book-recommendations

[prime oak]

true but as a reference ive found grandpa rudin to be so useful

[remote vortex]

I mean, other than PMA, the books are mildly defensible inasmuch as the intended audience will be better equipped to absorb a dense text with almost no exposition.

[prime oak]

even baby rudin i still open at times and go through

[mortal iris]

Guess which country colonised most of these places and why this sort of rubbish respect thing came out of there?

[opaque eagle]

-# Does that mean we found out the supremum and infimum of the lattice of book trilogies?

[remote vortex]

Baby Rudin is a very fine book in many ways, but it's a lousy textbook, and in particular it's usually a very bad recommendation for self-studying

[mortal iris]

Yeah. That I agree with.

[prime oak]

yeah i probably would never use a rudin to study anything

but if you already have and need a reference, i dont see them as necessarily bad

but RCA doesnt always cover the content i need so i dont use that one much

[remote vortex]

Oh yes, PMA is excellent as reference for a person who already knows real analysis

Since then you don't need the exposition, and also you'll appreciate the conciseness of the proofs

[prime oak]

to study i used... whatever my professors told me to at varying points in time

[willow pecan]

The story behind this is that Rudin had a bunch of pictures prepared and then the publisher removed them for cost cutting purposes

[prime oak]

OMG, pictures in rudin?

[tame tree]

wouldve been peak

[mortal iris]

It's not so much about India or JEE but rather the culture that's built around it which is about getting an answer no matter how absurdly senseless and incorrect the reasoning may be. Not only that but the contrived difficulty of the exam which makes your average Joe get a really big ego just because they prepare for it. There's layers to this honestly.

[willow pecan]

It literally would have been a normally usable book but instead we got ???????

[mortal iris]

Not sure the absense of pictures alone is the problem here.

[prime oak]

i feel like if i do want to discuss i should move channels but theyre just like, 16-17 year old kids who've been told stuff by everyone around them, but really "sir" and "ma'am" in indian english are such a non-issue, theyre just how south asians refer to their teachers or professors, its like saying "prof. Name", it doesnt mean anything

[molten gulch]

Bruh wtf????? Aw that's just sad

[remote sparrow]

@final wren what bits of operator algebras are necessary to know for quantum information theory and quantum computing, and what sources are good for this purpose? is murphy's C*-Algebras and Operator Theory suitable?

[final wren]

I'd say you get away with that and "complety bounded maps and operator algebras" by vern paulsen, yes

[mortal iris]

Agreed, but I'll just say this. The usage here is less so simply a matter of English but more so a matter of systematic oppression which is still being propagated in the country, now by its own citizens. There is an abject fear of not saying it for these reasons. Around here, words like sir/ma'am don't signify respect or politeness, but servitude.

[remote sparrow]

"that" refers to murphy?

[final wren]

Afaik QIT and QC relies a lot on the Choi-Effros theorem and matrix ampliations

[final wren]

Yes. Murphy is pretty good for c*-algebras

Another good intro imo is "C*-algebras by example" from K. Davidson

[remote sparrow]

https://link.springer.com/book/10.1007/978-3-031-63665-3

do the contents overlap wrt to opalg or does one do more than the other

[final wren]

C*-algebras by example is a little more advanced, so you're better off with this book ^ as well as murphy's and paulsen's

[remote sparrow]

[final wren]

Though the basics overlap of course

[final wren]

Good luck

[prime oak]

i know, but like, indians simply also happen to inhabit this space. i know many indian mathematician peers irl who are here. its simply a usage in indian english, and doesnt mean much. it feels weird to cause such a stir over it when, given how big mathematics is in south asia (and i dont just mean for competitive exams for school children), it literally is just a non-issue in practice. people use "sir/ma'am" out of habit from years of use, it basically means nothing more for most purposes.

<@&268886789983436800>

[mortal iris]

I am Indian myself and I do know some other Indians here as well. That said, the usage in Indian English is not merely habit. If it really was, at least I personally wouldn't mind. It represents servitude here. I don't mind people saying it as much as them being absolutely unable to not use names. People refer to their colleagues as sir just because they've worked for longer even if they're younger. It's because the society here is all about social seniority clout.

[prime oak]

for many people it really is just habit and feels awkward to not use it, no matter what it originally derives from. i would also like it if it wasnt used, since its roots are colonial-hierarchical, but people are simply used to saying it 🤷🏾. in any case, engaging with it in a way other than just saying "hey, this isn't standard outside of indian english" is useless to that goal anyway.

[prime oak]

never heard anyone use "sir" for a colleague, that would be bizarre. only for students talking about professors.

[mortal iris]

Oh boy. It is bizarre but very very common. Also in the context that was just criticised, the author of the book is no professor. Just a part of the entrance coaching industry that likes to put down ppl who don't fit his idea of "smart" lol but will happily take their money. By those standards he's not even a teacher, just an industrialist looting poor folks.

[odd cargo]

https://tenor.com/view/speed-ishowspeed-twitter-meme-ishowspeed-twitter-gif-11849189132464068160

[normal crystal]

I wasn't even the main participant in that conversation, but if you wanted everyone to move on, why did you necro when it was over

[prime oak]

just because people here seem to have a genuine knee jerk reaction and aversion to indian kids asking whatever and i wanted to address it

[prime oak]

yeah, i mean, the coaching industry sucks

but like, i dont know, i too was on this server at one point preparing for my JEEs as a kid. reacting to them like theyre a nuisance seems unnecessary

[trail void]

if ur a post grad now

how long have u been in this server

[prime oak]

idk quite a few years

[trail void]

2019 holyy

[visual delta]

Yay

[mortal iris]

Nothing against Indian kids on my part. I personally despise those stupidly contrived exams and studying from resources dedicated to such things often give you tunnel vision so I never recommend them. I do often recommend the very books from which these poorly written excuses of books tend to pick problems and theory out of if asked normally.

But a lot of these kids have a hot head barging in here and claiming how it's a very difficult exam and what not when nobody asked. That's not normal. Moreover you like some topic and wanna learn more, then learn it. Ask for stuff in order to learn it. Great! Idt anyone reasonable will question that.

But if you want to study things solely for the preparation of an exam and do not care for learning them properly (and I do not mean rigorously here at all) because you think it doesn't help for the exam, it is quite problematic. It's rarely about getting better at something with your average Indian student. This attitude has only seemed to have gotten worse and worse with time.

I display the exact same petulance towards people who say shit like "I just wanna pass this" or "I want a book to practice for Olympiads without any theory" and the likes. I'd rather not recommend the books propagated by the coaching industry in India and it pisses me off to see these kids nonchalantly recommend things like RD Sharma or NCERT when they're terrible books. And then there's this Black Book shit as well. And I view books like Stewart in the same vein as these.

The industry is so bad that it's even taken great books like Apostol and Halliday & Resnick and turned them completely soul-less to adapt them for "Indian" students lol. Tell me this, do these texts really need to be re-adapted for students of a country? Cheaper print or translation is one thing, but why re-adapt general texts with clear pre-requisites?

[prime oak]

there are kids around the world learning maths and coming here for help even if theyre not particularly interested, but because they have to. in fact thats always been the primary userbase of the server. again i dont really care for these exams or the industry of stupid books surrounding it, nor think they should exist, but the fact is that they do, and many write it out of necessity, not preference 🤷🏾.

[fresh bay]

Agreed

[mortal iris]

I rarely am harsh about this when it comes to actual problems where people are seeking help though. It's the tunnel vision towards misguided resources and the unnecessary comments about how difficult the exam is.

[prime oak]

no point in having an elitist attitude about it. we have plenty of competent institutes specialised for mathematics, and plenty of the same people who develop a genuine interest end up going to these (im sure you know of all these unis).

[oblique hatch]

I think it’s less the comments about how hard the exams are that irritate me, and more the “JEE is so hard and everything else is trivial” attitude

[trail void]

LOL true

[mortal iris]

Pretty much what I'm getting at

[fresh bay]

It's frustrating but we know better so there's no point in needing to feel offended

[prime oak]

i mean, the JEE is a hard exam inasmuch as you have to do a bunch of questions in a short amount of time in multiple subjects, and its competitive since the entire country is preparing for it. literally these are just kids who dont know much outside of their limited perspective from whatever theyre fed by their 'coaches', in a brutal learning environment.

[mortal iris]

I'll admit to getting ragebaited by this kind of stuff very easily. That's not necessarily the most constructive thing.

[prime oak]

if the great firewall ever comes off and chinese kids preparing for the gaokao also show up this server might die

[mortal iris]

We know it's hard and brutal, but you don't have to bring that up every freaking time like as if there's nothing harder or more brutal lol.

[trail void]

Isnt alevels harder anyway

[molten gulch]

that's it, solve the riemann hypothesis to get into uni

[prime oak]

man, who cares, theyre literally children in school

[mortal iris]

Not even close. JEE had a very contrived difficulty level. It's not organically difficult.

[prime oak]

again JEEs are still a very difficult exam not in the exam papers themselves, but the competitiveness

[mortal iris]

Idk being in the education ecosystem of this country I often find it important to care.

[odd cargo]

which book is this from

[prime oak]

the problem is the coaching industry, not children unwillingly forced into it

[mortal iris]

Fair enough. That's true. But our words will not fall upon those moghuls. The ones we can talk to are their customers.

[oblique hatch]

Trivial

[prime oak]

a small subsection of people objecting have absolutely zero power, the coaching industry is not only backed by the biggest and most powerful people and companies in the country, but also the education lobby in the governments

[mortal iris]

Well aware. But what little we can do to get what few ppl we know away from that industry is a good thing until a better solution comes by.

[prime oak]

and competitive exams themselves are unfortunately just the norm at every level. to get into your masters, your phd, even to get assistant professorship

to do anything you end up having to put yourself through the hell of preparing for stupid exams with their "difficulty" being the time constraint and number of applicants

[mortal iris]

Fun fact. The grad level exam JAM often has far easier problems than JEE Advanced lol in the parts of the syllabus that overlap lol.

[prime oak]

yeah its pretty easy

long as you prepare for it

[mortal iris]

And yeah while this is true, I despise this all the more. There is a small wind of change in this regard tho. Ik a few unis in India, good ones, that don't have an exam only entry route.

And written exams are a horrible way to see if someone is research ready or prepared to lecture in university

It's one of the most braindead systems I've ever seen

[prime oak]

yeah but its just how it is unless you can buy your way out of the system

ISI, CMI etc. do have excellent teaching and do genuine high-quality research

not in a "good for an indian institute" way but genuinely just good

[mortal iris]

Well there are ways out which don't involve any buying either. Harder to find. Harder to evaluate. Especially when you're a kid. So I sympathise with JEE prep students. But it is a terrible terrible thing to aspire for an exam (JEE Aspirants ) and not to make something of yourself.

[prime oak]

yeah i mean, its the story of everyone in south asia and even east asia

[mortal iris]

No less evil there but at least they don't show up (the Chinese can't) with a monologue about how difficult it is and that they're preparing for it lol.

[mortal iris]

Teaching is a hit or miss in some of them. Depends on the prof. Research is good tho.

[prime oak]

yeah india just happens to have the highest population and be english-speaking

[trail void]

isnt South Korea's Suneung Exam a bajillion times harder yet i never hear anybody mention it even

[prime oak]

maybe true, i didnt study there, just what my peers said. if youre studying there you would know better

oh my god same again <@&268886789983436800>

[mortal iris]

<@&268886789983436800>

[mortal iris]

Haven't studied there (I escaped this hell hole but got back because the West is a culinary hell hole lol) but have been involved with the unis and a close friend was at IMSc for grad school which often offers courses in tandem with CMI.

[prime oak]

yeah research is very good at those institutions

[oblique hatch]

in my experience, good research and all around good teaching seem to be basically mutually exclusive

[prime oak]

lol true

some of my best professors didnt do much research, some of my worst professors were very good in their field

[hazy saffron]

hello everybody, I'm bad at Arithmetics and I have the whole summer to improve, what books would you recommend me to work with

[visual delta]

The book is Advanced Linear and Matrix Algebra by Nathaniel Johnston. It should be noted that the solutions to both exercises are in the back of the book.

[hazy saffron]

Thanks for the recommendation! Just to clarify, I think there was a misunderstanding. I'm actually looking for Elementary Number Theory (congruences, divisibility, prime numbers) rather than Linear Algebra. I used the word 'arithmetic' because that's how we call this branch in my curriculum

[molten gulch]

Burton

[visual delta]

No, I was replying to someone else's question.

[hazy saffron]

ok

[hazy saffron]

tysm

[mortal iris]

Silverman also has a nice book on this. Love his writing style. Might wanna check it out. Burton is still great tho.

[hazy saffron]

Thanks, I'll check it out too

[remote sparrow]

Scheck's book is another and it also spends some time on the geometry which is a plus. Fassano and Marmi have a more rigorous option for the same as well and it covers a bit of statistical mechanics too.

by "a more rigorous option" do you mean fasano is more rigorous than scheck?

https://link.springer.com/book/10.1007/978-90-481-2393-3

i also found this in the wild

[mortal iris]

Not only that but it's close to being sufficiently rigorous for mathematicians.

[mortal iris]

Never come across this one.

[remote sparrow]

someone mentioned "solved problems in classical mechanics" on a reddit post, so i did a manual google search and it was one of the suggestions

https://www.amazon.com/Classical-Mechanics-John-Michael-Finn/dp/938029834X

i also found this from a reddit post

there are pdfs for both the books i mentioned

[mortal iris]

This looks farely standard but seems to have some interesting topics sprinkled in. Never in my wildest dreams did I imagine seeing a section on Bohmian Mechanics in a Classical Mechanics book

[mortal iris]

I like it. Has a very nice historical touch like Spivak's but more friendly for physics students than his book. I'm reading the Newtonian chapter rn. Lots of interesting tidbits. Very chatty book from the looks of it.

[remote sparrow]

https://www.wm.edu/as/physics/news/archive-news/pre-2010/with-great-sadness-we-mourn-the-loss-of-professor-mike-finn-who-passed-away-on-january-31,-2009-.php

wow bro died about a year after writing that book

[remote sparrow]

@vital bane this book is about at goldstein's level

[remote sparrow]

lmk ur final verdict whenever ur ready

[mortal iris]

I've only seen it cursorily. Nice blend of topics but some of the technical jargon used earlier on in the book is not explained then and there. The geometry is also a bit wishy washy. Pretty fast paced for what it offers despite being chatty in some sections. Nicely written otherwise. It's a harder book than Goldstein to go through tho but I'll recommend this over Goldie from what I can see. This book also covers a ton of non-standard topics every now and then. One great thing is that there is a lot of effort to bridge the topics to other areas. Something that's barely present in Goldie. I also saw some really cool problems both in the examples at chapter ends.

[normal crystal]

Sour Drop hiding that he scans obituaries for textbook recommendations

[remote sparrow]

speaking of bridging the topic to other areas, that's exactly what helliwell and sahakian claims to do

https://www.amazon.com/Modern-Classical-Mechanics-T-Helliwell/dp/1108834973

[cunning elk]

choose your #book-recommendations fighter (according to craiglaurence)!

[supple geode]

I wanna buy a book that will help me build foundation for maths.
I didn't took mathematics seriously in early classes but I am now interested in getting good at it, I wanna solve complex problems as well, It looks super intriguing.
Can anyone suggest a good book to start with?
I was looking at this book: Everything You need to Ace MATH in one big fat notebook. Will It help?

[mortal iris]

It does indeed, although I'm not the biggest fan. But it is a good text for your average physics student.

[mortal iris]

A math book that claims to have all you need to ace math is the last place you wanna learn math from lol. What grade are you in? What do you already know? Your name suggests you're Indian. Are you native to India? Depending on your responses I can suggest what might be good places to start.

[warm quarry]

from what I've heard, it's a decent introduction for people who just want to start getting into math at the high school level

[supple geode]

I am native to india, I just started college and I didn't had maths in my senior secondary classes (11th and 12th)

[mortal iris]

So I'm guessing you were a humanities or commerce student and pursuing something along those lines in college?

[supple geode]

yeah, I was a commerce student and opted for BCA in college

[normal crystal]

it's a middle school math book, decent for what it is

[mortal iris]

Title sells the wrong idea tho.

[warm quarry]

nevermind. i just googled it and it's closer to middle school/very early high school. but it is still considered pretty decent for beginners

[normal crystal]

considering the typical HS graduate
it's accurate🤡

they have more in the series for the rest of US HS sequence

[warm quarry]

it's kinda like a textbook dressed up as a pop science book. it's got colour coded notes and doodles inside

it's themed like someone going through math class and taking notes

it's kinda like a fast paced summary guide though and doesn't have a bunch of questions or anything

[normal crystal]

we're still waiting for the new Amazon bestseller
"Sir JEEminati teaches you everything you need to know
(except doing well on the JEE)"

[supple geode]

My primary priority is to understand some algebra and arithematic (time and work, TSD etc.) and overall make up for foundation. I just wanna know if It is good till Class 10th mathematics (Indian Structure).

[normal crystal]

can't you compare the table of contents to what you need to know

[supple geode]

Table of contents suggests let's say "number system" but how do I know how in depth the book will go into the particular topic

[mortal iris]

Okay. Let me stop you there. India's math curriculum at the school level may be good but there are very few books that cover them properly at that level. The Indian books themselves tend to be a bit all over the place for this matter.

[supple geode]

valid point

especially NCERT

[mortal iris]

Honestly, best place for you to start might be Khan Academy. I can't think of a good enough book. But you can learn some very nice arithmetic calculation tricks from Shakuntala Devi's Joy of Numbers and make your basic algebra strong with Hall & Knight's Algebra for Beginners.

[supple geode]

Ohh, so courses are better for me as of now?

[normal crystal]

Ravi, I think if you like the look of the Big Fat Notebook series you can use those as a broad sketch
but then fill in the details with whatever Killuminati suggested for the Indian curriculum

[supple geode]

Yeah, I came to a conclusion and got Algebra 1 in one big fat notebook and learning the rest like arithematic and number systems from khan academy and youtube playlists.

[mortal iris]

Yeah, I'd start there. But the two books I mentioned are good to buy. They're super cheap and available in India. Dolciani's Modern Algebra 1 and 2 should also be good but hard to find in India unless you plan on "getting it" from the internet.

[supple geode]

You mean Shakuntala Devi's The Book of Numbers?

[mortal iris]

Look for Professor Leonard and ProfRobBob

[mortal iris]

No. Figuring: The Joy of Numbers

[supple geode]

it is currently unavailable for whatever reason

[mortal iris]

Get it when it is available. It won't help with the standard stuff but it will teach you some number theory without really teaching you number theory.

Algebra for Beginners by Hall and Knight is the more useful book. You can find it on Arihant's site and also Amazon.

[supple geode]

I ordered it already

[mortal iris]

You can also order Hall and Steven's A School Geometry and Loney's Plane Trigonometry. This more or less rounds up the junior high school syllabus with a little bit of senior high school stuff as well.

The only things missing would be discussions on number systems and probability but honestly with how little and useless the portion is at this stage, you don't need it until you do the high school stuff imo.

[supple geode]

Thanks bro, I ordered all 3 books, but for plane trigonometry It's only part 1 (arihant). I couldn't find part 2, does part 2 have a different name?

[mortal iris]

You don't need part 2 at the moment. There's a print by GKP but not worth buying given there are more well rounded senior high school books to study those portions from. For now, enjoy what you get. Learning math requires regular work and problem solving. So prepare yourself to do so.

Feel free to use the #1021175428326633542 if you get stuck while working on problems. You can also discuss concepts in #geometry-and-trigonometry, #prealg-and-algebra whenever you're confused.

[supple geode]

I genuinely appreciate that you gave me the time of your day to guide me
thanks

[supple geode]

sure 😉

[trail hemlock]

HAHAHHAHAA good one “craiglaurence”

🤣 🤣 🤣 🤣 🤣 🤣 🤣

[remote sparrow]

freitag's second complex analysis volume covers riemann surfaces and talks a bit about complex manifolds

https://link.springer.com/book/10.1007/978-3-031-11616-2

kind of a necro but maybe you'll find this a useful recommendation in the future

you can select from miranda as needed

[remote sparrow]

https://www.amazon.com/Ergodic-Theory-Probabilistic-Dynamical-Mathematics/dp/3032088356

@timber mesa soon to release on may 18, 2026

@remote vortex

https://link.springer.com/book/10.1007/978-3-642-28090-0

https://bookstore.ams.org/view?ProductCode=GSM/231

@timber mesa what's different about these books by barreira? (note the ams book is a second edition of barreira, and the first edition comes after the utx book)

[bitter jolt]

Any super awesome linear algebra books out there that anyone recommends?

Thank you so much!

[remote sparrow]

#book-recommendations message

[mortal iris]

Sergei Treil's LADW. Also FIS's Linear Algebra.

I also like Halmos's Linear Algebra Problem Book. Came across it recently. Didn't know it was basically an updated version of his Finite Dimensional Vector Spaces book. The book pretty much develops the theory via giving you problems to solve so you kinda get a guide on how to build Linear Algebra from the ground up.

[remote sparrow]

https://old.maa.org/press/maa-reviews/introduction-to-smooth-ergodic-theory-0

ah this book has no exercises

haven't checked the other one

[molten gulch]

My personal recommendation is usually Friedberg Insel and Spence's Linear Algebra alongside Axler's linear algebra done right (or Treil's linear algebra done wrong)

Morel's notes from yj are also good, if not somewhat harder IMHO

[remote knoll]

Math major perspective or engineering perspective? If latter, then Georgia tech has an online book that I've found to be good

[bitter jolt]

Thank you everyone

[timber mesa]

smooth ergodic theory is a tooooooooooooooooon mooooooore technical and terse, I spent literally my whole MSc fighting against it, it's meant to be a research monograph reference rather than an introduction

while the other is an introduction to the topics in the title, outlined for use in a course

both are great books for their particular purposes

but I'd recommend the Springer Universitext one for complete beginners to ergodic theory

[timber mesa]

oh that's very cool sounds exactly like my thing

CC @tight crag

[native cradle]

my measure collection

[molten gulch]

Your version of MIRA is outdated (note the gold cover), download the latest version from https://measure.axler.net as he has incorporated several fixes for errata up to October 2025

[native cradle]

thanks

[blissful remnant]

Hi all! I recently came across a book that offers an intriguing new perspective on Shakespeare's Hamlet and I would like to promote it. The only thing you need before reading it is to know the story of Hamlet. If you do, you're good to go. The book is also quite short—only about 35 pages long in the English edition. So it's a quick but thought-provoking read. It is in Kindle unlimited on Amazon. Please note that this is clearly a non-math book.

The link to the book is below:

https://books2read.com/u/mlv0O9

(Please let me know if the link is not working)

Here's the synopsis:

What if Hamlet is not primarily a play about the indecision of a single tragic hero, but a work about the limits of human judgment itself?

In this book, the author offers a bold new reading of Shakespeare’s Hamlet. Reexamining the political, religious, and intellectual background of Shakespeare’s age, she argues that the play’s center lies not only in revenge or hesitation, but in a deeper recognition of the instability of human judgment before God, history, and power.

The book explores the possible role of an unseen “true protagonist,” the significance of Ophelia as a dispersed chorus, the political limits of the Danish court, and the meaning of “Nothing” in relation to Ecclesiastes. It also traces a larger line of development from Hamlet to The Tempest, suggesting that Shakespeare’s thought moves from conflict and tragedy toward harmony and forgiveness.

Scholarly yet accessible, this study invites readers to rethink one of Shakespeare’s greatest plays and to reconsider what it means to judge, to act, and to be human.

I hope you enjoy the read!

[cunning elk]

chatgpt ahh synopsis

[blissful remnant]

I get it

[devout rapids]

we readin a book about a book now

[molten gulch]

Those have already existed for a while, this one is just embarrassing tho

[blissful remnant]

just for curiosity, in what ways is it embarassing?

[cunning elk]

see above^

if the synopsis is ai slop then that doesnt bode well for the quality of the actual book

the title also reads as ai slop

why are there three layers of subtitles 😭

[whole karma]

He is human. Sometimes human writings can feel "too Chatgpt—ish" and it's understandable.

[blissful remnant]

alright thanks for letting me know!

[blissful remnant]

hmm, I know the author's first language is not English, so it makes sense for it to sound like chatgpt or weird in some way

[mellow topaz]

Some of those can be good

[fallow cypress]

Hm but Hamlet already is a play about a play

[trail void]

man discovers commentaries

[devout rapids]

my intuition says those exist but i genuinely cant think of a single one rn 😭 are there any famous examples

[remote sparrow]

https://www.versobooks.com/products/803-a-companion-to-marx-s-capital

[devout rapids]

interesting

[lucid socket]

Hi! Does anyone have strong resources for learning calc, statistics, and data science? I am currently at the math level of algebra 2 and basic trig. (basic ml stack)

[trail void]

thats coz u havent read a book that deeply

plato has a million commentaries on him, same about aristotle, like

Heidegger has many on nietzsche

[devout rapids]

eh philo i only really know from youtube videos

[trail void]

💀

[devout rapids]

and the like

smh i read science non-fic

phil doesnt interest me that much really

[tardy hound]

I really like philosophy but can't understand nothing of it😭

[mortal iris]

Piskunov's Calculus and after that Blitzstein's Introduction to Probability along with Wasserman's All of Statistics should get you into the door. Data science is an extremely broad field but after this and picking up say Linear and Matrix Algebra by Johnston you can pick up any applied resource on Learning Theory.

[lucid socket]

thx

[clever sparrow]

Does it have to be a math book could I be like a popular science expository book recommendation

[cunning elk]

channel description says non math is also fine

[mortal iris]

First time I've seen a sentient book on the internet

[clever sparrow]

Thanks I really love Brian greenes and elegant universe

[mortal iris]

I see you didn't understand a word

[clever sparrow]

Nah I got it just wasnt entertaining it so I ignored it 😂

[mortal iris]

Here's some entertainment then. Good day.

I have much stronger words to say myself but I fear they'd be lost upon fanboys/fangirls lol.

[clever sparrow]

But its an absolute gem of a book though

[mortal iris]

It's well written but delulu

Kinda like how Hitler was an absolute gem of an orator lol (but barely even qualifies as human).

[clever sparrow]

Ngl I actually like how articulate you are bro one has to read between the lines to like understand

Low key making me feel slow

[remote sparrow]

godwin would approve of this conversation

[mystic orbit]

I want to learn about numerical analysis on PDEs/ODEs. But I don't want to tackle an entire textbook or a reference on the subject. Are there any online courses or, preferrably, lecture notes with toy projects that you would recommend? @rich sun

[mortal iris]

Dunno if this fits exactly what you want but there's a nice IBL course on the subject matter with each topic coming with projects. The course itself covers everything you can expect from a standard first course in numerical analysis but you can opt to focus on the topics you wish to and the projects if you know the basics.

[kindred bloom]

Any good introduction for ZF set theory (minus choice)? Seems like most textbooks assume axiom of choice.

[rich verge]

elements of set theory by Herbert Enderton was a good book for me

[native cradle]

book rec for a good time in general for people here

I had a chapter for my class was wonderful

[rocky notch]

Hello I am new here I need a favour can u please do for me that I am going to take admission in b.sc maths is it a good idea or should I go for cse as all friends go there but I want to study maths

[mortal iris]

This channel is called #book-recommendations. You wanna go to #study-discussion instead. In any case, do whatever you like. Who tf cares what your friends do? Are you human or sheep?

[rocky notch]

So can u please recommend me one for my 1st year algebra

[native cradle]

D&F?

Dummit and foote

Judson's algebra

[mortal iris]

One second

[rocky notch]

?

[mortal iris]

Just want to clarify

Are you from the Indian subcontinent?

[rocky notch]

What?

Yes

Why do u asked so?

[mortal iris]

Let's move over to #study-discussion. Else it hijacks this channel

[native cradle]

Ooh, one last thing, can I have book recs for ODEs

[mortal iris]

HSD, Arnol'd.

[native cradle]

do you have a link to the publisher's website

ooh found it

[native cradle]

the one by VI arnold?

[mortal iris]

Yep. Added the links to both. If I were you, I would not buy from Elsevier but use the book anyways. It's a great book.

[native cradle]

ouch

okay both are expensive

[native cradle]

It's analysis heavy I guess?

[normal crystal]

do you prefer the older edition, or just used the link

[native cradle]

I'll try thrifting it once I'm back home I guess, have a lot of good book stores for ts in bangalore

[mortal iris]

Just the link. But I did use the old edition when I used it.

[mortal iris]

Arnold's might be hard to find but you can possibly ask some unis if they have an old copy you can buy off of them. ICTS might just oblige.

[native cradle]

Worst case having a paperback of this classic is not a bad idea

[native cradle]

cool, thanks

[normal crystal]

what's the difference between the MIT press book and Springer of Arnold

[mortal iris]

Oh no. HSD is a wonderful book. It's a little more modern in its presentation is all since it involves Dynamical Systems Theory a bit.

It's Elsevier that's the problem lol.

[native cradle]

no, no.

I meant to ask are the books pure math -oriented

[mortal iris]

They both are, but Arnol'd in particular is not the typical Bourbaki-style pure mathematician. The guy will use physics as motivation more often than not but he will do things as rigorously as a Bourbaki nevertheless. He's rigorous but does not abstract for the sake of abstraction.

HSD takes some time to get to being rigorous but does some things really well.

[native cradle]

I hope my course is rigourous too

😔

the ode course

[mortal iris]

Genuinely have no clue. Probably just errata and expanded content.

[native cradle]

Also thanks so much for all the recs

across multiple subjects

this summer is going to be SO FUN

[mortal iris]

Just ask the prof or someone else who's taken the course before lol. If you're doing all this stuff in an Indian uni, I'm guessing you have a good department so you can get reasonable answers rather than the Indian uncle scoffing at you because you asked a question

[native cradle]

fair lol, just ranting a bit

can't wait for year 4( Homological alg, cat theory atleast)

and commutative alg

Well, not as compulsory courses, electives ofc

but fun times await

[mortal iris]

Ggs. Enjoy. Good luck tho. Sounds like heavy work.

[native cradle]

🙏

thanks

[rich sun]

If you want to start off with numerical analysis for ODEs, I can share some exercise sheets with you that also contain some programming exercises. Unfortunately, the corresponding lecture notes were not that useful to me for self learning.

[young grove]

Good suggestions for numerical analysis books?

Just starting out, will be applying in blender 3D software

Numerical Methods for Scientists and Engineers, R. W. Hamming
Is my thought, but interested to know more proper books for me

Online free stuff isn't my thing cuz too low attention span, so planning to buy a book instead

[remote sparrow]

my college assigns burden and faires

there are many editions, so picking a slightly older one would save you money

[young grove]

Ah thanks man

For differential equations any suggestions? Starting out as well

[honest charm]

hey guys i am a newcomer to mathematics do any of you have any books recommendations about how to deal with math or think like mathematically?(i am starting from pre-algebra) like self help books or math learning..etc

[willow pecan]

Iserles

<@&268886789983436800>

[mellow rivet]

<@&268886789983436800> haiii hard workers!~

Oop sniped

[sour lodge]

Hey guyss can u plz tell me which book to solve for pre calculus , like I want to prepare for my regional olympiad and I am weak at manipulation

[visual delta]

Should I read analysis books (Complex Analysis by Stein and Shakarchi, MIRA by Axler, functional analysis) or Lee's series on manifolds over the Summer?

[remote sparrow]

analysis

i mean it depends what u wanna do afterwards

my topology prof is a knot theorist who confessed to us that he never took measure theory

[green aurora]

when did science direct allow you to download epubs of books?!

although..... nowadays I would prefer a PDF 😆

[remote sparrow]

bro has finally been enlightened

we stan character development

[green aurora]

😃

Man, those eyes are eerie

😀

[normal crystal]

https://tenor.com/view/smart-phone-can-you-do-this-flip-phone-think-youre-so-great-gif-15682808

[remote sparrow]

there are some pretty cool flip-smartphones

[normal crystal]

shhhhhh
he finally is moving on

[trail hemlock]

yo unc can we please stay on topic or i will be forced to ping the moderators

[normal crystal]

I get you miss Mike, but I can't replace him for you

[remote sparrow]

anything you're reading currently?

[visual delta]

If I read MIRA by Axler will that be enough to read most of Hall's Quantum Theory book?

[mortal iris]

If you also know some group theory then yes, except for the last 3 chapters (on geometric quantisation) where it's preferable to know some differential geometry. Hall does present the material in a self contained manner as much as possible though so if you've seen manifolds only to the extent of Multivariable Calculus also I think you'll be fine for those chapters. Also, you'll find some useful additional material and errata here.

[mortal iris]

https://tenor.com/view/kil-grave-david-tennant-interesting-gif-10711340

What exactly do you mean by manipulation bruh

[mortal iris]

HSD is a solid place to start

[sour lodge]

🙄

[mortal iris]

You can go with an IBL book then, like this one. No way your attention span is gonna be an issue when the book is all about letting you discover the subject through exercises rather than plain exposition.

[visual delta]

Huh. I didn't know Josh Rasmussen (philosopher of religion) knew this much quantum mechanics. He was at Notre Dame the year this book was published (2013).

[mortal iris]

Could be a different guy as well.

[trail hemlock]

still reading mattila's gmt

maybe ill pick up the pace and loh in during the summer 😂 ✌️

[visual delta]

Yeah.

[green aurora]

sciencedirect's epubs are pretty ass

[hot bison]

i just finished reading atiyah macdonald and left craving a geometric interpretation for this commutative algebra, and i was planning on just moving to hartshorne as i heard it was a great textbook, but upon reading online sources, it seems like i should really first develop a foundation in classical algebraic geometry

but from books on fulton's "algebraic curves" to kempf's "algebraic varieties" to vakil's lecture notes, i really dont know where the starting point should be, and searching online just brings up a dozen different recommendations of people's favorite books, some of them being 500+ pages long...
does anyone have any recommendations/could make this stuff a bit clearer for me to understand? i should mention that i dont really have much experience with geometry yet, for example i havent really learned what projective space is (though hopefully this isnt too much of a hurdle)

[cunning elk]

gonna do some prereading on graduate level combo as I prepare to begin grad school in the fall; currently gonna look through stanley’s enumerative combinatorics but are there other sources I should also be aware of

[visual delta]

https://link.springer.com/book/10.1007/978-3-031-88819-9 This book is free, and while I haven't read it, comparing the table of contents to the Atiyah-Macdonald book, it seems like there are a lot of similarities (modules, noetherian rings, dimensions). It also touches on classical algebraic geometry. I've heard good things about it.

[remote sparrow]

the geometry of schemes by eisenbud and harris should be nice as well

doesn't do cohomology of schemes tho

[remote sparrow]

#book-recommendations message

more books on classical algebraic geometry

[visual delta]

The book I recommended also seems to give a thorough introduction to projective spaces as well.

[green aurora]

They cannot decide whether to put images or MathML for their math symbols so they end up putting both in. The side text from a PDF is randomly inserted within a paragraph. They try to number each page like the PDF

[mellow flame]

...

[median fossil]

Gowers has a course on his youtube channel recorded in 2020

[unreal vapor]

Peak fr

[elder panther]

What’s a good book that covers both Functional analysis and Measure theory?

Context, I’m trying to get a primer for Hilbert spaces and PDE’s and I know these two subjects are important for understanding both

[ancient ridge]

For measure theory book, I found Folland's book really good and fun.

[elder panther]

Anything you know that treats them together? If not that’s okay.

[ancient ridge]

mmm Folland covers some "baby" functional analysis in Chp 5. But I can't really say anything more about FA than that cuz I'm also a beginner who just started studying FA.

[ancient ridge]

Also, L^p spaces in Chp 6.

[ancient ridge]

Here is Folland's Chp 5.

tho I found Chp 5 of Folland really hard and terse compared to other chapters

[elder panther]

Oh naur

Noted

How were the exercises

[ancient ridge]

I found them hard in general.

I haven't done a good amount of exercises for Chp 4,5,6. But for basic measure theory part (Chp 1-3), I did almost all of them. Currently reading Chapter 7 and it's very fun and readable so far.

[elder panther]

Is Folland a general analysis book?

[ancient ridge]

yeah

introductory measure theory book

[elder panther]

Ah ic

Where does it start from?

[ancient ridge]

abstract measure. He first introduces all the relevant concepts for measure spaces, and then he builds abstract measure via Caratheory's extension theorem. Then he derives the Lebesgue Stieltjes measure on R from it (end of the Chapter 1).

For Chapter 2, he builds abstract integral using those standard approximation process (by slicing the codomain), and then prove the three fundamental convergence theorems: MCT, Fatou's lemma, and DCT. After that he discuss different kinds of convergence of sequences of measurable functions. After that he proves the Fubini-Tonelli's thm, and then ends with the change of variables for Lebesgue integrals, including the polar coordinate one as the special case.

For Chp 3, he basically extends the notion of measure to signed and complex measures, and start talking about the differentiation of measures. The main theorem in this chapter is the Lebesgue-Radon-Nikodym theorem, which basically allows you to apply it to generalize some of the results u see in calculus. The most important application would be the FTC for Lebesgue integrals.

So this is a very rough summary of Folland Chp 1-3.

[ancient ridge]

I think the prereq for Folland’s book is basically something equivalent to Chapters 1-7 of baby rudin, so it doesn’t require much background at all. Just basic real analysis.

[elder panther]

So basically if you’re solid on everything upto integration itself

[ancient ridge]

yeah.

[ancient ridge]

For FA stuff in Folland (Chp 5), I was kinda lost when I was reading Chp 5 and I just picked a book that focuses on FA.

[elder panther]

Maybe I should check it out

I’ve been reviewing the basics of analysis and I’m starting to get burnt on that and want something like idk fresh? I just want to make sure my basics are at a good footing before I move on.

[ancient ridge]

I'd recommend reading some explicit construction of Lebesgue measures. I found Tao's analysis II Chp 7-8 very helpful. He explains well with good exmples and intuitions.

[elder panther]

I was reading Tao’s measure theory book at one point actually

[ancient ridge]

oh I see. I actually haven't read his measure theory book. I only read his Analysis I and II.

[elder panther]

I didn’t get all the way through

I determined I wasn’t ready for it yet but maybe it’s avoid middle ground

[ancient ridge]

I really enjoyed his Analysis I and II books. I read them cover to cover, and I just loved it.

[mortal iris]

Axler's MIRA covers a bit of Functional Analysis and is pretty easy to read imo. Most of the core topics associated to Hilbert spaces are covered well. MIRA ought to be sufficient to get started on Evans which arguably has the best exposition on PDEs.

[elder panther]

I was thinking a measure + functional book into Taylor? What do you think about their book?

I think I’ll look at Axler’s book

[ancient ridge]

u mean Taylor's vol 1,2,3?

[elder panther]

Y-yeah :,)

Is that bad

[mortal iris]

Taylor is also really cool but pretty fast paced and covers more material. It's a tough one to go through, but MIRA ought to be enough for this as well.

[elder panther]

What does it assume from you?

[mortal iris]

Same as Evans at least for the first volume which does a little classical PDE theory too, but Taylor does require some Geometry too iirc. How much of it I'm not sure really. I haven't really seen the third volume which is the one that is most geometrical. Volume 2 requires some Riemannian Geometry but mostly in the latter half.

[elder panther]

I think I have my combo then

[quartz pawn]

Hey guys. I want to learn about differential geometry. I was thinking of picking up John Lee's Smooth Manifolds. But I know that he has a book that's supposed to be a "prequel" called Topological Manifolds. Do you think I should read all of Topological manifolds before getting into Smooth Manifolds?

Is Intro to Smooth Manifolds readable without going through all of Intro to Topological Manifolds is a better question

[molten gulch]

First 6-8ish chapters of itm or equivalent from like munkres or another topo book is fine AFAIK

[quartz pawn]

Thank you

Perfect and direct answer

I really just wanted toread the minimum amount possible so that I could get into Smooth Manifolds and diff geo in general

And I took a peak at his Intro to Topological Manifolds book and started looking at Intro to Smooth Manifolds and was thinking "surely there's no need to read all of the material in the first book". I'm obviously not knowledgable about either but you can sometimes get a feel for what might be necessary and what might not by skimming through the books

[signal zenith]

You can actually do it without if you know like metric space topology. Just read the appendix of itsm.

[verbal hedge]

Greetings math people, What would be a great recommendation for a book about cryptography? Im thinking about an easy to digest introduction as I am prone to confusion when it comes to prime numbers like my brain wont understand.

Idk lots of math makes my mind explode

But i am interested

[molten gulch]

I used katz and lindell in my crypto class

[verbal hedge]

Im curious, how should I approach this book

[molten gulch]

How you approach any other mathemtics book, start at the beginning, take some notes, try to exercises

[verbal hedge]

Like what are the concepts that would ease the understamding

[sick current]

What are your goals? and what math and programming background do you already have?
Most cryptography books will assume at least some introductory programming and math background, so if you lack them it will be hard to, but the most basic introduction I know of is https://www.crypto101.io/

[molten gulch]

A good understanding of probability and statistics is very helpful, some basic "discrete mathematics" and group theory is very helpful for most of part 2 and 3 of the book, and you should have some experience with proofwriting

[verbal hedge]

I have a bg in programming and concepts attached to it so my problem is in the math part which im not that used too although i understand some parts such as the crt

But like thats the math stuff ik on crypto like i just learn the middle of the pizza and take the toppings that are easy to pick type of thing

[rich verge]

hello guys, i hope im not interrupting conversation but does anyone have some good book recommendations for learning additional pure in futher math A levels? it includes chapters like
Vectors, Conic Sections, inequalities, t-formulae, taylor series, methods in calc, num. methods, reducible differential equations, number theory, groups, complex numbers, reccurrence relations, matrix algebra, integration techniques, etc. Any recommendations would be appreciated, thank you for your time!

[normal crystal]

Codebreaking
Serious Cryptography

but if you want to learn the real meat of cryptography, eventually you have to do the math

[verbal hedge]

Fair gotta take the time to chew it ig

Thanks for the recommendations btw the katz and lindel one is actually intriguing

[normal crystal]

there is this free too
https://joyofcryptography.com

[sick current]

For a math heavy book there's this one
https://link.springer.com/book/10.1007/978-1-4939-1711-2
but it's probably more worth it to go with IMC(the one Ryan mentioned) and then look up the math your missing separately

https://www.cs.umd.edu/~jkatz/imc.html

[verbal hedge]

Wow okay thats like a lot of books

Thanks gonna take me like 3 month to read through

[normal crystal]

one more
I thought it was open but I guess not
does have full videos and a solutions manual though
https://www.cryptography-textbook.com

[grim ore]

lmk if you have any questions about cryptography haha this is my area too

If you want to tackle something from a more mathematical approach, these are fine, but the theoretical cs space are different too

I would also recommend Silverman (math oriented cryptologist)

[sick hamlet]

Question. I used Stein/Shakarchi for measure theory (ch. 1-2, non-insane coverage of ch. 3, and special topics in Radon-Nikodym, abstract measure, Hausdorff dim), and Kreyszig for functional analysis (ch. 1-3 heavily, ch. 4 special topics)

I assume I would benefit from a read through Folland for Haar measures, a fuller treatment of abstract measure, more attention to Caratheodory (we generally avoided using Caratheodory in proofs in HW), etc.?

[grim ore]

likely longer tbh tho lol

[sick hamlet]

Or is Stein/Shakarchi measure theory & Kreyszig functional analysis sufficient

[verbal hedge]

3 months to open the first book 💀

[sick hamlet]

Oh hey! I used this in my number-theoretic cryptography class!

[grim ore]

Nice, yeah silverman himself is an arithmetic geometer and the book was a pretty good read over a summer or sem

Its given that you have good comfortability though in a lot of these topics such as topology, complex, ag, and nt

[verbal hedge]

Mb i skipped over this, i will definetly ask you stuff lol

[grim ore]

nws!

AoEC I would also recommend esp since this is kinda where cryptography space is rn irl

[remote sparrow]

exactly what are you going to apply your measure theory knowledge to

i think there are some people that don't need more than the lebesgue integral, such as math econ programs

[remote sparrow]

@remote vortex

fyi stein/shakarchi is one of those concrete to abstract measure theory books

[remote vortex]

I mean, I'm never going to recommend against a read of Folland

[scenic sequoia]

How's shoenfield Mathmeatical loigc ? Anybody here like it ?

[elder panther]

As someone whose looked at both I think there is value to it, but like you don’t need to read all of topological manifolds if you’re comfortable with a lot of a ideas from point set topology. However, there are a lot of useful ideas from algebraic topology such as the universal cover of a topological space that might come in handy later on when he talks about orientability.

But like

If you just want to review some point set and get some glimpses into ideas from algebraic topology reading topological manifolds is not a loss at all

[ancient ridge]

I actually haven't learned about Haar measure yet lol. That is something that I'm planning to study after reading Chp 7 of Folland on Radon measures.

As for Carathéeodory stuff, I haven’t really seen it used except in Chapter 1 on abstract measure and when proving the Riesz representation thm for Radon measures (not the one u see for Hilbert spaces in LA).

[ancient ridge]

And I definitely don't think I know enough FA to answer that question. I'm an absolute beginner in functional analysis 🤣

[sick hamlet]

Probability theory, stochastic calculus, SDEs, stochastic control, Kalman filtering, high-dimensional statistics, financial derivatives and portfolio theory, interest rate models, etc.

Not all of that uses measure theory, but I know e.g. risk-neutral measure with Radon-Nikodym comes up fairly frequently

Am first-year applied math grad student. My grad bio in the channel is fairly recent

[remote sparrow]

@foggy quest what's the measure theory he needs to know for the applications he listed

[normal crystal]

Michael Taylor
the answer is Michael Taylor
THE ANSWER IS ALWAYS MICHAEL TAYLOR

[quartz pawn]

I have a physical copy. I'm going through it very good

[sick hamlet]

Mr. Dr. PDEncylopedia?

[remote sparrow]

@mortal iris for context that guy recommends michael taylor for almost anything analysis-related

except folland

[sly nebula]

MILNE THE GOAT

[twilit chasm]

any good books for calculus qs? (for a 17 year old btw)

[odd cargo]

qs?

[remote vortex]

I prefer A.A. Milne 🐻

[twilit chasm]

yeah

??

yeah

wanted a book with good level qs

[hybrid sigil]

He keeps insisting on his terminology! Qs means qs

[mortal iris]

And as a result I recommend...

[mortal iris]

Spivak has great Qs

[hybrid sigil]

You meant S?

Spivak is too long

[mortal iris]

Iirc you Indian right? Go with Maron if that's the case.

[twilit chasm]

yeah

ight

[twilit chasm]

the 1 by I.A Maron right

just confirming

[mortal iris]

Yes. If you also want a great book to cover the theory, look at Piskunov. It also has solid problems.

[twilit chasm]

rather than theory i wanted focus on qs

so which 1 of those 2 would be better?

[mortal iris]

How will you solve problems without knowing the theory?

[twilit chasm]

learned theory in offline class

[mortal iris]

If you think you know the theory then the best choice is Spivak. To re-learn the theory properly and also for some seriously challenging problems.

If you want vanilla problem solving then go with Maron. It's pretty great for its purpose.

[twilit chasm]

the book my michael spviak?

[mortal iris]

That's the one. Alternatively Apostol. Do not buy the new Indian adaptation if you are buying. It's bad. Get the old one.

[twilit chasm]

okay tysmm

[twilit chasm]

really appreciate your help btw

[mortal iris]

I should warn you. Books like Spivak or Apostol will only help you truly learn the subject and solve problems if you enjoy math and do it because you like it. And it will feel frustrating and at times confusing at the start as to why you may be doing things that are "obvious". If you want the more (brain-dead imho) repetitive calculations approach then go with Maron.

[twilit chasm]

honestly id like to give it a shot to both improve and also because i do feel like im liking this topic aswell and wanted some extra things to solve

solving exam pyqs got boring ngl because the qs seemed repetitive so i wanted to try something new

[mortal iris]

Then ggs. Spivak will serve you well. But like I said, you'll feel like you're trying to do very obvious stuff at the very start, so pay attention to the theory before jumping to the exercises. There are good reasons to do what is being done.

[twilit chasm]

oh so theres a difficulty spike in between?

or a gradual increase?

[drifting hamlet]

Can someone suggest me books on basic geometry, probability, statistics
If there's any book series where they have beginners book on each?

[mortal iris]

It's just a very different approach to things, but the book itself is considered fairly difficult because of that approach being relatively unfamiliar to newcomers. But since you've seen Calculus before, it should be less difficult to adapt, but possibly more difficult to make sense of. Whenever it is the latter, take the time to discuss it in #math-discussion perhaps.

[mortal iris]

Do you know Calculus?

[twilit chasm]

yeah i saw, im reading thru its pdf rn

[wary nacelle]

What's a good book on olympiad number theory?

Geometry has Evan Chen's EGMO, what comprehensive book does number theory have

[drifting hamlet]

Yes

[mortal iris]

Then you can go with Pamfilos's Lectures on Euclidean Geometry and Blitzstein's Introduction to Probability.

[mortal iris]

An alternative reading for the theory would be Pete Clark's Honors Calculus notes. The presentation is an improvement on Spivak. For problems, you can solve the in-text exercises and Spivak on top.

[molten gulch]

<@&268886789983436800>

[twilit chasm]

i see, ill check it out

[limber sinew]

Gng this cordinate geometry this shit is sucking my soul please help

[arctic yew]

!help

[hybrid sparrow]

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

[mortal iris]

Do you know the coordinates to your soul?

[cyan root]

David M Burton

[limber sinew]

dont joke bruh I have exam in a week

[cyan root]

Elementary NT

[mortal iris]

Not really meant for Olympiads but a great book.

[limber sinew]

can anyone suggest a better book for where there is precise examples for cordinate geometry

[mortal iris]

Well then I sure hope you know the coordinates to your exams.

[limber sinew]

Not sure about that , but I am damn sure the cordinates of fail

[mortal iris]

I doubt you understand what mathematicians regard as precise so I'm sure that's not what you're looking for. A good book to solve stuff from would be Loney's. If you're looking for something harder and actually a little more precise then go with Pogorelov's.

[limber sinew]

Oh tnx bruh

[molten gulch]

Do not assume everyone knows what TST is, so can you please expand the acroonym?

[wicked fractal]

Marcus' number fields chapter 1 has a lot of exercises that look like they're from olympiads

[median fossil]

nDeltoid is trolling... This is a university textbook (which assumes some knowledge of abstract algebra and Galois theory)

[wicked fractal]

[median fossil]

"exercises that look like they're from olympiads", sneaky deltoid

[spare lotus]

Anyone read “Hidden Pictures” by Jason Rekulak

Or Xeelee Sequence by Stephen Baxter?

[sand fern]

I've read well, the first Xeelee book

haven't read the others yet

[spare lotus]

Raft right?

You should try vacuum diagrams book

[sand fern]

Yeah, Raft was great im ngl, loved it

I think I then bought timelike infinity but didnt read it yet

my to read list of irl books is getting too thick

[desert oriole]

evan chen his excerpts

i think yufei zhao also had some handouts on his website

and the swiss math olympiad page has great handouts

[spare lotus]

Vacuum Diagrams book is essentially a summary of the entire series

[normal crystal]

he wants those Olympiad algebra questions at the level of DJ Tiesto

[thorn trellis]

"olympiad algebra" is a really broad term and not really well defined imo...that said you are better off with handouts for the major topics that you are likely thinking of

for functional equations, there was some good handout by some (korean/chinese) dude, name starts with a p, you'll probably find it on aops, and another by amir hossein parvadi, for inequalities mildorf's good, and theres also this book "inequalities: a mathematical olympiad approach". for polynomials, yufei zhao and rohan goyal have some good handouts. idk if its upto your "tst level" expectation, you'll have to see for yourself. but anyways, theres not much theory you need to read up on, so you can get an idea of the basic theory you are expected to know from these sources, and then just try working through shortlisted problems and past tst papers.

alternatively, join otis and work through the algebra handouts

[arctic yew]

Erm what is inside your pronouns section

Im afraid thats inappropriate

Please change it or else id have to ping mods

[thorn trellis]

uhh i am not sure this is the right place to talk about this, but if mods have a problem i'll change it i guess? lame, man

also I don't see anything against a potentially offensive (to me i guess?) pronoun in the rules. what a lame thing to be talking about but here i am

[zealous coyote]

DM modmail once you've changed your pronouns, please

[echo thorn]

the alchemist

21 lessons for the 21st century

god (reza aslan)

sapiens

justice (michael j sandel)

the call of the wild (jack london)

any series from isaac asimov

[green aurora]

Every time I see Asimov I wonder what he had against women

[vital bane]

That's a nice book

[remote sparrow]

<@&268886789983436800>

[remote vortex]

I mean, wasn't Asimov famously a creep IRL?

[green aurora]

I dont know?

[vital bane]

Maybe he was infamously a creep

[green aurora]

All Isaacs I know irl are great ppl

[normal crystal]

how many Isaac's are we talking about
are you collecting them
what
is
your
plan

[green aurora]

[trail void]

u gotta upgrade ur books bruh

hes a nice writer but he has this habit of making a conclusion from a grey area still under research

[mortal iris]

He writes convincingly but he's not a nice writer if you mean it in any other way. Not only that, he's not concluding things from any grey areas. He tells you blatant lies in a completely Eurocentric manner no less.

[mellow topaz]

the writer of alice in wonderland was more than just a creep

and he invented some methods in linear algebra

[slow roost]

speculation

[remote vortex]

I'm sure his habit of photographing underage girls in the nude was entirely innocent

[dapper root]

#art

[wicked fractal]

Jesus

[slow roost]

“Some of his portraits—even those in which the model is clothed—might shock 2010 sensibilities, but by Victorian standards they were… well, rather conventional. Photographs of nude children sometimes appeared on postcards or birthday cards, and nude portraits—skillfully done—were praised as art studies […]. Victorians saw childhood as a state of grace; even nude photographs of children were considered pictures of innocence itself.”

“The evidence for Carroll’s possible pedophilia is highly suggestive but hardly conclusive. Burgett summarizes the claims as only speculative at best: “The entire controversy is an almost century-long debate, and one that doesn’t seem to be making any major progress in either direction.””

hence, speculation

[odd cargo]

this changes the entire story for me wtf

[devout rapids]

goat book

[rotund parrot]

need book or source or yt anything for calculus badic to advance

<@&286206848099549185>

[kindred cosmos]

Try the Essence of calculus by 3blue1brown

[vague snow]

https://mathematics.gg/books/calculus is in the description of this channel

You can check the calculus section

[trail void]

piskunov, aops, Paul's Notes

[heady valley]

3B1B

essence of calculus series

[heady valley]

peak 🗣️

fell in love w math cuz of 3b1b

[inland orchid]

I need good books for my 5th grade brother!!! Any help? <@&286206848099549185>

[mortal iris]

Good books on/for what exactly?

[scenic fulcrum]

IPM books (idk if they're sold outside of India)

[inland orchid]

Math he has a c in math he just want helps.

[mortal iris]

5th grade is different in different parts of the world usually. What is he expected to know where you're at?

[heady valley]

where ya from?

nd u want STEM books or any specific?

[inland orchid]

Division,angles, order of operations work with variables, and explore geometry,

[inland orchid]

DC

[inland orchid]

Stem works too!

[mortal iris]

These books may be nice to help develop interest and some of the gamified activities here can be valuable for practice. Best to guide the student initially based on what they need for the latter and then let them go on a free exploration.

Among more traditional options you can check out Algebra for Beginners (Hall and Knight) and A School Geometry (Hall and Stevens) and let the student grind them out every now and then to see whether the recreational approach is registering positively.

[mortal iris]

They're bad enough that the Maths Circles India chapters seem to want nothing to do with them lol despite IPM being much much older. One of the nicer initiatives swallowed up by the needless hunger for competition and bragging rights like nearly everything else in our country.

[odd cargo]

why not just teach him yourself

or have someone do it

[mortal iris]

Teaching kids of that age is quite the challenge for someone not trained in it. Especially in mathematics I'd say.

I've seen really accomplished mathematicians fumble with 8th graders lol. Not because they don't know the material, but making it presentable for that age group effectively isn't within their skill set.

[odd cargo]

its not like you're taking it upon yourself to teach them algebra

arithmetics suffices

[mortal iris]

Regardless of what suffices. Questions, if any, from that age group tends to be deeply intuitive and demands the sort of response that can help cultivate that intuition. If you stick to procedures and say this is the way with no rhyme or reason then it's gonna stunt their development and interest in the subject.

[odd cargo]

hard to present arithmetics with no rhyme or reason since concrete examples of it exist in their every day life

[mortal iris]

And there are some kids who even with people they know wouldn't even ask anything. The job to make them care and ask is even worse. When schools already don't get it right more often than not, it's not correct to expect a random person to be able to.

[mortal iris]

Aye but good examples are hard to bring to light for your average Joe.

Plus there are many "methods" taught that you can use examples to motivate maybe but very difficult to justify to students at times.

[odd cargo]

you just need to have them interested enough

[mortal iris]

I had a 9th grader once ask me why we can drop a perpendicular seemingly out of nowhere to do a certain geometry proof simply because it wasn't given in the problem.

[odd cargo]

i dont think theres any right way to do it though

[mortal iris]

One of the most head scratching things for me.

And I can go back and justify everything. No issues whatsoever. But that's not the answer a weaker student is looking for.

[mortal iris]

You might end up driving them away if you don't know what you're doing.

[odd cargo]

the schools eventually going to do that to them anyways so you might as well try.

[mortal iris]

I hated math in early middle school because of how my primary school education was. By the time we had gotten to algebra, I couldn't even multiply or divide two numbers properly by hand and it was expected of me.

[mortal iris]

May be, but no harm in taking assistance from nice resources that can help guide you in how to do that well then?

[mortal iris]

Weirdly grinding through Hall and Knight was what made me like it again.

[odd cargo]

im not an anti-resources type of guy, surprisingly.

[mortal iris]

Well this suggested otherwise, but ggs.

[odd cargo]

im only saying that because the kids probably like 8 or 9

im assuming it would be hard to convince him to sit through a book, especially if hes got ipad brain

[mortal iris]

Yeah and ik the difference a few nice puzzle solving books and exercises can do at that age. Even more so when related to the curriculum itself. Also like cleverly made workbooks that are interesting and relatable while teaching them stuff.

[mortal iris]

Yeah. That's a different kind of challenge. Positive and negative reinforcement it is then lol.

Although back in my day we used to get stuff thrown at us violently to get our heads out of playing cricket or football in the streets

[odd cargo]

i was about to say, when i was a kid, i would much rather be riding my bike than sitting at home flipping pages

and even if i were at home, i would much rather watch tv

my dad really tried to get me into maths when i was a kid but honestly failed miserably

put me in multiple math academy places

never really had the time to teach me himself

i probably wouldve learned to like it if he did find the time

[mortal iris]

TV was better when I was a kid than now tho. We had gems like Ben 10 airing regularly. So many good anime as well, like Naruto and Dragonball Z and the Beyblade Metal Series and also Pokémon.

[odd cargo]

ben 10 was fucking goated

[mortal iris]

Rarely works unless you're already interested somewhat.

[odd cargo]

i used to make amv's and post them on youtube lmao

[odd cargo]

its a real shame

it was really just a miserable place

they used to give us so much "homework"

i lost interest the first few weeks and just stopped doing them all together

[half blaze]

Umm... Can anyone suggest a good Calculus 1 book where I can practice questions directly? It should have examples too!

[odd cargo]

pauls online notes are freely available

[mortal iris]

Wdym by practice questions directly? Which books don't allow for that lol?

[ancient ridge]

If u just want some computation problems, then Stewart's book and Thomas' books have a ton of them.

with solutions for odd numbered exercises.

[half blaze]

Oh
thanks for the suggestion

[foggy quest]

https://sites.math.duke.edu/~rtd/PTE/pte.html should be enough.

[ancient ridge]

Dragonball Z and Beyblade Metal Series <-- I loved them so much, damn.

[sleek hinge]

Uh I tried accessing the link for Dummit & Foote in the book recommendations but it said 404 error, is there an alternative link?

[mortal iris]

It's not an open access book. You either buy it or you get it by some other means.

[ancient ridge]

u can easily find the pdf online

[sleek hinge]

Ah ok

[winged coral]

Guys can someone recommend me a book for combinatorics?

[molten gulch]

bona's walk through combinatorics

[winged coral]

Ty

[sick hamlet]

Fair enough

[mellow topaz]

ive been using introductory combinatorics by brualdi

[mortal iris]

https://tenor.com/view/hxh-thumbs-gon-gif-25443754

[winged coral]

Thx

[spare lotus]

Y’all ever tried pirating a textbook online instead of buying the hard copy?

[mortal iris]

No, of course not. We love buying expensive books. We need to be rich and spend that money well in order to study well.

[arctic yew]

What if that textbook was free?

[spare lotus]

Like already provided by the school? Nah

[arctic yew]

No like the kind you could find in some university's online book collection

[spare lotus]

Then I would go there instead of looking for other free alternatives

[mortal ore]

Note that we cant talk about pirating here because of discord tos

[spare lotus]

Oh my bad

[arctic yew]

[mortal ore]

If you need book recommendations feel free to dm someone like me and I will "teach you why pirating is bad"

[cloud tapir]

guys what is a book?

[arctic yew]

The thing you read

[mortal ore]

Idk i couldnt find a definition on nlab

[cloud tapir]

ohhhhh

so

it's like harry potter fanfics

ok

[velvet flax]

a document with an isbn

actually no

its whatever serre says it is

[cloud tapir]

such smarternesnnenes

you're so goated

[dry rune]

free online lectures for logics and proofs?

[craggy sandal]

I imagine you've already seen taht 12 hour video on youtube?

[craggy sandal]

Also, what level are you reaching for?

[dry rune]

nope

[dry rune]

im aiming for category theory but before i go there i need to be well-versed in abstract algebra

[craggy sandal]

Then you're looking for logic in regards to mathematical proofs, ok

[craggy sandal]

https://www.youtube.com/watch?v=3czgfHULZCs this one, (i thought it was longer)

ofc you also have https://www.youtube.com/watch?v=sbpCTjmw85g

Also you have this wonderful wonderful website https://web.stanford.edu/class/archive/cs/cs103/cs103.1266/guide_to_proofs

And finally i recommend giving THE book of proof a read https://richardhammack.github.io/BookOfProof/Main.pdf
and ofc Proofs of THE BOOK
https://en.wikipedia.org/wiki/Proofs_from_THE_BOOK

[dry rune]

i don't think this is necessarily abstract algebra but im not complaining because this also perfectly satisfies my other objective which is logics and proofs

THANK YOU SO MUCH 🤎

oh wait

i forgot the question was about logic and proofs omfg 😭

yeah, disregard that comment about AA

i have plummeting dementia 😭😭😭🥀🥀

[craggy sandal]

No no, you good, proofs are the basis for A. Algebra, after you're done with this i suggest first going into Linear algebra as most Abstract algebra courses take their examples from Lin Alg

Wow, you should chack it@dry rune it'll get you faster where you want to go

[ruby cliff]

I recommend a book by Jessica Carter: Introducing the Philosophy of Mathematical Practice
It might be nice to have a philosophy of mathematics designed for mathematicians rather than logicians and metaphysicians

[obsidian siren]

Hey guys, what books would y'all recommend for these fields: calculus, trigonometry and geometry, number theory

or pdfs if you guys have them

[amber root]

Hi

[limpid siren]

Wsg

[split portal]

Maybe openstax?

[shell depot]

Could anyone perhaps recommend a book or series of books that will help me master calculus, or at least the very fundamentals of it?

[odd cargo]

grothendieck gets it man

he really does

[odd cargo]

how fundamental

if you have a background in proofs then try spivaks calculus

or courant

[shell depot]

These seem good, thanks

What would you recommend for linear algebra?

[odd cargo]

Theres a lot of books on linear algebra

really depends on what you want from linear algebra

would recommend axler's book

[shell depot]

Mainly trying to learn for engineering and physics

[odd cargo]

FIS then

[shell depot]

FIS?

[odd cargo]

Elementary Linear Algebra, FIS

[shell depot]

Oh, I see

yes this seems good

thank you

[obsidian siren]

Oh okay thank you!

[pine tundra]

<@&268886789983436800>

[warm quarry]

is this good

idk what i wanna learn i just wanna learn SMTH during my summer vacation so I'm not wasting my time

i just wanna know if it's good at teaching whatever it wants to teach

[molten gulch]

Read enderton, I've never heard of this book

[warm quarry]

I'm not trying to learn this topic in particular. i just came across a copy of this and wanna know if it's good

[warm quarry]

.

[molten gulch]

How much linear algebra do you know

[warm quarry]

um

I'm in high school haven't gotten into that yet

halfway through high school

I'm done with Cambridge 4037

this is a very basic summary

[hollow peak]

anyone have recommendations for good low-level cookbook undergrad diff eq/lin alg?

[arctic yew]

Cookbook?

I cook using feelings

[native cradle]

LADR for lin alg

[molten gulch]

this is not helpful

[native cradle]

unless I'm misunderstanding you

[molten gulch]

Lay Lay Macdonald and Boyce DiPrima I guess?

[native cradle]

if you want a computational book, nicholson

[hollow peak]

Boyce DiPrima looks pretty good for what I want

I guess I'll add preferably open source

[normal crystal]

https://www.jirka.org/diffyqs/
there are forks at different schools

[ember lark]

NOT lay mcdonald

[molten gulch]

it sucks but it's cookbook

[ember lark]

that book is so

[molten gulch]

which is what he wants

[ember lark]

wdym by cookbook

there are better slop linalg books

[molten gulch]

reduce 4 morbillion matrices, etc..

[ember lark]

https://www.mathstat.dal.ca/~selinger/linear-algebra/downloads/LinearAlgebra.pdf this is THE best slop linalg book

[hybrid pewter]

hi !
please suggest me a book.
One that i MUST read.
what i am looking for is.....
well the most important,
expression without thought.
what i mean by that is

https://youtu.be/pqZqfTOxFhY?si=4fAdr8ppBGn2-XLo

i am not sure how to describe it

i mean i know that obviously you cannot express anything without thinking

what i mean is

[hybrid pewter]

the words i hear in this video
and what i percieve it to be...

he is not answering the question here

[craggy swift]

Pj sir black book and cengage are fire🔥🔥🔥🔥

[molten gulch]

Also cengage is a textbook company

[molten gulch]

I'm very confused by this question, there is no one book that everyone should have to read

[feral aspen]

hey guys, what book would you suggest me if i wanted to study math from scratch

[molten gulch]

What maths do you already know?

[feral aspen]

thr ordinary high school math

basic derivatives, basic trigonometry, etc...

[molten gulch]

Ahh okay

What do you want to learn from here on out?

Like what's your goal in learning maths

[feral aspen]

if i could, i would want all of it,

probably starting from set theory

[molten gulch]

Foundations first is not a good idea

[molten gulch]

There's too much maths to learn, but you will learn a lot of maths going through an undergraduate mathematics cirricula

[feral aspen]

i have time

too much of it

and im a programmer

if that could help

[molten gulch]

Either way to start off learn some real analysis, linear algebra abstract algebra, and topology

Personally for those the texts I've commonly seen recommended are:

• Mathematical Analysis I and II by Vladimir I. Zorich, Analysis I-III by H. Amann and J. Escher, Understanding Analysis by S. Abbott, amonsgt others
• For Linear Algebra I quite like Linear Algebra by Friedberg, Insel, and Spence, I know a few here like Linear Algebra Done Right by S. Axler, freely available at https://linear.axler.net, and there's also Linear Algebra by Meckes and Meckes
• For Abstract Algebra I quite like Algebra by M. Artin, there's many other books in the pinned messages of this channel
• For topology there's Topology by Willard, Topology by Dugundji, Topology by Munkres, Introduction to Topological Manifolds by Lee, etc...

Either way, look at the pinned messages in this channel for more (and actual in-depth) reviews of each

[feral aspen]

ok thanks i appreciate your contribution

[molten gulch]

Usually you want to start with real analysis and either linear or abstract algebra

[feral aspen]

linear algebra is one of the most things i wanted to learn for how useful it is

[molten gulch]

You should know how to manipulate matrices and compute the row reduced echelon form, this is not covered in much depth in Axler

[wicked fractal]

pretty much what TCC said. Once you know enough analysis/algebra/topology you can do more specialized stuff. Idk you said you're into programming so maybe you can look at elliptic curves

[feral aspen]

yeah i've worked with matrices, before

[molten gulch]

Also lots of fun stuff in theory of computation you can do

type theory, complexity, computability adjacent stuff if logic is more your style

[feral aspen]

theres this thing called vector embedding, i did that in june 2025 if i recall

its not a math thing

[molten gulch]

it's an ML thing, but it requires maths

[young grove]

good books on fourier analysis

[feral aspen]

as long with the inclusive ml requiring linear algebra

[molten gulch]

stein and shakarchi have an introductory book on it, there's also the books by grafakos, I'd bet there's more but I don't know of them

[young grove]

yea man but those are costly, damn

[remote sparrow]

logic for philosophers book

[silk latch]

Hello

Is there a physics intro book that is focused on the math

Smth like Morin but a bit easier

[remote sparrow]

https://davidmorin.physics.fas.harvard.edu/books/problems-mechanics

morin has an easier book

[silk latch]

Damn dude

Thank you a lot

It got kinematics

I liked his writing style a lot

The book was just too dense

I really appreciate it

[warm quarry]

is Openstax philosophy good for self-study for someone who has had ZERO formal philosophical education

[mortal iris]

You are probably better off using the Stanford Encyclopedia of Philosophy.

[rigid barn]

How does Jacobson's "Lie Algebras" compare to other, more modern texts?

[scenic sequoia]

Kleppner is good

[young grove]

Specific books on integrals. Although I learned it several times, I am bad at it

Integrals with tons of problems

Gonna make my life miserable with em

[sick hamlet]

>enough analysis/algebra/topology
Well I mean yeah, those are the three fields of pure math, more or less

[short osprey]

The Grand Design by Stephen Hawking

[civic glacier]

yo wait we got book recs? awesome

the inheritence games are good

Wof is mid ngl

same with PJO

I love HP

[short osprey]

Human Projectiles?

Its a good short story ig

[civic glacier]

hmm never heard of it thou I'm willing to try

Maze runner was also good

if ur younf like 9ish I suggest Grimm sister

so you like chess?

[short osprey]

"Thou?"

[civic glacier]

though

[short osprey]

I see

[civic glacier]

im guessing you either dont go online much or your high school-collage kind of old though I know a high schooler who uses shorten words

[molten gulch]

Shortened words are not a problem, but "thou" as a word has a completely different meaning too

[short osprey]

I'm a highschooler but i prefer reading books than going online

"Thou" is the subject "you"

[civic glacier]

same but I'm younger

[short osprey]

I see

[civic glacier]

really?

[molten gulch]

https://en.wiktionary.org/wiki/thou

[short osprey]

Thou: subject
Thy: "your"
Thee: object

[civic glacier]

oh I guess i knew that but never thought it'd be written as thou

[short osprey]

Well the more you learn

[civic glacier]

I've seen Thee and Thy never thou

[civic glacier]

the better

[short osprey]

Its pretty uncommon english

[civic glacier]

eh I suppose

[molten gulch]

It's not that uncommon

[civic glacier]

Not common for modern writting

[short osprey]

By uncommon I mean by you wont see it used by everyday pupil or people.

[short osprey]

Exactly

[civic glacier]

yep, english evoles

[short osprey]

Devoles, it was better back then imo

[civic glacier]

I feel like crashing out whenever I write something and I spell it wrong

[short osprey]

I can't spell most english names like gabriel

[molten gulch]

It is not de-evolution

[short osprey]

De-evolves mb i didnt notice it

[civic glacier]

hmmm, I think people didnt like remebering many versions of the same word

[short osprey]

I like writing different words in different ways which of my teachers dispise.

[civic glacier]

like handwriting or like you know thy thou thee

once I got a hand crap writing and half of my work was cursive and some of it was normal letters

[molten gulch]

There are a set of proper spellings for each word, use them

[short osprey]

I mastered writing in a latekx font

[civic glacier]

ok

[short osprey]

Thats what i do

[civic glacier]

well a teacher is suppose to encouge so not really your problem

[short osprey]

Almost Heaven by judith mcknaight

[short osprey]

True

[civic glacier]

song? book?

[short osprey]

Book

Novel specifically

[civic glacier]

sounds like I'd enjoy it,

any of yall do chess?

[mellow rivet]

Better suited for other channels, like #chess-go-shogi or #chill as this channel has a topic

[civic glacier]

wait do these channel just open up once I click them cause that was def no thee

thanks btw

[mellow rivet]

#chess-go-shogi has an opt in role iirc, and #chill is revealed with some socialize option in the roles thing at the top iirc that people go through when they first join, chill shouldn't have role requirements though for sure

Np!

[civic glacier]

you got very active twice must be very helpful then 🙂

[mellow rivet]

helpful role is a whole nother beast

[civic glacier]

um ok

noted

[civic glacier]

Whats yall favorite book

[whole karma]

Stewart calculus

[civic glacier]

a text book?

[whole karma]

Yes, it teaches all of calculus and contains tons of problems

[civic glacier]

.................maybe im a bit young to like that stuff

[civic glacier]

https://www.youtube.com/shorts/Rk7yCkSE0OA

I think this is why people dont say thy

sounds werid and sounds like mt

my

[whole sky]

https://www.amazon.com/How-Not-Be-Wrong-Mathematical/dp/0143127535

[civic glacier]

ok

[wicked fractal]

ok

[remote sparrow]

ok

[civic glacier]

ok

[arctic yew]

ok

[cunning elk]

ok

[mellow rivet]

ok

[molten gulch]

ok

[halcyon knot]

ok

[trail void]

ok

[civic glacier]

ok?

[arctic yew]

Yea

[remote sparrow]

https://tenor.com/view/vegeta-tfs-dbz-abridged-you-ruined-it-im-leaving-gif-15630714

[civic glacier]

no

[worthy kindle]

@mystic orbit are you going to allow this off topic chatting in the channel? bah boy

[civic glacier]

who DarQ

eh its very book related

[trail void]

@civic glacier mate no offense but youre constantly misusing this channel for your talks

[trail void]

just pick up a intro philosophy book or and use standard encl

And then go read Plato

[normal crystal]

there are a few philosophy courses on MITx that are good
you can still access all the material even if there's no active session

[mellow rivet]

Can one also use this channel to ask if certain books are decent

[normal crystal]

an opinion is a form of recommendation

[mellow rivet]

Oh good, then in that case

Which of these three abs alg books are "better" to start with as a beginner? (Better being subjective here, your opinion)

"Abstract Algebra, An Introductory Course" by Gregory T. Lee
"Abstract Algebra" by Ronald Solomon
"Abstract Algebra" by Deborah C. Arangno

[ember lark]

i have never heard of these books ever

[mellow rivet]

Even better, what types of things should one look for in the contents of an abs alg book

[mellow rivet]

The person who borrowed them for me decided "newer books" were better or something...

I have never once heard of these three either before well having them

[normal crystal]

Car, is this another round of
"Available at the Library"

[brittle marsh]

I know of new-er books which are not these ones 😭

[mellow rivet]

At least I don't need to deal with the notation herstein uses

[brittle marsh]

these some to be non-standard references afaik

[mellow rivet]

No I literally have these right now (well yes someone got them from the library for me, despite the good ones also being at said library...)

I feel like it's easier to just know what to look for in an abs alg book...

[brittle marsh]

what kind of course is this for

[mellow rivet]

None, but i need to learn abs alg sooner rather than later

[brittle marsh]

like just looking at the first one since I have access through my university it doesn't seem to do any fields at all

[mellow rivet]

Oh I wouldn't worry the most about whether they have fields or not since I'm just starting and by the time I get groups and rings down, I should be able to ask them to get me one of the actual recommended abs alg books

[brittle marsh]

I can't find either of the other two online so I can't comment 😔

[mellow rivet]

Only the first one is a springer book so it makes sense

[ember lark]

groups, subgroups, cyclic groups, permutation groups, homomorphisms, isomorphism theorems, quotient groups, rings, ideals, polynomial rings, fields, vector spaces, modules, rings of integers mod n, factorization and irreducibility, some Galois theory (optional ig)

[brittle marsh]

ah it actually does have fields justt now as much as I expected

[ember lark]

lemme make it shorter

[brittle marsh]

but it doesn't seem to have modules for some reason just glancing at the table of contents

[mellow rivet]

Are quotient groups sometimes called factor groups or....

[ember lark]

think so

[brittle marsh]

yeah in this textbook they call it that for some reason

[mellow rivet]

Hmmmm i can't tell if it has perm groups by the contents table...

[brittle marsh]

it does

3.1 is permutation group

[mellow rivet]

Okay this one seems to have everything up to modules

So for a beginner book it doesn't seem to be the worst

Plus it's springer so I feel more inclined to try it first

[brittle marsh]

yeah I think it suffices, though I'd definitely suggest checking out something like dummit and foote or aluffi chapter 0 later on

[mellow rivet]

One of the other ones has galois theory in its table of contents

[brittle marsh]

since they're more complete/standard references

[mellow rivet]

Oh yeah, this is just to get some basics right now

[native cradle]

just want to say

while A&M is fun

IT is SOMETHING to get through

[warm quarry]

i want something i can read cover to cover and learn a bit about some popular branches of philosophy, so that i can figure out which one i wanna learn more about

the Stanford Encyclopedia of Philosophy is more of a reference

[warm quarry]

the openstax book is literally called intro to philosophy

[warm quarry]

oka thanks

[trail void]

yeah but u dont need that big of one

[warm quarry]

how long is the average intro to philosophy book

this one is under 400 pages

[trail void]

then u can use it

[craggy sandal]

@dry rune https://x.com/patternatlas/status/1311727585320083458

PatternAtlas (@patternatlas)

Starting a thread cataloguing resources for learning Category Theory.

To get all of the resources in this thread at one place, check out: https://t.co/PpImfrBnhW

X · Oct 1, 2020, 6:00 PM

[normal crystal]

that's not long
usually they are much longer and a combination of survey and primary sources

[sly nebula]

You guys learning theory of cats?

I mean I needed opinion between two books

Aluffi's chapter zero and maclane's Algebra

Bg, analysis via rudin, from algebra only group theory, and some topology

[sly nebula]

I can't decide between the two. Both cooler, I read the first chapter of both but that's it

[mortal iris]

If you've not seen more than group theory, Aluffi is the better choice among the two. That said, given you've gone through books like Rudin, it may be better to look at Gorodentsev's Algebra for a more terse yet comprehensive exposition. If you want a friendlier introduction then Silverman's book is a great option.

[sly nebula]

I've two more options now

Will look into them, thanks

[mortal iris]

Hands down Silverman has the best exposition for relative beginners among all these and the approach he takes in his text is very well suited for self-study.

[sly nebula]

I just want some cat theory

[mortal iris]

Then why you fishing for Abstract Algebra texts?

[sly nebula]

two birds with one stone?

[odd cargo]

https://tenor.com/view/tayomaki-sakigifs-cat-meme-stan-twitter-gif-22912041

[sly nebula]

hehe sorry

[mortal iris]

Whatever cat theory you'll see in them would be minimal if at all any. Silverman does introduce categories (and a lot of other things) as well in his last chapter to give you a taste. But if you wanna study categories, you had better pick up a different book (Lawvere's Conceptual Mathematics is solid) for that.

[sly nebula]

I think I'll study cat. Let me see the prereqs

[odd cargo]

Aluffi

goofy

[mortal iris]

Lawvere's book assumes nearly no prereqs. Most of it can be introduced to first year undergrads the way it's written.

[tame tree]

why in heavens does cat theory sound so appealing to some

[odd cargo]

people love arrows and diagrams

[sly nebula]

so, the day I saw commutative diagrams..

I felt a tingle in my heart

[tame tree]

i like them too when theyre actually being used for something

[sly nebula]

I have a thing for those..

[sly nebula]

his writing cool

[sly nebula]

Ah! Let me get it

[odd cargo]

a lot of people i know personall, and that are graduates, can vouch for him 100%

[tame tree]

i can only vouch for him 99.9999…% smh

[odd cargo]

same thing

[sly nebula]

you guys are making me trust on him..more than my girl