book-recommendations

[remote sparrow]

it's good

if you want to do more after that, you can look here:
https://www.amazon.com/Classical-Geometry-Euclidean-Transformational-Projective/dp/1118679199

[deep moat]

Hi! I got the book

It's called "Mathematics is..." by Jerome E. Kaufmann

It's more of a history ish kind of book

[safe relic]

Hey guys! So i want to read this book https://cs.wheaton.edu/~tvandrun/dmfp/ because it looks like a fun way to learn discrete mathematics, but it's kinda lacking in the solutions part. Could I probably use chatgpt to help check my answers while going through the book?

[molten gulch]

Real analysis can be done in first year of undergrad, even earlier, all you need is a solid background in proofwriting and the same general prereqs as calculus; though many do it after calculus as to have some intuition; "graduate" analysis course such as measure theory and functional analysis can be done soon after, though for linear you should have a proof based course in linear algebra prior and have experience doing computational (I don't mean with a computer) linear algebra too

[open merlin]

what's the command again? !nogpt

[molten gulch]

ChatGPT is horrible for maths, don't ever use it for maths

[molten gulch]

yes

[open merlin]

:p

[safe relic]

Damn, bummer.

[molten gulch]

Not at all a bummer imo, makes it so that you've actually got to properly justify why your work is correct

[safe relic]

Is there a way to check your answer is correct in discrete mathematics the same way you check if you solved the equation correctly in algebra?

[molten gulch]

People have posted proofs for most basic theorems and conjectures and whatnot that you'd find in discrete books online; at some point you should just become familiar with knowing how to check the logical consistency of your own work

[safe relic]

I see, that makes sense. Any good recommendations on a decent discrete math book to sink my teeth in?

[molten gulch]

Rosen's discrete math; our class uses Epp's book

Epp is okay, we haven't read much of it

[safe relic]

You prefer Rosen's style over Epp's style? How so?

[molten gulch]

We haven't really read Rosen, heard it's good from people who've used it, and we Epp has been okay but idk, we like learning each subject from a dedicated book instead of having a whirlwind tour of maths

[safe relic]

I see. Thanks Ryan, I will check those 2 out and see which style I like better.

[deep moat]

In terms of grad studies... right?

[molten gulch]

Any maths

we've had it show that 2+2=5 before

unrionically

without any tampering

[deep moat]

ChatGPT is after all easy to manipulate

I use it so I can have book recommendations haha

[molten gulch]

me when half the books it yaps about don't even exist

[deep moat]

Damn. I guess it means you have to create your own book

[willow merlin]

any math that isnt precalc

[gray gazelle]

Hmm interesting

[trail hemlock]

Apostol's Calculus is also good as an alternative for spivak

[molten gulch]

At this point we'd just say Abbott then Rudin

[trail hemlock]

yeah but i feel like when ppl ask for "calculus theory" instead of real analysis, im not sure they mean proofs so much as explainations of some theorems

[snow plume]

I’m not sure haha, I mainly want to do PID and PD controllers.

[snow plume]

I’m not sure if you are referring to apostol’s analysis, I actually have apostol’s calculus, and it is more of an everything until real analysis book rather than analysis, akin to how pre calculus is a recap of the things before calculus.

[trail hemlock]

yeah apostol's calculus

its not an analysis text but it covers calculus nicely

[snow plume]

It sums up everything you’d want to do before going into undergrad math

It’s not the best reference book, but it is fairly okay at just getting stuff you need for pre real analysis in one book

So if you don’t want to read the book, I wouldn’t recommend getting/using it ( who even gets real books anyways )

[willow merlin]

i like real books because they have a particular scent that is very addicting

but pdfs are fine aswell!

[snow plume]

I just cover my keyboard with isopropyl alcohol

[livid lintel]

their tastes are also really good

[snow plume]

Hey cat

[livid lintel]

But I mainly use PDFs because I have too many books

Helloooo

[deep moat]

Hi! is "An Introduction to Probability and Statistics" by V.K. Rohatgi a good book to start learning about P&S?

Because earlier I was reading another introd to prob and statistics book at school and thought maybe that book is good to read

[remote vortex]

I mostly agree, but it's been surprisingly useful with TiKZ, which is math adjacent. I gave it a drawing and asked it to generate the corresponding TiKZ code, and the code was wrong, but fixing it was still faster than creating it from scratch would have been.

But this is exactly the kind of area where I can recognize, understand and correct TiKZ code fairly easily, but I don't work with it often enough to be able to write it quickly on demand.

[covert bane]

does anyone have any recommendations for introductory texts on algebraic geometry? For context, I'm doing some work in basic topos theory, mostly in logic, but my supervisor seems to want to include a lot of algebraic geometry results (I'm very much not an algebraic geometer, but I have seen some very cool AG results using logic in topos theory), so I'm currently struggling through the geometry sections of Sheaves in Geometry and Logic, and a gentler introduction would be nice.

I'm also currently missing some prerequisites in commutative algebra but have done some work with homological algebra in algebraic topology/catogory theory previously, so any recommendations for quick introductions to commutative algebra would also be appreciated.

[molten gulch]

Yeah, things like this are p. nice but just in general asking gpt to solve maths problems is a horrid experience, having it write LaTeX is definitely easier

[mossy flume]

Probably the Gathmann notes

https://agag-gathmann.math.rptu.de/en/alggeom.php
https://agag-gathmann.math.rptu.de/de/commalg.php

[mossy flume]

Gonna repost this here in case anyone here has an answer: https://math.stackexchange.com/questions/4985491/followup-to-fultons-young-tableaux

[remote sparrow]

young tableaux sounds like a rapper's name

[mossy flume]

real

[dapper root]

Grrrrrr

Your situation seems to me, a little f’ed up

I think what will help is maybe some examples of results that your supervisor is thinking about

The main issue I see is that it seems like what would be good for you to learn is some geometry, which something covering varieties will be good for, but if you’re dealing with topoi then this connects to algebraic geometry in really deep ways that don’t really appear geometric at all

I think the main thing that would help (me at least) give a recommendation is if you are looking for geometric intuition, or something else

[covert bane]

I have a meeting next week so I'll get more details on it then

I just wanted to do some reading in the meanwhile

[dapper root]

I see, what’s your current background with algebraic geometry?

Is it virtually nothing?

[covert bane]

I'm currently doing a course on alg geom

we've just got up to varieties in terms of coordinate rings

[dapper root]

Got it

[covert bane]

but I'm having to constantly look up ring theory definitions

[dapper root]

Ah I see

[covert bane]

I think I'll just have to grind through some exercises for that

I've just not used rings in any (meaningful) way for the last 3 years

[dapper root]

If that’s currently the issue (Commutative Algebra) maybe try either Reid’s Undergraduate commutative algebra or Atiyah-MacDonald

AM is very efficient, you can blitz through it quickly

[covert bane]

that sounds great

[dapper root]

But I like Reid because it’s geometric, if you do that you walk away with a good sense of geometry and how it plays with algebra

[covert bane]

I'm also worried about some cohomology stuff later because of rings as well

[dapper root]

Ehhhh…

[covert bane]

but I'll have to see how that goes

[dapper root]

Frankly you said you did homological algebra right?

[covert bane]

for homology yeah

[dapper root]

Okay well it’s all the same

[covert bane]

ah cool

[dapper root]

Did you talk about derived fucntors?

Like Ext and Tor

[covert bane]

ext in cohomology so far

[dapper root]

Or even RF^i for a left exact functor F

[covert bane]

but I've done ext and tor and lex functors in category theory

[dapper root]

Okay, well I’m not sure if the way cat theorists think about it is quite the same

I think what would be good is to brush up on derived functors before you hit cohomology

[covert bane]

sounds good

[dapper root]

For this I really like the second to last chapter of ummm

Aluffi

It doesn’t talk about them in general, they do Ext and Tor but it gives you a good flavor of how to use them

[covert bane]

my cohomology lecturer has, so far, only covered ext in the context of Ab and not R-Mod

[dapper root]

It’s exactly the same don’t worry

[covert bane]

so free instead of projective resolutions and stuff

[dapper root]

Basically the same

[covert bane]

cool

[dapper root]

For commutative algebra you use cohomology mainly in like

Arguments with LESes

You produce a SES and it gives you a LES

And you do stuff like argue that a middle term is 0 so you get isos between things except the index shifts up by 1

And you’ll show that things are 0 past a certain point

[dapper root]

And so by induction you can just keep dragging that 0 down cuz of this

And things like that

[covert bane]

mhm

[dapper root]

So the way you work with homological algebra is pretty… specific

[covert bane]

I think I'm enjoying AG more than AT right now which is surprising

[dapper root]

But you need the machine of derived functors to set things up

[covert bane]

I mostly did AT last year and nothing on rings for ages

[dapper root]

Mmmm I see

[covert bane]

AT -> AG pipeline 💪

[dapper root]

AG -> AG pipeline

[covert bane]

but yeah need to revise comm alg

[dapper root]

For now that might be the best, but also talk to ur advisor

They probably have the best advice

¯_(ツ)_/¯

[covert bane]

I'm taking a course titled Symmetric Functions and Integrable Probability next term, and have access to the notes if you'd like to have a copy?

it's not a textbook by any means but perhaps you'd still find it helpful

[mossy flume]

yes please

[covert bane]

I'll DM

[mossy flume]

cause I know little to nothing about probabalistic connections to symmetric functions

ty

[covert bane]

contents

[covert bane]

I just realised which reid you're talking about; he's in my department 😭

[thorn cloak]

What books/courses would be good following Measure Theory? It feels like after Folland 1-3, there are a lot of routes to go in. I think my course dabbles in Chap 6,8,10, but not really sure where to go after.

[remote sparrow]

maybe conway's functional analysis textbook

[dapper root]

Wow swag

[daring lake]

Maybe Rudin's books?

[marble solar]

It depends on what you find interesting: you can go learn more about Functional, you can do more Fourier/Harmonic, you can go deeper into measure theoretic stuff. If you like Cantor-Set like things Fractals could be interesting. Dynamical systems, PDEs, or if you don't know Complex Analysis yet that's also related & good to know

[thorn cloak]

hmm i see. Ill poke around those then!

[fervent crow]

Book about complexity math that can help me get actionable insights for the stocks?

[hallow oriole]

for stocks? using math? get a phd and a supercomputer

[strange osprey]

if i shouldn't be asking this then tell me but where is a good place to find textbooks for free?

[foggy quest]

probability theory and PDE for sure.

[foggy quest]

https://services.math.duke.edu/~rtd/PTE/PTE5_011119.pdf

[fervent crow]

oops :/ so it's a no?

[hallow oriole]

i mean it's kind of a yes but anything you can think of the hundreds of wall street phds with shitloads of money, intelligence, and supercomputers have also probably thought of

you can either a) get lucky, b) somehow get millions of people to coordinate and do something you want them to do, or c) have a truly world-changing insight about something that's relevant to stocks

[timber mesa]

just see if you can read something about quantitative finance or algorithmic trading

[hallow oriole]

not to say you shouldn't invest in stocks

well in this economy maybe

[timber mesa]

idk much about this stuff but for short term trading it's probably worth knowing how to code and do some time series forecasting rather than doing complicated math

[hallow oriole]

but don't hope for some sort of like magic mathematical insight that will let you make a shit load of money

[timber mesa]

math phds in finance work in very niche stuff and nothing much that would get the average joe some money

[timber mesa]

also this, no such thing as easy money

[hallow oriole]

there's definitely easy money; just be born with rich parents

other than that? nope!

[gilded shuttle]

well, i can think of a few other ways

[hallow oriole]

have rich friends!

what're the other ways

lmk im broke

[gilded shuttle]

you’re a dude though

[hallow oriole]

i'm really hot

[gilded shuttle]

probably won’t work too well

[timber mesa]

well, yes

stock trading is a rich-get-richer situation 100%

[fervent crow]

yeah, get the basics and stuff right. and just rely on sound intuition

[fervent crow]

agreed

[timber mesa]

honestly I think even reading the news is more relevant than any specific math or stats model you might use for this kinda thing

the economy is determined by social factors after all

your portfolio should be informed by your own perception on which stocks are more likely to grow in a given timeframe

and so on

[fervent crow]

just wanna get a snowball in, so that the compounding thing can work its magic some time in the next decade or so

[humble spire]

A lot of it is noise though

[fervent crow]

yesss

[timber mesa]

yeah getting reliable sources is hard and news outlets deffo tend to exaggerate at times

ok, not even "at times" but you get the point

[fervent crow]

they'd probably charge premium subscriptions etc for that. everyone is a shark

[timber mesa]

also true

[fervent crow]

thank you, business buddha cat :3

[signal zenith]

If you’re thinking what I think you’re thinking the vast vast majority of people on those sites make almost no money

[gilded shuttle]

i was referring to the top people lol i heard a few days ago corinna kopf made over a million in just a day or something stupid lol

that’s free money

[hallow oriole]

whoa forgot this was mathcord

[remote sparrow]

gah dayum

[signal zenith]

Sure but the subject was easy money

And given that most are not successful I wouldn’t call it that

[opal whale]

anyone have real analysis book recs? currently going through mit opencourseware lectures & was wondering what would be a good book supplement

[quick hornet]

innocent user wanders directly into minefield (2024)

[hallow oriole]

read abbott for something super gentle, read rudin if you think you can handle it

read tao if you've never done a proof before

[tribal crow]

I've seen Abbott, Schroeder, Tao, Bartle/Sherbert, Rudin, etc all recommended before

there's a lot of RA books

[hallow oriole]

hi hgrrr

[tribal crow]

hello valley

[hallow oriole]

how are you!

[tribal crow]

do you want to move somewhere else for this

[trail hemlock]

Tao and Abbott are more gentle and expository, if u want supplement material Pugh or Rudin are good too

[slender wasp]

If you are doing 18.100A the reference book is Jiri Lebl (atleast for the version of the course which has video lectures on ocw). Abbott or Spivak will go well with it. 18.100A is also an intro to proofs class. If you are doing 18.100B which is a harder version, the reference book is Rudin. One of the main differences is 18.100A leaves out topology for later, which is an important early part of Rudin.

[jagged bay]

does anyone have any good game theory book recommendations?

[trim lake]

A good philosophical book?
It will be my first read for this type of books
So pls give me something good

[maiden glen]

good chemistry books?

[trail hemlock]

zumdahls

[outer brook]

is there anyone here specialised in the game of theory ? please i need some help in a mathematical related problem

[tardy hill]

Game theory is my favorite area of math but I’m no expert. I’m familiar with surreal numbers. What is the problem?

If you’re looking for book recommendations I would recommend Winning Ways for your Mathematical Plays by John Conway

[maiden glen]

what about anatomy?

[outer brook]

can we talk in DM ?

[tardy hill]

Sure

[vague elk]

Hi everyone 👋. I'm choosing calculus book to get between calculus one and several variable by Salas, Hille, Etgen and Calculus by James Stewart. Could you please make a small review on these books if you've used them?

[vague elk]

I'd suggest trying Chemical principles by Richard Dickerson. Not even in the middle of the book but seems very good so far.

[oak patrol]

I've personally never read any of them, but my university mainly uses the books by James Stewart for calculus. Also, I self studied a lot of calculus in hs using Paul's online math notes, so I récemment that as a good source.

[opal whale]

thanks!

[humble spire]

Atkins chem principles

More comprehensive than zumdahl

[maiden glen]

thanks

[worldly ledge]

good math books just for funsies?

[trail hemlock]

ive heard "Lectures on the h-cobordism theorem" be described as good night-time reading before bed

[narrow eagle]

algebraic geometry by hartshorne if u prefer lighter reading

[molten gulch]

LMAOOOOOOO

[molten gulch]

💀

unironically I'd read those before bed though because I'm not at the point where I understand much of either yet

[trail hemlock]

tbh i really like milnors writing so id consider it

and i dont understand much of either either

[gray gazelle]

math books for engineers

[trail hemlock]

on what topic specifically?

[rain wren]

@modern ruin can you confirm?

[gray gazelle]

Guys, how is "Classical Geometry Euclidean, Transformational, Inversive, and Projective ( G. W. Tokarsky, J. E. Lewis, I. E. Leonard, Andy Liu)" for someone starting out with geometry ?

[slender wasp]

Advanced Engg maths by Kreyszig, if you don't have something specific in mind!

[zealous palm]

Hello

[willow merlin]

does every linear algebra book explain change of basis for a linear transformation?

like I need to define some matrix formulas for changing between bases but I am not sure how to write the formulas down for each case

is very complicated for me I dont think I have struggled with something math related more in my entire life than this topic in specific

matrix change of basis for linear transformations, that is

like I even see some people describing them with commutative diagrams?

[modern ruin]

great book. milnor is so beautiful. uh.. i mean his writing

@trail hemlock

[maiden glen]

how would one learn more about hyperbolic geometry

I'm self tutoring

actually nevermind

I just looked in the search bar for "hyperbolic" and not a single person besides people who have read calculus books know anything about hyperbolic geometry

what a shame

[maiden glen]

fuck it!

and fuck it hard

ALTHOUGH

projective geometry is for big boys if I recall correctly

however

if you're like me; neglecting geometry because of it's defined dearth and inappropriateness in your imaginary world

then you might be fine

[tame tree]

you write down the new basis you want as coordinates in the old basis and then set these as columns of a matrix

and then invert this matrix

and then surround your matrix in the old basis with these new matrices

ill leave it as an exercise to figure out which sides of the old matrix to place the new matrices

if you want further elaboration see LADW

it’ll spell this out

[heady ember]

Or FIS

It also covers this in detail

[tribal crow]

pretty much any linear algebra book will cover the change of basis in detail

[willow merlin]

but I think change of basis between vectors is different that change of basis for matrix representation of a linear transformation

also I see every math book that explains change of basis matrix representation of linear transformation uses a different notation that the one used in my class so that is also maybe why I struggle even more

[willow merlin]

I will give it a try, ty

[willow merlin]

was reading it, and somethings I understand, and somethings I do not but idk if that's a me problem or like the text is above my level of understanding, but I will check it out more thanks

[daring lake]

Uhhh

[hollow shore]

Is Hefferon's Linear Algebra text a Definition-Theorem-Proof format textbook or is it mostly computations?

[remote sparrow]

it's proof-based and there are many problems which have you do computations

[topaz girder]

Can someone recommend me a book or a youtube channel, that I may understand? Like that that comes after highschool

[stoic hamlet]

What mathematics do you already know?

High school mathematics varies massively depending on what high school you went to, so try to be a bit more concrete.

[hollow shore]

Kimberly Brehm is pretty good

[topaz girder]

I do not know, how they generally are called, but I know things like sin, integrals, e. Idk I feel like the basic things

[topaz girder]

looks interesting, thx will look into it

bruh I have so many repetitions

sry

[trail hemlock]

https://youtube.com/@brightsideofmaths

[sacred canopy]

Is there any good introductory books on using python for more advanced math?

[signal mountain]

itd probably be beneficial to elaborate on what you mean by 'more advanced math'

[sacred canopy]

Good question

Lets probably go with something along the lines of Topology or something

oddly specific

[trail hemlock]

how would python be applicable to topology (honest question)

[livid lintel]

Does topological data analysis count?

But then that's applying topology to a usage and python can be used as one of the tools to do that

[trail hemlock]

hmm never heard of that, but its probably what OP meant

[willow merlin]

by OP you mean u?

[molten gulch]

OP means "original poster"

[trail hemlock]

no i meant jelliboi64

since he was asking abt intro books for using python for more advanced math

[willow merlin]

I didnt know, I see what u mean now

[trail hemlock]

😭

[remote sparrow]

this is young milnor

[trail hemlock]

what a distinguished gentleman

imagine him and young spivak

[molten gulch]

he looks handsome

[trail hemlock]

plz dont hate me, but he looks like matt walsh 🤦‍♂️

[slender wasp]

They need to use this pic more often in his profiles (instead of the leg stretch pic) xD

[trail hemlock]

yeah

LOL WRONG THING

[slender wasp]

I would have picked up Spivak earlier if they did. I think I delayed Spivak coz I thought that pic was a bit kooky xD

[trail hemlock]

this is also a nice pic of him

[sudden kindle]

Damm

[trail hemlock]

whats wrong with it? i glanced over it, and it seems good

especially for a beginner

[maiden glen]

two things

1. you misunderstood me

2. why are you scrolling back a day in a discord server

surely you have better things to do with your life

[trail hemlock]

is one of the 2 things an answer to the question?

[trail hemlock]

you would be surprised

[maiden glen]

im sorry?

i didnt understand that

[trail hemlock]

two things
"one of the 2 things" means, out of the two things you responded with, will one of the two things be an answer to the question (the thing you responded to).

[tribal crow]

no need to be so harsh

[cold elbow]

you should try reading his response again

[ivory sable]

Relaxando becoming

[maiden glen]

by "the thing you responded to"

i dont believe anything i responded to was the question i asked

thats just my opinion though

i could be wrong

wait

nevermind

[ivory sable]

Brother what

[maiden glen]

no

are you going to ask me another question

or are you going to answer my question and statement

[ivory sable]

Becoming is on the offensive 🦅🦅🦅

[trail hemlock]

and receive your endless insights about seemingly everything? no thanks

anyway this is off topic

[signal zenith]

Most socially skilled mathematics discord users

[maiden glen]

how are you so fast

oh right

if you practice and do it long enough

you'll eventually master it

[timber mesa]

that's right, both of you prob should stop

[maiden glen]

some guy #25612 to the rescue!

[signal zenith]

any good books for learning to draw from 0 skills

maybe books aren't the right way

but books are all I know how to learn things so if anyone has other suggestions

lmk

[willow merlin]

yes I need books for learning how to cook

like cook food

[gray gazelle]

realest thing i read today

[sick river]

It's always so funny to read the exchanges involving @maiden glen

[maiden glen]

promote my work

[remote sparrow]

drawing what? a quick google search returns books that purport to teach a variety of specific things you can draw

like how to draw landscapes, the human form, manga, etc.

https://www.reddit.com/r/learntodraw/comments/hfoynh/any_good_book_to_learn_drawing_for_beginner/

https://www.reddit.com/r/learnart/comments/sxf21b/good_drawing_booksstudy_books/

[trail hemlock]

r/learnart also seems to have a wiki dedicated to this question
https://www.reddit.com/r/learnart/wiki/index/drawingstarterpack/
https://www.reddit.com/r/learnart/wiki/index/practice/

[hallow oriole]

food lab by j kenji lopez alt and salt fat acid heat by samin nosrat

[shadow sleet]

Hi, does anyone have a book recommendation about modelling with odes with a big range of models in different areas?

[rain wren]

... I'm inclined to agree wtf

meaning his book ofc!

[heady ember]

[open merlin]

What I found super helpful was:

• Keys To Drawing by Bert Dodson
  (Exercises to get a complete beginner comfortable drawing what they see, i.e. still life)

Then, from a technical drawing/drawing from imagination point of view:

• How to Draw, How to Render by Scott Robertson (A couple chunky, comprehensive books on technical drawing & rendering. It's a very rulers & perspective grids approach. But the idea is if you can do it properly in this precise way, you can sketch similar things freehand once you know what it's supposed to look like / feel like)
• Draw a Box (website, similar approach to the above books, but just a simple series of exercises/tutorials rather than comprehensive books)

(but this was from ages ago when I was trying to learn art. I didn't actually get very far )

[pliant wadi]

what's a standard textbook for PDEs?

a somewhat complete text

One that assumes only functional analysis?

or maybe some basic ODEs knowledge

[swift sierra]

The book by Evans is fairly standard, I’d say

You can check and refer to the appendices for the assumed FA preknowledge

[pliant wadi]

Thanks

[gray jungle]

if your geometry is solid then taylor is a well known reference, altho a bit more difficult than evans.

but its definitely as "complete" as one may ever need

probably more than one may ever needs

[willow merlin]

thank u 👌

[pliant wadi]

taylor

?

I'll check that out

thanks

[gray gazelle]

good complex numbers book for grade 12 please

[foggy quest]

https://link.springer.com/book/10.1007/978-3-031-33859-5

[remote sparrow]

Nonlinear Dynamics and Chaos: with Applications to Physics, Biology, Chemistry, and Engineering by strogatz

[shadow sleet]

Thank you

[pliant wadi]

thanks

[trail hemlock]

hi, any thought about this book?
https://www.amazon.com/Algorithms-4th-Robert-Sedgewick/dp/032157351X/r
im in a DSA class and I think the mateiral is interesting

[remote sparrow]

i've heard it's good

you might enjoy CLRS too

[trail hemlock]

awesome, thanks

[foggy quest]

CLRS is classic and good IMO. Try codeforces for good practice.

[normal crystal]

they have a free two part Coursera course based on that too
if you want videos etc

[trail hemlock]

oh i should have clarified, ive done basic DSA, im looking for a book with more advanced material

[foggy quest]

codeforces problems get very advanced

[trail hemlock]

🥳

cool, thanks

[molten gulch]

Why are you asking about fucking hentai in a 13+ server of all places

<@&268886789983436800>

[shrewd crypt]

CHILLLLLLLL

ITS NOT DEEP

CHILLLLLLLLL

[zinc sundial]

oh ffs

[shrewd crypt]

gulp

[quick hornet]

please grow up

[dusk hemlock]

oh THIS is why he was muted

[trail hemlock]

the hell 😭

[humble spire]

Get it in c++!

Also maybe get skiena's algorithm design manual

[surreal token]

any free ebooks logic?

[trail hemlock]

https://logicmatters.net/

[surreal token]

thank you

[austere herald]

get this guy perm banned

[timber mesa]

did you join just to say this

[remote sparrow]

A Friendly Introduction to Mathematical Logic by leary and kristiansen

[surreal token]

thank youu

[austere herald]

why are u hating on my flow

golly gee i have a serious math problem i’ve been struggling on and i come in here just to get mocked and laughed at

[tribal crow]

first off, welcome to mathcord!

secondly, you should check out #❓how-to-get-help to see how to get math help, this channel isn't for that

lastly, well... derivada wasn't trying to be harsh with their words

I think you might've misinterpreted their tone

[austere herald]

their tone was very harsh to me

[tribal crow]

I think that's a misunderstanding

[austere herald]

second question, why did this purple123 guy not get banned

permanently

[tribal crow]

this is not the place to ask, I'm afraid

[remote sparrow]

they likely moderated more leniently since they judged him to be an immature kid

[tribal crow]

also, for moderation related inquiries, it's probably better to DM @marble steeple rather than ask publicly

[surreal token]

"in higher we trust!" i say

[loud cradle]

complains about harsh tone
repeatedly calls for others to be banned

[trail hemlock]

anyway

not a book-related question, but for anyone who wants milnor's Morse Theory or Lectures on the h-cobordism theorem in nice high quality, there is: https://oldbookstonew.blogspot.com/

[rigid lynx]

hi, does any book recommendation that will give me very good intuition of math and its connection towards universe and also how different areas of math come together to form a magical connection.
i just want to feel that "ahhhha !" moment
i just pass out high school so i want to get some glimpse of higher level math

[austere herald]

did u see what that fellow said???

[tribal crow]

we don't need to rehash it, in any case

we can just move on; no need to doubt the moderation action like this

if you have a complaint, DM @marble steeple

[remote sparrow]

https://link.springer.com/book/10.1007/978-3-031-26904-2

i recently stumbled on this book

not sure if it's good or not but i figured i'd share it

@split portal

[keen vale]

opinion on zakon? http://www.trillia.com/zakon-analysisI.html

[sage python]

At a glance this does not seem bad at all

[gray gazelle]

Read some Analysis by Sally

[sage python]

Sally is one of the books of all time

[open merlin]

Is it Axler's series editor privileges that give him lovely coloured printed books, where everyone else gets print-on-demand?

Just got a copy of Abbot's Understanding Analysis, & it's not terrible buuut, it's not great. Maybe softcover is better for the print-on-demand stuff. (Which I'm guessing is basically all springer books)

[austere herald]

on god this guy has the best book recs

[tender cobalt]

I want to learn proof writing, how's Jay Cumming's Proofs book?

[daring lake]

If you are new to proofs then its good

Super basic, super intuitive, his writing handholds you and guides till the end

[tender cobalt]

Alright thanks

[gray gazelle]

i like how discord with that slurs/bad words filter

just removes the name of the

author

💀 💀

[molten gulch]

LMAOOOOOOOOOO

[tender cobalt]

😂

[molten gulch]

Scunthorpe moment

[thorn cloak]

Anyone have experience with Functional Analysis, Calculus of Variations and Optimal Control by Clarke? Would it be a good intro for functional analysis + Calc of variations with an appliedish pov?

[blazing dagger]

seems pretty difficult

but good book it seems

i have not read it for it looks foreboding

[thorn cloak]

hmm i see. perhaps a more gentle intro would be better for me then. I do have the books by Conway and Muscat, but am trying to find something with applications to supplement (ideally through springer because i get a lot of the books for free through springer link)

[blazing dagger]

for sure tho that book is a good intro even if u only read the FA parts

i’m looking at it now

[thorn cloak]

i guess ill try it out then and see how it goes. thanks!

[blazing dagger]

[oblique hatch]

What’s a good book to learn basic representation theory of algebraic groups?

[rigid lynx]

man so many @purple which one you are talking about

[remote sparrow]

tapp's book is in full color with nice thick paper. it's perfect bound however. my copy of the third edition of LADR has a good binding with signatures, but my copy of the fourth edition is perfect bound (still with thick paper) and it took some breaking in to get it to lay flat at least sometimes. i will note a german reviewer on amazon received a copy whose text blocks were in signatures, so i was perhaps unlucky

not bad as a supplement

there are some exercises but it's lighter reading than a proper textbook

[gray tundra]

Is it too overkill to use Advanced Linear Algebra by Steven Roman as a first book in linear algebra? Does anyone know about this book?

I read only Chapter 0 and 1. It was a bit hard, but I might be able to follow to the end.

[remote sparrow]

overkill might imply you'll learn too much (you don't ever really learn enough linear algebra), but i will say that you may be missing a lot of the prerequisites, such as basic abstract algebra and analysis on metric spaces.

still, it wouldn't hurt to use a more elementary textbook (like most of us have)

gaussian elimination is a good thing to know

[gray tundra]

I used Halmos and Hoffman & Kunze, but only stood for the first few chapters. But I ended up learning Gaussian elimination.

I did have a class in a analysis already, and Chapter 0 of Roman covers the pre-requisites in algebra.

Forgive me, I didn't provide enough information

The only thing that bothers me is that he doesn't try to prove many results in linear algebra and assumes the reader has already seen those.

He's the type of guy who asks you to prove the main results in the exercises

[trail hemlock]

i used lang. dont use lang.

[daring lake]

I would definitely not use Roman as the first book. It's not intended to be. Follow something like Axler, then comeback to Roman imo.

[signal hazel]

Why is this even a question? Yes, it’s overkill and contrary to a proper mathematical education. It’s like saying can I do multivariable calculus without having studied single variable calculus? NO. Well, if your name was Euler… I’m sure you could regressively. Look, just get Gilbert Strang’s Intro to LA, watch his lecture series on MIT OCW and then, and only then, buy, download Axler’s LADR while also making your way through Apostol’s LA in his Calculus Vol 1. Simples.

Do all that and you’ll be a fucking genius

[summer lagoon]

I want to read a book that goes deep but not too deep into the resultant. I know its definition(s), their basc properties, I used them to reduce systems of polynomial equations, I know a bit on how their related to galois theory but. I still don't feel confortable with it. Like a complex type unconfort. Do you have a remede for that?

[gray tundra]

[trail hemlock]

#book-recommendations message

[summer lagoon]

me?

[trail hemlock]

nah

[signal hazel]

Apostol to the rescue?

https://www.ams.org/journals/mcom/1975-29-129/S0025-5718-1975-0366801-7/S0025-5718-1975-0366801-7.pdf

Out of my league, though.

https://isc.tamu.edu/resources/preprints/1996/1996-02.pdf

Or this?

Mais je ne m’arrête point à expliquer ceci plus en détail, à cause que
je vous ôterais le plaisir de l’apprendre par vous-même, et l’utilité de
cultiver votre esprit en vous exerçant...”
René Descartes

If you can read French, then you’ll find that the French are crazy about resultants

True, but I live in France

Mathematics in French is at least humorous. In Russian, mathematics is terse and cold like sculpture

Yes. They are so much more abstract.

Imagine everything being written by Spivak

Hardly use numbers

Good for your brain to dabble in how the great mathematical nations think about math.

Oui, imaginez

Try the Book of Proof.

By Hammack.

While also learning Haskell!

By Hutton

Ah yes. I have that book. Did you finish it? Supposed to be the best

But I’m crazy about set theory and Hammack starts with that b

Yeah, but Hammack is gentler. More intuitive? I felt like Velleman was more of a second stab at proof, tbh.

In terms of people’s opinions on maths books… it has been my experience that people who know maths really well will recommend reading a Dover book written by a Russian in 1970!

Yes, comrades, just sublimate the differential equation, as every school boy knows and you will see ( even though I have skipped several key steps) that complete confusion reigns and brain death will follow. 🤣

Боже мой

Frankel is different though.

Frenkel

He if “Love and Math”

Of

[gray gazelle]

hello any book for calculus (I've done basic mathematics by serge lang) and i need to reinforce first in the geo and trig part because serge lang's book didn't discuss it that much..

really?

[signal hazel]

I don’t think so

[timber mesa]

in terms of approach and difficulty I think Spivak is good coming from any Lang book lol

like you said you might wanna read some other reference for the geometry and trig stuff, if you want to learn that. Maybe Stewart or some online notes or lectures

[signal hazel]

That’s interesting. Why do you say coming from any Lang book?

[timber mesa]

I just feel the rigor and level might be overall higher than most other precalc references

like, it's Lang lol

[signal hazel]

True.

[open merlin]

there's lang's short calculus for a similar style :P (isn't spivak closer to real analysis?)
Haven't actually read it tho

[signal hazel]

Spivak is often talked about as a great first analysis book

He even says this in the preface.

It’s super hard unless you’re au fait with basic proof techniques.

Apostol is easier lol

But that’s like saying that climbing Mt Everest is easier than climbing K2

[simple vector]

Hello, do you have a book (with the french translation available) that explain logic and ensembles theory ?

[signal hazel]

Exo7 ?

[simple vector]

the website ?

[signal hazel]

Algèbre : Cours de mathématiques - Première année

Amazon. Super cheap. First 38 pages cover sets and logic

It’s pretty easy to follow in English too

Another book or website

Désolé. C’est gratuit ici :

http://exo7.emath.fr/un.html

C’est incroyable

[swift sierra]

In addition to Conway and Rudin, are there any nice Functional Analysis texts that someone might recommend? Nothing too introductory, so Kreyszig isn't exactly what I'm looking for.

[tawny copper]

Lax

[mellow wren]

Reed Simon

[tawny copper]

Does anybody know how to remove hyperreferences from a PDF? By hyperreferences I mean blue things like this

I just want the color to be black as the rest

[spring night]

Hi! Any good books on geometry?

I need one for problems and one for understanding the stuff

[remote sparrow]

i've tried to do this manually for a pdf i was going to have printed but it kinda fucks with the layout

[tawny copper]

What did you try using?

[remote sparrow]

adobe acrobat pro

[tawny copper]

I find having so many colored references increadibly unpleasant, specially since when I invert the colors the references are then yellow

[azure glacier]

Hii, any good book reccs for linear algebra?

basically self-studying it and following gilbert strang's lectures but needed some practice

[spring night]

Google pdf hyperlink remover

[tawny copper]

It removes the hyperlinks, but not the blue color, which is what bothers me

at least the one I tried

[spring night]

convert pdf to word
change color of text
convert pdf back

or yk

@tawny copper are you on windows

[tawny copper]

I can use windows or linux

[spring night]

on windows

go to settings

find color filters

turn them on and set to greyscale

@tawny copper did it work

[tawny copper]

Lol that's pretty nice actually, I didn't know this existed

[tawny copper]

Btw, geometry is way too broad, you should narrow down what kind of geometry you want to learn about. Eg: Euclidean geometry, differential geometry...?

[spring night]

coordinate

and stuff related to triangles and circles

their properties

and how geom can be used for algebraic proofs

eg. the sum of an infinite gp a/1-r derived geometrically

[spring night]

Now switch back to your original pdfs with working hyperlinks

[tawny copper]

Evan Chen; Marvin Greenberg; Stefan Lozanovsky. Maybe one of these work for you. Kiran Kedlaya also has some nice notes

[spring night]

I like Stefan Lozanovsky
Thank you

[karmic tangle]

Hello, could anyone please recommend me some good book for Numerical Methods?

Preferably usable as a companion to a course that does the practical parts in MATLAB

I can't post pictures sadly but this is the course syllabus

1. Linear algebra recapitulation, Error analysis, Matrix decomposition
2. Least Square method, Interpolation (polynomial, linear and multilinear, radial base, spline)
3. Systems of nonlinear equations (Newton method and its generalizations, convergence analysis)
4. Iterative methods for solving of systems of linear equations (Jacobi method, Gauss-Seidel method, relaxation methods, two-grid method)
5. Optimization in R (bisection, golden ratio, quadratic interpolation, and Newton methods)
6. Optimization in R^n (Nelder–Mead, gradient descend, Newton, quasi-Newton, and conjugate gradient methods)
7. Numerical integration (Newton-Cotes formulae, Gaussian quadrature formulae, Monte-Carlo integration)
8. Numerical differentiation and solving ODEs (numerical estimation of derivative, solving intial value problems for ODEs and boundary value problems ODEs and PDEs)

Ideally I'd want something kinda light-ish that allows me to pass the course (so complete the computations in matlab and have some intuition behind what I'm doing), I tried the assigned reading text but it felt super dense and technical.

Could also be some online course or a different type of material not looking for a textbook specifically just something that helps me learn it.

[remote sparrow]

what's the assigned text

[cedar ridge]

this never gets old

[swift sierra]

Could anyone recommend an Algebraic Topology book that isn’t Hatcher? I know that for many it is the text of AT but I found it slightly disorganized.

[signal hazel]

I did her short course on Coursera. Free. It’s good. Wouldn’t bother with the book however.

[simple vector]

Analysis I + II
Amann, H., Escher, J. (2005, 2008) or Principles of Mathematical Analysis
Rudin, W. (3rd Ed. 1976). ?

[open merlin]

#book-recommendations message

[signal hazel]

Not Rudin. Only the DU understands Rudin lol

A first course in mathematical analysis by Burkhill. Helped me understand inf and sup.

Used in first year at Cambridge, I recall

[simple vector]

DU ?

What is it ?

[signal hazel]

Who? The Deleted User

[simple vector]

?

I don't understand 😅

[signal hazel]

See previous messages above. It was supposed to be a joke but it’s ruined now

[simple vector]

I see

So Rudin is not clear ?

[gray gazelle]

hello guys, does anyone have good resources for Complex Numbers/ Argand diagrams?

[signal hazel]

It depends on what stage you are at. I definitely would not begin with Rudin.

But study it after a gentler introduction

Muttack or Abbott

Mattuck

Others would know better

[swift sierra]

Abbot is a wonderful text for newcomers. Super easy to read. Rudin is also nice but imo better digestible after you've already had some exposure to real analysis

Haven't read Mattuck, so I can't comment on that

[shell geyser]

i liked bartle and sherbert for introductory analysis, i found the book's explanations to be pretty good and the exercises aren't super hard

[simple vector]

Is there any french translation of these books ?

[karmic tangle]

ah so I made a mistake, the text I had looked at isn't officially the assigned one as it's not even in English (while the course is) but it's been written by 2 professors from the department and it's kinda like "official course notes but in printed book form" though officially it's for a slightly different course that's not in English

MATHEWS, John H. a Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
BURDEN, Richard L. a J. Douglas FAIRES. Numerical analysis. 6th ed. Pacific Grove, Calif.: Brooks/Cole, 1997, xiii, 811. ISBN 0534955320. info
STOER, J. a R. BULIRSCH. Introduction to numerical analysis. 1. vyd. New York - Heidelberg - Berlin: Springer-Verlag, 1980, 609 s. IX. ISBN 0-387-90420-4. info```

These are the 4 recommended texts but I don't know how I'd choose between them

[simple vector]

For the one who knows RDO's books, do you think those are good books ?

[signal hazel]

No.

[remote sparrow]

i can say burden and faires is pretty standard

[remote sparrow]

@torn crypt btw you might find Mathematical Logic: Exercises and Solutions by csirmaz and gyenis a good source of problems to assign

[torn crypt]

I see

[distant nacelle]

any reccomendations to develop fluency with abelian categories

would bee even nicer if there was a book dedicated to them

pls dont say stacks project

[remote sparrow]

stacks project

[distant nacelle]

Omg

[dusk wind]

is it ok if pedestrians give recommendations

[dapper root]

No you need to own a car to make recommendations here

[dusk wind]

🚶

[hallow oriole]

yeah don't worry it's well known that this is a pedestrian server for pedestrian mathematicians

[dusk wind]

a super phd must be one of the initial requirements, besides the car ofc

[dapper root]

Throwback

[sturdy frost]

i'm planning to self-study discrete math, does anyone know a website with good notes?

[graceful moon]

Discrete maths isn’t exactly a well defined thing, what kinda stuff are you looking for specifically?

[remote sparrow]

i would assume a discrete math would by definition avoid anything at all related to limits and other analysis topics, unlike certain intro to proofs books

[umbral cedar]

Do pedestrian mathematicians study self-avoiding random walks?

[gray gazelle]

https://donkuri.github.io/learn-mathematics/

What you think about it guys?

[hallow oriole]

its bad

[gray gazelle]

Why?

[hallow oriole]

i'm against a generalized "order to learn math" to start with

it's unnecessary

just read what you need to read to understand the things you want to learn

[timber mesa]

right I would see the book list in there as more like, a curated list to pick books from and not an strict order

rarely if ever you'll read math books cover to cover anyway

[hallow oriole]

^

[timber mesa]

but they're 100% right with the remark about solving exercises and getting stumped at times being the only way to learn

the book recs are fine nothing too crazy, if you get to the point where you want to see topics in the "electives" list you'll be better off asking people who actually do, or have learnt this stuff to recommend a book

for instance the books in dynamical systems are very ODE focused and if you want to learn about more geometric stuff and chaos I'd recommend Robinson

but that's like a very specific thing lol

also ofc nowadays there are good complements to these books available online, in the form of lectures or online sources

good to keep in mind

like, I'll always recommend Paul's notes for early undergrad/non-math major alg and calc type stuff https://tutorial.math.lamar.edu

[twilit nymph]

Looking to get ahead of my class, in math 10 any book reccomendations? If u need more info on what im looking for just let me know

[remote sparrow]

any comprehensive book list shouldn't go past beginning masters level/qualifying exam type stuff

some of the books are pretty specialized

the logic suggestions are not the most accessible

there is also no logician track

@gray gazelle

[gray gazelle]

Make sense.

[gray gazelle]

Make sense.

[gray gazelle]

Thanks for your point of view.

@remote sparrow , @timber mesa , and @hallow oriole what do you do for a living? I'm pensive about working with math, because I want to learn math to create my (climate) prediction models...

[hallow oriole]

uni student with aspirations to go into academia if i'm cracked enough, and cop out to finance or tech if not

[gray gazelle]

What area in tech? Algorithm Design, Computational math, Software engineer?

I mean, never mind. Thank you to response about the books.

[hallow oriole]

i think i could swing my way into any of those! theoretically if i did go into tech i'd be most interested in whatever has the best effort:money ratio

[gray gazelle]

I understand.

[timber mesa]

currently unemployed but I've taught at uni level and am now applying for a PhD in applied maths, starting on March next year

[gray gazelle]

Wow, nice. I mean, most of the math students turn into researchers. Most of the people that I met.

[timber mesa]

that's the end goal for most yes

but depending on the place and people u meet there may be some opportunities in industry, which is why I want to get into modelling and stuff

more so as a possible career option though, I still want to keep doing what I do now (dynamics)

[languid cipher]

Hey guys

I want to study from the very beginning, what books would you recommend me?

From arithmetic to calculus

[trail hemlock]

Lang's Basic Mathematics

[remote sparrow]

college student, applying for masters

[gray gazelle]

Pretty good.

[trail hemlock]

how pretty (ss from amazon)

[vocal egret]

I saw Advanced Engineering Mathematics 3rd by Kreyszig for a dollar.... is it worth it?

planning to take on CS soon, but it's still far away

[wheat remnant]

Hit me with your best discrete recommendation folks. Taking discrete 1 & 2 soon but pre loading by binging math for comp sci from MIT from 2010 figured I may as well add a book to that mix to solidify me 🤣🍻

[remote sparrow]

a dollar?

i guess so

i mean, it depends how broke you are

i think the mathematics are more relevant to what people imagine as engineers (mechanical, electrical, civil, etc.)

[remote sparrow]

i've seen better

it's pretty alright tho

[vocal egret]

I only have like a dollar left, so uh-

[daring lake]

Its good too if you want to get a hang of calculations. Covers a good chunk of multivar calc, de, la.

[vocal egret]

Sounds interesting, imma try it. thx for the infos!

[crimson leaf]

Does anyone know like any high level quick overviews of linear algebra mainly looking for something that cover multilinear and the more standard stuff

Not sure i described that well lol but I'm looking for a book or lecture notes that covers it all pretty quickly with some exercises

[near latch]

does anyone have some sort of calculus book

basically high school stuff

[tender river]

have a look at this https://realnotcomplex.com/analysis/calculus

[wheat remnant]

If anyone has anything on this? ^

[signal zenith]

They’re all pretty ok

I don’t have a strong opinion but when I took undergrad discrete we used Discrete Mathematics by Rosen

It’s a lower division at my uni so it’s been a long time since I took it

[wheat remnant]

Gotcha gotcha gotcha much appreciated!!!

[earnest notch]

Any recommended books for calculus and pre-calculus?

[molten gulch]

stewart precalc and stewart calc

[earnest notch]

Nice, alright

Calculus: Early Transcendentals?

[remote sparrow]

yeah

[tender river]

have a look at this https://realnotcomplex.com/analysis/calculus

[earnest notch]

Ooo

Interesting

[gray gazelle]

good stuff

[thin swan]

What are the odds in me discovering something new in math

[stiff tulip]

What's a good intro to pde book for someone comfortable with complex analysis, measure theory, and functional analysis?

Never done pdes before, but I don't need an engineer level book

[remote sparrow]

evans

[stiff tulip]

Bet

[glad rampart]

im looking for some good (finished) progression fantasy, ive already read cradle, mother of learning and mage errant

[desert pulsar]

Maybe try Worth The Candle by Alexander Wales. I didn't read it because I kind of roll my eyes at "rationalist" adjacent fiction, and while I enjoyed early parts of Mother Of Learning I ended up falling off and it left me with the impression that its genre cares more about worldbuilding and munchkinning than telling a real story. Still, I've heard Candle is unusually well-written and somewhat subversive for the litRPG/progression genre, so you might get something out of it.

[glad rampart]

already read wtc

one of the best stories ive ever read and i prob will reread it sometime but im looking for something new

[hallow oriole]

dont lump tgt litrpg and prog fantasy

all litrpg is progfan but not all progfan is litrpg

[empty mirage]

Is stewart calculus early transcendentals nice for multivariable?

[foggy quest]

Folland, Evans, Taylor (if you know geometry).

[soft estuary]

I need an affordable math book that covers topics such as pre-calculus, trigonometry, calculus I and II, plus 3D Calculus. I'd rather buy a textbook with A TON of practice problems

Any recommendations?

[remote sparrow]

you cannot find an affordable math book that covers all those topics, but you can find at least two books that will meet your needs

get old editions of stewart's precalculus and calculus

[soft estuary]

ok. will do. thanks a lot 👍

[trail hemlock]

hi yall, any good recs for an ap physics c mechanics book?

[remote sparrow]

serway/jewett, young/freedman, halliday/resnick

like calculus textbooks, they all tend to be fairly similar

[daring lake]

Goldstein

[gilded shuttle]

i liked halliday/resnick

[trail hemlock]

Halliday Resnick Walker, or Halliday Resnick Krane?

[remote sparrow]

krane

the third edition is also good

might want to have the derivation of the wave equation on a string handy though

i think it's relegated to an appendix in that edition

[trail hemlock]

hmm sounds good

and thoughts on Morin's problem book for mechanics? or is that outside the scope of appc mech

[gilded shuttle]

overkill

[remote sparrow]

i would say it's probably optional

is this self-study or prep for a class in the future

[trail hemlock]

self study

[remote sparrow]

you should do some labs

i'm pretty sure there are questions on experimental design

[trail hemlock]

my school doesnt offer appc as a class, since none of the physics teachers know calc or smth

[remote sparrow]

it's good to be familiar with the general lab apparatuses

[gilded shuttle]

physics c doesn’t really require lab knowledge

unless they changed it since last year

[trail hemlock]

they did actually

[gilded shuttle]

that was more of the algebra physics courses

[trail hemlock]

iirc physics c was updated since last year

[gilded shuttle]

did they incorporate labs though?

i know they changed the test format

to make the two physics c exams longer

which was much needed

finishing the mcq last year was a mess

i self studied e & m

[trail hemlock]

damn

[vocal egret]

no idea how, but I saw Lipschutz's probability book (SI metric edition) for a dollar

[brittle niche]

I need to find books about proof of Dunford-Pettis theorem

[vocal egret]

Did anyone try out Introduction to Applied Mathematics by Joseph Genin? Not much info digging for a single review or contents rn

[shell crest]

What's that channel?

[analog lava]

any textbook recommendations for differential geometry?

i am at the level where i can am just slightly comfortable with the main arguments in hatcher's exercises (ch1,2) ( still haven't covered chapter 3 )

and i have went through tu's differentiable manifolds textbook but i will have to recall and review things like say the lie derivative or like technical details of integration on manifolds

i want to learn about riemian geometry and there are many textbooks to choose from

i am tempted to read Tu's sequel

but have also been advised to read "baby" de carmo

I think a textbook that assumes knowledge of smooth manifolds but goes through them in a "you should know this" way would be best for me

[lost pilot]

The classic hard one is by spivak.

His book on manifolds.

[analog lava]

calculus on manifolds?

[swift sierra]

I will always rec all of Lee’s books. If you are familiar with smooth manifold theory, then Lee’s Riemannian Manifolds is quite nice

[analog lava]

intro to riemnian manfolds su mena?

u mean*?

[swift sierra]

Yes

I find his writing very comprehensible and I like that he includes small guiding exercises within the actual text

[analog lava]

yes

similiar to Tu

i think this is perfect for me

and the appendices are nich

nice*

hopefully it has pretty pics too

[swift sierra]

The pics are pretty standard

Can’t say I’ve ever through of them as “pretty” haha

[analog lava]

yeah

thank you so much

i will be using this

[bronze latch]

Any book recommendations for learning to code in R

[gray gazelle]

read documentations i say

or first watch couple tutorials on yt after some kick start

u can read docs

https://online.stanford.edu/courses/xfds112-r-programming-fundamentals

stanford

has a course on R

oh wait

looks paid

lmao

[normal sandal]

Hey, any recommendations for a book on algebraic number theory? for context I've read ~8 chaps of atiyah macdonald and have done some algebraic geometry (no schemes tho)

I was looking at neukirch's book but it seems a bit intimidating

[remote sparrow]

https://www.amazon.com/Number-Fields-Universitext-Daniel-Marcus/dp/0387902791

[remote sparrow]

@sudden kindle @finite gale

[finite gale]

neukirch

or milne

or https://ocw.mit.edu/courses/18-785-number-theory-i-fall-2021/pages/lecture-notes/

(note that the notes has problems but they're uh kinda hard)

like it straight up tells you to prove ostrowski

[normal sandal]

tysm!!

[sudden kindle]

There are many books

I like number fields by Marcus

[hearty steppe]

anyone here familiar with "Where Mathematics Comes From" by George Lakoff and Rafael Nunez?

[stiff tulip]

Only a like a chapter or two are very technical

[copper warren]

I accidentally bought Hardy's An Introduction to the Theory of Numbers instead of montogomery and niven, how big of a difference is there between the two

[remote sparrow]

i'd return it if you're able

i don't think hardy has many exercises

[pseudo forge]

book for celestial mechanics?

[sudden kindle]

Sagan's book is a GTM tho. Is it really UG level?

[mossy flume]

yea

honestly

like you don't need much more than a first course in algebra and maybe some prior combinatorics background (but you can get by without it, I never took a formal course in combinatorics I've always picked stuff up on the fly)

it's a GTM?

[sudden kindle]

Literally says so on the cover

[mossy flume]

wild

this is what I get for always looking at a PDF which just opens where I last stopped reading

[sudden kindle]

I think it would be cool to do a DRP on rep theory of S_n

[mossy flume]

Oh 100%

OSU has such a program and at the top of my list of books to mentor with would be working through bits of Sagan or Ideals, Varieties, and Algorithms

[sudden kindle]

A student working through Sagan needs to have a solid background in algebra tho

[smoky schooner]

“We have always lived in the castle”

Gothic thriller

[copper warren]

unfortunately I can't, I might just download a pdf of a number theory problem book to supplement like the one from Andreescu. Hopefully that'll be fine

[vocal egret]

Some bad news 😦

The online seller lost his original book, so I have to rely on my laptop to study the material (Guess my laptop's fans are dying then 😭 )

[strong spade]

not a algebra related book but its very interesting q𝘶𝘢𝘯𝘵𝘶𝘮 𝘧𝘪𝘦𝘭𝘥 𝘵𝘩𝘦𝘰𝘳𝘺 𝘧𝘰𝘳 𝘵𝘩𝘦 𝘨𝘪𝘧𝘵𝘦𝘥 𝘢𝘮𝘢𝘵𝘦𝘶𝘳 𝘣𝘺 𝘵𝘰𝘮 𝘭𝘢𝘯𝘤𝘢𝘴𝘵𝘦𝘳 𝘢𝘯𝘥 𝘴𝘵𝘦𝘱𝘩𝘦𝘯 𝘫. 𝘣𝘭𝘶𝘯𝘥

[willow merlin]

which book explains synthethic division polynomial division ruffini method or horners method to factorize polynomials of higher degrees than 2, for example polynomials of degree 3, 4, 5 , with complex solutions

is there a book that explains complex conjugate theorem

demoivres theorem

I know I am asking for a lot but everything I have said is somewhat related

like there is also rational root theorem ?

is there a book that covers that one

?

[willow merlin]

this one is the one I most care about tbh

[gray gazelle]

don't think you need a book for that tbh

some youtube videos will be more than enough

like this for example: https://www.youtube.com/watch?v=J6TnZxUUzqU

great yt channel

[pallid quail]

hey i need some highschool books or even middle school books that covers foundational algbera, geometry or whatever they teach in school

the goal is to not learn or concept building, its rather to brush up all the formulae and stuffs i have read over the years

[willow merlin]

Ty I love that guy thanks u

[wispy moss]

statistics book ?

[molten gulch]

blitzstein and hwang stat 110 book
wackerly mathematical statistics

there's probs a lot we're missing

[river rock]

hello, could anyone recommend a book that introduces classical mechanics using symplectic geometry?

[remote sparrow]

despite the course being called stat 110, it's pretty much all probability

probability is also not statistics

[foggy quest]

Statistics is an application of probability theory

[remote sparrow]

statistics makes use of probability theory, but it also has ideas independent of it. statistics includes distinctly nonmathematical ideas under its umbrella, such as ideas about how studies ought to be designed and philosophy/interpretation of statistics, e.g. should one use frequentist or bayesian inference for a given problem? very roughly, probability theory investigates the properties of known probability distributions, while statistics is concerned with the characteristics of data, like the mathematical properties of the sample mean or variance (descriptive statistics), and how we can draw conclusions from data, e.g. hypothesis testing (inferential statistics).

[smoky schooner]

oh

Help

I thought this was like

A book as in reading story books

[signal mountain]

it can be, doesnt have to be math

[molten gulch]

yeah hence I also listed the other book, when someone says statistics, my brain instantly jumps to thinking "probability and statistics", but yeah, we really missed the mark on that one

[hallow oriole]

automata theory recs?

asking for a friend

she knows logic up to basics of model theory and a little combinatorics

[fast pawn]

Any intro topology books/sources that aren’t Munkres or the UToronto notes?

[hallow oriole]

mendelson!

[fossil nest]

viro

elementary topology problem textbook

[smoky schooner]

Oh

[signal mountain]

are you looking for anything specifically ?

[smoky schooner]

Books?

Like math or general

[signal mountain]

either

[tribal crow]

Lee is good too

[smoky schooner]

Can y suggest me self studying pre calc books

Also have you read the diary of a young girl before?

[signal mountain]

not from personal experience, but stewarts pre-calc gets rec'd here often i think

[signal mountain]

i have not

[smoky schooner]

Okay thanks!

Omg

It’s expensive..

[signal mountain]

maybe check out older editions

or a different book

[smoky schooner]

Okay

Or is it expensive bc it is too good?

[trail hemlock]

second this

lee is fucking amazing

[tribal crow]

Lee's writing is nice

[trail hemlock]

https://cdn.discordapp.com/emojis/947910733360955473.webp?size=48&quality=lossless&name=chefskiss

[remote sparrow]

did she specifically say she needed something more in-depth than sipser?

[trail hemlock]

ch5 on his itm book (cw complexes)

is like perfect

[hallow oriole]

she's reading sipser rn and wants further reading yeah, should have mentioned

[remote sparrow]

https://cstheory.stackexchange.com/questions/1955/books-on-automata-theory-for-self-study

i don't know if most are more advanced than sipser, but Handbook of Automata Theory could be useful

[hallow oriole]

oooh

thank you!

[remote sparrow]

you can have your friend look at Automata and Computability by kozen maybe

[remote sparrow]

https://link.springer.com/chapter/10.1007/978-3-642-59126-6_7

https://link.springer.com/book/10.1007/978-3-662-07003-1

@hallow oriole

https://link.springer.com/book/10.1007/3-540-68804-8

[hallow oriole]

oooh she might like this one

she does cs

[wheat remnant]

anything serving as a good intro to proofs that anyone would reccommend? I already have a good discrete maths book but was wondering now if that would be a good complement

[remote sparrow]

both types of books serve the same purpose

[wheat remnant]

okay so i should just rock with what i have then?

[remote sparrow]

yeah

[wheat remnant]

awesome

preciate you, youre the best

[heady ember]

For metric space topology, I like Baby Rudin.

But if you mean general topology, then people like Willard and Lee's Intro to Topological Manifolds.

[trail hemlock]

this times one trillion

im using lee rn, and willard to reference sometimes, and its great

for metric space topology, there is also this book, which I used. its alright

[remote sparrow]

o'searcoid and magnus are good for metric spaces

cheaper too i think

i received my copies at the beginning of the year after ordering them last year during the holiday sale

[trail hemlock]

yeah springer has some fucking nerve charging 64.99 for a 154 page book

[heady ember]

What do you expect from Springer? They'll spring at every opportunity to exploit their customers.

[remote sparrow]

springer is honestly one of the better publishers. wiley is super ass about pricing and some people have bad experiences with the print quality of the wiley classics line (paperback reprints of some popular older references)

i can live with my copy of folland, but i am not particularly fond of the fact that some pages have text that are pretty crooked

[trail hemlock]

everyone should be more like dover

[remote sparrow]

@mystic orbit @rain wren mind taking a look at cinlar's Probability and Stochastics and shiryaev's Probability-1 and Probability-2 some time? if you can only do one, i'm more interested in getting your thoughts on cinlar. it'd be cheaper to get than a hard copy of billingsley

[remote sparrow]

skip the middleman and just have books printed out at lulu

i will say dover used to give even more value for money in the past

some of their books used to be bound in signatures and stitched (still paperbacks however)

[trail hemlock]

unironically my plan

lulu keeps telling me smth about the size of the pages 🤦like just print it smh

[remote sparrow]

what book are you trying to print

[trail hemlock]

Lee's ITM

the pdf from springer's website (which is legal afaik)

[remote sparrow]

did you remove the cover and/or the back cover? usually the cover page is a different size than the rest of the pages

https://www.ilovepdf.com/

i like this site

[trail hemlock]

same

wait why didnt i remove the cover 🤦‍♂️

[remote sparrow]

also you can print to PDF such that the pages conform to one of lulu's approved book sizes

[trail hemlock]

ghostscript seems to have done the trick

thanks

[remote sparrow]

never heard of ghostscript

what can it do?

[trail hemlock]

well for one it can convert to a5 paper pretty easily
gs -o output.pdf -sDEVICE=pdfwrite -sPAPERSIZE=a5 -dPDFFitPage input.pdf

[remote sparrow]

that's pretty nice

looks like their website is down now though

[molten gulch]

it's come to be our favourite tool to work with PDFs of any OS frankly (linux)

we mostly use it to combine pdfs

[trail hemlock]

also shoutout pdftk for letting me export bookmarks from 1 pdf and slap them onto another

[molten gulch]

ooh yeah pdftk as well

so our normal workflow is some mix of pdftk and ghostscript

[remote sparrow]

idk what that is either

[trail hemlock]

https://superuser.com/questions/276311/how-to-import-export-and-edit-bookmarks-of-a-pdf-file

[unique bear]

Can someone recommend me a good book for self reading on differential equation

[wispy moss]

is it also good for data science ?

[vocal egret]

did anyone read "Basic algebra for college students" by Lawrence Gilligan? Looking for infos rn, I might need some books to revise algebra if I forfor in univ

[remote sparrow]

not sure what is part of data science, but a fundamental understanding of statistics would certainly be necessary

[remote sparrow]

#book-recommendations message

[open merlin]

How much of an ODE prerequisite is there for Lee's Smooth Manifolds? Like, is it worth working through a book on them beforehand, or is the appendix + looking things up as I go probably enough?
(It's going to be a good while before I'm ready to read it anyhoo, so no rush)

[rich sun]

not much beyond maybe basic existence and uniqueness theory of ODEs that you can just blackbox

it's more important to have a solid linear algebra and multivariable analysis background

[open merlin]

thanks! Any multivariable analysis recommendations? I keep hearing manifolds are the "correct setting" for multivariable analysis, so I thought Tu and/or lee would cover that

[remote sparrow]

hubbard is great for a learner, but it is admittedly disorganized as a reference and there are some idiosyncratic takes

you might profit from dipping in and out of shifrin

[vocal egret]

Some books that I found for a dollar, and I can't buy more than one (cuz budget), idk what to buy for CS :

• Schaum's outline of theory and problems of introduction to probability and statistics (SI edition, blue book; so relatively an old book), can't be found in goodreads 😦
• Schaum's Outline of Advanced Mathematics for Engineers and Scientists (I can't really fimd this particular version online)
• Schaum theory and problems of vector analysis (1981 SI metric edition)
• Nonlinear Ordinary Differential Equations by Grimshaw

Any recos in the list? idk what other book is available, but this is available for me for a dollar (approx)

idk what to do rn ivhsOICOnnvovbv

[vocal egret]

Just realized, why not all-

[open merlin]

I don't see the point getting random cheap textbooks, as opposed to finding pdfs of good books you'll actually use. (& then buying them if you really want)

[vocal egret]

I checked the contents of Lipschutz's recent books (his newer edition), and I really liked his book. I just need one for revision, or for a new topic

thx for the tips

[thin swan]

The more exercises the better

[vocal egret]

tru af

[wild coral]

Can anyone recommend a book that introduces number theory

[vocal egret]

I'd go with Titu Andreescu number theory or AOPS number theory. tbh, just check it out if it seems your style, some books about this topic is dull tbh

available in libgen.is

[fallow mirage]

Hey, does anyone know any good resources for Fourier transform? I've took a bit of a break from academia and was looking to recap some topics

[gray jungle]

at what level are we talking? or rather whats your background?

[fallow mirage]

Im going into a PhD for theoretical physics. But I think I'd prefer a maths style textbook rather than applied like engineering or physics ones usually are

[gray jungle]

Do you know measure theory ?

i.e lebesgue integration

[fallow mirage]

Partly. I did quite alot of maths modules in my undergrad then half of my masters was maths so I think more advanced stuff should be okay

Yeah I've done work with Lebesgue integration before

I've worked through some of a measure theory book. I think it was an intro one by Terrence Tao? I can't fully remember

[gray jungle]

Katznelson introduction to harmonic analysis is a good book imo, see chapter VI for the fourier transform, people here also vouch for grafakos classical fourier analysis as a great read, however how easy it is im not sure.

[fallow mirage]

Alright, I'll have a look. Thanks for the help!

[gray jungle]

Something more elementary is stein and shakarchi fourier analysis

np!

[trail hemlock]

oh yes i LOVE this text so far

[grim delta]

Any good book in linear algebra?

[trail hemlock]

#book-recommendations message

[tender river]

you need to elaborate what kind youre looking for. But ill leave these here anyway https://hefferon.net/linearalgebra/ and related video series https://youtube.com/playlist?list=PLwF3A0R8OzMoMlE1-SaEh8h9VqUlO-r52&si=BaHge4N8WIAXYwxv for whoever wants a matrix analysis/applied LA course

[grim delta]

Basically an introduction to linear algebra, I'm having this topic next year, so im trying to go one step ahead

[tender river]

you could share the course syllabus if you have it

[grim delta]

nope I don't :/

but with the basics im fine

with the materials you gave me I think it's more than fine

[gray gazelle]

Hi, I'm studying software engineering as self taught and I noted that I need the math knowledge because I dropped out high school in adolescence and now I would like to learn all high school math from scratch maybe with some books, Do you have any suggestions about this ?

I need a structured path

any help is welcome

[thorn cloak]

highly recommend the lin alg series by 3b1b. Ngl, if you can understand the ideas presented youll most likely succeed in an intro Lin Alg course https://youtu.be/fNk_zzaMoSs

[grim delta]

Thank you very much

[grim delta]

https://raw.githubusercontent.com/TalalAlrawajfeh/mathematics-roadmap/master/mathematics-roadmap.jpg

Maybe this can help

[gray gazelle]

wow that's huge, but this seems more for math university or I'm wrong ?

[thorn cloak]

for hs math id just use khan academy. I think they have up to LA and MVC

[grim delta]

yeah, that problaby do it too

[thorn cloak]

havent used it for those so cant speak to it personally, but i think at that point you can prob switch to stewarts or another book

[gray gazelle]

mhmm fair enough, I was more inclined to books bc they seems more rigorous but since I want to study HS math is it better follow KhanAcademy path and then pass to books/lectures for uni math, yeah ?