book-recommendations

[fallow thunder]

yes

great taste

and im biased ik

😋😋😋

[drifting zenith]

1137 episodes watched

Male

[agile flume]

@fallow cypress [here](#serious-discussion message)

[drifting zenith]

🙏

[torn blade]

<@&268886789983436800> lock the other channels too…

[languid abyss]

Horay

[frosty steppe]

Is it possible to learn vector analysis only knowing college algebra/precalculus?

[remote sparrow]

no

actually wdym by vector analysis

[frosty steppe]

ok

understood

i have to learn calc 3 first right

that's sort of implied

[normal crystal]

how is that implied
when you explicitly say otherwise

[lament stump]

does vector analysis refer to vector calculus here

[tender river]

vector calculus but analysis

[lament stump]

havent heard this term b4 ngl
but yeah you should probably know calc 3/some linear algebra before vector calculus

[blazing holly]

Anyone have recommendations for Tensor Calculus/Differential Geometry?

[bright epoch]

Lee smooth manifolds is great

[remote sparrow]

calc 3 goes over vector calculus too

[blazing holly]

Thanks you, I will look into that now
Also if you are aware, is there any difference in notation between mathematics & physics notation when describing these structures?

[bright epoch]

It depends on the structure, but iirc Lee was pretty physicist friendly

[blazing holly]

I see
Im an applied math student but im taking a course on GR next month

Im looking for notation which actually makes sense

[frosty steppe]

"calc 3 first" relative to vector analysis

[south lantern]

Hi hi any good math history recommendations in here?

I've done the strogatz stuff but I'd love some deeper dives

[remote sparrow]

@glad prairie @timber mesa

[glad prairie]

try Hirsch Smale Devaney, Differential Equations Dynamical Systems and an Introduction to Chaos

[tribal crow]

@south lantern welcome to the mathcord!

[violet shuttle]

The physicists tend to do everything in coordinates

Also, recommendations: learn the math you need from a math textbook.

[south lantern]

Hi!

[blazing holly]

Right that’s why im looking for math textbooks
I mentioned it in another channel, but I’ll be taking GR and I really just care about the math behind it all

[violet shuttle]

So, there's Lee's Riemannian Geometry book

It's good

[near jewel]

Depends on what you want to learn. Calculus -> linear algebra -> real analysis -> complex analysis is a fun path, but if you wanted to learn something like “probability” (although it’s not pure mathematics) then discrete mathematics would be better to learn. It really depends what math you’re wanting to learn. Also, look at the math courses at your uni, what they’re called, what they’re about and its outcome.

[blazing holly]

Yeah i just downloaded it
Ill likely go smooth manifolds -> riemannian msnifolds

[violet shuttle]

Yup! That's what I did

[blazing holly]

Can you explain this further?

And how we differ from physicists in said regard

[violet shuttle]

So, if you have a manifold, you have these coordinate charts.

Just like how in linear algebra, you can choose a specific basis.

Now, often a theorem in linear algebra has a proof that uses a specific basis

e.g. "Pick a basis B, now [math math math]"

likewise in differential geometry

The physicists prefer the latter.

[solar anvil]

Best combinatorics books? Rigorous but not a slog, for self study

I’ve looked at a walk through combinatorics

[molten gulch]

Bona's walk through combi?

[solar anvil]

And it seems good, but does anyone have other books

[solar anvil]

Yah

It leans heavily into graph theory

[molten gulch]

I missed this 😭

sorry

[blazing holly]

So physicists will say something like “Pick a coord. chart B, now [math math math]”?

[violet shuttle]

Yup!

[blazing holly]

And the mathematician would continue using the “basis” terminology?

[violet shuttle]

Well frequently you can prove the theorem without ever explicitly using a basis.

I wish I had an example in e.g. linear algebra I could use

[blazing holly]

I see

I wonder what causes this different way of thinking/phrasing theorems

[violet shuttle]

Well, coordinates are less abstract. The proofs may be messier and take more computation and make it harder to know what's going on but they are conceptually more basic.

[quaint flax]

Anyone know a good book for algebra? 9th grade?

[cunning elk]

uh high school algebra is so oversaturated online that you’re bound to find something workable

[keen spade]

I'll check that ! Idk if I have full access to it but I found out they make some videos and I think I can complete it with books from the library
Thanks !

[formal solstice]

I'm looking for more resources similar to project euler for mathematics.

[wicked fractal]

Some sort of database?

[formal solstice]

maybe, I also found this: https://www.cut-the-knot.org/.

a collection or maybe database of challenges or problems like that.

[wicked fractal]

https://www.lmfdb.org/

Very useful database

[formal solstice]

thanks! I'll definitely check it out.

[wicked fractal]

It has nice data you can play around with

[manic cairn]

theres that one countwrexamples in topology page

[minor gust]

hello, Id like to start Linear Algebra is there any prerequisite that id need except the fundamentals of euclidean geometry and basic algebra manipulation ? any recources?

[drowsy sigil]

Book for basic to adv combinatorics?

[lament stump]

Mmmm
It's probably good to have a course on proofs before doing linear algebra
Not sure if euclidean geometry helps tbh

[minor gust]

what kind of proofs?

[lament stump]

Just
A general course on proof methods

Things like proof by contradiction, basic set theory, basic logic etc

[minor gust]

a so the reasoning behind these inductive , deductive , proofing methods like direct indirect

[minor gust]

ooo i dont know those 2

basic logic?

basic set theory i can go adn do wdym by logic?

[lament stump]

Tbh basic logic is basically the same as set theory

Stuff like "the opposite of A and B is not A or not B"

[minor gust]

a^-1 != A; b^-1 != A; a^-1 != b ; b^-1 != b ;w at?

[lament stump]

Ngl

[minor gust]

oh so ur syaing the opposite OF these two can Is EITher NOT A or NOT B

so

[lament stump]

I have no idea what that means

[minor gust]

its going to be either A or B?

[minor gust]

yea i dont etiher

[lament stump]

Not necessarily, it could be both not A and not B

[minor gust]

its a or tho?

oh this seesm like

that table

[lament stump]

When we say "A or B"
It means at least one of them is true, possibly both

[minor gust]

yes yes

now i get it

so it can be both

[lament stump]

Yeah

But like
Yeah
Imo you should be familiar with this stuff before doing linear algebra, cuz there are proofs

[minor gust]

noice so where hsould i get started or am i too behind to start on LA;

[minor gust]

i have no problem reading proofs

[lament stump]

Ah

[minor gust]

i dont mean in a way that i cant get stuck

[lament stump]

Tbh idk if i have any textbook recommendations lol. I haven't actually read any LA textbooks (tho i might have to soon ish)

[minor gust]

oh

u in uhh cs studies ?

[lament stump]

I have heard good ish things about linear algebra done right

[minor gust]

axler:?"

[lament stump]

Yeah

[minor gust]

im trying to understand it for like computer graphics

[lament stump]

Ah

[minor gust]

those vectors and matrices pop up everywhere

[lament stump]

Maybe that isn't the best then

[minor gust]

no but id like to

be

rigorous

[lament stump]

No im in pure mathematics lol
I didn't use a textbook for any of my linear algebra courses

[minor gust]

so im able to manipulate stuff freely on my own

[minor gust]

oah

[lament stump]

Mmm

Yeah idk I can't say much

Other than "ive heard good things about LADR"

[minor gust]

oak so ill go with that

if i get stuck then might as well go back and fill in the gaps

ty

bad things like?

i just need a book good enough to stick things to my head i dont mind being it verbose

i dont really know much but can they like be isolated and supplement from another soruce?

ook i see ur def more experiecned thn me tho so

ok so if not LA can u recommend a trig source?

low level?

low levle meaning u work with like embedded systems?

legit if u understand and do stuff and build stuff why put yourself low level

a ;-;

thats prob the funnest part about it i dont understand assembly myself cuz its irrelevant to me but seems fun

ffffss

[normal crystal]

Chipper prefers programming with punch cards following instructions he saves on his phone

[minor gust]

bru ur working with raw memory how can that not be fun

[minor gust]

aa

any trignometry soruces tho?

[normal crystal]

must be tough
a real eye strain to look at that larger screen

[cerulean violet]

LADR FOREVER who give a fuck about determinants

[minor gust]

have u done LA?

aosdoeioiw i should just get started wiht LADR

[cerulean violet]

a long time ago but yes i started with ladr even before the actual course

[last cipher]

Found these old and beautiful books in the rural areas of where I was born in the Philippines

[last cipher]

If your looking more into applicable linear algebra, I suggest "Linear Algebra and its applications" By David C. Lay. It was my first linear algebra book lol. If you are looking for a balanced theoretical-applications approach, try "Linear Algebra and Applications" by Keith Nicholson (I'm personally biased towards it because it was published by a prof at my university)

[simple trench]

Anyone has good recommendations for an introduction to econophysics ? Something that goes from the basics to advanced stuff, specifically focusing on applications to quant finance

[vital bane]

yes (real)

[simple trench]

[deep moat]

OI PHILIPPINES!!

PHILIPPINES!

PH MENTIONED!! 🇵🇭

[pine tundra]

<@&268886789983436800>

[fallow cypress]

Wait what are you reporting

[topaz silo]

There were scam screenshots

[fallow cypress]

Ah okay looks like they were already dealt with then, thanks

[worldly swallow]

Shadow slave is peak
Guys give it a try

[wary anvil]

anyone have good reccomendations for calc 4

[molten gulch]

What are the contents of your calc 4 class?

Complex analysis or differential equations

or more vector calc

[wary anvil]

differentials and vector calc

[winged herald]

I guess $\Omega$ is a fancy symbol for an interval and $\partial \Omega$ for its endpoints, so... the fundamental theorem of calculus?

[hasty eagle]

Eduardo León

[winged herald]

Isn't that normally covered in Calc 2, though?

[marsh ingot]

Stokes? I dont think so

[winged herald]

I was joking.

[marsh ingot]

Ok

[molten gulch]

FTC is introduced in calc 1, this is a massive generalization to manifolds and forms one would not encounter until a course in differential geometry

[vital bane]

You don't need a metric (geometry => metric) for this, just differential forms, one will be able to study this in any analysis on R^n course like Spivak's Calculus on Manifolds book

[winged herald]

I was joking. I know what Stokes' theorem is.

Although I feel Stokes' theorem is more differential topology than differential geometry.

[vital bane]

Just in case you weren't joking, let us recap all of analysis on R^n now

[winged herald]

lol

[violet shuttle]

ah yes, the polynomial hiearchy, my favorite country

wonder if it'll collapse sometime

[lucid reef]

Taking Calc 3 in a couple weeks🙈 What's a typical Calc 3 textbook?

[vital bane]

What kind of calc 3 course is it?

[lucid reef]

It's at a community college, if that helps

If it doesn't then I don't understand the question

[molten gulch]

Stewart is fine

[molten gulch]

In many places, multivariable calculus is taught with proofs of crucial theorems, and in others it is not

Oi proofs are amazing

[lucid reef]

Oh I see

[lucid reef]

Great thank you I have Stewart second edition and Early Transcendentals

[slate quarry]

Just out of curiosity (and lack of knowledge), what is that?

[molten gulch]

Stokes' Theorem

[slate quarry]

Thank you!

[thorn hinge]

Thanks, will also follow this book

What book is commonly used for this course

Sequences and series of functions: uniform convergence, power series. Analytic functions: power series, Cauchy's integral formula, Taylor and Laurent series. Singularities. Residue theorem and applications.

?

[molten gulch]

There's tons of good complex analysis books, pick your favourite from pins

[thorn hinge]

I haven't found complex analysis on the pinned messages 🙁

[molten gulch]

#book-recommendations message

[thorn hinge]

Should pin this one also

Thanks

[sage python]

It's already pinned, scroll down on pins right before "Math Makes Sense 5" image

[thorn hinge]

I didn't know hungeford was seen like that

[sage python]

Yeah my first impression of the book was that description

[remote sparrow]

u should update ur review of royden when u can, it's had a 5th edition for a couple years now

[thorn hinge]

I liked it for group theory, but didn't like it for Galois theory and field extensions

[sage python]

Okay yeah I found it, that person described Conway as a bad/watered-down rewrite of Ahlfors, saying it was "The Hungerford of complex analysis"

I don't know if the algebra analog of Ahlfors in this analogy is meant to be Lang or D&F

[sage python]

Tru yeah

[thorn hinge]

I'm between Stein and Schlag. I've already studied analisys on manifolds, so I don't know which would be best (in terms of pre requsites)

[winged herald]

What's the best recommendation on algebraic groups in 2025?

[stiff gyro]

is there any books to help towards the amc competitions?

[wicked fractal]

I use Milne

[sage python]

Yeah Milne seems to be the correct modern answer

The classic references were Humphreys, Borel, and Springer. I've heard less about Springer, seems Humphreys is easier than Borel?

But yeah there's this weird identity crisis in a lot of algebraic groups literature of using pre-Grothendieck vs post-Grothendieck language

[lapis sundial]

Another thing is Jantzen's book but i believe that is more advanced

Milne is great but also slightly funny with its foundations (uses max spec, so it can work over a field fine but you have to translate stuff to schemes a bit if you want to have more standard foundations)

[sage python]

Oic

[sage python]

Schlag is WAY heavier than Stein. You should probably know algebraic topology, differential topology/geometry, and measure theory and functional analysis before you even think about it

[tribal crow]

@lucid reef welcome to the mathcord c:

[wicked fractal]

Jantzen is okay

I say this only because I had to learn the things covered there for research

Otherwise it's a hard read

[lucid reef]

Thank you its so fun here

[narrow relic]

Has anyone here worked through any of Serge Lang's Undergraduate Analysis? If so, what were your impressions of it?

[winged herald]

Nope, sorry. The only books of his I have read are “Complex Analysis” and “Algebra”.

[narrow relic]

I got a cheap copy of the Undergraduate Analysis book, and the last book I was using I sort of stopped due to frustration. Thought I'd pick things up again with this one.

[narrow relic]

The last book I was using defined limits at cluster points rather than adherent points, which caused issues later on and wasted a lot of my time.

[winged herald]

Ah, I never remember which one is which. I just infer which one is needed from the situation. But maybe that's because I care more about geometry than analysis itself.

Which of course isn't going to help you if you're taking analysis.

[rose lotus]

Any good books encompassing most of algebra or the algebra needed up to the colllegiate level? I would also like a book about geometry from the basics to trig identities or more just need books to study

[wide coyote]

Any good pdf books for a rigirous exposition to Linear Algebra

?

[frozen perch]

Friedberg et al

[hidden blade]

Axler

[marsh ingot]

Some source for infinite group theory?

[limpid maple]

Okay so I got like a basic understanding of calculus, but I only get the theory. I suck at practice

So I'm looking for good calculus books that would actually help me practically use it and apply it

I'm think James Steward's Calculus

but if any of you have any other recommendations for calculus I would love to hear it

(I'm doing this for my own satisfaction btw, not in uni just yet, but would like to make decent progress)

[loud onyx]

Is there any form of literature or research papers where i can find heuristics or anything about algorithms for finding Hamiltonian paths in undirected graphs?
I tried finding something myself but it was useless

Posted this earlier today in theoretical cs, thought i might find something here too

[reef osprey]

Does anyone have any olympiad algebra book recs? I can find literally nothing except AOPS and stuff

[remote vortex]

Posting pirated content is against the rules of the server, and asking for it is discouraged as well.

[hasty linden]

yo guys let this aside we know R D SHARMA is the goat

[sterile pelican]

So I am just learning about continunity in Bloch's Real Analysis but...once I finish this book is anyone up for Duistermaat? :^)

[viral knoll]

He lowk is

[hasty linden]

lowk meaning?

[viral knoll]

Lowkey

[hasty linden]

which class you are in?

[hasty linden]

RD sharma so good if you solved without everything without looking answers go are getting more than 95/100 in boards

[lime heron]

It's a joke

[hasty linden]

we all know that for

higher level this is a joke

but for 9-10 th class its enough

[tiny gulch]

Any recommendations for introductions to Real Algebraic Geometry?

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

[mellow wren]

If I can't find good resources often I first check what resources Wikipedia cites

[tiny gulch]

there's like... 78 of those lol

[mellow wren]

There's 4 references

[tiny gulch]

oh i mixed up notes and references lol

i'll check those out

[topaz silo]

<@&268886789983436800>

[hollow epoch]

Has anyone enjoyed George Simmons "Introduction to Topology and Modern Analysis"?

[grim ore]

Maybe

[grim ore]

Is it an ug course or grad?

The course content is relatively all over the place from what I read

I assume UG, but making sure

idk

i mean, im a ug student taking grad courses

HS?? it says credit hours

Probability, J. Pitman
A First Course in Probability by Sheldon Ross

Those are two good ones

damn im just trying to help, but tbh kinda passive aggressive and idk what I did?

Alr thats good to know

nws!

[narrow relic]

It's written really well!

[normal crystal]

eh, sometimes for reviews
it seems like it kinda plateaued as a platform when Amazon bought it

2013, I know😬

[iron pulsar]

does anyone have book recs for creative and interesting applications of linear algebra or prob stats? nothing super serious, mostly to hear stories about how people apply the tools a lot.

like one of my profs did a bunch with eingenvectors for earthquake detection or something. that seems neat to me

any recs??

[latent horizon]

Heya, could someone please suggest me some resources for A level Further Mathematics (9231)? I've been referring to the textbook but it doesn't explain some concepts really well.

[normal crystal]

I don't
but I'm guessing it wasn't clear what you wanted
it sounds like you want something more like a pop math book discussing applications of LA or stats
rather than an applied math text

[iron pulsar]

yeah pop math discussing applications of LA or stats rather than an applied math text

[normal crystal]

maybe Art of Statistics/Art of Uncertainty, both by David Spiegelhalter
I've only looked and had them on saved list

[iron pulsar]

ty for the rec cl!!

[high musk]

Hey everyone, I found some interest in harmonic analysis after learning a bit about how oscillations behave (gamma functions written wrt angular velocity in dampening, and the re-expression of functions into exp()'s with real and complex parts, etc.) and am curious to learn a bit more, are there any go-to textbooks anyone here familiar with this kind of stuff could recommend?

[remote knoll]

There's a book, I don't recall what it's called off of the top of my head, but it was about how pre-medieval chinese computers did linear algebra, and the history of it.

Chinese Roots of Linear Algebra by Hart

It's an interesting read.

Practiced between the first and seventeenth centuries by anonymous and most likely illiterate adepts, fangcheng involves manipulating counting rods on a counting board. It is essentially equivalent to the solution of systems of N equations in N unknowns in modern algebra, and its practice, Hart reveals, was visual and algorithmic. Fangcheng practitioners viewed problems in two dimensions as an array of numbers across counting boards. By "cross multiplying" these, they derived solutions of systems of linear equations that are not found in ancient Greek or early European mathematics. Doing so within a column equates to Gaussian elimination, while the same operation among individual entries produces determinantal-style solutions.

[solemn rover]

What were the applications

[remote knoll]

anything that requires solving simultaneous equations.

https://en.wikipedia.org/wiki/Fangcheng_(mathematics)#On_Problem_1

for instance

[brisk rapids]

I don't know but maybe linear algebraic methods in combinatorics would be fun to look at, similarly probabilistic method for prob.

Okay nevermind it seems like this is not what you want.

[cursive rivet]

second this recommendation, fascinating book

[iron pulsar]

oh yay this sounds amazing!!

tysm for the rec!! sounds super fun!!

[sterile pelican]

If you know abstract algebra first the Berberian is a beautiful LA book

[oblique hatch]

If I want to learn about Lie groups, what’s a good source?
Humphreys Lie algebra book and like the basic concepts of what a Lie group is is basically my starting point

[marsh ingot]

Thats more algebraic/abstract point of view and Lie groups are just closed subgroups of GL. More focused in Lie algebras. For manifold pov you can try Lee Intro to Smooth Manifolds

[oblique hatch]

Lee intro to smooth manifolds is basically what I mean in terms of “basic concepts of what a Lie group is”

[gray gazelle]

hi, what are you struggling with?

out of the modules

[marsh ingot]

Since you mentioned Humphreys

[oblique hatch]

?

[marsh ingot]

You already know the basic concepts then? If Lee is not an option

[oblique hatch]

Yes

[marsh ingot]

Knapp then

[molten gulch]

Ooh this is quite exciting

[uneven ice]

Can anyone recommend any book of advanced level elementary geometry

[latent horizon]

Mainly the concepts related to statistics and matrices.
Also I really want to understand the proofs related to each topic

[molten gulch]

blitzstein and hwang Introduction to Probability, Wackerly's Mathematical Statistics

Friedberg Insel and Spence: Linear Algebra

[latent horizon]

Tysm :DD

[marsh trench]

Can anyone recommend a book for ring theory not for basics but for a mediocre level and covering the important theorems in pid ufd euclidean dedekind notherian artinian.

[loud atlas]

Ey ya well im 16 and i wanna start to learn some serious math stuff, the last thing i learned was trygonometry like sen, cos, tan, and the theorem of sen and cos so where can i start and also with which book

[molten gulch]

thomas calculus

[loud atlas]

thanks bro, any other recommendations of what i should learn?

[molten gulch]

you can also do linear algebra with friedberg insel and spence but you will need to learn how to write proofs for this book

[loud atlas]

okay

thanks

[sand path]

What’s the best way to get stronger at proof writting ? Is it simply something like hammack ?

[vital bane]

Just learn math and do lots of exercises and try proving a lot of stuff

you'll naturally get better at proof writing

Just write a lot of proofs as you learn math

you don't really need a separate book for that

[lapis sundial]

Prove it

[merry sphinx]

trivial, left as an exercise for the undergraduate

ngl i hear a lot of ppl say this, seems pretty impractical though. in terms of time i mean

i prefer copying a proof down and then doing a bunch of exercises, and trying to see if i can remember the technique of the proof or just the whole proof later, kinda like some sorta spaced repetition thing ig. although its not scheduled or anything

the thing is some books will leave certain results as exercises and whatnot so it kinda just depends on what youre reading

with major results i feel like from what ive seen if a book leaves it as an exercise theyll give so many hints it seems almost easy, which is kind of annoying (but better than just reading a proof ig)

[last cipher]

what are your guys' opinions on this treatment of Algebra? I notice that alot of authors start off imediately with groups/rings except this one. I've attached a preface that provides his justification.

Theres also this part of the preface

book: Undergraduate Algebra: A Unified Approach by Matej Bresar

[mortal ore]

i couldve sworn that group theory and ring theory are pretty damn different

[sage python]

They are but there's an amount of content that more or less gets mirrored in all the topics

In details they differ, eg for groups the kernels of homomorphisms are normal subgroups, while for rings they're ideals

But you can more or less do all the stuff that rhymes in the first week or two of the group and ring theory classes, up to first iso

[gusty star]

Nature of roots of cubic polynomial - any book where I find this topic

[vital bane]

Yeah and Rings after all are Groups with additional structure, so it's only natural you'd see similarities

[vital bane]

Plot twist: they are both just elementary NT

[modest glade]

probably not the appropriate server to ask, but anyone got any recs for textbooks on artificial intelligence? i'm not fully supportive of AI but i would like to learn more about it

[sage python]

What type of thing are you hoping to learn about AI?

How the AI models work/the underlying math vs AI and society, probably other types of angles I'm forgetting offhand

[modest glade]

how they work is what i want to learn about

[vital bane]

3b1b's video series might be a good starting point if you are referring to LLMs

[sage python]

Yeah that might be a decent overview

[timber mesa]

alternatively, do you care about e.g. elementary ML methods and problems as in https://mml-book.github.io or would you like to learn specifically about how language models work as in https://link.springer.com/book/10.1007/978-3-031-65647-7 (I've only skimmed these and the latter far less than the other)

[sage python]

The books I hear people talk about most are "Introduction to Statistical Learning" and "Elements of Statistical Learning"

[modest glade]

i nay go check that out, thanks!

[vital bane]

https://youtube.com/playlist?list=PLZHQObOWTQDNU6R1_67000Dx_ZCJB-3pi&si=8wmC6I_QH9HG_gP8

[modest glade]

i know almost nothing about AI. so i'm not even sure what exactly in specific i want to learn. i guess just a general overview on AI as a whole (specifically how it works, the technicals if you will lol)

[sage python]

Though they might go deeper than what you're thinking of if your angle is more just hoping to get a general idea of how things work for "culture"

This is prob the book people recommend for people who wanna start working in the stuff

[modest glade]

i'll check these out as well, thank you!

[timber mesa]

then an introduction to neural networks specifically might be worth reading, while it is true you can understand them more broadly from the lens of statistical learning as dami suggests the specific architectures or techniques that consumer AI products leverage are basically all variants of neural networks

I only know of like, very technical references for those though

[modest glade]

nothing introductory really?

[timber mesa]

3b1b's videos are good, but I don't know of something in book format

[timber mesa]

I'm thinking stuff like these notes https://arxiv.org/abs/2407.18384

[modest glade]

alright i think i'll start with 3b1b's videos as they seem the most accessible (his videos usually are), then i'll check out dami's suggested books

[timber mesa]

ah okay dami's recs have some things about deep learning guess it's fine

ye

that's a good plan

[normal crystal]

https://aima.cs.berkeley.edu

[sly mason]

What are some tips for 7th grade math

[shadow scroll]

Are there any rigorous books on multivariable calculus/analysis books that use tools from linear algebra (e.g. second-order derivatives and quadratic forms)

[sterile pelican]

There is Duistermaat's Multidimensional Real Analysis volumes 1 & 2 I haven't read them yet but requires real analysis and linear algebra

[remote sparrow]

hubbard and shifrin do not assume prior knowledge of linear algebra, but rather teach it as you go

they are both good and rigorous books

edwards' Advanced Calculus of Several Variables, munkres' Analysis on Manifolds, spivak's Calculus on Manifolds, and zorich's Mathematical Analysis II are other choices that assume linear algebra background

[hidden blade]

Try "Artificial Intelligence A Modern Approach" by Russell and Norvig. Pretty descent overview of AIs in general. At least, the older editions. Do not know about the recent one, but judging on the table of content and preface there is a bit of bias toward the ML, reflecting the current trends

[full pier]

Is the sentential logic section of endertons mathematical introduction to logic worth going through?

[eternal shard]

Hi! Recently, I've been studying non-autonomous parabolic problems and, as a consquence, the non-autonomous version of semigroups, evolution operators, has appeared. I'm very interested in how resolvent estimates and fractional powers work in this new setting. Do you have some nice references to study these topics?

Thank you very much!!

[sterile pelican]

Hey Sour have you read Duistermaat before though?

Just curious of your input really

I own the books, yes bad choice since I didn't finish Bloch yet, but I only took sneak peaks on it :^)

[willow geyser]

Does anyone know from where I can buy the Abbott RA book

I don’t want a digital version tho*

[near jewel]

From bookshop website?

[willow geyser]

Yea ik but yk not every website is trustworthy

I thought some1 would have a fav website or sum

[near jewel]

Just do some reaserch, or you could just buy at you uni.

[hidden blade]

Amazon is usually fine

[willow geyser]

I found a website
Amazon’s shipping prices is higher than what I wanna buy anyway

Thanks tho

[hidden blade]

what's the site, btw?

[willow geyser]

Barnes and noble

[molten gulch]

B&N is a very commonly used bookseller in the US

we go there a few times a year in person sometimes

[willow geyser]

Ooh cool

I’ve browsed through the website they have so many genres and diversity I’m loving it

[cloud imp]

I always shop at either AbeBooks or Thriftbooks

https://www.abebooks.com/servlet/BookDetailsPL?bi=32091823613&dest=usa&ref_=ps_ggl_11147913055&cm_mmc=ggl-_-US_Shopp_Textbook-_-product_id=COM9781493950263USED-_-keyword=&gad_source=1&gad_campaignid=11147913055&gclid=CjwKCAjwwNbEBhBpEiwAFYLtGPFN9NUN0pEkndHff8wlD7UOtOUlpIFo8gjhzvBym_pDvW1vx8U1sxoCXmcQAvD_BwE

https://www.thriftbooks.com/w/understanding-analysis_stephen-abbott/322239/item/44903543/?utm_source=google&utm_medium=cpc&utm_campaign=shopping_new_condition_books_high_14637440387&utm_adgroup=&utm_term=&utm_content=545822004371&gad_source=1&gad_campaignid=14637440387&gclid=CjwKCAjwwNbEBhBpEiwAFYLtGJZdyOAE3I2MUxD-AYX32HUJ7E-O4kChMcGfq8C1u8EmPBVV3cf09hoCGFEQAvD_BwE#idiq=44903543&edition=14765343

Especially Thriftbooks as all of the used books I bought were both way cheaper than the brand new edition and still in great condition

I have had a similar experience with AbeBooks, and it looks like there's a $20 used copy you can get over paying the full $44-48

[willow geyser]

Yea I’m kinda hesitant about getting used ones

[willow geyser]

Yea

[cloud imp]

They do give a description of the used books

Like what condition, I think there's one that's "good as new" for $29.97

I trust their condition descriptions, but regardless they are a reliable seller from my experience

[ornate jewel]

Could someone explain to me why people still buy printed textbooks when it’s possible to find and download practically any textbook online?

[tiny gulch]

i bought a copy of "Category Theory in Context" so that I could get Emily Riehl to sign it :)

[willow geyser]

Alright thanks

[willow geyser]

For me personally I dont enjoy learning from a screen

Yup

And I love collecting books

[topaz silo]

get enough screentime as it is

and the feel of a real book is smtg the screen will just never give for me personally

im ok with spending a bit more for physical copies

[vital bane]

Just print the PDFs

You can have someone bind them into hard cover books

for much cheaper

[topaz silo]

It's almost the same cost for printer paper, binding and ink

why 😭

[vital bane]

It will not cost 20 dollars lmfao

[topaz silo]

ah ig for people in the us it might make a significant difference

here books are cheaper

[hasty yarrow]

Hi everyone, can anyone recommend a really good book for linear algebra? I searched the internet but I didn't find anything that would fit, it's mostly just the matrices I covered!

[vital bane]

Where are you from?

[topaz silo]

india

[vital bane]

Is your name telugu?

[topaz silo]

kannada

[vital bane]

Ah

they look similar

[vital bane]

Same

and printing is still cheaper

[topaz silo]

but not significantly

[vital bane]

Uhhh it depends on how you go about printing them

[topaz silo]

I guess, I've never tried it

[vital bane]

Returning book to a library?

L

You mean

3 billion?

🗣️ 🔥

It's nice but like

You have to return it

Which isi fine for half the books

but the other half are books so good that you just need to get a copy

Munkres, D&F, Abbott 🗣️ 🔥

Skill issue

jk

Also

Based books

Skill issue

😔

Discipline issue

[topaz silo]

return to analysis arc

your arc is almost a circle by now

😭

[vital bane]

You will finish your PhD in subpluriharmonic functions on infinite dimensional manifolds before I finish Abbott

[topaz silo]

(jk)

[vital bane]

I actually have 2 analysis arcs now and 1 topology arc and 2 algebra arcs (master's degree)

#1397223478762930337

#1396847317533065216

[topaz silo]

oh, pog

i thought you did more physics

[vital bane]

You will do PhD after working for 10 years and getting tired of working 🗿

[vital bane]

I want to

But yeah I wanna do a PhD in physics

Real 🗣️ 🔥 🔥 🔥

At the theory department

(not as a janitor )

Okay enough chit chat, time to lock in and grind

Probably, yes

and then anal on R^n

I need to become both 🗣️ 🔥

[ornate jewel]

I also use my iPad to read and solve exercises from the textbook, and it works quite well for me in the end.

[merry sphinx]

didnt have to violate bro like that

[merry sphinx]

good will hunting arc when

[remote sparrow]

no

[remote sparrow]

you can order from springer, but i'd only recommend that if there's an ongoing sale

[teal owl]

any recs for an intro to differential equations? ive done primarly calc 1, 2, and 3 (all applied), along with abstract linear algebra. im looking for a more gentle intro, sort of like an extension of stewart calculus into the realm of DEs. It should cover these topics (can ignore the 2nd one as I already have a good knowledge on linalg) as a bare minimum

[remote sparrow]

boyce and diprima

u need the version with boundary value problems

[brazen token]

differential equations w/ boundary value problems by polking, boggess and arnold is pretty good

it also expands intuitively into part 8 talking about the heat and wave eq and boundary problems

[teal owl]

hmm thank you guys! ill check both out

[vital bane]

reverse good will hunting arc, idiot math student pretends to be janitor (he's not pretending 💀 )

[willow geyser]

Yea there isnt a sale on this one ty tho

[hearty steppe]

Haven’t heard of this before and I remember when I scoured around for proofs books a couple years ago.

https://www.math.cmu.edu/~jmackey/151_128/bws_book.pdf

[foggy quest]

"Introduction to Differential Equations" here: https://mtaylor.web.unc.edu/notes/math-524-second-semester-ode/

[pliant axle]

I loved this ngl

It’s the first/second real math textbook I read other than “go math!” (By McGraw-Hill). I think I always had them primarily in primary and secondary school. Anyone else remember them? (Sorry for being outa context)

[outer terrace]

Hello, I want to apologize in advance if this is the wrong channel, but does anyone have a book (or resource) recommendation that is easily accessible for learning Calculus 2? I took and passed a Calculus 1 course in university already

[cunning elk]

whatever text you used for calc 1 likely also covers calc 2

[outer terrace]

Well it was some temporary online thing for university, I don't necessarily believe I have access to it anymore

Like we buy it for just a semester

[cunning elk]

icic

well there are a wealth of resources online

paul's online math notes has a ton of worked examples, openstax has a buncha free online textbooks for it, etc

[peak bluff]

I am looking for a book on olympiad combinatorics which is around the difficulty of the first few questions of the IMO shortlist on combinatorics (C1, C2, C3 about there), any recommendations? I would like a book with problems as well as explained examples. Thanks in advance

[outer terrace]

pauls online math notes? ill have to check that out

[short flume]

hi guys currently i'm trying to study for a exam here in Brazil called ITA, do you guys have any book recomendations?

can't translate the image with google lens cuz librewolf doesnt allow me to use HTML5 canvas in google.com lmao

[molten gulch]

thomas calculus or stewart calculus

[outer terrace]

Thank you!

[frosty steppe]

Can you go through How To Prove It with Precalculus knowledge?

Just for fun really on the side

And to develop my mathematical reasoning

[molten gulch]

probably

[sturdy shore]

surely yes

[sterile pelican]

Calculus isn't needed really

[gilded turtle]

can anyone suggest me a resource to learn functions and functional equations better

I am having a lot of troubles in solving functional equations

And a book or resource on euclidean geometry as a prerequisite for EGMO book

[lime vessel]

<discord.gg/mods> is probably a better place

[sonic vessel]

if you are talking about comp math FEs, you just spam solve problems in AOPS

IMO books are useless for competitions, you have to grind problems

[viral knoll]

THERES A SERVER

DAMN

[lime vessel]

Depends on subject

[torpid gust]

is undesratnding analysis by stephen abbott a good intro to real analysis?

[molten gulch]

yes

[torpid gust]

thank you

[vital bane]

It's literally the best intro analysis book of all time 🗣️ 🔥 🔥 🔥

[torpid gust]

thats good to know, i saw it on reddit so i had to ask here

[tardy geyser]

Hi, can you recommend any book for geometry and trigonometry at intermediate to advanced level?

[gusty star]

Sl loney

[remote sparrow]

https://www.amazon.com/Measure-Properties-Functions-Textbooks-Mathematics-dp-103294644X/dp/103294644X

there is a new edition of this book

@trail hemlock

[manic cairn]

evan chen’s EGMO seems standard for competition euclidean geometry

[tardy geyser]

If I work through this book, will I be prepared for the Math Olympiad problems? I'm from Poland. The Polish Math Olympiad website has problems from recent years, specifically those from the second stage?

[storm tusk]

i feel like going through some of those questions and seeing what you get stuck on and checking the solns, then seeing if the theorems/ideas used in that solution appear in EGMO is a good way to confirm this

plus, it would be personalized since it's about what you don't know

it's possible that EGMO won't cover some more entry-level material that you don't know, and we wouldn't be able to comment on that

[wild blaze]

has anyone paid for quizlet + for the textbook solutions? I can never find the evens in the book

[pine finch]

Any recommendations on advanced complex analysis/harmonic analysis for physics grad? thanks ahead

[remote sparrow]

@naive lava @sturdy shore

[remote sparrow]

advanced complex analysis? is there a syllabus or course description you could share?

[pine finch]

not really im just into it

I wanna understand more of it

And i did like a basic complex analysis course already and i did all the other basic math

[remote sparrow]

what did that course cover?

were you assigned a textbook?

[pine finch]

until analytic continuation

[pine finch]

math methods by hobson

and 20% precent were coverd by my prof

the other 20%

So we studied the whole thing there he gave us extra material that we studied and we finished in the analytic continuation

[remote sparrow]

are you comfortable with analysis more generally though? like manipulating inequalities and applying common estimates

[pine finch]

can u show me an example?

I did some real analysis

Amm we studied harmonic analysis

from hobson awell

s*

and thats it

I did calc as most of the physics major

s*

[remote sparrow]

from a different book than hobson presumably?

[pine finch]

yea

understanding analysis

this was the book

i had a course in it

[remote sparrow]

ok good

[cunning elk]

evens are usually saved for the “teachers edition”

also why would one pay for quizlet

[remote sparrow]

you can look at gamelin. skim through until you find something unfamiliar. there are graduate-level topics in the second half @pine finch. other books you can consult are conway and greene-krantz

[pine finch]

ok thanks what abt complex made simple?

Is it good enough aswell?

[remote sparrow]

if you're confident enough sure

it's a bit short on problems but the exposition is nice

[pine finch]

I see

Ty mate

[remote sparrow]

https://www.amazon.com/Introduction-Module-Theory-Graduate-Mathematics/dp/0198904908

this book was released a few months ago

[vital bane]

0

just like me

But he buys 12 books per year 🗿

[remote sparrow]

12 is quite an undercount

more than what is financially sensible

i mean i get an allowance and i always try to look for deals or use lulu

if it were really about being a collector, i would buy official copies

a good chunk of my collection now consists of unofficial copies printed with lulu

i like owning books

i treat my books very carefully

a personal library is more convenient than going to one

also there's like, a checkout limit normally

[surreal crow]

https://zenodo.org/records/16784261

Guys I have a theory.. will anyone check that out, please ignore some glitches, refrences and code are glitched. I'll give you here if u want...

[pale mica]

this aint no book

[real marsh]

Wrong channel

[slender wasp]

yeah, but I used it for months free. I'm not sure if that was a glitch or it is allowed, but there is at least a free trial period. I eventually paid the annual fee.

[old elk]

I don't know which book to buy, so I'll leave it at that.

Rudin's Analysis or
Tao's Analysis

[remote sparrow]

you're a grad student right?

rudin

[shadow scroll]

I am reading Lang's Undergraduate Algebra however his presentation may be a bit too "efficient" in a way that he does not bother with smaller properties or lemams, so are there other books that are more comprehensive? Dummit and Foote?

[remote sparrow]

yeah dummit and foote is good

here's some other choices: #book-recommendations message

[timid lion]

what is this sticker, some kind of isomorphism theorem?

[tender river]

metalninjas greatest moment

http://ramanujan.math.trinity.edu/rdaileda/teach/s23/m3362/isothm.pdf its a theorem in group theory, often called the first isomorphism theorem

and there are likewise results in a bunch of other places, for example there is a linear algebra version

[vital bane]

In general you have this isomorphisim theorem for a universal algebra

[manic cairn]

undergraduate algebra is a nostalgic book for me
first real math book

[tender river]

https://juliapoo.github.io/mathematics/2022/12/15/homomorphism-illustrated.html#first-isomorphism-theorem

[manic cairn]

have these really ugly proofs in tiny handwriting from that book

like comically tiny handwriting

[timid lion]

i was making a joke, i know what it is. however thanks for the links, they are some cool examples

[manic cairn]

4 rows fit in one section of a college ruled notebook

[timid lion]

i have always seen chinese remainder theorem talked about

[tender river]

for anyone interested in the lore behind the sticker #math-discussion message

[last cipher]

Is it worth it 🌚

Or is this an impulse buy

[civic python]

Do you think you’ll use it?

[vital bane]

No

just get the PDF and get it printed 🗿

It'll be 10x cheaper

[frigid hatch]

Any book for elementary maths at primary and secondary level

Well then any youtube channel to get my basics strong

Like trigonometry, coordinate geometry,algebra,and other

[last cipher]

Adobe?

[wet sentinel]

just read my username and then you know what to do

[normal crystal]

be born on July 23rd

[viscid sky]

So guys, can you give me a recommended matrix book?

[visual stirrup]

At what level ?

Concerning what ?

Do you have basis in linear algebra ?

[sleek laurel]

is matahamatics on machine learning a good book

and can someone please mention the prerequisite for the book pattern recognition by bishop

[viscid sky]

College, in the next semester I will, it would be better if I prepare from this semester break

[visual stirrup]

Well in this case I advise you to learn about the bases of linear algebra (vector spaces, finite dimension, etc...) and then the matrixes will be easier to understand

[viscid sky]

You have a recomendation yt channel?

[visual stirrup]

https://youtu.be/QIu4EgHlGcI?si=_xd5rxv0ocPeZWpV

This channel is really good, it is in french but maybe it will be ok with subtitles

[viscid sky]

Nice bro thanks, appreciate that

[visual stirrup]

You're welcome

[balmy bronze]

i am entering grade 11 and i want to study calculus so is there any advices or books are preferred or videos on youtube

[worldly pendant]

Buy book, read book, solve questions

[visual stirrup]

First, study sequences, then continuity, differentiability, convexity, multiple differentiability and then integration

I think it is the most logic order

[balmy bronze]

i studied at my school precalc and limits

[visual stirrup]

Ok then you can skip the sequences

[old elk]

I'm preparing for my master's degree.

[balmy bronze]

i dont want to buy book is there books virtually in pdf

[molten gulch]

<@&268886789983436800> user is naming piracy websites

[remote knoll]

@visual stirrup please don't share piracy websites.

[visual stirrup]

Ok sorry

[remote knoll]

Nothing personal, just that's a good way for the server to get in trouble with Discord and shut down

[visual stirrup]

Yeah ok I see

Sorry X)

[muted talon]

What is the opinion here on the Open Stax books in math? Are they good? Not very good...?

[grave lintel]

i used the calc 3 one for a class, it was ok

[muted talon]

Ok, I feel I should've asked a different question

[wet sentinel]

the way you are listing this sounds more like recommending analysis rather than calc

[muted talon]

I am interested in a few topics in math. I'm looking to enroll in a Applied Math master's or doctorate in two years or so. I am a CS major. I've had some calculus and linear algebra. Looking at some of the program's entrance exams, I've seen they typically have linear algebra, advanced calculus, complex variables, differential equations, linear algebra, probability and discrete mathematics. What are good recommendations for those topics?

I'm not looking to delve too deep on the theory side of things, unless that's how applied math works. Do those programs delve as deep in the theory as pure math programmes?

[gusty star]

Thomas Finney
Anton Bivens And Davis

if you already know Alzebra , Trigonometry, Sequence and series , Relation Function, Sets , Logrithm

[near jewel]

You could take a look at amazon first.

[old elk]

I agree with the stranger.

[static vortex]

Anyone know of any good books for getting into studying math from a beginner level?

[molten gulch]

Abbott's understanding analysis, artin's algebra, friedberg insel and spence's linear algebra

Assuming by beginner you mean proof based mathematics

[wind dragon]

Hi, does anyone know of any dutch books about linear algebra? English would also be ok, but my english is not that advanced.

[static vortex]

Well, I have knowledge up to high school, might have to redo a pre-algebra course and some other courses

Was thinking of picking up this to start, I did the diagnostic test for it an scored 22/26 on the first try, which says that 'im ready' for this book

[molten gulch]

Friedberg insel and spence is good for an english LA book

[near jewel]

Try finding linear algebra courses in countries that speak dutch (Netherlands and Belgium), and see if they use a local textbook.

[old elk]

10/10

[torn blade]

is this a few book?

[old elk]

Yes, it's short and to the point, and it has exercises for someone who is just getting started. The title doesn't mislead you.

[torn blade]

new*

typo

[merry sphinx]

nice to see a non yellow

[remote sparrow]

what's that supposed to mean 🤨

https://tenor.com/view/rock-one-eyebrow-raised-rock-staring-the-rock-gif-22113367

you got a problem with yellow?

[tardy geyser]

I like yellow

I have yellow t-shirt right now

🐈

[wet sentinel]

maybe something along these lines

[timid lion]

the 18th isomorphism theorem

[grave flume]

Hey everyone!! Suggest some practice books for Combinatorics (college level).

[rich sun]

a compact introduction

[shadow scroll]

Recommend me books on order theory and lattice theory (assume background in set theory)

[solemn rover]

Domain theory is used in programming language semantics.

There are lots of books. I don't have a recommendation. The original paper "Continuous Lattices" by Scott is pleasant to read. But there are more modern books

https://www.cs.ox.ac.uk/files/298/handbook.pdf

[glass creek]

Could someone recommend a book for module theory (can be advanced)?

[glass creek]

Thanks, but I'm rather looking for a graduate text

[glass creek]

Thank you!

[full cairn]

Here's a recent book on module theory, dunno how good it is though

[balmy bronze]

i will start my journey to study calculus 1 is Stewart 7e calculus good book to study from it

[old elk]

Yes!

[verbal phoenix]

has anyone read proof and refutations by lakatos? if so how complex was it and how good was it, also is it a well known book?

[remote sparrow]

#book-recommendations message

[gusty star]

Anton and thomas is better

[balmy bronze]

ok i will check it out

[ancient creek]

Thanks for sharing the reminder here🔥

[sand path]

Are Jech and Enderton the only viable options for undergraduate Set theory ? Jech looks precise but dry so I may go Enderton.

[solemn rover]

this is a graduate text.

[tribal crow]

@balmy bronze welcome to the mathcord c:

[broken cosmos]

does anyone know any author that explains similar to tristan needham? Im currently reading VCA by him and i really like how he was explaining most of the thing visually and giving a really good intuition so it would be really cool to know if there are other authors like him that explain in a similar way

(the message turned out longer than i expected o-o)

[marble solar]

A visual introduction to differential forms and calculus on manifolds is one that comes up on a quick search; as does Analysis by its history

[remote sparrow]

goldrei

but all three are good if by jech you mean hrbacek and jech

[foggy gorge]

I'd love suggestions on plane geometry book that focuses more on building some intuition?

[grim ore]

im always afraid to ask what is plane geometry in context

what plane are we talking about, as this is a common question I see and I dont see any roles on you @foggy gorge

[foggy gorge]

Hmm

[grim ore]

Are you in HS by chance?

[foggy gorge]

I thought there was only one plane geometry out there 😭

[foggy gorge]

I'd say I'm studying geometry on that level, yea

Buuut, I want to study to learn it, I'm self studying math

[grim ore]

Alright no worries! Someone else knowledgable about HS Geometry should be able to help, just wanted to make sure it wasnt something else im more familiar with

[foggy gorge]

I've taken some plane geometry books but for some reason I'm failing to get the intuition on it

I tried taking a book focused on math olympiads problem solving, but it's so painful wasting half a day on one page 😭

[delicate mountain]

I would like to read an introductory book on number theory. I am reading Tao's Analysis I where he remarks that Euclid's division lemma (for any natural numbers n and d =/= 0 there exist unique natural numbers q and r such that r < d and n = qd + r) is an important basic result in the field of number theory which is a "deep and beautiful subject".

My knowledge: not much... my reasoning skills are okay

So undergrad level? The kind of book a real motivated highschooler could learn from

[remote sparrow]

#book-recommendations message

[maiden creek]

is there anything that i can use to get started for ap stats a free rescoure or book

[normal crystal]

Open intro stats

[tribal steeple]

What is a nice book to graph theory from mathematics perspective

[tribal crow]

I've heard good things about Diestel, though I've never read it myself

[molten gulch]

Diestel, Bondy and Murty

[pulsar veldt]

I need Analytic Geometry book recommendations

At an introductory level

[old elk]

The book is clean and concise

[vital bane]

Same

[timid lion]

what the helly

[timid lion]

destiel?

[tender river]

you cant ask for pdfs here delete this

[broken cosmos]

Thank uu

[marsh ingot]

We dont do that here

[fluid violet]

It is against the rules to ask for this here.

I recommend deleting your message before someone calls da fuzz

[steel cloud]

Thank you

[molten gulch]

<@&268886789983436800> requesting pirated resources

[zealous coyote]

We cannot allow discussion of piracy on this server as it may lead to it being shut down by discord. I apologise.

I'm going to remove your message for now, sorry.

[vital bane]

"I'm going to remove you from this mortal plane for now, sorry."

[steel cloud]

What are the pre-requisite for reading k - theory ?

[molten gulch]

Algebraic topology

[daring wolf]

K-theory? alg K-theory or topological K-theory?

[steel cloud]

it is alg K- theory

[daring wolf]

alg K-theory? probably you need to know about schemes (algebraic geometry) or some homological algebra/algebraic topology*(important ones) tools if i remember correctly

[steel cloud]

I see

Thank you

[young thorn]

hi i need some recommendation

[young thorn]

bruh

confused between artin and d&f

[pale geode]

https://math.stackexchange.com/questions/1425961/comparing-artin-with-dummit-and-foote-algebra-text

[mint fiber]

could anyone pls give me the name of a good book for an intro to probability and/or statistics? im not that good at math but i wanna learn

[wanton solstice]

AoPS, Introduction to Counting and Probability

[mint fiber]

thx a lot

[slow roost]

his final books (The Passenger / Stella Maris) have Grothendieck as an important character

it should have just been one long book, reading one of them and not the other makes little sense

great stuff

[tribal crow]

@wanton solstice @mint fiber welcome to the mathcord

[worthy kindle]

honestly tho it’s a good book

[jovial parrot]

Interesting seeing you here

[worthy kindle]

how

[jovial parrot]

No I mean

No that’s not what I mean

I was just looking at blood meridian and I wanted to ping you

[worthy kindle]

let’s try and keep this channel on topic please.

[jovial parrot]

Myb 💀

[worthy kindle]

i’ll be forced to ping moderators if i notice another infraction.

[jovial parrot]

Girl alr

[worthy kindle]

please respect my pronouns

[jovial parrot]

Boy alr*

[wary nacelle]

What are some nice books on inequalities? I need them for contest math mainly. I'm currently reading Mathematical Inequalities by Vasile Cirtoaje (which has 8 volumes) and liking it, are there other ones like that?

[fossil lava]

Can anyone recommend a topology book for me?

I have some prior experience in topology from multivariable analysis. (additionally i already studied rigorous real analysis books,..)

Ideally I’d want a book that is very rigorous but nevertheless also gives the reader a good intuition about the topic.

Thank you!

[viral knoll]

Topology without tears by s morris

Or The james munkres book

imo morris is a good starter

[fossil lava]

thank you:) will look into that

[queen lantern]

I'm looking for a textbook for a second course in linear algebra. I've read Hoffman and Axler are good, but which one should I go with?

[vestal osprey]

Does Geometric Measure Theory contain Whitney's Geometric Integration Theory?

By GMT I mean Federer

Or contempories in sets of finite perimiter and so on

[wet sentinel]

what does everyone think about lang's complex analysis?

is it usually classified as "must avoid" like baby rudin ?

[daring wolf]

this is actually one of the exercise in Serge Lang's complex analysis (See (c))

[wet sentinel]

trying to repeat the story of the unsolved stat problems, isnt he

[wet sentinel]

I mean look at this, it is from his "undergraduate algebra" book

but aside from these, is it a good book to study from?

[foggy quest]

"Real Analysis: Modern Techniques and Their Applications" by Folland

[molten gulch]

Munkres - Toology

[fossil lava]

thanks:), currently started with topology eithout tears but will probably give munkres a try as well once university starts again and i can get it from the library

[molten gulch]

I would suggest checking the name of the book in the search o this channel when dozens of people have inevitably asked the same question as you have

[viral knoll]

Lang will ask to generalise and prove it on exercise (d)

[peak bronze]

is there type theory for programmers? Mostly i'd like to abuse algebraic type systems to absolute max. and learn some math along the way.

Hopefully not too many pre-requisites.

[fluid violet]

Have you read Pierce?

Types and Programming Languages

[peak bronze]

nope, will check it out.

[echo elm]

I’d like a book that gives insight about functions generally, like properties: bijection injection and surjection etc…

[tender river]

https://stitz-zeager.com/szprecalculus07042013.pdf
https://realnotcomplex.com/basics/precalculus

[echo elm]

Thanks

[stoic mauve]

Any books you guys recommend for trig, I’m trying to get ahead before doing precal.

[molten gulch]

Same books pika mentioned right above your message work fine

Don't call me bro

but either way, you're welcome

[mild pasture]

bruh

[molten gulch]

What is this meant to imply

[mild pasture]

absolutely nothing besides that you didn't specify bruh and i am writting specifications at this exact second thus poking at irony you would not understand as you are not living my life experience

[topaz silo]

[spring marsh]

What book to start math from the start

[near jewel]

What do you mean? Like the absolute beginning of math? Counting?

[little coral]

what are the~~ best~~ books of complex analysis for undergrads?

[molten gulch]

Stein and shakarchi is good, freitag and busam is good, both assume a prior course in single variable real analysis

If you only have a calculus background, brown and churchill's complex variables book is better

[wraith cave]

…any 1st grade elementary school day planner

[foggy quest]

https://mtaylor.web.unc.edu/notes/complex-analysis-course/

[daring wolf]

hartshorne (jk)

[violet shuttle]

Honestly I am unironically for innocently putting open problems in the textbooks.

In the solutions section, you can put "This is an open problem, known as 'X'. If you managed to actually solve it, we would all love to know"

[frozen perch]

Would definitely be fun to get another George Dantzig

[vital bane]

It's too basic

[daring wolf]

so EGA and SGA?

[vital bane]

They should start with EGA

[daring wolf]

lmfaooo

[vital bane]

(in russian)

[wicked fractal]

Another Perelman

[vital chasm]

Unironically Tamara Lakins'"The Tools of Mathematical Reasoning" is what my university uses for the intro course and its adequate for the purposes of doing math for the first time

[hexed rose]

Calculus

[stiff storm]

what diff eq book should i use? my unis syllabus uses zill's diff eq book. im studying mech eng and we'll be having a class on odes (covering higher order odes, laplace transform and such)
ideally something similar in terms of vibes to stewarts early transcendental for calc since it felt more digestible compared to others

[remote sparrow]

zill's book is fine

[stiff storm]

alr

[remote sparrow]

a similar book is boyce and diprima

[stiff storm]

hmm alr ill check it out

[unique stirrup]

you guys should read Hollywood Daughter

its epic.

[misty plaza]

anybody have free legal math textbook resources online? currently in grade 9 with an interest for electrical engineering but im on the weaker side of maths atm so im willing to work on that

[past dust]

What are the differences between stewart calculus and thomas calculus?

[normal crystal]

mostly style and tone

[past dust]

And should i do spivak calculus after thomas/stewart or before ?

[winter horizon]

What book should I prefer for JEE advanced

[timid lion]

after

[mellow pewter]

Any math book with pictures, if it only got text and a solid
cover...RUN

[pale geode]

I need a light-weight joyous introduction to representation theory

[past dust]

Thanks
What are the differences between apostol and spivak calculus?

[gusty star]

🧐 cengage lelo

[winter horizon]

Voto calculus vaala almost krdiya h solve maine

Bacha hua krduga

[molten gulch]

yahaan angreezi main baat karo

(speak in english here)

[winter horizon]

My friend replied in other language so I did too 🙂

[molten gulch]

Doesn't matter, english only here

[winter horizon]

😑 sure

[gusty star]

JA ka pyq karo, kali , gulabi , hari bengni kitab sab kar dalo

[molten gulch]

you too

[gusty star]

What is your problem?

[outer lichen]

Wait is this like books related to math or any books? I was gonna recommend some fiction but I’m not sure if this is the channel for it

[gusty star]

Math only

[normal crystal]

it's for any books

[outer lichen]

Ohhh

[gusty star]

🫠i thought this is math server so only maths book recommended here 📖

[normal crystal]

you can read the channel description
and the rules

[outer lichen]

If so then I recommend anything that Holly Jackson writes (love her smmm) but i ESPECIALLY recommend “five survive” it’s one of the best books I’ve ever read, it’s a 300 something pages long well paced thriller that I think anyone would enjoy

[normal crystal]

it's a more ask for recommendations channel
but dropping a recommendation is fine

[outer lichen]

Oop

Hehe mb

[normal crystal]

no, it's fine, just letting you know

[past dust]

What are the differences between apostol and spivak calculus?

[hollow drum]

The only rep theory books I’d recommend are Fulton or etingof

[winter horizon]

Thike bro

[storm tusk]

when people are referrign to stewarts calculus, is that "Single varialbe caluculs: early transcendentals">

[molten gulch]

single or the version with single and multi

[storm tusk]

prob single and multi -- it's the one i keep seeing thrown around for GRE subject test prep

[foggy quest]

This one: https://mtaylor.web.unc.edu/notes/lie-groups-and-representation-theory/

[pale geode]

both of yall are appreciated

[tribal crow]

@outer lichen welcome to the mathcord!

[solemn rover]

I learned out of boyce and diprima, later tennenbaum and pollard

[outer lichen]

Hehe thank you! I came here to learn math in English since I’m so used to it being in Arabic and my school will start teaching English math soon -w-

• I just love math

[remote sparrow]

?

[solemn rover]

i feel the same way. imagine not having the axiom schema of induction. couldn't be me

[tough shadow]

Your color is pee

[remote sparrow]

was this meant for #foundations or were you talking about robinson arithmetic?

[solemn rover]

this was meant to be a humorous comment about robinson arithmetic

[remote sparrow]

no clue about that book

[past dust]

What are the differences between apostol and spivak calculus books?

[trail hemlock]

question as old as time

[remote sparrow]

apostol does integration first and is drier stylistically, more in the style of a traditional math book

apostol does end up covering more in volume ii

spivak does all the stuff on least upper bounds and such before following a traditional calculus ordering

however, the book only does single variable analysis

either is good, but spivak is a lot cheaper

though that doesn't mean spivak is cheap per se, his book still costs about $100

i suggest buying a used copy anyway

[past dust]

Thanks i think i will go with spivak then as i’m not familiar with rigorous math and stuff

[remote sparrow]

spivak definitely has harder problems, but there's solutions to some problems in the back and a solution manual for problems not solved in the back

[sand path]

Anyone used The Four Pillars of Geometry by John Stillwell ? Would like a decent enough exposure to geometry to use Coxeter’s Introduction to Geometry

[bright epoch]

what are some of the must-read texts in mathematical statistics after Vershynin

[remote sparrow]

is the problem that you can't de-drm those books anymore?

<@&268886789983436800> mr. beast scam

[past dust]

Would with the guidance drom following the solution manual help for someone to do spivak if they are not used to rigorous math?

[remote sparrow]

it would help, but i'd advise trying to figure out whether your own solutions are correct before consulting it

https://web.archive.org/web/20240707012040/http://alpha.math.uga.edu/~pete/MATH2400F11.html

there are also notes following the book

https://web.archive.org/web/20201226123614/http://math.uga.edu/~pete/2400FULL.pdf

mr beast scammer eliminated

[foggy quest]

This pair for semiparametric inference: https://link.springer.com/book/10.1007/978-0-387-74978-5 for good examples but many typos, and https://link.springer.com/book/10.1007/978-3-031-29040-4 for the more technical groundwork

[foggy quest]

This book for MLE consistency and asymptotic normality on finite dimensional parameter space: https://link.springer.com/book/10.1007/978-1-4899-0027-2

[bright epoch]

ty!

[vestal plover]

https://www.amazon.com.au/Real-Analysis-Modern-Techniques-Applications/dp/0471317160

This or Royden?

[grim ore]

omg a pete clark reference

I wish I can take another class with him, hasnt taught ug since my last intro to proofs class 4 years ago, but hes teaching a complex class this sem

[remote sparrow]

https://fixvx.com/bugbugbugg/status/1955642478532743662?s=46

bug✨ceo of cole nation (@bugbugbugg)

okay well i’ll have to think about this one

vxTwitter / fixvx · Aug 13, 2025, 2:47 PM

[frigid frigate]

Which is a good book to start in calculus?

[vestal plover]

Not really

[vestal plover]

https://www.amazon.com.au/Real-Analysis-Modern-Techniques-Applications/dp/0471317160

[frigid frigate]

ty

[molten gulch]

That is NOT a book for calculus

[remote sparrow]

that's not a calculus book

@frigid frigate

[molten gulch]

try Thomas' Calculus with Early Transcendentals or Stewart's book of the same name

If you want some theory and proofs try Spivak's Calculus or Apostol's Calculus

[frigid frigate]

oh

[molten gulch]

And if you really want to get into analysis, try Abbott's Understanding analysis and THEN you can do Folland's book mentioned above

[frigid frigate]

okay thanks, in what order i must study

like

first limits

?

[molten gulch]

Just open thomas or stewart

they have everything in order

[frigid frigate]

ok ty

[remote sparrow]

https://old.maa.org/press/maa-reviews/a-tour-of-representation-theory

[tribal crow]

@frigid frigate welcome to the mathcord

[frigid frigate]

ty!

[gusty star]

🐸

[vestal plover]

I was trolling

[grave lintel]

i love understanding analysis

i wish every textbook could be written so well

[wary nacelle]

Can someone please send me the pdf of "Inequalities with Beautiful Solutions - Vasile Cirtoaje, Vo Quoc Ba Can"? Thanks

[past dust]

What is the difference between thomas calculus and thomas calculus early transcendentals?

[cunning elk]

it's in the title: one covers transcendental functions such as trig, log/exp earlier than the other

some texts will wait until they've defined and covered the basics of both differentiation and integration before introducing log/exp and their derivatives/integrals

others will do that "early" ie with the rest of the elementary funcs

[past dust]

Would it matter to do which one ?

[cunning elk]

not particularly

[past dust]

For analysis what order of books should i go through? I have heard ted tao book is good for getting the fundamental and then you can go do abott’s understanding analysis

[cunning elk]

tao should be fairly self contained no?

[wicked fractal]

Tao is ok

[cunning elk]

for introductory analysis you'd probably be using a number of texts concurrently if anything

[wicked fractal]

Yeah

From what I've seen Tao takes a while to get to the main point

I honestly don't know. I just read Rudin and it was fine

[past dust]

How would it be ? Like you read the same topic over couple of books ?

[wicked fractal]

Yes

Get different exposures on the same topic

[past dust]

What book order would be good for reading analysis concurrently ?

[cunning elk]

"concurrently" means there isn't a set order

[past dust]

Well it would have an order ?
Like first working through a topic on understanding analysis by abbot then real analysis pugh or something like that

[cunning elk]

which one you pick to start with doesn't really matter

[cinder sundial]

People i am new here

I want suggestions about math

Like what should i study

I know higher secondary school level math

Where should i start further math..

[cinder sundial]

Ok will read this

[errant adder]

yall, i need a book to learn intutively about transformers like jacobians and stuff. any recommendations?

[molten gulch]

<@&268886789983436800>

[remote knoll]

Please do not solicit pirated materials.

[remote knoll]

There is a time and place for hilarious gags. But that place is not in #book-recommendations

[vagrant oak]

Hello!
I am looking for a book suggestions for an intro to stochastic processes course. The prof (unfortunately) does lecture slides and only recommends one book in the course page (Probability and Random Processes: by Grimmett and Stirzaker). I was hoping for some other recommendations. Here is the course content

[sturdy lintel]

Rick Durret’s Probability: theory and examples would probably cover most of the content and you could supplement that with Karlene and Taylor’s first course in stochastic processes

[vagrant oak]

Do you have any experience with Grimmett?

[sturdy lintel]

Yes, my first undergrad course in probability was loosely based on it

[vagrant oak]

Ah okay can you recommend it?
I am looking at a very cheap physical copy and I am going to flip through the digital before making a decision

[sturdy lintel]

I found it very readable and intuitive and there are plenty of exercises which is a plus. It does kind of speed up a bit at the end tho

[vagrant oak]

Ah I see that sounds good! Thank you so much for your insight

[sturdy lintel]

One thing I forgot to add is that being able to skim the content is pretty helpful because it’s a bit wordy at times and there is a lot you might not find interesting or worth reading

[deft creek]

I am a 14 years old student. Any book recommendations for basic trigonometry and calculus?

[molten gulch]

thomas calculus

[gusty star]

Sl loney for Trigonometry

[deft creek]

Thanks

[dreamy linden]

Reading this. I think it's pretty good

The concepts and abstract part of the book may not be the best (I found Einstein's explanation on concepts more fundamental). But the math is solid and easy to follow

[past dust]

Is thomas calculus more rigorous than stewart?

[molten gulch]

they're about the same