book-recommendations

[ebon whale]

stewart is standard for calculus. my school's lin alg for pure math kids follows linear algebra done wrong by serge treil. its free online

[tiny gulch]

I love LADW

[ebon whale]

yeah i do too. but LADR is what a lot of ppl learn from and it does lin alg way differently

[tiny gulch]

I do not like LADR lol

[ebon whale]

i agree

i think its kind of ridiculous

[narrow gull]

What's up with LADR

[sage python]

Mainly, it's got a fairly specific agenda which, on the one hand limits its utility (if you use it as a first book, students will be missing some content), and on the other hand just is a questionable agenda

[floral lantern]

LADR’s new edition makes it a lot more useable

Because the determinants chapter is like

Genuinely good LMAO

[sly jolt]

the whole point of LADR was to avoid determinants as much as possible, no?

*"Determinants are difficult, nonintuitive, and often defined without motivation. To prove the theorem about existence of eigenvalues on complex vector spaces, most books must define determinants, prove that a linear operator is not invertible if and only if its determinant equals 0, and then define the characteristic polynomial. This tortuous (torturous?) path gives students little feeling for why eigenvalues exist.

In contrast, the simple determinant-free proofs presented here (for example, see 5.19) offer more insight. Once determinants have been moved to the end of the book, a new route opens to the main goal of linear algebra—understanding the structure of linear operators."*

[floral lantern]

Yes but people need determinants lol

[sturdy shore]

LADR's purpose is to avoid determinants as much as possible when developing the basic machinery of LA

it is not to avoid determinants altogether, which is a fundamental concept in LA that nobody denies

[sly jolt]

i should'v said as much as is reasonable. not as much as possible

[sturdy shore]

putting it at the end of the book is, I'd say, as much as is reasonable lol

and I assume you can read it earlier if you want, you just won't see it get used in proofs of other stuff

[rigid trail]

If I was, not anymore

I'm actually using it now and I realized it's just straight up way more efficient and readable

Also typst-preview plugin is ridiculously good

that's what sold me

[molten gulch]

Typst

[cerulean steppe]

I'd start with https://mtaylor.web.unc.edu/notes/complex-analysis-course/. I haven't read all of the Riemann surface sections, but the other sections were good.

also M. Taylor's 3 PDE books have multiple chapters on Riemann surfaces and related material

[vital bane]

same, I mean it's alright but it's like 6/10 at best (3rd edition that is) but the 4th edition has some improvements

[trim kayak]

I'm starting to read through an Intro to Stats and Probability textbook. I want to review some concepts and learn others. I will work on some problems from each chapter. Should I focus on the odd numbered ones so I can check my answers in the back? Maybe complete the even numbered ones for extra practice?

Should I take detailed notes on each chapter? What about the definitions and terms explained in each chapter?

[sturdy lintel]

#study-discussion

[trim kayak]

Thanks. Didnt realize there was a channel for this.

[rigid trail]

whats wrong w/ it

[steady eagle]

#math-discussion

[sly jolt]

there aren't many tbh. maybe look at some calculus for engineers books

Schaum's calculus is literally just problems but imo not that good

[vital bane]

If you want to get good an evaluating integrals then I'd recommend this book

[solid gate]

any recommendations for Intro Analysis books ?

[vital bane]

Understanding Analysis by Stephen Abbott

[solid gate]

Does it have good examples that you can work on just for brainstretch to what they wrote

[vital bane]

Indeed

There are a lot of good examples and he leaves a lot of stuff to the reader to figure out, but not too much that it becomes terse and unreadable. He combines that with amazing exposition of the ideas behind analysis 🔥

It's such a peak book

[steady eagle]

What is that subtitle

[steady eagle]

https://www.reddit.com/r/learnmath/comments/nc7c1v/real_analysis_books_which_to_use/
this list has all the standard ones, and basic reasons as to why

[foggy quest]

"Introduction to Analysis in one Variable" here: https://mtaylor.web.unc.edu/notes/math-521-522-basic-undergraduate-analysis-advanced-calculus/

[old elk]

The collection :''3

[normal crystal]

the french one must be
Linear Algebra Done Left

[old elk]

I wouldn't recommend Axler's book for beginners, I would recommend something more elementary, maybe for someone advanced who needs to remember some concepts of linear algebra this would be perfect.

[willow wagon]

what's the prerequisite for starting topology, considering i know differential equations and basic group theory

and best book for intermediate group theory

[tender river]

if you knew some analysis that would be ideal before going into topology

[willow wagon]

real analysis or complex? @tender river

[vital bane]

Real Analysis

[mellow wren]

why do you need 4 linear algebra textbooks

[true sail]

It's not enough, more is more better

[narrow gull]

More books = more smart :)

[daring wolf]

🗿

[narrow gull]

https://cdn.discordapp.com/attachments/1240680249411240038/1240683159914283109/ezgif-1-ff5eb7b054.gif

[fresh skiff]

Is it a Russian book?

[sage vale]

Thank you

[gray gazelle]

Basic real analysis for motivation and set theory I guess. If you’re a beginner, give Bert Mendelson’s intro to topology a try, it’s quite good

[foggy gorge]

I would like suggestions on plane and solid geometry books to build some foundation and also prepare for exams

[bright galleon]

What exams require you to know geometry?

[foggy gorge]

Exams like MEXT, EJU, JEE…

[topaz silo]

Did you decide on one yet?

Or are you going to try and simultaneously prepare for both mext and jee

[foggy gorge]

I'm obviously focusing on MEXT, but I dunno what kind of exam people here are familiar with

[topaz silo]

because from what i saw of that paper theyre not on the same level at all

[foggy gorge]

So I'm trying to base myself in similar/scaled levels

Yea jee is way harder

But still

I dunno what international exams with a slightly challenging level people would be more familiar with here

I thought about mentioning olympiads but MO usually have a different style of exam than entrance exam ones

Maybe a problem-solving focused book would be great for my situation?

I think I found a good one

Gonna try

[tender pendant]

Do you know any good elementary linear algebra books?

I’m having a hard time finding high rated books that aren’t axlers

[spiral mural]

somebody reccomend a handbook for calc II

[cerulean steppe]

Actually I believe the most recent edition of Axler is probably suitable for beginners, but I haven't read it. I liked https://mtaylor.web.unc.edu/notes/linear-algebra-notes/. You may also check out Linear Algebra Done Wrong: https://www.math.brown.edu/streil/papers/LADW/LADW.html

[molten gulch]

friedberg insel and spence

[foggy yoke]

Any good math books you recommend? From beginner to expert?

[tender pendant]

Thanks guys

[gray gazelle]

Ngl it’s not

[dim pendant]

What does "from beginner to expert" mean

Does anyone have any analytic NT texts they'd like to shout out? I'm specifically looking to study it in order to work with Dirichlet series and, later, modular functions, so there should be little bloat and minimal prerequisites, being some elementary number theory and some complex analysis.

[cunning elk]

think your question through more and try again

[remote sparrow]

apostol is pretty standard

[dim pendant]

Thought so, it's what I'm planning to use as my primary reference

[twin elk]

Does anyone have A History of PI by Petr Beckmann? I'm debating whether to get it or not.

[old elk]

If you want something demonstrative detail by detail and well explained, we recommend you Advanced Linear algebra with Applications by Mohammad Ashraf and Aslam

You only need to know logic and set theory and a little experience in demonstration the rest the book does the job in some theorems, but you have to work, yes without understanding some things and it frustrates me but there we go.

[old elk]

[old elk]

Spanish by Evangelina Santos, it's excellent book

[old elk]

One is better than the other one has more than the other one has more example, one has an introduction to functional analysis indirectly which is Thamban's, the demonstrations are different among other things.

[gray gazelle]

yeah i've got a bad case of that, but with ebooks

i've probably acquired enough books for multiple lifetimes

i'm curious what books have been the most influential on how you think

for me it is probably the little schemer by dan friedman

https://mitpress.mit.edu/9780262560993/the-little-schemer/

i never finished SICP but that seems like one i would get into. here is something interesting https://ankibooks.io/books/52bffa3d-fd33-422b-8c48-a0253a9e157d

[gray gazelle]

heres some pretty solid looking decks https://ankiweb.net/shared/by-author/857020437

[sturdy shore]

sicp definitely influenced how I think back when I went through most of it, tho idk if those lessons have stayed with me lol

hope they did

also, even if I had time to read 15 hours a day, I'd be faster at collecting books I want to read compared to reading books

so, I feel like a wishlist tsundoku is inevitable, whether you own physical copies or not

[trim kayak]

I feel so confused about the best way to study some texts I have. Ughhh

[fresh skiff]

Reading books depends from person to person.
For myself, if it is my first course i try to read straight and try to do as many problems as i can. And yes, after completing each chapter revisiting previous ones is useful.

[tender pendant]

Videos or lectures are helpful for learning and then you can use books to review and practice

thats what i do

[gray gazelle]

I've learned some neat arithmetic tricks from the aops pre algebra book and I'm using anki to schedule review for each of the problems. Not sure if this is effective - I'm kind of interested in competition math so we'll see how far I get

I think the way to study a book depends on your goals so maybe figure out why you are reading a book and then answer that why with how you study it

[nocturne badge]

i dont know if thats the direction youre going for but deitmar's autormorphic forms is very good id say for that purpose, apostol is usually just apostol with terrible proofs and 0 motivation and terrible presentation but there isnt much you can really do. also its interesting it is pretty much the only book ive seen bohrs work on general dirichlet series

[dim pendant]

I'll check it out, thanks

[digital onyx]

I somehow wonder not a question, why no one ever hypes for elementary analysis authored by Kenneth Ross

It’s such a book for analysis even if you’re not a math major. I have the book it’s actually decently more elementary and down to earth compared to Abbott yet it is fairly comprehensive in its breadth and depth..

I am a big fan for Abbott too, but for beginners (like non mathematical background) I genuinely feel Ross book is more understandable. I really like this book and personally if I were to have children I’ll give them this as their first analysis book🍀

[normal crystal]

*Ross

[digital onyx]

Sorry for my memory

I mean I am not a math student so I certainly bad at memorizing math author🫣🫣

[foggy wolf]

what is best book for complex analysis

[heady ember]

See the pinned messages

Another one not included in Sloth's review, Saeed Zakeri's A Course in Complex Analysis, is extremely well-liked by some.

[dire bane]

does anyone have any good book recommendations? im into matrices and I want to learn more about sin and cos stuff! lmk if you know any!

[half void]

If youre into matrices maybe you’d want to learn linear algebra—im sure there are good suggestions in the pinned messages of this channel

[dire bane]

[half void]

This

[dire bane]

oh, okay, thank you!

[digital onyx]

I found this lecture note very good as textbook already if you have decent foundation for analysis

It’s written in very thorough way and no detailed omitted. And if you want a dedicated book it’s more up to what level you want it

[marsh ingot]

<@&268886789983436800>

[marsh ingot]

It was for scam. Already banned user

Not related to you

[long zinc]

I am currently solving class 11 maths can anybody recommend me any reference book to practice as i still lack some concepts

[foggy wolf]

i havent tried any other book for calculus but imo Thomas' Calculus is amazing because it has pretty good examples and nice questions and covers 10th-early uni(early college)

from precalc to calc 3

[sage vale]

what should i learn after multivariable calculus, linear algebra and differential equations?

[tender river]

what do you want to learn? you could do probability and stats

[sage vale]

i despise statistics and combinatorics from the bottom of my heart.

[tender river]

or analysis

[sage vale]

how about point set topology. would i be able to do it with the current math knowlegde that i have?

[keen trellis]

Same

[sage vale]

i was also thinking of taking on differential geometry. but i do not know if my current math knowledge allows for that..

[remote vortex]

Surely Tsundoku is a tsundere sudoku

[normal crystal]

that must be a real mobile game
if not, LET'S GOOOOOOOOOOO

[foggy quest]

differential equations, linear algebra, real analysis

[foggy quest]

no, for you it doesn't make sense to learn point set topology beyond what is covered in real analysis books.

[foggy quest]

you need single and multivariable analysis and linear algebra before differential geometry

[sage vale]

when you say multivariable analysis, is that the same as multivariable calculus?

cuz im already done with that, and linear lagebra

[potent quest]

were your calculus classes proof-based with a significant emphasis on theory and proving theorems?

often courses called "calculus" skim over most of the theory and mostly focus on teaching computational procedures with derivatives and integrals, mainly aimed at science and engineering students who aren't going into more advanced mathematics

while "analysis" courses tend to focus on the theoretical development of calculus, giving proofs of theorems that are used and expecting the students to write proofs as exercises

[scarlet geyser]

hello guys

someone help me at the moment i finished 3rd cours at uni and my liner algebra is good but i dont like algebra/ and my mathamatical analysis is so bad but i like mathamatical analysis

and i wanna start learn agan mathamatical analysis

someone to advise me rule book and example book also some yt chanel or online corus

[foggy quest]

I mean "Introduction to Analysis in Several Variables" here https://mtaylor.web.unc.edu/notes/math-521-522-basic-undergraduate-analysis-advanced-calculus/

[sage vale]

wow thank you so much

this is a great website

[wide steppe]

Haven't read it myself as I'm not too big an enthusiast of analysis, but heard a lot of people say Spivak's calculus book is really good

(and that despite its name being "calculus" it is very much rigorous, extensive and comprehensive)

[sage python]

L in Death Note uses that guy "Lind L Taylor" so maybe that's the connection

[foggy quest]

I took linear algebra from him that's it. M. Taylor is famous in the PDE world.

[old elk]

Band I feel frustrated because I don't understand math.

[trim kayak]

I have a used Intro to Probability and Stats textbook that was published in 2008. There is a website included in the book that gas various resources. I tried to access the website but it says not found. Is there another way to possibly access the website that goes with the text?

[normal crystal]

wayback machine

[trim kayak]

?

[strong frigate]

Search for the archive of the website at https://web.archive.org/

[trim kayak]

Thanks!

[trim kayak]

I searched for the url of the website. I clicked the link it found and it just saved it under the calendar for today's date. The link doesn't take me to the website.

[cunning elk]

... try older captures?

[strong frigate]

It’s possible it wasn’t archived, or the book was in behind some dynamic engine that doesn’t support archiving/storing. You may also be able to find a pdf online, but beware of potential viruses: https://www.google.com/search?q=introduction+to+probability+pdf

[fresh palm]

any good books for calc bc

[cunning elk]

almost anything oriented towards AP tests is isomorphically bad

[fresh palm]

or anything first year math

for uni

[cunning elk]

stewart, thomas, hughes-hallett, etc are probably fine?

once you’ve learned the content for each topic supplement by working through past test papers

[fresh palm]

alr thx man

[cunning elk]

np

[ancient creek]

What is the learning path for geometric measure theory one should consider? What is the recommended source for it?

[cunning elk]

algebra brainrot

also the term just gets used a lot in more advanced topics

[turbid ivy]

Hey, I want to start a mathematics bachelor's degree next year. It's been a while so I'm brushing up on my highschool level stuff but I also want to improve on my weakness which was proofs, before starting my courses.
I was thinking of going through jay cummings' proofs book this summer. Good idea?

[sterile pelican]

I like Velleman better

But sure if your goal is to prepare for some high level maths then either of the two works

[gray gazelle]

Personally, I prefer Hammack’s Book of Proof

It’s free and comprehensive, and the tone is nice too

Not too long either

[scarlet geyser]

okey thx man

[fresh skiff]

This. I learnt proof properly from here. But i just read till ch3

[shadow scroll]

Are there any books on explicit construction of real numbers via Cauchy sequences in Q in ZFC? I have read Enderton and he did it via Dedekind cuts

[cerulean steppe]

The one variable book here does it (it's an intro to analysis): https://mtaylor.web.unc.edu/notes/math-521-522-basic-undergraduate-analysis-advanced-calculus/. Terrence Tao's intro analysis book also does the same.

[warped steeple]

i want to find a book thats an introduction to mathematical logic, im not yet into things such as real analysis, proofs classes, or stuff like that but i want to prepare myself for when i do go into those classes

i tried finding a pdf of pure math for beginners but i couldnt get anything

[sturdy shore]

a proofs class should precede any introduction to mathematical logic though?

if you want to get yourself ready for pure math you wanna be looking for the books discussed just above

cummings, velleman or hammack

[sage python]

I think that's what was meant by logic here

"Prepare myself for when I go into those classes" seems to indicate that it's the stuff in logic and set theory that you need to do any kinda math, rather than model or computability theory (which I figure this person hasn't heard of)

[sturdy shore]

yeah I realized that

I was initially confused when they said it was to prepare themselves for "proofs classes" but I think that meant classes with proofs, not the proofs class we think of

[hushed forge]

ive just finished y12 and im wanting to do a masters in maths , what book would u recommend me reading

[mossy flume]

I mean before masters comes a bachelors

and in either case, it depends on the math you know currently

if you don't know calculus, I would learn calculus since you'll probably have to do those courses before you can do other courses (that's standard at most universities)

if you know calculus, then perhaps a linear algebra text or an introduction to proofs text would be good

[hushed forge]

yh im quite strong with calculus ill give proofs text a go , u got any books that u know of ?

[molten gulch]

Hammack's book of proof is good and free (legally)

[hushed forge]

thank you

[mossy flume]

Self studying proofs is hard so I'd recommend also using the #proofs-and-logic channel to have people read and check some proofs you write

Really the key part of a proofs course is that you write proofs yourself, and someone else reads them and tells you how to improve them (just like any other writing course)

[remote sparrow]

it could be an integrated masters

[mossy flume]

ah fair point

[molten gulch]

<@&268886789983436800>

[lime vessel]

Please stay on topic

[last cipher]

good choice

[sturdy shore]

you like epubs?

[sturdy shore]

books as in normal books? hell yeah

as in math textbooks? hell no

[slender wasp]

I haven't found a good solution for quickly looking up previous theorems being referenced as you are reading thru. Folks have suggested opening the book in two different readers but it's still annoying.

I think so. Ctrl F would be worse than scrolling back as you'll get all references to the Theorem number if you search

[sturdy shore]

I actually find that ereaders are better at going back and forth if they are hyperlinked

[slender wasp]

Oh yeah if they are hyperlinked, it's alright. But they rarely are, aren't they?

[sturdy shore]

not so uncommon in my experience

I also don't think scrolling on ereader is much slower than flipping thru a book, obv advantage of book is it's easier to go back (some ereaders may have the ability to instantly return to where you were after making a jump)

actually, if the ebook is bookmarked, it will still be better than a book generally lol

and they are generally bookmarked

you cant instantly open up this on a physical book

[slender wasp]

which reader is this?

[sturdy shore]

librera on mobile

most ereaders on pc will have this

I love librera it is goated

[slender wasp]

looks good. I mostly use kindle which is ok too with hyperlinks but still... 😛

[vital bane]

Diff geo detected, opinion accepted

[sturdy shore]

I knew learning diff geo would pay off

I like mine 🤷

[vital bane]

apple products are just overpriced pieces of mediocre tech

get the amazon e-ink tablet

[sturdy shore]

only reason I use android is I don't like apple lol

I generally hear from ppl that ipads are the best tablets, but I'm guessing in return you'll pay more for similar specs because apple

[vital bane]

macbooks? or the desktop apple PCs?

[sturdy shore]

but overall it's just abt whether you are already in the apple ecosystem imo

[vital bane]

I mean I'm sure it might be good, but for the same price you could get a better laptop imo

Time to switch to Linux 🔥

sometimes

Interesting

wait

what's a windows laptop?

Like microsoft surface pro?

[slender wasp]

windows is officially free

[sturdy shore]

interesting I'd guess macs to be more expensive but maybe not

[rigid trail]

not good enough

theyre gonna have to pay me to use wind*ws

[slender cargo]

I think lower end Apple products are good or at least okay value? Can get a Macbook Air M1 in the states for $650 for example

[slender wasp]

well I don't wanna use windows, have a linux dual boot but I haven't figured out the cleartype/antialiasing font shit so I have to keep windows for now

[vital bane]

You'll figure it out soon

[rigid trail]

def something that you can figure out, trust

[slender wasp]

yeah i'd like to use only linux and I probably could since I don't game anymore. For gaming, you can't do without windows or apple imo

[remote sparrow]

i got my gaming laptop last year during black friday for a really good price

was 36% off

yeah

[rigid trail]

and if you play stuff not supported by it, then maybe it isnt so great of a game in the first place 🗿

[remote sparrow]

https://www.bestbuy.com/site/asus-tuf-gaming-a16-16-165hz-gaming-laptop-fhd-amd-ryzen-7-7735hs-with-16gb-ddr5-memory-radeon-rx7600s-512gb-pcie-ssd-off-black/6535499.p?skuId=6535499

[vital bane]

Nice

Sour Drop, the king of good deals

[remote sparrow]

not sold anymore but it was $700 before tax

[vital bane]

That's what discord runs on

at least the windows desktop app

[remote sparrow]

i upgraded the memory at a decent price too

[vital bane]

from what to what?

128 to 256?

[remote sparrow]

well more like i slotted another ssd

so 512 GB base + 2 TB stick i bought

[vital bane]

Oh you mean storage

[vital bane]

M.2?

[remote sparrow]

yeah

[vital bane]

Very cool

What ssd?

Kingston? Samsung?

[remote sparrow]

wd black

[slender wasp]

Gotta switch to my fedora install. Give up windows. Also windows 10 EOL seems to be Oct this year...

[rigid trail]

fedora is solid

[slender wasp]

I've mostly been in the redhat ecosystems forever so don't know anything else

[vital bane]

Mint...

I wanted to try Ubuntu, but people say Mint is a better version of Ubuntu

Mint is old? I didn't know that

I thought it was quite popular and updated regularly

gotta try all of them

or make my own distro

[ebon timber]

discrete math

idk it

for proofs or discrete math

aight ima check this on zlib

Do i need to learn proof techniques before discrete math?

this understandable tbh

[sterile pelican]

So Silverman's The Arithmetic of Elliptic Curves requires some AG and ANT background, I think Cox's AG book satisfies that, I think, but what is a good ANT book? I am currently doing Silverman's NT and doing Anderson's Abstract Algebra

[wicked fractal]

Have you read "Rational points on elliptic curves"?

[sterile pelican]

Nope

[wicked fractal]

You should

There is a decent chunk of algebraic geometry there you can learn along the way. So you can have one viewpoint of looking at varieties

So in a sense algebraic geometry is not a prerequisite but if you know some it's okay

For algebraic number theory, I recommend using "Number fields" by Marcus for a lot of exercises and maybe take a look at Neukirch too if you are interested in class field theory

@sterile pelican

[sterile pelican]

I do have Roman's Field Theory up next in my list after Algebra

Would that do?

[wicked fractal]

I'm not familiar with this book. I used Milne's notes (since all the number theory stuff you need are there)

If you get the hang of Galois groups and understand ring theory (commutative algebra), the Silverman book I suggested should be a good deal

[sterile pelican]

Hmm I could have a look at rational points first then likely a good thing to do after Algebra

I do have Cox's AG too though just not sure if it would help

[wicked fractal]

You can do both at the same time. If you really want to do elliptic curves you can start right away and when you feel like you are missing stuff you can go back and learn the algebra needed

That way you don't lose interest over time

[sterile pelican]

Like doing algebra and rational points at the same time?

[wicked fractal]

Yes

[sterile pelican]

Ooo that's an interesting proposition

[wicked fractal]

That way you get a taste of both worlds

[sterile pelican]

I am doing Silverman's friendly intro to NT

[wicked fractal]

Let me look what does that cover

[sterile pelican]

Well elementary NT I recall

[remote sparrow]

the emphasis is on computational algebraic geometry (stuff that can be implemented on computers), rather than classical or scheme-theoretic algebraic geometry

[sterile pelican]

Yeah I find it fascinating it can do that but I hear scheme is kind of scarily abstract for an idiot like me :^)

[wicked fractal]

I didn't ask this but what's your motivation for elliptic curves?

[sterile pelican]

I find them interesting and I like Silverman's prose :^)

Also well modular forms of elliptic curves sounds like something I want to look into, always like algebra and some nt in my life

[wicked fractal]

If you do a good chunk of Neukirch's first two chapters, schemes won't be as scary as you might think. I do have book recommendations for schemes but I think it's a good idea to understand the variety story first to appreciate what schemes provide you that varieties don't

And to understand the varieties story, rational points is a good book for this. You get to understand both how varieties work and elliptic curves as well

[wicked fractal]

Oh yeah absolutely modular forms are my favorite functions

[sterile pelican]

Let me look at Neukirch, does it have a name?

[wicked fractal]

Algebraic number theory

It's a rough read

Another alternative is "Number fields" by Marcus. This book is more lenient and it has a lot of exercises

[sterile pelican]

Ooo

I like more exercises I seem to learn best like that, it's why Anderson's A First Course in Algebra book is a perfect fit for me

[wicked fractal]

I always recommend Marcus for people not too familiar with algebraic stuff and don't like dry things

[sterile pelican]

Okay so algebra+rational-> Marcus-> Silverman's elliptic curves?

[sterile pelican]

Also hi Sour! Yeah I thought have computation with applications is quite nice though, but maybe for this case not so useful

[wicked fractal]

Which Silverman EC are we talking about?

[sterile pelican]

arithmetic?

[wicked fractal]

Oh let me look at that

[sterile pelican]

Alright thanks

Just poking around really, thought to do something after Algebra and I do like to see modular forms of elliptic curves

[wicked fractal]

Seems like the book covers more or less the same stuff in rational

Rational goes over modular forms if i remember correctly

[sterile pelican]

Ah!

It's just in Arithmetic he did mentions to know algebraic number theory but I have no clue what that means exactly

I guess I can look into Rational

[wicked fractal]

To be fair I need to look at elliptic curves myself too. I don't understand the story over Q(alpha) very well

The story over rationals is already done

But alas I'm quite hooked on schemes right now

[sterile pelican]

I would like to see schemes at some point

I haven't read on varieties yet (well of course since I didn't read any AG )

But thanks! At least I can look at Rational for now

[wicked fractal]

No problem! Happy to see people getting interested in these stuff

[vernal tinsel]

Deltoid when number theory mentioned:

[remote sparrow]

is vero a deltoid orbiter

[vernal tinsel]

I just check around and see if any of pseudo, deltoid or cleo

Are there

[sterile pelican]

If I say Duistermaat, who would I summon? :^)

[summer musk]

recommending this book

intro to category theory

[tiny gulch]

wait why me

[daring wolf]

wait

its book recommendation mb

[chilly dove]

anyone got recommendations for pre calculus?

[sterile pelican]

After finishing high school, with a crappy exam result, I read Basic Mathematics by Serge Lang and he helped me a lot. However, before I saw Lang's book I read Gelfand's Algebra and Gelfand's Functions & Graphs, but I cannot say I recommend them since Gelfand is known to be quite hard. I did enjoy Gelfand's Functions & Graphs though and no algebra required for that book, but you do kind of need it to be fair

[distant kite]

Does anyone have/knows some good resources for learning multivariable calculus? Wouldn't hurt if it's sweeping over single variable calculus again as well.

[vital bane]

If you change your reference frame then Deltoid looks like a Vero orbiter

[tiny gulch]

What about me

[hollow mist]

I'm looking for a proof notes with which briefly explain topics in few pages and include important exercises ranging from top questions to olympiads so student can ensure that they become bulletproof in terms of proofs.

[visual pivot]

can anyone recommend a book on abstract algebra. i do cryptography and i need a book which i can quickly refer to when i encounter some abstract algebra jargon

[vital bane]

Gallian

"Contemporary Abstract Algebra" by Joseph A. Gallian

[hollow mist]

in this case, I would suggest professors notes, not books.

[visual pivot]

hmm.. fair enuf. but i do plan on getting deep with mathematics for research purposes

[vital bane]

I would suggest a book in that case

[visual pivot]

this book looks good..thanks!

[hollow mist]

if you wanna go deep, then i think the book @vital bane mentioned is a better choice.

[vital bane]

My personal preference is actually

But I suggest Gallian because it has a more applied taste

[visual pivot]

i see

[vital bane]

Which seems to be the use case for you

I think Gallian also has a section about cryptography

[visual pivot]

yeahh.. contents seem to be fulfilling my purpose

thanks for the recommendations

[hollow mist]

@vital bane do you also have a suggestion for this case?

[vital bane]

Okay no this wasn't true

It was coding theory

[vital bane]

I don't really know I learned to write proofs by just doing math, analysis, LA, Abstract algebra

[hollow mist]

tbh I don't have my high school exercises with me. that's why I have asked. nevermind then, thanks alot.

[daring wolf]

my personal preference is aluffi chapter 0

(meme book)

[hollow mist]

jacob lurie emoji

[bright galleon]

Is Aluffi a meme book now?

[wind nova]

Isn‘t one chapter short for galois theory?

[vernal tinsel]

Galis

[remote vortex]

Garish theory

[molten gulch]

galois*

[wind nova]

Oups

[vernal tinsel]

[tiny gulch]

hiii vero

[brisk crypt]

How good is titu andreescu for complex numbers

Solving wise

Oh yeah real analysis as well

For a beginner in undergrad level

[gray gazelle]

I was recommended this text for a “first course” in algebra when I was first starting out uni math

Suffice it to say I got depression

[sturdy shore]

ye you got trolled

[gray gazelle]

That’s putting it lightly

😭 😭 😭

[molten gulch]

Why? Was it too difficult?

[mortal ore]

Its different later on

The algebra this person is talking about concerns groups, rings and fields

[balmy garden]

classical mechanics textbook with fun/convoluted exercises? not just point masses, but more complicated systems

[gray gazelle]

At the time, yeah

Abstract algebra

[floral lantern]

at what level?

first course/undergrad/grad?

[balmy garden]

undergrad, but nothing too crazy

[floral lantern]

morin's book doesn't have anything too advanced (I think there's like only one chapter on Lagrangian it's designed for an honors freshman mechanics class) but has lots of very sophisticated problems leveraging things like symmetry and such

kleppner and kolenkow is another book at a similar level with lots of real-world problems

[strong rampart]

classical mechanics by john r.taylor

[remote sparrow]

https://www.amazon.com/Classical-Dynamics-Particles-Systems-Thornton/dp/0534408966

you can also select a few problems from goldstein, a graduate text

https://www.amazon.com/Classical-Mechanics-Herbert-Goldstein/dp/8131758915

[balmy garden]

i'll take a look at all three, thank you

[normal crystal]

Eris, I think Marlins rec's are probably more appropriate for the level you want/are at

[heady ember]

Of course, we all reas Hartshone, Eisenbud, and Jacobson in pre-uni.

(Just a joke)

[daring wolf]

reading hartshorne as preuni lmao

that'd be very fun

[heady ember]

Therapist: You poor child... How did you develop depression?
Child: Hartshone.
Therapist: WHAT?! ||Ok I can't cure you, please get out of my office.||

[visual pivot]

I really liked Goldstein.. but problems seemed more formal than morin's if u know what I mean

[mortal ore]

oops

ive heard this from people meaning it seriously too many times, its like a sleeper code now

[wild blaze]

what books should I review for intro level abstract algebra

like for linear I heard linear algebra done right is a good starter

[rigid trail]

That's a linear algebra book

[sturdy shore]

I don't think you need to review anything for intro AA, if you already have basic mathematical maturity

like if the concepts in, say, Hammack's book of proof is familiar to you, you'll be fine

or else look at those

unless the course is heavily LA focused, in which case chapter 1 of Artin's algebra might help, since that book does a similar thing sorta

[wild blaze]

okay what about after I take abstract algebra to review for introductory algebra for grad??

i will have a year and a half gap between abstract algebra and my senior year where I take introductory algebra designed for grad schools

[sturdy shore]

LA book review is pinned, pick and choose!

I like LADR but not everyone does

also can depend on whether you are algebra or analysis focused, analysis people may favor LADR more

don't think it matters too much though

[modern bolt]

Why are some textbooks (like LADR) so challenging, but many courses use ones that are much more simple

Like I have a book called "Elementary Linear Algebra". And it covers a lot of the same things as a more advanced textbook, function spaces, etc. Even up to some advanced applications (MRIs). But when I look at the problemsets, it's all busy work, such that a reasonable learner would get bored quickly

Is there any reason not to just seek the most difficult

[sturdy shore]

LADR is meant to be a 2nd book, in that context I don't think it is all that challenging

but you are right that Axler's problems tend to be harder than the main content imo

[sturdy shore]

difficulty doesn't imply quality, plus there are many more dimensions to judge a book on

all else equal, you definitely don't want a book where all the exercises are easy

[modern bolt]

Difficulty paired with variety make for a thought provoking and challenging excersise regardless of utilityy

[sturdy shore]

but some easy exercises are good

[modern bolt]

Yes

To build confidence by proving to the reader that the subject is capable of being easy

But I understand how easy linear algebra is from taking a "row reduction course"

now I want to see how challenging it can be (the good kind of challenging of course)

I'm not reading Axler though, I'm reading Strang

Linear Algebra and Learning From Data in particular

I'm not reading his whole 650 page intro that would take forever and not be as relevant

It's great. I'll probably donate ELA to a library or used book store

[modern bolt]

Will at least take me the rest of summer to finish this ~450 page textbook

[brisk crypt]

nobody listened to me

[wild blaze]

im taking AA and LA at the same time so do I just heavy self study for LA then. are u sure I don’t need anything for AA I feel kinda unprepared

[sturdy shore]

again, the only prereq for abstract algebra is comfortability with proofs and understanding of basics like functions and relations

maybe I can give a more accurate answer if you know what book the course is using

[ripe pagoda]

ones youll need next year or maybe friends need….

you should buy me the 1 2 3s of modular forms for my awesome advice

[wild blaze]

Oh awesome

What textbook do you guys recommend for starting it then? Just what my university provides?

[tender river]

judson is well liked http://abstract.ups.edu/aata/aata.html and so is pinter's "a book of abstract algebra" at the introductory level. my fav is definitely rotmans advanced modern algebra, although this is a book that expects a little more from the reader, youll be able to tell when you read the first chapter

theres a review of a bunch here as well #book-recommendations message

[wild blaze]

People have said after introducing myself to linear and abstract I should read Roman

[tender river]

whats that

[wild blaze]

Nvm it was advanced linear algebra

By Roman

Is Pinter and the one you linked similar level? Should I start with those

[tender river]

advanced linear algebra is probably just covered in your second algebra course, people probably usually do module theory then

judson and pinter are fairly introductory, i dont think either covers modules

rotman does in the second half of the first volume

[wild blaze]

so starting out Judson, when I finish rotman? Or should I try rotman first to see if I can understand it

I have no AA experience

[tender river]

yeah so rotman assumes that you can work your way through some of the number theory stuff by yourself in the early chapters. thats probably where it might get tricky for a beginner. i think you can try working through either judson or pinter or a similar level book to start with and once you start to feel comfortable you can then try to work through the problems in rotman and the second half of rotman

[wild blaze]

okay sounds good

[tender river]

steve romans advanced linear algebra is not really a great book for learning linear algebra the first time, it is written like a bit of a reference for advanced students

[wild blaze]

yes later

I’m studying linear algebra done right

rn

[tender river]

yaeh that book is fine

[wild blaze]

awesome those are the 2 books I’ll focus on then

thank you

[wild blaze]

can I do LADR while doing Pinter?

or one comes first?

[tender river]

you can do them concurrently, yes

[wild blaze]

awesome

thank you so much

[steady eagle]

Any real analysis book reviewers around? Mind helping me look at https://classicalrealanalysis.info/com/

I just saw this site in a citation

[sage vale]

what do i need to understand tensor calculus?

ive already mastered multivariable calculus, linear algebra and a bit of differential geometry.

is that enough mathematicial maturity to understand tensor calculus?

and if it is which book should i start reading?

[rancid stratus]

1 million digits of pi

[sage vale]

why?

[remote vortex]

They're trolling

[rancid stratus]

maybe try reading calculus on manifolds by spivak

[molten gulch]

yeah tensor ops should also be covered in any good DG book anyway

[sage vale]

does calculus on manifolds by spivak go into more deep differential geometry?

[hollow peak]

The formalism of differential geometry is literally tensor calculus

So if you feel like you understand what you've done so far, then you're in good shape

Definitely helps to have had exposure to tensor products and multilinear algebra

[bitter orbit]

What is like the best math book containing from basics to university course stuff ?

[molten gulch]

No book has all of it, you'll need multiple texts

[cunning elk]

precollege math is so oversaturated that you're bound to find smth decent online

[rancid stratus]

frfr

[cunning elk]

people usually suggest khan academy - i have my reservations about it but

eh can't hurt if you're just starting out?

[rancid stratus]

i watched 3b1b

[cunning elk]

his videos work best as a supplement to textbook/coursework

they cannot completely replace a proper in-depth treatment of the material

[rancid stratus]

yeah ik but the animation is satisfying to watch 😋

[rancid stratus]

ofcourse, i know that.

[hot gull]

What's a good introduction to the diagrammatic techniques used in Predrag Cvitanovic's Group Theory: Birdtracks, Lie's, and Exceptional Groups?

[tender river]

(im only talking about the intro book) #book-recommendations message it covers a lot of things that intro books rarely cover but probably best used as a reference as opposed to primary learning material. people using the book can treat all the additional material (things marked "skippable") in it as exercises during their second pass

[steady eagle]

ooo

[hot gull]

It's been like 10 years since I've heard that damn song

You just reminded me of it

[remote sparrow]

i saw some very nice looking used copies at my campus bookstore once (of course, new and newer used copies don't have the same quality as older copies)

i did arrange to have that book printed with lulu tho

[mellow wren]

steame

[normal crystal]

Chipper you misunderstood
they're milk asking to be steamed
soon to be a latte

[digital onyx]

Is there any nice book about sets those detail choice related concepts and countability

[vernal tinsel]

What are some nice book recommendations to start lie theory?

Well I already know some but I want to learn more in the proper way

[smoky valve]

hey guys im tryna self study multivariable calculus after finishing highschool calculus, ive been watching khan academy's multivar calc playlist and some videos from other channels as well but wanted a book to really solidify my understanding and provide me with good practice problems and such. any recommendations?

[tawdry cradle]

I'm in need of good textbooks/coursebooks to learn about number theory

[cunning elk]

Stewart, Thomas, etc seem to be pretty standard

I have my gripes with these books but they do have lots of exercise/practice material

[dim pendant]

Does anyone have any brief notes on (proper) classes? I want to go from "I know that a set is an element of some class, but I don't know what a class is" to.. whatever I can make sense of 😂

According to Wiki, ZF does not give a definition of classes. I'll still take anything relevant someone can summon up.

[dim pendant]

Try "number theory for beginners" by Weil. The title is modest since it covers both basic arithmetic and algebra up to quadratic reciprocity, but if you have any experience writing proofs, it's a great introduction

Once you have finished that, you might want to consider "A Classical Introduction to Number Theory" by Ireland and Rosen.

[remote sparrow]

no, they were all the latest editions, but that edition has been out for over a decade

[short falcon]

hi chat i am new here

do you guys have any reccomendations for maths and physics?

undergrad and highschool level

[obtuse fossil]

Can

Somebody

Suggest me some great books

For maths

||-# Sets
Relation & function
Trigonometric functions
Complex number
Linear inequalities
Permutations & combination
Binomial theorem||

|| That's what i wann learn ||

[willow geyser]

||what r u spoilering||

[obtuse fossil]

|| nona what u doing here 😭 ||

[willow geyser]

||im everywhere ||

[obtuse fossil]

|| 😔👍🏻 Let someone help me ||

[willow geyser]

||no||

[obtuse fossil]

|| my life is a joke ngl ||

[willow geyser]

||it’s okay ||

||-# idont really know what to say ||

[dense pumice]

Recommendations for Galois Theory?

[remote knoll]

Please don't share copyrighted material on this platform. It's against discord TOS.

Please don't request PDFs of books on the server. I don't want discord corporate hammering the server into oblivion. Thanks. Goes the same for you too @muted charm

[royal maple]

Ok, thank you for the warning, i promise this wont happen again.

[daring wolf]

if you want something legit free, Milne has some free field and galois theory notes on their website, i dont know if it's good

idk

[full cairn]

Galois Theory by Cox is good, and I also really like Galois Theory through Exercises, which is basically just hundreds of exercises with hints and solutions

[foggy quest]

From the one chapter I read, this book is good: https://mtaylor.web.unc.edu/notes/lie-groups-and-representation-theory/

[simple root]

Do you guys know good books for organic and inorganic chem

[frigid olive]

yeah

[jaunty siren]

Does anybody have solutions to challenges and thrills of pre college mathematics ? Or some youtube playlist ?

[frigid olive]

yeah

[shadow scroll]

What is the next step after set theory by Enderton? I still feel weak on concepts like AC and cardinality, so any text that discuss those in depth if possible

[frigid olive]

yeah

[cerulean steppe]

If I were to study it, I would start with "Introduction to Analytic Number Theory" by T. Apostol

[brazen grove]

tell me fun non standard RA books please

[foggy quest]

what do you mean by non standard RA

[brazen grove]

Like not rudin abott bartle but something that covers same topics but in a different way fun way historical way or extra blabber way

[broken totem]

hi, am i allowed to share a list of books i have or plan to buy/obtain, and get feedback from folks here?

[foggy quest]

I like the books here: https://mtaylor.web.unc.edu/notes/math-521-522-basic-undergraduate-analysis-advanced-calculus/

[brazen grove]

Like do you know george simmons DE ? Something like that

[foggy quest]

They are better than Rudin and Abbott IMO

[brazen grove]

Is this a link of books or notes

[foggy quest]

It's a link to a website, and that website has links to two books written by M. Taylor

[brave hemlock]

is there a thorough functional analysis books review somewhere in here? I didn't find much from a quick lookup

[sturdy shore]

einsiedler-ward is my personal favorite
brezis I think is the staple for people who wanna do PDEs
pedersen (analysis NOW) is another choice, especially if you are eyeing operator algebras

idk much about the other classics like lax and conway, I think I had to use a bit of Lax and it was really good, maybe others can comment

[brave hemlock]

Interesting, I was thinking of brezis as someone had recommended it to me, but ig I'll take a look into einsiedler as well

[sturdy shore]

I really dislike Brezis because it assumes every vector space is real which is a disaster if you aren't doing pdes to be honest

but pde people seem to love the book so what can I say

[remote vortex]

Oh hey, I didn't know Einsiedler and Ward had a functional analysis book; their ergodic theory book is quite good, so I have faith in the FA one

[sturdy shore]

one of my favorite books, they seem to have the hang of how to write a good textbook

no lol

you'll be missing basics of sesquilinear forms, the complex adjoint, the complex spectral theorem

could learn it in a week on your own

JNF as well but there is no real JNF right? so you weren't seeing that in class anyways

yes

oh, you already took the class

then you'll need to relearn it some point in the future anyway

[signal pivot]

A good book to study limits?

[tender river]

is this for calculus or do you already know calculus?

[signal pivot]

For calculus

[molten gulch]

literally any calculus textbook should cover limits

[signal pivot]

Ok

[lapis lantern]

I've been using precalculus with limits by Larson and Hostetler and I find it to be pretty good

[humble spire]

clayden for orgo, greenwood for inorgo

[pallid pine]

Im preparing for JEE Mains+Advanced
recommend me a physics book by analyzing me from the following

I love maths and so on problem solving
I scored 93% in GSEB 10
Book --- Advanced + Mains
I have a teacher that can help me solve the problems and questions

Book can be-
Physics Galaxy
DC Pandey
IRODOV(i dont think im capable of)
HC Verma

i care about questions not concept in book
only 1 book
im in 11th grade

[humble spire]

hrk?

[pallid pine]

hrk what do u mean

@humble spire

what do u mean by hrk

[humble spire]

Halliday resnick krane

Search on Google

[shut grotto]

views on axlers measure theory book? how does it compare to other famous books (such as folland) in terms of difficulty and coverage of topics? I also plan on doing topology from munkres, should I do it before MT or after?

[deft urchin]

I have studied math, but not necessarily theoretical CS. I have tried reading Boaz Barak’s Introduction to Theoretical Computer Science but I’m not sure I like his writing style. I would like a theoretical CS book recommendation from a different author.

[molten gulch]

Sipser's Introduction to the Theory of Computation

[sterile pelican]

I hear the Nature of Computation by Moore is good too

[mossy flume]

Papadimitriou's text is also nice

[smoky valve]

any one book that stood out to you the most?

or is it just personal interest

[cunning elk]

just books I’ve heard of

I used Stewart in the multivar class I took, found it pretty mediocre all things considered

[smoky valve]

i see

[cunning elk]

too much tedious computation, too much handwaving in proofs, not enough actually difficult problems

[smoky valve]

im just tryna go for a good kinda detailed book but not too detailed

as long as it explains things well and has a good handful of practice problems too

to augment to my learning

[cunning elk]

typically you learn the computations in a typical calc 3 book

then the rigor comes later in an analysis/differential geometry class

[smoky valve]

ah okay

[molten gulch]

I think everyone has ther personal favourites

I liked thomas the most

[smoky valve]

got it

i'll look into them and probably end up getting thomas or stewart too

thanks guys

[remote sparrow]

Galois Theory by cox

[remote sparrow]

https://www.amazon.com/Approach-Analysis-Mathematical-Association-Textbooks/dp/0883857472

[remote sparrow]

i don't see why not

[brisk crypt]

Guys can anyone tell me at what level must I be to be able to solve titu andreescu’s books on complex numbers and real analysis (separate books)

[novel shoal]

@remote sparrow what do you think abt Problems In Mathematical Analysis by Demidovitch

useful after reading & working on calculus book (such as first mit calculus course)?

[sterile reef]

Hey I am just starting out on my Masters and taking a refresher on math. I find sets quite interesting and would like to know more about the topic, any recommendations for beginners like myself?

[median edge]

similar to irodov but ig funner, krotov

[remote sparrow]

hrbacek and jech

[sterile reef]

Thank You !

[digital onyx]

Is there any book a bit light that tells logics.. very formal logic? But not too heavy

[wind nova]

Does Someone have a book to help me towards a rigorous proof of Poincaré-bendixon?

Plus its version on bidimensional smooth manifolds

[hoary prawn]

im looking for a book that does euclidean geometry seriously, not at a highschool level, is there a good one out there?

[static heart]

Wondering if you think this book is okay for learning about the pullback operation. : https://digitalcommons.usu.edu/cgi/viewcontent.cgi?article=1000&context=oer_textbooks

I have done multivariable analysis, but I mostly do applied stuff, so don't need to most rigorous approach

[cunning elk]

by "not at a highschool level" do you mean "undergrad+" or "beyond a typical HS geometry curriculum"

for the latter i'd recommend looking at evan chen's EGMO

[broken totem]

ah alright, thank you!

so hi again, folks! i'm planning to read through all of these here (hopefully within my lifetime)
would i be missing any general field?
(disclaimer: i may have miscategorized some books, so i apologize in advance if one or more are found)

[mossy flume]

not gonna look at the list but what's the point of planning all the books you want to read in a lifetime now

why not figure out what you want to look at in the near future

and as those enhance your tastes and preferences

you pick the next ones with the new perspective

[broken totem]

you're not wrong, but i prefer to have something to look forward to personally

[sage python]

I think it makes more sense to have a general outline than to try and have a super detailed list. That said, there seem to be redundancies (eg multiple calculus books that cover the same stuff). It's hard to say whether something or other is missing because you can kinda go as deep as you want into any one field

[ancient creek]

It's a good list, I would include more haha

Like MIRA or some books on the geometry and measures

You can't know which book you will have to read as you move down the list. Sometimes it makes sense to read 2 books at the same, as the information they convey overlaps and complements each other. Then you naturally find the complementary knowledge when one book struggles to give a full intuition towards it.

[broken totem]

i see. for those that are marked "yes" on the list, i already have them, so redundancies there can't be helped now
i'm using them as complementary problem sets though if that helps

[broken totem]

oh, there's not enough geometry in there? hm

i thought jacobs would be a good basic one

[ancient creek]

I can give you the list of books that I compiled

Some very nice ones too

[broken totem]

i'd be very grateful if you did

thanks in advance!

[ancient creek]

Well, you're missing some good complex analysis stuff. There are books that explanation n it visually very well and intuitevely. Like Visual Complex Analysis, complex analysis in one variable, Oka theory(multivariable complex analysis). For geometry and measures, there is MIRA by Sheldon Axler. The ones I discovered so far

[broken totem]

amann by itself is not enough, i presume?

thanks for the recommendations btw!

[hushed ocean]

is diophantus's aritmetica a good book to learn some basic stuff?

like, to have a foundation

[ancient creek]

I think amann might cover analysis more from the functional point of view more, so I find these other sources useful too

[broken totem]

i see. thank you for the insight!
i see that the author who wrote visual complex analysis also wrote visual differential geometry

do you think that would help too?

[ancient creek]

I don't have that book, considering how the first one is structured, I think it's a good read too!

[mossy fjord]

what is the best book or video to learn algebra

[cunning elk]

video
no.

just passively watching videos will not help you learn; you need to be actively practicing exercises/etc to actually retain the material

anything precollege is so oversaturated online that you’re bound to find smth that’s at least decent; try KA to start and then look around from there if that doesn’t meet your needs

[broken totem]

personally, Lial et al's College Algebra and Trigonometry, but read samples of each one online to find one that teaches you the right way

right way = a way that you understand

[broken totem]

alright, thank you very much!

[polar hearth]

what books do u recommend guys for analysis.. i think im pretty good already in calculus II (and possibly III), so, what books for the next step in analysis hehe

oh and, do u have guys recco for books for olympiad training hehe... mostly focusing on geometry so the theorems and shi, yah...

[broken totem]

Jacobs' Geometry: Seeing, Doing, Understanding

that covers most all basic stuff

[polar hearth]

how bout for analysis

[broken totem]

the one i would use is Amann and Escher, but on advice from people here i'm supplementing with Visual Complex Analysis by Needham

[polar hearth]

okay, thanks mann

[broken totem]

am not man btw hahah but welcome!

[polar hearth]

oh mb, thanks gurl hehe

[median edge]

can you upload this list on ggl and make it public access, or something similar?

[broken totem]

you can just download the list for yourself though

[median edge]

sometimes i want to access stuff when i dont have any of my own devices, hence itd be very useful for me if i could access it online.

[broken totem]

https://docs.google.com/spreadsheets/u/1/d/e/2PACX-1vQzTwJqYl9OrFk2w8yZFEZQ41WO-N3OBr5Yp3pppYtvpqV--rYng52QsRw5RinTahX8ALSdQC6sXUXy/pubhtml

[broken totem]

i use this one

https://www.amazon.com/Essential-Algorithms-Practical-Approach-Computer/dp/1119575990/ref=sr_1_1?crid=321ABDXFF8TAZ&dib=eyJ2IjoiMSJ9.AhLr8ARUchaBqGAsoRtyMR20HvKf7x9ao90gEIn6JsH5CBNb6ZKRekwi6J-PjL54Gx8JXdMzfVsYY4NjjfA8aSa_HR75eYt-B1_qEWgbshT6rSl7qWyxV_Qlsc5tyzYV.UVwxfAOm-HA9WHM2_NrjylWXAPODR7X_S3Ty0NlBiAc&dib_tag=se&keywords=essential+data+structures+and+algorithms+wiley&qid=1752831238&sprefix=essential+data+structures+and+algorithms+wiley%2Caps%2C321&sr=8-1

it says algorithms, but it does go through data structures in quite good detail too

[sly jolt]

are these in order you intend to read them, or just books you intend to read

[broken totem]

no particular order

if this was the order i'd read them i'd hit a brick wall at analysis and topology without much scaffolding first

this is the order i added them to my list more or less

[wild blaze]

What book can I read after baby rudin? Should I go to big rudin? I am wondering what are some books for my next step of analysis.

My university uses Terrence Tao analysis 2 for real analysis 2 but I am wondering if there are suggestions that they found better for higher level undergrad / lower grad

[timid lion]

you can, they are independent

[wild blaze]

I meant to ask for a book after abbot/baby rudin

Considering prerequistes and mathematical maturity

[timid lion]

oh i see

[molten gulch]

<@&268886789983436800> requesting pirated resources

[remote knoll]

@gray gazelle copyright infringement is against Discord TOS, so I need to remove this request.

Don't want the server to get hit by a tungsten rod from outer space.

[gray gazelle]

Oh, asking for products is considered a copyright? I did not know it, sorry.

[remote knoll]

well, asking is not

but anyone fulfilling the request would be.

[gray gazelle]

Understood. Sorry for causing problems here.

[remote knoll]

No problem! It's only a gentle warning.

[long zinc]

Hello guys is any one here Indian ?

[remote knoll]

several people are, but #discussion is a better place to ask.

welcome to the server.

[gray gazelle]

But can I show a trilogy collection I have with a picture or is it not allowed either?

[remote knoll]

https://discord.com/channels/268882317391429632/1379640090149650493

[long zinc]

Nah i wanted some book recommendation for jee that's why i was asking

Here

@everyone is anyone here Indian

[gray gazelle]

Thank you for the help and patience

[broken totem]

that everyone ping gave me anxiety

[daring wolf]

tfw trying to ping everyone in servers with 265k people

💀

[mortal ore]

Yeah what's up

[molten gulch]

!da2a

[hybrid sparrow]

No need to ask “Can I ask…?” or “Does anyone know about…?”—it’s faster for everyone if you just ask your question! See https://dontasktoask.com/

[long zinc]

@everyone Yeah can anybody suggest me some pcm reference books for 11th and 12th exams

[broken totem]

hey uh

might wanna be a bit careful with the everyone ping

[old elk]

I think there are more books in varieties

[broken totem]

oh i'm aware there are a lot of other books for the same topics, if that's what you meant!
this is just my personal curated list

[old elk]

You are right but there are books that break down the subject better.

[broken totem]

oh i see

could i trouble you to suggest me some for whichever topic you think is underexplained?

[remote knoll]

everyone pings do not work on this server, fortunately. Can you imagine? Every rude helpee who wants their answer now without having to work for it, they'd absolutely all would ping everyone, straight down the line. You'd get 100 mentions daily.

[broken totem]

i can see it doesn't work here, but just as a cautionary tale because some servers might have it enabled and there goes

though tbh i'm glad this server has it turned off

[cunning elk]

brb pinging the entire human population

[smoky valve]

hey guys

any reviews on Swokowski's Calculus with Analytic Geometry

[last cipher]

Are dover books worth it? I heard they often publish old books so

[normal crystal]

depends on you
if what you want is one of their reprints, it's great
they do have some new math books too

[mortal ore]

What can I say we're going global

[normal crystal]

CU Bombay

[jade pebble]

Im doing machine learning and artifical intelligence in UNI next year does anyone have like good book recommendations for mathematics and ai related stuff?

[tender river]

#serious-discussion message might be relevant

[scarlet goblet]

Would anyone be interested in having a reading partner/group for reading: Topology and modern analysis by Simmons?

[fickle whale]

Metric Affine Geometry by Snapper,Troyer supposedly supports vectorspaces over division rings

[jade pebble]

thanks!

[old elk]

The adhikari books are good but I don't know, I feel that the first book is lacking.

[brittle quarry]

5 textbooks scanned, another 400+ to go 🥲

[old elk]

has some topology, differential geometry, varieties and algebraic topology?

[true sail]

It's for you or it's part of a project?

[daring hornet]

this bird has been recently inspired to get himself properly educated after 4 years in the labor/blue collar industry. any reccomendations or guidance for getting myself kickstarted back into the game? I only got a faint semblance of algebra and geometry; though I did start reading a high school physics text book from openstax to get a feel for myself.

its kinda weird researching this stuff outside of an acedemic environment.

[remote sparrow]

to save yourself some effort, it'd be worth documenting the titles you have in a spreadsheet and then crosschecking with the internet archive or other well-known archives

[rigid trail]

Kickstarted back in math? Or what other subjects

[rigid trail]

It's pretty fun. I still feel that way even as a student in the academic world. maybe a bit of impostor syndrome

[daring hornet]

Math, physics primarily is where I've taken interest so far. I've already spent what free time i got in the shop practicing funny pemdas stuff.

theres something i've gotta break away with myself, because Im used to; and prefer, that environment where they give you the lesson, then you can go home with what homework and figure out what the heck and how to properly describe it for youself; and beyond just an equasion if possible

[rigid trail]

Physics is heavily built on calculus/differential equations, it's possible to "learn" physics memorizing algebra formulas but then you won't have any intuition for them, it'd be like they fell from the sky

So if you want a good understanding, try to work your way up to calculus. I'll let someone else suggest resources since I'm not really sure lol

[remote sparrow]

physics is fun when you treat it as a science and not merely an extension of math

[rigid trail]

I developed a bit of a sour taste for physics in high school doing ap physics c. Not that it was hard but i found it was super dry

But i'm trying to get back into physics with a more theoretical lens

[daring hornet]

just to give you an idea, i'm 23 rn, and havent done any real study since high school and done nothing above geometry.

[daring hornet]

Thank you, btw.

[rigid trail]

Yeah if you are motivated then you should be good; brush up on some algebra, learn trignometry, and you probably will already be ready to start tackling calculus

[daring hornet]

gotchya

[rigid trail]

Calculus was the first math class i found fun. it's worth it!

[cunning elk]

AP calc 💀

that test is so easy to game

[rigid trail]

I remember getting bugged that the concepts were not defined precisely enough by my teacher lmao

AP calc teacher did not define continuity besides "dont need to lift pencil"

[cunning elk]

me when AP only goes over the most trivial separable ODEs

most don’t

[remote sparrow]

not me thinking u were older than me when u said this

[cunning elk]

or if they do it’s full of handwaving

usually the actually rigorous proofs are saved for either honors level first year calc or a first course in analysis

[rigid trail]

No proofs or mention of such at all in my class, which is what bugged me (although i didn't know that was i was "missing out" on was proofs at the time)

tbf it wouldve went over my head prolly

so it probably was for the best

[cunning elk]

I was concurrently reading through AoPS calc

which is like a middle ground between a traditional computational calc text and a rigorous one like spivak, abbott, etc

my intro class used burton which is ok I guess

[willow merlin]

which book covers reflexive relations

[rigid trail]

im gonna get cooked by asm upcoming semester

[cunning elk]

anything that covers equivalence relations (so any intro analysis/algebra texts)

[remote sparrow]

u can be like zach star

[rigid trail]

tho i may switch the course bc i dunno if i can handle that 😭

i have 3 heavy math courses too

[willow merlin]

any recs, which have good exercises?

[rigid trail]

yeah i dont think i will have an issue with the difficulty, but the course is a shitton of work i hear

[cunning elk]

i have to take numerical this fall with one of the worst profs in the department 😭

[rigid trail]

i dont have that much time to spare judging from my other math courses

[remote sparrow]

https://youtube.com/@zachstar

[rigid trail]

i may take programming abstractions course instead which sounds chill, fp etc in ocaml

[remote sparrow]

@green aurora

[willow merlin]

does having a bad prof even matters?

[rigid trail]

im already goated at fp (not)

[willow merlin]

i dont get it

if the prof is bad skip his classes and self study

[remote sparrow]

electrical engineering graduate that's also a math communicator

[pulsar veldt]

Which books you guys think I should read before a graduation?😁
I only know precalc stuff and I have 2 years and a half before it

[willow merlin]

I dont even laugh at his videos anymore 😭 maybe its just a me thing

[cunning elk]

learn some analysis

[remote sparrow]

https://youtu.be/eGDtW3BZyyE

@green aurora

[cunning elk]

by what criteria is that determined

[pulsar veldt]

Shouldn't I learn calc 1st?

[willow merlin]

what does advanced standing even mean

i am not from america

[pulsar veldt]

Vc é br tbm?

[willow merlin]

look up calculus 1 ,2 ,3 in openstax, and practice in khanacademy

[willow merlin]

im from argentina, but close 😭

[pulsar veldt]

Ok

[willow merlin]

isnt that just at the first year of uni?

correct me if I am wrong, im not from america

what does advanced standing even mean

im not from the US

so you are not a dropout?

[cunning elk]

technically I’m a supersenior in terms of credits completed 😭

[rigid trail]

I'm in a US uni and idk what it is either

[willow merlin]

I dont get it

[cunning elk]

150 credits in 3 years (the graduation minimum is 128)

[willow merlin]

😭

[cunning elk]

by my calculations im gonna graduate with 188 completed

[fresh skiff]

@willow merlin i like your pfp

[willow merlin]

thanks topological afzal

:)

[rigid trail]

The way it works at my uni is just course prereqs, at least for math

[cunning elk]

i made the critical unforced error of taking intro NT 💀

[rigid trail]

And sometimes course prereqs can be waived if you have prof permission

[cunning elk]

nothing of substance was covered

[willow merlin]

interesting

[cunning elk]

one of my classmates wanted to take grad algebra

[rigid trail]

Yeah it makes sense bc honestly education isn't some rigid system when it comes to actually learning

[cunning elk]

and he likely would’ve done fine in it

but then the prof was like

“☝️🤓 no”

“undergrad algebra is a mandatory prereq”

[rigid trail]

That sounds fair tbf

[cunning elk]

I was in said undergrad alg class

shit was watered down as hell 😭

[willow merlin]

why undergrad research program, arent you an engineering major? are you planning on goinig to grad school, or are you doing your thesis?

Sorry im not from America

[cunning elk]

for engineering I’d imagine substantial projects might carry more weight?

my brother had a buncha really cool ones that made up for his poor grades

oh for grad school hmm

then disregard what i said lmao

[daring hornet]

i've got like- an easy opportunity to live rent free with my father as long as i'm going to school, but I actively choose to stay living by myself, 500 miles away, because i got friends up here... and stress myself out in the next few years anyways trying to figure out how to balance my current job and afternoon classes....

[willow merlin]

what

[mossy flume]

I didn't go out of state for my bachelors

[willow merlin]

are you trying to delay work or something

[mossy flume]

am now out of state for PhD

[willow merlin]

based

[willow merlin]

whats your phd topic?

is it that how its called?

research topic?\

leaving the state is still in USA, or you mean outside of america

what state are u in?

[cunning elk]

denial

[willow merlin]

go out of america man, is probably cheaper

[pulsar veldt]

Does Stewart's Calculus cover all calc 1, 2 and 3?

[willow merlin]

covers 1 and 2

not 3

[pulsar veldt]

Early Transcendentals

[willow merlin]

ohh maybe im wrong

let me check the first page

doesnt it say its single variable in the cover

?

[remote sparrow]

there's a few different versions floating around

[willow merlin]

i see, so it covers calc 3

thank you for the correction

[willow merlin]

i didnt know, thanks

[mossy flume]

I'm quite early into my PhD so I don't have a set topic right now

[remote sparrow]

there are chopped up versions that have only single variable or only multivariable content

[willow merlin]

is grad school hard?

[pulsar veldt]

Is the thousands of pages worth the reading? 😁
(I have time for them)

[mossy flume]

But broadly speaking I'm interested in using tools from pure math (specifically algebraic combinatorics) to show certain computational problems are hard

[mossy flume]

yes but I love math so I'm willing to put in the work

[willow merlin]

i think yes, also, try to do the exercises

[willow merlin]

are you a math phd prospect?

damn

[remote sparrow]

classes are hard when u take them regardless of where ur at

[willow merlin]

interesting

[pulsar veldt]

I guess saying "I think so" is more natural
(not a critic, just trying to help since you're not a native, like me)

[willow merlin]

true, thanks for the correction

[remote sparrow]

what kind of graduate programs are u considering

well u can do a masters or phd and obviously you need to choose what u wanna specialize in

[pulsar veldt]

In my country we can do a graduation only for teaching (not the bachelor)

[remote sparrow]

and what subject broadly do u care more about: math or engineering?

[molten gulch]

Which subfield.

[remote sparrow]

ok have u thought about what area of cs u wanna focus more on?

[rigid trail]

I'm also interested in formal verification.

Currently reading through some type theory textbooks

[remote sparrow]

at us phd programs, your first couple of years are just classes

you can use those years to figure out what u wanna write ur dissertation on

[rigid trail]

You like type theory?

[remote sparrow]

and find advisors

[rigid trail]

geuvers?

Nice i read that

Definitely a very good book

I should go back and do exercises lol, i skipped p much all of them

Some sections are tricky but i overall thought it was a very enjoyable read

It wasn't the only book i was reading though, i also was going through some others to supplement

and browsing wiki pages / forum posts etc

[remote sparrow]

mathematical logic more broadly is cool

[rigid trail]

Yeah I would also recommend logic/proof theory

Sequent calculi are super cool

[brittle quarry]

I’m doing this for a project

Making my own digital lending library

Starting with public domain texts and working my way down emailing publishers

[remote sparrow]

why make your own instead of assisting the internet archive?

[brittle quarry]

Shits and giggles and it’s specifically to honor the collection because it wasn’t originally mine

It was Henry Pollaks

[remote sparrow]

also, why not just make it available for everyone instead of artificially gating it in a digital library system?

[brittle quarry]

So the websites both a lending library and also a

[brittle quarry]

?

Legal issues?

The public domain books yeah everyone has access to all at once but textbooks which don’t fall under legal domain aren’t permitted to be distributed in that way

[remote sparrow]

you realize uploads to you-know-where are anonymous?

it's cool if u wanna help the internet archive or making them better available via legal channels, but i really do not understand making your own offshoot

[brittle quarry]

It’s a fun project?

It’s a way to specifically honor Dr. Pollak’s contribution to math education through his specific collection

Yes it can all be shoved into internet archive

But the books lose some of their value if there all of a sudden just books, even the PDFs contains history (his notes, highlights, sketches, etc)

It might not be crazy effective or popular, but there’s undoubtedly value in making the collection its own off shoot

[remote sparrow]

so what you're proposing is some kind of digital museum?

[brittle quarry]

It’s a digital museum and educational resource platform

Is the way I’d describe it

And it’s also just a project for me,

There’s a lot that I’ve had to learn in developing it and that I’m continuing to learn through making improvements

A lot of that being encryption & decryption

[native elk]

set theory stuff like models of zfc and forcing and cardinals but very very basic

[remote sparrow]

it's good ur willing to learn a lot of math, but i'd say complex and functional analysis don't have much overlap with logic even if they're worth learning

algebra and analysis are a good start

plenty of intros don't have much in the way of prereqs

[wind python]

Does anyone have book or texts on set theory

I enjoy it but i am still just starting

[somber harness]

Can anyone refer books for advanced coordinate geometry?

[somber harness]

Where to find ? Site url?

So do u have any idea

Where to find these books

@green aurora

[cunning elk]

rule #1: don’t ping individual users unprompted

not even trying to minimod here it’s just basic discord etiquette

[somber harness]

What is minimod?

[cunning elk]

what did I just SAY.

“minimodding”/“backseat modding” is when regular users for some reason think they’re responsible for being mods rather than the actual mods themselves

[somber harness]

Ok

[remote knoll]

Please don't request links or instructions for pirating books on this server. It's the sort of thing that makes Discord admins twitchy and want to press the big red "delete server" button.

[broken totem]

would tossing an online retailer link here be ok though?

like a link to amazon, abebooks, or what not

[remote knoll]

Sure, as long as you don't have an obvious financial conflict of interest and the item is requested.

[broken totem]

fair point, note taken

[remote knoll]

Mostly, we're trying to avoid scenarios like: an army of bots join, each requesting, politely, a particular book, and some other user, who is controlling these bots, is responding to the requests with an Amazon link which contains affiliate information. And this entire scheme is functioning as a guerilla advertisement scheme

[broken totem]

oh that's fair enough

[digital onyx]

Is this the 9th edition or 8th 8th is so much better

[rose hemlock]

Hello

could somebody give me a book list about mathmatics?

I am a noob in maths

[echo knot]

i don't know any math starting book except the schools one, but you can access some online ressources such as khan academy

[native elk]

not specific enough 🙂

[upper estuary]

just a short reading list for the weekend 🥱

[elder pier]

thats way too vague

😭

what topics are you studying right now?

[real sierra]

can somebody give me a book list about number theory?

[molten gulch]

9th

[digital onyx]

9th is bad Becasue for cost reasons it omitted some imaginary number and odes

[hollow peak]

unironically

this book is goated

[gray gazelle]

Is Thomas_Calculus good for High school?

[lavish radish]

never pirate or discuss piracy on discord, EVER! Pay 420 dollars for an overpriced math textbook with 69 different "editions" instead.

[long sigil]

Does anyone know of a good book on vector math?

[long sigil]

Especially don't discuss those nasty free .pdf links floating around, if they do exist, that's not our fault...

[lavish radish]

doing so could give you nasty viruses!

[daring wolf]

vector math you mean linear algebra?

[tender river]

math of epidemiology

[mossy flume]

The mods aren't necessarily anti piracy, they're anti the-server-getting-deleted-for-hosting-pirated-links

[lavish radish]

valid reasoning

[remote knoll]

I think piracy is a moral good, honestly.