book-recommendations

[limpid gazelle]

Ok understandable

[flint forge]

And relies way too much on certain forms of intuition

The person is chill

Afaik

Concise on the other hand

Relies on you being willing to spend a long time on each page

And having experience w filling in details

[hearty steppe]

Sounds like learning topology has been a painful experience for you

[limpid gazelle]

Ah

I think second half of Munkres 's topology book is algebraic topology?

What about that

[gray gazelle]

i read the first few parts of munkres' AT in the second half and it's just like the rest of his book

not bad but he kinda writes out a LOT

[limpid gazelle]

Lmao I see

[gray gazelle]

i could be thinking of his analysis on manifolds when i say that though, jesus christ that book is something

but yeah munkres is really wordy

[limpid gazelle]

Wait what about his analysis on manifold book

[gray gazelle]

it was an unrelated remark

[limpid gazelle]

Yeah ik

[gray gazelle]

the only criticisms i have of the second half of munkres are that it's too wordy and there aren't a lot of exercises (although i didn't go past the deformation retractions section for my class)

his analysis on manifolds book writes out every tiny little detail to a painful degree

but this could be bias from reading spivak for that subject

[limpid gazelle]

Lmao I see

First three chapters of Spivak was ok

But the fourth chapter completely threw me off

[gray gazelle]

chapter 4 of spivak is probably indigestible without an instructor or supplementary material

[limpid gazelle]

It was like, a list of definitions then a theorem

[deft nymph]

lee's introduction to smooth manifolds and tu's an introduction to manifolds
@gray gazelle i just realized these book u recommended to me are from springer textbooks which are pretty well written textbooks. i like the lin alg springer textbook btw!

[limpid gazelle]

I have no intuition on differential forms whatsoever

[deft nymph]

a friend introduced me to the lin alg version dats how ik abt it xd

[gray gazelle]

like i love spivak's book a lot, but i can't deny that chapter 4 is.... special

[deft nymph]

im contemplating abt adding this class

im just viewing the course work to see if i should add it or not

[gray gazelle]

i remember reading spivak and taking forever to understand how he defined the pullback of a differential form

he goes so fast

[limpid gazelle]

Same

I think I understand all the definitions, but I just have no intuitive understanding of those definitions

[broken meadow]

wait what spivak

isnt that the uh

[gray gazelle]

calc on manifolds

[broken meadow]

oh

yeah no wonder

i was so shoook

[deft nymph]

@gray gazelle did the geo/topo courses u took had any proofs?

[gray gazelle]

absolutely

[limpid gazelle]

Yeah metal integrals are hard

[deft nymph]

lol

[gray gazelle]

i read that as "metal integrals"

[limpid gazelle]

[broken meadow]

[gray gazelle]

and also

calc on manifolds has quite a few errors

[deft nymph]

alright

human errors

[gray gazelle]

e.g. his theorem on the existence of partitions of unity fails to mention compact supports, and the next theorem uses that fact right off the bat

it's a tricky book

[lost fjord]

,w manifold

[hasty eagle]

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Requested by Doctor How#8970

[gray gazelle]

@deft nymph if you're at a university/similar-place-of-learning you might be able to get high quality pdfs of the books i recommended for free legally

[deft nymph]

Alrighty no worries!

[cinder vapor]

😳

This place scares me

[gray gazelle]

oh, and spivak's a comprehensive introduction to differential geometry volume 1 might also be a good manifolds book @deft nymph (sorry for the late ping, i just thought of this)

the same criticism i gave for his calculus on manifolds does not apply to this book

in order of difficulty i'd say tu < spivak <= lee

[deft nymph]

Ah alrighty I’ll check all the books you recommended to me later ty.

[marble solar]

I'm a huge fan of spivak's diff. geom. volume 1

I skipped a pre-req into Riemannian and read That during the break and felt pretty prepared

[brittle latch]

what is meant by the term manifolds book

[marble solar]

Spivak's Calculus on Manifolds?

Munkres Analysis on Manifolds?

[brittle latch]

the word manifolds throws me off, i'll assume it's terminology im just not acquainted with yet

[marble solar]

Oh what does manifold mean

I'll give you example of some 2 manifolds you're familiar with

Sphere

[quick hornet]

its a surface which "looks like" euclidean space if you "zoom in" enough

this isnt really true but thats how you can think of it

[brittle latch]

ooooooooooo

[marble solar]

Planes, cubes, etc.

[valid moth]

the earth is a manifold

[marble solar]

It has a rigorous definition that is a bit tedious, and not very intuitive unless you've been indoctrinated

[valid moth]

seeing as it is flat

[marble solar]

I just joined my local chapter of the flat earth society

[quick hornet]

eh its not that tedious

first we want a space thats locally homeomorphic to euclidean space

but oops thats too big

so restrict it to second countable

[brittle latch]

can we start a mobius strip earth society

[quick hornet]

but oops we have weird degenerate cases

so force hausdorff

and we good

[valid moth]

pretty sure the earth is a klein bottle

[marble solar]

I mean, sure but if someone doesn't know basic topology

One man's trivialty is another man's headache

[brittle latch]

seems a bit above my paygrade for now but i appreciate the short explanation :)

[valid moth]

i mean learning any definition would be tedious if you had no idea about any of the prereqs

[marble solar]

I was helping a prof. move offices to a new building and saw his Calc. on Manifolds exam after I had just finished Calc 1

I was thoroughly shocked there wasn't a single thing I understood on the exam

Ahh to be 17 again

[brittle latch]

it's the worst time to be 17 tho and it'll tell u cuz im 17

i finished my calc requirements last semester but im probably taking a gap year so imma have to keep doing math on me own

[marble solar]

What books are you lookin' at?

[steel viper]

being 17 sounds somehow even worse than being 16

im not looking forward to it

[brittle latch]

well ive been compiling (ha) a list of programming books first (double major) but the only ones i have on my math list for now arent really textbooks theyre just things i might find interesting

[marble solar]

Oh that's fine too, I read a lot of history of math

and other random stuff

[brittle latch]

    - counterexamples in topology
    - napkin - evan chen
    - (look into the law of large numbers)
    - winning ways
    - how not to be wrong
    - GEB an eternal golden braid
    - A programmers introduction to mathematics
    - Mathematical Proofs: A transition to Advanced Mathematics
    - the art and craft of problem solving
    - (check out) prime number theorem
    - in pursuit of the unknown
    - the road to reality

[marble solar]

That I find

[brittle latch]

this is it atm

i know some of those are wayyyyyy above my level but i just made note of them for my future self

yeah one thing ive found in becoming more involved with programming books is that reading about important figures in the field inspires me to do my own shit so the same probably applies to math

i was probably gonna start with the "Transition to Advanced Mathematics" one tho, im already reading how not to be wrong

[gray gazelle]

i know this is super late

but when i said "manifolds book" i meant something less like spivak calc on manifolds and munkres analysis on manifolds (good for an "advanced calc" class) and more like the books i recommended

e.g. actually studying smooth manifolds and not just using them to rush stokes'

[long bear]

I think uh

lee's smooth manifold book has been recommended to me

as well as carmos Riemannian geometry book

but i haven't read either

anyhoo

what do you guys think about Hilberts "The foundations of geometry"?

[gray gazelle]

the two books i just mentioned take the "all manifolds are subsets of R^n" approach and, while this isn't exactly more general (thanks whitney....), it does simplify a while lot of things

[long bear]

its a book on like, synthetic geo

theres also uh "geometry and the imagination"

by hilbert

i don't have a proper background in euclidean geometry

should I start off with those or should i study an actual euclidean geometry book

[sage python]

"should" makes it tricky to say

I wouldn't say Euclidean geometry is particularly useful

So if you're pursuing it you're doing it for fun. If you think you'll enjoy it and don't have some other priority then sure go for it

But I wouldn't describe Euclidean geometry, aside from maybe what's tied into linear algebra, as something anyone has a real imperative to know

Hire someone to do it for you

[granite sluice]

ask on stackexchange

(same suggestion as Dami but paying in points)

[white cradle]

why do euclidean geometry when you can do hyperbolic geometry

[sage python]

This but unironically

All useful Euclidean geo has been subsumed by analysis and linear algebra anyway

But hyperbolic stuff is another story

[granite sluice]

there are open problems in Euclidean geometry

actually tons of them, depending on your definition

[white cradle]

most of my knowledge of hyperbolic geometry is from hours upon hours of HyperRogue

[granite sluice]

some of them are very important

[white cradle]

which y'all should play tbh it's an amazing game

[sage python]

My knowledge is approximately nothing and tbh I normally hate differential geometry but

[long bear]

This may or may not be pertinent to the conversation but I'd like to do theoretical physics when I leave school hehe

[sage python]

After hearing about the Mostow rigidity theorem

I am now team hyperbolic geo

[ionic wren]

I’m being forced to do comp maths

[long bear]

would a good understanding of euclidean geometry help in that domain?

[granite sluice]

complaint maths?

[sage python]

Press F for AlephNull

Yeah Ann?

[gray gazelle]

F

[white cradle]

yeah have you played hyperrogue yet
if you say you're team hyperbolic geo i feel you'll enjoy it

[ionic wren]

I fucking hate comp maths with every bone in my body

[granite sluice]

im team euclidean geometry

if I could have perfect understnading of one object, it would be R^n

[sage python]

Oh I haven't, I'll keep it in mind once I finally go to Wisconsin and get my damn laptop back

Well if you understand R^n

[gray gazelle]

im team differential geometry awful index soup

[sage python]

You understand all subsets of R^n

[white cradle]

defiovgnbjzdklgjskilajsflhjdfklh index soup

[ionic wren]

That’s true

[sage python]

So by Whitney you understand manifolds too

[ionic wren]

Well what if we just have a set which contains all the possible interesting sets

[granite sluice]

true

[ionic wren]

And say we understand that set

[sage python]

Is that set interesting?

[granite sluice]

wait but that set sounds pretty interesting

[sage python]

Sorry lorenzo

Great minds think alike

[ionic wren]

Daminark I’ve heard that one before

[white cradle]

aleph null

[granite sluice]

you beat me

[white cradle]

what about

[granite sluice]

😦

[sage python]

Greater minds think faster

[white cradle]

if we had a set

of all sets

[long bear]

wouldn't that be like an infinite regression problem

[granite sluice]

oooh good idea ann

[long bear]

turtles all the way down or something

[ionic wren]

Guys is the set of all sets in that set

Bet you’ve never heard that before

An original thought

[granite sluice]

whats this 'original' you speak of

[sage python]

Anyway to make this about books again, Damon what are you trying to learn exactly in physics?

[ionic wren]

I’m doing comp maths now

In a couple mins

Kill me

[sage python]

Like if you wanna do general relativity

[long bear]

wasn't the amc canceled?

[sage python]

You'll need differential geometry

[ionic wren]

No

I don’t think so

[sage python]

Though you might be better off learning it from a physicist anyway

[ionic wren]

It isn’t

I’m doin it like in 1 min

[sage python]

Aleph what's preventing you from just like

Not doing so?

[long bear]

XD

[ionic wren]

The school

It requires me

[sage python]

The school forces you to do a competition?

[ionic wren]

They can make me do what they want

[sage python]

[ionic wren]

Cause I got a 15k a year scholarship

[sage python]

I see

[granite sluice]

@sage python I am a big fan of this emoji

[sage python]

Right? It's so good

[granite sluice]

it makes me feel smurt

[gray gazelle]

if there's no requirement to do particularly well in the competitive math then what's the big deal?

[granite sluice]

like I am making an astute observation and articulating it well

[long bear]

wait

[gray gazelle]

can't you just do the contests and forget about it?

or is there more to it

[long bear]

Aleph are you in year 10 or year 11 & 12?

[sage python]

Anyway Damon I imagine if you're doing intro physics stuff still you probably will mostly focus on stuff like trigonometry, linear algebra, stuff like that

I think

[long bear]

cause my school forced me in years 9 and 10 but not in vce

[sage python]

You absolutely won't need the angular bisecting chord whatever the fuck bullshit that people in Greece liked

Ancient Greeks were complete nerds

[long bear]

for QM you need linear algebra and differential equations on the math side, and you'll want to have taken analytical/classical mechanics on the physics side. for GR, you'll want to be familiar with analytical mechanics and special relativity, and though multivariable calculus is all you really need to do the physics, it helps to have seen some manifold theory beforehand so you know what's going on; i recommend Lee's smooth manifolds book and do Carmo's riemannian geometry book for that. as a prereq for the manifolds books, you'll need some point-set topology (munkres is the standard book for that), and real analysis probably wouldn't hurt. you can check the resources channel on the physics server for some of the physics books

[sage python]

Lee and Do Carmo are very different

[long bear]

someone in the physics server told me this

[sage python]

But yeah I think with a lot of physics it depends on how mathy you wanna go

[gray gazelle]

lee's smooth manifolds and do carmo's riemannian geometry aren't about the same thing

[sage python]

Like I know Wald's got a book on GR

[granite sluice]

I think they mean in succession, read lee then do carmo

[sage python]

And I think it does all the manifolds/geometry it does, but from the physics pov

[gray gazelle]

probably yeah lorenzo

[sage python]

If you wanna learn the math take

Then yeah you'll want basics of smooth manifolds and Riemannian stuff. I don't recommend Munkres though for point-set

[long bear]

I mean, I'd like to have a more mathy understanding

[sage python]

Probably too drawn out

[granite sluice]

learning basics of quantum computing is relatively easy (at least, based on those prereqs you list), and presumably gives intuition that carries over

[sage python]

Lee has a topological manifolds book that's at the level of Munkres. You might want some algebra going in but not much unless/until you hit algebraic topology stuff

In fact Lee even has a Riemannian geo book but idk how much people like it

[long bear]

abstract or linear?

[sage python]

Maybe a little bit of abstract, stuff like groups

Thing that's tricky is I don't know what topics are important and what aren't. Like it's possible that Loring Tu's book, which covers less, will still cover all that's important for you to know about manifolds

And that just introduces the topology in an appendix, and only requires linear algebra going in

etc

[long bear]

Would you say having a more mathy background would be better or worse to having say the math stuff from the perspective from a physicist, or would it be better to have both?

[sage python]

I feel like this is a question you're better off asking the physicists rather than the mathematicians

[long bear]

Ah ok

[sage python]

My impression is that what the physicists think is adequate is adequate

http://www.fulviofrisone.com/attachments/article/486/Wald - General Relativity.pdf check this for example

[granite sluice]

my impression is that mathematicians don't understand physicists

[sage python]

Likely, but the corollary would be that you don't need to understand math to do physics

[granite sluice]

yeah. I don't really know what Damon wants to do but I'm going to repeat my suggestion to learn some quantum computing... it's a much less complicated formalism.

no manifolds

no infinite dimensions

similar intuitions (from what I hear)

[long bear]

would you say that the manner these subjects are taught to mathematicians give further insight than they are taught to physicists

[granite sluice]

maybe if you want to build quantum computers and stuff

but just to learn about Shor's algorithm, Grover's algorithm etc.

you don't need that much

what are quantum channels?

for communication?

but still everything is finite dimensional, because you only have a finite register

(at least in the model where a classical turing machine buils a quantum circuit)

[long bear]

The impression I've had is that although the math taught to physicists is "adequate", it does have some parts missing, which i suspect could expand and further my overall understanding, what do you guys think

am I completely off or no?

Mhm

I think I will try the more mathy route, despite it not being super important

just for fun :)

[granite sluice]

understanding the model of computation and the algorithm, and why it gives the correct answer

i have really limited knowledge here

run time analysis is good

the one I have in mind is where a classical turing machine builds a quantum circuit

its the one used in arora-barak

lol

its ok, i was a little confused

whats the POVM?

oh the positive operator thing

we touched on that a little when I took a course on this, but mostly it was the circuit model

which is a lot more comprehensible to cs people

i just took one course on this

which was moved online because of covid

afterwhich I basically stopped learning things 😦

but the first half was really good

yeah I hope so

I miss being in class 😦

its so fun

[wooden sparrow]

I ummm... Hate classroom

[granite sluice]

@wooden sparrow iirc you're in india? the classroom culture here is really different (based on what I hear from my indian friends)

sorry if misremembering

[wooden sparrow]

Yes you're right

[granite sluice]

its less central authority that students obey kind of thing

more like friendly wizard showing you secrets

at least with a good prof

[wooden sparrow]

No it's more the authority shit

There's no good professor I've found till now in my life

[granite sluice]

maybe u can be a good professor one day researcher 🙂

then you'll have found one

yeah there are some great youtube videos from iit also I think

[wooden sparrow]

There's professor Leonard, David J malan. I've seen both on internet

Got fed up by Indian teachers soo much that I don't even look at their videos before judging...

[granite sluice]

😦

[wooden sparrow]

Well so doesn't me being beaten by them

But here we are

[granite sluice]

@wooden sparrow https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-046j-design-and-analysis-of-algorithms-spring-2015/lecture-videos/lecture-3-divide-conquer-fft/

[wooden sparrow]

Fuck those degenerates...
If they help you, great.. I had my share of indians teaching shit

[granite sluice]

serious professor crush for this guys teaching style. hes the best person.

[wooden sparrow]

Wow that guy seems great

[granite sluice]

https://www.youtube.com/watch?v=VqeF98GGiXQ

MIT professors seem top tier.
@sweet lotus yeah

its still funny

I like Patrick Winton.
@sweet lotus ok im finally going to watch how to speak

ive been putting it off

yeah there's a big difference between watching on youtube and being there in person

[smoky surge]

i really liked his AI class

[granite sluice]

how to speak explains why zoom talks are so bad

[smoky surge]

and the book is good too

very high level tho

very high level

[granite sluice]

whats his book on?

[smoky surge]

AI the 6.034 one

it goes over everything from basic search to neural nets to genetic algos

[granite sluice]

thanks

[ionic wren]

Ok

Done the comp maths

@long bear the amc is so ez s2g

[long bear]

lol @ionic wren

i forget, don't they level it beginner, intermediate, senior

oh wait

maybe not beginner

junior?

[deft nymph]

I don’t think so
@ionic wren yes you do need differential geometry if you’re doing general relativity. I took the class lmao.

[fleet tide]

most of the time you learn the tools from diff geo that you'll need for GR in the same class

[short geode]

Are there some informaticiens expert that think that P=NP ? I read before that 99% thought P=/=NP. For me there are some reasons to think that...

[granite sluice]

There was a survey, but basically no expert thinks that P = NP. E.g. see here: https://blog.computationalcomplexity.org/2019/03/third-poll-on-p-vs-np-and-related.html

Here is one famous researcher who thinks P = NP is possible: https://rjlipton.wordpress.com/conventional-wisdom-and-pnp/

[night knot]

Isn't Knuth also on the P=NP boat

[granite sluice]

Sort of, see question 17 here: https://www.informit.com/articles/article.aspx?p=2213858&WT.mc_id=Author_Knuth_20Questions

But in both cases the sense I get is that they are just being careful about making claims we don't know yet.

[weak fossil]

Hi. Looking for an introductory Statistics and Probability book for high-school math. Something accessible and not too hard.

[fast turtle]

what in your opinion is the abstract algebra book with the best and most useful set of exercises? I read the pinned message on abstract algebra, but I am looking for a book with actually interesting exercises, you know, that type that would keep you up at night wondering how to approach them. I don't mind if it needed number theory or some LA.

[valid moth]

artins algebra, jacobsons basic algebra I

the first is longer and includes LA from scratch in the course of the first couple chapters

the second is more concise/dense and covers more material i think

[fast turtle]

I see, thank you

[marble solar]

https://www.math.ucla.edu/~rse/algebra_book.pdf

Richard Elman's lectures on abstract algebra are really good

[fathom monolith]

There was a P NP convo earlier. Im wondering if the proof of P=NP would illuminate how we bridge the gap on some of those NP hard problems. idk how someone might even begin to show such a thing, or what top people think about it. But I wonder if solving it would by proxy solve All NP hard problems.

[fast turtle]

I believe that a proof, if exists, of P = NP would not be constructive in the sense that we won't solve NP in P, but we would proof that a solution must ex.ist

[quick hornet]

would not be?

is there a proof of this result

since i havent heard it before

there is, of course, a proof that if P \neq NP, then "standard techniques" of a certain sense are unable to prove it

this is the motivation for e.g. geometric complexity theory

but your statement is different

when you say "I believe'' do you mean "this is my opinion/best guess" or are you referring to an actual result?

[fast turtle]

nope, i am simply saying my opinion.

[quick hornet]

ah.

but i'd imagine a constructive proof would be far easier to present

actually is there any comparable nonconstructive proof in complexity theory? at all?

of what result

oh huh

[fast turtle]

Donald Knuth talks about a nonconstructive proof in complexity theory iirc.

[quick hornet]

i heard about that but havent looked into it

but yeah i forgot about that entirely

so fair point

[fast turtle]

It is correct that a constructive proof would be easier, but it seems to me, based on opinion and gut feeling, that it is impossible to find such a proof in our axioms.

[quick hornet]

impossible?

[fast turtle]

Of course the future might proof my gut's feeling to be wrong

[quick hornet]

then P \neq NP

[fast turtle]

I would be happy to embrace that

[quick hornet]

since a "constructive proof" in this context is just presenting an algorithm for an appropriate problem

and if such an algorithm does not exist

(i.e. a constructive proof does not exist)

then we've proved P \neq NP

and can rejoice

[fast turtle]

There are certain algorithms that we can't write down

[quick hornet]

what do you mean by "can't write down" here

you do realize that P and NP discusses turing machines

[fast turtle]

I mean that we could proof that an algorithm exist that does a certain thing without actually writing it down

[quick hornet]

but saying it's impossible to write down in ZFC

would be the same thing as proving P \neq NP

since there are countably many turing machines

(it is possible for there to exist a nonconstructable algorithm for some problems, but not in the context of the fairly simple settings P and NP take place in)

[fast turtle]

you are taking the phrase "write down" literally, I will give an example to elaborate what I mean, I could for example prove that a rubik's cube could be solved by an algorithm using group theory, without actually providing that algorithm

[quick hornet]

sure but that doesnt mean its impossible to express that algorithm in ZFC

in fact you've shown the opposite

the algorithm does exist in ZFC

maybe i'm reading too much into the "impossible in ZFC" claim

but its such a bizarre line

[fast turtle]

Yes, that is true

I did a mistake in phrasing what I mean

[quick hornet]

alright, fair

[fast turtle]

Apologies, english isn't my first language

[quick hornet]

if you mean "not realistic to write down"

i suppose that is possible

[fast turtle]

Exactly

It could be super huge

[quick hornet]

alright, understandable

[fast turtle]

I would definitely like to read a paper that actually proves or disproves P = NP no matter what valid argument is used. :3

[fathom monolith]

So to clarify, a constructive proof would provide some way reduce any general NP problem? assuming such a thing exist of course

and a non constructive proof would just show existence but not provide insight for any specifics?

[quick hornet]

well a nonconstructive proof might "provide insight"

it just doesnt explicitly construct the algorithm

but yeah, you have the rough idea

more specifically

there are a class of problems called "NP hard"

which means for every NP problem

there is a way to reduce that problem to any NP hard problem in polynomial time

so if you have an algorithm that solves an NP-hard problem in poly time

you can "bootstrap" it to solve any NP problem in poly time

by just "adding in" the reduction algorithm

so, if we can solve even a single NP-hard problem in polynomial time

we can solve all NP problems in polynomial time

proving P = NP

• as long as the "typical" criteria are met (nonprobabilistic and etc)

(its worth addressing a common misconception here: NP-hard problems may not be in NP)

(NP-hard just means "at least as hard as NP" basically)

("NP-complete" is the term for NP-hard problems in NP)

(but giving a P algorithm for any NP-hard problem suffices, not just an NP-complete one.)

let me rephrase

if we have an NP-hard problem that we don't necessarily know is NP-complete

then showing it is in P suffices

but it also means it is NP-complete

sorry, my wording was misleading

thanks for the clarification

[fathom monolith]

thanks for the clarification. Ive done undergrad research in data structures and algs, but I havent seen much on this topic. is it possible that if we solve an NP problem in P that we were just mistaken about the nature of the question. Does it for sure prove p = Np

oh maybe i miss read

[fast turtle]

P is a subsetof NP

[fathom monolith]

yea i see

[old matrix]

but isn't NP finding the solution? and not checking if the given is a solution

yeah

yeah yeah sorry'i just got confused

yeah

😃

[molten wave]

mmm

loose

a solution also needs to be polynomially bounded by the input

theorem verification is polynomial, yet it's not NP

[hidden burrow]

understanding analysis abbott

is this a good book to start with on analysis

[deft nymph]

Donald Knuth talks about a nonconstructive proof in complexity theory iirc.
@fast turtle is complexity theory the full name 4 complex theory btw?

[quick hornet]

ive never heard of "complex theory"

[gray gazelle]

@hidden burrow What's the context? Are you taking an analysis course right now?

[hidden burrow]

this fall I will be taking it

I think one of the past professors used this book but Idk what book we will be using and I would like to get a head start on the course

and its free

[gray gazelle]

Well, to be fair if you have access to the library, a lot of books are free.

Unless corona closes your local library.

[hidden burrow]

yeah Its closed and I like to own my books

I think the school will have a open library

but idk what the rules will be like

[gray gazelle]

Interesting.

[hidden burrow]

just wondering if any one has used the book

[gray gazelle]

I guess corona is that bad in your place.

[hidden burrow]

yeah I live in texas

but any ways

have you read it before?

[gray gazelle]

Nope.

[hidden burrow]

😦

ok

[gray gazelle]

No need to think too much. Just go through the book and do the problems.

You said it's free for you.

[hidden burrow]

yeah its from springer

the publication just gave a lot of there books out for free

the pdf's

[gray gazelle]

Oh, it's a PDF. I thought a senior or someone gave it to you.

[hidden burrow]

but I hear some of the books they publish are not that great since they cover so many topics

[quartz pawn]

@hidden burrow people use that as a supplement usually for another text but I've heard nothing but good things

[smoky surge]

hey i just noticed there arent any books for probability in the resources area

[gray gazelle]

Yeah. The recent springer books are filled with errors. I think they fired all of their technical editors lol.

[smoky surge]

does anyone have one they like

[gray gazelle]

What's the context @smoky surge? You're taking a class on probability?

[smoky surge]

self learning but i will be taking a class this semster want to get a jump start

[gray gazelle]

Lol, same story both of you.

[hidden burrow]

yeah lol

[gray gazelle]

Imo, find who's teaching next semester and ask them for a book recommendation.

[valid moth]

@limpid gazelle read abbott

abbott seemed decent

i read part of it

[hidden burrow]

ok thanks!!

[valid moth]

you can also try pugh's real math analysis

[hidden burrow]

sigh the 4 professors who normally teach my analysis are already doing a full load so the math department has yet to find some one to teach my class

@gray gazelle

[gray gazelle]

I see.

In my opinion, it's always better to pick a popular book like Rudin. More resources, like solutions online. And more people have read it. It's straight to the point too.

[deft nymph]

@quick hornet rip i confused it with complex analysis lol

[gray gazelle]

Does anyone else gets excited when they order an actual book and not "pirate" it from academia.edu

if it was a cheap overseas edition with the same content then yes

👍

I'm missing permissions for some reason to emote your text so I'll just leave this here instead

[gray gazelle]

I used to buy "classic" textbooks from abebooks.

I realized now, it's a waste of money. It was just my ego talking. A rack full of difficult books that I don't read look impressive.

If I cared, I'd just get a copy from my library or interlibrary loan and work through it.

[viral pasture]

Sad

[smoky surge]

i mean if you read it it could be a conversation piece

or if its something you like its not a waste of money

but i think you do have to read a good portion of it

[wispy wren]

That's not just math books. Many people like to buy books and collect them without actually reading through them

Making it through your current library is a worthy goal

[smoky surge]

I agree but for me personally I’d want to have read the book

Or a good amount of it

[foggy fiber]

A lot of public universities let anyone use their libraries for research (can't check out things). My doctor is near a university library and I will go in there from time to time to catch up on journals.

[pulsar aurora]

Yeah, my local university and community college campuses permit anyone to go there to read books.

Problem is though, a lot of them are far, or in dense areas that driving is more or less the challenge.

[quartz pawn]

@gray gazelle I used to have this problem too. But I'm actually going back and reading them now that I'm out of school and slowly but surely making my way through them.

Most of the books I have were gifts but I'm going through all of them now.

[gray gazelle]

In my place, university libraries are open to public.

[quartz pawn]

Same for my college.

I think alot of universities do this. They want people to have the information available to people who just want to learn. Some professors will just let people audit their classes too.

[long bear]

Any opinions on this book?

[viral pasture]

Nice leaf

[wooden sparrow]

Looks Canadian

[long bear]

I believe they are called Maple leaves

[white pebble]

ithink i only ever used spivak for calc

& internet

[gray gazelle]

Suppose we say the book is shit, what then?

[white pebble]

maybe canadians have to use books with maple leaves on them

[long bear]

I would then ask for a book that the person who thinks that believes to be good

[gray gazelle]

Is it a required book for your class?

[long bear]

No. It's not part of the Aus curriculum at my current level

at least, not at this stage

[gray gazelle]

So, just for self-study?

[long bear]

Yes.

[gray gazelle]

Imo, check your local library, and pick the one that interests you. The standard recommendation is Spivak.

No need to buy a book. They are heavy and expensive.

Don't use PDF either. Staring at your screen can't be good for your eyes.

[long bear]

Fair enough.

Thanks

[white pebble]

No need to buy a book. They are heavy and expensive.
@gray gazelle having the physical copy of a book is nice tbh

you can create personal bonds w them and shit

[gray gazelle]

Lol.

[viral pasture]

you can create personal bonds w them and shit
@white pebble Oh, you're that... type of person

[white pebble]

baby rudin and i were special

now i've replaced him with fma but

now fma and i are special

his scent

the crispness of the text

the boldness of the fonts

the texture of his pages

his brash exercises

[viral pasture]

sexy book

[white pebble]

yes

[long bear]

...

[gray gazelle]

wait I should really have...

edited baby rudin onto it

[white pebble]

yes

you should have

but

fma better

[gray gazelle]

What's fma?

[white pebble]

foundations of modern analysis

[long bear]

...

too fast to read lul

[gray gazelle]

Oh, that one.

[viral pasture]

Is that book good?

[white pebble]

hm i like it yeah

i think a lot of ppl dislike bourbakis though

[hollow current]

bourbaki are advanced

[white pebble]

good exercises

[gray gazelle]

Oh it has exercises? Didn't know that.

[white pebble]

fma is like 2/3 exos

[delicate canopy]

in the book channel

in the introductory subset

should i choose one or read all four?

[wooden sparrow]

i think a lot of ppl dislike bourbakis though
@white pebble people read bourbaki? Like in syllabus?

Or casual stuff?

[white pebble]

dunno abt syllabus, ik some prepa year 2s that do bourbaki for the problems

[wooden sparrow]

Ohh

[valid moth]

which book

[wooden sparrow]

Saw about bourbaki, math prank of the century I believe

[white pebble]

fma best

book

[wooden sparrow]

What's FMA?

[valid moth]

fullmetal alchemist

[broken meadow]

haha funny

[valid moth]

that is the only thing i associate fma with

[white pebble]

first book of dieudonne's treatise on analysis

[broken meadow]

[valid moth]

its a serious answer

[white pebble]

foundations of modern analysis

[broken meadow]

force=mass*acceleration

[valid moth]

do you think i have any physics associations hanging around in my brain

lag

more lag

this is your fault metal

[tight crag]

Isn't Dieudonne part of Bourbaki?

[white pebble]

yeah

fma is a bourbaki

pretty sure dieudonne was the most active member in the old group

what a chad 😔✊

[wooden sparrow]

fullmetal alchemist
@valid moth that's what Google said

[white pebble]

alpha chad*

a beta would cry and move countries

[valid moth]

a beta (particle) would have a range of about one meter in air

[radiant crown]

while Dieudonné was >2m tall

[smoky surge]

does anyone have a recommendation on a calculus based probability book they like?

[quartz pawn]

Sheldon Ross Intro to Probability is one, if you're just talking calculus and not an analysis based approach.

[faint parrot]

@quartz pawn Hi

[quartz pawn]

@faint parrot Hey

[faint parrot]

@quartz pawn How are you?

[quartz pawn]

@faint parrot pretty good just chillin in server.

[limpid gazelle]

What’s an analysis based approach probability book?

[faint parrot]

Um

[quartz pawn]

There's one that I want to give a shot at It's called Real Analysis and Probability by R.M. Dudley

Starts with teaching analysis and moves to using that foundation to teach probability.

[limpid gazelle]

Oh ok lemme check that out

[quartz pawn]

I've heard good things about it.

[faint parrot]

@valid moth What are you saying exactly about a beta particle?

[smoky surge]

i have never taken analysis

[quartz pawn]

It teaches you analysis. But the problems are kind of sparing. It seems to teach you just enough so that you can use it for probability.

[smoky surge]

thats generally probably the only analysis i would want to know

[quartz pawn]

There's another one too. It's a springer text. It's called Probability Theory by Borokov

[smoky surge]

ill look at each of them thank you

[quartz pawn]

Borokov you're better taking a class in analysis first before trying to tackle it lol.

[faint parrot]

I can pin this

http://assets.cambridge.org/97805218/09726/sample/9780521809726ws.pdf

[smoky surge]

ok good news is z library doesnt have borokov so ill do the RM dudley

er

the Ross one

i think the dudley one might be too hard as a first course no?

[quartz pawn]

Oh yea for sure.

[faint parrot]

Yah

[quartz pawn]

I was thinking just try Ross lol.

[smoky surge]

yea ill do Ross

thanks guys

[quartz pawn]

Ify ou want to learn calculus for the first time.

[faint parrot]

Yep

[delicate canopy]

which of the 4 introductory book would you recommend?

[smoky surge]

at some point ill probaly self study analysis

but i want that to be self contained i think

[quartz pawn]

The first two probably arent introductory I was just using them as a suggestion if you want to try to study probability with some analysis involved so you really understand the underpinnings of it.

[smoky surge]

i thought you said Ross was intro

with just calculus not analysis

Sheldon Ross Intro to Probability is one, if you're just talking calculus and not an analysis based approach.
@quartz pawn

[quartz pawn]

It is.

I meant the last two.

I mistyped.

[smoky surge]

ah ok

yea ill probably just start with Ross

thank you i appreciate the help

[quartz pawn]

Np

[delicate canopy]

or should i read all 4?

[quartz pawn]

Uhhhh depends on what you want to do

If you want to be a probabilist or statistician then you can probably read one of the last two books.

If you want to learn calc-based probability then just read Ross or this book https://www.probabilitycourse.com/

The second one I've heard really good things about and it's got videos to go along with and there is a students solutions manual roaming around too. I think. No instructors solutions manual.

[delicate canopy]

mmh.. i'm a cs student imploding whenever i see equation and not code.. the straightforward pick would be programmer's intro to math but it's kind of all over the place imo

[quartz pawn]

https://github.com/casrou/ProbToPdf/blob/master/Introduction to Probability%2C Statistics%2C and Random Processes - Hossein Pishro-Nik.pdf you can get a pdf of the second book here even though it's all on the website.

I haven't read this book but there is one that is called "Probability and Statistics for Computer Science using R".

If you're a programmer you may want to give that one a look.

[delicate canopy]

why probability and statistics in particular may i ask haha?

shouldn't linear algebra, or analysis be further top?

[quartz pawn]

https://www.wiley.com/en-us/Probability+with+R%3A+An+Introduction+with+Computer+Science+Applications+-p-9781118165959

I'm not privy to all the applications of prob and stats using for computer science, but I know it's used for algorithm analysis. That's really all I know though.

There's something called Markov Chains which is important and C.S. it gets used for but again I'm not exactly sure what for.

[delicate canopy]

ill write it down when i'll study probability!

thanks

[quartz pawn]

👍

[gray gazelle]

I heard Sheldon Ross is the standard for CS people.

[gray gazelle]

Has anyone read "Godel, Escher, Bach: an Eternal Golden Braid"? Would you recommend it?

Any reason why not?

Ah ok

I only know this one quote:
"Hofstadter's law: it always takes longer than you expect even when you take into accoumt Hofstadter's law."

[silk quartz]

I liked it, but it's not a rigorous mathematics book.

I don't think it's philosophy so much as a pretty creative exploration of self-reference.

[gray gazelle]

@gray gazelle I've read the first half of that book 3 times. I've never finished it.

The first half is really good. And it got me interested in logic (Although I'm not sure if that is a good thing 😛 )

But it is ultimately a book on philosophy.

[bitter raptor]

Good resources on graph theory? (Not just books, and possibly not payed)

[silk quartz]

I will say, it's been quite a while since I last read it.

[valid moth]

I thought you said it was bad philosophy @gray gazelle

what do you mean by This. But necessarily good philosophy then

ah okay

[hearty steppe]

Has anyone read "Godel, Escher, Bach: an Eternal Golden Braid"? Would you recommend it?
@Н.O#4896 great book. I wouldn’t call it a Philosophy book. It is kinda like a pop math book.

The first couple hundred pages are based on formal logic systems and developing the foundation to examine the recursive nature of the world around us. The book is mainly about exploring the recursive nature of self-reference and self-replication and tying that together with Godel’s incompleteness theorems

[gray gazelle]

Hey guys im fairly new here and im about to start freshman year, what book is good for calculus 1 and 2 (with precalc), and college algebra?

[pulsar aurora]

Any accessible textbook will probably suffice. A lot of people seem to recommend Stewart's Calculus for prepping College/University level calculus

However, I never used it to know

[quartz pawn]

Stewart's fine we used it my first year college.

[gray gazelle]

is this it?

[broken meadow]

yea

james stewart also has Early transcendentals too

which is... i don't know what the difference is

[valid moth]

i think you're an early transcendental

[broken meadow]

?

whats the earliest transcendental u know

[quartz pawn]

it just introduces logarithms and exponential functions early.

That's literally it.

[gray gazelle]

Can anyone recommend me a good book that isn't too hard to read for beginners and covers topics like chain conditions, lattices, etc?

Any stewart book in calc would be fine?

[quartz pawn]

Yea

[valid moth]

the earliest transcendental i know is your grandmother's roomate's grandfather's bunkmate's grandaunt's dog's former owner's great grandson's cousin twice removed's granddaughter's son's daughter's prom date

[gray gazelle]

Can anyone identify the math used here? What is the quotient mathematical structure? The square brackets are partial ordering but I've never seen anything like this before

And last question, can anyone also identify what this math is? Am I correct to assume it is type theory? If so- does anyone recommend a book on the topic?

[quick hornet]

the book is principles of program analysis if you werent aware

and the "quotient structure" is just the mathematical notation for a logical deduction rule

the top line is our givens, and the bottom line is our derived fact

[gray gazelle]

Yup, I'm trying to read principles of program analysis

Just trying to get some of the mathematical prerequisites out of the way

And that makes sense, its what I thought but just wanted to confirm

What kind of math is in the second image? That's type theory right? Are there any good books on that topic for beginners? I'm just finishing a book on abstract algebra, then going to read set theory.

[molten wave]

type theory

[urban slate]

theory

[wooden sparrow]

The

[hollow current]

T

[molten wave]

@gray gazelle there's a book called Types and Programming Languages, by Ben Pierce

[gray gazelle]

mniip

[molten wave]

gives a gentle introduction to type theory from a CS perspective

@gray gazelle no

[gray gazelle]

what kind of prerequisites do i need

to be your colleague

[molten wave]

@gray gazelle you probably wouldn't find any subeffecting mentioned there because in modern type theory we usually encapsulate that with monads and modal logic

[gray gazelle]

?

[molten wave]

@gray gazelle the former piece looks like it's dealing with Scott domains

[gray gazelle]

rude

[molten wave]

@gray gazelle read the app

[gray gazelle]

link

[molten wave]

[gray gazelle]

[hollow current]

[gray gazelle]

i am very confused

[molten wave]

that is 100% offtopic in this channel

[gray gazelle]

you can pm it to me or post it in #chill

lol

thanks

[bitter raptor]

Just asking again since i didnt get an answer, but could you recommend some good free resources on graph theory?

[gray gazelle]

@bitter raptor yes

[bitter raptor]

Woo, thanks poly...

[gray gazelle]

no problem

[hollow current]

@bitter raptor i have not checked MIT's lectures, but i know that they do have

[bitter raptor]

Oh yeah true

I remember seeing a few from mathematics for computer science

Can probably find a more focused one though

[hollow current]

why are you still warned

[bitter raptor]

Because i used the r slur too much

[prisma snow]

You might get banned if you tell me, but what is the r slur?

[gray gazelle]

the only r slur that possibly comes to mind is the verb that means "to delay"

[gray gazelle]

@limpid gazelle shiryaev probability is pretty good and right now reading An Introduction to Probability Theory and Its Applications, vol 2 has all the measure stuff and probably you can jump into vol 2 after like 250 pages of vol 1 imo which are pretty easy. But if you know analysis shiryaev might be better but its pretty hard

someone ping him he might have blocked me by accident

[shadow nebula]

they have studying role so I pinged them in #bots

[gray gazelle]

@bitter raptor Depends on what do you want to do with graph theory? Is it for a class?

[bitter raptor]

Personal studying

Also @prisma snow think of being late in french

[prisma snow]

Lmao, got it

[gray gazelle]

Is there a book that basically encompasses all the basic abstract algebra? Is the Lang one a good start? I understand the concept of groups and so on, I am just looking for a "all-in-one" algebra book with all the rigorous definitions, that covers all the basic objects and notions of abstract algebra

[molten wave]

Lang is a reference book

not suitable for first exposure

[gray gazelle]

Well, I just want one with all the definitions and lots of exercises to practice on, are there any better than Lang's?

I have like basic grasp of linear algebra and familiar with relations, functions etc, is it not enough to just kind of start with basic definitions of groups and so on?

[stray veldt]

it could be enough

dummit and foote is not bad

it's a bit slow in the beginning

[gray gazelle]

Ok, thanks

I think it depends how sophisticated you want the book to be.

Just browse your local library, pick one and do the exercises.

[coral kettle]

i studied using gallian

[quartz pawn]

I feel more peopel would read that if they had better pdfs for it.

I got this other abstract algebra book by herstein that he came out with post topics in algebra called "abstract algebra" but haven't bothered reading it.

Got it as a gift.

[limpid gazelle]

@gray gazelle @shadow nebula thanks

[gray gazelle]

The bible

[broken meadow]

well

damn

[valid moth]

@molten wave smh who says you can't use lang as your first algebra book

[wooden sparrow]

@molten wave smh who says you can't use lang as your first algebra book
@valid moth I tried it, It's difficult to get used to

[valid moth]

you must be talking about basic mathematics

i was referring to lang's algebra (abstract algebra)

[broken meadow]

lang's prealgebra when

[valid moth]

lang's basic mathematics

is that

[broken meadow]

oh

ic

[valid moth]

lol

[gray gazelle]

Lang's collected works

[valid moth]

lang lang's algebraic geometry when

speaking from experience gabe?

[broken meadow]

arch should i start learning abstract algebra from a book or should i wait till after my intro proofs class

[valid moth]

just do it from a book why not

[broken meadow]

ok

[valid moth]

even if you dont finish you'll be better prepared for the class

[broken meadow]

true

i take abstract algebra intro class in spring semester so like

[valid moth]

that way you'll be in the top 10% in your class and will be able to flex on the 80th to 89th percentile nerds

[broken meadow]

should be a good idea

ah yes

yeah actually that's a really good idea

lemme see if i already have a book on me or if i should find a different one

[valid moth]

x(f)

[gray gazelle]

Jesus that's ugly

[broken meadow]

i dont get it

[gray gazelle]

That's how he writes it

I suppose

[gray gazelle]

@valid moth so, is Lang's Abstract Algebra a good start then?

why is it not a good start though? It seems quite rigorous and clear, I guess if I am stuck on a particular definition or chapter I can always google or ask on discord, why is it so bad then?

Or maybe I am confusing it with Lang's Undergraduate Algebra

Yeah, Abstract seems more hardcore...hmmm...

[quick hornet]

yeah lang's algebra is written for a graduate course

or to be used as a reference

his undergraduate algebra is more approachable

[gray gazelle]

Oh, ok, I just remember watching a video where quite famous and legit Russian mathematician was saying that Lang's Algebra is "the shit" and best algebra book ever, perhaps he was sarcastic, I don't know, it was a weird vid...

[valid moth]

no you shouldn't actually read it as a first course lol

why would you do that

are you trying to become gabe

[gray gazelle]

oh, I thought I can just sort of delve into it and be fine, probs start with Undergraduate Algebra then

For some reason I find it more intuitive, some of the ideas in abstract algebra, although I still struggle with multivariable calculus

would you call abstract algebra mostly a discrete part of maths or you can't really put it in such dichotomy?

[trim narwhal]

Do you know any good book for starting Calculus?

[rotund sphinx]

https://g.co/kgs/m5rtwq

I am taking a Calculus course in uni, and this is the book we are gonna be using

I think it's pretty good so far!

[trim narwhal]

Seems good, thanks

[rotund sphinx]

https://g.co/kgs/NvqpEq

Here is another really good book you could follow

[faint parrot]

@rotund sphinx Nice profile

Doraemon

🙂

@broken meadow Math Major?

[broken meadow]

yes

math major and possibly computer science double major and possibly jazz minor

[wooden sparrow]

How do people have energy to learn soo much everyday?

[broken meadow]

idk

i know i don't

lmao

my motivation comes from having good teachers

for me it's pretty hard to motivate myself to work for myself unless i absolutely need to

[hollow current]

my motivation comes from knowing that if i study less probability that some bastard will prove riemann hypothesis before me increases

[broken meadow]

kekw

i have no dreams like that

since i am dumb

[hollow current]

\j

[wooden sparrow]

Imagine just doing math for fun and you accidentally solve million dollar problems with nonchalance

[broken meadow]

that would be cool

[faint parrot]

But I want to learn

🙂

I'm lazy

[lost fjord]

I get distracted really easily. Instead of sticking to my agenda, I start playing games or doing random problems I find online all day

[hollow current]

Imagine just doing math for fun and you accidentally solve million dollar problems with nonchalance
@wooden sparrow and then you even do not notice that and throw paper in trashbin as not being worthwhile

[quartz pawn]

@lost fjord lol i used to have this problem.

I'm getting better about it now.

[wooden sparrow]

Imagine mathematics institute collects your trash papers like neckbeards collect belle Delphine's bath water

[faint parrot]

Existence is hard

[lost fjord]

I think mine is getting worse lol

[quartz pawn]

It definitely affected my grades in collge. But now that I'm going back and learning at my own pace I'm doing alot better. I don't know. I'm strange. Not having to worry about homework to be turned and not being forced into doing work has caused me ot be more ... focused.

it's strange.

[lost fjord]

weird

[fleet jacinth]

It definitely affected my grades in collge. But now that I'm going back and learning at my own pace I'm doing alot better. I don't know. I'm strange. Not having to worry about homework to be turned and not being forced into doing work has caused me ot be more ... focused.
@quartz pawn You're not the only one, believe me

[hearty steppe]

I feel the same way generally @quartz pawn now that I’m home schooling myself basically

[dapper root]

I am the exact opposite

I have moments where I'm hyper focused on my own

but having pressure of assignments is much better for me long term

[broken meadow]

^ likewise

[crystal compass]

Any book on Differential equations?

[faint parrot]

um

[sage python]

@sweet lotus just do what I do and have your advisor as pressure 🙃

[faint parrot]

@sage python Sounds bad tbh

[sage python]

It's great it means you actually work lol

He's not like applying pressure on me in a mean way for reference

But like I meet with him frequently so in my mind I'm like

Gotta get work done for the meeting ahhhh

One thing we started doing to help me focus is setting reading targets

Since really right now I'm just doing reading, not there yet for research

[faint parrot]

Why would you need pressure to focus?

[sage python]

Maybe ADHD idk

[faint parrot]

hm

[sage python]

But yeah I'd just dillydally and waste a ton of time if I didn't have some semblance of structure/deadlines

[faint parrot]

My bad habit

[white pebble]

woa

[faint parrot]

not pip

[white pebble]

[faint parrot]

you should Block me

If you hate dms

or pings

Okay

I do this on a different sever

[sage python]

y tho?

[faint parrot]

and that habit remains

[gray gazelle]

I like incessant dms and pings

[long bear]

[broken meadow]

[faint parrot]

But mainly because I'm have gotten too involved in memeing in the politics section

of a different server

[broken meadow]

discord server

politics channel

[faint parrot]

lol

[broken meadow]

sounds like a garbage fire to me

[long bear]

Anyways you're blocked now. Fuck you and your entire lineage.
@sweet lotus

[faint parrot]

5 layers of irony

[long bear]

epic

I'm gonna say that next time I block someone

[faint parrot]

Go for it

Damon

[long bear]

whatt

[faint parrot]

Do it only if you are super pissed

[gray gazelle]

[urban slate]

you guys have some interesting thoughts about books

[pale oasis]

are there any math books which have a lot of solved problems

[long bear]

what kind of math

[weak fossil]

Hey guys, could a kind soul please put on their eyepatch and row the boat to the bay and see if they have a Beginning and Intermediate Algebra, Fifth Edition, by Martin-Gay laying around? I've got 4th ed and 6th ed but I really need that 5th ed. I checked on libgen and I can only see 4th ed

[valid moth]

eyepatch... row...

the bay

[faint parrot]

lol

[broken meadow]

🏴‍☠️

[stray veldt]

just use libgen

[broken meadow]

I checked on libgen and I can only see 4th ed

[stray veldt]

use libgen better

[white pebble]

what's the difference between 4th, 5th, and 6th ed

[stray veldt]

the edition mostly

[broken meadow]

maybe for homework problems its different

[white pebble]

all blown out versions of 4-5 methodologies that should be shortened to 1 page

[broken meadow]

for ease of matching with professor's assignment

idk

[white pebble]

[marble solar]

@pale oasis try schaum's outline

[pale oasis]

thanks I should have specified other than schaums outlines since im using schaums series books currently

[hearty steppe]

schaums is ok

probly best for a course like Probability and Statistics

[gray gazelle]

Hey guys, could a kind soul please put on their eyepatch and row the boat to the bay and see if they have a Beginning and Intermediate Algebra, Fifth Edition, by Martin-Gay laying around? I've got 4th ed and 6th ed but I really need that 5th ed. I checked on libgen and I can only see 4th ed
@weak fossil try b-ok

[weak fossil]

Thanks I'll try

Woop found it thanks

[white cradle]

any good algtop books appropriate for a third-year undergrad?

i think last time i tried... hatcher i think it was? i gave up on it bc i lost motivation or something it was too much for me

ping me if yall have recs lol

[valid moth]

@white cradle dami seems to recommend rotman a lot

so

that is my proxy rec

[granite sluice]

@white cradle I think Lee's book on topological manifolds is readable . doesn't go as in depth as Hatcher but covers some good stuff iirc.

[dapper root]

That's not really that in depth at all Lorenzo

I imagine if ann wants an AT book she wants one that's like in-depth and covers it expansively

Lee will only give you some basic stuff which comes in handy for a lot of topology stuff

[granite sluice]

yeah but iirc it covers homology and stuff

not saying its the end all book ofc

but its much easier to read than Hatcher

[dapper root]

All I can say is if an issue was losing motivation because something was too much, ignore anyone who recommends "A concise course in..."

[granite sluice]

Fact. I'm recommending Lee because it was the book I used when learning this stuff, before reading Hatcher. I think it's a really nice book. Does pi_1, covering spaces, homology ...

But yeah I never got to the level in AT where I found May's book readable.

[dapper root]

I was recommended that by my AG prof

lol

[granite sluice]

:_(

https://sites.math.washington.edu/~lee/Books/ITM/contents.pdf

[gray gazelle]

what are some good algebra 2 books?

[outer carbon]

Algebra for dummies

[gray gazelle]

@outer carbon dummies books feel a little slow, any other suggestions?

[wooden sparrow]

@gray gazelle AOPS

I'm doing intro to Algebra now

[gray gazelle]

AOPS?

[wooden sparrow]

Art of problem solving

[gray gazelle]

i am a grade 10 student

[wooden sparrow]

Okay? It's meant to teach you math by doing problems

[gray gazelle]

i look into it

[wooden sparrow]

Check in Z library

You'll find few copies, not all though... Sadly

[gray gazelle]

thanks

[celest robin]

Could somebody recommend me book(s) to complete/brush up before taking calculus 1 in uni?

[white pebble]

stewart?

[gray gazelle]

if it's for a rigorous pure math class, spivak is a nice read

you might be able to find recommendations by looking at the pins or by searching

[white pebble]

nah but he needs a book to use before the actual class

[gray gazelle]

let me rephrase very slightly

spivak isn't exactly a "brush up on material" book unless you already know the stuff, but i will never not recommend it in the case that there is any chance that the person is taking a pure math calc course

if they aren't then stewart lol

[white pebble]

isn't calc 1 the easiest calc class in the sequence

[jade anvil]

Hi, i'm studying computer graphics, and I want to improve my geometry knowledge (for cg). My geometry knowledge is limited to high school level at the moment. Is there any recommended book(s)?

I usually prefer a book that jump right into the meat, rather than digressing from the main topic with stories and narrative. For example, I do enjoy books like Lang's Linear Algebra (although i would prefer some of the content to be a bit more elaborate).

[dapper root]

What kind of geometry

Just saying geometry doesn’t help too much, because there’s a lot of things it can mean

If you’re doing it for CG maaaaybe look a little into computational geometry?

It’s mainly about polygons, and operations you can do on them and is used widely in computer settings

[white pebble]

[granite sluice]

@jade anvil maybe this and references here will help: https://en.wikipedia.org/wiki/Geometry_processing

[jade anvil]

actually I don't know it myself, since I am not familiar of list of topics in geometry. However, I would like to read comprehensive books on geometry that are meant for foundation in computer graphics... if any

[granite sluice]

usually if you want to learn a topic, its effective to pick a textbook in that topic and start reading it. here are some recs: https://math.stackexchange.com/questions/400093/books-for-geometry-processing

Then you can either look in the prereqs (usually listed in the introduction) or start looking up words that you dont know. @jade anvil

[prisma snow]

What's a good book for someone who has already done complex analysis to review it? I didn't use a textbook the first time around, but lecture notes.

[limpid gazelle]

Damn that's a nice link @granite sluice thanks

[granite sluice]

my secret to success is to google: "whatever I want to know" + stackexchange

[limpid gazelle]

👀

Nice

[valid moth]

how to get a weeb gf stackexchange

https://puzzling.stackexchange.com/questions/52747/help-me-find-my-girlfriend

@granite sluice your secret to success is a sham

i still don't know how to get a weeb gf

all they gave me was a puzzle

[shadow nebula]

you have to solve the puzzle to get your weeb gf

wait the post is answered

[valid moth]

in the local library

but

i can't go to my local library

[drowsy arrow]

ahhhh i want to read a book but lazy

i just finished basic geometry on khan d y guys have any book recommendation

[long bear]

@prisma snow preemptive fuck off

[prisma snow]

That's a little vague. On what topic? Geometry?