book-recommendations

[analog pollen]

Also rigorous

[lapis sundial]

Yeah I've heard of sakurai, may have a look hehe

Thank

[lofty sluice]

Is there any book that specifically goes over the mathematics of program like zbrush,blender, Maya ?

[analog pollen]

You might want to have previous experience with qm, idk if you have tho

[lapis sundial]

I have some previous experience ig ye

[analog pollen]

Oh then I think you would be ok

[lapis sundial]

sweet

[analog pollen]

Bc it’s graduate level

Atleast that’s what I have heard about sakurai

[lapis sundial]

O sure

Tbh might be overkill lol no idea whether I'll end up doing much qm anyway aha

[analog pollen]

If you went through a book like shankar you’ll be fine ig

[lapis sundial]

Ye sure thank

Are you a physicist yourself or a mathematician who's done some phys lol

[analog pollen]

Went through some qm in my free time

I’m not a physicist haha

[lapis sundial]

Oh sure fair dos lool

I am a physicist as it stands but trying to change to maths for next year lol, still doing a qm module tho

:)

[analog pollen]

Why do you want to switch

[lapis sundial]

because I enjoy maths more rly

[analog pollen]

Ahh

[lapis sundial]

wanted to swap since I started the degree but wimped out xd

[analog pollen]

Well good luck mate

[lapis sundial]

Thank

[analog pollen]

Hope you can change ur major

[lapis sundial]

cheers

maths is cool

[forest sleet]

There's books by Hall and Teschl that are actual math texts on qm

They require a decent amount of math (real/functional analysis, maybe some Lie algebra for Hall)

[lapis sundial]

ye sure cheers

I mean it seems most good qm books will/should invoke some lie alg tbf

I do not know any yet tho

[forest sleet]

I think Teschl only needs analysis, but his main focus is spectral theory in qm

[lapis sundial]

smth to read up on eventually :)

ah sure

[forest sleet]

Whereas iirc Hall is a longer book

[lapis sundial]

Oh sure

[next egret]

Not looked at it myself but may be something along the lines you are looking https://www.cs.trinity.edu/~jhowland/class.files.cs357.html/blender/blender-stuff/m3d.pdf

[crystal lion]

is there a correspondence between these three classes and:
intro to manifolds by tu
diff geo by de carmo
lee intro to smooth manifolds

[tranquil ocean]

Uhh, not really. I'd say that the second and third course look really similar and are both basically contained in Lee

Do carmo contains most of the first

[crystal lion]

I see

[gray gazelle]

the third one could be literally anything

"contents vary from year to year"

[crystal lion]

yea i didn't see that part

also 18.952 and this are like the same thing right?

the recommended textbook for this class is munkres analysis on manifolds but i feel like this book also covers 18.952

[gray gazelle]

they're not the same

18.952 covers a lot more than munkres' analysis on manifolds does

well ok maybe not a lot more

i always forget that book does a decent amount of de rham theory

[crystal lion]

ok i see

idk why 18.952 says "multilinear algebra" in the description when 18.101 doesn't

but it's implied that 18.101 covers it too

maybe 18.952 goes more in depth

[sage python]

There's prob not much depth to multilinear algebra lol

It's more like

Multilinear algebra is step 0 in doing differential forms

"Analysis and Manifolds" is a book about doing calculus/analysis on manifolds

Probably the end goal is Stokes' theorem

So you care about defining differential forms, integrating them, then proving Stokes' theorem

In the dedicated class on differential forms

You're thinking about how you can understand topology on manifolds through differential forms

[gray gazelle]

multilinear algebra 😪

[solemn rover]

multilinear algebra is great

One of the coolest theorems of multilinear algebra:
if T: V -> V is an endomorphism of a finite dimensional vector space, and $\Lambda(T) :\Lambda(V)\to\Lambda(V)$ is the induced graded endomorphism of the exterior algebra, then the trace of $\Lambda^k(T) : \Lambda^k(V)\to \Lambda^k(V)$ is the $k$-th coefficient of the characteristic polynomial. so you can read off the coefficients of the char poly by computing the traces of these maps

[hasty eagle]

diligentClerk

[solemn rover]

i don't really have too much intuition for why this works tho, if somebody wants to explain why this works on an intuitive level I'd appreciate it

[gray gazelle]

diligent clerk, who are you?

i don't know you

i think

unless i've been gone too long and i don't know you just because you changed your name

wtf i didnt know this

thats neat

[solemn rover]

i'm new to the server, I joined like a week or two ago

[gray gazelle]

wow, and you are yellow already

maybe ill try proving this tomorrow

hmmm

[solemn rover]

yeah like obviously $\Lambda^1(V) = V$ and $\Lambda^1(T)=T$, so the trace of $T$ is the trace of $\Lambda^1(T)$ of course, which is the coefficient of the leading term of the char poly, and it's not too hard to see that if $V$ is of dimension $n$ then $\Lambda^n(T) : \Lambda^n(V)\to\Lambda^n(V)$ is just scalar multiplication by the determinant, so its trace is the determinant

[hasty eagle]

diligentClerk

[gray gazelle]

i wish i could know what this means, but i am not multilinear algebraic enough to know what graded endomorphism of exterior algebra means

[solemn rover]

but idk how to extend this to intuition for the coefficients of the terms in between

ok. how much multilinear algebra do you know?

like do you know what the tensor product of vector spaces is

[gray gazelle]

do you have a reference for this result

wait let me try googling first

[solemn rover]

https://en.wikipedia.org/wiki/Characteristic_polynomial

[gray gazelle]

[gray gazelle]

i said "i wish i could know what this means", but in reality it's more like i wish i could know it without making my brain work. these days it is too hard to make my brain work

[solemn rover]

Haha yeah i know the feeling. i happen to be awake right now and able to focus but it's on and off

[solemn rover]

i think i've been in the server on and off before for brief periods of time and people remembered me from previous times i've been on

[gray gazelle]

ah, i see

[gray gazelle]

to be fair who thinks about the terms that aren't the constant one or the degree n - 1

[solemn rover]

amen

[gray gazelle]

i think i saw diligentclerk here quite some time ago (a few months?)

https://math.stackexchange.com/questions/131883/proving-that-the-coefficients-of-the-characteristic-polynomial-are-the-traces-of

prove it over C using a density argument

[solemn rover]

i want to be able to find a proof which doesn't rely too much on a choice of basis, but like, it's also somewhat obvious that you have to use a basis because it's a result about finite dimensional vector spaces so it follows that any proof must use somehow use the fact that the space has a finite basis

i guess what i mean is something more illuminating than matrix calculations

[gray gazelle]

yeah i get what you mean

just sweep it under the rug as much as you can

[solemn rover]

i recently TA'd for an engineering professor who taught the students about tensors using exclusively Einstein summation over higher dimensional tensor indices and like, Levi-Civita symbol, Kronecker delta, etc. Essentially no abstract treatment at all. learning the computational style was a huge adjustment for me

[flint forge]

gross

[solemn rover]

everything was like $a_{ijk}b_{jik}\delta_{ij}\varepsilon_{ik}$

[hasty eagle]

diligentClerk

[solemn rover]

i couldn't read any of it

[gray gazelle]

lol

[flint forge]

terrible

[solemn rover]

i felt really bad for the students because how do you prove a geometric result like "every rigid transformation in R^3 is a composition of a reflection and a rotation" using that computational style

[manic fox]

multi-indexing makes a subject more rigorous.

[solemn rover]

he actually got mad at me at one point because i was too lenient grading their exams lol he was like "your grading is inconsistent with mine, now we have to start over". he cut my average down by like 10 percentage points

that was a weird class to TA for

[manic fox]

bruh

my dad had an engineering ethics prof who was literally satan

[solemn rover]

i hated my engineering ethics class so much. Jesus christ. It was a mockery of ethics

I mean I don't consider myself to be very philosophically inclined but that class was a joke. It was that scene of Jim Carrey screaming "Don't break the law, asshole!" into a phone for 2 months

like, Volkswagen's engineers deciding whether to forge emissions results is not really an interesting ethical question right? It was just straight up illegal

[manic fox]

the law is moral.

[solemn rover]

but that's the kind of shit we focused on

[manic fox]

lol

[gray gazelle]

obviously i dont' know the whole story, but i agree with your professor generally, it would be bad for the students if exams were not graded consistenly

[solemn rover]

we absolutely did not focus on like, the question of whether it's ethical to go off and work for a defense contractor after you graduate and design cluster bombs, because that would have pissed off like half the graduating class

[gray gazelle]

i never took an engineering ethics class, is that what it's supposed to be about?

[solemn rover]

at one point somebody asked a question and he shrugged and said "There's no right answer". I was like bruh we are learning about Kant and Hume in this class, do you think Kant would have said there's "no right answer" to that question

give me a break

[manic fox]

kant is the

utilitarian crank right

[solemn rover]

I do not think Kant was a utilitarian. Jeremy Bentham was a utilitarian. Later Mill also wrote about utilitarianism

[gray gazelle]

kant sounds very much the type to say there is a right answer about ethics, but i would not say this means there indeed is a right answer about ethics

[remote ginkgo]

wtf are the k-forms of a matrix

[gray gazelle]

,w k-form of a matrix

[hasty eagle]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by 88ddda#7872

[manic fox]

google exists nerd

[sage python]

Kant and Aristotle kinda just won morality

Like I'm pretty sure one of them is right

[marble solar]

It's Kant

[remote ginkgo]

disagree

[uncut zealot]

Kant is probably the most famous deontologist. He is very much not a utilitarian.

[halcyon garden]

What If you define utility as a metric of categorical imperatives followed?

[half mountain]

any link to real analysis notes??

[gray gazelle]

http://www.math.louisville.edu/~lee/RealAnalysis/

[viral scroll]

Are all of you talking bout me ?

Just maximize utility and stop whining

[vivid parrot]

Does anyone here know any good books to learn like mathematical formulas for someone trying to get into quantitative finance? I have been trying to learn how to code for algorithmic trading but I keep coming across algebra in the books I've been reading...

[willow pecan]

What do you mean by coming across algebra and why is this bad?

[eager stump]

usually the fact that you're coming across mathematical justifications is good. don't believe anything you can't try for yourself

[willow pecan]

Yeah you're not going to get a book that just states formulas without any sort of surrounding mathematics

[lofty sluice]

@next egret TYVM

[flint forge]

on another level

it is very bad practice to like

implement financial algorithms

if you understand literally none of the math behind themn

lol

best case you screw yourself

worst case you screw someone else lol

[mental hamlet]

So far I've completed an intro linear algebra class and undergraduate calculus up to series. What would you guys recommend for someone at my level? I went through Discrete Mathematics - An Open Introduction and could understand it pretty well, but then tried Herstein's Abstract Algebra and struggled to get through the exercises in the first chapters. I don't have a strong preference for subject. I'm just bored during the summer and am looking for something mathematical to study.

[flint forge]

uh

I think Charles Pinter's abstract algebra

is a really readable and nice intro

that isn't very painful

its a little slow

but like you said its the summer anyway

[mental hamlet]

I'll check it out. Thanks!

[somber mica]

I found Fraleigh’s Intro to Abstract Algebra really approachable. He puts a lot of effort into motivating the definitions and theorems

[mental hamlet]

Ty! I might reference that one along with Pinter

[gusty smelt]

artin.

[crystal lion]

why did lang write a textbook for every undergraduate topic

are any of them close to as famous as Algebra

[manic fox]

theyre all bad

[willow pecan]

They're all bad

Actually

[tranquil ocean]

I don't think any of them are as famous as Algebra, but I've used some of his number theory textbooks a few times and they're pretty good

[hearty steppe]

bruh Lang ain't bad

I like his LA content

[willow pecan]

Lang's Algebra book is quite bad

[hearty steppe]

he has a weird proof writing style but I feel like I kinda understand it

[smoky surge]

Axler ganggggg

[willow pecan]

I've heard no one say anything good about it

[tranquil ocean]

Is it bad? I mean I agree maybe its not optimal for a first read but

I've used it to review Galois theory and homological algebra both and the book was great for that

[willow pecan]

These were people in intro grad algebra

[hearty steppe]

i mean, there are a few people here and there especially on my friends list that will vouch that Lang isn't bad

[willow pecan]

So not a first read

[hearty steppe]

I think people don't like the way he formats the material he covers.

idk, I don't relate entirely. But I only checked out one of his undergrad LA texts a little

[tranquil ocean]

The way homological algebra is presented in Lang is super good imo

[hearty steppe]

what book is that

the GTM text?

[fluid bay]

Lang, hungerford, and aluffi are all memes in their own special way

[hearty steppe]

every math book author is or becomes a meme eventually

[manic fox]

[sage python]

I feel like I've liked Lang at a glance

[hearty steppe]

I don't think there is a math book I don't like yet. Lol

[primal summit]

I thought lang LA was good

[manic fox]

loser algebra

[gray gazelle]

part of developing mathematical maturity is developing a sense for shit books

[manic fox]

[gusty smelt]

like DF

[manic fox]

deez futs

[lapis sundial]

(what does df stand for sorry lol)

[manic fox]

deez nuts

[gusty smelt]

the worst math book thats popular.

[manic fox]

df and d&f refer to dummit and footes book for algebra

very dry

very boring

[lapis sundial]

O fair lol

[sudden kindle]

@slim nacelle What's a good supplement to Szamuely ch4 to learn AG because i dont think learning AG from Szamuely for the first time will be a pleasant experience

[slim nacelle]

Hartshorne

I guess it depends on what your goals are, obviously what I recommend for learning just enough now versus a proper amount later will be different

I do think reading the first bit of Mumford's red book might be good at this point, if you want to get acquainted with the basics of schemes

actually reading the red book in general is probably a good recommendation, it's nice

[sudden kindle]

My prof said Liu arithmetic geometry and algebraic curves, and Shafarevich

[misty wyvern]

I got recommended Liu and told that even my smol brain could handle it

thoroughly second Liu

[slim nacelle]

lol

Liu is good but it's not easy either

[manic fox]

liu more like ew amirite or amirite

[crystal lion]

so apparently rudin had a bunch of supplementary pictures but they cost too much to typeset for the publishers…

[sudden kindle]

wow

[manic fox]

so true

[primal summit]

Bestie

[manic fox]

[willow pecan]

More reason to get rid of the publishing industry

[tulip blade]

whats a good intro grad algebra book?

Ive used DF for some undergrad algebra and it was ok.

just so many examples it gets kind of annoying.

[valid moth]

try lang

[frigid comet]

Lang is my grad algebra reference of choice, but maybe my tastes are weird as I am an analyst by trade, also I stress reference rather than intro, although it starts with simple things it is big rudin-like.

When learning some of those topics for the first time I also enjoyed Hungerford's books

although I remember distinctly disliking things about his field theory sections

[tulip blade]

why is aluffi such a meme?

[frigid comet]

very categorical

debateably at the cost of obscuring some intuition at the beginner level

when working with the simplest objects in the book the treatment is categorical for the sake of being categorical, which is fine as a philosophy and I respect the consistency.

[tulip blade]

Ill check out hungerford

i like exposition does that book have well written?

[frigid comet]

but I don't like it pedagogically, I think its easier to pick up category theory after being comfortable with algebraic objects so you have built up lots of examples for why we should care about certain constructions/generalisations.

[tulip blade]

Im looking just to have a solid background in basic algebra so I can go on to more advanced topics like comm. algebra, rep theory etc if necessary. I plan on doing TCS/combinatorics but depending on where I go in those fields it can involve a lot of algebra or very little.

[frigid comet]

it's (hungerford) a bit less terse than lang from memory, but I don't think it is particularly verbose either.

[tulip blade]

yea D&F is kind of a bore.

[frigid comet]

yeah it's much better in that regard

[tulip blade]

and also a boar

[frigid comet]

I could never get into D&F

[tulip blade]

since its huge

[frigid comet]

yeah haha

[crystal lion]

yea gallian is better than d&f

[frigid comet]

never looked at gallian myself but I have heard that a bit.

[crystal lion]

@unique sundialllianhaters

[sudden kindle]

eh Gallian

im not a fan

[crystal lion]

join the bandwagon

[frigid comet]

it doesn't seem that advanced from looking at it

[crystal lion]

it’s written like a high school textbook

[frigid comet]

but maybe as a first book it is okay, idk

[manic fox]

so true

[frigid comet]

yeah I don't like that

[manic fox]

gallian is a book for people who just learned how to read

[crystal lion]

i liked it as my first math book

[frigid comet]

https://tenor.com/view/read-book-sleepy-boring-sleep-gif-13660152

[manic fox]

education dog.

[gray gazelle]

Lang algebra is basically unreadable, maybe okay as a reference

I can shit on lang algebra all day

[spiral night]

any thoughts on HRK's physics 5e? how comfortable should i be with vectors before approaching this book (is there calc 3 level vector stuff?)

[crystal lion]

in the second volume e&m and modern stuff yea there is

[spiral night]

oops i should've specified i was talking about vol 1

[crystal lion]

a lot of multi too

maybe for center of mass stuff

[spiral night]

i should be good with a strong calc 1 background, calc 2 integration techniques and surfaces/solids of revolution stuff right?

[crystal lion]

yea you should be good

[spiral night]

how do i approach the vectors in vol 1 though

is khan academy good enough

[crystal lion]

yea ?

iirc there’s a chapter on vectors

or maybe i’m thinking of when they introduce them

but in hrk vectors aren’t pulled out of thin air

[spiral night]

ah im looking through the book and it seems like they are describing some stuff

im guessing they do this kind of thing for every application of vectors?

yea it seems like they do, thank you for your help!

[manic fox]

sussy

[broken meadow]

gallian is okay and yeah reads like a highschoolers book

i dont really like it but its nothing wrong just

the way it is

[gray gazelle]

[misty wyvern]

Does anyone else do calculus the way that Sternberg and Loomis do?

Coverage very unique

[sage python]

What's their shtick?

[manic fox]

Calculating every integral and derivative from first principles

[misty wyvern]

Their shtick is teaching calculus students the Hodge dual

(and general calculus on manifolds)

[sage python]

Nice

[gray gazelle]

nice

[sage python]

Yeah checked it out and it's heavy. Honestly given how long he spends on integration he prob should've just done measure theory (doesn't seem like it)

[orchid pollen]

Hey y’all, I’m new to the server, but I’ve got a solid book recommendation. Linear algebra done wrong is a great intro text.

[sage python]

I've heard good things about it

[spiral night]

has anyone tried "the manga guide to calculus"

seems rather incomplete

[broken meadow]

i do not recommend that book

it's just

bad

[spiral night]

its horrible

yea

[broken meadow]

i mean sort of entertaining i g u e s s

but like

[spiral night]

from u sub to partial differentiation

in 2 chapters btw

[broken meadow]

content wise its really weird

i would not recommend

[spiral night]

is there an actual story going on

[tulip blade]

Manga guide to category theory

Or homotopy type theory

[gray gazelle]

i have read that but i still can't comprehend it because they're into entertainment instead of comprehension

walter "rudin" white's and spivak's are good ones so far

[storm sleet]

Did... did you expect something else?

"manga guide to calculus"

[gray gazelle]

not really

i just shared my experience

with reading that

maybe manga guide to calculus isn't comfortable for me to read

[spiral night]

manga guide to calculus is so horrible

im looking through it rn and it just looks bad

[lusty crystal]

Nani?!

[spiral night]

like come on how do you go from integration to partial differentiation in 2 chapters

the girl seems to barely know what a derivative is

yet they are doing partial derivatives??

[lusty crystal]

Please tell me someone pushes up their glasses while explaining the chain rule

[spiral night]

sort of

cursed

[gray gazelle]

let me buy that book to burn it

[spiral night]

he does the twinkle and then he says this

[lusty crystal]

Oh, it's a series

[spiral night]

so weird

[lusty crystal]

https://www.math.ucla.edu/~jerryluo8/teaching/Fall2018-4A/The Manga Guide to Linear Algebra.pdf

[gray gazelle]

i don't understand chemistry

[lusty crystal]

lol, ucla

[spiral night]

i dont understand inorganic chemistry

probably because my calc 3 skills suck

[gray gazelle]

たつけてください

[hearty steppe]

Learn physics along with chemistry

And thank me later

They’re actually both physics

[spiral night]

physical chemistry

[hearty steppe]

Btw

[broken meadow]

i am physics.

[hearty steppe]

No that’s just a subset of chemistry which is a subset of physics

So chemistry is actually a subset of physics basically

[gray gazelle]

is it covered in for the love of physics by walter "lewin" white?

[hearty steppe]

Just focused on molecular interactions

Uh well why don’t you start with a more straightforward book like University Physics by Young and Freedman and pair that with Chemistry by Zumdahl

They’re fairly self contained and compliment eachother

[gray gazelle]

good idea

thanks scat man doo i'll look to it

[spiral night]

atkins is also good

[hearty steppe]

Yea I’m powering thru them simultaneously

I’m at chapter 12 for Young and Freedman and Chapter 11 for Zumdahl and I started them last October

[spiral night]

nice!

[gray gazelle]

noice

[spiral night]

also oxtoby is good for chem if you like calc based stuff

[gray gazelle]

thanks for the recommendations

[spiral night]

np

[storm sleet]

any resources anyone know about for computational multilinear algebra?

[narrow talon]

Anyone know of any online diffgeo courses? Something first year following roughly Lee or Tu or that level

[empty pond]

anyone got recommendations for books on geometric algebra?

[storm sleet]

Geometric algebra for physicists is the one I've been looking at, but its a bit pricey

Just making sure; geometric algebra not algebraic geometry right?

[gray gazelle]

,w geometric algebra

[storm sleet]

Names are similar enough its always good to check

[prisma snow]

pricey

[empty pond]

Geometric algebra yea

Wowee

Pretty expensive yea

[prisma snow]

Unfortunately pirating books online is very bad and we shouldn't do that :/

[gray gazelle]

Yes it's tragic that my several gigabytes of books are all totally paid for and have left me in financial ruin

[outer stone]

I know finitary Galois theory and want to learn infinitary Galois theory. I found out about "Galois Theories" by Borceux and Janelidze which covers a lot more than just infinitary Galois theory, and the content seems interesting but scrolling through, it feels weirdly written, with no examples/exercises. Any other books that have similar content?

Weirdly written in the sense that basic facts about fields (like no non trivial ideals) were proved in ch2 while finitary Galois theory was in Ch1 😵‍💫

[manic fox]

lmao

🤗

[outer stone]

I know Milne covers infinite Galois theory (and I will fall back to that or Lang if no good recommendations), but the other stuff in Galois Theories seemed quite interesting

I am very intrigued by the "Non-Galoisian Galois theories"

[sudden kindle]

Nonrecomendation: Szamuely

[urban stone]

Hi, can someone recommend any book surrounding the statistics of Machine learning? More specifically when we produce estimators and the like. I already have experience with the ISLR book but its more focused on R than the theory side (although it is super useful in that regard). Our course is nearly coming to an end and I feel as if i still get a bit confused about the idea of "prior" and "Posterior" distribution when we make baysian estimations

Also does anyone know if the statquest books are good?

[narrow talon]

Bishop Pattern Recognition and Machine Learning is good for a more Bayesian perspective than ISL or ESL if that's what you're looking for?

[urban stone]

Ill check it out thanks

[vagrant spoke]

Hi, sorry if this is a spammed question. What book covers the foundational mathematics for ML? I came across "Mathematics for Machine Learning" by Deisenroth. Is there a book better than that?

[willow pecan]

What sort of mathematics do you need to learn?

[vagrant spoke]

Linear algebra for sure. Slept through that in college.

Probability/Stats (forgive me if they are not the same thing), and some geometry would be good.

Perhaps better to read Gilbert Strangs book for Linear Algebra, and then find good books for the other topics?

[willow pecan]

Sure, Strang for linear algebra sounds fine

I might suggest that you read Demmel's Numerical Linear Algebra as well for insight into how linear algebra is actually performed on computers

Peptidase also asked about stats several messages above and Probably_Jason recommended Bishop's Pattern Recognition and Machine Learning for some Bayesian stats

[narrow talon]

https://cims.nyu.edu/~cfgranda/pages/stuff/probability_stats_for_DS.pdf

Lecture notes on prob/stats for the course made for incoming data science grad students at NYU

Linear algebra from Straang plus this should be sufficient

Intro to statistical learning is also probably a better starting point then Bishop, but they’re complementary

[solemn rover]

this book covers monadic descent as well iirc. Haven't read it yet but i definitelt want to

[gray gazelle]

Hello I have been quietly observing conversations here, and recently I notice a fair amount of people agreeing with introduction to proof book are a waste of time. I was wondering does this book fall into that category.

[quick hornet]

that is the most famous intro proofs text, yes

im not 100% sure about waste of time, i think they can be useful especially if you dont have access to a prof to look over your proofs and keep you on track

(it can be really hard for new learners to determine whether their proof is actually sufficient)

but i do think a lot of students just dont need them

or would be better served learning proofs in context

like a proof-based calc or LA book (eg spivak)

[gray gazelle]

I see thank you

[timid musk]

I tried using Velleman (the proofs book), and I personally found it somewhat boring and hard to read. However, I've been hearing that the latter chapters of Velleman have some overlap with the early chapters of Spivak's Calculus.

I'm wondering if it would be efficient to stop at Chapter 3 of Velleman, and then start jumping into Spivak.

[karmic thorn]

It should be. As soon as you are familiar with basic set theory (sets, operations on them, functions, relations), you can proceed to Spivak.

[tulip blade]

I had to take an intro to proof class and i thought it was a waste having it for a semester but i was happy i learned basic set theory, relations, functions, cardinality and doing proofs involving those topics before algebra/analysis

[timid musk]

Interesting. I'm thinking if I should cover a bit more of Velleman, since Chapter 4 is primarily about relations.

[outer stone]

Yeah the content seems very interesting, but I am concerned about how it is written

[outer stone]

.

It also isn't using stuff like the first isomorphism theorem for rings but is using category theory

What level of cat braining is this

[gray gazelle]

Moldi is that your second account

[outer stone]

who?

[gray gazelle]

bruh you have multiple accounts?

[spiral gust]

Yes i do

[gray gazelle]

ohh you have changed the roles!

I thought this was a new account

[spiral gust]

Wdym?

[gray gazelle]

I was referring to him

not you

[spiral gust]

Lmao, “we” are the same

[gray gazelle]

really?

[spiral gust]

Yeah

[gray gazelle]

I find it hard to believe

[outer stone]

I can switch back and forth

can 2 different people do that?

[spiral gust]

Well? Do you still not believe me?

[gray gazelle]

ig I do

so you have a hentai persona to attract otakus?

[outer stone]

ah yes we were talking about Galois Theory books

😌

[manic fox]

wtf

saketh and moldi are the same person??/

[storm harness]

How am I involved with any of this?

[broken meadow]

clearly Coldilocks is the impostor

they don’t even have the verified check mark!!

[outer stone]

Yeah the delivery guy messed up, but it is here now

[broken meadow]

oh no

ok you two duke it out

the winner gets to stay

[storm harness]

Makes me sound very lonely lmao

[broken meadow]

lmfao

[manic fox]

durust farmaya

[past ice]

I'm currently avoiding my institute's mandatory intro to proofs course because it's stupid, but my first algebra course spent the first week on functions, sets, induction etc and that was enough.

[earnest gazelle]

what do yall think of rotmans intro to galois theory

we are reading it for class, hasnt got many reviews

https://www.amazon.com/Galois-Theory-Universitext-Joseph-Rotman/dp/0387985417

[gray gazelle]

Quick question.

About Spivaks book.

Does it cover calc 1-3 or just calc 1?

[earnest gazelle]

https://www.amazon.com/Basic-Abstract-Algebra-Undergraduates-Mathematics/dp/0486453561 what do you think of this book, for learning algebra

it is a lot shorter than dummit and foote but goes quite far conceptually for it's length

i want to read it so i don't get murdered in algebraic geometry and topology next year

[peak grail]

murder is a crime

[hollow peak]

why would you need algebra for topology

beyond basic group theory ig

[earnest gazelle]

i prefer textbooks that are short cause i never do 100 excercises at the end of every chapter in the abstract algebra textbook. I mean does anyone actually do that

ah ok i wasnt sure

i was told i need modules for geometry though (at the very least)

[gray gazelle]

yeah there was someone here who did like every single exercise in dummit and foote up to like the field theory part

[hollow peak]

my algebra book of choice is basic algebra by knapp

lots of nice exercises and good, straight to the point exposition

also lots of advanced linear algebra included

[earnest gazelle]

there is only 1 textbook where i did almost every excercise, that was tao's analysis volume 1, but there were only 5-10 problems at the end of every section so it was ok

[hollow peak]

its too much effort

If you do every exercise it becomes a chore

[earnest gazelle]

in my classes i get like 4 assignments, 1 every 2 weeks and there are 5-10 problems in them, i prefer that a lot to the textbook lol

seems like the shorter the class notes the harder the class is too, sometimes. Maybe im at the inflection point for that though and they will get longer again soon

[prisma snow]

I have not read this, but I am a big Rotman simp, so I assume it's brilliant.

[karmic thorn]

Tried to work through it, the pedagogy doesn't vibe for self study imo, but I agree it's super comprehensive and has good exercises.

[earnest gazelle]

looks good for a first course, i just went to the store and got my $100 copy.

[gray gazelle]

sell it and buy D&F

[earnest gazelle]

i already murdered someone by dropping it from my 9th story floor

I read pinter for my first algebra book. It was quite good but I was really annoyed that a lot of key information was deep in the excercises section

Thoughts on that textbook? Compared to other books for a first course on algebra

[hollow peak]

I think pinter is thought of as babby's first algebra book

so it makes sense that you felt key info was absent

nothing wrong with easy to read books imo given most books are a pain to really work through

[analog pollen]

Only 1-2

[gray gazelle]

Only if you get caught, if you don't then it's a mystery. 😬

[gray gazelle]

Well that's frustrating. . . Does Spivak have a resource for 3? Or do I look to another author for that?

[analog pollen]

Yea he has a book on only calc 3

It’s called something like ‘calculus of manifolds’

Something like that

[half mountain]

any book that is smilar to or different from cult than baby rudin?

delete the cult

[gray gazelle]

You can't just delete a cult.

[half mountain]

cult than is auto command from keyboard lol

[gray gazelle]

lol. . .

Guys, quick question here.

Well, its not EXACTLY quick but bare with me.

reason I'm learning calc is multi-faced, but lets just say for now I want to make a good video game and good games have good physics.

[primal summit]

Let U be the universe of books. Let x be baby rudin, and let A be the set of books that are similar to baby rudin. If B is the set of books different than baby rudin, then
B=U-A-x
Then let C be the set of books similar or different than baby rudin, then
C=(U-A-x) \cup A = U-x

[gray gazelle]

And calc is a good gateway to physics, yeah?

Are there any other maths besides Calc and Physics I should have under my belt for my game dev goal?

[tidal sun]

youtube.com

https://www.google.com/search?q=454,000+divided+by+12&spell=1&sa=X&ved=2ahUKEwjU9cLmhYbyAhXbwTgGHblhArgQBSgAegQIARAu&biw=1366&bih=657

[analog pollen]

It’s not needed lmao

Just read Wikipedia or something

[gray gazelle]

FINE.

[analog pollen]

You don’t have to learn for example what the tensor of inertia is for game development

I think Wikipedia would fit better

Also it’s free

[gray gazelle]

I don't know what the tensor of inertia is.

granted, game development isn't the only thing I want to do.

[analog pollen]

Well idk what the prerequisites for a study like that

But you say you want to now physics for good physics in a game

Well basic concepts are enough for that ig

[marble solar]

I think we need to go back to basics with physics

Toss out all this useless math

Physics is about how things move not fantasy land with functions

[marble gulch]

lol

[hearty steppe]

Physics is about how things interact. Math is like a middle man for this. There’s far more contextual abstraction that is way less solidified than mathematics. Mathematics has a pretty rigid foundation in comparison to physics imo

[zealous jetty]

good games have good-looking imitations of something that might vaguely look like physics

[marble solar]

I prefer to see how things move and develop and intuition for it

We need to go back to basics

[hearty steppe]

That’s why mathematical physics is a thing

Lol

Cuz many people don’t like phenomena that seem like magic

[fallen hound]

Maths that might seem useless and abstract now might have a use in future

and it has been proved countless times in history

we just don't have advanced enough resources to use that maths atm

[marble solar]

Oh yeah prove it

[flint forge]

Some day engineers will rely heavily on the homotopy groups of spheres

[fallen hound]

Complex numbers are an example of something that seemed too out of reality and was looked down upon in the past but as we know have uses today

[marble solar]

Show me a person that looked down upon it

And show me an example of something that's real that was built using complex numbers

Such that the thing that was built would have never been constructed if not for complex numbers or it significantly made it better

[eager stump]

Descartes

[fallen hound]

LOL

[marble solar]

You have a quote?

[fallen hound]

"We completely repudiate the symbol √−1, abandoning it without regret because we do not know what this alleged symbolism signifies nor what meaning to give to it"
~ Cauchy

[eager stump]

oof

it's well-documented yea

@marble solar

i mean we can go the rabbit hole of chasing the citations

[fallen hound]

Complex numbers make your life a LOT easier

for calculations and shit

[eager stump]

not sure if he's just messing around

[flint forge]

Existence u really don’t have to explain complex numbers to moonbears hahaha

[eager stump]

i think he's just yea

lol

[flint forge]

It probably is true that most contemporary pure mathematics

Is absolutely useless

To society

[fallen hound]

I'm stupid

[sudden kindle]

Except for isogenies of super singular elliptic curves which are going to be used for post quantum cryptography

[eager stump]

this is obvious

[analog pollen]

And trivial, so I will leave this as an exercise to the reader

[eager stump]

take a shot for every overused term in books

becomes raging alcoholic

clearly

[broken meadow]

Normal

[analog pollen]

takes gun kills himself

[eager stump]

from the well-known identity

[analog pollen]

it is easy to see

[karmic thorn]

[marble solar]

That's not descartes, that's someone summarizing descarete's position

Give me a document from Descartes that says this

[flint forge]

i think these do exist tbf

hes the most common reference for a cringe anti-C person

[marble solar]

I'm largely pulling the leg of the people that are responding

[eager stump]

:)

No harm no foul

[eager stump]

thankfully google is strong

Au reste, tant les vraies racines que les fausses ne sont pas toujours r ́eelles, mais quelquefois seulement imaginaires, c’est-`a-dire qu’on peut bien toujours en imaginer autant que j’ai dit en chaque  ́equation, mais qu’il n’y a quelquefois aucune quantit ́e qui corresponde `a celles qu’on imagine ; comme encore qu’on en puisse imaginer trois en celle-ci ...

https://www.gutenberg.org/files/26400/26400-pdf.pdf

[marble solar]

I'm glad you put it in french

cuz if it was in English

I would have asked about the translation

[eager stump]

yeah because any translation is shitting on his beautiful thoughts

[marble solar]

that's funny

[eager stump]

the accents are a bit misplaced, bad copy paste job

c’est-`a-dire should be c’est-à-dire

but one gets the gist

[marble solar]

yUh

I can read french

somewhat

[sage python]

Eh people from the 1700s were plebs at math anyway

[eager stump]

lmao hot takes

also ppl from the 1700s were plebs full-stop

[storm sleet]

some where

some were very not pleb

[crystal lion]

http://www-math.mit.edu/~rbm/18.155.html

is this course like

papa rudin stuff

[sage python]

Seems to assume measure theory and do more advanced stuff

[gray gazelle]

Kinda looks like a little of everything

Sounds like a weird course but probably fun

[gray gazelle]

(Might have been recommended already) Flatland, not a textbook but still a amazing book which (kind of) has something to do with math, terence tao read it as a child if that counts as advertising

Although be warned, some of the social commentary is very sexist in nature as it was written in the 19th century

[gusty smelt]

oh yeah i remember reading that, had a bit of cringe in it

[gray gazelle]

Certainly did, but all in all, I'd say it's a fine read.

[lament sage]

lol imagine thinking continuous implies differentiable

[quick hornet]

as much as flatland is remembered for its mathematical content, it isnt really the focus of the book

besides the basic premise, mathematics isnt really mentioned all too much

it really is a social commentary first and foremost

and certainly some of its messagery is dated, although it was still a fairly innovative way to approach social commentary for its time

not that weird ways of presenting social satire were unheard of back then - i mean, A Modest Proposal predates it by a century and a half - but still

the degree to which the setting existed solely to communicate its themes was fairly notable for its period

[cedar ridge]

this a book/book series?

[karmic thorn]

[cedar ridge]

i skimmed pinned brother, i dunno the context

[karmic thorn]

Ultra meant studying foundations of math before seeing a bit of other topics is mental mutilation, since the former is notoriously dry and abstract.

[cedar ridge]

oh like zfc and such?

[manic fox]

fibbonaci in

tre

e

[cedar ridge]

...

wut

[manic fox]

study harder

[cedar ridge]

??

[karmic thorn]

Right, axiomatic set theory and the likes.

[manic fox]

ZF is the best introduction to math

tao moment

[karmic thorn]

[narrow talon]

Bump

[karmic thorn]

I'm aware of a course on smooth manifolds

https://youtube.com/playlist?list=PLgMDNELGJ1CYjjGOuEVtdK6YWON9m7bGu

ICTP is generally good so maybe look at this one too: https://youtube.com/playlist?list=PLLq_gUfXAnkl5JArcktbOrIUeR5rra-Gz

[golden jasper]

good book for combinatorics plz help 🥺

[karmic thorn]

I'm currently working through Bóna's A Walk Through Combinatorics and recommend it for a first course.

[gray gazelle]

[stone drift]

You can try Martin Aigner's, A course in Enumeration.
It has a mny problem for you to work through with varying level of difficulty.

[tulip pier]

Hello , can I get recommendedations for self study for maths for JEE

IS CENGAGE GOOD

[hearty steppe]

JEE?

[tulip pier]

Yes

[karmic thorn]

Yeah, Cengage should be fine I guess.

[hasty turret]

Cengage is probably good but JEE is mostly about solving problems

[gray gazelle]

Cengage has a lot of printing errors iirc

(even the new 2020 edition)

[misty wyvern]

what is the worst math textbook youve seen actually used in a class

and why is it stewarts calculus

[willow pecan]

Rudin

[prisma snow]

I haven't seen it being used, but I assume Tao's analysis books are used in classes somewhere

[misty wyvern]

presumably by tao himself

[hasty turret]

You haven't seen indian authored textbooks if you think Stewart is the worsy

[prisma snow]

Sad. When you have a brilliant mathematician as a lecturer but he uses his own books

[manic fox]

indian author textbooks are goated bro

[marble solar]

It's used in 131A and B at UCLA

[misty wyvern]

i have a confession, i never read a calculus texbook because im illiterate

[marble solar]

The H sections usually use Rudin

[marble solar]

Stein and Shakarchi Volume 2 complex analysis

Stands out as a particularly bad one for the specific class I was in

[misty wyvern]

i skipped that one 👀

[marble solar]

Any computational differential geometry book

[misty wyvern]

but i though s&s were good

[marble solar]

S&S are good, but the approach for the class

wasn't the same as the approach for the book

So it was the worst book in relation to the course

[radiant bay]

Any good intro to Multilinear Algebra having only done Linear algebra and some intro to AA?

[crystal lion]

munkres analysis on manifolds

it isn’t focused on MA tho

[gray gazelle]

crack open a differential geometry textbook and look at the part before differential forms

[radiant bay]

Just saw a post about how to "properly" define determinants, and it has foreign symbols I'm unfamiliar with (upside down v? multilinear? wedge?) and I just want to someohow understand it 👀

[flat lantern]

mutlilinear algebra is your best bet probably, I don't know any books on it but it's a start

[quick hornet]

https://en.wikipedia.org/wiki/Exterior_algebra

best source is probably bourbaki algebra but sadly its not a very approachable text

[left wasp]

book recomendations for calculus,

[quick hornet]

could try shafarevich (https://www.springer.com/gp/book/9783642309939) maybe?

[left wasp]

derivates, integrals....

[quick hornet]

the most common textbook for computational calculus is Stewarts Calculus

but there are 10 billion calc textbooks out there of roughly similar quality

so you cant really go too wrong

[acoustic bloom]

yeah they are all the same

[smoky surge]

what do we recommend for graph theory

need a book

[tranquil ocean]

I enjoyed reading Diestel

[smoky surge]

gracias

[quick hornet]

diestel is the standard yeah

[radiant bay]

Chartrand and Zhang's Graph Theory intro is a good light intro

[quick hornet]

its the ireland-rosen of GT

(though imo more readable)

[crystal lion]

look at a discrete math book for a light intro

diestel goes all in

[smoky surge]

im looking for something pretty light atm

i enjoy going in deep but idk if ill have time this semester

[tranquil ocean]

Yea I think Diestel is more of a grad level book

[smoky surge]

ok so go with Chartard and Zhang?

then do diestel after if I want more

[smoky surge]

im doing a connectomics class so I want to really focus on graph theory if I can

[crystal lion]

ngl connectomics sounds like a board game

[radiant bay]

connectomics 🧠

[smoky surge]

haahhaha it does

connectomics four

what do yall think of bondy's book

apparently thats the one my school uses

[left wasp]

yes theres many text books that they use in clases, but i want something practical and fast to learn.

[gray gazelle]

hmm

I want to sorta delve into more "advanced" calculus

would the kuttler book be good for an intro?

this one

https://klkuttler.com/book/One-Variable-Advanced-Calculus/1

[north heron]

@gray gazelle @uncut zealot my goal is to be able to hold embedded system ngineer job in long term, learning computer science is not a problem for me, but i lack knowledges in maths

Basic Mathematics by Lang should be enough for start ?

[uncut zealot]

If you want a book rec and don't have highschool levels, start with Basic Mathematics by Lang. It will bring you up to where you can learn calculus or linear algebra, which you will need both of for your career goals.

But one thing at a time

[gray gazelle]

start wherever you feel like starting, and if you feel like the place that you started in may be too difficult or you are not ready for it yet then learn the basic prerequisites for it till you feel like you're ready

[north heron]

is there exercices in it ?

[uncut zealot]

I believe so. If not, you can supplement easily with something like Khan Academy.

[gray gazelle]

I don't know but there are exercises all over the internet

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

pauls note has enough exercises to keep you satisfied lol (although mostly calculus and pre-calc)

[uncut zealot]

The most important thing to learning math is doing math, by the way. If something makes sense but you can't actually do it, you're probably misunderstanding it.

[north heron]

how i can get a decent working method ? is there some generals advices for that ? is there a better way to juste read one lesson find and do exercices related to it then go to lesson 2 ?

[gray gazelle]

uuh I'm still working on that tbh

lol

[uncut zealot]

Do what works best for you, but it will likely be a combination of watching lectures on youtube, reading the textbook, doing exercises and asking people for help.

[gray gazelle]

..

most important thing is to never stop!

[north heron]

thanks, are "Trigonometry
by I.M. Gelfand", "Algebra
by Israel M. Gelfand", "Functions and Graphs by I M Gelfand " books you recommend too ? there are frequently bought together on amazon with basic math

[uncut zealot]

I am not familiar with Gelfand's writings.

There is a distinct possibility that his "Algebra" is about algebra and not high-school algebra, which you probably should not dive into just yet.

[gray gazelle]

I'd suggest going to a library and skimming through books there

math books

[north heron]

thanks

[uncut zealot]

Like, my school's library has a book called "Algebra I" and it's all about module theory and category theory.

Don't even get me started on "A Course on Arithmetic".

Math books can have confusing names.

[gray gazelle]

I mean I found great books there but I also found books that I won't be reading for a long time, but it's nice to start there first

[vestal perch]

do you guys know of [how to find] any study groups that are working through a math book?

[flint forge]

Asking here might be ur best bet

There’s not a great resource for this

[vestal perch]

yeah, I'm learning as much

I want to study math but it seems like the only place you can do that with other people is at college/school

[gray gazelle]

then study math! but yea I don't really know the best place to find others to group with either tbh

[vestal perch]

I mean it's so much more fun to do with other people

it's hard for me to just do it on my own

[sacred egret]

Any linear programming undergraduate book recommendations? Looking for something with a lot of solved problems

[sudden kindle]

Serge Lang Algebra is a good book

[hearty steppe]

Haven’t read it yet but I will eventually take a look at it

[golden jasper]

thanks 😀

[tulip pier]

Cengage has a lot of problems though

[tulip pier]

Ok

[tulip pier]

Sad enough , but still I am going for it.

This is illogical

[gray gazelle]

Stewart and Thomas calculus, period.

yes

agreed

[sharp latch]

Thomas calculus unbased

[half mountain]

how difficult is bourbaki books?

[quick hornet]

quite

they expect no issues with mathematical maturity and are famous for being very abstract

[half mountain]

i read their set theory and its a bit confusing about their notification

[quick hornet]

yeah, some of their notation is a bit dated as well

[half mountain]

but halmos, apostol, cohen are motivated by them tbh

its very rigid in my opinion but not difficult

[gray gazelle]

can anyone recommend me a calculus book to study calculus

[marble solar]

Spivak's calculus

[gaunt wraith]

Can anybody recommend a book for order theory 👉 👈

[smoky surge]

whats multilinear algebra

[willow pecan]

Like linear algebra

But more linear

[smoky surge]

any books worth reading?

[crystal lion]

#book-recommendations message

[primal summit]

recs for a book on geometric algebra?

[hollow stirrup]

RD sharma for life

[primal summit]

Yea I don't think that's what i'm looking for lmao

[hollow stirrup]

I meant it as joke

[coral narwhal]

bad jokes go in #serious-discussion

[remote knoll]

Having taken a semester of college prob/stat, and working a lot with engineering statistics, I'm kind of curious where to go from here. Can you recommend a good second book for probability and statistics?

[marble solar]

Rick Durrett probability theory

[eager stump]

Google Harvard 110, there's a free pdf and lectures

Oh second book nvm

My suggestion is more of a first book...

[crystal lion]

you dont even know if they have any analysis background

[marble solar]

It's clearly a joke, but if you want to learn probability theory

It's a good book I'm told

[gray gazelle]

I think second course in statistics/probability is either like stochastic stuff (in an engineering level of rigor) or like stuff you would see in a first course with a higher level of rigor (like saying such and such distribution is continuous so such and such is justified)

[vagrant sedge]

Hi. Can anyone tell me if this is a good book? https://www.springer.com/gp/book/9781461264132

[willow pecan]

It would be more helpful if we could see what the lectures are

Instead of them just being numbered 1-21

[vagrant sedge]

Oh... that's true. Let me see if I can find that.

[willow pecan]

Also I've always said that for intro numerical analysis, Wikipedia suffices

For more advanced topics, you'll want a more focused book

[vagrant sedge]

https://link.springer.com/content/pdf/bfm%3A978-0-8176-8136-4%2F1.pdf

Full ToC is in there.

(which tells you what each of the lectures has)

[willow pecan]

Just use Demmel's Numerical Linear Algebra

[vagrant sedge]

About Demmel's one. I always hear about Trefethen and Bau's one.

Do you know how they both compare?

[willow pecan]

They are comparable

I rec Demmel because I took his class

[vagrant sedge]

Cool 😄

Thank you very much.

[remote knoll]

This book seems to require some background that I do not have, but this is OK, I'm happy to work up to this book. What are the prerequisites? I assume Real Analysis from 123four's comment, but is there anything else?

[gray gazelle]

the philosophy server failed me so i guess i'll ask here is there any good books you can recommend on modern logicism(fregean)

[crystal lion]

the book builds probability very rigorously from something called measure theory (which is often learned in a second course in real analysis)

you’ll be proving everything you see in a regular first year probability course using the measure theoretic foundations

plus more

[crystal lion]

but if you’re learning for the purpose of engineering, i think durret is too abstract and this would make more sense

[remote knoll]

Learning for curiosity rather than engineering

[marble solar]

You don't need measure theory going into Rick Durrett

[crystal lion]

I mean if it's your first exposure to it you'll be in for a treat

[marble solar]

Well sometimes that's fun to do

[manic fox]

dick rurett

[golden jasper]

good book for calculas

[bronze raven]

This is differential topology

The second one is algebra

The third one is algebraic topology

Can I get some suggestions for each pleseh?

These are supposed to be grad courses

[gray gazelle]

the first one is actually differential topology 🤓

suggestions depends on what you already like

oh wait this is the books channel

for the first one, guillemin and pollack should contain that stuff. for the second one, dummit and foote is a standard recommendation for algebra and i imagine it contains most of the topics listed there. for the third one, idk

[bronze raven]

ill just stick with allen hatcher

for third one

[gray gazelle]

you may also want to check out lee's introduction to smooth manifolds, it will cover most of the stuff in that first course (plus a lot more, it's a thick book)

[bronze raven]

ok ill see if time allows for it

its grindmode afterall

[gray gazelle]

What is the difference between Coexter's "Geometry Revisited" and "Introduction to Geometry"?

[polar linden]

Does anyone know a good intro abstract algebra textbook that gets to Galois theory and proves the unsolvability of the quintic? The lack of a general quintic formula is something I’ve wanted to understand for a long time, but I don’t know a good way to get there.

[gusty smelt]

Artin has a good chapter on field theory and Galois stuff imo

[storm harness]

John Milne's notes, Fields and Galois theory

[polar linden]

Thanks

[livid ermine]

aluffi

[gray gazelle]

Can someone give a rough idea of difficulty of the book mathematical circles in combinatorics related chapters (invariants,php,graphs,games etc)

[twilit fjord]

I have to revise for a Calculus II exemption exam for my first year of university, does anyone know a swift calculus II book? I have already learned the material but it has been 2 years and I have forgotten it "actively"

[pine trellis]

Hm I might actually have a book reccomendation but this server might also laugh at me for it

[pine trellis]

For this

[twilit fjord]

yeah i dont really care about math like that anymore so idc

too many people put stock in names and old books in communities ilke this

[fossil arch]

Seconding Pauls Math Notes, also yeah I'm w Faye, people may trash it but I think any old standard calc textbook will do to review /shrug

[pine trellis]

But it was the book I was reccomend when I was self studying BC calc like 4 years ago

[fossil arch]

Spivak's book would probably be really good but I still haven't gotten around to reading it thoroughly

and I'm not sure if it's a quick read as you're wanting

[twilit fjord]

yeah that was exactly what im talking about xD

[pine trellis]

It is techcally a BC calc textbook but it honestly probably covers more than a calc 2 course would

[twilit fjord]

im thinking more along the lines of calculsu for dummies

[pine trellis]

From what I've heard about the book, Spivak would be awful for this

So my reccomendation is Saxon calculus

[fossil arch]

yeah idk I'd just recommend any std calc textbook (not calculus for dummies though kekw) that they use in a college calc 2 course

[pine trellis]

Since it was the book I used and I liked it

[fossil arch]

I'm sure it'll meet your needs and if it doesn't there are a billion other easy-access materials that are not too complicated

[pine trellis]

hmm I guess the issue with Saxon is its fairly expensive

But you could probably find a 100% legal pdf somewhere

[coral narwhal]

🙂

Keisler is a calculus book available for free online

legally

[pine trellis]

Kelsier calculus

[fossil arch]

LOL

[pine trellis]

So close

[fossil arch]

man I never finished row

I got a quarter through it when school started

and I didn't read mistborn either since I started w stormlight, I was trying to predict (spoiler alert) ||kelsier would pop up in row||

since the community I was in kept teasing ||that he was in row||

[pine trellis]

Bruh just burn bendalloy for extra time on exams bruh

[fossil arch]

your mistborn jokes are lost on me :^)

[pine trellis]

I read Mistborn eras 1 and 2 and they were quite good

Tried Stormlight and couldn't get throguh book 1

[fossil arch]

pain

it took me multiple tries since it throws you right into everything without ever explaining it and then you learn about it naturally as you progress

[pine trellis]

No see the issue is

[fossil arch]

was tough to get through that sense of unease not knowing wtf anyone's talking about

[pine trellis]

Nothing happens for so long

I read Sanderson books for cool magic and big reveals

[fossil arch]

LOL yeah the big stuff doesn't happen until book 3, latter half of book 2 was good though

those r the only sanderson books I've read so I've got nothing to compare to

[pine trellis]

Not to hear some princes spend chapter after chapter talking about the politics of a kingdom I could not care less about

[pine trellis]

Ohh you need to read Mistborn

It's so good

[fossil arch]

Yeah for sure

maybe I will cram it after school ends

it's almost over

[pine trellis]

See my only explanation for what happened with Stormlight

Is that Sanderson traded his ability to write female characters to a demon in exchange for other writing skills

And then traded back after writing Era 2

It's literally the only explanation

[fossil arch]

LOL

[pine trellis]

There's no fucking way Shallan was written by the same person who wrote Marasi

It's just impossible

[crude sable]

books for functional analysis?

[prisma snow]

kreyszig for easy stuff and if you don't know measure theory, conway if you do know some measure theory

I haven't used conway

But I see it recommended a lot

[gray gazelle]

I casually use lang real and functional analysis, I think it is okay

analysis now

[crude sable]

ok thnx

[sage python]

Conway I hear is slow enough that you'd just get bored

[marble gulch]

I learned from Kreyszig. I thought it was pretty good. I have used Conway as a reference, particularly for the spectral stuff.

[glad prairie]

I asked in complex analysis, but I'll also ask here since it's book related. Does anyone recall which complex analysis book has a table of a bunch of conformal mappings of various domains at the end? I thought it might be Gamelin or Ahlfors but I can't recall.

[willow pecan]

I think it was Gamelin

Someone mentioned this recently at an analysis qual review session recently

[glad prairie]

Thanks

[lament lance]

Mom found this 400 page long SAT book

İs a month enough to prepare for the SAT test enough or too long?

I used that emoji by accident

I will probably dedicate most ofy free time for test prep in this month

[broken meadow]

yeah a month sounds fine

take practice exams frequently if you can also

[marble solar]

It's not ahlfors

[broken meadow]

f

[marble solar]

I meant to ping @glad prairie

It's not ahlfors

[glad prairie]

It's not gamelin as far as I can tell either.

[marble solar]

The schaum's outline to complex variables

[glad prairie]

Weird

[marble solar]

has a lot of domain mapping stuff

[glad prairie]

I see

[marble solar]

Marshall has the best treatment of riemann surfaces

From an analytic perspective

It might be in there?

But Marshall is a relatively rare book to use

[broken meadow]

brown and churchill for whatever reason has mappings in the back but i dont think they're conformal for the most part

they seem very.. contrived too

hmmcat

[marble solar]

I need to go back through complex analysis

I've forgotten everything

[gray gazelle]

make ur own c onformal mapping table

[polar linden]

It really depends on what you feel you need. Practice tests (taken from real past SATs) are the best way to prepare, and they can tell you where you’re at.

Some people need a lot of prep, and some don’t. I’ve always been good at test taking so I was fine with just one practice test and nothing else. But I know not everyone is that way.

[lament lance]

I took a mock ACT math part

I got 25/40 on the first try

For context the best university in my country only wants 24

But I wanna get a scholarship

[marble solar]

SMH if you can't get a perfect 2400 on the SAT

Or a perfect on the ACT

Why even try?

Enough with my sarcasm

[polar linden]

Isn’t the act out of 36?

[marble solar]

Yeah, it shouldn't be too much work to improve your score

[polar linden]

It’s out of 1600 with the newer format…

[marble solar]

||That's the joke||

[polar linden]

||ah I see||

[lament lance]

I don't know about the other bits of the SAT

I guess math and reading are fun

There goes my last month of summer

[polar linden]

My advice is don’t stress too much, and take it multiple times

[fierce sluice]

any book recommendation on improving math and logical skills ?

[eager stump]

more specifically?

[fierce sluice]

well a book where I can find math problems which is more trickier and different from what comes in the exams...

[quick hornet]

its hard to give recommendations without knowing, at least, what type of math youre trying to learn

algebra? calculus? proofs? discrete stuff? analysis? etc

[storm harness]

If you want logical puzzles then "to mock a mockingbird" might be fun

[velvet briar]

I'd suggest getting into proofs if you haven't yet. I liked Lewin's discrete mathematics for the basics. Free online!

[vagrant sedge]

Hi.

Could anyone recommend me a good book for elementary (before high school I mean) math for an adult who sort of went through math education (up to before high school) a long time ago but never really practiced it.

?

[gray gazelle]

depends what you want to study

Like do you want to learn high school math or start learning pure math?

For up to high school math khan academy might be good

[misty wyvern]

How should I learn Teichmuller theory?

[hasty turret]

You must first learn the elementary theory of heights

[misty wyvern]

It's hard being a shitposter. You ask one serious question and get memes.

[hasty turret]

You must however

Learn the elementary theory of depths first

[misty wyvern]

Oh, you were being serious.

[hasty turret]

You should master the DN theory

[misty wyvern]

I just wanna read Mirzakhani papers

[manic fox]

mirza you say

[misty wyvern]

Besides Rudin?

Check out Abbot's Understanding Analysis.

But no really, Rudin isn't that bad and it's a good book you'll keep on your shelf for the rest of your career.

[misty wyvern]

👍

[vague mason]

ask me anything about IUTT

I mastered it

[misty wyvern]

Nobody mastered IUTT, not even Mochizuki

[vague mason]

lies I and he did

[umbral wagon]

Do y'all happen to have any good resources for learning about Stone duality? Seems like most online resources are not well written or concise enough

If so please ping/reply

[crystal lion]

did mochizuki actually prove the abc conjecture

[sage python]

General consensus is no @crystal lion

[crystal lion]

what does that even mean though

shouldn’t it be clear cut whether his proof is right or wrong

[willow pecan]

No

V hard

[crystal lion]

does mochizuki write in a cryptic code or something

[willow pecan]

Just about

[marble gulch]

Paul Taylor is the goto reference on Stone duality.

[sour patio]

what's a good book for calculus 2

[umbral wagon]

Thanks, I'll look into it!

Didn't know there was a canonical text

[umbral wagon]

I disagree with the notion that the best way to learn calculus is through a textbook. You should really only look through a calculus textbook if you want exercises to confirm your understanding and test your knowledge. Everything else should come from lectures, IMO.

[sour patio]

then how am i supposed to learn calculus 2?

[umbral wagon]

Check out Professor Leonard on youtube. He has a collection of outstanding lecture series on the stand calculus sequence.