#book-recommendations
1 messages · Page 208 of 1
i think snippets are the best thing about switching off of overleaf
no i fr tho
Being able to automate mass edits
theres decent autocomplete w overleaf but snippets are just so based
cant be in overleaf
like some ppl and i are doing a shared document
on overleaf
but i dont edit there
just use github and vscode
nah cause I use snippets to quickly create an environment
ayyy same
i literally just write up the tex on my own side and then copy paste into overleaf
like BIT to create an itemize env in 1s
i do \beg and it makes a \begin and \end and splits my curser into 2
so i only need like \begitemize to make a itemize env
like I said
I just use overleaf for latex. I've absolutely no talent with computers and stuff
i still havent figured out how to make my cursor split in vscode xd
what is cursor split
i only learning about using ctrl + arrow keys to jump around when Im writing text
u can write in twoplaces at once
basically when you type a it appears in different locations
WHAT
or more than 2
wtffff
its like
How
u know in the simpsons intro
this sounds op bro
bart is writing like 50 line son the board
with the power of vim
Okay, so what is VIM ?
in vim you do
50ison[Esc] and son appears 50 times
vim is a text editor
a really op one
Ohh okay... Let me see..
you can do that in vscode too metal
vim you can also record commands so if i want to add a \item on every few you do like
qai\item[Esc]q
<move to whatever line> @a
<move to whatever line> @a
oh wow its actually really easy idk why I never googled this
is it really worth it tho 
yes
i just dont see myself really needing to do programming in terminal very often
and using vim as a replacement for vscode
ah
i program only on the terminal these days 
i dont really need speed for anything
and on my phone
maybe if i start doing CP
i do vim on phone by sshing into a cloud
why would u use vim on ur phone
isnt the entire point of vim to avoid using mouse
the whole point of vim is to avoid the mouse
mouse!
or any clicking
yes i edited
ic
the only time ive needed to ssh w my phone is like... when i ran minecraft servers?
ahem

lots of FTP and stuff too on ym phone
oh yh i have bots running
i ssh to check their health as well and to make last minute edits when my error logs become 3.5MB big

true story btw
The fact that someone had to ask this question
forever concerns me
what the fuck

Okay, so I installed gVim and I think I wanna go back to Notepad++ lol
gvim sucks lmao
Huh... Wait... Damn why are there ~'s instead of -
i see someone having the fun first time experience in vim
there are a few ways to save a file
my fav is :x which stands for :wq which stands for write+quit
alternatively you can do zz
Huh ? What ? I'm goin to File, then Save as and the old damn way :P
cltr+s freezes vim

lmfao
What ?
i wouldnt last a day
Lol
(cltr+s freezes the terminal and vim is terminal based)
im so used to vim i now type :w on like google docs or smt
You may never escape vim
ctrl+s only freezes on linux I presume
hm maybe
yea on windows it just gives u ^S as expected
on windows bash it just does nothing
Ahh what... I blindly pressed something on keyboard and my whole text looks messed.
Why w?
quit + write
I know but why
just incase he's working on something important 
Ehh it shows that :qw isn't an editor command.
I feel like a crybaby who wants to go back to Notepad++
or :x
:cq
oh its wq look how little i know lMFAO

Ahh yeah :wq worked
:qw is quit then write
i had to use vim once when I had a google compute instance going and nano was too cumbersome
I guess this gets a lot handy after using for a long time.
imagine wanting your text editor to be a learning experience
quality
im already struggling with C and u add on vim 
C is a very easy language to learn. The features are very basic.
I agree w it being easy to leanr
writing anything serious in C is not easy
probably cause im a zoomer who likes to prototype fast
Well I'm assuming you know how computers work before you learn C of course
finally i knew wtf is all the heap stuff stack stuff pointery magic once i learnt assembly
then ig ye
yeah I guess
pointers were the big hurdle with C for me
also sys calls like signals and stuff
i only really understood pointers when i started reverse engineering and writing in assembly
HAHAHA I ONLY LEARNT SYSCALLS WHEN WRITING EXPLOITS
but thats cause I wasn't a linux person
lmfao
yeha I kinda wish my programming journey didnt start with writing minecraft server plugins
like hmmmmmm i need to read a file
so how does int 0x80 work ah i need to set rax to like 1 rbx to like something soemthing
Imagine if I got into CP when i was 12 😭
Windows syscalls are a mess.
i started with C i think im super disabled now
writing anything serious in C is not easy
Why C particularly?
C is like
Writing anything serious in any language is difficult
C does not have that much abstraction.
C is just more cumbersome than say, C++ or Go imo
yea
just memset some area to 777 and write machine code there and then call a string as a function
C++ is the best programming language
yes you can do it
I need to spend more time with C++
C++ is the best programming language
Tell that to Linus
same
C++ is the fucking worst ngl
i once defined a function on the fly on the stack and then started calling it lol
lua is just bad python
fun times
Honestly I need a new project that actually requires me to write in a low level language lmfao
write a high level language @obsidian valley
everything I want to do I can do in like Python or somethign so whats the point of using C
Try designing a compiler?
write like shellcoding exploits
in a low level language
The C++ team barely holding it together like "we can still do it and not fuck it over completely with 1000 features"
you really learn how to write machine code then
I've been doing VMs and stuff
observe as i write a high level language within a high level language:
I was thinking about learning to write Interpreters/Compilers
write a low level language with a high level language
def python():
return

Try writing a high level language in Scratch
you dont even need to call python()!
when every damn function gives a not implemented error
they say the best comments are when your code self-documents
Honestly,just use scratch
i claim the best functions are when you dont even need to call them
Is there a scratch to C interface to speed up your C code with scratch
Maybe
is scratching turing complete
interpreted
yeah it must be
well isn't it just running like javascript functions
lmao
I think actually scratch can simulate a turing machine
Haven't used scratch in forever
does it have arbitrary memory
since high school
i thought it had some hardcoded limit
wait high school
who's usin scratch in high school
wtf
German schools lmao
ah.
Theres a CS course at my university that uses it
...................................
Intro to CS for non CS students
Theres a CS course at my university that uses it
Lmao
.................................................................................................................................
¯_(ツ)_/¯
If C++ is so bad,why do game devs use it?
If C++ is so bad,why do game devs use it?
All the good game engines are written in it
Theres tons of people who hate C++ in the games community
and its compiled which you really want\
namely: John Blow
but yeah the engines are the main thing
having lots of control is really good
for writing engines
who is currently writing a whole PL for games
and if your engine is using C++
makes sense for the rest of the game to use it too
some engines use C# though
like unity
I don't think OOP is a good model for game engines tbh
and then you get random games like minecraft that were made by one guy in java and everyone has regretted it ever since
like unity
All the good game engines are written in it
Unity is good at what it does I think
Who said unity is a good game engine 
the worst part of unity is that every unity update is like
2 gb
minimum
you can fix 1 typo in dialogue
2 gb update download
I hope rust gets up and running more quickly with game engine stuff
Rust seems way too fucking hard to learn
for it to be viable in games industry
everyone I've talked to about Rust says its a bitch
If rust becomes the defacto game dev language,what happens to c++?
You just have to understand how rust works
nothing will ever replace c++
Theres plenty of boomer companies that will use ti for the next 150 years
its used everywhere
see: fortran
It's not that difficult tbh
Yeah sadly.
why sadly?
I think more people learn Java in school tbh
Java just seems like a overkill
Like for every "software engineering" course here its Java
why sadly?
Because C++ is a very, very difficult language that everyone seems to use
intro courses were python and c++, later courses were mostly pseudocode except for random topics courses
like obviously assembly in compiler design
Yeah similar to us but with C
oh and verilog for comp organization
I need to get around to learning a functional language
i dont think java was ever explicitly taught
you were allowed to submit stuff in java if you wanted
Java was taught to me
but you werent graded on being able to use it
Our software courses are all in Java I think
I ended up doing functional programming in java 
and you're graded on like code style and stuff in those afaik
its the reason I dropped the CS program at my school
lambda
Just do c++ metaprogramming :)
metaprogramming is wild
C++ metaprogramming is functional
I've only heard it talked about in like Category Theory for programmers
For metaprogramming I think lisp is best
https://www.youtube.com/watch?v=I8LbkfSSR58
this lecture series
he mentions it a bit
From friends who work with C++ in the industry it doesn't seem to be used whatsoever
so I'm curious who actually is using it lol
Game devs?
He looks like a renaissance painter
He does look super cool
Anyone who does like formal verification work would know haskell I think?
or distributed programming stuff
everyone I've talked to about Rust says its a bitch
i agree rust is a pita
like Galois (the company) puts a big emphasis on Haskell afaik
Yeah my prof does a lot of research in formal verification
yeah rust is annoying
you gotta like
dry off your copper
cant leave out metal cutlery in the rain
gotta watch air moisture
its a pain
Theres a few profs around my uni that do formal verification work
it's a cool field
Rust only screams at you when you make mistakes that could lead to insecure code
Lol
as well as golang
java should stick around solely for minecraft
I want to get into cyber-physical systems tbh
that is the only practical use of java
That is the only reason I know java
You may wanna reconsider your programming habits perhaps
Matlab should stop existing though
Julia basically completely replaced it for me
use wolfram lang
i know one person that uses Julia and he's a hyper nerd
whats matlab even used for in industry
so i think everyone that uses julia is a hypernerd
Julia is pretty popular in numerical mathematics
i've heard that its used for like
something
like theres something out there that its legitimately the best at
but i forget what it is
engineering stuff maybe?
mathematica
and its something stupidly specific
(la computations)
Probably PDEs
(cuz it uses the cache super effectively)
nah it was less general than that
r/programming: Computer Programming
Nice
but why
Why do people make emulators?
so that people like me can run code
ok yes people have hobbies
lmao
technical debt is keeping C++ alive
r/cpp: Discussions, articles and news about the C++ programming language or programming in C++.
apparently theres a project at msft to rewrite Windows in Rust tho
or parts of it
ari had some pretty specific problems with golang clearly lmao
golang is good to use
idk how often people are needing to reverse engineer go programs in industry lmao
i mean golang is nice language for backend
golang is tremendous for web servers and stuff yeah
ofc i wont write OS on golang since there is C
and imo rust is just wordy cpp
and cpp is just blur c
(i know the last line is wrong but tho)

and imo rust is just wordy cpp
Rust isn't object oriented..?
That's like the entire point of C++
I doesn't play well with it. Rust is rather comparable to functional programming languages with imperative features.
rust is just bad
stop talking about rust
ari had some pretty specific problems with golang clearly lmao
aka trauma
hi
Any exercise sheets for the formal limit of a sequence with solutions
?
Could check out most intro calc books
Any suggestions?
Uhh depends on what level you are
Maybe Taalmans? idk
Do you have a course textbook
Spivak if its like an advanced calc course
Spivak 4.1/4.2 doesn't have any?
I see
Taalmans has a ton of exercises usually
Okay
oh nvm its fucking huge
oh there it is
should be able to find stuff in there
Thank you jesse!
Does anybody have a canon on mathematical logic?
I’m familiar with the propositional/predicate logic and a good introduction on computability and decidability but I’m not entirely sure what direction I pursue with these facets
I'm looking for books in the following subjects that have a similar teaching style to AoPS but for more advanced math. (Lots of examples/exercises and a few challenge problems as well as good discussion problems).
Number Theory
Real Analysis
Probability
Intro Topology
Diff Geo
Combinatorics
Differential Geometry, Comprehensive introduction by Michael Spivak
Number Theory, go look at Apostol
Real Analysis, Pugh Real Mathematical Analysis
Topology, I think Munkres is the go to
alright thank you
I don't know any combo., I don't know any Probability
Whether he should look at Apostol depends on the type of NT
There's also Weil's Number Theory for Beginners
Apostol's first few chapters are elementary
yeah I'm not looking for only elementary I already have that. This number theory books looks like exactly what I want
I might not get through the whole thing
but the first like 10 chapters will be good
eh depends on how enthusiastic I get about it
I found a good probability book
What book
So I checked out that diff geo book and it looks much more advanced than what I was looking for
I'm mainly looking for an undergrad level diffgeo
but also it requires being comfortable with calculus of manifolds
again I'm not too familiar with that
Do Carmo is prob the book for curves and surfaces?
did someone say diffgeo 👀
tu's intro to manifolds book
i don't know what they are
I'm planning on doing analysis before diff geo
an undergrad could understand that ultra but i doubt you'd find it in any undergrad diffgeo class lol
complex differential geometry 
tu is an easy good one
not a lot of content covered but it's still good
tu's is just "introduction to manifolds"
(but he does have another differential geometry book that discusses connections and bundles and whatnot)
I feel like Lee/Tu aren't really in the same category as GP/Milnor
GP and Milnor are like
Yeah technicalities of manifolds are for nerds
Let's just stick shit in R^n immediately and do topology
Lee, and I think Tu, are more like
T h e m d e r i v a t i o n s t h o
tu does not go into as many of the nasty details as lee does
Question does any one have the free ebook of: applied mathematics 1 by hari arora Please Ping me
I haven't heard good things about this Hari arora book
So that number theory book looks very good but also very long. How would you recommend going through the book if I wanted to cover all the topics and not a ton of details
The Apostol
I'm thinking of doing the first 3 chapters to review my elementary number theory
but after that I don't know what order to do
Does anyone have recommendations for highschool math?
I'm in ontario and we have something called "thinking questions" which are supposed to be more difficult than the other questions on tests and stuff
was wondering if anyone knows a book that has harder questions for highschool level math topics
like generally towards the end of a review set in a textbook the questions get harder
is there a textbook that is basically always difficult
consists of mostly just difficult questions
for what subject @gray gazelle
i mean if just in general try aops vol 2 maybe
A classic problem solving textbook for students in grades 9-12 who are preparing for advanced high school contests like the AMC 12, AIME, and the Harvard-MIT Mathematics Tournament.
hello, any recommandation for an ode(+pde if possible) book for undergrad ? one which goes also into theory, just not real world applications ?
what is meant by "goes also into theory"
like, have you taken real analysis and want something along those lines?
or do you want more of a "balance"?
i've started real analysis, and yes !
more balance atm
i got one which is Ode by Hartman, and is a bit too hard
i mean it looks great but i need more balance, stuff like laplace transform is covered too quicly imo (maybe Hartman is worth it, in that case i can stick with it, but i don't think i got all the maths background required to study it well enough. if you think that's a good one, i can try a bit, because i'm not very experienced when it comes to chosing textbooks)
I liked "Introduction to Linear Analysis" by Kreider et al. for ODEs, the chapter on Laplace transforms was actually my favorite part from it. It also covers Fourier series and some PDEs near the end
It's a very complete book and good for math majors, so my recommendation is that
thank you ! i’ll give it a look @timber mesa
@valid moth thank you
np
Just libgen
thank you SO MUCH I DIDN'T KNOW ABOUT THAT
scihub vs libgen
@gray gazelle if you want a "hard" high school math book just get a college algebra book and that should work.
not sure if i can just recommend fiction book but still heres a great one: dante's divine comedy its a great book also a classic

Let's all spam fiction book recommendations
I finished 'The Housekeeper and the Professor' this week, and it features math, so it's not even that off topic. Recommended!
The professor as in the movie?
It's one title, so idk what movie you are talking about
johnny depp
No
I finished 'The Housekeeper and the Professor' this week, and it features math, so it's not even that off topic. Recommended!
@prisma snow i reread's pratchett's amazing maurice and his educated rodents
very strong book
highly recommend
Ah, i haven't read any pratchett yet!
i also would recommend pride and prejudice, learn how Raskolnikov, a destitute and desperate former student, wanders through the slums of St Petersburg and commits a random murder without remorse or regret. He imagines himself to be a great man, a Napoleon: acting for a higher purpose beyond conventional moral law. But as he embarks on a dangerous game of cat and mouse with a suspicious police investigator, Raskolnikov is pursued by the growing voice of his conscience and finds the noose of his own guilt tightening around his neck.
its a russian literature classics
some of the best of the best
Hi
i also would recommend pride and prejudice, learn how Raskolnikov, a destitute and desperate former student, wanders through the slums of St Petersburg and commits a random murder without remorse or regret. He imagines himself to be a great man, a Napoleon: acting for a higher purpose beyond conventional moral law. But as he embarks on a dangerous game of cat and mouse with a suspicious police investigator, Raskolnikov is pursued by the growing voice of his conscience and finds the noose of his own guilt tightening around his neck.
@gray gazelle is this supposed to be the synopsis of Pride and Prejudice? Lmao
that's crime and punishment no?
Pride and Prejudice > Crime and Punishment anyway
The facts don't care about your feelings
the fact is that you are dead now
@mods Vimes is threatening violence
i am performing justice
Sadly you're a terrible shot
sir this is a library
SIR YES SIR
I AM THE STORM THAT IS APPROACHIIIIIING
shhh
Pride and Prejudice > Crime and Punishment anyway
ahh srry looool
i got the title messed up
The Cossacks by Tolstoy is what I would recommend just so you can feel the second hand cringe of Olennin Andreich's sexual desperation.
Also because it's a good book but that's besides the point
crime and punishment
not brothers karamazov
Alyosha, my boy I see you're as naive as ever. Tell me, have you made love yet?
why not both?
Crime and punishment is a guy rolling on a couch for several weeks
Brothers karamazov is a masterpiece
oh
well then, guess I'll read Karamazov first once time permits
dad pretty much hoarded these sorts of books for his stash
@marble solar cringe
imagine implying that rolling on a couch for several weeks is not the epitome of the human condition
sounds more like the dog condition
That dog came in like a torpedo
Nyoom
tl;dr of crime punishment: edgy 14yo (except 20 or so) poor former college student has edgy philosophy and then goes insane after trying to implement it irl
Ok but no one here mentions anna karenina
I would like to read Tolstoi , but in Russian.
Crime and punishment is a guy rolling on a couch for several weeks
@marble solar ahh Dostoevsky is one of my favorites. Did you read his short stories though ? Those are also good. I liked Notes from the Underground a lot.
I've read brothers, crime and punishment, and notes
I'd also recommend The Idiot and Demons.
yeah. I just haven't had time to read as much lately
I have so many projects I want to get done
I can relate to that, for sure it's the same with me. But yeah Dostoevsky is just a great writer.
I agree, Brothers is one of my favorite novels
I've also got Solzhentsyin on my list to complete
And actually reading Nietzsche along with Dostoevsky gets things more interesting. They're trying to address the same problem mostly
i want to read lolita at some point
same
Lolita is interesting. The first and maybe only book I've read with an untrustworthy narrator
The catcher in the rye?
Never read it
i thought you are american
I am
no no, chmonkey
I am
I just never read it
There's a few of the "you read in 11th and 12th grade" books I never read
since I did community college instead in 11th and 12th
Never read the Great Gatsby
you didn't have to do 2 years of english?
oh
College English > HS English
College english was 100x better
If I had taken the course earlier I might've done an english minor
ngl
Was not a fan of catcher in the rye
maybe I should give it another chance
I read it back in grade 10 the first time I think
I didn't care too much for the great gatsby's plot line
I loved the language though
I read it for class in 9th, and disliked it, but when I picked it up again 2 years laters, I enjoyed and understood it much better
that's normally the case
catch-22 is my favorite novel from high school readings
I just didn't care for rich ppl plot lines I guess
that's grown on me
I even read tender is the night by fitzgerald
Same thing
Beautiful language, boring plot
Ppl like Joyce and Faulkner seemed to do a good job at plot
with beautiful language
I loved the language though
@marble solar English is dope yeah
does stewart cover multivariable calculus?
yes
stewart 🤮
yep.
Yes Stewart has a lot of exercises
which is the better book as an introduction to number theory, hardy or burton?
also can anyone recommend a good book on combinatorics
also can anyone recommend a good book on combinatorics
@gray gazelle Algebraic combinatorics by Stanley is very good
i'll check it out, thanks
Miklos Bona's A Walk Through Combinatorics is excellent for a first reading.
i have principles and techniques in combinatorics downloaded right now but its a bit too terse for my liking
Is Manga Guide to Calculus a good book?
I like Brualdi for Combinatorics but it's spendy
manga guide is not the best
it feels rather condensed ig
it's a novelty item idk if it's actually that educational
Spivak wrote it
are you talking about the regular spivak calculus?
No, michael spivak wrote the hitch hiker's guide to calculus
Why does everyone hate stewart?
Because it's not rigorous as a proper anal. textbook?
I find it to be decent for anyone who's not going for a math field. It gives just enough information for most Physicists, Chemists and Engineers when starting out with stuff.
What book should colleges use instead of Stewart?
So the problem with Stewart in particular is that it seems to be one of those books where it's like
Also, the book isn't that bad. Like no Physicists, Chemists and Engineers will take Rudin
They release a new edition every single time
Where they renumber some problems and fix a single typo
So they can kinda make students spend extra money
(It's super expensive)
Still have it but is in bad shape
Some bookstores have good deals. I remember buying my big red book for $180
That’s expensive as fuck...
Like great textbooks that have been used since ages ago for graduate study in math
Sell for 50 dollars all the time
$180 for three semesters is worth it
Nah lol
The textbook companies have alreadfd gotten to you
Textbook companies are evil lol
We are talking undergrad, Grad textbooks are much more expensive
I can buy Lang’s algebra that can serve as a reference book for like decades for like 60 bucks
So you can buy used copies and whatnot
The issue with Stewart is that it constantly gets reprinted for no reason, no material is new no developments have happened
While with Stewart you have to use the newest edition. Also Webassign
Calculus as a subject died years and years and years ago so nothing new happens
Then they charge ridiculous prices for it
If you’re used to buying textbooks for your other classes and stuff you might think this is sorta normal but this is because companies like Pearson have cornered huge parts of the market and have normalized this ridiculous practice
The reason math majors and math centric people dislike Stewart is because we’ve usually gotten past that level and seen how much textbooks should cost and how much you get for like 50-75 dollars
And realize Stewart for over 150 dollars is bananas
Well, that's because students are unaware in their undergrad that textbooks cost that high.
I usually just use whatever edition I find for dirt cheap and just run with it.
Just buy a tablet,and libgen
That's the correct strat except for webassign + idk how quickly the Stewart editions make it on libgen
You are not wrong there....
Looks at my 50-ish PDFs on Libgen'ed textbooks
@sage python @dapper root these publishing companies will regularly buy old copies of books off the internet, just to burn them or recycle them in order to inflate prices of used copies to near the price of a new one
So let's say you're within 15 buck difference between used & new, most ppl will just go for the new
if you want to puke look up stewart's mansion
Why is it puking? He didn't even want to publish his notes in a book
His students urged him to
wait what. How could that possibly give them more stonks than buying up copies, storing them, selling whatever they would have sold after burning the stored ones if they took that route, and then selling the stored ones after
I'm not entirely sure how the process works, but they do price gouge used books
Is the essence of it
that sounds accurate but I don't understand the burning
I think they just didn't want older copies roaming the world
if they keep them then they aren't roaming the world
I mean
They explicitly don’t want to ever sell the old copies
So storing them costs more money than just destroying them right?
oh I see
Also if they buy the few on the market that are cheaper and burn them the asking price on sites like ebay will go up
Yeah that's the point
so people wont put them up as cheap
If the old copies are hard to find and worth not thaaaat much less than the brand new one
“Eh whatever it’s worth it”
so you dont have to buy as much as it might seem
also can we talk about how the normal price for atiyah-macdonald is more than a dollar per page
on amazon
I’m telling you textbook companies are literally evil
soon smh!!!
Okay
I don't know if they're evil, they definitely partake in less than moral acts
That's evil
I guess it depends on your definition of evil
If your definition of evil doesn’t include textbook companies you have no moral compass QED
I'd probably put it somewhere between murder, rape, and otherwise violent acts against human beings
But textbook companies doing shady stuff for profit margins
I'd probably put as "That's definitely not a good thing to do, but nobody was really killed"
so i spent time learning programming because i thought it was really cool but then i got exposed to functional programming and some of the math-y theory behind it and realized that the math is cooler and now i want to specifically learn about that stuff (Category Theory, ("Homotopy") Type Theory, etc.) but im in high school so i lack a lot of prerequisites and dont know where to just start 😦
I'm not even sure how related CT and HoTT are, I just got exposed to these when learning about agda/type systems/programming language theory
but, i wanna learn the math
Thats literally me lol
My advice would be to stay away from programmer oriented category theory resources. They cut all corners including ones that cant be cut.
Start learning some pure math. Take a look at the curry-howard correspondence to realize theorem proving is the same as programming with dependent types. Learn some intro to proof, intro set theory. Start hammering away at various areas of pure math like abstract algebra, linear algebra, analysis, topology. It is mostly through examples from pure math that you can really appreciate the beauty of category theory.
You can go deeper into foundations of math, formal languages and formal systems, if you want to do type theory. Theres also quite a bit of category theory to find here.
I'd need to know more specifically what you are and arent familiar with, to give specific literature recommendations
Say, would you say you are familiar with first order logic, and proofs in it?
what books about analysis and optimization would aid visual learning? I do best when I can see what equations mean and I’m not doing the best in my lecture on the topic. hope I’m not interrupting
Rip battery so I might reply later
Say, would you say you are familiar with first order logic, and proofs in it?
@molten wave maybe somewhat familiar, but not comfortable. I have read through a little bit of Pierce's Types and Programming Languages (just a little. id say i only gained familiarity with lambda calculus/STLC and some of the notation in logic :P). The math I know is pretty much limited to what is taught in high school (so basically, pretty much the topics in the pre-uni category here).
So, yeah, i need to start from the basics
i tried looking for stuff but the thing is that on my own, i really dont know what path to take to get where i want. like there's tons of resources and books out there, but i dont know which ones i should be using to go from basics to some of the more interesting stuff :/
I understand
there are many things in math that you need to learn not because you will be using that exact knowledge, but because the experience of learning it will be useful in other, seemingly unrelated, but actually similar situations
so-called mathematical maturity
so I guess I would recommend Velleman's How To Prove It. The book should be a breeze for you, feel free to skip chapters if you feel like
after finishing that book you should be able to read any introductory text in pure mathematics
you may find an intro to logic and foundations book if you want a more meaningful introduction to formal languages and formal systems
(because type theories are formal systems, and obey to all the same conventions)
unfortunately I don't really have on in mind...
maybe mendelson's intro to mathematical logic
@inner charm as far as category theory is concerned, my favorite text is Mac Lane, but I would recommend that you go through that book as far as you're able to accompany definitions with meaningful examples from other fields of mathematics, mostly abstract algebra and higher geometry
so maybe in parallel with reading some text on intro abstract algebra and intro topology
Interesting thoughts and suggestions, mniip.
What book would you guys suggest me for going through basics geometry and high school geometry by myself?
Ill be using ochem tutor geometry playlist fot the theory
Is this a good book?
like the book would throw 5 vastly different examples at you and if you can't understand any then you can't really make sense of the definition
like the book would throw 5 vastly different examples at you and if you can't understand any then you can't really make sense of the definition
@molten wave wdym?
that's to @inner charm
Oh okay
TaPL is cool I guess, if a little ML oriented and aged
ah, i skipped the OCaml implementation parts :P
its intro also said that "mathematical maturity" is expected so i would probably have gained more from it if i had that
I would also recommend that you stick formal language theory/programming language theory somewhere inbetween velleman and any texts on logic or type theories
hopcroft: intro to automata theory, languages and computation
ok!
feel free to ask anything around here
mniip's personal guidance. Noice
ah i wish i'd asked here sooner instead of just lurking around in the server :P
I wish I had someone explain all of this to me when I was your age haha
took me a while to find my true passion
yes! i found this stuff so cool when i learned about it, i dont understand why it isn't as popular in CS; everyone i know wanting to do CS is just going after AI/ML or software engineering!
we can move to chill
If anyone has the soft copy of Engineering Mathematics by BS Grewal then please share it
Or recommend some books for Engineering Mathematics
Thank you
@worldly basalt libgen has
I didn't find BS Grewal on libgen
Is it Higher Engineering Mathematics or is that a different book? @worldly basalt
Yeah that one
Okay, thanks
If you can't find it, I'll download it and send it to you
Found it
Thank you
If anyone has the soft copy of Engineering Mathematics by BS Grewal then please share it
Or recommend some books for Engineering Mathematics
Thank you
@worldly basalt I lent this from college library. Then lost it.
Sincerely Pay the fine
You borrowed it. The library lent it to you.
Well, I already paid the money for the books
You deposit 3k to lend the books for a sem
dollars?

rupee
damn isnt that a lot
that's like $50?
It is. You could actually get that damn book for like 700-1500 INR at the local bookstores
42$ dollar
42$ dollar
@fast portal it's a lot to earn here relatively
What's a library? Is it a collection of functions we use in Python, right?
Our library has cell reception jammers so that we don't talk to anyone there
They don't let mobiles charge with their power sockets
The floor incharge have moral police to fuck around with you if you sit with a girl
This is what is known as the radical homosexual agenda. Boys cannot mingle with girls.

Interesting...
Moral polices are full of shit eveywhere tbh but this is getting off topic
Is there any pdf of aops calculus?
I saw pdf for AOPS precalc in libgen, though the print is bad
is this book a good geometry series
to use along khan academy
I was planning on using Khan Academy high school geometry
and then if I encounter a harder chapter where I need more exercise i'll use that book
what's the opinions?
Or should I use the textbook and use khan academy if I don't understand it
I'm planning on going over it really fast, just wanna see it all and have done it all a bit for myself
Can anyone recommend any books which are packed with "applied/worded" questions. Coming to math from computer science and what I love most about CS is how hands-on it is - you often get to build/architect a big project. Most math questions at uni are kind of lame: "evaluate this path integral", "solve this ODE", "diagonalize this matrix" with no actual context.
Not really sure what I'm looking for specifically, but I really want to apply some university level maths to some questions which aren't so artificial.
People on this server would know better than me if a book/set of books exist which can help me satisfy this interest
Maybe look at some courses from the engineering or physics department?
I don't really have any physics background
surely applied pure math exists right
lol
who tf would waste their time with pure then 
Ask hardy
So in reality, pure math is totally useless until it becomes applied math
is what you're telling me
Yes
dank
You're totally useless until you apply yourself
You don't have to convince me
idk
I'm still not sure what I'm looking for
but I find just solving equations/exam style questions super boring
was kinda hoping for some recreational math book with some more spicy/uni-level topics
I'm currently reading Networks - Second Edition, it's good because so much of graph theory is applied - and the examples + questions in the book reflect this
Like the whole last section is dedicated to case studies of really complicated problems being tackled using all the theory you've learnt so far in the book
which is about ~230 pages
You're totally useless until you apply yourself
@prisma snow bruh
What?
I understand what you're looking for Cursor, I just don't have any recommendations :/
Try art and craft of problem solving
So Luna is useless even when he applies himself
By paul zeitz
Libgen it
So Luna is useless even when he applies himself
@fast portal yes
But that's vacuously true because I never apply myself
Libgen,Scihub and Discord are my only good sources of knowledge lol
but u just did 
@still umbra Maybe take a look at
Category theory (applied) https://arxiv.org/pdf/1302.6946.pdf
Information theory https://www.amazon.com/Physics-Information-Technology-Cambridge-Sciences/dp/0521210224
Pensees from Blaise Pascal. A free audiobook on ytb?
Which route is better?
Munkres general topology -> Lee AT
Munkres general topology -> Munkres AT
i think lee is better for AT
how about \varnothing -> Hatcher
munkres AT is fine but lee does a lot more iirc
or you can just read lee for point set as well 
anyways what i typically see is just people doing like a short standalone document for pointset (like lecture notes or the first chapter of some random book) and then doing an AT book
for instance hatcher
because pointset really shouldn't take that long
just skip all of topology and learn purely off of google images
$\varnothing \emptyset$
88ddda:
There are just a few things in point set topology that you will use forever after
like what
compactness
connectedness
the continuous images of compact (resp. connected) sets are compact (resp. connected)
you will also need product, quotient, direct sum topology
i.e. how to construct topologies out of known ones
urysohn lemma is important
and tychonoff
and if you want to prove tychonoff the right way you need filters
or nets, but those are inferior
the continuous images of compact (resp. connected) sets are compact (resp. connected)
yeah this is like
THE result of intro topology
that you should care about
its not hard to prove or anything, its not a "big theorem"
its kinda just definition pushing
but its REALLY handy
in fact, i'd say this result is the secondary reason mathematicians care about continuity, just after the fact that many "real-world" phenomena can be modelled by continuous functions
Topology is such a cool subject
Every time I learn something new in it, I just wanna do topology
i agree
Did you know of the partial converse @quick hornet ? A map R^m->R^m that preserves compacts and connecteds must be cts! It is a challenge problem here.

yeah i think it was mentioned in undergrad RA
without proof
is there a non-tedious proof?
I can't find miller and freund's solution manual anywhere online, any way to do so?
any reccomendations for olympiad algebra ?
for instance hatcher
@valid moth I was said that Hatcher is unreadable because it's all about intuition and has very les rigor, so something like Tammo Tom Dieck was recommended.
IMO hatcher is superior because it doesn't worry itself with rigor
It imparts an understanding you can't get elsewhere
Plus it's not that hard to fill in details that Hatcher skips
Hmm maybe one should have something else as a supplement to fill in the rigor.
I think that's a good idea
Anyone suggest a good Lie groups/Lie algebras book? I have one by Hilgert but wanted to know if there are any better ones?
Stillwell is good for an intro
Mhm kk ill look into it
ye and Hall for more advanced stuff
Stillwell is really elementary and gives good motivation
same kinda
There was 16 students in the class
8 heavy hitting grad students including myself
and 8 unprepared undergrads
stillwell is fine for undergrads imo
you can still read it lol
I mean like, didn't know how to prove things. Out of school for 4 years, etc.
i read stillwell and some Hall
Mhmm
yes
Hall's is Lie Groups, Lie Algebras and Representations
