#book-recommendations
1 messages · Page 81 of 1
???
TEACH MEASURE THEORY PLZ
i wanna measure stuff 💔 💔
I WANNA MEASURE STUFFFFFFFFFFFFFFFFFFFFF
I have not done any measure theory, nor any analysis beyond what you already know
WE CAN MEASURE STUFF TOGETHER
hate to break it to you lol
🥹

wait what
allow me to clarify: i mean sets
uhh, let's move out of here
obby
yes. He did
You call upon me?
Oh hi Grass.
I was telling Blackbeard if he wanna know more about Schroeder then Grass knows about it. I guess you have studied it right?
Yes, up to the second chapter on Riemann Integration
not very far into that chapter yet though
Catbread read up till part 2 but stopped
Finnegan's wake
Oh I see. I am on second last chapter of Abbott (6th I am not counting 8th one since it is optional lol)
Today I looked in Schroeder maybe I try it.
did you know? this James Joyce novel has been adapted into a cartoon entitled "Adventure Time"
he's famous in the pde field
Complex analysis?
Recs for a first course in real analysis?
did you checked out tao, abbott, pugh or bartle for real anal
you might find this pinned message useful
#book-recommendations message
Thank you
Which one of these would be the most beginner friendly?
abbott then tao I think
Ross is another very gentle introduction to analysis
Is this legal? All these books for free
well being as that it was published on the author's offical website, i think its ok
moreover, i think these may just be lecture notes and not actual published books
I believe most of them are published as books by now, but the content of the books is the same as the notes
Oh I didn't know it's the author's site
Thabk you
Why brazilian
anybody know what's a good resource on hilbert modular forms?
good book for ap calculus bc ?
im taking it next year and i want to get ahead during summer
i want to do some wider reading on maths, particularly stats before starting a-levels, any recommendations?
Larson's Calculus Ap edition is pretty standard
its filled with practice problems
all odd-numbered exercises answer are at :
https://www.calcchat.com
CalcChat.com is a moderated chat forum that provides interactive calculus help, calculus solutions, college algebra solutions, precalculus solutions and more.
you can find it online pretty easily, including on archive org
ty so much bro
do Carmo is brazilian
Has anyone read Spivak II (Calculus on Manifolds), if I have experience with linear algebra, topology, mvc, and diffeq can i read it? I know what lim and sup are from a proofs and topology class, but I will be taking an actually rudin level exposition concurrently to when i want to read differential geometry
Hey there! I'm reading Calculus on Manifolds at this very moment! Your background should be more than sufficient!
I've only got basic analysis knowledge at the level of Spivak's Calculus, and linear algebra at the level of FIS.
so far, the book has been manageable
so with your preparation, you should be solid
That's quite more analysis background than me
right now, but I'll try it
ehh, if you've done topology you should be fine via math maturity haha
If you've done topology why not go for Lee's smooth manifolds?
His prereq is just topology
Can i get some measure theory recommendations?
folland is good if a bit dense
is that the with applications book?
yea this guy:
I sense that I'm not going to like it
what are you criteria, what don't you like about folland
the cover looks ugly
Literally judging a book by its cover
a friend of mine had the 1st edition which had a much more neutral cover (similar to rudin's PMA)
but also presumably less content
pick your poison
how do i share an image?
no access
Try Axler's. It's friendly.
"Annoying choice of notation and proofs, and shallow presentation of materials
Maybe the author's intention is to make the materials more accessible to students, but the presentation of the materials will leave you unsatisfied. It doesn't convey the deeper part of the theory. Also most proofs don't read smoothly, and the choice of notation is quite annoying. I found that I can't read it. Maybe the author tried too hard to be just different from the existing books, say, Folland.
Some of the exercises are nice though."
Bass Real Analysis for Graduate Students is good
That or Folland probably. Or maybe Big Rudin
can you guys give some explanation for the recommendations you are giving?
Bass compliments nicely with Axlers as well
I gave a review of measure theory books in pins where I chat about them a bit
I should update the Royden one since apparently a 5th edition has come out
Like you should know proof-based single variable calculus
i know some proof based calculus up until differntiation
but haven't studied riemman integral
i also know some metric space topology / completness/conectedness/compactness
do you mean i should know as knowing the content or maturity( whatever that means)
Both, but if you also know that then you don't need Royden. Royden kinda does the metric space stuff as it goes
I've heard of it, namely that it's similar to Stein-Shakarchi 3
Makes sense, he was his doctoral student after all.
One last question. You seem to try to make a point about whether starting with general measures vs lebesgue, could you expand a little bit on that?
Some books kinda only talk about Lebesgue measure on R or R^n, and maybe toward the end say oh now let's define a measure space etc etc
Those who stand by that say oh it's more concrete
But really a lot of these theorems about R^n don't use any of the specifics about R^n, it's just a fact about set systems etc
And I think it's, first more efficient to present things in general right away instead of doing it for Lebesgue and saying "Oh so these generalize, these don't, these with a hypothesis"
Just kind of a mess really. Second I think it's good conceptually/cognitively to know that hey, this fact is about a general measure, so I know that its proof won't be referencing topology at all
Oh this is for Radon measures? Okay so I definitely need to be using the Radon-ness somehow
ok. Thank you very much.
whick books gives solved examples of first order exact diff eqs
most mainstream differential equations books i'd say
easiest diffeqbook?
This book isn't easy, but it is nice and has some solved examples: https://mtaylor.web.unc.edu/wp-content/uploads/sites/16915/2020/10/diffeq.pdf
bro are you michael taylor?
I always see you recommending books by MT
I just wanted to ask
I will take a look at it . ty
Oh.. this is the same guy who wrote that well known series of 3 books on partial differential equations
it is!
I like Evans Gariepy as it starts quite generally, however there are no exercises and lots of details are left out, but it goes quite deep
royden analysis section 3 is also good, but it doesn't start "de novo"
No exercises? Crazy.
it is
Dang I got no Pic perms
Was going to post my amazon order
post it in #chill and link it
W books?
Hey guys! Can anyone please help me decide in between Serge Lang's "A second course in calculus" https://archive.org/details/secondcourseinca00lang/page/n5/mode/2up and Michael Corral's "Vector Calculus" http://www.mecmath.net/VectorCalculus.pdf
for an intro to multivariable calculus.
I've read Short calculus by Serge Lang for single variable calculus and I like it
Helllooo
So I was looking at this
Real and Functional Analysis: 142 (Graduate Texts in Mathematics) https://amzn.in/d/0awWLGeN
This book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Anal ysis. I assume that the reader is acquainted with notions of uniform con ver...
And wondering if it will be useful for me
Thing is while I do have a FA Book, it assumes I am comfortable with Measure stuff
Same goes for my Fourier analysis book
Which kinda puts me in a troubled spot ig
I used this.
How was it?
P good
Made me buy his book on complex analysis
That one was p good too
second course of calculus is actually the second edition of this book
Idts
P good means?
Pretty good
I think it is
ah okay
This has extra stuff
The several variables one?
Ye
What's Steven roman's advanced linear algebra all about? Is it worth reading?
Also, a reco for a challenging introduction into algebraic topology?
It's for a first look but I wanna challenge myself.
Not a book that pointlessly makes things sound difficult
But rather covers stuff that requires effort to get through but is worthwhile the effort.
see this post by Dami
#book-recommendations message
Omg thank you so much !
This is great
which book covers integral test of convergence for series
Most calc books I'd wager
prolly Stewart's
any source for taylor series?
Any book that covers multivariable calculus but pretty quick. I'm more interested in the calculations than the theory in this case.
Or whatever is useful for a first course of classical differential geometry
also read a standard calculus textbook
Will that help for a course
Based on Do'carmos blue book
?
School i'm applying for the course ( is online) told me that calc 3 was the only prerequisite
who knows a good book on probability
Has anyone tried rudins functional ?
at what level
beghiner
yea, i worked through chapters 1-4 last summer
ross, a first course in probability is pretty good
ok i will get that
Oh nice how was it I did some work in folland and kreyszig and found both had some downsides
What did you like / dislike I know principles of analysis had some annoying exercises
i liked it pretty well, the treatment is fairly general, he does topological vector spaces at the start
i found the exercises (at least the ones i attempted) were not excessively hard if you understood the chapter material
the chapters were fairly dense and i found it helpful to write out more detailed proofs of most of the theorems
Thanks this is really useful info I appreciate it !
Do you know if they go very deep into reproducing kernel hilbert spaces by chance ?
he only touches on hilbert spaces a bit, mainly for examples
i think he assumes you've read at least the first half of his previous book real and complex analysis, which has a full chapter on hilbert spaces
(for that matter, it's also helpful if you have read his treatment of banach spaces from RACA)
Alright cool thanks !
do carmo's book says he expects some linear algebra background, but i'm sure your instructor would be mindful of that
theres a book for this exact purpose! its called baby rudin
I mean, technically that book does start from the beginning
has anyone ever read No Bullshit Guide to Maths & Physics, I was thinking about purchasing it & I wanted your review
& also need a good book for calculus
I am taking calculus 3 (multivariable) soon. I wanted to know the best book for this type of course. I want the book to be more advanced than the course itself. I want the book to give many tough test questions so I do not have any surprises on the final exam.
Hi guys I want to learn proof writing but im newbie, should I pick one of this books like how to prove it, or should I start with something else (next year I will be starting uni, and I know the basics of calculus ) unsure which book to pick please ping with reply
see this message and the one below it
#book-recommendations message
which book for university algebra is best
like groups/rings/modules/fields?
sure
hm, I don't have a recommendation yet
no abstract algebra recs?
check out this post from Dami
#book-recommendations message
some users here like Pinter too
I will check them out, thx
what about books for calculus
this is what we used in our proofs course
what about my book
how much rigour are you looking for?
stewart, thomas, spivak
thank you i will check it out aswell
@jaunty cedar just an fyi, Stewart and Thomas aren't too rigourous, while Spivak is
pick your poison
I am taking calculus 3 for engineers (multivariable) soon. I wanted to know the best book for this type of course. I want the book to be more advanced than the course itself. I want the book to give many tough test questions so I do not have any surprises on the final exam.
embed perms are only given to users with the Active role or higher(!), or who have boosted the server
if you want to post GIFs, you can use #chill
i don’t think bro likes rudin
many people do not, to be fair
How to prove it is great IMO to start off and have it introduced in isolation and get you thinking in the right way.
After that, it's common for undergrad real analysis and undergrad abstract algebra textbooks to be theme introduction to proof writing. That's where you actually get your exposure and practice.
Anything in Dami's pin is good. You can use the search function in this channel and search "Pinter" "Jacobson" "Aluffi" etc to see the past conversations about each individual textbook. It's a weekly topic in here and there's many opinions and viewpoints for each one.
combinatorics is a gentler intro to proofs imo 🤓
Abstract algebra is applied combinatorics
Fuck you
real
How evil
He is taking cal for engineers
Just get the vector calculus book by Colley
went to the library earlier and found out that they had a copy of "calculus with analytic geometry" by simmons, so i immediately borrowed it. i'm planning to start learning calculus because it seems interesting and i'm pretty confident with my precalc stuff, so is this book good?
only thing that i'm not as confident in is analytic geometry since we didn't discuss it in class but i self-studied it and the book has analytic geometry in it
i'd imagine it's at least better than st*wart
maybe not a book but does anyone have any videos or smth that just explains maths notation, like from simple to complex notation
I am in final year of highschool and I want to learn linear algebra for fun whats a good book to gain good conceptual understanding and basics of linear algebra
maybe something similar to calculus made easy by S. Thompson
My uni course followed Linear Algebra by Friedberg, Insel and Spence (FIS). I think it is an easy book to self-study from. Also gilbert strang’s linear algebra lectures on yt is a great resource too
how long would each chapter in Gallian's book take to read? my goal is to read only part 2 (groups) and i plan to spend somewhere between 20~25 hours per week on it.
Gallian chapters don't seem that long, so I would probably place my bets on smth like 2 weeks?
it seems they're absolutely loaded with examples though
Idk it looks like I could finish a chapter per week but wanna hear from ppl who’ve read the book too so I can make a reasonable plan
Gallian is very easy
It's so impossible to know how long anyone will take to read a chapter of any book. I'd say to just set some goals, see how it goes, update based on observations as things play out.
What book will be the suitable for reference for Carothers and rudin?
Maybe Tao
Uh... Pugh, Tao, any of the vast amount of analysis books
I feel like if you're already thinking of references though, maybe consider another book? I've never quite understood planning to go through Rudin with the expectation that you won't be able to understand the book
Oh yeah! well I thinking reference as a book which contains fairly same amount of topics but with more explanation and problems (but well rudin has many hard timing giving problems)
Right. My question is, why not just go through the book that is easier to understand for you, instead of Rudin? They have the same topics, after all.
Everyone has different taste for books. Just pick up the book and see how it goes for you. If you feel right then continue otherwise try a different book.
the instructor is using Rudin, thats why I have to study it
Oh, that's a great reason
haha
Sorry, I assume people here are generally asking for self-study
I hear that Pugh's Real Mathematical Analysis is a good companion to Rudin.
Agreed.
That's totally fine.
Btw thank you guys!
me too
Elementary Number Theroy by Burton seems like a nicely paced book for a total beginner
@tender river
Thank you
There's complementary notes to Rudin on the web
Try those out
Rudin is a pain in the arse
A better analysis book would be the one by Amann
Metric spaces are better dealt by Simmons, or Searcóid (more hand holding)
Yeah I will try to find some 
isn't annoying, atleast in the starting? almost first 100 pages contains various things including Abstract alg
A more rounded study of analysis at least
just only read the algebra parts as they come up in the analysis section then lol
most of the algebra section is a definition dump
Agreed!! Well I have pdf of Amann, isn't there big issue if I start from Ch2 ( will study ch1 when I needed)
there are mentions of algebra homomorphisms and ideals in the ch2
Yeah also looks horrible Amann has covered a lot of topics of algebra 
but you dont use that for any thing
Only need to look at the definitions and see that this other thing satisfies those definitions
I am familiar with homomorphism (of groups).
Thank You guys!
I will try to use Amann as supplement. (I have heard good comments on Amann so it will be exciting to work with it)
best calculus books ?
for university , i finished high school and i’ll study computer engineer so i want to be prepared
Something more theory and abstract, FIS as recommended above, something more modern and more computational with tons of exercises, Elementary Linear Algebra by Howard Anton
what level of rigor are you looking for ? that is, more computations or more proofs ?
for more proofs or more rigor, there are:
- Spivak's Calculus
- Apostol's Calculus: Volume 1
- MacCluer's Honors Calculus
- Lang's A first course in Calculus
for more computations, any book on this list should suffice:
https://www.amazon.com/shop/themathsorcerer/list/SKD9TCJQOZAI
especially Klien's Calculus: An intuitive and physical approach since its pretty cheap and filled with practice problems (its thick as hell)
Shop recommended products from The Math Sorcerer's Lair on www.amazon.com. Learn more about The Math Sorcerer's Lair's favorite products.
please note that these are amazon affiliate links, so The Math Sorcerer will make a small percent of the purchase.
whats the best to start
whats your background with math?
how i can tell u
it’s wide
im from spain
meaning, what are you looking to learn?
proofs and theory or more computation focused
computer engineering is based on electrical engineering and computer science
so mathematics that would help me in that
if the former, choose a rigorous book. if the latter, chose from the amazon page
yeah i cant tell you what book will be absolutely perfect for your specific use case.
go for Stewart's Calculus, and see where that gets you
its the classic choice for a lot of people
thanks brother
so in math we have linear algebra , calculus and what more
is to get the fundamental math books
#book-recommendations message
look at Dami's reviews of Linear Algebra books to make a choice
thanks
Do you want text in English or en español?
english books are considered better so i’d rather prefer them
Those are mostly all like pure math/abstract type of texts, which is fine, but there's also tons of regular non-math major linear algebra texts too
oh i have a good one
wait
this is the one my local community college uses
very non math majory
Spivak's calculus textbook is in both English and Spanish.
It's more rigorous, more for people who study pure-math, but perfectly great for anyone else like computer science, engineering, physics, etc. Great textbook to really learn. You'll need to find another book for Linear Algebra though.
Howard Anton has two textbooks, one called Calculus and one called Elementary Linear Algebra. You can pick any edition in the last 30 years, they're all the same. Those two textbooks will teach you Calculus and Linear Algebra and are geared towards people like engineers and other science degrees who need to be able to do a lot of computations. It's by the same author so you'll be able to learn both topics from a single source.
guys one question , is a smart move buy the books that are being taught with in elite unuversities ??
im gonna read it
im meaning harvard , stanford …
I mean there's not that many textbooks... there's only a few to pick from.
it’s a decent idea to look a syllabi for uni courses, look at their descriptions and topics covered, and if the approach seems appealing to you, check out the book they use
I think both of those schools have their own in-house text they use for their own classes, they teach it a certain way, but they're not better
2 + 2 = 4 regardless of the textbook, but popular textbooks will have resources and answers online or in this Discord server. If you picl a textbook not many people use then you'll have less help.
okay thanks all 3
Yeah, that's partly why I chose to study out of Axler's LADR. I know I can find answers and help easily
Granted... most of the material at that level is shared between books
Does anyone know some books on real analysis that are good for introductory couses?
The universities being prestigious doesn't make the books they use any better
thank you akhi
Thank you
LA books, like algebraic geometry, can never be enough
Misquoting on purpose, I think it was Lang who claimed that one can write endlessly on elliptic curves
you definitely can, even with crypto alone
not me currently writing LA notes lol
I've read a lot, to realize that LADR + Golan + Greub is the best combo one can hope to complete during their undergrad
Which is annoying, because all three of them have nothing to say about modules
Blyth does a good job introducing them, however the algebraic prerequisites creep in later on
Do modules qualify as linear algebra?
I feel like that’s just proper algebra at that point
Or second
i wanna do advanced linalg
At least in my view, “linear algebra” refers to the especially nice theory of vector spaces
what do you mean by advanced?
I have a personal hatred for matrix computational first courses in LA, it was pathetic having to calculate the RREFS and inverses and whatnot of 5x5 matrices
I scored a B. Hated it
agreed
erm akchually im scared of it rn
Roman is actually good
Tried it
A bit too terse
But supplement it with Blyth's notes
i think im gonna focus on analysis atm
This world would've been beautiful if everyone started with rings first
I’ve been trying to write some LA notes developing as much as possible without mentioning matrices at all
Oooh whatchu reading up on?
Axler 2.0
Rudin 💀 😭
its good 😭
Well
bro my chem teacher got soo mad i was reading rudin during class
That's fucking based
(prob the reason i nearly got a B in chem
)
wait till bro learns abt arti
Who's arti
👀
agreed, the computational parts of LA are pretty boring
Anyone read 1Q84?
Why does 1984 get mentioned so much in this server?
we have a sticker for it
Roman devotes a few chapters to it
that's not the book he asked about though
Oh you're right. I thought it was a typo
(it's still related to the year 1984)
Because we're living it 
Are you not doing Yeh? 
yeh no
someone told me to branch out and learn more math before tackling measure theory
and my proofs are nowhere near good enough to advance
That's fair actually
so im moving sideways and getting more maturity
before i move to more advanced stuff
After Rudin jump into this 
What u want
😭
Hi
Why tho
Of all the texts you could've picked up
learn algebra and gain maturity
what is your algebra background
i dont wanna do measure theory unless i can appreciate it from a lot of different perspectives
yk
at least, thast what someone told me
and so i was like alright
Dude, measure theory doesn't need algebra
lang's LA
Pick a different book lol
and thast it 😬
It needs analysis, at most
Try Aluffi or DF
Yep, that's fair
in arti we trust
Lang writes terrible books
DF is the classical choice for abs alg, no?
@molten mason
you can always go for Jacobson
With SL(2, R) being the only exception
DF is one classical choice, yes
Yeah but Aluffi is more fun imo
are they about equal in difficulty?
I recommend Aluffi's notes from the underground, from the little I've read
D&F has more standard exercises
It's easier than chapter 0
Aluffi has category theory
It's well written, but easier
That itself might take time to digest
i want some interesting exercises
It also covers less, if I remember correctly
@trail hemlock
not like rudin but interesting
Aluffi then, dummy has routine problems
i think ily
what're our thoughts on Jacobson I and II?
WDYM BLEAK
This is a question I'd ask Miz
its a compliment smfh
Interesting read
The only worrisome bit being the inverse notation
You need (or, technically, should have) a first exposure to analysis for measure stuff, but you don't need algebra
Don't think I've heard about this
Otherwise, it's a good replacement to Hungerford and Lang (heck, i think it's toe to toe against Bourbaki)
thoughts on knapp?
What did Jacobson do with inverse notation
its for maturity. my proof writing is not near the level that I want it to be
This is fair
Yeah, he uses the left to right notation for group multiplication
Composition to be precise
also, to my understanding, algebra is fun. ill do it in parallel with Tao 2
Ew
Exactly
knapp is kinda weird imo, at parts I think it is great but he has a weird sense of what to spend time detailing
also he could get better at latex tbh
Knapp is Artin on steroids
also, knapp is also grad level
I tried a printed copy of Knapp and god fucking dammit the text had the tiniest letters
oh, artin is another good one
ok gimme the final word on an abs alg book with interesting exercises that isnt too easy or simple
Do more analysis instead
Aluffi
yeah, his latex is smol
Jacobson
my algebra is super weak tho... i wanna learn more algebra
Bourbaki
Rotman is cool too
Lmao
I think aluffi's underground book or artin are the best choices I've seen
its fine, ill pick a book closure to when i actually learn the subject lmfao
doesnt matter rn
well, you will have to pick
there is rarely one good math book to choose especially topics at a ug level
At the cost of rigor
Try to find books that deal with intuition; algebra texts are notorious for not being intuitive
@prime dune tell him about Jacobson
We all have different opinions. Welcome to the world
bro calling for reinforcements
Lmao
@violet shuttle tell him about Lang
what can you do this is a pedestrian server with some pedestrian reccs...
LMAO I read that in the pins
classic
idr if he left immediately but he did stop typing
what happened
His message is directly referencing Lang's Algebra too lmfao
who?
ah, right
Wait a second
Am i tripping or that person wrote the same thing about Lang as me
That's a sick coincidence
😭
Why were you talking about me...
Lol
Oh, he mentioned someone in highschool
Oh, me?
I checked a few past msgs and i was genuinely impressed
proof that you aren't pedestrian
Yep
I mean it's a common opinion in this server
To be fair this server has a strong slant towards Lang!
does it?
I swear I see Lang recommended every other day
I don't feel that vibe at all lol
There's only like 4 of us
They're all salagos or his disciples
From the same 4 people 
The Salagi
Lang shill role
Lang shill would be good
A bit terse and a bit fast paced but rewarding exercises and some proofs are really nice. In particular his guided proofs are great
I only see his algebra book mentioned often enough and opinions about it are a mixed bag
okay now say the same thing to the person that needs to hear that
ill do jackobson
no awuffi 🥺
Let's be real, he'll probably change his mind again, he still has a little while to go
Amukh core
Might drop the idea of studying algebra completely
I think Blackbeard will eventually settle on Artin once he sees that it covers linear algebra as well
Lmao
alr did lang la no need
How far are you in that book?
That's why I buy physical bools, so then I cant change my mind 
thirds way done
That's 2/3rds that could be covered by Artin...
yall are bad people
Lmao 😭
confusing me smh
Child, do bourbaki and all shall be good with you
😭
Do Lang and be better than arti
I do stuff that's better than algebra though 
Honestly if you read all of lang you would probably be better at algebra than me
honestly though I'm always for books with more exposition and examples if you're self studying, or whichever books have a lot of online support, which doesn't sound like Artin or Jacobson
Yeah I would've said either Gallian or D&F
D&F 💀
Pinter is best for someone that hasn't really done pure math before imo
If you have some maturity I think there are better options
I like Gallian because there's answers in the back of the book
idt thats possible
ehh i have some maturity i jus wanna get that shit up
maturity maxx, if you will
lang
assuming you found D&F too easy
no nono
and are mathematically mature
intro to abs alg
and don't mind the "interesting exercises" part as much
yes, Lang's Algebra is an introduction
Anything is intro if you're based enough
i've been tweaking longer than you've been alive
anyway the point is to build maturity, seeing as when I start doing abs alg, i will have finished lang's LA
Iirc in Algebra he states a good pre-req is his LA book lol
He also has an undergrad algebra text
and i will probably be like halfway done with big jech if it really matters
Are you working on mod p local Langlands by any chance?
Ah yes
i wanna learn the fun stuff perchance
Can't post media here but there's a funny exchange between Ribet and Lang
anyway unless its way out of my league, i think ill stick with this
Specific emphasis on determinants 
perhaps in parallel with folland


the prereq for measure theory, according to rudin, is chapters 1-7 of baby rudin
Nope
Dive into measure theory
Learn the lebesgue integral first
Study the Riemann integral as a special case

🙂
u opp
April 15 1707
Is this math?
does this justify a modping
No
Blackbeard is just even younger thab me
Does this have anything to do with book recommendations
You're all old
best book for nt?
What kind
elementary nt
Your roles include rep and diff geo so i assumed
the number kind arti
arti you are what? 1 year younger than me
Oh damn you're right
2?
MONT
but ur like 10 years ahead
i dont wanna hear it from you
if anything ur older than me
grandpa
Landau is nice
yeah my point being that i have not been tweaking in that direction for long enough to get close
I'm curious, what do u work in?
Is langlands the goal?
Braid groups?
no
Xela is an undergrad
I work in thumb twiddling
🤓 ☝️ this is not related to the discussion of books
So am I but that shouldn't stop anyone
While the postdoc tries to make the thing work
Portal to #math-discussion
Zoom-
#math-discussion message
What are these
Oh they're discussion channels
and unlike some servers, we don't seem to have a way to automatically create portals like this upon innovation of a bot command
tyvm sir
It does look nifty at a glance
It's good to me
I'm reading it right now, as we type
You can do a bit of functional without much measure theory
the other FA book i have assumes measure theory knowledge
The main thing about measure theory is that it gives the example of L^p spaces
But my undergrad analysis class did functional first and just stuck to l^p spaces
do u think axler's measure theory book could cover whatever i need for FA
bcz i kinda like the FA book i alr have
dont wanna spend 4k more
Our book (we didn't follow it too closely but still) was "Elements of Functional Analysis" by Kolmogorov-Fomin
this doesnt even sell here where i live 😭
Unfortunate
I don't know enough to know if this book will cover 100% of what I need or if I'll need to go through another FA book later, but this textbook is written with only requiring undergrad real analysis knowledge as a background, so if you've already done any real analysis text you'll be fine
this one i have
is functional analysis, sobolev spaces and partial diff eqs by Haim Brezis
Ah Brezis
Yeah grad functional uses that
And I referenced undergrad functional a bit
If you already have Brezis then I'll say just find a measure theory book
Try "Real Analysis for Graduate Students" by Richard Bass
yes
ik axler for lin alg is good
Idk Axler's book well enough to say but I like Bass
yes
but idk about measure theory
lemme google
where is "here"
i need to pay import duties to get this one
i think bass is kind of ass, i don't really trust it
india
you can ask @fierce hedge which print shops will print books for you
why?
🥺🥺🥺
the pun is funny
iirc i looked up the fubini theorem and it's stated incorrectly, lemme see if i can find it
in the 2022 version?
Which college are u in btw @gray gazelle ?
you can send the guy an email if you want
isnt that just the switching the integrals one
i dont study in india
i just live here
i mean (1) through (4) are only true almost everywhere
Bass is free online
Ooh, undergrad?
yea
Not even pirated but free on the author's website
Wow, how tf did u get in 😭
oh ok
it says version 2.1, whenever that is from
i had nice ECs ig
the latest version is version 4.3
ECs?
extracurriculars
ah, i didn't know it was updated, i'll check that one
?
Ah still
I've heard math in France is pretty brisk
Probably a bit too fast paced for someone like me
The standard in measure theory is Folland
is this any good
for someone doing diff geo n fluids
it looked interesting
so i thought i could go through it once diff geo is over for me
I don't know that topic so I can't say
universitext books are pitched to masters students
really? I thought they were were UGs
Hey, any recommendations for self-teaching differential geometry?
ah, so it is 
how much math do you already know? or do you just want to do curves and surfaces
pressley is a good start
pressley doesnt require topology
i think they can do pressley
maybe they want a more sophisticated treatment
loring tu
aside from pressley, do carmo and tapp are good choices
I've done real analysis, undergrad level abstract algebra, a decent amount of calc and ODEs
o'neill looks good too
by RA do u mean baby RA
or measure theory
Done Baby RA and currently studying introductory measure theory
✋
do like
an into to tops book
u can skip to loring tu
Oh I have also done some intro topology
you can read lee's Introduction to Topological Manifolds for the necessary topology
Though very much intro intro
oh yeah you can read tu's book
do yk what connectedness is?
and what topological gluing is?
if so, u can use loring tu
Connectedness is whether a two disjoint subsets of the topology can cover the main set ye?
Gluing idk
A book my supervisor mentioned is John M. Lee's "Introduction to Smooth Manifolds"
Lee's trilogy
topology's elements are open sets
Yeah yeah, because the union of any subset of the topology is in the topology
topology's subsets are collections of open sets
alternatively you can call them an open cover of a subset of your topological space
Is "Introduction to Smooth Manifolds" the first in that trilogy?
gluing helps u understand how to construct stuff like say
a cifford torus
it's a quartet now, actually!
Assuming you've done topology, yes
Introduction to Complex Manifolds is a thing now
Oh shoot, forgot about his fourth book
Yep
Love that guy
me too
lorentzian manifolds >>>
ty ty all
Does this mean there is one before "Intro to Smooth Manifolds" that's good if I don't know much topology?

Yep, the topological manifolds book is simply a topology book with emphasis on manifolds
Do I recommend it? Sadly no
There's munk for top
Okay well I'm sure I've got at least 2 topology books on this computer already
why not? 
I have a dozen 
Just didn't like it for some reason lmao
fair enough
Man I really need to clean up my textbook folder
Definitely some missing, probably buried in my university folders somewhere
My university folders are very well organized though
Lol I got a new laptop lately so I don't yet have many books on there or have thought about how I wanna organize
Alphabetical by textbook title lol
I have the author name in the title, just at the end, so if I want to search say "Lee" they'll all pop up
Oh hey, Lee's "Intro to Smooth Manifolds" actually has a chapter on Lie Groups, which is part of why diffgeo is near the top of my self-study list rn
One folder 
I've been meaning to sort it into topics like Jay but I'm lazy
And honestly there's no need.
Interestinf
I do [Author] Title
That way if the title has two parts I can still use a dash
(Also since you can't put : in the file name)
Yeah thing is I don't even know how I'd partition precisely
My current partitioning is failing me
shes the only lie group i know 😔
damn
it's Introduction to Topological Manifolds
I was asking because Smooth Manifolds is currently open in my pdf app
Although apparently I can't share pictures in this channel with my current roles 😛
Topological -> Smooth -> Riemmanian -> Complex is the quartet
I have 2 as well
but diff subjects
one is on
Intro to topology
the other is on differential topology
any recs on algebraic combinatorics
@hallow oriole all you lol
@mossy flume
Sagan's The Symmetric Group is a good UG level look at the basics of representation theory and associated combinatorics of the symmetric group.
I've heard good things about Representation Theory of the Symmetric Groups - Ceccherini-Silberstein, Scarabotti, Tolli but I've never really looked at it.
Fulton's Young Tableaux is a nice look at some combintorial ideas of representation theory as well as algebraic geometry, not quite UG level but very approachable.
Alot of people will recommend Stanley's Enumerative Combinatorics I and II but to me these are more encyclopedic than good for learning. He has an UG text called "Algebraic Combinatorics" which is nice.
got it, ill look into these
thanks a lot
I really like Sagan's text and Fulton's text I think those are fantastic starts
there's a good amount of overlap between the two
i think thats where ill start, i have experience with algebra but not much with representation theory
ok then Stanley's UG text and Sagan's text are perfect starts
if you want something tangentially related and more algorithmic, Ideals, Varieties, and Algorithms by Cox, Little, and O'Shea talks about some algorithmic problems in commutative algebra / algebraic geometry
I find that many people who are interested in algebraic combinatorics also like the stuff in there
is this something i would need/benefit from algebraic geometry background for
benefit, sure but need absolutely not
the only background it assumes is linear algebra
oh nice
so you knowing abstract algebra is already a head start
linear algebra mentioned! 
yeah i see
do u have any idea how low a bar that is lol
it definitely sounds interesting to me
yea it's fun stuff
yes, I do!
dw, I lurk all the adv channels
I'm well aware
#combinatorial-structures is arcane magic to me.
relevant reference
same
lots of big words (idk what they mean tho)
I tried to brainstorm some graph theory stuff with Austin once, cause he asked me to
I didn't get very far 
graph theory is so cool
i know the basic basic basic stuff
but i like
guys jacobson is "basic algebra I" and not "lectures in abstract algebra" right
correct

the former is an updated version of the latter
Are you really using Jacobson for intro algebra?
no its for when i finish lang's la
Ia is linear algebra right?
ye
So you will be using Jacobson for abstract algebra?
yes
Oh boi
I know that Miz is using Jacobson as an intro to AA, but it seems to be quite hard lmao
I should just say don't, in my experience it's terse asf
Like there's no wasted words
like rudin 
It's worse imo
hello, is anyone having Class 12th RD Sharma vol1 and vol2 pdf?
u cannot ask for pdfs here
unless they're free!
okayy sorryy
its against discord ToS, and more importantly, not legal
like Axler or Bass
(not that people here dont download em anyway lmfao)
Again worse or better is subjective but yeah, I'll suggest you try Robert Ash first, nice compact cheap Dover book with answers at back
doesnt someone here have the entire springer UG book thing downloaded?

It's called Printster, for future reference
You can, in fact it is located in Delhi
yeah i read the thing
anyway this is kinda off topic
and i have some practice problesm to do anyway
cya
also numpy i dont see u in analysis class anymore 😔
😭
I have a PhD interview in some days and another exam also
good luck
Thanks 
good luck!
Thanks 

it's onto?
My spelling skills have gone to shambles 
my spelling skills have always been bad 
Do they just print any PDF even if it’s pirated?
They don't care, there are a printing service. They'll print almost anything you send them.
Wow
10,000 pages of black ink
Yes, but legally
Sure
Who does
I have a majority of both lmao
Idk the exact number
If you're a university student Springer allows free pdf downloads of any of their textbooks
How
wonder if my school will pay for this
What school
Oh probably not lmfao
What university are you planning on attending
There are only two high schools in the list
Jericho high school and weston high school
WHAT
i’m literally about to download literally every springer book in existence
how did you of all people not know this?
also, it's not any of their textbooks
but it's a lot
idk i’m usually very good at obtaining books
