book-recommendations

[mortal ore]

I mostly specialize in ancient philosophy since I find virtue ethics realistic and appealing

[wild blaze]

yeah

so if u publish

u have to cite them

to gain traction in ur extended theories

[mortal ore]

Also since platonic idealism is the common belief which mathematicians hold about truth

Though they tend to do so implicitly

[wild blaze]

godel doesnt

philosophy of math still isnt resolved

theres 3 schools rn

[mortal ore]

Sure but not everyone's godel

[wild blaze]

yeah i mean ppl working in foundations

dont really

[mortal ore]

I believe it

[wild blaze]

platonism?

[mortal ore]

No I mean

I believe foundationalists have a much more balanced perspective on the ontology of truth in math

[wild blaze]

whats this absurdism or something

[mortal ore]

Non foundationalists mostly act as idealists because its just the natural way to work with math

They dont actually adopt idealism outright but they behave as such concerning axioms

For example algebraists generally affirm choice because its just convenient

[wild blaze]

i think you mean formalists right

yeah most mathematicians are formalists

at least in the pure sector

it makes the most sense rn

[mortal ore]

Yeah but they are the same

Since platonic forms and platonic ideals are synonymous

[wild blaze]

formalists as in theyre just all symbols right

hilbert claims its just like a game

[light hawk]

Yeah there's no inherent meaning to these symbol like describing some objective reality..

[wild blaze]

they dont have to describe something to be objective though

the question is is it true

[mortal ore]

Its probably best to think of it like this

Since people find purpose in actualizing ability for obvious reasons

[wild blaze]

i mean this is the epistemic problem right

that would mean we would never have certainty of knowledge

so knowledge is only defined as what is rational to believe in

which lowers the scope of what knowledge is

our account of knowledge

what constitutes as knowledge

can we know anything

if theres never certainty, and we think of knowing something as certainty, we never know anything

if deduction is not certainty, we live in a world where nothing is knowable, only believable

to cover for that we lower the bounds of knowledge, and then its what should we make it?

[gray gazelle]

sorry to interrupt (could maybe continue in a thread or another channel?)
Does anyone know any books similar to Spivak's hitchhiker's guide to calculus?
realizing that I really like these more narrative-style math books for some casual reading in between actual textbook work

[blazing holly]

What are some go-to textbooks for probability & stats?

[normal crystal]

https://stat110.hsites.harvard.edu

[fair fiber]

no

youre wrong

if he is s philosopher where is his postdoc in philosophy

[gray gazelle]

you’re not helping

[fair fiber]

Howd he fall for the most obvious ragebait when you literally said it was ragebait the msg after

[gray gazelle]

someone literally fell for your sacrasm

😭😭😭😭

[gray gazelle]

i was referring to the other guy

[fair fiber]

Then why you respond to my msg

[magic monolith]

it's a joke btw haha

[gray gazelle]

i meant you’re not helping him

i figured he was trying to know whether nietzsche was a philosopher or not

[gray gazelle]

not all people know nietzsche’s book so they might take you seriously 😂

[magic monolith]

ah okay surely

[normal crystal]

🙄

[magic monolith]

His 'fans' idolize him while Who doesn't really understand his works or his quotes call him a nihilist

funny

[gray gazelle]

I don’t know

I’m not a philosophy major but i did a minor in it

I focused on Historical Philosophy (at epistemology) . We read the works involving but not limited to: rationalism (descartes, leibniz, spinoza) and empiricism (locke, hume,..) We did discussions in class where everyone is ought to participate. I remember when the professor was getting stressed reading hume. We wrote 10 pages of paper consisting one topic given to us at the end of the semester. Exams are also formatted on short essays.

It’s mostly reading, writing, and discussions. I think discussion and feedback are what makes an undergraduate philosophy different from when you are self studying.

[magic monolith]

that's great

Ah okay

i think

[gray gazelle]

yeah and didn’t nietzsche provided an argument/solution to nilhism?

it’s wild that these edgy people made their way from comics to philosophical works

[magic monolith]

yes, they just don't understand

[magic monolith]

ah, Empricism and Rationalism, i've heard about them before but i haven't learned or researched about it

[gray gazelle]

They’re quite fun

You could start with either, but I started with Rationalism cuz of the joke going around my institution before (i think therefore i am; the pig thinks therefore he exists)

Descartes’ Discourse on Methods is a great book to start with rationalism and then his Meditations

I prefer Cottingham’s translations

I’d suggest searching his biography first before reading so you could follow what event he was going through and understand his thought process

[magic monolith]

i focus on Moral Philosophy and Marxism-Leninism

nope, Philosophy is just some kind of my hobby

I'm a Teenager but i think i'll be an engineering major within the next two years

xd

[gray gazelle]

The first book (Discourse on Methods) was kind of his biography and the mild introduction of his ideas (Dualism)

Basically, the Discourse was originally in French and meant to be read by interested knowledgeable people (scholars, priests, queen, interested laymans)

The Meditations was originally in Latin and meant to be read by scholars/his fellows

Not alot of ppl know Latin in their time

it was mostly scholars

the academic works in their time were mostly in latin

[fair fiber]

skill issue

[gray gazelle]

Latin is literally dying rn 😂

[deep thicket]

animal farm

or 1984

george orwell peak fiction

[paper raft]

hi guys is there any resource recommened for learning probability and statistics (for grad school entrance exam)?

[paper raft]

thx! but i think this book is a little bit overkill since it's a exam for computer science. they test something on statistical Inference, calculus-based probability, multivariate statistics etc,

[paper raft]

thank you so much!

[molten gulch]

billingsley for probability, wackerly for math stats?

[paper raft]

thanks! im think about Probability and Statistics for Engineering and the Sciences-jay devore this one might be better for a cs exam?

[remote sparrow]

wackerly works for most of that, not sure about multivariate

could be in wasserman

[keen quarry]

Peter smith

Who is an actual philosopher

There are papers being published everyday, you can read them

Obviously, unless you're alr at that level, you prob won't understand the papers or even recognize the symbols they're using

[mortal ore]

how it nietzsche not a philosopher

[sly estuary]

well... you could say he's not anymore. He retired

[blazing fiber]

Grimmett and stirzaker?

[coral pulsar]

could anyone please direct me to courses that use pugh's analysis book? i am looking for a selected list of problems to solve from the exercises since I'm self studying. oh and if you do have alternative book suggestions, please shoot :)

i have some amount of background with calculus but i do not really want a calc + analysis book, i think I can backtrack and learn the calc part ad hoc. im quite good at proofs so an introductory book is not required. i tried Tao and felt it was a lil boring, did 6 chapters. Pugh seems interesting

[mortal iris]

Just random sample problems and do them?

[coral pulsar]

okayee

[mighty lava]

Is linear algebra by gilbert strang good?

[mortal iris]

If you've never seen vectors or matrices before then very much so.

[mighty lava]

I have but not at advanced level

[mortal iris]

Wdym by advanced level

[mighty lava]

I mean very introductory level matrices and vectors

Is what uve done

[mortal iris]

Have you solved systems of linear equations using matrices and know things like eigenvalues and eigenvectors?

[mighty lava]

Ive

Up to 3

[mortal iris]

That doesn't help

[mighty lava]

Using the sarrus method to find the determinant of a 3x3 matrix

[mighty lava]

Oh well idk how to explain it more easily weve only done like very little linear algebra at school and thats all i know

😭

[mortal iris]

Okay. Then Gilbert Strang is a good introduction. An alternative would be Johnston's Intro to Linear and Matrix Algebra. Imo this one is better.

[mighty lava]

Ill chexk reviews of both thank u

[slow drift]

Are you into ML ? @mighty lava

[mighty lava]

Whats that

[blazing holly]

Machine learning

[mighty lava]

Nope

[lean badge]

i am

[violet wasp]

e

[steady widget]

Do you have any recommandation for infinite galois theory ?

[odd cargo]

coxeter's intro to geometry book is lowkey bangers

very enjoyable read

[dapper root]

https://www.jmilne.org/math/CourseNotes/

Fields and Galois Theory

Beyond that my impression (as a non-number theorists) is that most people get good at Galois theory by learning number theory

[vital bane]

Sarrus sounds funny

[mighty lava]

Thats his name😭

[flint fog]

Has anyone read "A thousand splendid suns"?

[violet hearth]

Hello, do u guys have recom for set theory,at least mentionning topology of ordinals ? i dont see a channel for it btw, is it contained in category theory ?

[molten gulch]

#point-set-topology #foundations

[heavy idol]

does anyone know the title of that book that's group theory through visualization

i think i saw it on mathoverflow but i forgot what it was

[midnight gulch]

visual group theory?

by carter

[heavy idol]

that would be it, thank you

[mortal iris]

I think I'd die before I get anywhere rear them.

[slow roost]

why?

[keen quarry]

If you wanna actually learn philosophy, read Peter smith

Or any textbook for that matter

[lean badge]

i want to learn about foucault's influences on literary theory; are there any books i should look at? for context i recently read Discipline and Punish and im reading The History of Sexuality

[weary remnant]

@mortal iris I decided with precalculus by larson? Is dat a good book and also umm I don’t have any instructor solutions manual, will the odd numbered exercises be enough? Will I not lose any good problem solving techniques or smth?

[flint fog]

Uh huh 😭

[junior palm]

im not that educated in precalc textbooks but i think any source is fine as long as you stick to them and do all the problems (most people dont do this). i think the most important differences is if they have the solutions (assuming you have self control to know when and when not to check the solution) so i suggest finding another source.

[weary remnant]

I only check the solution to check and validate my answers nothing more.. I mostly use the examples to cheat and peek 😭

Also I am kinda lazy flipping and scrolling through the textbook I would rather not see it

[molten gulch]

any precalc book is good, it literally doesn't matter

axler, larson, stewart, stitz and zeager, lang, it literally does not matter

[tender cobalt]

odd numbered exercises will be more than enough

and no you will not lose any "problem solving" technique

in this stage it doesnt matter

[junior palm]

just tell him to do all to cure his neediness for the "optimal book"

[tender cobalt]

if u get confused in a question you can search for the solution

[tender cobalt]

yea just use examples

[grand heron]

Hello. Can you reccomend me Homological Algebra books from different levels of difficulty

[molten gulch]

the 2 standard recs are rotman and weibel, weibel is harder and rotman is more leisurely

[grand heron]

What topics do they cover?

[molten gulch]

check their tables of contents

here's rotman

[grand heron]

Ok. Thanks

[molten gulch]

There's also the book by Cartan and Eilenburg but I've not even flipped its contents so I don't know what's in it

[molten gulch]

Also please note that this book has a very very large errata sheet https://www.math.umd.edu/~jmr/602/bookerrors.pdf, you will need to keep it as reference while you read

[upper rapids]

Can anyone Tell me about SL Loney Plane trigonometry and Coordinate geometry?

[mortal iris]

Atp I refuse to respond concretely. I've said what needs to be said and multiple other ppl multiple times.

[junior palm]

ive read it all

[mortal ore]

Why do you just consistently not answer my question

For context, im not a fan of nietzsche's ideology as I align with virtue ethics

But that doesn't mean he's not a philosopher

[vast star]

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/DELIGNE/1968-1971/M_68_28/M_68_28.pdf

Is there a translated version of ts

[mortal iris]

This is #book-recommendations and you should ask this in #groups-rings-fields

[trail void]

use axler for algebra and trig

i think his writing style is more enjoyable

just make sure u get to calc asap

[fair fiber]

yo
i'm struggling a lot with measure theory
i'm using cohn
what do you guys recommend as like a secondary reference ?

[fair fiber]

how is he a philosopher if he never did a traditional dissertation

[mortal ore]

Is this the requirement to be a philosopher

Seems arbitrary to me

[livid blade]

Where are you stuck? (what I mean is, are you looking for alternatives for "first course in integration", or something in more depth, as Cohn is?)

[molten gulch]

Folland, royden, rudin, etc...just open a book and look at it

[fair fiber]

yea you are banished from the group of philosophers if you didn't do it academically

[fair fiber]

i find questions very difficult

but yea first course

[mortal ore]

Rip socrates

[fair fiber]

ye i mean he is dead so i hope he rip as well

[north tusk]

Does anyone have any books to get me started on mathematical reasoning

I'm at igcse level so nothing too complicated

[fair fiber]

Just finish igcse maths and add maths id say

If you want to do more math, just study them and take the exam early

[north tusk]

I did learn some calculus

Calculus made easy, but didn't read anything else

[fair fiber]

To get started on real math you have to study quite a bit

[north tusk]

Yeah, i don't know where to start

[fair fiber]

R u doing igcse add maths ?

[north tusk]

I'm simultaneously trying to overview the alevel curriculum

[north tusk]

I cant where im from

[fair fiber]

Ok then when ur done with igcse

Start a level maths

Just use khan academy

On same topocs

[north tusk]

Yeah well I'm done with the curriculum and exams are in a few months so

[fair fiber]

Ok just do a levels

You can use khan academy or just get an a level book

[north tusk]

I'm using the alevel text book as a reference on what to learn but sometimes I get lost

So I've decided to focus on deriving equations in my curriculum

But sometimes its beyond my current ability

So i was wondering what was next to do

[fair fiber]

Use khan academy

[sudden kindle]

@willow pecan any book recommendations on numerical linear algebra for undergrads?

[fair fiber]

Lloyd

[willow pecan]

ummmm is this a topic usually taught to undergrads?

Anyways the standard books for numerical linear algebra are 1. Trefethen and Bau 2. Demmel

[fair fiber]

Who learn nla if not undergrads

Highschoolers ? Ig some people on this server prolly have

[loud cradle]

watkins, "fundamentals of matrix computations" is quite nice and should be accessible to anyone who had a decent LA course

[desert oriole]

grads

idk

a lot of people dont do any numerics during their undergrad

[fair fiber]

how cooked is american math if NLA being taught to undergrads is unusual

[desert oriole]

at least not voluntary

[desert oriole]

nothing to do with the education system

[fair fiber]

over here nla is a third sem course and my uni has one of lightest math educations in europe

[desert oriole]

but why would someone who does algebraic nt take a nla class?

[fair fiber]

why would someone who does algebraic nt that doesn't want to take a nla class ask for book recs on it ?

[desert oriole]

didnt mean this person in particular

[desert oriole]

i hate unis having required courses

[fair fiber]

he is saying unusual in this context in particular that's what i'm referring to by unusual

[fair fiber]

ye it's not required as in it's when you'd typically take it/can take it if you wanted to take it

[desert oriole]

ah yes

[desert oriole]

yeah idk

[fair fiber]

I generally agree freedom is the way to go

[desert oriole]

yes

[fair fiber]

but i think there should be some amount of standardization

[desert oriole]

lin alg and real analysis are justifiable

[fair fiber]

you shouldn't have an undergraduate degree in mathematics without at least some proof based classes

[desert oriole]

there shouldnt even be a non proof based mathematics class

[fair fiber]

none at all ?

[desert oriole]

idk

they shouldnt be mandatory

[fair fiber]

i think you should need to take an analysis class before you can claim to have an undergraduate degree in math but it is subjective

[desert oriole]

analysis is proof based

[fair fiber]

yea

[desert oriole]

yes

[fair fiber]

there should be freedom but also having a degree in undergraduate mathematics should mean something concrete in the content you've seen

[desert oriole]

yeah as in x% of the credit points being from math courses

[fair fiber]

hmm idk

i feel like you need more

[desert oriole]

what do you mean

[fair fiber]

Like Analysis

maybe even algebra and topology

[desert oriole]

i dont know

[fair fiber]

Just 1 introductory course, since in principle i agree freedom should be preceed anything

[desert oriole]

if every course presupposes analysis and linear algebra, then them not being mandatory shouldnt be a problem

[fair fiber]

yea but in technicality in some places you can just take all the introductory courses that don't have pre reqs

[desert oriole]

i dont like required courses either

it is stupid

[fair fiber]

there are unis where you can graduate without seeing proofs because of lack of required courses

that is stupid

[desert oriole]

i meant that every course requiring knowledge of analysis is already enough to ensure that even someone who hasnt taken it (i dont know any uni which allows this) knows it

[desert oriole]

yes

[desert oriole]

do you have an example

how can you do mathematics for 4 years without ever seeing a proof

[fair fiber]

there are many people here who come from unis like that i can't remember who exactly but if you just ask people in advanced lounge you'll find someone

[desert oriole]

oh

hmm

[sudden kindle]

i dont thikn so, but I'm mentoring a directred reading, so it should besomething not typically covered in the undergrad courses

[willow pecan]

Ok yes Demmel or T&B would be appropriate

[somber echo]

Why not?

[livid blade]

I learned integration by switching back and forth between Chapter 11 of baby Rudin, Kolmogorov & Fomin, and big Rudin. Some of my classmates liked Royden but I never did. I agree with James + Pigeon (TCC): best thing you can do is check out several books and browse until you run across a presentation you find congenial.

[somber echo]

Royden is good for me

I started calculus with stewart calc

[livid blade]

One less commonly recommended book that I like a lot is Stromberg, Introduction to classical real analysis. The exercises are very extensive and thorough, and include extended projects with walkthroughs.

The fact that he only does Lebesgue integration makes it hard to recommend for the first course in real analysis, but maybe better rather than worse for your needs.

[willow pecan]

While there's nothing a priori about the content, undergrads usually haven't come across enough motivation for NLA for it to be worthwhile imo

[somber echo]

I see

[livid blade]

I seem to remember that the edition of Royden that was current when I was learning (longer ago than I like to remember) was full of errors, and there were other things about it that just annoyed me. I don't know if it's better now.

[somber echo]

I mean I studied long ago anyways, but big rudin might be a good alt maybe

[midnight gulch]

oh are you the guy who made the the uchicago math bibliography?

[livid blade]

Yes

There's so many things I want to add to it, but on the other hand I no longer believe I have anything intelligent to say that other people haven't said better 🙂

[red eagle]

Hey guys, I wanted to ask, can you recommend a good book to self-study optimization?

[opaque juniper]

I think Numerical Optimization by Jorge Nocedal and Stephen Wright is a good book

[red eagle]

Oh nice , seems more readable than what I was trying to go through. Thank you 👍🏻

[opaque juniper]

No worries. Happy learning!

[south wraith]

same, i actually need to do a refresher, probably on some trig and geometry and then since i only went o calculus 1, i need to self study up, i only self study now, but i want to get up to combinaorial, nonlinear potenial heory of degenerate elliptical equaions and more including foundations, and advanced algebra too

i think i have a few years at least lol

[signal zenith]

4 years without seeing a proof is pretty crazy

[frail fjord]

yall i got a calc book but idk how good it is cause i got it for like less than 10 dollars

book name: Calculus: One and Several Variables, 10th Edition
authors: Salas, Hille, Etgen

i see like no posts or info bout this online so im not sure if its too gud as a textbook compared to others

[cunning elk]

any standard computational calculus text is basically isomorphic lmao

supplement it with online resources as necessary

[short fable]

Just use online resources for calc, it's a very standard curriculum

[velvet flax]

what do i need to know to have a basic overview of foundations

i saw the hott stuff and found it interesting, but i want to be able to actually evaluate it against other foundations

[mighty lava]

Is this a good book?

[somber echo]

A good beginners book for nt yes

I prefer Ireland & Rosen tho

(not beginners nt)

[mighty lava]

Its my moms book she got it when she was studying mathemstics at uni and i was surpsied to find out the price it goes for today

[mighty lava]

Well im pretty much a beginner so i suppose itll help me!!

I should read it before continuing with spivaks calculus bc im having trouble with the exercises in unit 2 😔

[somber echo]

Yes it will

I meant Rosen was a standard graduate book(I used for learning nt)

[mighty lava]

Ohh okay well im not at that level yet😭

Thank you for the recommendation though!!

[somber echo]

Yeah, after burton's book, you can try that maybe

[somber echo]

Why not start with spivak? It's an intro into analysis(almost) and quite famous, since you already did calc 1 once, this fits you

Follow it with baby rudin maybe

[tender cobalt]

what do you guys think about Linus Pauling's General Chemistry

[finite shale]

can anyone recommned books about Algebra(ic geometry)/cateogory theory/number theory?

[somber echo]

Wait this is not chemistry server

[tender cobalt]

Yeah ik but there are people who are into chem

[somber echo]

Hartshorne Algebraic Geometry

Have fun with that

[finite shale]

Already on my shelf 😄

[keen quarry]

He is not a philosopher because he is poop, I'd much rather recommend Peter Smith's textbooks instead if you rly wanna learn philosophy

[daring wolf]

hartshorne ofc

[somber echo]

Use matsumura commutative ring theory for filling in gaps

[tender cobalt]

Basic Number Theory

[daring wolf]

put Peters-Steenbrink mixed Hodge structures on your shelf

[somber echo]

For nt, have you already studied CFT?

Algebraic groups and class fields is a good book

For CFT in ant

[finite shale]

who's the author?

[somber echo]

Jp serre

[severe berry]

In Number Theory, Depends on how much you're already exposed to ?

[somber echo]

The goat who collabed with gothendieck

[somber echo]

If you do it with weils book, you get to understand number field and functional field cases

Not quite sure which book to recommend for category theory

[finite shale]

What do you think of Algebraic Number Theory by Lang?

[somber echo]

It's limited to number fields

[finite shale]

I see

[somber echo]

Whereas weils book treats function fields too

I think that's why basic nt by weil develops the right treatment for l functions

[tender cobalt]

whats the prereq of that

[somber echo]

It's a grad book

You gotta know galois representations and field theory, such as basic knowledge of harmonic analysis on compact abelian groups

[wild blaze]

Should there be a difference in the math textbooks you’re reading for theoretical physics? For example, maybe a differential geometry book thats more applied.

Also, what applied math classes are useful? Ik dynamical systems, ode/pde, vector calc, linear algebra

[coral pulsar]

hi. could you guys please recommend books on complex analysis?

background: about to finish Tao analysis 1 and have no prior experience with complex analysis. not acquainted with linear or abstract algebra. i can handle proofs and a bit of difficulty so hand holding books are not necessary i think.

[signal zenith]

https://www.yahoo.com/news/2012-03-23-cambridge-lecturer-convicted-of-downloading-child-porn.html?guccounter=1

this peter smith?

[keen quarry]

Yes

I think

Wait

Yes

[signal zenith]

https://web.archive.org/web/20120304155253/http://www.tcs.cam.ac.uk/issue/news/cambridge-university-rocked-by-twist-in-sickening-sex-pervert-scandal/

linked source via internet archive

[keen quarry]

No other logician in Cambridge named Peter smith so it is him

Same guy who made logicmatters.net

[signal zenith]

damn i guess bro's philosophy was 14 years too early for the epstein files

[keen quarry]

I haven't read any of his papers, but his philosophy textbooks are nice

Good for beginners but I'd rather just get Graham priest or Patrick Hurley's introduction to logic if you don't wanna support him, they're better too

[signal zenith]

priest has some interesting things

im not into logic at all anymore but a long time ago i read one of his phd students' theses defending trivialism

it was kinda cool

https://rest.mars-prod.its.unimelb.edu.au/server/api/core/bitstreams/3e74aad4-3f61-5a49-b4e3-b20593c93983/content

obviously going that far is extreme but Priest's paraconsistency is quite cool

[vast star]

Deligne's "Courbes elliptiques: formulaire"
Does anyone have a English translated version

I don't want to learn French 🥹

[vast star]

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/DELIGNE/1968-1971/M_68_28/M_68_28.pdf

[mortal ore]

Having a bad philosophy doesn't make u a non philosopher

[flint fog]

It just makes u a bad one

[coral pulsar]

anyone please?

[twin parrot]

You can try Gamelin

[coral pulsar]

oh, could you please explain why, for the recommendation?

[twin parrot]

Its pretty good for a first exposure, comprehensive and self contained. Although assumes some familiar with vector calculus at some chapters

The author states at the preface that the complex field provides a good training ground for vector calculus

[coral pulsar]

Thank you! I'll try it out :)

[remote sparrow]

#book-recommendations message

also check out diligentclerk's logic reading list in pins and peter smith's logic study guide

[twin parrot]

You can also try Alfohrs, I haven't personally read it but have seen many people recommend this

[coral pulsar]

oh okay

[mortal ore]

Sure but still a philosopher

[flint fog]

yea

[sacred thicket]

#book-recommendations message

[junior palm]

dawg 😭

[trail void]

did anyone actually read tao for analysis?

[coral pulsar]

i did?

[coral pulsar]

oh nice! there are more pins like this yayy

[junior palm]

i remember reading tao until the chapter after whatever we were doing with ++ and i got irritated with how imprecise and slow he was sometimes and i dropped it

[coral pulsar]

okay you are me

[junior palm]

bro the ++ chapter genuinely pissed me off so much

[coral pulsar]

i did the same a couple of months ago

are you studying on your own?

[junior palm]

yeah self study

[coral pulsar]

then i think tao is so freaking good if you just leave the buildup of numbers except for reals

i skimmed the entirety of ch 1 to 4 after i got frustrated with all the details and stuff. from ch 5, it's so good for self studying. it made me think of everything myself

lemme know if you want to know more about the book

[junior palm]

hm i see

[coral pulsar]

oh and should we talk about this here or DM? im not sure about the server's rules

[junior palm]

ill probably give it a go in a bit

nah its fine unless its personal

rn i am reading some appendixes for rotman modern abstract algebra

his appendix is good so im looking forward to it to the rest of his book

[coral pulsar]

i strongly suggest reading Tao. i tried reading abbott but I left it for some reason. Pugh was interesting but hard and assumes you know stuff. Tao though was very nice. he lets you think about each of the lemmas and proposition and helps you prove it yourself( it's quite easy actually). the exercises are not actually 'problems' but part of learning the core material itself

[junior palm]

i lwk heard better things from abbott and pugh 😭 ill take your word for it tho cuz we had the same experience with the number system or whatever chapters

[coral pulsar]

and it's quick too, i completed ch5,6,7,8 and a bit of 9 and 11 in 3 days

[junior palm]

what??

did you have the whole day or something

or just a genius

[coral pulsar]

i spent around 7 hrs a day

[junior palm]

oh wow this is insane work ethic oh my days

[coral pulsar]

i couldn't put the book down once i started

[junior palm]

dude that is actually so insane

[coral pulsar]

nah I'm lazy but the book(analysis to be precise) kept me going

[junior palm]

i read the book a long time ago so i might need to reread the build up, but i think i have a good foundation on set theory and stuff, should i skip the buildup and go to analysis? what do you think

[coral pulsar]

the exposition in pugh was really good. like there was no drawing out things or being very concise. it felt intersting like a novel.

[coral pulsar]

do you know basic stuff about rationals? then i suggest skipping. because you are self studying, key factor is to keep yourself interested. start with ch 5

[junior palm]

no idea i just know that its dense, meaning there always exist a smaller/bigger number

[coral pulsar]

yeah that's pretty much enough. just skim ch 4 in 10 mins then go to 5th

read 5th knowing that it's a bit of a pain in the ass( but not like the ++thing). still there are a lot of new things in that chapter

[junior palm]

alright thanks for the suggestion

++ thing was like two chapters and i genuinely fell asleep reading all that shit

[coral pulsar]

same iirc 😂

i loved dedekinds construction from pugh

[junior palm]

thtas the thing gotta do with rationals right

[coral pulsar]

it felt magical, he just finished the entire construction

[coral pulsar]

yes you consider each reals as the holes in rationals

you can try reading that from pugh. 6 or 7 pages iirc

are you currently reading anything else?

[junior palm]

im reading an abstract algebra book

i am almost done with its appendixes

[coral pulsar]

oh me too

[coral pulsar]

ohh I see, which book

[junior palm]

rotman modern algebra

the version with two volumes

[coral pulsar]

ohh i've heard of the name

is this your first time reading abstract algebra?

[junior palm]

yepp

[coral pulsar]

same here

im reading aluffi

[junior palm]

what book you reading

alr, have you gotten to the actualc ontent yet?

[coral pulsar]

yes, finished ch 1

im using his undergrad book in conjunction, currently reading 5th chapter in that

[junior palm]

so ur main book is his grad one and the secondary book is his undergrad oen?

[coral pulsar]

i love that undergrad book, similiar to tao how he relegates thinking to exercises and gives solutions for them too?

[coral pulsar]

that was my first idea but now it's reversed

[junior palm]

im just straight up reading rotmans graduate one

😭

[coral pulsar]

cause chapter 0 seemed quite abstract. notes from the underground was gentle

[coral pulsar]

damn

[junior palm]

but he still biulds everything from scratch, just at a faster pace

i can keep up

[coral pulsar]

why are you reading?

for fun?

[junior palm]

yeah i wanna be math major

still in hs

[coral pulsar]

lol exactly same situation

[junior palm]

im 11th or whatever its caleld junior

[coral pulsar]

then why don't you do yourself a favour and read something gentle? i thought i could read grad books directly but having an intermediate step is actually nice

[coral pulsar]

im in 12th? are you from the Indian subcontinent by any chance?

[junior palm]

i like when the mateiral is presented to me and i just spend a lot of time alone just looking at it

😭

[junior palm]

South east asia

[coral pulsar]

😂 i like that too

[coral pulsar]

oh okay

[junior palm]

rotman, atelast his set theory and liner algebra appendix got exactly that style

[coral pulsar]

ohhh i see

do you know linear algebra?

[junior palm]

i am almost done with his set theory appendix i did try to read a couple pages of his linear algebra chapter

[coral pulsar]

oh

[junior palm]

i am still a little stuck on the equivalence class and parittion theorem

[coral pulsar]

i can help if you want

[junior palm]

it says something like the set of all equivalence class forms a parititon

and whatever converse

[coral pulsar]

yes, that's a nice thing

let me send you an explanation?

[junior palm]

yeah sure i like to get a new explanation from someone else

[coral pulsar]

should we jump to help server or something?

[junior palm]

wait i dont wanna bother anyone in this server we can go dms

i meant dm

mb

[coral pulsar]

okay

[golden sinew]

hey do you guys have pdfs or suggestions for stuff for financial mathematics? stuff with sdes, markov chains, and anything interesting like that would be great!

[undone anvil]

hey i wanna learn diferential equations

any book advice

[molten gulch]

boyce diprima is fine, arnol'd is a bit more rigorous

[signal zenith]

ODE or PDE?

Evans is the bible for a reason

For ODE I read a book by Qingkai Kong that I liked

[undone anvil]

thank you guys

ODE

[signal zenith]

"A Short Course in Ordinary Differential Equations" Qingkai Kong

[molten gulch]

<@&268886789983436800> requesting pirated resources

[shadow blaze]

Read it in spanish

[umbral field]

@floral siren we can't allow requests for pirated textbooks here because of discord tos

[normal crystal]

https://tenor.com/view/a-la-biblioteca-kelsey-pokoly-jp-mercer-craig-williams-craig-of-the-creek-gif-16691107

[floral siren]

Oh okay, sorry I didn't know

[floral siren]

I speak spanish lol it's just my professor uses the english version plus I practice my reading, but it's okay

[normal crystal]

idk why you need to tell me but sure

[trail hemlock]

be nice unc

[gray gazelle]

hey just fyi idk why or if it's just for me but for some reason Discord is telling me it thinks you're likely a spammer and by default hiding your message

[remote sparrow]

says the same for me too

[molten gulch]

are we still marked as a spammer now

tldr we were trying to recover from Eris nuking our friends list and well..I sent a stupid amount of friend reqs at once

@remote sparrow @gray gazelle @green aurora

[cerulean thicket]

Hello bookworms

[tender cobalt]

For me

[shut oxide]

Could Somebody recommend me an German mathmatics book

[umbral field]

it doesn't show up on mobile

[mortal iris]

Amann and Escher's Analysis.

[mighty lava]

Is spivaks calculus really what i should be reading to gain the necessary mathematical background to start studying physics more seriously? It feels more like a real analysis book than a standard calculus one 😔

[narrow girder]

if your goal is computational calculus, Thomas serves you plenty well

or Stewart if you roll that way

[mortal iris]

For physics, you're better off going through Zorich's Mathematical Analysis instead of Spivak. The rigor is necessary in some interesting cases and Zorich does a lot of problems of standard Calculus based physics to motivate it. It's often about putting the physical intuition to more precise terms in order to avoid mistakes due to naive approximations and what not.

[mint bone]

for computational calculus, youtube videos are infinitely better than any book.

[marble swallow]

I want to start logics from the basics , like zero order logic and then first order .
From where can I learn it ?
Video lectures are preferred

[hasty stratus]

any books for analytical geometry?

[mortal iris]

Pogorelov

[obsidian laurel]

any linear algebra introduction books?

[junior palm]

book of proof richard hammock, it covers zero order logic and first order logic and proofs, however the its main main focus is definitely proofs but i can assure you there is no gaps in his logic chapters.

[wet sentinel]

try FIS if you want, also check this list which provides many recommendations #book-recommendations message

[obsidian laurel]

well that book talk about
Vector Spaces
Linear Applications
Matrices?
that's what i want to learn for now

[rich sun]

sounds french

[prisma reef]

Any model theory introduction book? What are the prerequisite for doing model theory?

[junior palm]

first order logic and set theory

[molten gulch]

AAAAAAAAAAAAA we appealed and now we wait

[obsidian laurel]

how did you know

[rich sun]

you used a word that french people would use

[obsidian laurel]

well im not french but our program is French yes

@rich sun please stop do that i hate it

[remote sparrow]

lots of introductory surveys of mathematical logic do a bit of model theory

[prisma reef]

Mine did not

[hasty stratus]

should i read it in the order thats given?

[remote sparrow]

what was the book

[prisma reef]

i dont quite remember, but it was more topology oriented book, set theory was heavily meant for use in topology and not that much emphasis was put on logic separately from topology

regardless i'm not interested in that curriculum

i'm interested in self study for model theory

thomas jech book looks interesting , but i don't know how much exposure to model theory it assumes

[remote sparrow]

https://www.amazon.com/Foundations-Mathematics-Studies-Logic-Mathematical/dp/1904987141

https://www.amazon.com/Invitation-Model-Theory-Jonathan-Kirby/dp/1107163889

[ancient minnow]

Can you recommend any problem books that include answers/solutions?

For school level

[mighty lava]

Do u have any specific ones to recommend?!

[arctic wedge]

can anyone recommend a budget friendly book on algebra 2? im just starting out, mainly looking for factorisation, polynomials, quadratics, linear equations (with 2-3 variables)

[remote sparrow]

a used copy of an older edition of any algebra book is likely to fit the bill of being "budget-friendly"

[arctic wedge]

last time i bought a used textbook it was filled with hair and dandruff and random sketches

[remote sparrow]

just bad luck

i've bought a lot of used books and i haven't had an experience like yours

[arctic wedge]

hm

ok

ill try then

thanks

[remote sparrow]

personally writing in books doesn't bother me

although i don't write in books myself

@green aurora i saw a sale on cambridge university press

[molten gulch]

F

[stuck zephyr]

why are you a likely spammer?

[molten gulch]

I dun fucked up

[stuck zephyr]

damn that sucks

[ashen flax]

knowing discord theyll probably be annoying about it

a while ago there was a discord bug where joining a server once would count as joining it 20 or so times iirc

my friend got caught up in it and got flagged

and discord refused to remove it

lol

[molten gulch]

yeeeeeep

[mint bone]

BlackPenRedPen and Flammable Math

[blazing holly]

Could I get any additional recommendations for numerical linear algebra?

So far I’ve got the one by Allaire, lecture notes by Treister, and matrix computations by Watkins

Primarily i’m looking for stuff on iterative methods

[remote sparrow]

@willow pecan

[willow pecan]

Depends on what sort of iterative methods you want

The standard books for the area are 1. trefethen and bau 2. demmel

But this is also an area of active research so at some point you do need to start reading papers

[blazing holly]

As in the spectral methods book?

Bau doesn’t ring a bell though, do they co-author w/ trefethen?

[willow pecan]

Yes

Trefethen and Bau is one book

https://epubs.siam.org/doi/10.1137/1.9781611977165

[blazing holly]

Ohhh
I’ve never seen this book

I know trefethen through spectral methods in matlab

[hybrid sigil]

That’s from Peter Smith’s Logic study guide

[trail cairn]

Ngl this has to be everyones childhood book

[wanton pollen]

how did you find the lowest res image possible

[normal crystal]

he's a wimpy kid not a graphic designer

[cunning elk]

why are they completely out of order 😭

[cedar musk]

Suggest any free time reading maths book to know more knowledge in dept of mathematics

[vital chasm]

How to prove it by Velleman

[mortal iris]

Gorodentsev's Algebra.

[vital bane]

Yooo Oggy! Based cartoon!

I used to watch that all the time as a kid

[mortal iris]

https://tenor.com/view/spongebob-spongebob-meme-roach-funny-eating-gif-2009899501002276227

[vital bane]

spongebob

[remote sparrow]

https://tenor.com/view/james-doakes-james-doakes-doakes-meme-doakes-suspicious-gif-7434634924845802139

[molten gulch]

<@&268886789983436800>

spamming this in various channels

[woven flame]

@native valve ask here and see if anyone will recommend

[pastel gale]

guya has anyone read Britney Spears' The Woman In Me?

[cerulean thicket]

@trail cairn @cedar musk
Welcome to Mathcord, new nerds. Enjoy your stay!

[nova canopy]

OMG MY CHILDHOODDDD

[nova canopy]

Oggy is my childhood

[rich sun]

Gregs Tagebuch

[steel hornet]

Amulet better

Percy Jackson solos

wimpy kid is like top 20

[gentle plinth]

It wasn't for me 😭😭

Is my childhood ruined

😭

[gentle plinth]

SAMEE

And then teen titans go!

Then shinchan nvm WHOLE CN

[somber echo]

Idk if it's more knowledge or not but How to Prove it is amazing and I started reading this book for fun when I was kid and really developed my proof writing

[native valve]

Hello

[green vault]

what level of math do you need for How to Prove it ?

[native valve]

I am new to axiomatic and proof based thinking

I know how to write math proofs but I still have to adapt to this axiomatic way of thinking

I want to now learn calculus proofs

I was thinking of either Apostol Vol 1 or Spivak’s calculus

I tried apostol vol 1 yesterday and got stuck on the “real number axioms” exercises

Any suggestions on what to do next?

[tender cobalt]

Try the spivak chapter 1 chapter 2 exercises

[worldly pendant]

i think you can ask someone in #proofs-and-logic

[slate shell]

I am 16, can i solve I.E. IRODOV for physics??

[trail void]

11th-12th grade

[worldly pendant]

Tho, seeing the table of contents myself, it doesnt seem to require any knowledge at all. But I do think having a foundation on 1st order logic would help a lot

[vital bane]

"Killuminati is typing..."

[mortal iris]

Try this game. Once you get a proof right, type it out or write using pen and paper. Rinse, repeat. You'll not only learn about proofs in analysis but also learn how to use proof assistants which are absolutely brilliant and eventually gonna become commonplace in math research.

[mortal iris]

Huh

[vital bane]

Oh I thought you were gonna say something about that

[mortal iris]

Age is just a number lol

[vital bane]

Not about the age

[mortal iris]

What does being 16 have anything to do with what you can and cannot do?

[vital bane]

underage physicsing is illegal

you must be at least 16

[mortal iris]

https://tenor.com/view/epstein-jeffrey-epstein-j-jeffrey-sigma-gif-405083941180536765

[normal crystal]

Killuminati, now you have to tutor JEE for the month as punishment for posting that

[slate shell]

lmao... what did just u guys said

[grim ore]

thank you so much for linking this website! I had been wanting to learn lean for a bit now

[mortal iris]

Huh?

[remote sparrow]

google natural number game lean

[mortal iris]

Same site BTW. This is just a different game on the same server.

[mortal iris]

Here's a nice set of working notes for some relevant theory in case you're interested.

[grim ore]

yooooo

[hybrid cedar]

Anyone have any practice things or could make some for me based on this stuff?

[odd cargo]

stitz and zaegar has a lot of pre-calc problems, its free and on the internet.

[fluid lance]

agreed

[minor geode]

hi guys, im trying to make my sister learn pre algebra and i want to find an updated book for her so she can skip accelerated math 1 and 2 and go directly to algebra 1 at grade 6. Does anyone have a textbook or any open source free textbooks that could help me with teaching her?

[timber mesa]

idk about pre-algebra specifically but since you mention open source, I've had good experiences with LibreTexts books sometimes https://math.libretexts.org/Bookshelves

though I've used them mostly to get exercises or insights on undergraduate math e.g. linear algebra, statistics

[minor geode]

i see

thanks for the recommendation

[timber mesa]

no prob

[stuck perch]

guys i am gonna start college and i need a good prob book, which one do you recomend?

[stuck zephyr]

probability?

[half void]

Bourbaki, éléments de mathématiques

[half void]

Blitzstein and hwang

[stuck perch]

yes

[normal crystal]

Openstax has a prealgebra book
Professor Leonard on youtube has a prealgebra playlist
or khan academy

[cerulean thicket]

Hello book nerds

[clever remnant]

I'm sure this has been asked a lot, but any recommendations for an "advanced" calculus book? I have studied the "basics" of calc all the way up to partial derivatives, but my current book for differential geometry refers to an "advanced calc" book by "Buck". I'm considering getting it just to use as a reference as I continue to work on differential geometry, but I figured I would ask here if there are any other better recommendations.

Tbf, I don't really know what "advanced calculus" even means in this context. I assume it gets into real analysis? Which I have never done before

[molten gulch]

<@&268886789983436800> requesting pirated resources

[real marsh]

pls don't request copies of paid books on here

server get deleted if it happens which is sad

[remote sparrow]

my impression is that in the mid to late 20th century, advanced calc referred to books that taught multivariable calculus rigorously, usually after a calculus course that wasn't necessarily fully rigorous, but probably at a higher level than current books

i think unis started favoring a more rudin-inspired curriculum after PMA was published

[clever remnant]

PMA?

[remote sparrow]

Principles of Mathematical Analysis

[cunning elk]

baby rudin

currently suffering through it myself for analysis

[midnight gulch]

functions of several real variables by moskowitz & paliogiannis, folland's advanced calculus, etc.

yeah "advanced calculus" is basically slightly more rigorous multivariable calculus. it shouldn't be strictly neccessarily for a differential geometry course though it could be useful for certain parts

[tender cobalt]

bro is here ALLL DAY monitoring who is "requesting pirated resource"

😭

Youshould become a mod atp

[clever remnant]

Good to know thanks! I found a copy of Advanced Calc by Buck online for fairly cheap. Figured its not too bad to have in case I need it, but yea so far it seems I won't need to rely on it too much

[mortal ore]

@cerulean mural what math have u done so far

[gray sable]

What does a math book actually tell you

[weary remnant]

Knowledge

Experience

Idk

[mortal ore]

definitions theorems and results

what you gain from it is mathematical maturity and knowledge about a field which experts consider important to know

[lost arch]

what do you think about Singh's "Introduction to Topology"? are there any better on the subject?

[junior palm]

i have no comments but most people recommend munkres topology and since its popular i would suggest using it too because many people have read and understood the book (know the books weakness, gaps, perspective, etc) making help easier to find

[near plinth]

Guys suggest me any book to relearn maths . I'm a student of intermediate but I am very bad in maths

Should I go for "basic math by serge lang"

[narrow girder]

I don't particularly recommend Lang for any reason to newcomers of math

OpenStax's Prealgebra book might be better as a springboard

[green vault]

I (also bad at maths) tried it and it was tough, I still want to go back to it sometime

[near plinth]

What's your recommendation??

[mortal iris]

Math

[green vault]

personally I started university and I'm taking precalc to build up my foundation while also doing mathacademy on the side.
Khanacademy and openstax books are free though so thats a good place to start I think

[gray sable]

What abt it tho 🙄

[mortal iris]

Depends on the book.

[remote sparrow]

it has an instructor's solutions manual

[lost arch]

it does

[formal raven]

How is this book? I have used linear algebra done right but not this plus I got this new for free

[molten gulch]

It's good

[lost arch]

shilov is kinda old isnt he

though its linear algebra so i guess by the time he wrote the book we already had the same key results that are included in todays books

[molten gulch]

Yes

The results of elementary linear algebra (as taught in school) have not changed in the last several decades

[lost arch]

fun fact: in the original russian book its called "конечномерные линейные пространства", which is "finite dimensional linear spaces" so ig you wont encounter any infinite dim space theory there

[formal raven]

Oooo thanks!

[wraith cargo]

I'm following a maths class that covers dual space, multilinear transformations, tensor product, tensors, and tensor fields. I find my professor's self written notes not enlightening. Are there any books that explain this theory very well and concise?

[molten gulch]

<@&268886789983436800> requesting pirated resources

[molten gulch]

Axler's LADR chapter 9 has an intro to tensors, a more thorough treatment can be found in most algebra books such as jacobson, rotman, or lang

[zealous coyote]

Sorry, we don't allow sharing of pirated resources on this server, as it is against discord's ToS.

[slow roost]

Lee's Smooth Manifolds or most diff geo books are good sources for this

[molten gulch]

Also this for a geometric account of tensors ^

[wraith cargo]

Ok will take a look, thanks all!

[viral heath]

i have it, it's cool as a precalc supplement but is quite strange from my perspective
the permutations part is cool and i havent really seen that elsewhere

[pine geyser]

Hi, does anyone have recommendations for an accessible book on dynamical systems? Thank you in advance.

[still notch]

How is Jorge Nocedal going? Im planning to pivot to it once I finsih reading first few chapters of Convex optimization by Boyde and vandenberghe

[mortal iris]

This

[still notch]

Would you say it is a lot more pure theory or does it contain applications of different algorithms as well (maybe some coding as well?) It also seemed like a graduate textbook (not meaning in bad way, just very dense)

[red eagle]

So I am revising some calc 3 rn and had a break so haven't read much of it but, comparing two of them even at first glance I found the numerical optimization book more readable with good explanations

Also it's my first encounter with the subject so I may not be able to provide any further insights about the books...🤷🏻

[heavy idol]

any recommendations for something that treats lie groups and their action

preferably more on the elementary side

[dim widget]

Random question but do the physics and math motivations marry well in this book?

[opaque juniper]

Yes, it is a graduate textbook (I used it during my Master's), so I agree it can be pretty dense but that's one of the reasons I like the book. It's very well written and organized in my opinion. I wouldn't say it's pure theory - it takes on a somewhat algorithm-centric approach. You can treat it as a pure math text, but it is much more rewarding if you have a basic grasp of a language like Python or MATLAB (I think there is some C++ involved too). It also helps if you have a solid foundation in both Linear Algebra and Multivariable Calculus.

[gray gazelle]

https://www.damtp.cam.ac.uk/user/examples/3P2Lb.pdf

[heavy idol]

thenk you

[remote sparrow]

look at brian hall's book

[gray gazelle]

yup

his Lie Groups, Lie Algebras, and Representations

[heavy idol]

thanks ill check it out

[minor geode]

thanks

[opaque juniper]

Milne has a good set of introductory notes: https://www.jmilne.org/math/CourseNotes/ala.html

[heavy idol]

perfect thank you

[pine geyser]

Thank you so much!

[heavy idol]

this seems to assume not too much more than basic group theory

very nice

[opaque juniper]

Yup, Milne's notes are known for being very accessible.

[still notch]

me too yeah thank you fro letting me know

[still notch]

yes it is quite daunting. Even just the first few chapters it seems author assumes reader has already seen these and it reads more like review

[visual delta]

Any book discussing the intersection of classical mechanics and manifolds?

[dim widget]

you probably want to read a bit about symplectic manifolds

[mortal iris]

To some degree. It depends on what you mean by the physics motivation cos at the end of the day it's a bit of analysis, algebra and geometry to study several kinds of systems.

Most of the things dealt with in the book are very physically relevant.

[mortal iris]

Spivak's Mechanics.

[red eagle]

Yea, I think chat g-p-tea would be of great help while self study this

[vital bane]

Spivak's book on classical mechanics

[vital bane]

Damn sniped

[mortal iris]

https://tenor.com/view/the-office-office-dwight-schrute-sniper-gif-25130487

[fallen moss]

Hiii guys! Does anyone have recommendations on resources to learn class field theory?? I'm thinking about Cassels and Fröhlich's book on algebraic number theory, but I'm not sure if its the best "first intro". I'm open to any suggestions!!

Do you think a detour into your suggestion before Cassels book is efficient?? I'd prefer to read a single book if its possible 🥲

Is Zana Tran's videos a playlist on YouTube?? Perhaps the playlist "History of Class Field Theory"?

Oh okayy. That sounds nice!

Yes yes, for sure!! I value it so much

Thank you for the suggestion! It looks like a nice one

[tiny gulch]

is tom dieck's book for algebraic topology a good first course

[heavy pelican]

Yes it's good but more like tome dieck am I right

[tiny gulch]

it does seem quite big

idk i've just bounced off algebraic topology so many times

i want to find an inroad to it

[heavy pelican]

I'd recommend Kirk & Davis instead. I'm assuming you're allergic to Hatcher

K&D is roughly the same content as tD but modern

[tiny gulch]

didn't know charlie kirk wrote an algtop book /s

[hazy cloud]

What is the quickest introduction y'all can recommend for surgery theory? I have an exam in over a month about which involves L-theory (although not in much depth)

[signal zenith]

Dieck’s book is very categorical and therefore you would probably like it, it explains things a lot more than May’s book as well tho still on the light end compared to something like Hatcher

It’s a nice book

[mighty tartan]

i tried reading dieck because i was built for it

i wasnt built for it

[signal zenith]

It’s at least better than May’s lol

Idk I like Dieck and Pseudonium is extremely category pilled so they will prob like at least the beginning of it

[mighty tartan]

thats true

i think i gave up somewhere along these paragraphs where he just defines some categories and tells us that standard notions like retractions are actually certain morphisms in these categories

[vital bane]

This is Dieck?

[mighty tartan]

yeah

[near plinth]

I'm going to buy " pre algebra by openstack "

[vital bane]

buy?

It's free

open access

[proud osprey]

Most frustrating part about Dieck is how all the exercises are just statements instead of "Prove x"

[signal zenith]

Yeah lol it’s a very pompous writing style

[near plinth]

Books encourage us bro .

I'm totally against ebooks

Computer screens are full of distractions .I'm not sure about other but I can't read books on screen

[round roost]

G

[heavy pelican]

Sanders Kupers had a book called "diffeomorphism groups" on the internet that you can find using Wayback Machine

or you can dm me. I have a pdf saved locally

I don't think you'll find L theory there but most of surgery theory, some algebraic K theory, ...

you can also look at Lück's huge tome

[trail void]

dude unless ur basically rich and dgaf

i do not recommend buying books till atleast calc

[molten gulch]

Just download the pdf

[trail void]

too big and you dont spend too much time on them as they also dont require that much attention to details

[hazy cloud]

Uh yeah, which one?

I hope not the recent book, because I am intentionally looking for something shorter 😅

[heavy pelican]

https://math.uchicago.edu/~shmuel/tom-readings/Luck Surgery book.pdf this is shorter I'd go with this. But he has "Surgery theory: Foundations" that's many pages long

Yeah it's too long

When I had to use surgery with normal maps I read Wall but that has many errors

It's also long

I'd say this though: once you know the proof of s cobordism theorem you can more or less derive everything else by yourself

It becomes easier to guess what's happening

[hazy cloud]

The issue is that I am not a topologist or differential geometer so I am unsure about this. Then again, for my purposes I only need to, in Lück's words, "know what the surgery exact sequence is"

[marble swallow]

@cunning elk
You mentioned something about Kleppner and kolenkow.

I am following the same book. Just started.

I downloaded some solution manual from Google , but i doubt whether the solutions in them are correct.

Can u suggest some source , from where I can check my answers or where I can see solutions of needed

[robust mist]

anyone know how tough a course based on Advanced Engineering Mathematics by Kreyszig would be

diff eq + calc 3 prereq for reference

covers odes and pdes/fourier series, stats, linear alg

[mortal iris]

Difficulty is subjective

[robust mist]

thanks for the helpful insight

[rich sun]

<@&268886789983436800>

[remote knoll]

@hybrid spoke we don't do that here.

[robust mist]

LMAO

[mortal iris]

If you could tell what you're comfortable with and what you generally find difficult then one could guess to some extent how difficult it would be for you. Just knowing what's gonna be covered and from where isn't good enough. That said it would arguably be easier than proper math courses covering these topics and may feel rushed and disconnected.

[robust mist]

well i presume the course is modeled around the required textbook, so homeworks and exams would follow the style and difficulty of the textbook examples and questions

i was wondering if anyone had experience with the book, not so much telling me if imma struggle or be chilling

[willow pecan]

<@&268886789983436800>

[mellow rivet]

<@&268886789983436800>

Oops I lagged BAD there

[mighty tartan]

Lol

[remote vortex]

<@&268886789983436800>

[tiny gulch]

oh but i love this

[mighty tartan]

insanity

[tiny gulch]

what's not to like

[robust mist]

preciate the response. so you’re just saying it’s likely that my major courses use the math learnt in it, but in a harder way? sorry i’m rereading your message and idrk what to take away from it. what eng discipline if i may ask as well?

gotcha. did you use that exact book or just the “advanced engineering math” type of class

okay cool

yeah i hope it helps prep me for transport phenomena

also doing a math minor so it’d count

ik

are you doing math phd

oh your role says postgrad math

math minor is just an extra class from what’s required and if i can prep myself for grad school or r&d then it’s a win win

yeah fs, i’m in a credit of research now to see if i like it enough to commit over the summer for an reu, which will then help shape my grad school opinions lol

also depends on how the economy and job market will look in 2028 when i graduate

anyways thanks for the feedback it makes me feel a lil more comfortable taking it next sem now

yep it’s not the most practical thing since on the job or even research you use computers and numerical methods to do everything, but i do enjoy learning the underlying theory and computation

as exemplified by me being in a math discord 😭

gibberish to me but agreed 👍

math people develop ways to describe the world and engineers and physicists abuse it to make stuff

[heavy pelican]

Imagine being an engineer and adding a fourth gimbal rather than using quaternions

[robust mist]

Sorry ill go back to my simpleton pdes

[pure anvil]

Calisthenics are cool

[still notch]

woah i just saw your obsidian website and it looks very cool. Would you mind sharing how you did it? Currenlty I have like hundreds of pages of overleaf and separate projects. (Not sure if this is place to discuss or if we can move discussion elsewhere)

[gray gazelle]

If you haven't read Principia Mathematica by 6 you are cooked

[gray oracle]

https://obsidian.md/publish

it's paid tho

you could try this:
https://github.com/jackyzha0/quartz

[molten gulch]

Don't use frameworks, writing HTML and CSS is not hard

[gray oracle]

of course

but they asked for how to accomplish something similar

and they just want to publish their latex documents to the internet in a simple manner

i agree otherwise, javascript is bloated and not really ideal for privsec

[still notch]

is there a way instead to reproduce locally (i.e. not publish to internet yet?) Mostly like the way Super Matroid has the links set up so that evne in adjancet fields/subjects can just go directly there to refresh. At the same time sometimes I feel I spend more time writing/typesetting etc rather than actually doing math

[velvet rivet]

Obsidian, the software super matroid uses, is free

Just publishing it to the internet using their service costs money

[gray oracle]

obsidian is completely free to use yes

i can also highly vouch for typst if you want to write faster

a lot of llms will also be able to transcribe any written work you do and write latex/typst code without you having to waste time

you could try it out

[naive mica]

I can also vouch for Typst

[hollow lintel]

I need a good book

Like a good good

[stuck zephyr]

like what kinda book do you want?

[trail void]

• Sophia's World (if you prefer a fictional way of being introduced to philosphy from presocrates to most of western philosophy )
• shelly kagan - death ( book about the metaphysics and value theory of death, also serves as an introductory philosophy book )
• The Dawn of Everything - David Wengrow (sort of an anarchist view of human history, rated much more accurate than Yuval Harrari's Sapiens)
• How to read a book intelligently - Mortimer J. Adler (shows the joys of reading, how to read better, also the writing is really nice and enjoyable, shows you how nice reading is tbh and in a way teaches you etiquettes..pstt, dont forget to check appendix A at the end of the book, he gives you a list of 137 figures that formed most of intellectual history starting from homer, to sartre)
• Max Stirner - the ego and it's own (although its best to read hegel before that, and best to read figures prior to hegel to read hegel, you can work your way up from this book about the ego, it also serves as an anarchist political thought bible)
• Tao Te ching or Zhuang zi (really nice books on chinese philosophy, uses metaphors and allegories to display profound messages)
• A Mathematician's Lament (Really creative essay on how mathematics is butchered many ways and promotes pure mathematics)
  if you prefer fiction thats not classical, go for webnovels, reverend insanity, renegade immortal. pursuit of truth, lord of mysteries, shadow slave

You can also read adam smith's the wealth of nations ( make sure to read his other works too), You can read kant, francois de la rochefoucauld, jean de bruyere, Plato ( most works on parmenides, socrates etc are written by plato)

heavily recommend sartre aswell

OH AND HOMER OFCOURSE DONT FORGET HOMER

[slender yacht]

The last one is a bit short..or at least the version i saw

[turbid quest]

Most accurate depiction of the Archivist role

[slender yacht]

I do agree that what my friends are being taught in math isn't at all theorems or definitions, just a bunch of rules and tricks to get exercises right

Disappointing

[stable dagger]

you would better recommend 'The Web of Life' Fritjof Capra

[gray gazelle]

I'd like to state that philosophy is a vast field and majority of them doesn't require prerequisite to start reading them. Sophie's world, or any "general" philosophy books that encompasses the introduction of the whole, might be a good starting point to a newcomer at reading, in general, but not necessary for one to start reading philosophy. It would be a waste of time for the reader when he could start away with the topic he is interested in.

If one wants to read philosophy and has a specific topic in mind, try searching it on the Stanford Encyclopedia of Philosophy (1) to get a grasp of it. One could also use it to explore topics using the random entry under the browse section. If you have found your topic, you could go search in the r/askphilosophy subreddit for books, in relation to that topic, suitable for newcomers.

Anyway I've included the link of an overview of the subreddit's recommendations (2). If one is still unsure or hesitant, try watching Kane B's videos (3), Dr. Gregory Sadler's (4), Philosophy Overdose (5), Wireless Philosophy (6), Dr. Michael Sugrue (7). They're quite known to the philosophy community, especially to students, and are reliable to each of their taught topics. You could also see some lecture videos roaming around YouTube posted by universities. They're quite handy when I missed one in my Kant class.

1 https://plato.stanford.edu
2 https://www.reddit.com/r/AskPhilosophyFAQ/comments/4ifqi3/im_interested_in_philosophy_where_should_i_start/
3 https://www.youtube.com/@KaneB
4 https://www.youtube.com/@GregoryBSadler
5 https://www.youtube.com/@Philosophy_Overdose
6 https://www.youtube.com/@WirelessPhilosophy
7 https://www.youtube.com/@dr.michaelsugrue

[twilit carbon]

Does anyone know if "Mind for numbers" is good for computer scientists?
I mean it tells you how to learn, but at the end it's hard to follow the concepts
Or am I missing something ?

[eternal flame]

fritjof capra might be a loon

more qualified physicists don't really credit either his contributions or understandings of and to physics or philosophy

i personally dont recommend

[flint dove]

Hello, could anyone recommend a book on elliptic curves?

[mortal iris]

https://tenor.com/view/andrew-tate-top-g-cigar-smoking-andrew-tate-cigar-gif-26262606

[flint dove]

Good, thanks

[visual delta]

I found a book was freely downloadable from my university's library that touches on it. So, it's good.

[potent hemlock]

any recommendations for someone who understands stuff from predicates and propositions but is kind of struggling on any proofs

Currently got a test for stuff related to Strong Induction and various related discrete topics like pigeonhole, but I'm honestly shaky on the more procedural aspects of it

currently using Kolam, Busby and Ross's book on discrete maths, but I don't know if there's better

[gentle plinth]

On which topic tho?

[fiery elbow]

Excuse me, I have this book called Practical Algebra by Bobson Wong, Larisa Bukalov, and Steve Slavin. I was wondering if anyone could look into it to see if it's a good book. I just want to strengthen my math skills before continuing physics.

[mortal iris]

THIS

[pearl palm]

Go to the bad library

[mortal iris]

This

It's bad tho.

[analog isle]

guys can i get a real analysis book

[arctic wedge]

any free ebooks on the topic of introduction to combinatorics?

sweet, thanks

[tender cobalt]

What is the hardest (abstract) algebra book for beginners?

[short fable]

💀

[tender cobalt]

💀

[mortal iris]

Gorodentsev or Lang

[tender cobalt]

wow gorodentsev does ring first approach? 😭

[wet sentinel]

are you asking about such a book to study AA from it?

[tender cobalt]

yes

i want alot of crazy sophistication

[daring wolf]

Read EGA

[wet sentinel]

yea well i would say that you should avoid this tbf

dont look for hard books to study from

[daring wolf]

bro reads Lang but telling other people not to wilted rose

[wet sentinel]

harder doesnt mean better

[tender cobalt]

well

suggest

goated books

Im currently reading jacobson I

[wet sentinel]

i am saying that because of this

if you look at the books i have used to study the subjects which i have studied up to now, you will notice that they are all like this

[tender cobalt]

🥀

[wet sentinel]

for example PMA for intro analysis, lang for algebra, greub for linear algebra

[tender cobalt]

Bro is like a smoker whos telling others to stop smoking

[wet sentinel]

its because i used to search for hard books to study from

but i realized that this isnt the correct approach

[normal crystal]

he read Spivak for prealgebra

[tender cobalt]

😔

[daring wolf]

I read smooth manifolds for intro multivariable calculus

[tender cobalt]

I read functonal analysis for intro LA

[tender cobalt]

is gorodentsev good to learn algebra from

yo what it covers LA too

[marble swallow]

I am following the book "introduction to mechanics" by Kleppner and Kolenkow.
Just started.

I downloaded some solution manual from Google , but i doubt whether the solutions in them are correct.

Can u suggest some source , from where I can check my answers or where I can see solutions of needed

[wet sentinel]

tbh you can try lang or a book like that and see if you can go through it in a reasonable pace then go for it

if you will struggle too much then it might not be worth the huge amount of time

perosnally i am still with lang because i got used to it and also because i really dont like books like D&F which yap too much imo

[tender cobalt]

ooo

I like jacobson

he doesnt yap too much but isnt too terse either, explains just however much is needed

[tender cobalt]

wat about Gorodentsev

[wet sentinel]

idk about that book

[desert oriole]

👎👎👎

[mortal iris]

Not for beginners

<@&268886789983436800>

[remote knoll]

Hi, we don't allow solicitation of pirated materials. Sorry

[daring wolf]

<@&268886789983436800>

[flint dove]

Is that solution’s manual from the authors? If not, I think there is a solution’s manual from them

[trail void]

its better to have some sort of introduction if you haven't been exposed to it before. Necessary? probably not. immensely helpful? Yes.
Also i find those books enjoyable on their own, its a side bonus if theyre introductory.
Yes i agree with your second point
Thank you for the recc

[trail void]

Yes its good i read it a while ago

its not that hard

reread

[trail void]

homer?

[gray gazelle]

I wouldn’t say they’re immensely helpful relative to others, but they’re certainly helpful for those who doesn’t aim for philosophical rigor.

[normal crystal]

<@&268886789983436800>

[clever stratus]

not here either

[trail void]

yes i meant the latter

[tough salmon]

Recommend me a good algebraic topology book that is available as a pdf online.

[remote sparrow]

pretty sure hatcher is the only well-known candidate

[sacred thicket]

friedl's notes, though they have no exercises

[tough salmon]

thank you

[signal zenith]

You can find all of them online lol

[alpine tapir]

I have been coerced into taking AP calculus bc and AP physics C: mechanics and if I don’t get a good calculus book I am going to shrivel up and die

pls help

[tame tree]

use khan academy, paul's online notes, and some vanilla text like stewart or larson calculus

paul's online notes in particularly is very good and free

[grave lintel]

i like early transcendentals as a textbook

[junior palm]

what kind of cs or math topics does being a quant need to know? and if so what books do you recommend

i heard its not negotiable that you have to learn cpp

[cunning elk]

interview questions involve quite a bit of probability usually

[smoky forum]

Hey guys. I take down pirated textbooks. Anyone know the most BEST linear algebra textbook thats piratable?

Ideally one thats good for self studying cus I hear thats all the rage these days and I want to TAKE IT DOWN

[rich sun]

please take down LADR

[smoky forum]

links are massively useful

whats ladr?

[rich sun]

linear algebra done right

[smoky forum]

gone

[cunning elk]

[smoky forum]

thank you

wait it says it should be a second brush with lin alg. You got a book for my first brsh? I mean other peoples first brush. Because more people will be in their first brush than second so I gotta remove that

Like, is this a good book for calc 2 knowledge? I know a lot of people come from calc 2

[rich sun]

my first brush are lecture notes

[cunning elk]

why do you have such a hard on against pirated books lmao

sure posting them is not allowed on this server but

[smoky forum]

cus they are bad

and I want to get rid of ALL pirated books

[blazing holly]

Edmond deleted it

[smoky forum]

I take that back just introductory linear algebra

[cunning elk]

the badly written computation slop ones can go on second thought

[smoky forum]

I take that back just the best introductory linear algebra book that someone with calc 2 knowledge would be in perfect need of

[smoky forum]

those can stay

Yeah Ill be right on that

thank you

[normal crystal]

he's gonna take down those too
gg

[smoky forum]

oh yeah

[humble spire]

What is a good textbook for calculus ab? Bc is fine too. It can be any calcukus textbook that covers those areas well

[cunning elk]

literally any standard calculus textbook

AP calc is non rigorous computation slop anyway so I guess Stewart, thomas, etc suffices

[dry tangle]

fym non rigorous computation slop wtf do you expect from the easier version a class taken by most hsers? Its not ra nor is it labeled as ra

[smoky forum]

gang why tf is this 1.1 idk what this means. A linear combination of x1, . . . , xn has the form a1x1 + a2x2 + a3x3 + · · · + anxn where the numbers a1, . . . , an ∈ R are the combination’s coefficients. A linear equation in the variables x1, . . . , xn has the form a1x1 + a2x2 + a3x3 + · · · + anxn = d where d ∈ R is the constant. An n-tuple (s1, s2, . . . , sn) ∈ R n is a solution of, or satisfies, that equation if substituting the numbers s1, . . . , sn for the variables gives a true statement: a1s1 + a2s2 + · · · + ansn = d. A system of linear equations a1,1x1 + a1,2x2 + · · · + a1,nxn = d1 a2,1x1 + a2,2x2 + · · · + a2,nxn = d2 . . . am,1x1 + am,2x2 + · · · + am,nxn = dm has the solution (s1, s2, . . . , sn) if that n-tuple is a solution of all of the equations.

wait i get it now im js slow

[dapper bobcat]

Are there any books with slightly advanced multiplication problems that the average person would need a calculator for? To help me get faster.

And so mental math

[humble spire]

Ty! I have seen spivak recommended a lot, is a more advanced book useful for the ap course or is it overkill

?

[cunning elk]

spivak is useful if you want a more rigorous proof based approach

but you don’t really do proofs in AP

so if your goal is just to get a 5 on the exam a standard computational text like Stewart or thomas is fine

[cunning elk]

you may find some of the stuff on cut the knot useful: https://www.cut-the-knot.org

also you don’t really need a book to practice basic arithmetic lol there are probably plenty of websites that can randomly generate them for you to practice on

[remote knoll]

0 magic at all, or is understated magic ok?

[strange wedge]

K-theory, an introduction

Max karoubi

[remote knoll]

Song of Ice and Fire is famous for a reason, but you're probably already aware of it. I'm personally fond of The Deed of Paksennarion by Elizabeth Moon. I also can recommend Gormenghast by Mervyn Peake, though I haven't read them in forever.

[burnt juniper]

I wish Martin would actually finish SoIaF

[remote knoll]

Same to both