t take alg 1 8th grade because its not mandatory here in 8th grade but i would love to take a calculus course in high school

[scenic sequoia]

Khan academy

[gray gazelle]

Any good places for practice questions

[scenic sequoia]

That I don’t know. Khan academy has some problems but I don’t know of any books that are good for that material

[gray gazelle]

I’ll try khan academy for now

[scenic sequoia]

Yeah khan is good. Should give you all the algebra needed to then study Precalculus

[scenic sequoia]

Organic chemistry tutor is also good if you want to check out his stuff on YouTube

[gray gazelle]

Precalculus is just algebra 1 and 2 but with some new stuff like trig no?

My school won’t let me take the summer class, but luckily in New York all you need to go onto the next class is to pass the reagents

The curve is alright

[scenic sequoia]

Yeah basically. Trig and more emphasis on functions

[scenic sequoia]

Oh nice. I live in New York as well but I never went to hs haha

[gray gazelle]

The reagents is always 50 times easier then the class

[sage cedar]

Is calculus early transcends ts by Stewart good for getting into calc ?

[scenic sequoia]

Yes it’s regarded as the standard

[cunning elk]

any text more or less works at that level

be advised that if you're looking for an actually rigorous treatment of calculus you'll want to find another book

[sage cedar]

Like what so I can use it together

[scenic sequoia]

Apostol and Spivak calculus text are the most notable but they are much harder then Stewart

[vital bane]

crazy pfp 💀

[gray oracle]

can vouch for them both

apostol is especially nice for learning calc 1-3 in two volumes

[gray oracle]

aops intermediate algebra/precalculus would be a good read, but the most rigorous book for that use case would prob be "basic mathematics" by serge lang

you can also supplement it with paul's online math notes:
https://tutorial.math.lamar.edu/Classes/Alg/Alg.aspx

[lost arch]

is browders introduction to analysis hard to read? i mean, is it digestible given im planning on studying it alone?

[sage cedar]

Trying learn a lot of diff equations so I won’t mind at all

[gray gazelle]

Thanks

[shadow vector]

anyone got a rec for a **modern **diff geo book that doesnt require analysis?

[remote sparrow]

what does modern mean here

do you mean the book was published recently?

[shadow vector]

not just "differential geometry of curves and surfaces" like do camo or pressley etc

differential forms mainly

I guess its often called "coordinate free differential geometry"

[graceful moon]

I can send you some course notes which are kinda this

[remote sparrow]

i mean...some rigorous multivariable calculus books teach differential forms, so in that sense, there is no analysis prerequisite, because ur supposed to learn the relevant analysis as you go

[shadow vector]

I would definitely appreciate this

[graceful moon]

The intro to geometry course I took was differential forms focused and did basically a full DG course, but restricted to curves and surfaces to avoid having to think about any analytic or non trivial topological considerations

That seems like kinda what you’re after

[shadow vector]

Yeah I guess there are some books purely on differential forms as a replacement/ add on to vector calc. It's just always either the full package with analysis pre reqs or its like... purely "here is how forms work algebraically and how you integrate them, how you take the exterior derivative and thats it" with no further like connection to diff geo stuff.

[shadow vector]

Yeah that seems cool!

[remote sparrow]

https://matrixeditions.com/#vec

https://www.amazon.com/Multivariable-Mathematics-Algebra-Calculus-Manifolds/dp/047152638X

[shadow vector]

Oh cool, these look great too! Thanks you two!

[jolly dawn]

Sorry for the silly question but, should one study tensor analysis before diving into something like John Lee's Smooth manifolds book? What is tensor analysis anyway? How does it relate to differential geometry?

[sacred thicket]

iirc Lee introduces all the necessary tensor info in that book

[slow roost]

that's right

mainly you want to be very solid on linear algebra, multivariable calc, and topology for that book

topology somewhat less so than the other two

tensor analysis is probably a synonym for tensor calculus, which is basically being able to work with tensors, the various operations on them, etc

[jolly dawn]

Hmm, interesting🤔

Thank you for the advice!! 😃

[scenic sequoia]

Then yes you can check out the two books mentioned though I would say be prepared to struggle a bit particularly with spivak. If you muster through this though the payoff is quite handsome

[old elk]

[remote vortex]

Vaguely reminiscent of this:

[molten gulch]

I am reading this chapter right now for class lmao

[molten gulch]

what book is this?

[sage cedar]

Is there a physics version of this server I need good book recs

[scenic sequoia]

https://discord.gg/physics

[sage cedar]

thx

[sage cedar]

btw hows strouds engineering math and advanced

[warm sinew]

I've been asked what I want for Christmas and as a nerd my first thought was "oh how about some math books" so what are some math books every math nerd should own? (Beginner level included too, all I own is introductory discrete mathematics by V.K. Balakrishnan)

I guess more realistically, what are some math books you all really enjoyed is what I mean, stuff you think other people in math may like

Or just are useful resources?

Idk good book and/or necessary book

The Doctor Seuss book? 😭

[uncut basin]

Agreed

[warm sinew]

I guess it is a good and necessary book, I understand