book-recommendations

[mortal ore]

Tho honestly his proof writing is kinda bad

[rigid trail]

yeah i didnt like it 😭 but his problems are good i know

[mortal ore]

If he ever hits u with a "clearly" feel free to ask about the reasoning here

[rigid trail]

What topics are most worth drilling

groups and rings i guess

i honestly dont know what else is relevant for me at the moment

[wicked fractal]

Not a big fan of D&F

[rigid trail]

hows chapter 0

D&F i probably would use only for exercises and as a reference

[wicked fractal]

For exercises it's good I guess

reference maybe not so much

[rigid trail]

okay

Is ch0 any good as a reference / for learning/refreshing

[wicked fractal]

Just read Aluffi

[rigid trail]

aluffi as in ch0 right

okay thx 👍

[wicked fractal]

if you are hardcore you can try lang

[rigid trail]

as a rule of thumb i prefer having my eyes open while i read

i just realized that i had removed #groups-rings-fields from my channel list out of spite 💀

[gray gazelle]

Any gaokao student here?

If yes recommend some books

[remote sparrow]

perko

shahriari, bhattacharya et al, wadsworth, herstein

[gray gazelle]

thx but I'm not the student of that..its just for extra stuff..I'm not from China

[jolly tendon]

Anyone have recommendations for linear algebra? beside book by rorres and anton?

[half vigil]

linear algebra done right by sheldon axler

https://linear.axler.net/ it's open access

[jolly tendon]

ohh this book is on my course next semester

rorres anton is this semester along spivak calculus

[vital chasm]

Linear algebra done wrong by Sergei Treil

[jolly tendon]

perfect, thank you!

[frozen perch]

Axler is fine but his treatment of the determinant leaves much to be desired. "Done Wrong" is ironically a better book

[jolly tendon]

really?

axler hater

[frozen perch]

Yes, I was being nice this time

"Axler's distaste for the determinant is pedagogically insane" would be my actual take

[remote sparrow]

but it is proof-based

it's just geared more to applications

[median rock]

Can someone help with quandles racks and Young Baxter Equation ?

[wicked fractal]

<@&268886789983436800> smite

[random minnow]

any alternatives to rubinsteins a course in game theory?
my module has that as key but i dont really want to.. go through that book..

GOAT MENTIONED i took analysis 1 under her she's an amazing lecturer

[odd cargo]

motherfucker is just typing

[fallen relic]

anyone here who likes orwell?

i love 1984 but its js pro capitalist slop

[grim wedge]

q-calc books please 🙏

or just generally discrete calc

[sacred thicket]

wasnt author communist/socialist lol

[grim wedge]

no it's not lol

[plain maple]

Good evening does anyone have a book on latex?

[junior palm]

any basic tutorial on the internet is enough (as little as 20 minutes is perfect), the rest you kinda just search up on the spot whenever you need it

[plain maple]

Aiit tysm

[random minnow]

anyone?

[surreal bay]

hi so
does anyone have any alg books (competition based) that dont just focus on problems / focus on the theoretical side more

it’s hard to explain but

[odd cargo]

this is exactly why you need a lot of books to supplement early algebra

[mortal ore]

i mean youd only get good at the theory if you did exercises

[odd cargo]

this is only true to a certain extent

Algebra, by israel gelfand. with Hall and knights higher algebra, is enough primary reading

[mortal ore]

wdym

[odd cargo]

writing proofs is not like finding x

[mortal ore]

yes

oh youre saying that if the stuff is "finding x" level then exercises may not be necessary

uhh i suppose but i wouldnt risk it

[odd cargo]

exercises are always necessary*

definitely not alone though

[mortal ore]

wdym by not alone

like exercises along with external instruction?

[odd cargo]

A book that focuses on "theory" coupled with a book that is problem based.

kind of a no-brain combo

[mortal ore]

ah i see

though id assume the theoretical book would still have problems

[odd cargo]

take it up with the arbiter of mathematics then bubba

[mortal ore]

fair enough

im only the arbiter of necessary and sufficient conditions

[delicate drift]

uys tell me how can i find a practice questions

[wary path]

I need a book for Geometry

[surreal bay]

early algebra as in?

[odd cargo]

How new are you to maths

[surreal bay]

i mean

I’m currently a 10th grader
and sadly haven’t expanded past curriculum mathematics much

[odd cargo]

Higher algebra by Hall and Knight

10th grader, is that 16 years old

[surreal bay]

Yes

[odd cargo]

if you're in school then you probably dont need to do pre-algebra

or atleast i hope

The book i suggested is top notch

solid book

[surreal bay]

how would you describe it?
who do you think it’d fit?

and should it be enough for preliminarily reading?

[odd cargo]

what are you planning to do

[odd cargo]

Coxeter's Geometry revisited

[surreal bay]

in general?
hopefully be able to start getting into mathematics (starting from alg -> other topics) & try to develop the right background for competitive math

[odd cargo]

Hall and knight's Higher Algebra is probably a good start

[surreal bay]

is there a specific copy / edition i should get?

[odd cargo]

Well the first edition was released ~100 years ago

look around in your schools library, you'll probably find a copy.

[surreal bay]

oh

also
just wanted to ask

where do you think i should go on after finishing the book?
its pretty early to ask, but just incase ^

[odd cargo]

Problem-solving strategies by Arthur engel

or you could read a bunch of other higher algebra books, especially those that cover permutation and combination

[mortal cypress]

yall should try كتاب تع خيرالدين تع تيرمينال

[surreal bay]

this is for competitive math?

• another question mb
  what kind of background would you need for hall & knights?

[odd cargo]

Yep and pre-algebra to intermediate algebra

also, unfortunately for you, you cant really do "competitive math" without doing a lot of problems

you can find resources available on the net.

[odd cargo]

write it in english

[surreal bay]

^^ yes ofc there’s no point in them without problem-solving

[surreal bay]

oh
intermediate algebra = alg2?

[odd cargo]

yes

it does also cover algebra 2 though

so dont let it scare you

[surreal bay]

but should i still have a bit of background on it?

[odd cargo]

well obviously

again, if you're in school, the book shouldnt be a problem

[surreal bay]

oh alr
it’s just that we don’t start covering alg2 yet so just wanted 2 be sure

and tysm for the help

[tender cobalt]

anyone any ideas about Structure and Interpretation of computer program? I've heard it changes how you view programming altogether

[molten gulch]

SICP is a fun read, but it's oh so very long

[tender cobalt]

oo, what's it about though

[molten gulch]

LISP (scheme), what is programming, how are computer programs interpretted and executed, data formats, and a bunch of other stuff

[tender cobalt]

what's the benefit of learning those

[molten gulch]

I can't share the book itself here, even though MIT shares it on the page for their 6.037 class because technically the book is still under copyright and so the TeX format is unofficial and technically illegal

[tender cobalt]

Ye dw i have the pdf

[molten gulch]

Well you get a better understanding of how computers work, the biggest thing to learn here IMHO is data formats and how to think about programming

[tender cobalt]

Ooo

this "How to think about programming" seems very vague to me , been hearing that everywhere

[molten gulch]

no not all of it

I read parts of it as I get interested

[tender river]

800 pages 🙏

if it's just to learn a functional read anything by richard bird and phil wadler

[molten gulch]

That PDF is CC BY SA, but without permission from the original copyright holders for SICP it's not a legally authorized copy

That is the paid version

Also considering it explicitly says "Unofficial" I wouldn't trust it to be safe for sharing

[tender cobalt]

Tcc you should stop caring about piracy here all the time tbh , this diverges the main discussion alwyas

Like if there's pirated content it's going to be obvious

But things like these imo shouldn't bother much

might be "illegal technically" but as long as it looks legal from outside i think it's fine

Links don't get you into trouble usually

[molten gulch]

Yes, but this is not specifically the PDF version, which is not official

[tender cobalt]

public links that pop up right at the beginning, that is

[molten gulch]

They should IMHO

[tender cobalt]

Thats ur opinion

[molten gulch]

The version you linked, Chipper, is allowed

but the GH link to the PDF version is not

I'll go do some more digging

[tender cobalt]

Forget about it man 😭😭😭

You don't have to do all that

relax

[full cairn]

It doesn't matter that it's unofficial, the CC license allows you to modify it and republish

[molten gulch]

🤦‍♀️ duh

Okay wow I'm

a bit slow

as usual

excuse my blathering

[tender cobalt]

.

now someone pls answr

[molten gulch]

It's generally a big vague because IMHO it is somewhat hard to actually pin down

The main idea is "your program is a series of functions which interact, how should one think about those functions, building those functions, what is the scope, etc..."

Yea

I quite like that it does a lot of it in LISP

nice excuse to learn LISP if you don't already know it

[tender cobalt]

wow

enlighten me

what kind of things

alright

ima see

If this is actually the cs sorcerer book

[molten gulch]

I think my favourite books so far this term has been boneh and shoup's cryptography and the dragon book for compilers

hmmm I don't usually read a lot as much as I should but the 2 books I just mentioned have been quite fun, I also quite liked sipser's theory of comp, Doot has gotten me on a bit of a logic/computability kick recently so I really 'ought to go read Soare or Boolos, besides that I quite like pure maths, I've been reading some of Artin's algebra and at Miz's recommendation, Jacobson 1. I also have a copy of Rotman's Advanced Modern Algebra I ruffle through sometimes, I think Spamakin quite likes it. He also got me interested in IVA (ideals varieties and algorithms) and I plan to read that properly once I have a bit more ring theory under my belt (which is almost nonexistent right now). I also read friedberg insel and spence for LA (I didn't like our class book, which was Lay) and I also quite like Treil's LADW, though afaik it does have some gross errata in it

I do need to eventually study some analysis but that will be when I have some more time

[scarlet drum]

are there any good books on the monte carlo theorem? preferably undergrad suitable

[desert oriole]

second treatise

[hasty void]

want a good introduction to homological algbra ?

[rapid solar]

I apologize for the bad picture

Which one of these books are worth reading?

I don’t want to read any like textbooks

A nice alternative to who gave you the epsilon

Because my university doesn’t have that

I just want like a nice beginner math book

I was recommended what is calculus

And my university doesn’t have that

😭

Where is that I don’t see it

I see

I’ll do one at a time since I’m not given much to check out at once, but I’ll definitely keep mackay in mind

Thank you much

I’ll read cover and Thomas

[full cairn]

McKay is great, I don't know why it isn't recommended more often

McKay has so many interesting examples, like this one

Lol, that one is also great

Nice, looks interesting information theory is an underrated subject IMO

I'm honestly astounded that there's not a single course on information theory at my uni

[earnest quartz]

@full cairn please show the example I'm curious now

[earnest quartz]

also isn't it possible to id someone from a blood sample?

[gray gazelle]

I’d suggest learning technical french used in maths papers as it’s relatively less difficult to learn compared to learning it with a goal of fluency and there’s a great number of modern maths books written in french, especially in AG (afaik)

Although, you could try Milne’s notes if you don’t have enough time.

https://www.jmilne.org/math/Documents/DeligneWeilI.pdf

https://www.jmilne.org/math/CourseNotes/LEC.pdf#page151

edit: more specified, thanks to c2b7’s feedback

[midnight gulch]

learning an entire language is a ton of work (regardless of what language that is). i assume you mean strictly being able to parse french mathematical works

but whenever people say "just learn X language" that's almost always terrible advice

yeah, becoming fluent in a language without being surrounded by that language constantly is extremely hard

even getting to B1-B2 fluency is a lot of work

but if you just need enough knowledge to parse text from a mathematical work, its not so hard. most terminology is the same and you can always use a translator tool / dictionary, since directly translating text doesn't require much synthesis ability

[full cairn]

the book is freely available online: https://www.inference.org.uk/mackay/itila/book.html

[full cairn]

technically yeah, but that's not the point of the example. You'd think that since the suspect's blood type matches the one on the scene, that makes it more likely that he was the culprit, right? The neat thing is that it's actually evidence against the fact that he was the culprit

[midnight gulch]

also @tribal cove from search it appears the only two english translations are Goncharov and Milne's

[tame tree]

how is it evidence against?

[velvet flax]

is godement's book on sheaves modern enough to be useful

that is, is it preparation enough to not have to constantly look things up when reading ega

[gray gazelle]

yup

I’m sorry for not specifying it

[midnight gulch]

yeah its just learning the language in one very specific context

[full cairn]

I think McKay explains it best himself. AFAICT this paradox relies on there being (at least) 2 blood samples at scene - if it was just one blood sample then the probabilities would work as you'd expect, so I think this is part of why it's so confusing

it's chapter 3.4, page 55 if you want to read the whole thing

[tame tree]

doesnt it just mean its not strong enough evidence

[full cairn]

no, it's actually evidence against, you can do the calculation:

[molten gulch]

<@&268886789983436800>

[narrow bloom]

What have peoples experiences been w diamond and shurman?

Only done the exercises in ch 1 so far and curious what ppl think

[narrow bloom]

The modular forms boom

Book

[unborn hazel]

Can anyone guide me with what to start with first for https://mathematics.gg/books ? I am a physics student atm, year 1 but I am planning on dropping out at the end of the year but I still love my mathematics and would love to keep on learning it from a mathematics pov. We haven't treated mathematics rigorously so I am not sure where to start tbh.

[narrow bloom]

Real analysis is fun

I really liked the problems in baby rudin

Might be rlly hard if ur just starting tho

[unborn hazel]

idk if that is the right level for me yet lmao

[narrow bloom]

Linear algebra is also really cool

[unborn hazel]

i have never had to touch any proofs, sets or whatever

[narrow bloom]

Have u tried Axler? That was my first experience w proofs and I liked it a lot

For linear algebra

[unborn hazel]

I mean I am gonna be dropping out at the end of this year and they cover linear algebra next year. I have only covered sv calculus, and this semester we are doing mv and vector calculus, and some mathematical modelling. Although I want to stress that none of this is rigorous at all.

Do i need to know proof writing for that?

Looks interesting though, I will have a look

Would you recommend for me to try out some proof writing before hand or to just get stuck into it and see how I go?

That looks cool, I like how they set that up

I guess I will just get stuck in with it then, and see how it goes. I will have a look at that if I think I will need it, I appreciate it.

at what level is the book pitching the different topics? Is it more or less a "taster" in that area of mathematics or is there a bit more depth to it?

Got it, really cool though. Thank you for the help!!

[velvet flax]

i think a decent intro to "real" math would be something like kelley's gen top

or algebra ch 0

the latter is gentle but somewhat high-brow

the other one is more down to earth but slightly more terse

[gray gazelle]

real?

isn’t arithmetic real math?

[velvet flax]

i put real in quotations bc its not well defined

ig what i mean is math on semi-rigorous foundations

[velvet flax]

serre reference

[velvet flax]

in fact, kelley does some actual axiomatics iirc

in a system stronger than zfc

(mk)

[gray gazelle]

you could try this one too for your proof writing:

• Velleman’s How to Prove It

• some course notes from uoft
  https://www.math.utoronto.ca/~alfonso/proofs/fuchs.pdf

• Michael Penn did a yt lecture on it too (you could pair it well with the textbooks/course notes)
  https://youtube.com/playlist?list=PL22w63XsKjqykuLOimt7N59e6wn_aE0wd&si=O7U9a9ndsegqU2aa

[tender cobalt]

I'm looking to deepen my general CS knowledge and would appreciate feedback on my roadmap.

While I’ve spent time building projects in Python, Lua, and C++, I haven’t yet done a formal study of Computer Science or low-level programming. To bridge that gap, I’m currently starting with SICP (Sussman) for abstraction and CS:APP (Bryant) for systems fundamentals.

Following those, I plan to dive into:

• Hardware & Computer Architecture (using Harris & Harris or Patterson & Hennessy)
• Networking & Cryptography (Any book recommendations are appreciated)

Does this sequence look solid for someone moving into low-level/systems programming, or are there other recommendations I should consider?

[full scaffold]

I am an expeirenced shopify developer and currently I am going to study Computer Science.
I'd like to study together

[normal crystal]

[lament scaffold]

Can anyone recommend me a book about Matrix Analysis

Preferably something I can buy hard copy

[rich sun]

Matrix Computations

[short fable]

https://press.princeton.edu/books/paperback/9780691176536/scalar-vector-and-matrix-mathematics
If you want just something fanc

[zinc scroll]

Which are the best books to study intro LA?

[trail void]

pick any bro

if u wanna pair it up with a lecture go for Gilbert Strang

[molten gulch]

friedberg insel spence

[trail void]

WHY TF IS IT ALMOST 1600 PAGES 😭

[dapper lichen]

Hello

I am starting on Algebra

Any good book to start

[trail void]

what kind of algebra

highschool?

[dapper lichen]

I am not sure if I should start with a book like Artin's or directly go to Abstract Algebra

[trail void]

ok ok good 😭

MY BAD

[hallow robin]

Can anyone suggest me a good book for Partial differential equations.

[loud cradle]

isn't artin's book an abstract algebra book?

[dapper lichen]

It is

It is much more computational than, Dummit's, for instance

[loud cradle]

if you're asking whether a book like artin's is a necessary prerequisite to dummit and foote, then no

you can go straight to D&F if that's your goal

[dapper lichen]

Okay

Thanks

Do you accept friend requests?

[loud cradle]

i prefer to engage directly in the channels

[oblique girder]

Hello, I finished my degree without having taken Complex Analysis. Anyone recommend a book?

[short fable]

cuz matrices

[mighty tartan]

wow

lots of facts

[odd cargo]

bros reading the book of facts

[mighty tartan]

this might be the best book ever written

even a book like this has problems, wow

[shut geode]

good lord

[tender cobalt]

anyone

[still notch]

Is Horn and Johnson for a second course in Linear Algebra?

I've been looking for a second book in Linear Algebra after reading FIS, but not sure what to choose

[main turret]

Hello, I am interested in mathematics as a hobby. I have basic algebra knowledge, but I would like to build on this and learn subjects such as abstract algebra and linear algebra. Is there a book you can recommend that has translations into many languages?

[remote sparrow]

FIS is a second course in a lot of places

you can look at roman if you want

[tidal hare]

I want non-fiction psychology books and/or how to interact with humans books (don't judge me, I'm bad at that stuff) please

[jolly tendon]

Linear algebra anton rorres

[mortal ore]

First you gotta make sure you know how to prove things

I think theres a list of such books here somewhere, check pinned messages maybe

For linear algebra FIS is the standard

Abstract algebra u could start with dummit and foote but its pretty direct, so books like gallian could be more comfortable

But u should eventually be using D&F

[celest stump]

I recommend Algebra Notes from the underground by Paulo Aluffi. I dont know about the translations but it has the rest covered. Im also doing it as a hobby and Im enjoying this book.
Make sure to read the "background" appendix after the introduction (and before chapter 1 starts).

A few pieces of advice:
proving trivial stuff is not a waste of time (especially at the beggining)
it is fine if some pages (or exercises) take a couple of hours to read/complete each
Always do all the exercises as the material is very often built around doing them. It is fine if you skip some of them (after trying) as long as you return
try proving the statements yourself before reading their proofs

[hybrid sigil]

SICP is good. I’d also recommend to study algorithms and data structures, for example using CLRS (there are also MIT video lectures based on it by Eric Demaine). For cryptography Katz and Lindell is not bad

Compilers and Operating systems are also exciting topics

For OS I liked “OS: Three easy pieces” - https://pages.cs.wisc.edu/~remzi/OSTEP/

For networking Kurose and Ross is standard

I read a chapter about integer valued polynomials and properties of their bases in that Prasolov’s book, it was not bad. Overall Prasolov wrote tons of useful books at different levels, most of them not yet translated to English though. He is a good author I think

Not sure if that book is a good companion to your course though, why not to read some Galois Theory book directly? Like Rotman, Cox or Stewart? There is also a free book by Tom Leinster: https://arxiv.org/abs/2408.07499

[molten gulch]

I'm reading katz and lindell right now and idfk what to do about the notation being somewhat obtuse compared to what I'm used to it's making following some arguments rlly hard for me

[velvet flax]

first, learn to do proofs (vellerman has a book on this, as well as cummings). I think the most "grounded" thing that is accessible at this level is real anal, so maybe read rudin or the like. after that, a course in topology or algebra (or both!) would probably be a good idea; i recommend lang or aluffi (probably a good idea to read both) for algebra, and kelley for topology. once you do that, you will have enough knowledge to know what you want/need to learn to progress.

[celest stump]

if you go the real anal route, checking Tao might be worth it as he is beginner friendly

[normal crystal]

that's not what you were saying last semester

[light gale]

can anyone recommend a book for development in standard C++ or firmware?

[gray sedge]

Book:they thought they were free, rhetoric and philosophy 101

[remote knoll]

Bare metal development is significantly different to standard c++.

This is roughly equivalent to someone asking for information on the malliard reaction, and also how to make a nice plate of hummus.

[light gale]

yup

I need both

[remote knoll]

Then you need two different books

What in specific are you developing firmware for btw?

[compact bough]

what are some good books or resources on complex integrals/complex analysis?

[remote knoll]

If you just want a generic book, maybe Saltzer's Principles of Computer System Design will satisfy your need for a firmware book. For C++ I do not know of anything in specific that will give you a good modern grounding in the language, because I learned on C++03.

And taught myself modern C++ the hard way. Through the standard documents.

This resource looks like a good place to start though: https://github.com/yuchdev/CppBooks

[remote knoll]

https://mathematics.gg/books/complex-analysis does anything here help?

[loud cradle]

fwiw, the c++ server generally recommends learncpp to newbs

[compact bough]

seems like it might, yes!
tysm

[light gale]

I've been using AI Code to teach me C++ 😭

[compact bough]

insert the !noai thing

[remote knoll]

!nogpt

[hybrid sparrow]

Please do not trust ChatGPT or similar AI tools for mathematical tasks, as they often generate output which "sounds correct" but has numerous factual or logical errors. Use of these AI tools to answer other people's help questions is strictly against server rules (see #rules).

[remote knoll]

Though @light gale using AI to code is pretty common, but I do recommend that you at least learn how to live without it.

[light gale]

Yeah, that's why I started w3schools

[remote knoll]

Because mostly my brother has no idea how to code and is just vibe coding himself into a corner. And he's too proud/lazy to admit it

[light gale]

dude

I code cuz its fun, but I code for anything that pops up in my mind

so x-cruncher/picalc

[remote knoll]

Not saying you do, just

Cautionary tale

Don't be like my brother, learn the tools.

[light gale]

yes, I understand, but I am simply saying, vibe-coding makes sense for me

[remote knoll]

If you're doing performance critical stuff, you'll definitely need to understand not just how coding works, but also how optimization, cpus, and memory caching works.

[light gale]

that stuff I learn from a calculator-modding discord for no reason

[velvet flax]

the calculator cpus have much clearer architecture

modern optimized cpus are genuinely on some black magic shi

e.g. out of order exec, speculative exec (see meltdown/spectre)

[tender cobalt]

aLRIGHT THANKS

[tender cobalt]

YESS I WANT TO STUDY THOSE AS WELL

[tender cobalt]

aLR

[tender cobalt]

okay thanks

[tender cobalt]

what order do you recommend i read all those books in?

[hybrid sigil]

I think SICP and algorithms/data structures should come early, and then the rest. One potential order and more recommendations can be found here: https://teachyourselfcs.com/

[tender cobalt]

ohh thanks

Distributed systems ☠️ final boss

[hybrid sigil]

It’s not that hard , I think :)

[tender cobalt]

but doesnt require everything from previous 😔

[hybrid sigil]

Martin Kleppmann's “Designing Data-Intensive Applications” — I read this book for example, one of the few technical books that I actually read fully

[tender cobalt]

Ooo

[hybrid sigil]

Which is already saying something (that it’s not that challenging, otherwise I’d give up earlier)

[tender cobalt]

i see

If the idea of self-studying 9 topics over multiple years feels overwhelming, we suggest you focus on just two books: Computer Systems: A Programmer's Perspective and Designing Data-Intensive Applications. In our experience, these two books provide incredibly high return on time invested, particularly for self-taught engineers and bootcamp grads working on networked applications. They may also serve as a "gateway drug" for the other topics and resources listed above.

should i start with those two books and SICP

[hybrid sigil]

Whatever works

[tender cobalt]

i wanna build bootloader and os type stuff

bare metal programming typa stuff

but i guess i need to become a good programmer first 😔

[hybrid sigil]

I have some of those as physical copies:

[hybrid sigil]

OSTEP has nice coding projects and exercises for that. You may also find creating tiny databases and compilers fun, as practical projects

[tender cobalt]

Firee

[hybrid sigil]

And overall this is a good collection of links for “project based learning”, to give you inspiration:

https://github.com/practical-tutorials/project-based-learning

[tender cobalt]

yessir big fan of project based learning

[tender cobalt]

https://github.com/tuhdo/os01

Btw is this good

[tender cobalt]

damnn that page is keep recommending SICP

[tender cobalt]

yo do you also have the dragon book

[hybrid sigil]

Nope :(

[cerulean thicket]

Congrats on Active

[hybrid sigil]

Yes, I’m not a big fan of Skiena, to be honest.

I like Sedgewick for algorithms. And CLRS too

Everything is free after you bought it! (or borrowed from library!)

[molten gulch]

Same here

It is very different

[tender cobalt]

which one is better

[molten gulch]

They both do different things, one teaches you have to analyze algorithms and use data structures, the kther teaches you how to design algorithms

[hybrid sigil]

Sedgewick’s code and APIs are well designed and beautiful

Skiena’s code is sometimes ugly

CLRS does everything in pseudocode, so harder to compare with other two

Here we go, the first code snippet from Skiena

Odd 8-tabs, inconsistent parenthesis style, inconsistent spacing, unnecessary odd comment “counters”

No return type definition

These are all minor complaints, of course, but why I should let this guy teach me programming?)

[tender cobalt]

comptetitive programmer ahh

[tender cobalt]

that does look odd af

[vital chasm]

Ah its java

My condolences

[hybrid sigil]

And Sedgewick ^^. Teaches the right approach: separation between API, implementation, client code. Shows usages, beautifully formatted

[hybrid sigil]

There is a C version of Sedgewick book, if you are somehow allergic to Java

But there is no need to express any condolences

[vital chasm]

I meme haha

Java is OK unless I really need the program to be fast

Even then there are ways around it

Right tool for the right job tho

[hybrid sigil]

Tell that to hedge funds that use Java to implement trading low-latency strategies ;)

[molten gulch]

Java can be highly optimized

[hybrid sigil]

And you can use garbage-free approaches in order not to invoke the garbage collector

[vital chasm]

Ah

[obtuse thistle]

dont trust this guy his books will scam u

[vital chasm]

Isn't the jvm slow though

[hybrid sigil]

But that’s fine, not directly related to Skiena vs Sedgewick comparison

[vital chasm]

I would think that is still a significant difference

[obtuse thistle]

Anyway, does anyone have any good undergraduate complex analysis books similar to Abbot's Understanding Analysis

[vital chasm]

Ahlfors is one of the default texts but I admit it is a little hard

[molten gulch]

<@&268886789983436800> accusations of scamming and outright misgendering

[vital chasm]

Maybe needham's visual complex analysis
I am not exactly a fan but some of my friends like it

[obtuse thistle]

I was just gonna say how is that

[molten gulch]

Stein and shakarchi is p. Good from what I've heard

been told VCA is a good supplement

[obtuse thistle]

Yo chill tf out lol, u literally have been labled a scammer, it was a joke

[vital chasm]

Spammer*

[obtuse thistle]

^

[vital chasm]

scammer and spammer are two different words haha

[obtuse thistle]

Maybe they r just very enthusiastic about book reccomendations and spam all the time

[vital chasm]

Nah discord labels you a spammer when you add too many friends

No cap

Anyway back to books

Visual complex analysis to me is too verbose

[obtuse thistle]

Heard Ahlfors is very rigourous

I think id prefer visual, as im trying to couple it to my lecture notes

Its not in my local library though and 40$ :(

[hybrid sigil]

There are tons of Complex Analysis books…

Bak, Gamelin, Stein and Shikarchi looked good. Ahlfors felt somewhat annoying

[obtuse thistle]

Have you read the one by Priestly?

[hybrid sigil]

Ahlfors has a somewhat pretentious style of writing at times. On the other hand, he is the only Fields medalist from all those authors ;)

[hybrid sigil]

Nope. Sampled it in the bookshop but not enough to form any opinion

[obtuse thistle]

👍

[hybrid sigil]

Looking at it now :) So far I like it: many images, formatting is clean, writing is good. Short chapters with short sections, average number of exercises, not too many, probably possible to do all of them, if self-studying

Has some nice “beware!” sections like this:

[obtuse thistle]

That’s cool, I think my lecturer uses a lot of material from her book so could also be a good combo

[hybrid sigil]

Contents is right at the back, quite convenient:)

[wicked fractal]

something something analytic implies harmonic

[wicked fractal]

This cover looks sick

[hybrid sigil]

Published by Oxford University Press

[trail void]

y would you sit in your own home in jeans

[shut geode]

any recs for a categorically-minded first treatment of tensors and tensor products

[hybrid sigil]

That’s in the bookshop!

But actually what’s wrong with jeans at home? Am I supposed to wear pyjamas or something? 😆

[odd cargo]

the indian math curriculum lowkey has top-tier reading material

[tender cobalt]

yessir

[lavish radish]

jabberwocky ass question

[mortal iris]

Elaborate. In my experience it absolutely does not.

[odd cargo]

you dont think those classical trig and algebra texts are good?

off the dome im thinking plane trigonometry by Loney

its a very good book in my opinion

[mortal iris]

They're not common place in the standard Indian curriculum today. Used to be a long time ago and a great book indeed.

[molten gulch]

Some books are good sure but they weren't written by indians, used in the indian cirriculum sure but not for the indian cirriculum

[odd cargo]

A damn shame

[mortal iris]

It's originally a British authored textbook that found its way into India during British Raj for obvious reasons. Back then the curriculum was very much British at the high schools and universities but at a lower level of rigor.

[signal zenith]

Aluffi is the usual reference for categorically minded treatments of algebra

Can’t speak too much abt it myself tho

Most treatments of tensors are at least decently categorical

Namely because the definition in terms of free modules is absolute ass

In particular, categorical =/= “you can’t use elements”

[odd cargo]

Surely they're still keeping some texts around to supplement the curriculum, no?

[signal zenith]

If you accept that elements exist in modules, elementary tensors are then simply the images of pairs of maps under the universal mapping into the tensor product

One need not actually choose or work with a construction to use elements for things like diagram chasing and showing maps are bijections

In particular it also follows from the universal property that elementary tensors generate the tensor product, so no matter the construction you know that all elements of tensor products are linear combinations of elementary tensors

Anyway you just asked for a book sorry so I’ll say Aluffi 💀

[mortal iris]

Yeah of course. There's a solid minority that use these texts. I'm using them to teach for instance. But the overall curriculum, be it the national ones or the state ones don't care for these books. The competitive exam scene somewhat cares but only among those who like the subject matter, not those who wish to secure a seat.

Other examples include Maron for Calculus. Hall and Knight for Algebra. Irodov and Krotov for General Physics. Many old Soviet texts found their way into India and kinda stayed in some ways for those who look for it. There's a publishing company that reprints these books here for sale. Most of them are freely available on Mir books afaik.

[odd cargo]

I have an old soviet treatise on calculus by piskunov

[mortal iris]

But these are so not a part of the Indian curriculum. Most of the teachers are woefully incompetent here. They wouldn't be able to solve the harder end of the problems in these books lol.

[mortal iris]

Yeah that's also in circulation here. This one in particular is popular in colleges and unis.

[odd cargo]

It's calculus 3 section is laid out pretty well

[mortal iris]

One of the nicer, relatively concise Calc texts.

[odd cargo]

Hall and Knight is practically staple

though personally id prefer chrystal

a lot harder to read, unfortunately, but a phenomenal book.

or books if you count both volumes

[mortal iris]

Not here. Not any more. I honestly laughed at the high school math book here yesterday. Some 9th graders doing problems on compound interest. Had to find the net interest for some problem. Textbook example assumes the principal to be 100 outta nowhere.

[odd cargo]

The british had a good run for sure, no clue where all that went

[odd cargo]

how can someone make a concrete example so abstract

[mortal iris]

Let me send you a screenshot. It's hilarious

[odd cargo]

Principal may have achieved enlightenment

[mortal iris]

Well. Can't find it rn. I'll send it here tmrw. It's probably a stupidity of one of the newer editions.

[odd cargo]

to be honest, though, i think its harmless

[mortal iris]

Nah. It's problematic. You can't just make up numbers on the fly. They were given information to deduce the principal amount from the problem. Either way. There's more stupidity in that textbook. It's just horrendous.

The worst part is that it's a worked example. The idiots who wrote it couldn't solve it themselves.

[odd cargo]

making up numbers on the fly is a specialty for people like me by the way

do check out chrystals algebra books though

[mortal iris]

In an actual calculation where you have all the information you need, would you rather deduce or throw in a wild guess and hope it sticks?

Deduce with a calculator ofc.

[odd cargo]

given the context, it does seem a little too loopy

[mortal iris]

And it's a simple enough calculation

[odd cargo]

Do teachers in india have the freedom to diverge from the standard curriculum or not

cuz this is dreadful shit

[mortal iris]

The curriculum is not the problematic bit. The board prescribing these senseless books and the public that lacks the knowledge to vet them on the other hand is an issue. I'm pretty sure several people (still a minority) would have raised the alarms on these things. And ik for a fact that some teachers do their own thing. The problem is most of the teachers themselves need a re-education in math. If you looked at how our universities work it should tell you a lot.

[copper hornet]

guys i recomend 1984

[hybrid sigil]

It was a bright cold day in April, and the clocks were striking thirteen

[unique garden]

Why did I get a ping?

[hybrid sigil]

Maybe because the clocks were striking thirteen

[unique garden]

oh that makes sense, i never added a 13 oclock in my math clock

[lapis ledge]

do we have to talk about math books here?

or could we talk about my 2001 chemistry book

[molten gulch]

Reading the channel descriprion would inform you nicely

[lapis ledge]

where is the desc?

[molten gulch]

On PC it's at the top of the discord page next to the channel name, on mobile it's in the user menu, it's not exactly hard to find

[lapis ledge]

ok thx

[daring wolf]

ive never seen mathcord people reading channel descriptions at least once before writing weird stuffs

[gray gazelle]

bro reacted to himself

[molten gulch]

<@&268886789983436800> irrelevant gif

[remote knoll]

please don't post gifs here.

take that to #chill

[lapis ledge]

why did you block me

[compact bough]

any suggestions for abstract algebra or like group/ring/field theory books/resources that i'll totally absolutely definitely get around to reading?

i sorta have a bit of footing in it but not as much as i'd like

[livid blade]

check the last message in the pins. IMO Artin deserves its spot as the standard recommendation; it does a better job of making contact with the rest of undergrad mathematics than many intro algebra texts, without spending a ton of time belaboring the obvious

[compact bough]

alr tysm

this?
(dw i switched off the notif for the reply)

[junior shoal]

is there a book between hertein and artin
artin is kind of terse to read
and i am having kind of a hard time
any help would be appreciated

[hybrid sigil]

Dummit and Foote "Abstract Algebra", quite a nice read, and not terse!

[molten gulch]

I quite like artin and rotman

[junior shoal]

i tried reading that. but found it a bit too simple for my taste. the problems were not challanging (to the point i had done it) and the theory was not terse enough. ik this sounds weird but its very handed down in some sense i do not have to think much

[junior shoal]

i will try rotman thanks

[molten gulch]

Then use lang I guess

It's known for its very hard problems and somewhat abstract nature

[hybrid sigil]

ok, and what is your concern about Herstein? (I assume that you mean his "Topics in Algebra")

[junior shoal]

I completed the first chapter. from the second it became smt like dummit and foote. the problems got fairly simpler and the feeking that the first chapter had was just not there

[junior shoal]

this was another rec i had. tho i was told the problems are brutally hard and are meant for a grad student should i still try it?

[molten gulch]

If other texts seem too easy, try it

Jacobson is another good rec with hard problems afaik

[junior shoal]

oh could you say the full name

[hybrid sigil]

Maybe Clark is for you, it's basically a sequence of problems where you have to derive everything yourself :)

[molten gulch]

Basic Algebra Volumes 1 and 2, Nathaniel Jacobson

[livid blade]

Jacobson, Basic algebra I was my first algebra book and I would not recommend it as a first algebra book

[hybrid sigil]

Clark "Elements of Abstract Algebra"

or Dixon "Problems in Group Theory", Borcherds recommended it

[junior shoal]

wait this sounds wonderful, cuold you tell the full name

oh just saw it thanks

[junior shoal]

sry who is borcherds?

[remote knoll]

Field's medalist

[hybrid sigil]

British mathematician, Fields prize winner, he has YouTube channel with nice lectures

[molten gulch]

A very good skill for a budding mathematician should be the ability to search for things using the internet

[junior shoal]

oh i should have known him.

[remote knoll]

He proved the monsterous moonshine conjecture.

[junior shoal]

i shall learn that soon thank you for all of your help

[hybrid sigil]

let me know how it goes with Clark :)

[junior shoal]

sure

[tender river]

https://www.amazon.com/Elements-Abstract-Algebra-Dover-Mathematics/dp/0486647250

ah it's been recd already

[haughty mural]

do yall know a goood

book on quantum physics

[bronze yoke]

Yo, any recommendations for a real analysis book or linalg book for self-study?
Lowk need to read this stuff on my own atp

Whoops, didn’t mean to reply on that one

[normal crystal]

only every seventh comment

[bronze yoke]

lol I should’ve checked

[tender river]

#book-recommendations message
#book-recommendations message check out some of these books

[spiral heath]

Calc 1 books?

[midnight gulch]

first 9 ish chapters of stewart's calculus

[flat plaza]

Zorich seems fine, though I would classify it more as a real analysis

[primal mica]

You’ll have to be more specific, I’ve got a couple dozen that could fall in that category on my bookshelf.

[blazing holly]

Also depends on your skill level

[primal mica]

Pop sci? Undergrad? Early grad? Research?

Quantum mechanics? Quantum fields? Quantum materials? Quantum computing?

Terse? Verbose? Concept heavy? Math heavy? Philosophy heavy?

Lots of different categories here

If you just want a standard easy intro to quantum mechanics you could check out Griffith’s book. Or even earlier than that could be a modern physics text like Krane’s. His nuclear text has a pretty quick crash course on basics as well

[blazing holly]

Idk if this is a hot take or not but I do not enjoy Griffiths QM

[primal mica]

I actually think reading Weinberg’s quantum mechanics as an undergrad could be helpful, just skimming the math and focusing more on his presentation. Historical perspectives are also helpful and can be fun, I usually recommend students read Segrè’s From X-Rays to Quarks

[blazing holly]

I almost despise it in comparison to his E&M book

[primal mica]

Haha, I think that’s fair enough.

My intro course used Liboff, I and many others also like Shankar

And I think Levi’s applied quantum had a lot of fun sections in it

[blazing holly]

I hear great things about Shankar’s book, same w/ Schroeder’s (if im spelling it correctly)

[primal mica]

Woit or Hall for math students both seem good, I liked Woit’s just as a read, but I didn’t dive deep. I don’t think it even had exercises

[blazing holly]

Uhhh
I have some math QM textbooks

I have the one by Hall and another by Faddeev

I don’t have too strong of opinions of them one way or the other

[primal mica]

But yeah, ping with some higher level of specificity on what you’re looking for and I’d be happy to reply. :)

[nimble osprey]

Wow some books are pretty expensive with shipping

Like for example axlers ladr book is 70$ with shipping

[hushed spire]

LADR, Understanding analysis (alternatively the analyses books by Tao)

[mighty tartan]

inflation

[heady ember]

What? It had always been free

⛵

Nothing wrong with what I said

But, you are free to make your own inferences 😉

Mm yes some libraries allow you to borrow unlimited copies, for unlimited periods of time.

✅

[hallow robin]

Pde book recommendation please

[signal zenith]

Evans PDE

[mortal iris]

Rustom Choksi's book is good for an intro

[remote knoll]

@hushed spire take the meme posting to #chill

[compact bough]

😭

anyway is the diff forms coverage in Gravitation by misner, et. al any good?

[rapid solar]

Would anyone tell me what they think about “Infinite Powers”?

[livid blade]

It's very wordy, not super precise, and also entangled with a lot of other material and context. If you are not already reading this book for some other reason, I would suggest a more self-contained treatment.
I learned this material from Spivak, Calculus on manifolds and Spivak, Comprehensive introduction to differential geometry volume I. A more recent book that I like for its care and thoroughness is John Lee, Introduction to smooth manifolds (though it's quite long).

I have also heard Shifrin, Multivariable mathematics recommended as an accessible introduction (with lower prerequisites than Lee), but I have not read this one.

[rapid solar]

By Steven strogatz

[rapid lily]

yeah I second Spivak and Lee, I learned differential forms from calculus on manifolds

[compact bough]

i see
i've heard a lot of good things about spivak and lee's works
i just haven't gotten around to sitting down and reading them lol
though i have read shifrin
tysm

[rapid lily]

Also, I think I like Spivaks a lot more than Lee. Lee would be good to read after

also the Lee one is like 700 pages spivak is like 100 lol

[rapid solar]

Guys I want some opinions on my book too 😢

[livid blade]

Lee really expects you to have the multivariable calculus other than differential forms under your belt already (like chapters 1-6 of Duistermaat & Kolk, Multidimensional real analysis, or 1-3 of Calculus on manifolds).

[molten gulch]

it's pop maths, what of it

[rapid solar]

Okay I don’t know what that means

[molten gulch]

popular mathematics, not rigorous

[rapid solar]

Okay..

I’m asking what do you think about it

Not what its genre is

[mellow rivet]

Pop math is normally bad

[molten gulch]

If it's not obvious, I don't like popular mathematics

[compact bough]

oh damn
yeah i'll def check it out first

[molten gulch]

strogatz does have some good books (mainly nonlinear dynamics), but I'm not really a fan of pop maths whoever it's from

[mellow rivet]

Pop math would be like "the sum of all natural numbers is -1/12"

[rapid solar]

Well I’ve never read a math book before, I’m and I’m trying to get into it

[compact bough]

i feel like most ppl here don't, which i don't blame them for bc neither do i

[rapid solar]

I got like

[molten gulch]

how much maths have you done so far

[rapid solar]

I’m taking calc 3 now

[mellow rivet]

Real math would show the extension of the zeta function having value -1/12 at -1

[rapid solar]

Maybe might take linear algebra over the summer

[molten gulch]

okay then go read abbott's understanding analysis

[daring wolf]

read rudin

[molten gulch]

or this

[rapid solar]

I got like

From my library

Let me see what it was called

[rapid lily]

@rapid solar read that spivak book I was just recommending XD

[rapid solar]

A Beginners Guide to Constructing the Universe

I got this book

[rapid solar]

I’ll look into it, what was it called again?

I’ll make a list

[rapid lily]

calculus on manifolds

its like a math textbook though (albeit a small one)

but it is the natural step after calc3/lin alg or you could at least do the beginning chapters

Those pop math books might be good for "inspiration" or something idk but they could also be misleading

[compact bough]

i've heard mixed opinions on spivak's proof of stokes', but i'm intrigued to read it when i get around to it

[rapid solar]

Okay

I’ll look into Rudin

What is that

[molten gulch]

A very good skill for budding mathematicians to have is to learn how to search the Internet for information

[rapid solar]

Wow

What a wonderful community

[rapid lily]

rudin is like a calculus book

[rapid solar]

When I search Rudin, I just get some dude

[molten gulch]

Took 5 seconds

[rapid solar]

What exactly is it called?

Okay

[compact bough]

insert the one very bouncy cat gif sticker

[rapid solar]

This community has some people that are actually helpful and others that sort of look down on you because you’re a beginner

I think you can tell which one you are

[compact bough]

well that's a bit rude imo

[rapid solar]

They’re being just as rude

I’m just asking questions

[molten gulch]

Oh I really don't care if someone is a "beginner". It is a simple skill to learn to use the internet to search for things

[rapid solar]

Well sorry if I wanted to get a quick gist

[signal zenith]

FWIW I don’t actually dislike pop math. There’s ways to do it well that I generally like even if they’re explaining things I understand

EG I think Veritasium does their videos generally very well

This also may be controversial but I have a generally positive opinion of quanta magazine

Idk anything about Strogatz

[rapid solar]

I love this creator

[compact bough]

i've got mixed feelings
some topics can be interesting,
but most of it feels repetitive after a while

i do appreciate pop math and pop sci for getting ppl involved and interested in math and science so long as they don't turn to crackpot conspiracy ai slop responses and "theories"

[rapid solar]

His videos are very interesting

I think 1 pop math book should be enough to get me going

Then I can go more rigorous

I’ll read infinite powers

[rapid lily]

I like veritasiums videos bc sometimes they explain common misconceptions

[signal zenith]

Pop math is kinda like that bell curve meme imo lol

[compact bough]

the one with the wojaks?

[signal zenith]

Although maybe it’s arrogant of me to pretend to be on the right

[rapid lily]

like how energy doesnt travel through a wire or how a light bulb can turn on within 1ms even if the cable powering it is 1 light year long

[signal zenith]

And it definitely can be done badly

And you can’t pretend to know math by knowing pop math. But if you do know math the intuition is really what’s most important. There are many for example 3B1B videos which I felt have given me way deeper intuition for things I already know the rigor of pretty well

Eg 3b1b video on the Fourier transform

[rapid solar]

I liked the video on the creation of i

[rapid lily]

Thanks to pop sci and pop math I thought calculus was the end of math until I went back to school to study physics lmao

[rapid solar]

Yeah I’m thinking of getting my masters in math

[rapid lily]

then I found abstract algebra etc

[compact bough]

lowk same
for the longest time i thought it was like the final step until i actually looked into math properly and discovered i like learning about whatever the fuck graded derivations and cotangent bundles are

idk if i'm getting off topic from the channel tho

[compact bough]

uhhhh any suggestions for stuff covering number theory? (unless there's a pin with some)

ooo alr

[molten gulch]

Rudin's Principles of Mathematical Analysis is an introduction to Mathematical Analysis (at this level some may regard it as "proof based calculus", though this is generally incorrect. It was originally published, if I recall, in 1953. The text itself is a relatively terse introduction which begins with a construction of the real numbers then proceeds to providing basic notions of topology such as open and closed sets, the euclidean topology, the notion of a metric spaces, connected and compact spaces, topological properties of metric spaces, etc... before proceeding to explain the idea of numerical sequences (functions whose domain is the natural numbers (or sometimes integers and codomain is some target space). He then quickly discusses the notion of sequence convergence and limit before then moving on to subsequences, cauchy sequences (sequences where eventually points start to cluster together after some point), the monotone convergence theorem (monotone bounded sequences converge), before moving on to a quick discussion of infinite series (sums of an infinite number of terms of a sequence), series convergence tests, summation techniques, how to find the sum of an infinite series, etc... Then he introduces the notion of limits of functions whose domain may not be N or Z, so general functions, the notion of continuity and continuous maps between metric spaces, relationships between continuity, compactness, and connectedness, and discontinuous functions. After this, he introduces the notion of a derivative in the following chapter along with mean value theorem, l'Hopital's rule, and Taylor's theorem. The next chapter is a quick introduction to the Riemann-Stieltjes integral, which one may regard as a sort of generalization of the classical Riemann integral. There is a further chapter on sequences of functions and a discussion of uniform continuity.

After this, one should probably move to a different text, such as (based on previous recommendations within this channel, W. Rudin's Real and Complex Analysis, H. Royden and P. Fitzpatrick's Real Analysis, E. Stein and R. Shakarchi's Real Analysis, G. Folland's Real Analysis, S. Axler's Measure, Integration, and Real Analysis, P. M. Cohn's Measure Theory, R. Schilling's Measures, Integrals, and Martinagles, or D. Salamon's Measure and Integration as W. Rudin's treatment of multivariable analysis and lebesgue integration is quite universally disliked.

Here's a note from Dami's review of Rudin located in the pinned messages for this channel.

[heavy pelican]

3 messages hidden from likely spammer

[mellow rivet]

We need a counter for this

[compact bough]

fr

[rapid lily]

I have Rudins Real and Complex Analysis I like that one

never read baby rudin though

[compact bough]

also i don't wanna dwell on this for too long bc it's off topic, but fwiw, regarding the earlier convo, i don't think anyone's rude or overtly pedantic for just expecting some ppl to have a bit of a sense of direction and/or common sense here lol
some ppl are more open to newer ppl than others so long as it's not gpt crackpot nonsense, and not everyone has to have the same exact disposition to newcomers or to 'beginners' as others

[compact bough]

why's it called that anyway lol

[rapid lily]

Nah @compact bough @rapid solar I have been in this server for years @molten gulch is just kind of like that 😂

[compact bough]

lmaooo fair

or wait

you've only been here for like a year 😭💀
still tho if you're telling the truth i guess that makes sense lol

[rapid lily]

I think I left at one point and came back

[compact bough]

ohhhhhhh

[rapid lily]

But I have been in the server off and on for probably like 4+ years

[compact bough]

well nonetheless my point is that nobody is owed perfect joyful enthusiastic responses when they join lol

[rapid lily]

I remember going to college meeting someone in person an they were also in this discord lol

oh yeah that’s true

[compact bough]

crazy

[molten gulch]

It's because of the sequence of "baby Rudin" being PMA, it's the easiest/least complicated of the bunch, then you have Papa/Mama Rudin, which is RCA, and then Grandpa/Grandma Rudin, which is FA, and then Great Grandma/Grandpa Rudin which is Fourier Analysis on groups OR Function Theory in the Unit Ball of C^n

[rapid solar]

my point is i just didnt want to feel ridiculed as i had been

thats all

[rapid lily]

oh nice, never heard of “grandpa rudin” 🤣

[compact bough]

then again, to give the benefit of the doubt a little, i guess some ppl want help without a layer of MSE-esque pedantry lmaooo
not calling anyone, let alone thecatcollective, pedantic ofc
just saying

[rapid solar]

i mean it really costs nothing to be kind

[compact bough]

lmao me neither

[compact bough]

ohh boy

btw one of these days i rlly gotta check out some of shifrin's other works
if any of them hold up to his multivar mathematics book, i'll def recommend them to anyone here

[compact bough]

i see

[molten gulch]

Well ofc the definition one may have for "least complicated" is a bit subjective, I personally have struggled a LOT any time I have tried to read Rudin, I've liked Zorich, Amann and Escher, and Abbott's treatments of basic analysis better

[compact bough]

oh that's completely fair

[molten gulch]

I actually do formally need to sit down and learn some analysis, I've never done it formally past maybe 2 ish chapters in any book before I either got busy with uni again or burned out due to whatever else in my life

[livid blade]

My feeling about baby Rudin is that it's a book everyone should try to read and no one should feel bad if it doesn't work for them. Some people will come to it at just the right point in their development, where what they need is to hang the accumulating ideas of analysis onto as small a structure as possible. Other people will bounce off because they need more explanation, or more applications, or wider difficulty ranges in the problem sets, or just something other than his maddening efficiency. None of these people are wrong.

(The people who tell you to read chapters 9-10 though, those people are wrong.)

[hushed spire]

What did those chapters do (haven't read it btw)

[livid blade]

Differential and integral calculus in R^n, so compressed as to need exegesis from another book to understand what's going on at all

[hushed spire]

oh I see

[vital wyvern]

Im looking for a document with exercises on proof by induction and the principle of well ordering, including strong induction.
Anyone got good references on that?

[remote sparrow]

https://youtu.be/DSyF8k-r7wQ

[tender river]

pretty much any intro to proofs books or discrete math book will have that

https://www.cs.ucdavis.edu/~koehl/Teaching/ECS20/Handouts/Induction_problems.pdf and go a page back here you'll get problems on strong induction too https://www.cs.ucdavis.edu/~koehl/Teaching/ECS20/Handouts/

[vital wyvern]

Thanks! I'll check those links

[tender river]

if you want a proper book chapter you can read the induction chapter in https://www.cambridge.org/us/universitypress/subjects/mathematics/logic-categories-and-sets/how-prove-it-structured-approach-3rd-edition?format=PB&isbn=9781108439534 how to prove it by velleman

[cunning elk]

my analysis course is just speedrunning baby rudin and I’m not looking forward to those chapters

[midnight gulch]

usually those wouldn't be covered in a first analysis course

[normal crystal]

"the remaining weeks will be spent card counting in a class project"

[cunning elk]

this is supposed to be a second semester course

but like the entire first half has been reviewing shit we should've covered first semester

my first semester course

would not have gotten past like ch4 of rudin

[normal crystal]

you made it obvious several times
sorry😬

[cunning elk]

we're on ch8 rn i think?

[lapis ledge]

guys do you guys have guys a book

that can help me learn math

competetive geometry is killing me

[pale mica]

rudin

[lapis ledge]

who is that

[pale mica]

thank curse me later

[trail void]

professional gambler

[lapis ledge]

how is he gonna help in math

[trail void]

gambling is math

geometry, game theory, trig, proofs, sets and category theory aswell as probabilities and statistics

[lapis ledge]

its not

[trail void]

hey listen kid, ya wanna hear his magic or not?

[lapis ledge]

well

[lapis ledge]

how did you know im under the age of consent

[trail void]

cuz i read rudin ofcourse

[molten gulch]

@lapis ledge rudin's PMA overview I wrote earlier today

[lapis ledge]

this guy?

[molten gulch]

yes that guy

W. Rudin

[lapis ledge]

ignore the arabic

[molten gulch]

Rudin's book is for analysis not geometry btw

[lapis ledge]

oh

[molten gulch]

It's in the name of the book

[lapis ledge]

i only read arabic

i cant read english

[molten gulch]

Yes you can, you seem to read English just fine while in this server

[lapis ledge]

i was just jk

[trail void]

🤣

[lapis ledge]

my level in english is C1

but american shows make me feel A2

like i cant catch what they're saying without captions

[lapis ledge]

thx ig

[lapis ledge]

you're the first one to get mad at me

[lapis ledge]

will you be my witness to get chat back?

[normal crystal]

weren't you muted more than once

[lapis ledge]

3 times

[molten gulch]

he was

[lapis ledge]

one was an accident

[normal crystal]

so I guess it wasn't just TCC

[lapis ledge]

i got unmuted when i contacted modmail

[normal crystal]

I see how this ends
mhm

[lapis ledge]

the second one was bc i didnt shut up about my mute

[molten gulch]

I can already see where you're heading with this

[lapis ledge]

the third was i was testing how bad i can swear

[normal crystal]

too bad he won't be able to tell us about his fourth one

[molten gulch]

yeah why weren't you already banned holy shit

[lapis ledge]

thats my last

[normal crystal]

exactly

[languid tangle]

Oh

[lapis ledge]

I dont wanna be banned im just a kid

[languid tangle]

Finally something interesting

[lapis ledge]

my mutes are not interesting

[languid tangle]

You are

[lapis ledge]

im under the age of consent

[languid tangle]

I mean character

You're funny

I'm not a pdf dude 😭

[lapis ledge]

Yay?

[languid tangle]

And I'm straight

[molten gulch]

"Just a kid" is not some excuse you can throw around to be a dick, to derail channels, to get yourself - role'd, to constantly act immature in a space where you're expected to have at-least some sense of maturity, to constantly bring up sex, to constantly test the boundaries of moderation, to act like you can get away with anything, to bring up your past moderation actions as a badge of honour, etc...

Yes I am taking this personally

[languid tangle]

https://tenor.com/view/charlye-woah-gif-17985360

In the history of ever in forever
First time I'm seeing this server mod crashing out

[molten gulch]

I'm not a mod

[languid tangle]

Valid crashout tbh

[lapis ledge]

sorry 😭

[languid tangle]

Uh-

[lapis ledge]

are we good?

[molten gulch]

You have asked me this repeatedly over the past several days, take a hint at me not answering

[lapis ledge]

so are we or not?

[molten gulch]

The answer is obvious, figure it out for yourself please

[lapis ledge]

No?

[molten gulch]

Now I think I've derailed this chat enough for today, I'm out

[lapis ledge]

we're not goood?

[lapis ledge]

Bye

I just want to make sure everyone is happy with me being in this server

[compact bough]

uhhh

anyway

(i admittedly have been more collecting source recs than i've actually dedicated time into getting my hands on a copy but still lol)

anyone got any suggestions for uhh

[molten gulch]

Sure, what recs do you need?

[compact bough]

cgt?

i feel like @unique garden may know some lol

[molten gulch]

conway's on numbers and games or winnings ways for your mathematical plays 1-4

[unique garden]

for what?

[compact bough]

tyty

[compact bough]

cgt resource recs

[unique garden]

ye[

those are the best

[molten gulch]

There's also Siegel's Combinatorial Game Theory as published by the AMS

[unique garden]

by far

[compact bough]

alr!

[compact bough]

ooo alr

[unique garden]

start with winning ways tho

its much more easy

[compact bough]

thanks sm to both of y'all

[unique garden]

im always here if u want clarification for cgt :3

[lapis ledge]

Hi

[molten gulch]

Siegel recommends Nowakowski, Albert, and Wolfe's Lessons in Play: An Introduction to Combinatorial Game Theory

[compact bough]

i'll take your word for it tysm dawg

[compact bough]

i'll give those a look too

[unique garden]

oooh, thats good aswell from what ive heard

[molten gulch]

There's also Osborne and Rubenstein's A Course in Game Theory and Maschler, Solan, and Zamir's Game Theory, which are NOT CGT books, but just general Game Theory books

[compact bough]

oo that sounds interesting too

[molten gulch]

I think for those you do need some real analysis

[unique garden]

most likely

[compact bough]

ah damn

i've got a bit of a grasp of real analysis but i prob gotta brush up a bit

alr i think that's plenty of source ideas for now tysm y'all

[naive compass]

Anyone read lotm or orv or RI here

[compact bough]

you're gonna have to tell me what those acronyms are i'm lost lol

[normal crystal]

Lord of the Mysteries
Omniscient Reader's Viewpoint
Reverend Insanity

[compact bough]

ohhh
never heard of any of em mb

[willow pecan]

Yeah

[hallow robin]

Okayy thankss (do u have pdf? Will be great if you could send it)

[barren vortex]

Does anyone know of a good resource for problems/exercises on localizations of categories in algtop, and/or using the adjunction between smashing with a pointed space K and taking pointed maps out of K?

[lament scaffold]

Apostol or Spivak Calculus?

[jolly tendon]

Spivak is the basic one

[lament scaffold]

Cool

[mortal iris]

That would be illegal

[mortal iris]

Both are equivalent

[jolly tendon]

in my uni spivak is used commonly

[rotund eagle]

What is the best abstract algebra book(s) for references? I.e. without lot of details or motivation stuff, like introductory books, but still with proofs of the key results and comprehensive enough to cover all or almost all of the field.

And the same question about linear algebra and real analysis

Great, thank you! And, since we’re here, could you please also recommend the same for complex analysis and differential geometry?

3k pages, I bet it is:) Thank you again!

great, exactly what I'm looking for

what is Lurie?

yes, sure, I am using different textbooks for introduction. But sometimes it is useful to have some sort of compendium of this kind as well

hm, haven't heard about the nlab, will take a look

[gentle flint]

guys read IE irodov

✌️

[jolly tendon]

Ok

[tender cobalt]

"read"? bro

it's a problem book

😭

Say "solve IE irodov"

its not a book you learn things from, its a book you solve problems from

[hybrid sigil]

Well, technically you need to read problem statements first before solving

If we are being pedantic here

[mortal iris]

You can also just jerk off to problems

[cerulean thicket]

[trail void]

"sit at the table and play with yourself" - Magnus Carlsen, Field Medalist

[tidal hare]

Where do y’all tend to buy your books from?

[tidal hare]

He also said F1 is driving around in circles… I don’t think he knows what a circle is

[trail void]

depends what country

[rapid lily]

amazon, book stores, etc

[sharp holly]

buy?

[hybrid sigil]

Amazon, AbeBooks, ebay, Springer, Biblio, brick and mortar bookstores

[tidal hare]

Thanks guys

[mortal iris]

You buy books from the rainforest or the river?

[rapid lily]

the store is named after the river

[mortal iris]

There's a store?

[foggy quest]

probably https://www.amazon.com/

[compact bough]

what lol

[shut geode]

no sorry

[trail void]

you can find them in many places: the homeless shelter, the psychiatry ( ideally the section reserved for schizophrenics)

[molten gulch]

not funny

[trail void]

Ryan i do not see who ur replying to

[molten gulch]

you

[trail void]

ur labelled as a spammer

[molten gulch]

I know

[trail void]

descartes may disagree

[compact bough]

fr

[midnight gulch]

if you click "Show" it gives you a virus

dont do it

[molten gulch]

hello gauss

wait not gauss, who is that

legendre

[trail void]

HAHAHAHAH

YES

[jovial wave]

whats are nice ressources to learn pre university calc 1 & 2 ? I've been using aops lately.

[molten gulch]

thomas' calculus textbook, stewart's calculus textbook, paul's online maths notes (which are free), etc...

[trail void]

bro tbh u can use absolutely anything for that level

[arctic yew]

Why is blud so angry in this painting

[trail void]

thats the happiest mathematician alive wdym??

[arctic yew]

Galois looks better than this

[trail void]

and guess who lived longer than 20?

[arctic yew]

... Euler

[proud osprey]

My favourite thing about Legendre is how there's another picture that was long thought to be of him but then it turned out its just another guy with the same exact name

[compact bough]

lmao fr?

[umbral field]

https://en.wikipedia.org/wiki/Adrien-Marie_Legendre#Mistaken_portrait

[compact bough]

ohh that one

[grim sorrel]

Hello there..

Anyone complete olympiad prepation books guide..?

[flint dove]

https://artofproblemsolving.com/wiki/index.php?title=Mathematics_books

Here, that’s a list with math books including math Olympiad books

[grim sorrel]

I'll check it out..

[small estuary]

They expensive af

Are there cheaper e books available for sale ?

[remote sparrow]

don't buy ebooks

[small estuary]

Why not ?

[remote sparrow]

because they can be free

[flint dove]

fr

[small estuary]

I see, will explore

[small estuary]

Whats your level in maths

[flint dove]

Well, I am not sure how to respond that question because I don’t think I am advanced nor beginner. I am studying physics but I self study math by my own. I have studied some Olympiad books from my country even though I never participated in it, some real analysis, linear algebra, a little bit of topology, differential geometry, and rn I am studying calculus of variations and complex analysis

[grim sorrel]

Ohh most part matches to myself too.. can I get to know about the resources you use..?

[grim sorrel]

Wasn't the pdf available though?

[flint dove]

Sure, some of the books that I used are in Spanish, so if you know Spanish I can also name those books.

I used Linear algebra done right by Axler, introduction to real analysis by bartle, I also started to read real analysis by Carothers but I moved to other subjects so I really didn’t go that deep. I read Introduction to topology by gamelin and I am looking forward to read topology by Munkres. For differential geometry I used differential geometry of curves and surfaces by Stephen Lovett, and I read very few sections of the 4 books on manifolds by John Lee. For complex analysis I am using Alfhor’s book and for calculus of variations I am using gelfand’s book

[trail void]

ohh this is amazing

are there any other mindful book lists? for mathematics

id love to browse through

[midnight gulch]

look at pinned

or search mse/mo for long list book recommendations

or look at the chicago ug math bibliography

or search google to find more

[trail void]

Bet, Thank you

its very lovely from what im seeing

i will save it and look into it later

thank you :))

[visual delta]

https://complex-analysis.com/content/brief_history.html Why is the paragraph right before "Final Comments" pulled directly from Theodore W. Gamelin's Complex Analysis at page xvii? No citation to Gamelin at all.

[short fable]

IDK talk to the author, author seems contactable

[fast harness]

nice domain name

[stiff tide]

What do you guys think about "The beginning of Infinity"?

[fast harness]

looks like its a community project so someone could have pushed that to the github

[signal zenith]

From the wiki page it doesn’t seem to be a math book

Anyway this is the type of yap that physicists love

[cunning elk]

10 equations that cHANgEd tHE woRLd

[wicked fractal]

"A cohomological approach to cohomology"

[tender cobalt]

"The new Einstein of 2026" (referring to some kid who did some whatever science project)

[cunning elk]

THE NEXT MOZART? (it’s a 3 year old playing early intermediate piano repertoire badly)

[wicked fractal]

Reminds me when my peers call me a genius

[midnight gulch]

i hate when my peers talk about how tall and cool and smart and handsome i am

[mortal iris]

Typically the length of a material contracts when cooled.

[steady sleet]

Hi! due to the weirdness of my countries education systems my calculus class only taught derivatives but not integrals. Now I'm at uni and I need to learn to integrate rather quickly (I know miracles don't exist, but I am willing to put in a lot of effort), does anyone have any good resources?

[odd cargo]

how quickly lmao

[grizzled kraken]

what books to get to get a deep understanding of philosophy of math and of course help me actually do math ( in english ). So my american friend is coming to my country and I'm gonna make him bring me some book
because he wants to bring me something
I have graduated High school by cheating on all my math exams. You know but I think I want to start from 0 and build my way to 100 somehow. I'm willing to forget the ways I was taught in high school

I'm willing to like open my mind about math maybe I was badly introduced to math in school. I want to understand it

I hated math so that's why I cheated in the past but maybe I was close minded and badly introduced

[odd cargo]

whats "100" to you, genuinely

[grizzled kraken]

Well it is university level math ( higher maths )

A+ in that

I prefer books to be honest

[odd cargo]

let him bring you a book on calculus

by Spivak or Courant

most pre-calc texts freely available on the internet are decent enough to get you up there

pre-algebra and IT/College algebra texts are good enough as well

Dont do Khan academy

or OCW

not enough rigor

you need a lot of books for each sub-field in maths, even as simple as pre-algebra

Khan academy and OCW is waste of time

i promise you

[grizzled kraken]

Yea I'm more so interested in philosophy and how its tied to math I don't know

That makes it interesting for me

I think

[odd cargo]

Bertrand Russel has a book

very famous one

not sure if you should be reading it if you dont know, at the very least, high school algebra

[grizzled kraken]

The Principles of Mathematics?

[odd cargo]

yea

but dont read it

if you're shit at maths

its just going to confuse you a lot more

[grizzled kraken]

I'm pretty shit at the moment I guess

[odd cargo]

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

[grizzled kraken]

I know some basic stuff tho