book-recommendations

[naive lava]

lots of stuff in there

[timber mesa]

spectral perestroika lol

[hot gull]

What book is this?

[naive lava]

In preface it says, I wrote this with a mind to help someone get an intro to gauge theory

mf most gauge theorists don't know spectral geo

[naive lava]

nicolaescu lectures on the geometry of manifolds

[vital bane]

Meanwhile Algebraists

[timber mesa]

this book looks fun we almost read it in some other server https://michaellevitin.net/Book/

[hot gull]

To be fair, spectral geometry is useful for noncommutative geometry, which ends up being useful for QFT, as far as I recall.

[vital bane]

Oooh

[naive lava]

yeah but that's like

[vital bane]

Lmao I love the cover

[naive lava]

research level type of stuff

[vital bane]

ghost on the cover since spectral

[timber mesa]

lol yeah

[naive lava]

afaik there are maybe like 1 book on noncommutive geo and qft's

[vital bane]

Spectral geometry is also useful when you go blind and you want to figure out the shape of the drum

[naive lava]

hmm

maybe not

do anything that discusses D-branes count?

[timber mesa]

it's on his site https://www3.nd.edu/~lnicolae/Lectures.pdf

[naive lava]

even if doesn't really mention ncg

[hot gull]

I really need like

A book that's "intro to the differential geometry of gerbes" for people with monkey brains (me)

[naive lava]

Tu

ong everything Tu writes is pure gold

Tu develops most of the theory on R^n first

[hot gull]

Full name of the book?

[naive lava]

then moves onto the manifolds

[naive lava]

An introduction to manifolds

I believe

[hot gull]

Nah, it doesn't have anything on gerbes

I think you might mean "Differential Geometry: Connections, Curvature, and Characteristic Classes"?

Nope, that also doesn't have gerbes

[naive lava]

oh wait

gerbes

I missed that

[hot gull]

Yeah... 😅

[naive lava]

wait i might have ONE MORE TU BOOK

nope

sorry

lang maybe, if you decide to consider subsets of his books

[rigid trail]

What's every standard subject

Real、complex、algebra、topology、geometry?

、

Chinese

It's the comma for listing specifically

Hmm yeah I'm not sure

If you are including the lower level ones like calcs and linalg and odes

[dim pendant]

The best candidate is definitely Serge Lang

[rigid trail]

Lang has calcs too?

[dim pendant]

Nope but can you think of anyone more prolific in undergraduate and graduate level books

[rigid trail]

No

[dim pendant]

Boom

[rigid trail]

Yeah I don't know if any did all of that plus calcs

Calc is kinda irrelevant if you are already writing all of that I guess

[dim pendant]

True

[rigid trail]

Like just pick up the analysis book and that tells you all the calc ig

[dim pendant]

TRUE

[rigid trail]

calc math is the new highschool math 🗣️

[dim pendant]

Also im a huge proponent of replacing Spivak with Zorich

[rigid trail]

Never heard of zorich

What does it have going for it

And I assume calc? 3?

[naive lava]

yep

2 or 3 of them lol

[rigid trail]

Damn

[dim pendant]

Zorch is basically real analysis but done in a mostly self-contained manner that is also suitable to students who want to practice basic calculus problems

[rigid trail]

huh

[naive lava]

lang really takes you from hs to grad level

[rigid trail]

Sounds like conflicting goals ngl

[dim pendant]

So you could skip calculus and do Zorich and end up learning calculus and analysis

You do the analysis but he has optional applied exercises basically

[naive lava]

only if you have infinite patience and infinite divine intuition tho lol

[dim pendant]

Given that "Basic mathematics" exists this is just too true lmao

I can't imagine being forced to learn rigorous math as a kid

If only we had another Terry waiting around

[rigid trail]

#book-recommendations moment

[naive lava]

get 2 kids

beat one constantly

[dim pendant]

💀 💀 💀 💀 💀 👽

[naive lava]

make other one read serge lang forcecully

[dim pendant]

See who ends up with the happier life

[naive lava]

let's see which one develops mental problems first

[rigid trail]

I think the beaten one is better off

[dim pendant]

No dude because the kid will reach his book "Algebraic number theory" and then everything will be put into perspective

And he'll be like "so this is what it is all about"

[rigid trail]

Nah he won't be around to get to that point

[dim pendant]

LOL

"I've had enough.. I'm sick of reading Lang. God forbid I study another author's work."

[rigid trail]

https://tenor.com/view/luigi-sleep-blank-gif-14745092555420044165

Average lang book

[dim pendant]

Me reading the book of instant death

[naive lava]

"go find a book on homological algebra, prove all theorems and do excersizes and come back"

[dim pendant]

"who are you now"
"I identify as criminally depressed"

[vital bane]

infamous is the word you're looking for

[bleak ether]

Could someone recommend me a book about geometry

[normal crystal]

I guess we should be thankful Chipper didn't link directly to the epub

[heady ember]

I saw some stuff about D-branes the other day: ||TikZ stuff, that is||

[naive lava]

no

[cunning elk]

the beginner algorithms can be taught to 5 year olds

[naive lava]

yeah but it's not gonna be in intro to algebra course

[cunning elk]

lmao yea

[brisk crypt]

Hi can somebody recommend good books relating to combinatorics and probability which contain problems and their workouts?

I don't need much advanced book just a regular one

By regular i mean not too basic
But not too advanced like menage problem and stuff

[cunning elk]

bona's walk through combinatorics is a decent intro text

[vital bane]

You don't need AA for solving Rubik's cubes lmao

I learned how to solve 3x3 before I learnt group theory

[cunning elk]

like i said

the basic algorithm can be taught to a toddler

no algebra knowledge needed

[vital bane]

But I think you want to ask "how do I use AA to come up with Rubik's cube algorithms"

[brisk crypt]

Thanks I'll try that

[gentle jasper]

Does anyone know of a lecture series that teaches out of Apostol's book. I'm trying to prepare for an honors course that teaches out of it. So, I want something to go along with me reading it.

[vital bane]

Apostol's Mathematical Analysis?

[vital bane]

Learn AA and find out!

[fresh skiff]

engineering student do learn AA, it depends upon your program (if its CS then yes, idk much about others)

then certainly depends upon the univeristy (like also not in my uni, CS majors do not learn AA)

[snow salmon]

Has someone read Herodov?

@spring night Have you?

[spring night]

tf is herodov

[snow salmon]

It's a hard, pretty hard question bank-ish book

[spring night]

oh you mean irodov

yeah it's trash

[snow salmon]

Ohhh yea

That's how you spell it

😭

What abt SL Arora?

[spring night]

trash

i really only like a few books if ur specifically asking for jee

[snow salmon]

Ohh you're indian

😭

[snow salmon]

For physics I'm doing HC Verma rn

In 10th grade rn

[spring night]

i also dislike that book

[snow salmon]

It's a good introductory book

I mean I've just started

[spring night]

fair enough ig, do your thing

[snow salmon]

(What if I change my mind and go for NEET?? 😭 )

[snow salmon]

What do you reccomend then?

[spring night]

idt this convo's gonna be productive

[snow salmon]

Ikr 😭

Which book will you reccomend?

[spring night]

ashish arora

[brisk crypt]

What would you suggest for jee phy then

Hrk?

[vital bane]

Landau Lifshitz

🗿

[snow salmon]

Oh damn

Good taste

[gray gazelle]

🗿

[tribal crow]

[cedar grotto]

Does anyone knows a website where i could practice boolean algebra problems?

something like codewars but for math

[normal crystal]

I mean
90% of their catalog is reprints of abandoned by above

[manic cairn]

art of problem solving, i’d say

[cunning elk]

boolean??

ik they've been working on their own CS curriculum but i don't think it's nearly as comprehensive/well-established as their contest math curriculum

[manic cairn]

i did this during high school and have a gap for differential equations because there wasn’t a serge lang book on it

did use munkres tho

[molten gulch]

lmao

[naive lava]

[dim pendant]

My dumbass almost asked "what does qed mean for mathematicians" 💀

[coarse talon]

hey yall, is it recommended to use FIS as a first course in linear algebra for someone in engineering? tried strang's but wasn't really for me

[mortal ore]

did you get the therapy you clearly needed?

[fresh skiff]

FIS is one of best

[desert quest]

Wdym Boolean algebra problems

Surely use a textbook (?)

[desert quest]

I guess pathfinder

The book is not very good though

JEE physics in general is kind of yuck

For an intro physics book use HRK yeah

Oh Verma is probably the best out of the JEE books

[desert quest]

Good books

[tough zealot]

https://math.utoledo.edu/~niverso/algs.html

May be a relevant link

[cedar grotto]

For example:
simplify:
F(A, B, C, D) = (A + B)(A’ + C)(B + C + D’)(A + B + D)
Or more advanced problems

[brisk crypt]

Check your understanding is way out of advance syllabus

Dwells more into olympiad level

[humble spire]

Any recommendations for a textbook to self study precalculus?

Paid or free does not matter

[molten gulch]

https://www.stitz-zeager.com/Precalculus4.pdf

there's also stewart's precalc

[humble spire]

Thank you for helping!!

[manic cairn]

Lang, Basic Mathematics

[floral lantern]

FIS does a better job of balancing computation with theory than Axler

[humble spire]

Thank you!!

[gray gazelle]

Yeah I should’ve seen that coming as soon as I saw your name

[molten gulch]

Linear algebra done right

by sheldon axler

is my first thought at you saying springer

My kneejerk suggestion would be FIS or if you need purely computational, something like Lay Lay Mcdonald

but neither are springer

[remote sparrow]

i don't own any linear algebra books from springer now that i think about it

o wait

forgor about axler

actually shilov is published by dover

weird book tho

[median fossil]

Perfect for someone who wants determinants 😂

[orchid otter]

Maybe Howard Anton’s elementary linear algebra?

[warm fiber]

Any recommendations on an introductory combinatorics book with both theory and challenging problems?

[molten gulch]

Bona a walk through combinatorics

[vernal pewter]

Serre('s nephew) has a GTM titled "Matrices" which is quite an interesting read, not really an introductory book though.

This book is organized into ten chapters. The first three contain the basics of matrix theory and should be known by almost every graduate student in any mathe-matical field. The other parts can be read more or less independently of each other.

[remote sparrow]

https://fixvx.com/charlemagnumpi/status/1923822196058718446?s=46

🚩Dan Credentials🚩 (@CharlemagnumPI)

The principle of Right of First Sale (that an object, once purchased, is yours to dispose of as you see fit) undergirds the legality of lending libraries as well as used media stores and is regularly under attack by publishing conglomerates.

QRT: HSRdirector
wait what

vxTwitter / fixvx · May 17, 2025, 7:25 PM

the new york rag is back at it again

https://tenor.com/view/mods-low-tier-god-gif-7063766479042034257

[molten gulch]

obviously yes

[tender river]

there's johnstons two volumes and also serge langs linear algebra you can look at

[trail hemlock]

https://www.plrinternational.com/

[normal crystal]

Chipper, I regret to inform you
you're a Potato patented by Monsanto

[dapper root]

Oh my god….

[heady ember]

https://tenor.com/view/eminence-in-shadow-cid-kagenou-gif-2303387590338146009

[golden salmon]

you know how you can support publications by buying their paper? I wish there was a 'tax publication more' option and you could link specific articles that made you do it. Cos this made my blood boil

[vestal junco]

Good topology book for beginners?

[naive lava]

Is is ethical to sell something that belongs to you

[uneven island]

Munkres has some nice books u can check em out.

[twilit pecan]

is borrowing books from the uni library 1 day before graduation ethical =.=

[naive lava]

wait

you guys can't borrow books after you graduate?

[wise imp]

for anyone really serious abt math id recommend Everyday Mathematics, Grade 4, Student Math Journal Volume 1, specifically the 3rd edition

[dim pendant]

I love that one! I've got a copy of it on my shelf!

[dim pendant]

Dugundji

[fresh skiff]

Really it is for beginners?

[dim pendant]

If it covers the basics of topological spaces, it's for beginners, especially considering how long American students wait before seeing topology

[naive lava]

janich is a good overview imo

like if you're not that serious, it's short, it's readable

[dim pendant]

Good shout

[limpid rose]

Hey guys, I'm currently reaching the end of my least enjoyable semester so far and I have learned that I'm definetly not a Real Analysis person.

I really really enjoyed Abstract Linear Algebra I and II and I feel like Graph theory might be something I'd enjoy.

Can someone recommend a book on graph theory to read on the side to keep my love for mathematics alive while I suffer through this semester?

I'd love something with a lot of exercises, I'm planning on taking a rigorous course on Graph theory next semester so there is no need for too much rigour but it should also be suitable for a math major.

Hope that is not too much to ask 🙂

[limpid rose]

Springer would be great because I can Download those for free, but if that would mean I'd have to take a less suitable book I don't mind spending money.

[fresh skiff]

Oh

[limpid bear]

you could try diestel's book, it's on springer but you can also just go on his website and grab the chapters directly from there if you want (https://diestel-graph-theory.com/)
also got some lectures posted on YT quite recently https://www.youtube.com/@DiestelGraphTheory

[dim pendant]

I mean it is a legit question though. Dugundji could very well be too hard for some beginners. It is what it is. I just have the personal opinion that if you can write and read proofs, you're capable of studying any book that you're prepared for, with notable exceptions like Baby Rudin. I mean you can study it but many of his own proofs aren't clear in how one is to produce them from scratch.

[fresh skiff]

oh i see, yeah i have gone tho a few chapters of rudin (personally love ch2-- basic topology). I know ch4 and 5 a bit. Will revisit all the stuff again soon. In this case, maybe Dugundji works for me (idk have to take a look on the book)

[dim pendant]

What are your mathematical interests? For many undergrads metric topology is good enough

[real marsh]

A piece of advice if you’re reading something like Dugundji

Something people often miss when they first learn topology is the point of topology is to study continuity and continuous functions, it’s not really rubber sheet geometry, that’s vaguely algebraic topology, and to do that you need at least 1 abstract algebra course

[limpid rose]

looks great I'll try it out! 🙂

[rain comet]

Hi guys, any chance someone could recommend a textbook (and workbook) for self-teaching calculus? I'm trying to learn now because I have to take a class soon and want to get myself into a somewhat decent understanding before throwing myself and my sister into the same class. Thank you in advance for the recommendations!

[naive lava]

stewart, adams, these 2 are standard and self-studyable

[rigid trail]

yeah you dont need books for calculus

[cunning elk]

the market is flooded with resources most of which are isomorphically bad

[dapper root]

X is isomorphic but Y is not

[rough umbra]

What're some good books for point set topology?

[tender river]

the analysts here like willard

theres also these supplementary notes http://alpha.math.uga.edu/~pete/pointset.pdf

[worthy kindle]

i used conway's point-set book. its pretty nice.

[naive lava]

janich, munkres, willard and some people like kelley

[worthy kindle]

http://www.math.toronto.edu/ivan/mat327/?resources
these notes as well. it has the big list of problems, if you have heard of that.

[worthy kindle]

kelley my glorious king

[naive lava]

nets and shi

[rough umbra]

thanks

I've seen lee's topological manifolds book mentioned a few times, any experience with that?

[worthy kindle]

i liked it. its pretty much self contained. the appendices are very detailed, the exposition is nice, the problems are interesting. all in all, a nicely written book. but not for learning everything in a first course in topo as much as for learning enough topo to move onto more interesting shit

[dapper root]

ITM is good if you want to just get into diff top and diff geo, but it won’t cover nitty gritty point set stuff

Like I think it doesn’t touch as much on the classes of separation axioms because for what you’re studying in manifold theory everything is already really nice

[naive lava]

what field of math are you interested in specifically?

[rough umbra]

generally comm/noncomm ring theory, alg geo, alg top have been interesting to me so far

I'm not a big fan of point set topology, I just need a book for an exam on it in the fall

I guess that's important context, my bad

[fresh skiff]

in general Alg geo, Alg top

[fresh skiff]

oh, so general toplogoy (set point topology) is likely about continuous functions and related stuff

[open steeple]

Dumb question but how do yall buy textbooks

New or used in most cases?

[rough umbra]

either pdfs or ams for the 2 i really wanted physically

[open steeple]

Ams?

[rough umbra]

American Mathematical Society, bc I couldnt find them elsewhere

(Noncommutative Rings by Herstein and Hopf Algebras and Their Actions on Rings by Montgomery)

[dim pendant]

Definitely avoid buying physical books in excess. Get what you can "for free" in PDF form until you've found your personal interests, and then buy useful books for the study of those interests.

Back when I was a silly kiddo I would just buy any book I could get my hands on if it seemed nice and now half of my books are just not being read and I regret it

100x a physical book is nicer than a pdf at any specific point in time

If you can, borrow until you're studying your passion, and then buy your favorites

For reference
#advanced-lounge message

[normal crystal]

but when Chipper wants to sell some books
"I sure hope some studious intellectuals could give my treasured texts a new home"

[dim pendant]

Hopefully I don't sell those to anyone on this server since that would be in direct violation of my good and caring advice

Most of those are such low undergraduate level or so random and niche that they wouldn't be put to good use

Insert skeleton dancing meme

Fr how is this book recommendation channel but I can't send images here

[remote sparrow]

i should take more pics of my current book collection but i also don't want to go to the trouble of putting books back in my bookshelves

[remote sparrow]

you need active+ or emeritus

[dim pendant]

Stankin ahhh

[normal crystal]

yea, no point in dismantling your current makeshift bed

[remote sparrow]

funny, my mattress does happen to be on the floor

[dim pendant]

People don't realize how goated mfs who sleep "on the floor" are

[fresh skiff]

i mean yes i like your advice, moreover it hurts more when you dont have anymore place to keep your books lol

[dim pendant]

Bro has to create a library space to store all their books

[remote sparrow]

well a drawer was just made available for me several days ago

[normal crystal]

4 out of 5 unlicensed dentists recommend sleeping in a ditch by the road
for optimal health

[dim pendant]

Someone tell me who these dentists are so I can switch up

[slate pilot]

What if you download the book onto goodnotes on ur iPad? Read like a kindle

[dim pendant]

They have their cons but their pros should not be understated

[livid lintel]

Yeah

[queen escarp]

best book for beginner calculus

[tender river]

https://realnotcomplex.com/analysis/calculus

[fresh skiff]

can i get to know any resource or book name that contains the construction of reals

[dim sierra]

Tao does it so does Rudin so does Pugh I think

[fresh skiff]

let me check (i have seen in Rudin but its ch1 was horrible lol so i skipped this proof -- thinking maybe he has left of the things for the reader again lol)

[slender cargo]

Abbott Understanding Analysis walks through a construction of the reals at the back of the book through a series of exercises

Spivak Calculus as well

[tender river]

Amann escher vol 1 goes through both the two famous approaches thoroughly

[green gorge]

Little red book

[tender river]

landau?

[fresh skiff]

Iirc i have seen this

[fresh skiff]

Will check it as well

Thank you guys for these recommendations

[odd sentinel]

Currently going through Spivak’s Calculus on Manifolds. I’m pretty early on, and I’m liking it so far. Just wondering then if anyone else has any particular feelings towards that book?

[desert gate]

I've heard of a professor recommending it as summer reading, fwiw

For a student with a mvc and linalg background

[odd sentinel]

Mvc?

[ripe pagoda]

multivariable calc

[odd sentinel]

Mmmm gotcha

[heady ember]

Enderton's Elements of Set Theory covers the construction of the integers from the naturals, and the construction of rationals from integers---via equivalent classes (the standard way). Then, using Dedekind cuts, the reals are constructed.

For the construction of reals from rationals via Cauchy sequences, see that one Baby Rudin exercise on the completion of a metric space.

[fresh skiff]

thats cool

thank you grass

[heady ember]

[dim pendant]

Schramm also has one that, as far as I recall, doesn't involve doing any actual analysis

Or maybe only uses very little I hardly remember

[fresh skiff]

are you talking about Schrams set theory book?

[rigid trail]

i think most real analysis books do

[dim pendant]

Schramm's "Introduction to Real Analysis"

[dim pendant]

Probably

[marsh arch]

can i say a book recomendation

its about goldbachs conjecture

its really nice

[rapid oxide]

are the for dummies books good for math getting in like there is algebra for dummies, etc

[tribal crow]

good problems, but quite terse and sometimes difficult to read

[peak hearth]

chat do people go to concerts alone

i feel like a loser for doing so lol

[stable flicker]

yes

Also why #book-recommendations ?

[peak hearth]

oh

i thought this was discussy

[rigid trail]

what kind

i go to classical concerts alone, it's really really nice

[peak hearth]

i wanna go to a soad concert

but all my irl frens don’t listen to soad

[rigid trail]

sadge

[peak hearth]

and no one wants to buy tickets

[rigid trail]

no one listens to classical either

[peak hearth]

i do

[rigid trail]

👑

[peak hearth]

liebestraum is def one of my favorites

maybe Rachmaninoffs Prelude in C# Minor too

[dim pendant]

Of course. Though to be convincing you should say what you like about it.

[fresh skiff]

what could be the good book for revising ODEs stuff (for PDEs strass is more enough enough i believe)

[short minnow]

highschool?

mathematics higher level for the ib diploma is super good imo, helped me a lot

everything you would possibly need to know for high school is in there and explained incredibly well

cd-rom includes extra topics

[fresh skiff]

no. Assume i know like of linear algebra, real analysis, and have already taken first course in ODEs (it was full of computation)

[short minnow]

oh

hmmm

[fresh skiff]

yes, i need it just for a quick revision maybe

[short minnow]

what course are you taking

[fresh skiff]

well i am about to graduate. But i do need for self study

just finished second last final exams of UG

[remote sparrow]

#book-recommendations message

[remote sparrow]

boyce and diprima

[vast jackal]

how th did you endure lang's book?

[marsh arch]

theres this book called uncle petro and the goldbach conjecture

its an amzing book

and i recomend it because its phylisophical

but also has mathematics

and the ending had me shocked

[charred parcel]

Any book recommendations when studying yourself (Mostly Calculus)

Thanks in advance

[rigid trail]

khan

[charred parcel]

khan?

[rigid trail]

academy

[charred parcel]

I prefer books

[rigid trail]

Stewart calculus works

[charred parcel]

Alright, thanks

Ill check it out 👍

[rigid trail]

I'm kind of against learning basic calculus from books though

[charred parcel]

I do know some stuff already sooo

from videos

but I wanted to go into depth now

[rigid trail]

have fun

[charred parcel]

thanks

[dim pendant]

In what way do you want to increase the depth? A second pass will almost surely just have you refreshing theorems and some techniques here or there

[hot gull]

Any recommendations for textbooks on analysis via the hyperreals that thoroughly explore the properties of said number system (e.g. their topology, algebraic quirks, behaviors of functions on infinite(simal) numbers, etc.), but at a level palatable to undergrads?

[rigid trail]

because there are a million and one free resources online, a book feels like a waste

there are seas of free high quality exercises online

ideally you wouldnt be doing too many exercises, rather few but challenging

for the screen phobic, printers are handy

ive printed so much

[hot gull]

There's been proven research that physically reading and writing things helps you remember content better.

[rigid trail]

well ofc you should be doing problems with hand and pen

screen or not

(i should be telling myself this bc i type stuff up in latex wayyy too much 💀)

[hot gull]

It's more to do with the tactile nature of writing, as far as I recall.

It takes me way longer to format LaTeX than it does to write out equations.

And I can guarantee you that writing them out is still more helpful for remembering.

I think there's been a separate one for math...

I can't recall, though.

[remote sparrow]

https://math.stackexchange.com/questions/2624965/textbook-recommendation-for-non-standard-analysis

way more advanced, but i noticed this was on sale
https://link.springer.com/book/10.1007/978-94-017-7327-0

[hot gull]

chat gippity

[hot gull]

Thank you!

[remote sparrow]

https://youtu.be/cRQqH18wJgw

[grim ore]

I do, but what are we talking about?

[cunning elk]

I latexed all my prob/stat notes last year

went back to paper this year

retention concerns

[grim ore]

Oh lol, I take paper notes in class, but also regardless of taking paper or digital/latex notes, you cant really learn and understand material during a lecture, especially if you have a prof who just speaks all the time. Also I have done both paper and latexing in the past

[grim ore]

Exactly

I do paper notes in class, put in my own notes or questions that i jot down and have answered after class on paper and then clean them up and type them up in latex after that day

And ofc there are more steps to studying other than just notetaking but thats a pretty good start

We can move to #math-discussion since this isnt really relevant to book recs

[rigid trail]

no notes

lock in

i straight up do not have time to take notes

during lectures

do not have time to think, at least

provided that i am note-taking

like if prof is writing a proof, i could choose between copying it down as he writes or actually trying to understand it as he explains it

it isnt realistic for me to do both at once

it really isnt much better

i do cursive

[signal mountain]

i feel like this is the equivalent of saying "i learn to swap to dvorak so i can type faster"

[rigid trail]

im over here using colemak lol

[signal mountain]

youd be better off just .. learning to type faster

[rigid trail]

not for speed purposes

yeah

now nvim is good

that is an actual speed boost i'll grant you that

why did i get thisnt'ed 😭

[signal mountain]

havent even heard of this one

why do you use it

[rigid trail]

homerow

very comfortable

[signal mountain]

ah i never learned to type like that

[rigid trail]

also much more balanced than dvorak, dvorak is super right hand lopsided

qwerty is slightly left hand lopsided

colemak is super balanced

also most of the keyboard shortcuts are the same in colemak compared to qwerty, eg ctrl c ctrl v ctrl x ctrl z

[merry sphinx]

ngl i have no idea what i will do in uni, taking notes during a lecture seems very uncomfortable, i'd rather make notes reading the assigned book at home, but then going to a lecture after might feel stupid

since i've only been self studying

[rigid trail]

i play WASD games using colemak bindings lmaooo

[signal mountain]

i mean youre going to need to interact with the content more than once

i could see this being a very good appraoch

[rigid trail]

and i do nvim in colemak bindings

[signal mountain]

you get more out of the lecture because you alr have an idea of whats going on
and you can just take away key insights that the prof mentions or the likes

[rigid trail]

uhh on a qwerty keyboard the stickers would be W -> W, A -> A, S -> D, D -> G

[merry sphinx]

i do intend on going to some lectures so ik my profs and so on, but it depends on when i get there i guess, and how much i know by the time i'm taking whatever class

[rigid trail]

(W, A, S, D) -> (W, A, D, G)

qwerty stickers

it is probably worse than WASD but at least i have different fingers for up and down

ring W and middle D (S on qwerty)

not terrible actually

using qwerty is a pain for me now

[merry sphinx]

this is #book-recommendations

[rigid trail]

ive been on the colemak coke for 5 years

sorry

pls forgive 😔

i truly honestly thought this channel was #discussion-4

i did that before does that count

im just too used to nvim bindings

and i have a crippling config-ing addiction

How does one add custom snippets in helix

idk

like you type something

and it autocompletes to something specific

i can type "dv" in nvim and it completes to "\frac{\mathrm{d} $1}{\mathrm{d} $2}"

because thats what i set

👍

[last cipher]

DHL is taking their sweeeet time with my book

[naive lava]

so, i need bundles

fibers to be exact

I want some examples and problems

any advice?

rigorous kind of this is new to me

so yeah

[lapis sundial]

Is there something you need them for?

[dapper root]

Holy shit

[naive lava]

physics applications, mostly

so connections on them would be nice

I tried an "intuitive" explanation from physics books

but they barely give a good defn

[dim pendant]

Holy shit, Potato bundles

[lapis sundial]

Lol nice

[cursive rivet]

you probably want a general text on vector bundles and principal bundles (the study of such is the mathematical subject of "gauge theory", not to be confused with the physical gauge theory). assuming you know smooth manifold theory and most likely also Riemannian geometry (if not you need to start there, not sure if I have great books aimed for physics students but they are 1000% out there), a book aimed at both physics and math students that's pretty good is Hamilton's Mathematical Gauge Theory. I'm strongly of the opinion that a great gauge theory book is yet to be written though.
some other options are Tu's Diff Geo: Connections, Curvature, Characteristic Classes (easier) and John Morgan's Introduction to Gauge Theory in the book "Gauge Theory and the Topology of Four-Manifolds" (much much harder)

[quasi umbra]

bumping this

[muted tusk]

Taking Abstract Linear Algebra next semester at my Uni and looking for a textbook that goes over some of the stuff to prepare. Here's the course description:

The fields of real and complex numbers, vector spaces over general fields, subspaces, span and linear independence, bases and dimension, existence of bases, linear coordinates, linear transformations and matrix representations, isomorphism and change of basis, diagonalizability, inner product spaces, the Gram-Schmidt process, unitary operators and orthogonality, normal operators, self-adjoint operators, and the spectral theorem, Jordan canonical form.

[remote sparrow]

hoffman and kunze; friedberg, insel, and spence; garcia and horn

[rough umbra]

Is Eisenbud Harris equivalent to something like hartshorne or vakil?

[cursive rivet]

I love it! (similar to Lee's other writing in terms of style). I think I wrote in #diff-geo-diff-top something about it, I'll see if I can find it

[cursive rivet]

starting here #diff-geo-diff-top message I wrote a very brief breakdown, in short, it's very beginner friendly (assuming the usual smooth manifold theory and a little riemannian geometry and algebraic topology). it's most similar to Huybrechts in scope, but far more beginner friendly (explains sheaves and their cohomology), but a bit less advanced material (no deformations of complex structures, Hirzebruch-Riemann-Roch, and less on the algebraic geometry side of things, but neither have much)

but similar coverage overall, and if you like Lee's writing (I do), it's a great first book in complex diff geo

never read voisin, griffiths harris is great (though so many typos) but not really in the same vein aside from the starting coverage in chapter 0 and some of 1, though its techniques are much more differential than other alg geo books

the other usual recommendations are Moroianu's lectures on kahler geometry, wells' differential analysis on complex manifolds, and demailly's complex analytic and differential geometry, which I briefly talk about in the link

[cunning hollow]

Any book recommendations for matrices and vector space

[naive lava]

hamilton would've been amazing but my library doesn't have it,

same with the tu unfortunatly

[magic raft]

axler https://linear.axler.net/

[serene bramble]

Any book recs to read when u have too much free time perhaps to learn more Maths, for pre-uni students?

[timber mesa]

you could try something like the Art of Problem Solving books or something like Mathematical Omnibus which shows some interesting math in an elementary way

or you could just read some proper math book that interests you, maybe pick something from Hammack's Book of Proof if you're interested in maths and proving things and such

Burton's Elementary Number Theory also comes to mind as something very readable even for people just starting out with "proof math"

and is a very well written book imo

[serene bramble]

Thank you so much!

[dim sierra]

btw isn’t Griffith’s Harris super unrigorous

Their topology of manifolds section in chapter 0 was being so vague about intersecting homology classes saying that we can “perturb them to be transverse almost everywhere” and stuff

[dim pendant]

As someone who loves writing, this feels almost like a challenge to learn so I can write a "great gauge theory book"

[olive crag]

https://archive.org/details/bub_gb_zA4TAQAAMAAJ

Infinitesimal calculus at its best. De Morgan was a real 🤝 deal. This was so good.

[full cairn]

I just bought Lie Groups by Duistermaat and Kolk for 18 EUR on Springer https://link.springer.com/book/10.1007/978-3-642-56936-4

springer sales are so unpredictable, just came across it by chance

[cursive rivet]

i'd say closer to "often sloppy" than super unrigorous, closely related to the problem of the extreme quantity of its typos

[stable flicker]

Shipping?

Or is shipping always going to be expensive anyway so it doesn't matter

[full cairn]

It says free shipping worldwide. It almost sounds too good to be true, I'm slightly suspicious

[stable flicker]

Hopefully that's true

[fresh skiff]

What free worldwide shipping? Amazing

[proud osprey]

I got a textbook for less than a euro with free shipping once (not from springer though)

I didn't expect the order to actually go through but can't complain

[full cairn]

I'm assuming it was used? or new?

[fluid violet]

Any recommendations for books on coq?

[gray gazelle]

There is ancient one

Kama sutra I think

[dim pendant]

Coq = Categories o(is silent)and quivers

[remote vortex]

Categries?

[dim pendant]

Oops

[rain hound]

Software foundations as usually suggested is good. The docs are decent as a reference. Chlipala’s Certified Programming with Dependent Types is also good.

@fluid violet

Also it’s named Rocq now

[meager hawk]

hi
peles help me
I have a problem. I'm trying to solve time flexibility with math. We have a vision of a series of numbers that are repeating or a series of decimal numbers that are not divisible by anything at all.
p= 2X *9m =- 11
11 -= 0m + mp2 - 29 = 2.7580088765936458
OM = 0 -9 *1.2 + 0.4
mp = 8 + 7 * 78 - 3
and
x =?
m == X-2 * 82 ms

[molten gulch]

Please do not post the same thing in multiple channels

[fluid violet]

Thanks!

[quasi umbra]

wow, thank you so much!!

[open steeple]

Anything for algebra 2 👽

[cunning elk]

the level is so low that practically any source that doesn’t have outright incorrect information works

[worn reef]

Hello

I want a book that teaches the late transcendentals approach

[full pier]

Is serge Lang's undergraduate algebra and linear algebra textbooks good?

[willow merlin]

which book explain grassman/exterior algebra at an elementary level?

[willow merlin]

openstax books are open source and free

assuming you are referring to hs algebra and not abstract algebra though

[zealous ruin]

guys if you want books on algebra then read Elementary Algebra by Sir Hall and Knight

HIgher Algebra too

really neat books

the whole classic series published by Arihant is actually really good for late highschool - early uni

[molten gulch]

What alg books do you like?

[worn reef]

Does this have the late transcendentals approach?

[molten gulch]

Ahh, also by algebra I meant abstract algebra, not high school

but yeah I agree, stitz is great

[trail hemlock]

jacobson my glorious king

[dim pendant]

I just wish Lang put exercises at the end of each section or even every other section

I could never learn alg for the first time out of Lang. Even if I juste read the book I'd need a second book for proper exercise philosophy

[molten gulch]

I don't know if using Lang is recommended as a first text in algebra

[dim pendant]

It's good for grad students but in my opinion a book for grad students should be as accessible to an ambitious undergrad

Not in terms of tools but in terms of how the book is structured

[molten gulch]

<@&268886789983436800> scam

[humble spire]

<@&268886789983436800> scam

[rough umbra]

Real !!

[wintry mantle]

any good book for IMO algebra prep specifically polynomials?

must be theory book

[fluid skiff]

A good friendly machine learning book focussing more on the mathematical part

[dim pendant]

If you know calculus, try Elliptic Tales

[naive lava]

that's because Lang forget to put a proof of the inverse function theorem for banach spaces at that book

[cursive rivet]

i burst out laughing

[manic cairn]

lang’s algebra

[nocturne hatch]

How is the quality of CUP Paperbacks? (cambridge universityh press)

[naive lava]

I got one that had been pressed in 1988 and it's still holding up quite well despite constant use

just the first page is a bit shaky, if i pull, it'll probably come off

[worn reef]

Is the community Calculus book good?

[remote sparrow]

haven't bought new copies iirc, but they're fine

[worn reef]

https://www.whitman.edu/mathematics/multivariable/index.cgi

This one

[remote sparrow]

perhaps overpriced, as with most paperback textbooks

[worn reef]

It is Whitman's community calculus

[remote sparrow]

but if there's a pdf online, you could have it printed with lulu for a copy of comparable quality for a much lower price

[worn reef]

How do I read through it in less than a month?

[remote sparrow]

most mainstream calculus textbooks have a late transcendentals version

stewart's late transcendentals books is simply labeled "Calculus"

[worn reef]

I have to master multivariable calculus and differential equations in a month

Any pointers on the method of study required?

[remote sparrow]

i guess. some adjustments may be required

i've gotten a couple of people in the statistics server to do it too

no issues so far

[normal crystal]

print your books at Lululemon
be ready for both mathematics and white girl yoga

[remote sparrow]

maybe, but it's obviously not worth it for lulu to enforce it themselves

[worn reef]

I guess, some of them are already floating around on amazon

[normal crystal]

there are some mildly popular textbooks that don't even have real print books for new editions
or it's insanely priced
could probably print Shifrin Multivariable Mathematics🤔

[remote sparrow]

you could, but i'm always wary about scans

[normal crystal]

I think there a legit pdf
not a scan

[worn reef]

Some books don't have the best quality

I don't like the plastic pages, as well

[remote sparrow]

that would have saved me over $100 😂

[worn reef]

Some books have those plasticy pages

[remote sparrow]

i like glossy pages

[normal crystal]

anyway, this is creeping towards the No No Topic so 😬

[remote sparrow]

yeah me neither

[worn reef]

Colours are needed in a book's pages. Otherwise, reading the book doesn't make me feel very good.

[normal crystal]

the loose leaf editions for 120$+ are a sign this isn't working

[worn reef]

The stimulation makes me feel good.

[soft ivy]

NCERT - TOP BOOK

[soft ivy]

OF WHAT ?

[worn reef]

Zip it

That must be why #book-recommendations was created

[normal crystal]

if he needs colors for stimulation
calc, multi, and DE in a month should be something

[worn reef]

I agree. Paper with colours is the right style.

[worn reef]

One of my books is b&w

I've just kept it aside for now

One of the questions I solved from that book was a great question

I have successfully studied from completely b&w books in the past. However, I prefer mildly coloured books now.

Not too much though. Some books might overdo the colour.

[worn reef]

I'm taking on calc separately for a month.

Then I move on to differential equations and multivariable calculus.

2 months for them is all I've got tbh @normal crystal @green aurora

[dim pendant]

Yeah we're chronically in the math server you feel me

[worn reef]

I feel like I can do it

[normal crystal]

PING I mean actually 61 days
PING correction, it's 60

[worn reef]

I'm not sure

Trying can't hurt

But I'd rather not do things out of spite

I want to operate on determination and I also want to be able to talk to the achievers who have crossed this obstacle already... to have mildly advanced calculus discussions with my friends and the people in this server

Those are what I work with

[sour turtle]

I need something for calculus

Like

Difficult problems

And excellent theory

With proofs ofc

[remote sparrow]

spivak

[sour turtle]

Can I get the full name

[worn reef]

Are you in your 11th and 12th

[remote sparrow]

calculus

[sour turtle]

12th

[sour turtle]

Okk

[worn reef]

ncert and Amit m agarwal

together

[sour turtle]

JEE advanced level

[dim pendant]

Zorich "Real Analysis" or whatever

[worn reef]

Did you complete the theory first?

[sour turtle]

Yes

I have finished NCERT

[worn reef]

Alright, I'm not very knowledgeable on that part of the preparation

as I've yet to do it

[sour turtle]

Which grade?

[worn reef]

12th

[sour turtle]

Ohh same

Jee?

[worn reef]

Not focussing on jee rn

I don't have the time

[sour turtle]

Ohh

[worn reef]

But, I'll say Ncert+Amit m agarwal combo is good

You will need this server's doubt feature, however

To complete this combo

I used the combo for some time

[sour turtle]

Hmmm

[worn reef]

and I asked the busy helpers

It worked well

But I've put it aside for now

[sour turtle]

I reallt like olympiad problems

Like

[worn reef]

I'll focus on olympiads later

[sour turtle]

They’re really nice for brainstorming

[worn reef]

I have no time at all

Good luck

[sour turtle]

Hmmmmm

[dim pendant]

you're right

I looked it up a while ago

Zorich "Mathematical Analysis I"

it's a calculus and analysis course combined into one that manages to go into excruciating detail

using axioms is definitely not the way to do AP

you pass the AP exam by hammering actual applied problems

[cunning elk]

depends on what you want

remember that you're not limited to using one text to learn smth

so use some generic "AP calc" text to drill computational exercises with

and an actually rigorous one to learn the proofs of the major results

[vernal pewter]

I have one petty complaint about Zorich, which is the use of ln for natural log

[cunning elk]

[dim pendant]

They got it pretty much right. If you want to be a mathematician as soon as possible, you skip the garbage and go straight into the rough edges and whatnot. If you just need to learn to do the calculations, you take the naive approach, neglecting rigorous analysis and the likes.

well there lies your first mistake

[rigid trail]

Maybe learn rigor first then applications after

If you want both worlds

[wraith chasm]

Hey everyone

Do you guys think 1000 exercises in probability is a good book?

[subtle violet]

yes it's a good book although it's hard

should know analysis coming into it if you want to do anything past the first few chapters

note that the full book ("probability and random processes") has the actual reading material, 1000 exercises in probability is the companion book that just has the questions and solutions

[unkempt fractal]

Someone read Geova's "intro to p-adic numbers"?

[heavy egret]

hi

[dim pendant]

Sorry, I don't know of any books for "hi"

[cloud shell]

[buoyant dawn]

so i kind of have a quiz this week ab generating functions thats on the exact same day as a midterm from another course, and so i need to quickly learn and practice generating functions up to a semi decent level of mastery :>
what resources would yall recommend? the main textbooks for the course are rosen and bóna and ive also heard of generatingfunctionology but idk what to go for for this topic that could help me learn well + quickly, what do yall think?

[molten gulch]

generatingfunctionology

[buoyant dawn]

even considering the time constraint its still the best? :p

cuz like i thought i might be able to read all of the bona chapter on generating functions but idk if i can finish a whole chapter of wilfs

[vestal edge]

hey guys i wanna learn all the math required for AI/ML engineering , so can you guys suggest me books to learn the math for AI/ML engineering

[signal mountain]

linear algebra, plenty of recs for that in the pins / in you search this channel

[vestal edge]

oh so good books are already recommended

[signal mountain]

alternatively i had a quick google, you can check this out https://www.reddit.com/r/learnmachinelearning/comments/adwft2/all_the_math_you_might_need_for_machine_learning/

seems probability also plays some role

[vestal edge]

yeh i think probability is really important in AI/ML

thanks man

[flat osprey]

Any recommendations on some interesting books that one could read on a 14 hour flight? Preferably one that either a girl and/or a chemical engineer would like to read.

Any genre is fine, just curious on some books that you fellow math enjoyers might have to recommend

[vestal edge]

would you like to read a book on impact of calculus

[flat osprey]

Sure, why not

[vestal edge]

Infinite Powers: How Calculus Reveals the Secrets of the Universe
by Steven Strogatz

this was recommended by 3blue1brown , if you want to see more book
checkout : https://www.3blue1brown.com/blog/book-recommendations

[normal crystal]

The Radium Girls by Kate Moore

[remote sparrow]

Black Against Empire by Joshua Bloom and Waldo E. Martin
The Wretched of the Earth by Frantz Fanon
Black Skin, White Masks by Frantz Fanon
Fanshen: A Documentary of Revolution in a Chinese Village by William Hinton
How Europe Underdeveloped Africa by Walter Rodney
Settlers: The Mythology of the White Proletariat by J. Sakai
The End of Policing by Alex S. Vitale

[naive lava]

14 hours? maybe try penrose's book

[normal crystal]

I see a theme🤔

[naive lava]

does anyone here own a recently printed(2023 or more recent) AMS textbook? If so, can you please send me a picture of one of the pages? and like, tell me about the paper quality

I bought a textbook that was printed in 2023 and i am suspecting it's counterfeit

[remote sparrow]

name of the book?

[naive lava]

quantum fields and strings: a course for mathematicians

I know you're a semi-expert on these things, if you want, I can provide some picture for you to take a look

[remote sparrow]

ok

[remote sparrow]

how do you know it was printed in 2023?

[naive lava]

it says in the first page

[remote sparrow]

ic

hardcover or paperback

[naive lava]

paperback, they don't sell this in hardcover anymore

[remote sparrow]

yeh that checks out with the amazon page

[naive lava]

I bought it from amazon

and the seller is Amazon US

[remote sparrow]

is there a reason why you think your copies are counterfeits?

[naive lava]

mainly the paper/print quality

one of my profs has an earlier print of this book

And that one has a smooth, semi-shiny paper with better print quality

So I'm suspecting counterfeit or the AMS print quality reduced significantly since than

[remote sparrow]

can you look at the last page of the book? i mean the page literally right before the back cover

[naive lava]

of course

what am i looking for

[remote sparrow]

do you see anything like this

[naive lava]

no

but the old print also doesn't seem to have one

[remote sparrow]

ok so maybe not outsourced to a pod company

[naive lava]

okay so another inspection

my other textbooks have flypages

this one does not

[heavy egret]

how does D1 compare with the other books for middle school

[errant wigeon]

Has anyone read How to Read and Do proofs...by Daniel Solow. How is it for a beginner? How is it for someone who has some exposure to proof writing, but still can't get the hang of it?

[heavy egret]

how does D1 compare with the other books for middle school

[karmic plover]

Discrete Mathematics and it's applications with combinatorics and graph theory by Kenneth H Rosen

Guys is it ok for an introduction to computer science math?

[brazen pulsar]

Hey, I want to revise my maths from basics but confused for where to start. Can anyone help? I want a book recommendation.

[heavy egret]

what books should i study for high school

[brazen pulsar]

Tqsm.

[heavy egret]

what books should i study for high school

[brazen pulsar]

Is this available in volumes?

Where can i get the pdf of this whole book?

[rich sun]

I hope you realize that this is not a serious recommendation

[brazen pulsar]

🙂

[cunning elk]

at the high school level there are tons of essentially identical online resources

this channel is more focused on topics beyond the most basic ones

[remote vortex]

Principia Mathematica

[tired glen]

Does anyone know which book is useful for preparing for IOQM, RMO, INMO level wise

[heavy egret]

god knows how to deal with kids

[sharp brook]

any recommendations for a functional analysis book? my background is a course in analysis and a course in linalg, following hoffman kunze. i also have a course in algebra, not sure if thats relevant

i dont know any measure theory, but i would be ok with reading a little bit to get the basics (unless it would be a bad idea to do functional w/o measure in detail, then i might just read a whole book focused on measure theory)

[cyan sapphire]

hey does anyone have a good recommendation for a linear algebra book/course that has some applications in it?

[fresh skiff]

FIS

[naive lava]

for what purpose

why are you learning FA

[sharp brook]

im just interested in learning it

im looking for something to learn over the summer now that classes are over

[sharp brook]

i was also planning on bookclubing it with a friend, FA was their suggestion

[naive lava]

well FA is a massive field of math

and different books are written for ppl with different purposes

some pics can be(easiest to hardest) are: kreyszig, lax, brezis, conway, rudin, yoshida

I personally like Lax since it balances applications and theory

which i believe really needed in FA because you have to sit trough pages of proofs(most proof include some not to pretty details and you have to get your hands dirty)

and without any motivation, it can get really boring

[heady ember]

JohnDS pegs Pederson's Analysis Now---a FA book---as his second favorite math book.

[sharp brook]

i see, tyty

ill look into those and see which of them aligns with my goals

not entirely sure what those goals are atm but hopefully itll be clearer after i read the preface of a few of them

[tender river]

they all assume you have taken a prior measure theory course

[sharp brook]

ah

[vital bane]

I think Stein and Shakarchi is a good bet, MT, then FA

[tender river]

kreyszig is a much gentler intro if you dont know measure theory

And i think cocat said a while ago he likes eberhard ziedlers book for that too

[naive lava]

not kreyszig

[sharp brook]

would u recommend i just do measure theory beforehand

[naive lava]

measure theory is actually fun, unlike FA

so maybe it's a better idea

[sharp brook]

hmm ya

i am interested in learning it for sure

im taking analysis 2 next semseter but i was disappointed to learn we arent doing anything besides analysis in Rn

[naive lava]

also a book like folland will give you some FA knowledge too

[sharp brook]

so maybe ill fill those gaps by learning some measure theory on my own

[naive lava]

(and in all honesty, i don't have a single reason to consider l^p spaces, so measure theory books, usually discussing L^p spaces might be a better idea)

[tender river]

barry simons comprehensive course vol 1 is a quirky and unconventional book that does functional analysis while introducing measure theory (using functional analytic techniques; this is not a common way to introduce the subject at all but barry simon is a master. just be warned) you could give it a look, it seems fun

[sharp brook]

ooo

thank u all for the recs, ill take a look at them :)

[tender river]

you can think of this as basically the stephen abbott of measure theory and functional analysis

(if you know abbotts book)

[sharp brook]

ah icic

as in, its a little bit gentle and very motivation focused?

[tender river]

very motivation focused yes

[naive lava]

oh yeah

apart from this

reed and simon is another popular choice

[tender river]

gentle? I mean yes but has some good problems, i did the ones in the first chapter and a few from the topology vhapter and thought his style was amazing

[tender river]

i didnt see kreyszig sorry

[sharp brook]

ty both :) i dont wanna take up any more of your time so ill go check out some of the books u rec'd

[fresh skiff]

What are the prerequisites for Cox book on algorithms and varieties (damn i forgot spelling)

[molten gulch]

I'm reading IVA (well, ryan is) and all we have is a course in linear alg and very cursory ring theory -James

[fresh skiff]

Oh i see, do you know, what was the Ryan's experience?

I know linear algebra (upto ch5 of FIS 4th ed)

[molten gulch]

Formally at uni we've only done one proof based maths class, that being theory of computation (Up to ~Ch4-5 of sipser), we supplemented our computational linear class with FIS, and discrete maths was just boring as all fuck

[molten gulch]

Then you should be fine, you may want to have an abs alg book to glance definitions if the need ever arises

[fresh skiff]

discrete maths was just boring as all fuck
^

[vital bane]

Afzal doing AG?

[fresh skiff]

yay good to know this

[molten gulch]

Afzal is following in our pawsteps

[fresh skiff]

Oh hi Neam, how was the EXAM

[vital bane]

[fresh skiff]

probably the first step towards AG

[vital bane]

Part A, MCQ was alright, Part B, you have to write proofs, I fumbled

it is okay

I will not give up

I will never give up

There was one question based on DG and Lie Groups

[fresh skiff]

Its fine Neam we wish you best of luck

[vital bane]

I did not expect that

that was crazy

[fresh skiff]

FR its unexpected

[vital bane]

Oh wait it's David A. Cox

from the famous Cox–Zucker machine

https://en.wikipedia.org/wiki/Cox–Zucker_machine

[fresh skiff]

Omg he is that guy

[vital bane]

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

Ain't no way

Though perhaps this wasn't deliberate

[fresh skiff]

He is Goated

[median fossil]

Cox's sugar machine?

[vital bane]

I don't get this joke

[ripe pagoda]

its just a translation of zucker from german

[vital bane]

Ohhh

smart

[stable flicker]

Open source book new edition!!!!!!!
https://github.com/jirilebl/ra/releases/tag/v6.2

and yes I will shill open source till I die

[fiery hamlet]

Is there a text like FIS but is less concise and elaborates more with explanations, examples etc

[pseudo lotus]

Multivariable Calculus
Calcul en plusieurs variables

[desert gate]

For reading over the summer, do y'all prefer books that cover more niche topics or those that are closer to what you can/will cover in a class? e.g. Algebraic Combo vs Number Theory

[mossy flume]

I read whatever I'm interested in, as that'll keep me motivated

and I'd recommend the same

so that it's easier to stick to the self study

[north summit]

Is there a modern alternative to billingsley probability. I really like the book, specially the sprinkled number theory sections. The problem is that it's kinda expensive.

[trim kayak]

I took statistics for social sciences in grad school years ago but I want to learn more. Should I review the textbook I have first or move on to something more advanced?

I also want to learn more calculus. I need alot of review with the basics first since I haven't taken too many classes. And its hard.

Should I focus on stats or calc first? Any textbook recommendations for both of these subjects?

[north summit]

Or a dover alternative

[remote sparrow]

durrett, but he expects a lot more from the reader

gut is good too

you can have them printed for cheap with lulu

[remote sparrow]

well there's also international editions of billingsley sold too

[north summit]

Durret is a completely different book

[north summit]

https://www.amazon.com/Probability-measure-probability-mathematical-statistics/dp/0471031739 this one?

[remote sparrow]

https://www.amazon.com/PROBABILITY-MEASURE-WILEY-MATHEMATICAL-STATISTICS/dp/8126517719

https://camelcamelcamel.com/product/8126517719?tp=1y&cpf=amazon-new-used

https://www.bookfinder.com/isbn/0471007102/?st=sr&ac=qr&mode=advanced&author=&title=&isbn=0471007102&lang=en&used=1&no_pod=on&destination=us&currency=USD&binding=*&keywords=&publisher=&min_year=&max_year=&minprice=&maxprice=

well it's a good book and the hardcover is pretty nice, so i'd save your money for a used copy if you really want one

https://camelcamelcamel.com/product/0471007102?cpf=used

#advanced-lounge message

at least as many as was taken in the photos last year

i have a lot more now ofc

yes

[paper bluff]

Hi guys!

So for context, I just graduated from high school (IBDP Math AAHL), which covers about 85-90% of Calculus 1, and 20-40% of Calculus 2, and honestly this was one of the best experiences of my life. Sure, I struggled a lot, and I do feel like i'm not as smart as I thought before I started this, but this experience has made me realize that there are a lot of weaknesses in my mathematical "prowess," and I do want to improve on all of these. I remember that in my earlier years, I used to learn the derivations, and how exactly each mathematical equation came to be and makes sense. However, I stopped doing this in high school due to the increase in syllabus, and, honestly, lack of interest. Now, I want to learn all the derivations of this stuff, and even future concepts I might learn in college (I'm planning to study computer science + mathematics/physics (haven't made up my mind aboutt which one to choose just yet)). Could someone please recommend me some books/websites/other sources in order to do this. Also any tips are more than welcome 🙏.

[remote sparrow]

try reading spivak or abbott

or cummings' real analysis book

[paper bluff]

hi

what is that?

[remote sparrow]

spivak is a book that teaches calculus but with thorough proofs. you'll still get a lot out of it even though you're familiar with the mechanics of calculus

abbott and cummings are real analysis textbooks

spivak could also be considered one as well

[paper bluff]

i found 2 books online

the hitchhikers guide

and "calculus"

which one is it?

[remote sparrow]

you want calculus

[paper bluff]

alr tysm

[remote sparrow]

np

[trim kayak]

I took statistics for social sciences in grad school years ago but I want to learn more. Should I review the textbook I have first or move on to something more advanced?

I also want to learn more calculus. I need alot of review with the basics first since I haven't taken too many classes. And its hard.

Should I focus on stats or calc first? Any textbook recommendations for both of these subjects?

[remote sparrow]

stats will make much more sense with some calculus

[trim kayak]

Didn't seemed like I used much calc in the stats class I took...

[remote sparrow]

a stats for social sciences course usually omits any references to calculus. they might be more focused on interpreting statistics and examining possible biases in experiments than the underlying math

was that the case for you?

[trim kayak]

Ahhh yeah. Dang, you're good!! Should I focus on that 'type' of stats or focus more on stats with calc?

[remote sparrow]

i think learning stats with calc is more beneficial in the long run

[paper bluff]

ok

do you think i can cover spivak and abbot in abt 3 months

if i study ~4 hrs everyday

[paper bluff]

hi sry, 1 last que

dyk how I can learn the proofs for these trig concepts as well? stuff like the compound angle identity isn't too hard but I'm still interested in knowing how all of this came to be.

[remote sparrow]

some of those identities are considered in spivak

with a bit of knowledge about the complex numbers and complex analysis, you have another way to derive trig identities

however, i don't know the purely geometric proofs for those identities, which would probably be more satisfying to go through

[paper bluff]

really?

imma try to do that then

yes

ik the basics atleast

like argand diagram polar moduls form and stuff

not really, is it like the mclaurin series?

[remote sparrow]

maclaurin series are special cases of taylor series

they're just taylor series centered at the origin

[paper bluff]

oh so instead of f(0) its f(k), where k is a variable?

[remote sparrow]

no

[paper bluff]

ok welp

ill learn that first ig

[remote sparrow]

you'd have to justify why taylor series converge and whether it makes sense to perform certain arithmetic operations on taylor series

[paper bluff]

ok got it

tysm

[paper bluff]

ok ty

[gray gazelle]

what ur guys views on

zurich mathematical analysis

[gleaming viper]

Anyone else use the stewart precalc book?

[gray gazelle]

i have used it in past

to learn that material

and i can say that its def all u need to exceed in Calculus

read it like idk more than 5 times atleast

[gleaming viper]

I got an a in calc 1 and I find it annoying as heck

[gray gazelle]

yeah def u can reduce that

with precalc

just have that done and u gucci

[gleaming viper]

I mean I find the stewart book annoying

[stiff crow]

Stewart for calculus is so good

Literally the best book there is

Like there is no way you can be confused with that book

[gleaming viper]

I like Larson

[gray gazelle]

nah all are meh

i went with Thomas Calculus

yeah just looked larson idk i think the treatment is pretty shallow

[gleaming viper]

I'm a pretty shallow guy 😛

[gray gazelle]

[cunning elk]

all the standard precalc and calculus texts are extremely shallow

no surprise there

[soft ivy]

Can Anyone recommende me a book for advance algerba

[dapper root]

Check pinned messages

[cunning elk]

what is advance algerba

[normal crystal]

the algebra that marches ahead of the other algebra units

[heavy egret]

whatare some books for high school

what are some books for high school
like beginner level

[shy bronze]

Well u can go with Mathematical Circles

[heavy egret]

what does book mainly like feture

[heady ember]

Do the chapter on inner products with me

[fresh skiff]

doing inner product spaces? wow

[heavy egret]

hello

[orchid bridge]

I think if you read a book and you enjoyed the treatment, there's nothing wrong with recommending it

[dim pendant]

How many years of high school do you have left?

[heavy egret]

i will join

high school

[viscid sonnet]

is there like a book thst s computer gains sentience and self awareness (dont say AM)

[signal mountain]

AM?

[dim pendant]

oh I see

[fickle lake]

,iamnot studying

[hasty eagle]

Removed the studying! role from you.

[fickle lake]

yeah i did it ez

[delicate crown]

,iamnot studying

[hasty eagle]

Removed the studying! role from you.

[potent bough]

hey yall

im new here and I want some books to prepare for college

any recommendations?

[outer helm]

helloo guys do you have any algebra/analysis problem books (with corrections)?

[gray gazelle]

with solutions?

[outer helm]

yeah

[gray gazelle]

thats pretty dificult to find try to find a solution manual to the book you are following that is easy

[dim pendant]

yeah, pick out some popular analysis books and just search for solution manuals to those books

[dim pendant]

Khan Academy is all you need

specifically, you can brush up on trig, basic algebra, and even calculus if you're ahead of the game

[molten gulch]

<@&268886789983436800> posting pirated resources

[zealous coyote]

Hi, we cannot allow people to post pirated material here I'm afraid. I'm removing this message

Please keep this in mind for the future – pirated content is against discord ToS and could lead to this server being shut down.

[pseudo lotus]

Ok

[pliant wadi]

what are some really hard problem books in higher mathematics

really looking to challenge myself for practice

like, PhD-level Qual exam problem sets

[lusty thistle]

am i allowed to post pdfs here?

[lusty escarp]

There is some Berkeley book which has past qualifier problems.

[remote sparrow]

scroll up

[lusty thistle]

aw man

[pliant wadi]

oh which one?

[lusty thistle]

what are your research interests?

if you like nt id recommend problems in algebraic number theory by jody esminde

[narrow fiber]

there's a compendium of berkeley quals from a few years ago

[lusty thistle]

problems in group theory by dixon is good

[remote sparrow]

title?

[narrow fiber]

i forgot

there's also one called the written qual book for dartmouth which is a lot of fun

[remote sparrow]

https://www.worldscientific.com/worldscibooks/10.1142/7741#t=aboutBook

[remote sparrow]

https://www.amazon.com/Berkeley-Problems-Mathematics-Problem-Books/dp/0387204296

[narrow fiber]

and someone named raymond chu has ucla analysis quals uploaded for several years (someone else has the algebra quals)

yes this one

also https://www.math.harvard.edu/graduate/study-the-qualifying-exam/some-old-qualifying-exams/

[remote sparrow]

i don't think that's from a "few years ago"