book-recommendations

[vital bane]

since you only want to review

[remote sparrow]

https://www.amazon.com/Galois-Theory-David-Cox/dp/1118072057

https://www.amazon.com/Through-Exercises-Springer-Undergraduate-Mathematics/dp/3319723251/

https://www.amazon.com/Galois-Theory-Delivered-University-Mathematical/dp/0486623424

if by "advanced calculus" you mean multivariable analysis, you can look at hubbard or shifrin

callahan also makes good supplementary reading

[still panther]

van der waerdens algebra sounds like exactly what you want

its a classic

[remote sparrow]

i suppose knapp, bhattacharya et al., and ash's Basic Abstract Algebra would also be good choices

knapp has long hints that border on solutions to every problem in the back

bhattacharya has solutions to odd exercises

ash has solutions to every problem

[foggy quest]

https://mtaylor.web.unc.edu/notes/math-521-522-basic-undergraduate-analysis-advanced-calculus/ The choice of topics of the several variables book is great, but it's a bit terse.

some here: https://mtaylor.web.unc.edu/wp-content/uploads/sites/16915/2018/04/linalg.pdf

[silk bluff]

100 million digits of pi

[near jewel]

Are there any comprehensive recommendations for statistics?

[analog lava]

hi everyone

I know basic algebraic topology (chapter 1-2 of hatcher) and read Tu's manifolds textbook

I want to get "introduced" to knot theory from this context

any textbook recs?

ty

[signal zenith]

What type of knot theory are you interested in

Jessica Purcell’s hyperbolic knot theory is excellent

If you’re interested in hyperbolic stuff

Idk what people read for more algebraic stuff

[mystic orbit]

@remote sparrow what do people usually recc for measure theoretic probability?

I've been using billingsley and I find it exceedingly dry

not sure if that's a me issue but I wanna try out a different book

[blazing dagger]

Durrett is good but it’s also a bit dry

[remote sparrow]

maybe durrett (has a reputation for hard exercises)

[blazing dagger]

Honestly there are not many good intro prob texts

[remote sparrow]

you can also look at ash

[blazing dagger]

Also dry

Haha

[mystic orbit]

lmfao

rip

[blazing dagger]

billingsley already reads one of the best to me

[mystic orbit]

does durrett at least have good typesetting?

[remote sparrow]

yes

[blazing dagger]

Decent I. Guess

But it is very much

A learn through exercises book

And it can be rough

[remote sparrow]

the fun intuitive bits were already supposed to be in your calculus-based prob class

[blazing dagger]

Oh no

There’s much more

Fun intuitive

[mystic orbit]

and how about these two suggestions from math overflow?

[blazing dagger]

oh yeah Williams is nice

I haven’t seen pitman yet

[remote sparrow]

i don't recall williams having many exercises

[blazing dagger]

It’s a light book

But very nice

[mystic orbit]

inchresting

I might try that one out

and then perhaps go back to some other more comprehensive treatment in the future

[blazing dagger]

Based

[mystic orbit]

perhaps I'll use durrett for exercises!

anywho, thank you both

[blazing dagger]

Another good source of exercises

The Facebook group >actually good math problems

Prolly better and more fun than durrett

Although I don’t know

What they’ve come up with by now

Those animals

[remote sparrow]

there's a guy on the statistics server that likes klenke and cinlar

[blazing dagger]

Cinlar feels very dry

idk about klenke

[remote sparrow]

rosenthal is really an advanced undergrad book, but it might be helpful supplementary reading

le gall does go over some of the basic material too and in @upbeat vine's opinion, its treatment of stochastic calculus is better than billingsley or durrett

[blazing dagger]

Oh neither of the latter two

[remote sparrow]

but cocat overall recommends billingsley for a first pass

[blazing dagger]

Do stochastic calculus..

[remote sparrow]

is brownian motion part of stochastic calc

[blazing dagger]

Ye it’s like the canonical object

[remote sparrow]

billingsley has one chapter on brownian motion, but obv stochastic calc gets short shrift

[blazing dagger]

My favourite intro for stoc calc that isn’t too heavy or detailed

Is Steele

but it is not easy still haha

Baldi is a bit more dry but is as good of a textbook as you can get

[remote sparrow]

karatzas and shreve is the reference, but generally people don't think it's good for learning stochastic calc

[blazing dagger]

It’s more of a second read

And a very brutal one

[mystic orbit]

ok, I already hate this guy lmfao

[blazing dagger]

Chapter 10 lol

I mean

If u already have measure theory

U can start straight on measure theoretic probability

[remote sparrow]

durrett?

[mystic orbit]

williams

[blazing dagger]

:grief:

Just skip the first 10 chapters

[mystic orbit]

yea, I think I'll skim part A

[mystic orbit]

bro, I barely know the definition of a random variable LMFAO

[blazing dagger]

Oh..

[remote sparrow]

he's already done measure theory

[blazing dagger]

So you have measure theory already

Uhhh

Tao?

[mystic orbit]

besides, it's saying chapter 10 is when the real meat is at

[blazing dagger]

Tao is good but hard

[mystic orbit]

coz that's martingales

[blazing dagger]

Yea

U can try ch 10 I guess

[mystic orbit]

folland

almost all of it

[blazing dagger]

Nice

I meant like

You could use taos probability course

[mystic orbit]

oh

[blazing dagger]

It’s decent if u have folland level MT

[remote sparrow]

follows durrett iirc

[blazing dagger]

https://terrytao.wordpress.com/2015/09/29/275a-notes-0-foundations-of-probability-theory/

Yea

But clearer

And uh harder

GL

XD

[mystic orbit]

LMFAO

[mystic orbit]

I'll check it out

[blazing dagger]

🔥

He’s absolutely right

[remote vortex]

I didn't realize Folland dislikes measure theory so much.

He covers it very well in his Real Analysis book.

Ah, the screenshot is Williams, not Folland?

[blazing dagger]

Ye

Folland does more than Williams

So if he has folland he can just skip those chapters

[south scarab]

Going to take MVC, linear algebra, and stats next year

Need some book or smth to learn linear

I think mvc and stats will be fine

[inner acorn]

Rd sharma , rs Agarwal are good books

[south scarab]

Ok

[sacred nova]

Hey!
Im using a book named A course in differential ordinary equations by Randall Swift and Stephen Wirkus.
Am kind of new to DOE’s but am loving the book and the path it is following. Every book has its flaws, and so, just wanted to know if there is any books to complement it or that might be better?

Am studying for my mathematics degree but i still want to know lot more than what my teacher is teaching. (This book is already an extra and so ur recomendations will be)

[tired glen]

is cengage book is sufficient for iit jee

[vital bane]

"Multivariable Mathematics" by Ted Shifrin

it covers both MVC and Linear Algebra in a single book

[south scarab]

Ok

[vital bane]

Outsider about to punch this guy in the face

[analog lava]

thanks for your reply

i checked it out and if ur tlaking about the 62 pages one

it seems to me that this is abit more advanced for me just by reading a couple of pages

like just by the way it reads

[signal zenith]

https://arxiv.org/pdf/2002.12652

I mean this one

[analog lava]

yeah thats what i got but ig i found a shorter version

but yeah maybe im just being a pussy it says right in the prereqs that only basic AT is required

i dont even know what a PL map is

😄

[signal zenith]

Tbh like especially with knot theory you gotta black box a decent amount of stuff

And also be comfortable with arguments which are extremely visual (for example, often when describing isotopies of surfaces you just say “push this surface to this surface” or when describing the tetrahedral decomposition she says stuff like “stretch out this space and glue it here”)

This is like near universally happening in at least the geometric side of knot theory

I would encourage you if you’re interested to not stress too much about having every prereq bc you can still get a lot out of the book without them

[signal zenith]

As for black boxing, for example some of the techniques are extremely high level (the reason it’s even a field at all is Mostow Prasad rigidity, so geometric invariants of hyperbolic knots become topological invariants. Also, Thurston’s theorem says you just need to rule out 4 essential surfaces to prove a complement is hyperbolic).

But if you just accept those as fact you can do a lot with minimal background knowledge

[analog lava]

yeah im still trying to get better with that from hatcher

im still very weak with like

visual arguments in the sense u described

but ig if i learn more about chapter 0 from hatcher and like CW complexes

i can try to make sense of them more

[signal zenith]

Yeah. I mean at the end of the day you can make these things rigorous. But the point is that it’s often incredibly annoying to do so. But it’s clear that such an argument is “correct”

[analog lava]

yeah exactly i remember one of the exercises in point-set topology by hatcher was like

to show a quotient map from D^2 to S^1 and hten with a note claiming what ur saying

"a clear geometric description is enough"

[signal zenith]

& often making it fully rigorous by writing out formulas and stuff obscures the intuition for what’s going on

[analog lava]

yeah true

[signal zenith]

Yeah exactly like

When I first took a topology class we had a couple homeworks on quotient spaces where the professor said he would only accept proof by picture

I’m very glad he did that

[analog lava]

wow thats pretty cool

[signal zenith]

Yeah it was very fun

[analog lava]

is this how professional mathematicians working in this area (geometric top/low dmi) usually work

[signal zenith]

And also like it really helped me train my visual intuition

[analog lava]

like what i mean is

[signal zenith]

Low dim topology in my (limited) experience yes

I read a bunch of papers which are all like this

[analog lava]

is choosing visual intuition over like making sure u write the explicit homotopies or maps or whatever a good advice

[signal zenith]

In hyperbolic knot theory

[analog lava]

i see

ig maybe that's why hatcher is like

a hit or miss for some people

[signal zenith]

https://arxiv.org/pdf/2309.04999

[analog lava]

it's probably a hit for the low dim topologists

but a miss for like the people who want to do homotopy theory or somthign

[signal zenith]

This is a work from my advisor and one of his students from like last year

[analog lava]

yeah i can see the pictures already

haha

[signal zenith]

The style of argument is very typical for low dimensional topology

If you want to get a taste for the flavor

Or there’s another famous paper by I think Menasco

Where he proves alternating links with some conditions are hyperbolic

[analog lava]

yeah ig that's what im going to be doing if i get accepted at a certain uni

LDT in particular

so im trying to practice my visual arguments more

do u have any advice to get more used to these types of arguments

ig just doing hatcher religiously?

[signal zenith]

Sure Hatcher is good. But i think what really helped me was my summer research, I spent a lot of time following these arguments and trying to understand them

[analog lava]

yeah

ig talking with someone whos good with these types of arguments is nice cuz like

[signal zenith]

https://www.sciencedirect.com/science/article/pii/0040938384900235

[analog lava]

u can get a feel for when the thing u have in ur mind works when not etc

[signal zenith]

This paper is like pretty foundational and also a good feel for the style of argument

Basically I guess I would say instead of focusing too much on hatcher

Because a lot of the algebraic stuff is honestly not even needed

Read a lot of the literature on geometric topology itself

Eg, the Purcell book, or some low dimensional topology book

[analog lava]

yeah thing is idk any riemanian geometry yet

and i believe that's a prereq?

[signal zenith]

I don’t either

It’s a prereq only sorta

[analog lava]

all i know is basic smooth manifold theory and basic AT

[signal zenith]

Especially for proving things are hyperbolic you don’t actually really need to know anything geometric, just topological

Because of the theorem of thurston: it’s sufficient to disprove the existence of essential disks, spheres, tori, or annuli

And you disprove those via very visual combinatorial and topological arguments

If you want to prove specific things about the volumes once you know a link is hyperbolic then yeah you gotta know some hyperbolic geometry

[analog lava]

i see

[signal zenith]

But a lot of the questions are like “here are some 3 manifolds, which are hyperbolic?”

And for that it’s just purely topological and combinatorial arguments usually

[analog lava]

yeah i see

ig this sounds nice

reading about hyperbolic knos

knots

i really haven't learnt any hyperbolic geometry yet but yeah i see what ur saying

[signal zenith]

Yeah. Even proving stuff about the volume often you can do it with combinatorics of the tetrahedral decomposition of the knot complement

That’s described in the Purcell book

[analog lava]

i see

thank you so much for this

i will try to read both hatcher and be a bit more brave with reading about knots

not worrying TOO much abotu the geometric prereqs

and ig even if i don't really understand the results seeing the arguments themselves in action would be beneficial ig

hopefully atleast

[signal zenith]

No problem!

[outer sail]

I'm new here

and my recomandation is that you should read stephen hawkings

a brief history of time

really good book

[molten gulch]

we've read it before, definitely a nice book

but doubt we could get through it today; not enough maths

[outer sail]

yes

think because it was made to for the general public and inflict the need/want for studying science or math

[molten gulch]

though the proper maths for GR and such is a bit beyond us rn

yeah

diff geo soon(tm)

[outer sail]

dont understand

sorry

[molten gulch]

we're gonna study differential geometry soon

and concepts from it come up frequently in general relativity

[outer sail]

that is very cool

[brisk rapids]

linear algebra problem book recommendations?

[outer sail]

try this

can you not send pdfs here?

[stray veldt]

you cant

[outer sail]

copy that and try?

[stray veldt]

that wont work

you'll have to move to DMs

[outer sail]

k i'll tell name then

[stray veldt]

or that

we cant really allow attaching pdfs

we have to prevent posting of pirated material

[outer sail]

Exercises and problems in linear algebra John M. Erdman

thats the pdf name

[brisk rapids]

thanks, I'll try it out.

[outer sail]

np hope it helps

[molten gulch]

that link is local to your computer

[outer sail]

whoopsies

thanks

pls don't ruin my life

[molten gulch]

lol what?

why do you think that's gonna happen

you posted a file link on your computer; that's not gonna do anything

like

at all

[outer sail]

;-;

[molten gulch]

/home/tcc/Programming/Personal/Other/Books/

like here

I did it too

[outer sail]

good to know now

thans

thanks

[signal zenith]

I regret to inform you that you’ve been hacked

I’ve hacked you right now

[molten gulch]

nooooooooooooooo

[signal zenith]

I’m in your mainframe

Downloading all your ram

[molten gulch]

awwww shiiiiit

[outer sail]

https://tenor.com/view/icardi-doğum-gününüz-kutlu-olsun-öpücük-günaydın-gif-16794880280252479911

[dusk hemlock]

lol

WHY ARE YOUR FOLDER NAMES CAPITALIZED

[molten gulch]

BECAUSE THE DEFAULT FOLDER NAMES AREEEEE

[dusk hemlock]

lol

but still

makes it annoying to type

[molten gulch]

frankly I'm more annoyed that my book titles are miscapitalized sometimes

[dusk hemlock]

how are you fine with some folders being capitalized and some not

[molten gulch]

anything outside of $HOME should be uncapitalized

[dusk hemlock]

well yeah

[molten gulch]

unless it's bullshit in lib placed by external software

[dusk hemlock]

yeah

but for me

my folders

except for Documents, Desktop, and Downloads bc i don't think windows lets you rename them

[earnest notch]

What are some books recommended for calculus?

[gray gazelle]

james stewart is nice

he has a book on 1-3

and i believe a chapter or two on differential equations

[vernal dirge]

Hello, does anyone have a recommandation on beginner trigonometry and calculus book please ? Thanks

Oh wait

[vernal dirge]

He already answered

Thank you

[earnest notch]

Do you happen to know any french books related to calculus?

[gray gazelle]

books in French? I do not, but I'm sure that you could find them, the question is if they treat it well, but the material is pretty standard everywhere so I wouldn't worry

idk if Khan Academy has a translated webpage in French? but that could be another venue for problems (their lectures are in English afaik)

[south elbow]

what prereqs do i need for conways functions of one complex variable?

[marble solar]

Calc 3, and some topology

Real Analysis

[south elbow]

ouch dont have topology yet

[remote sparrow]

the most you will need to know is some knowledge of metric spaces

[marble solar]

I was trying to think about the set up for the proof of the Riemann Mapping theorem, on the function space stuff

But I guess that is also a metric space

[spice stag]

If a book is adapted by another author , is it worth buying that book ?

[remote sparrow]

depends on the book

well, what does adapt mean here

are they just cutting down the text, as is the case with some editions of les miserables, which was written during a time when authors were paid by the page, so the author wrote lots of pages that are arguably not relevant to the story, or are they changing certain elements?

an adaptation of huckleberry finn, for instance, may change every instance of the n-word to slaves. i'd probably say an adaptation of this sort isn't worth reading

there are also some stories which have been translated from another language that, while not necessarily hewing closely to the text in the original language, have become classics in their own right

[pliant stream]

i mean

everything is just an adaptation right

its not like a math book is written from the author who never looked at anything else

[spice stag]

i actually don't know that . The book of discrete maths by kenneth H rosen is quite expensive , there is a cheaper alternative available but on it's cover page it's written " Indian Adaptation by (author name) , AICTE syllabus recommended book" [AICTE is the governing body which dictates the rules and regulation of the books which need to be used etc etc]. So would the contents match with original book ? what changes can i expect ?

[spice stag]

fair enough 💀

[mystic orbit]

Mfw I read cours d'analyse de l'école polytechnique coz Cauchy is the goat

🏃‍♂️ 🏃‍♂️

[gray kraken]

hey guys
how is the book
"a course of pure mathematics" by G.H.Hardy

[mystic orbit]

I will assume it is aweful since hardy is an egotistic writer lmfao

I literally read mere pages off of some of his work and it was ful of unnecessary elitist remarks lmao

[gray kraken]

wait wut
what all do you take into account to mark a book as good or not

[gray kraken]

oh well
i had no idea about that

[mystic orbit]

you can ignore me I suppose, you shouldn't take my remark as actual criticism of the book

since I obviously haven't read it lmfao

but yea, I dunno, everything I read off of hardy was insufferable

[lapis salmon]

Hey everyone, first post, do we have a pinned post for solid book recs? I stopped studying math in high school outside of statistics throughout undergrad but I have a break coming up next year between my honors thesis and starting my phd and I'd like to spend it brushing up on math

Trigonometry would be a good starting point for me?

[mystic orbit]

yea, in fact there is!

[lapis salmon]

Excellent!!

[mystic orbit]

but I don't think there's one for trig

unfortunately

[lapis salmon]

That's okay! As long as I can get a starting point somewhere

[mystic orbit]

I'm getting you have background in statistics?

that would mean you know a fair amount of calculus, right?

[lapis salmon]

Nothing too in depth, just enough to have gotten through undergrad (a double major in bioscience and conservation and wildlife biology)

I'd consider myself very beginner at everything

but shes got a fighting spirit 😤

[mystic orbit]

well, there are a couple paths you could follow

you could either go the proof based math route

or continue looking at works made for non-specialists at math

I honestly feel like every STEM person should know how proofs go in mathematics

so you could try to familiarize yourself with how those go using something like "discrete mathematics with applications"

[slender wasp]

Noooo, don't go for those Indian adaptation ones. They are a horrible concept. They take a classic, add some Indian authors to it, who add a few examples, problems here and there, add or remove a section or two and sell it as an adaptation. imho, it should be a crime! I bought the adaption of Apostol Calculus II, but I could not stand the edits. So, I ended up not using it and giving it away as soon as I could. However, they are cheap and printing quality is decent. For the specific book, see if you can find the preface which will tell you what unholy edits they made.

[mystic orbit]

there's also some math book for engineers which goes throught a shit ton of very essential applied mathematics

but I don't recall its name

[lapis salmon]

Perfect, I'll look into finding a copy! Thank you!

[mystic orbit]

np!

[lapis salmon]

That'd also be super interesting! I've been stuck home with a head cold and I've been listening to a lil series on engineering fundamentals while I game 😅

[gray kraken]

it is avlaible as a pdf for free
if interested

[mystic orbit]

@remote sparrow do you know which one I'm talking about?

it's extremely famous amongst engineers

[slender wasp]

Probably Advanced Engg Maths by Kreyszig?

[heady ember]

For a moment I read this as "I'm extremely famous amongst engineers"

[spice stag]

ok will do 🫡
just for reference the adapted version is for rs800($9.53) and the original one is for rs8,000($95.2) 💀

[hasty eagle]

Brist0l

[spice stag]

bro

[spice stag]

for free, sure .
In general its called pirating

[rain wren]

texit is the dad bot of the mathcord server

[spice stag]

fr

[gray kraken]

yes infact
or u can deal with the indian adaptations

[gray kraken]

oh wait that is too much of a discount
as tubelight suggested check the preface and the index

[slender wasp]

the indian adaptations are also piracy as far as im concerned. But it is understandable if folks find them cost effective, which they undeniably are...

[molten gulch]

how hard is it to learn french or is this like..."mathematical french"

[rain wren]

you think I actually opened that piece of crap?

how tf would I know

[molten gulch]

also hru darq

[rain wren]

uhhhhhh

it's complicated

but I'm more or less pretty good lmao

[molten gulch]

that's good :)

[deep moat]

Any book recommendations upon how/why this thing in math works?

like why does this work and why does that work?

[molten gulch]

what is "this thing"

every concept probably has a different proof

[gray kraken]

yes exactly, summing up all of them in one book is too much

[vital bane]

"Mathematical Methods for Physics and Engineering" by Riley, Hobson and Bence?

[mystic orbit]

Yep

Seems to be the exact one

[vital bane]

yea that book is nice

it also has a nice solution manual

(good for self-learners)

[mystic orbit]

@lapis salmon the engie book I spoke of:

[vital bane]

I seem to have been diagnosed with a mild case of severe Autodidacticism

[deep moat]

I am reffering to formula's and other type of stuff

In short, I am just asking myself "why does math work?"

[stray veldt]

this doesnt help at all

[signal mountain]

whats your background?

[still panther]

who told you math works

[deep moat]

Technically, yes.

[deep moat]

My brain.

I just asked it and why does it work in a way

[remote sparrow]

oh and here i thought you were talking about fiction

idk, they're probably similar enough

[remote sparrow]

average brit

but i believe the work mentioned is an old-fashioned course in real analysis

[remote sparrow]

besides kreyzsig, there are a few other tomes that are titled Advanced Engineering Mathematics

there are also math methods books, such as those by boas or arfken

usually physicists are assigned them

[mystic orbit]

It's ok, neam already got it

It's called math methods for physics and engineering

[remote sparrow]

well i never heard of neam's book before today

but now i know

[final zephyr]

Hello, I am planning on studying computer science at University and was wondering if anyone had suggestions related to essential maths for CS?

[remote sparrow]

well you need calculus and discrete math

[inland pagoda]

pretty sure linear algebra should be important too

[remote sparrow]

i don't exactly know how much linear algebra the general CS major needs to know (some programs don't have linear algebra as a requirement), but certainly students interested in machine learning or graphics need it

also those interested in theoretical CS should learn it

[open merlin]

where does calculus come up for comp-sci outside of machine learning? although i guess that's a big deal now :p

[remote sparrow]

analysis of algorithms

[near jewel]

Not about books, but are there any good pdf reader? I like Microsft edge, but it doesn't keep up to the pages, it just gets defaulted next time opening it.

[cold tusk]

any good (and short) intro geometry books?

[open merlin]

I use foxit reader. There might be better ones tho

[heady ember]

I have heard of Sioyek, but I haven't bothered to try it out

https://sioyek.info/

[hallow oriole]

sumatrapdf!

wrong reply. sry

@near jewel

[trail hemlock]

seconded

[timber mesa]

oh this looks good

[vast pond]

Try zoteto

very good looking, nice interface. Free & syncs

Sioyek is gud but unmaintained

[deep moat]

I use koodo reader!

[timber mesa]

zotero? I've used it but never could quite get used to bib management in general

ideally id want to keep the bib management and pdf reader bits in separate programs

[lament notch]

Hi, I am starting an undergrad math degree in the US in a couple of months and i wanted to keep my math skills sharp right now when i dont have anything else to do. Ive finished high school from india so thats kinda where my level is at. Any book recommendations which i could solve?

[pliant stream]

principles of mathematical analysis

[lament notch]

Alright thanks

[lament notch]

💀 is it not good?

[livid lintel]

It's a good book but it might be too advanced for your level

[lament notch]

In my first sem ill be doing the mat231 calculus 2 course. Now i dont really know what that means tbh and which books to go for

[lament notch]

Ah okay

[last pond]

read the 1 million digits of pi

[lament notch]

Now thats why i chose a math degree. Hell yeah

Cant seem to find a recommended lit page. Ill just get a regular calc book

Now, any recommendations for that lmao?

[gray gazelle]

stewart

james stewart

but i'm pretty sure it's very expensive so you might want to indulge in the vast availabilities provided to you by the internet

also this book is goated https://www.amazon.com/Essential-Calculus-Practice-Workbook-Solutions/dp/1941691242/ref=pd_bxgy_thbs_d_sccl_1/132-9593954-7646631?pd_rd_w=caFyH&content-id=amzn1.sym.3858a394-39a9-4946-90e6-86a3153d2546&pf_rd_p=3858a394-39a9-4946-90e6-86a3153d2546&pf_rd_r=ASP492QYZ6C91HWMCHWD&pd_rd_wg=1siNi&pd_rd_r=1f9ff7b2-2e12-4618-b107-8cceb78a31da&pd_rd_i=1941691242&psc=1

[lament notch]

Alr thanks a lot

[vast pond]

Dont really use it for that so can't comment

But pdf reader is p good

other than that okular is nice too

[brisk rapids]

I'm in my first sem in India and we use it as a standard book so I think it's alright?

[heady ember]

If you're following a course, then it's probably fine.

Its just that, if you're new to proofs and have little mathematical maturity, self-studying from baby Rudin may not be the best idea.

If you wanna read ahead of your course, something like Abbott is gentler and may provide greater insight with less frustration.

[vital bane]

Light transport and graphics programming (But I'm not sure if that counts as a subfield of TCS)

[vital bane]

also Rudin, pedagogically speaking is trash, whereas Abbott is the absolute pinnacle of pedagogy

Abbott -> if you want to actually learn analysis
Rudin -> source of problems for getting even better at analysis

[golden salmon]

Rudin I think belongs as a second-pass book

[vital bane]

yea defo

[golden salmon]

Learning from Rudin in undergrad sounds like a bad time

[vital bane]

for a second-pass it's great

[heady ember]

I like Rudin

But it wasn't my first forray into proofs.

[vital bane]

mfw set theory

[heady ember]

Tbh I think the proofs in Rudin are better than the ones in Schroder. Some in Schroder tend to be convoluted because of avoidance of topics like Topology or just convoluted seemingly for zero reason.

[golden salmon]

I like Rudin's FA text. I refer to it when I can't find something in Reed and Simon or in Amann and Escher

[vital bane]

this is why Abbott does Topology in chapter 3, it becomes much easier later on

I haven't read Tao, but I'm sure it's good

especially for people who like foundations

[heady ember]

For example, I love the proof in Rudin for the Intermediate Value Theorem, which uses the fact that compact sets have a compact image under a continuous map, and that continuous maps preserve connectedness.

[vital bane]

most intro analysis books are good, like Tao, Cummings, Schroder, Bartle etc

[vital bane]

ooohh

[heady ember]

Its slick.

[vital bane]

actually

iirc IVT is actually a special case of continuous maps preserving connectedness

I remember Abbott mentioning this

he first proves that, and then offers two separate proofs of IVT

[heady ember]

Indeed.

As an aside, is there an image of Walter Rudin as a baby? I should use that as the cover page for my notes

[vital bane]

Nice

[vital bane]

I think this is as far back as it goes

[heady ember]

[vital bane]

so only papa rudin is possible

you better start doing papa rudin then

for when you do grandpa rudin (FA)

[heady ember]

I'll just paste the latest picture of Walter Rudin onto the face of a baby for maximal comedy.

[hollow shore]

I am looking for a computational Multivariable Calculus book which is unlike Stewart and has reasonable amount of exercises (not too excess like Stewart/Thomas).

I tried finding some Dover titles but it seems like there isn't one which matches the description

[vital bane]

why aren't Stewart and Thomas suiting your needs?

[golden salmon]

Usually one is happy with more exercises, not fewer

but more seriously, if you're open to abbott maybe that would work?

[hollow shore]

I need smth concise that I can wrap in the course of a 4-6 weeks

Stewart seems to bombard a lot of repetitve and mechanical exercises

[golden salmon]

Oh are you running the class? Then just assign every 2nd or 3rd question

[hollow shore]

Nah I have a backlog in Calc 3

I need to appear for it in December

it's not technically a backlog, I am just appearing again to imrpove my grades

and I have other coursework on top of it, so I need smth compact

[golden salmon]

Again try abbott or doing some fraction of the q's

If you're after something totally fresh maybe use this as a starting point: https://tutorial.math.lamar.edu/Classes/CalcIII/CalcIII.aspx

[hollow shore]

oh this seems nice

[brisk rapids]

lmao CMI

[karmic tangle]

Hello, could anyone please tell me if Enderton's introduction to mathematical logic has enough/good exercises?

[remote sparrow]

yes

[pulsar talon]

Hello guys

I need references for which book I can use for Maths for class 12th boards?

[rugged thorn]

rd sharma

[pulsar talon]

ok

[spark jay]

damn that's a difficult book
Even more difficult book is ncert
Fr it's d14 level

[remote sparrow]

well, you can have more elegant proofs if you choose to use more machinery, but i think it goes against the basic spirit of an introduction to analysis course, which is to learn how to bound things

[cold tusk]

I just checked out a book in the library called painless geometry that I’m going to work through, is this sufficent to teach me intro geoemtry?

[umbral shadow]

Any good book for Science Computing level math?

[heady ember]

[pliant stream]

all the proofs are the same fundamentally lol

i don't know of a first semester analysis proof that is somehow greatly simplified by apealing to topological notions

besides, many of these theorems are in fact equivalent to the completeness of the real line

so any proof is going to be fundamentally the same

[neon oxide]

Any good calc bc books

[marble solar]

intermediate value theorem vs continuous image of a connected set is connected

[gilded shuttle]

larson ap edition

[neon oxide]

Is it a textbook

[gilded shuttle]

yea

[neon oxide]

Oh big ideas

Cuz ik Larson did a lot of big ideas math stuff

[gilded shuttle]

yea him

[neon oxide]

Thx bro

[gilded shuttle]

you’re welcome

[neon oxide]

Im failing rn I only have a b 😭

[gilded shuttle]

tough

khan academy is good too

[neon oxide]

I sleep now bye bye

[twin valley]

not a textbook but khanacademy has it as a course

it's free

[ruby plaza]

Hey what are some good books to learn basic number theory for olympiads

Please suggest some other resources as well

[final swallow]

I like Aops number theory books

[gray gazelle]

any olympiad level inequalities book suggestions

[trail hemlock]

the cauchy schwartz masterclsss is a good one

[distant spear]

"secrets in inequalities" is a popular one

[vestal trout]

Stewerttt

[empty junco]

schwarz

https://tenor.com/view/youre-your-gif-22328611

[gray gazelle]

Hey!

[lilac bronze]

Trying to read up on matroids, which are pretty linear algebra heavy and it's been a while for me

Can anyone recommend good resources for linear algebra - especially dealing with it over different fields?

Things like finding bases, span, dependence, all that sort of thing over different fields

[stiff tulip]

I’m a 4th year undergrad prepping for putnam but my elementary number theory is really poor. Any good texts for getting me up to par?

[stiff tulip]

I think Babai has a text like this

[strange tree]

I think rather than books you usually end up reading handouts

• https://web.williams.edu/Mathematics/sjmiller/public_html/161/articles/Riasat_BasicsOlympiadInequalities.pdf
• evan chen´s https://web.evanchen.cc/textbooks/OTIS-Excerpts.pdf

[trail hemlock]

yeah lol i can never spell that

[brisk rapids]

maybe one of Titu Andreescu's books

[harsh shoal]

i want a book about descrete maths and to be a bit simple to understand cus im not the best at math, college level btw not graduate

[brisk rapids]

Lovasz?

[harsh shoal]

thanks ill see it

[formal parcel]

best precalc textbook?

[little coral]

i want books about

mathimathical analyses

if you guys can suggest some

[remote sparrow]

#book-recommendations message

[little coral]

thx

[sudden kindle]

Any thoughts on Linear representations of finite groups by Serre

[spark jay]

Inequalities by B.J. Venkatachala

[analog lava]

very good

it has the perfect balance between the deep algebra

and the elementary computations

imo, it is an easier read than fulton and harris

[swift dome]

https://ieeexplore.ieee.org/document/9564096, can someone help me download this pdf

I want to download but buying IEEE membership just to read 1 paper don't worth it.

[plush rain]

(resolved)

[tawdry turret]

I'm reading Partial Differential Equations (3rd edition) by Jürgen Jost

How well would u recommend this to someone revisiting pde's after years from uni and not having lecture notes?

Some parts gloss over the fact you know certain notations, like C²( Omega-bar )

I think this is about continuity classes of 2nd order pde's?

[rose raven]

I want some books about differential geometry or riemannian geometry thanks

[knotty bolt]

Pre calculus by james stewart

[marsh ingot]

Functions that are differentiable twice with all partials continuous over the closure of Omega

Its common in real analysis

[molten gulch]

lee's smooth manifolds; Tu's intro to manifolds, Lee's Intro to Riemannian Manifolds

[rose raven]

Thank you,are these books on classical differential geometry?

[molten gulch]

these are modern approaches AFAIK

[rose raven]

Thank you

[cosmic zodiac]

I am starting calculus this month as I haven't learnt it before
Which books should i read to have a good basic understanding

[somber dirge]

checkout thomas calculus, it has it all

[languid bloom]

Not a book but Paul’s online math notes is a good start and it even has “cheat sheets” that I found useful

And it’s free which is always nice

[cosmic zodiac]

Youtube?

[languid bloom]

No it’s a website (:

[cosmic zodiac]

found it

thanks

any reference books?

[molten gulch]

you can download the notes as pdf books

just use the download button in the top corner

[molten gulch]

stewart's calculus and thomas' calculus

[languid bloom]

+1 for Stewart’s as well

But yeah Paul’s math notes has all you need on the site with the practice problems and such as well as all of the info for the subject

[cosmic zodiac]

CALCULUS
EARLY TRANSCENDENTALS
HOWARD ANTON (Drexel University)
IRL BIVENS (Davidson College)
STEPHEN DAVIS (Davidson College)
this one?

[molten gulch]

no

[languid bloom]

I would use thrift books to purchase btw if they ship to your country/area

[molten gulch]

https://www.amazon.com/Calculus-Early-Transcendentals-James-Stewart/dp/1337613924/

[cosmic zodiac]

i cant find them in the stores here

is this going to be enough

[molten gulch]

don't discuss finding pirated materials in this server please

[cosmic zodiac]

sorry mb

[molten gulch]

yes that will definitely be enough; would recommend using it in conjunction with professor leonard's calculus lecture videos, blackpenredpen's calculus videos, and paul's online maths notes

[cosmic zodiac]

thanks

[cosmic zodiac]

btw are professor leonard's Precalculus - College Algebra/Trigonometry videos good?

[molten gulch]

I'd think they're fine for prcalc; if you need calculus, look at his calculus 1 videos

[cosmic zodiac]

also is precalc from khan academy good?

[opal quarry]

Guys is "algebra by I. M. gelfand" good or not? I want to be like genuis people in math is it good for me or not?

[molten gulch]

AFAIK it's considered good; and no book will make you a genius and you have a LOT further to go in maths

[opal quarry]

I know it won't make a genius all of sudden... but I mean I want a book that will make me achive my goal which is to be a genius at math

[opal quarry]

"Helping me to achive it"

[molten gulch]

there's no such thing as being a genius, eventually you'll probably specialize in a niche topic and do work there, sometimes people branch out further but like...you'll know a lot about your field but you may not know much about other fields

there is no such thing as being a genius, there never will be, don't try to be a genius

[tribal crow]

trying to become a "genius in math" is a misplaced goal

[thin swan]

Dark Brilliance. Good intro into Renaissance period

[gray jungle]

I mean one may argue there definitely has been "math geniuses", its just not the norm.

some people are just exceptionally good at there field, ofcourse its almost impossible to be good at multiple fields in todays age, but still, people like Terrance tao are math geniuses imo.

But i agree that its not wise to learn math for the sake of being a "genius", instead focusing on whether you actually enjoy it

[molten gulch]

True, even with people who are outliers like this, we don't like putting them on the pedestal that a word like "genius" implies. In the end, they are all still human

[gray jungle]

yeah i mean its good to recognize everyone is human, but its good to recognize some people just have noticably more skill than the average in a field.

[verbal ibex]

real, it's sometimes really discouraging to see people being placed on a pedestal and treated wholely differently

[gray jungle]

but i get what you are getting at, to avoid idolizing people

[molten gulch]

yeah this

[hallow oriole]

i think idolizing people is fine as long as you have a healthy mindset about it

[verbal ibex]

it's good when you see it as an inspiration rather than a goalpost you need to reach

[hallow oriole]

mhm!

me n erdos 🤞

[molten gulch]

Another issue is how quickly that inspiration can turn into a goalpost

[verbal ibex]

right

and it can fluctuate too

with music, for example, I've got artists which one day inspire me greatly yet the other make me want to curl up and cry at their genius because I'll never make something as good as them

[shy quest]

Hello! I’m and interested starting to learn mathematics both beginner and advanced levels, any recommendations to start?

[molten gulch]

What have you studied so far

[shy quest]

Nothing really

[civic hollow]

im reading Thomas Calculus and currently, on differential equations, im trying to buy a physical calculus book that I can bring in with me but the paperback version of Stewart and Thomas Calculus is pretty expensive, do you know any general differential calculus books that cover similar materials and have cheaper versions?

[remote sparrow]

buy an old edition

[civic hollow]

i have the pdf on my pc but while im in school i need a physical version

[civic hollow]

any specific older edition you fancy?

[remote sparrow]

it doesn't really matter

https://www.amazon.com/Calculus-Early-Transcendentals-James-Stewart/dp/0495011665

the hardcover for this is cheap

i really recommend the hardcover

i know it might be heavier than the paperback but it's a better product overall

[civic hollow]

well, there is one 1 in stock and it also takes ages to arrive since im shipping it from outside the USA.

[remote sparrow]

do you have amazon in your country?

[civic hollow]

yes ofcourse

[remote sparrow]

it's a pretty standard textbook; i'm sure you can search "calculus early transcendentals 6th edition" on amazon and find many vendors shipping from within your country

[civic hollow]

so you prefer stewart over thomas's calculus?

[remote sparrow]

i've never used thomas

i'm sure an old edition would also be priced similarly

https://www.amazon.com/Calculus-Analytic-Geometry-Addison-Wesley-Mathematics/dp/B000UKQDTC/

i've heard very old editions of thomas' calculus are good

[gray gazelle]

https://openstax.org/details/books/algebra-and-trigonometry-2e/

[shy quest]

Thank you!

[gray gazelle]

Np. I started with that one.

[civic hollow]

my problem with stewart`s is that it doesnt have as many things covered. like if i would buy that after 2 chapters i would be out of things to do.

[remote sparrow]

what are you looking to have covered

[civic hollow]

everything from chapter 9

wait

based on this https://rodrigopacios.github.io/mrpacios/download/Thomas_Calculus.pdf

[civic hollow]

so not sure if the stewart book would cover them.

[remote sparrow]

looks pretty similar to average calculus textbooks

does the title of your pdf of stewart contain the words "single variable calculus?"

because stewart covers both single variable and multivariable calculus

[civic hollow]

what im saying is that if i will buy one it should cover as many things as possible

[gray gazelle]

I'd recommend checking openstax calc books.

[remote sparrow]

they both do that

look, i'm just throwing out an old edition of stewart because it's cheap

it's what i used

https://www.amazon.com/Thomas-Calculus-10th-George-B/dp/0201441411

the 10th edition can be obtained used for very cheap

@civic hollow

[civic hollow]

i need a physical copy of it, i have tons of pdfs saved

[remote sparrow]

you can get physical copies of openstax calc books

[civic hollow]

they are prolly to expensive

[remote sparrow]

calculus books are all very similar now

don't worry too much about which book covers more

i totally get your desire to be as thorough as possible but we all studied from very similar books

maybe ask your teachers which calculus book is assigned?

use that

[gray gazelle]

Yeah they all offer the same, really. It's a matter of style which one you prefer.

W pfp btw.

[remote sparrow]

thanks

[signal zenith]

I hate lang I hate lang I hate lang I hate lang

Lang is easily the worst math book I’ve ever read

It’s sooooo bad

[tribal crow]

which book from Lang?

[signal zenith]

Algebra

[tribal crow]

that one tends to be a little infamous, I hear

[signal zenith]

Yeah…

My prof is using it for his class

Tbh like I wasn’t expecting the class to be very hard cause I thought I was ok with algebra and I’ve had classes with “hard” books before and been fine (eg: baby Rudin a while ago, I’m doing right now and AT class with Fomenko Fuchs)

But on the other hand I am also just negatively interested in the material

Finite group theory is insanely boring and I don’t find rings any better

[remote sparrow]

have you looked at bergman's companion to lang?

[signal zenith]

Yeah I have

It makes it like a tiny bit better but the problem is also longer

Like I’m having to read like 4 sections of lang every week

On top of 2 other very intense classes

And the reading is just so boring…

And then also extremely condensed and very difficult at the same time

I really hate it

[trail hemlock]

i thought u were talkin abt ap lang 😭

was abt to defend my fav class

[dim sierra]

Can’t have someone saying AP Lang is good on this server

[trail hemlock]

my teacher is the best

[vital bane]

is this different from finite group theory you encounter in UG?

[signal zenith]

I’m currently an undergrad, and I would say it’s different from a first course in abstract algebra in that it’s more in depth

But here’s the thing, I’m a shapes mathematician not a number mathematician

And when every proof in finite group theory is some clever combinatorial argument or one of 10 billion facts about primes

My eyes just glaze over

[left spade]

any books (or book series?) that cover math from scratch to advanced topics, like calculus and trigonometry and geometry? preferably one that explains how to do most, if not all calculations by hand, from basic arithmetic to advanced math, thank you!

[remote sparrow]

early in my undergrad, i had a pretty dismissive attitude about combinatorics

i kinda like discrete math more now

[alpine nova]

You should look into "The Art of Problem Solving". It's for students who want to excel in math, starting from pre-algebra to calculus. It focuses on problem-solving skills and hand calculations.

[left spade]

I do have one of the books, but I'm not sure if that's the places I should start, in which order should I read the books?

[alpine nova]

I find the Precalculus and Calculus books to be rewarding. However, it depends on your age and understanding.

[left spade]

well, I'd like to start from the very basics of math, pre-algebra, and arithmetic even, if they have books on the topic, up to calculus

[alpine nova]

In that case, you could look into volume 2: and beyond. It's primarily targeted towards students in 9-12 who are preparing for advanced contests, but it works fine for anyone.

There are also the introduction books, here's a website which may give you some ideas on where to start. https://artofproblemsolving.com/store/list/all-products#:~:text=Our curriculum is specifically designed for

[vocal egret]

is thomas calculus good nuff for self learning? I feel like Apostol offers more needed rigor for my IA materials

idk which to buy

[left spade]

thank you a lot!

[heady ember]

You can probably get both for free.

[vocal egret]

just checked and it free indeed. I didnt know this, thx for the info

[signal zenith]

I’m not dismissive in the sense that I think it’s easy or anything like that

I just reaaaaaly don’t like it

And I’m bad at it

[gray gazelle]

I’m been thinking like books, aren’t they just writing bs stuff to just get the book sold and make $. So how can one jump over thid

[livid lintel]

You can check its content

[signal zenith]

It falls way more into the “come up with a clever trick” style of math for me which I’m bad at because I’m not very clever. I much prefer the “think with high level new abstractions & new ways of thinking” math to the “solve difficult problems with clever tricks applied to current techniques” problems

[gray gazelle]

Yeah i mean one solutions having proffesionals in the area recommending it

[gray gazelle]

textbook authors really dont make much off books (in general)

Might be yeah, because i been thinking who would even write a book without the $ included

[gray gazelle]

Based

[rain wren]

real

[thorny silo]

Chainsaw man

That's my recommendation

It's my comfort manga

[remote sparrow]

no i was just relating my experience

i kinda think combo is neat now

[thorny silo]

It's very relatable to me.. Idk how to explain it

[gray gazelle]

Guys I want to learn Laplace Trnasformation, what is a good book that deo this, and I need to do it quick

[signal zenith]

Fair enough

[hallow oriole]

combo is the best field of math im not accepting ANY dissenting opinions there is NOTHING more beautiful than doing five billion different cases to get an upper bound of six blizzilygoogaskibidintillion

[ruby cloak]

hi please someone can tell me how to prepare for olympiad geometry from basic/intermediate to olympiad level/

[strange osprey]

could someone recommend me some good topology book?

preferably one that doesn't need a bunch of knowledge to get into

[remote sparrow]

#book-recommendations message

[strange osprey]

tysm man ❤️

[stiff tulip]

Bet

[foggy quest]

https://mtaylor.web.unc.edu/wp-content/uploads/sites/16915/2018/04/anal1v.pdf, Analysis II by T. Tao

[hallow oriole]

mendelson

munkres was awful for me

if you hate munkres do mendelson

plus it's a dover paperback, so it's cheap

[cursive zenith]

https://artofproblemsolving.com/store/book/aops-vol1
vol 1 to vol 2, helped me alot

also mostly depends on problem solving

so

[glad elm]

MTH 101: Elementary Mathematics I (Algebra and Trigonometry)(2 Units)
Learning Outcomes:
At the end of the course students should be able to:

1. define and explain set, subset, union, intersection, complements, and demonstrate theuse of
   Venn diagrams;
2. solve quadratic equations;
3. solve trigonometric functions;
4. identify various types of numbers; and
5. solve some problems using binomial theorem.

Course Contents:
Elementary set theory, subsets, union, intersection, complements, Venn diagrams. Real numbers,
integers, rational and irrational numbers. Mathematical induction, real sequences and series, theory of
quadratic equations, binomial theorem, complex numbers, algebra of complex numbers, the argand
diagram. De-Moiré’s theorem, nth roots of unity. Circular measure, trigonometric functions of angles of
any magnitude, addition and factor formulae.

Hi guys any recommendations for a textbook which covers the totality of the above topics to the extent needed for the first year of undergrad?

[quick hornet]

the course might have a publicly available syllabus

or you can ask the prof

[glad elm]

This is actually an excerpt from the programme manual.

[glad elm]

I'll probably do this.

Thanks.

[remote sparrow]

https://www.amazon.com/Introduction-Electrodynamics-David-J-Griffiths/dp/1009397753

apparently there is a new edition of griffiths

@vital bane @molten gulch

[molten gulch]

:3

We are aware

[tribal crow]

you got me thinking Griffiths released a 6th edition LOL

[remote sparrow]

nah, i just decided to post about it here since it showed up on my amazon feed

[merry sphinx]

q, someone here once sent a real analysis thing (idk if it was a book, or lec notes) that was titled something like "a purely topological approach to real analysis", without epsilon delta stuff, i couldnt find smth like that after a couple google searches so im wondering if anyone here knows anything about smth like this

[molten gulch]

same

[ruby cloak]

hi please someone can tell me how to prepare for olympiad geometry from basic/intermediate to olympiad level/

[timber mesa]

a decent book is Evan Chen's Euclidean Geometry in Mathematical Olympiads

for actual study tips and e.g. appreciations on the actual olympiad you plan to take you may have better luck asking in #competition-math and the olympiads server (see that channel's description)

[ruby cloak]

thankyou

[remote sparrow]

i just received my copy of dag westerstahl's Foundations of Logic: Completeness, Incompleteness, and Computability and so far, it's pretty much a more modern and readable mendelson @lean pagoda @torn crypt @heady ember @tawny crater

https://press.uchicago.edu/ucp/books/book/distributed/F/bo198592752.html

let me reproduce the table of contents in a minute

[rough umbra]

whats the class?

[remote sparrow]

a graduate introduction to algebra

[rough umbra]

Ah i see

Oh yeah I’m taking a graduate course in noncommutative algebra rn that’s very closely following Herstein’s Noncommutative Rings, and I highly recommend the book

[hallow oriole]

noncom alg is so cool

[rough umbra]

The structure theory sort of stuff with the Jacobson radical, Jacobson density theorem, Wedderburn artin, nakayama’s lemma, etc has been so so so cool

We’re on noncommutative localization rn, so like ore condition, Goldie’s theorem

Also super cool

[rough umbra]

So true !! My ura next term is in it :))

Specifically, noetherian hopf algebras

[hallow oriole]

what's a ura?

[hallow oriole]

whoa fancy frfr have fun

[rough umbra]

Am reading Hopf Algebras and their Actions on Rings by Montgomery rn, and also Hopf Algebras: An Introduction by Dascalescu, Nastasescu, and Raianu. Will maybe post reviews when I’m done

[rough umbra]

Undergraduate research assistant (term)

Like a full time work term where I do research

4 months

Then go back to school

[hallow oriole]

waittt

that's awesome actually

that sounds so fun

do you get credits?

[rough umbra]

I’m in a coop program, so I get a work term credit

But I also just get paid

Since it’s a job

[rough umbra]

Ty I’m so hyped

Noncomm is very cool

[hallow oriole]

yepp

i like the comm side of things more bc my profs talk to me abt it more atm but noncomm is awesome

it's also super hard

good luck

[rough umbra]

Yeah no this is the hardest course I’ve ever taken (but that’s also prolly cause it’s my first grad course)

I’m taking commutative algebra as well and that’s pretty cool

It’s really cool doing them in the same term bc I get to see stuff like localization, the Jacobson radical, nakayama’s lemma, etc explored in two different perspectives :) which is very neat

[trail hemlock]

guys

dover books look nice

and are cheap

gimme some good ones

[remote sparrow]

in which subject(s)?

[trail hemlock]

topology

i read a point-set book (conway), it would be nice to have a good reference book

[remote sparrow]

gamelin/greene and willard

[trail hemlock]

conway's book is also ... 64.99 for 154 pages🤦‍♂️

[trail hemlock]

gamelin is $4.00 and free shipping ... perfect thanks so much

[remote sparrow]

@trail hemlock also, i've never looked at b. mendelson's topology textbook, but @hallow oriole rather likes it

[hallow oriole]

yes!

it's great!

i'm not sure i would categorize it as a reference but i love it

[remote sparrow]

oh, and there's the indispensable Counterexamples in Topology

https://www.amazon.com/Counterexamples-Topology-Dover-Books-Mathematics/dp/048668735X

[hallow oriole]

maybe also try kelley's topology book!

it should also be dover and some people i respect have (probably biased) rave reviews

[trail hemlock]

well i found an international edition of Munkres for 8 bucks

but the dover covers are so pretty

uggg

[remote sparrow]

https://www.amazon.com/General-Topology-Dover-Books-Mathematics/dp/0486815447

it is a dover

but i believe people say it's rather old-fashioned

[trail hemlock]

dover is like the kona coffee single origin to springer's peet's coffee

if that makes sense

[remote sparrow]

i don't know what pete's coffee is

also, considering my experience with starbucks, that would imply dover is overpriced

[trail hemlock]

wait

hmm it made sense in my head

[remote sparrow]

munkres is really the ultimate reference

[trail hemlock]

ehh i mean aside from refernce for pst, i DO need to learn more than just point-set

[remote sparrow]

it's also good to learn out of

of course, you won't necessarily need everything from munkres depending on your interests

[hallow oriole]

there are places you can get a pdf printed for cheap! if you can legally acquire the pdf and format it correctly you shouldn't have a problem

barnes and nobles will do it

libby will too

[remote sparrow]

i know daminark is a big fan of lee's ITM, but the coverage is not suitable for, say, students interested in further studies in logic

[hallow oriole]

not sure of shipping outside the US but printing is gonna be 10-15$

[trail hemlock]

legally acquire the pdf?

[hallow oriole]

yeah

[remote sparrow]

i'm sure lulu can do it too

[hallow oriole]

like buying it

[trail hemlock]

:(

[hallow oriole]

or using uni access

[remote sparrow]

well we aren't allowed to talk about illegally obtaining the pdf

[hallow oriole]

yeah

[trail hemlock]

o_o this could work, actually

my friend has uni access

[hallow oriole]

but hypothetically if you did im not sure they would check, but with things like this it's best to be cautious

[remote sparrow]

but i have uploaded random pdfs to lulu and i don't think they particularly care about the origin of the pdf

[trail hemlock]

yeah ... im not brave enough to do allat

[remote sparrow]

just keep the file private

[hallow oriole]

^

[trail hemlock]

lulu?

[remote sparrow]

self-publishing company

[hallow oriole]

it's a library thing

[remote sparrow]

https://www.lulu.com/?srsltid=AfmBOorb5tSPdMsl1mcb9AMtKQ_OJ2Mg0EwFVcMCx9O8013Y2JB7FGfG

[hallow oriole]

huh

oh mixed up libby and lulu

[trail hemlock]

oh wow

[hallow oriole]

https://www.lulu.com/create/print-books

[trail hemlock]

i actually have a legal (actually legal) pdf

[hallow oriole]

this is the part that should work

i got a book printed from barnes and nobles, it was really easy but i don't like the cover

[remote sparrow]

the restrictions on what kind of pdfs you can upload can be a bit finicky to work with

[hallow oriole]

that too

im not sure it's realistic without adobe acrobat depending on the source you originally get it from

completely unrelated but adobe is a shitty predatory company and in cases like these there are some things that are 100% justified

[trail hemlock]

Page Layout: The page size or orientation differs within your PDF. Please ensure that all pages are the same size and oriented the same way (Portrait or Landscape). Learn about print size and orientation.
ffs this is directly from springer pdf 🤦‍♂️

[hallow oriole]

oh yeah

with springer the cover page is formatted differently

just delete it

it'll be weird anyways bc you'll print the cover on the first page...

you have to submit a separate cover file

[trail hemlock]

yeah this is too much work

im gonna stick with the road most travelled, and go with munkres

ill get gamelin cuz its 4 dollars and why teh fuck not

[remote sparrow]

on the other hand you can make your own pretty covers!

[hallow oriole]

oooooooooooooh

[remote sparrow]

if you so choose, you can make bootleg springer covers

[heady ember]

Springer cover at home:

[remote sparrow]

you: "mom can i have a springer book?"

mom: "we have springer at home"

ah beat me to it

obviously, i chose to omit any mention to springer

[hallow oriole]

wait what's the texture of the cover like

is it like the springer books

[remote sparrow]

like...an average matte?

i go with matte

[hallow oriole]

hmmmm

i prefer glossy-ish

either glossy or like, threaded

[trail hemlock]

spr*nger

[hallow oriole]

i just can't find a printing option for it fsr

[trail hemlock]

oh i wrote a lang essay about how springer has overpriced books and so forth

got a 100

[remote sparrow]

you can choose to have your cover glossy or matte though

in the design process

[hallow oriole]

b&n doesn't have that

ugh

[remote sparrow]

oh

try lulu next time

[hallow oriole]

also another fun thing you can do is write the printing costs off as education for tax stuff

if you get the pdfs for free from uni access or something it's basically free money frfr

[remote sparrow]

inb4 0 tax

[remote sparrow]

@fallow cypress @weary fox

[tawny crater]

Mazel tov!

Good to hear haha

[rough umbra]

When do you guys decide you want to own a physical copy of a book?

/what makes a book one that you purchase a physical copy of

[heady ember]

Indeed, I sprung on the opportunity to snipe

[marsh ingot]

If the topic and author interest me enough

[timber mesa]

that and usually the idea that I'll be consulting that book often in the following year or so

[marsh ingot]

Prefer smth physic rather than pdf

[open merlin]

How much real analysis would you recommend before diving into MIRA/Folland.

Would Abbott be enough or would you want something like baby rudin, or maybe Tao's Analysis II first?

[timber mesa]

familiarity with epsilon-delta type proofs is enough for measure theory, Abbott is prob fine

[fallow cypress]

Very cool!

[rain wren]

I have failed as a teacher

[trail hemlock]

what?v

[rain wren]

I hate munkres.

particularly for self-study

pointset is on its own incredibly dry

and munkres makes it worse

somehow

it's a good reference, sure, but you'd be much better off using something like lee

[trail hemlock]

u told me this and it shaped my approach to point set

which was not as dry as i thought it would be

[late pivot]

what’s good for analytic NT?

[gray gazelle]

Thoughts on Mendelson’s Topology book?

[mystic orbit]

Then why choose munkres 😭

When there are much better options

[hollow shore]

Has anyone here used Schroeder's Analysis textbook?

I want to review convergence and then maybe cover the standard sequence which entails Metric Spaces, Functional Limits and Continuity and then Riemann Integration

My impressions so far has been good. The exposition motivates various proof techniques involved and there are mini commentaries on logical leaps made in the proof.

I wonder what other people here who have worked through it feel like

My other alternative is working through Abbott but I dislike the tongue and cheek approach at times and want smth that is comprehensive yet accessible

[late pivot]

uhh

@hollow shore maybe u could try royden

[hollow shore]

looking at the toc. It has Lesbegue measure in Chapter 3!

[late pivot]

yeah… i think it’s a graduate text actually oops

for undergrad level real analysis… i

[hollow shore]

💀

[late pivot]

don’t know of any good recs

tao is ridiculously difficult

Cause he leaves all important theorems as exercises…

Abbott is nice but a bit whimsical

[hollow shore]

hmm

I will give Schroeder a shot for now

[surreal thunder]

I’m looking for some recommendations on maths books for learning the fundamentals. Maybe in the direction of discrete math + applied math that’s used in computer science. Some context: I’m a programmer working in the industry for a few years now so I have a depth of understanding when it comes to writing software, but I often find myself falling short in applied mathematics fundamentals especially when reading papers while doing research, since I work in database systems I’m reading through the hyperloglog paper but the amount of math is scary and doesn’t make sense to me LOL. I have practically zero math background and am looking to pick up some books to help remedy my stupidity in this subject.

[remote sparrow]

i think it depends on the book you're going for. MIRA doesn't require metric spaces until chapter 6, which has a short review section for it

[remote sparrow]

folland assumes familiarity with metric spaces. rudin or carothers should be adequate for the metric space material, but optionally you may reference gamelin/greene, magnus, or o'searcoid

[remote sparrow]

@heady ember @gentle arrow

[remote sparrow]

bartle and sherbert is good

[gray gazelle]

Any good book on predicate logic that doesn't explain the for_all and exists operators by using set theory?

[lost pilot]

You can not explain the for all in exists, without using set theory.

[remote sparrow]

i'm not sure what you mean by "not using set theory"

[lost pilot]

They all implicitly use set theory. For all means for all members of some set. And there exists means there is at least one member. of this set.

[remote sparrow]

are you worried this is somehow circular?

do you know the difference between an object language and metalanguage?

[lost pilot]

I don't think she needs to know it to understand what for all and there exists are

[gray gazelle]

I was trying to teach first-order logic w/o introducing set theory yet if it was possible, but maybe it isn't

[lost pilot]

You don't need to be able to read Tarski to understand those two Predicates

They need at least a little bit of set theory. I would try Peter Smith's book It's freely available on his website Introduction to First order logic. There's some mistakes in it, but he has a list of errata

[remote sparrow]

well they didn't specify what their purpose was, so i assumed they were looking for some metalogic textbook like enderton (but this doesn't satisfy the criterion given ofc)

pretty much no one outside of foundations

[lost pilot]

A set theory class, their entire classes for set theory.

[remote sparrow]

yes, you need a dedicated class

[lost pilot]

If you're in a discrete math class, you're touching it too

[remote sparrow]

even so, the treatment can be semi-formal (lists axioms in natural language) rather than formalized in first-order logic

[gray gazelle]

Yeah, i don't think discrete maths teach axiomatic set theory

[remote sparrow]

semi-formal treatments include enderton, goldrei, and hrbacek/jech

[lost pilot]

No, but I'm saying they touch. set theory. I got taught the piano axioms in it. But you're right. You won't get taught ZFC.

[remote sparrow]

if you're just talking about quantifiers at that level, you can just mention the intuitive semantics of the quantifiers