book-recommendations

[remote knoll]

We just cannot allow it on this server

There is obviously nuance here that I'm not bothering to go into

But like, if you want to pirate, more power to you.

This is a little too close to a method tho, so I need to delete it.

[lavish radish]

if the price is reasonable i'd buy the physical copy

[tiny gulch]

based

i respect you a lot more now

[clear jay]

https://www.amazon.co.uk/Comprehensive-TMUA-guide-Specification-Questions/dp/B0BBXXC52R/ref=pd_lpo_sccl_1/259-6324664-1234413?pd_rd_w=x9W3M&content-id=amzn1.sym.efc89c20-c5a9-4620-b6cd-2f4e51bac956&pf_rd_p=efc89c20-c5a9-4620-b6cd-2f4e51bac956&pf_rd_r=ADK6Q1V5HAM5A4BJZVE4&pd_rd_wg=9zEG1&pd_rd_r=0b13bb72-96eb-4522-ba42-0b9fbc6e21b3&pd_rd_i=B0BBXXC52R&psc=1&_encoding=UTF8&tag=skimlinks-amazon-21

[brazen grove]

can i ask if i should go with this one or another similar one like this

any reason you choose that one over this ?

[cunning elk]

don’t ask that in this server

[remote vortex]

Read the messages directly above yours for an explanation of why we can't ask for or provide pirated content in the discord; pinging <@&268886789983436800> just in case.

[compact copper]

as said above ^^, as a partnered server we must adhere to ToS

[daring wolf]

tfw rando people asking for illegally pirated content 24/7 when there is server rules

[remote sparrow]

don't know who stahl is

[marsh egret]

can y'all recommend me some books that may help me with derivatives if i dont know almost anything about it ? with tasks and practice questions

[molten gulch]

thomas' calculus

[marsh egret]

i need to start off simple, is it good for newbies in mathematical analysis ?

i meant calculus

[molten gulch]

yes

[molten gulch]

for analysis, read abbott's understanding analysis

[marsh egret]

alr thanks

[normal crystal]

🙄
nth time today

[main swift]

😂

[toxic ivy]

I have but idk how to send it, and its transcendetals version

[normal crystal]

do you guys really not see the other warnings TODAY

[toxic ivy]

I m new

[main swift]

same

[normal crystal]

ok, you can still read right above

[cunning elk]

😭

this shit has to be coordinated or smth

[main swift]

🤫

[willow merlin]

what is the standard linear algebra textbook that was used for your couse?

I accept proof and computational course answers

thanks in advance

[toxic ivy]

"Linear algebra and its aplications" for computational

I have been using

[willow merlin]

by anton?

[toxic ivy]

By David

And "Introduction to linear algebra" by strang

[brittle quarry]

I’ll forever be a proponent of LADR by Axler

[toxic ivy]

Isnt it for more proof?

[brittle quarry]

Yeah

[willow merlin]

ok thanks

[last cipher]

Any good affordable algebra books?

Im thinking of Jacobson's Algebra I

or Pinter's Algebra

[foggy quest]

A good free one here covering select topics in algebra, including rings and modules: https://mtaylor.web.unc.edu/notes/linear-algebra-notes/

[willow merlin]

which book explains subsequences from the beginning

[tribal crow]

@toxic ivy welcome to the mathcord!

[brazen grove]

Any higher level synthetic geometry book ? Like something that builds on the high school proofy geometry not cartesian geometry

[cunning elk]

evan chen, euclidean geometry in mathematical olympiads

has become the de facto bible for very advanced HS geo

[brazen grove]

Wondering how deep this rabbit hole goes (I think not very deep)

[cunning elk]

olympiad geo is still beyond me even towards the end of my undergrad

[brazen grove]

But its still not a course in any uni ?

[cunning elk]

nope

[brazen grove]

Also why call it olympiad geo… like whats its history… did pure geometry stopped developing as a field and just became a tool to make hard questions?

[cunning elk]

im not too sure on its history

and/or how active that field is compared to other areas of geo

my guess would be not too active?

[ripe pagoda]

#advanced-lounge message

There was a similar conversation two months ago

[cunning elk]

oh aight

[toxic ivy]

That depends on the country i guess

[toxic ivy]

Principles of mathematical analysis by Rudin is good. If u want a full picture Understanding analysis by Abbott is good to take at the same time

[broken cosmos]

Are books good to gain intuition about a certain topic? Like i have been using youtube so far for most things but youtube started to become not enough D:

[fresh skiff]

You cannot learn everything from YouTube, eventually you have to use the books. And of course good books are good for intuition if you are a good reader. By good reader i mean you don't read math books like a novel.

[toxic ivy]

I think its depends on the book

[broken cosmos]

Is there any book that explains laplace transform intuitively?

Like i tried to understand it through youtube only

I do get the intuition behind it in terms of fourier series and those sorta stuff

But i dont understand the relation for using it for differential equation

Like ik that its very useful but idk why is it useful for differential equations

Like couldnt we transform our function in any other way that could make our differential equation easier?

And there werent really any good resources on youtube that explained that D: (or i just didnt dig deep enough idk)

[toxic ivy]

I have been using mit courses for 18.03 so idk about others videos, i think its not deep subject so there is definitly many books about it

[broken cosmos]

Or maybe i can try asking this on ode-pdes channel

But then it feels like i am being too dependent on people so idk

(But using books is also kinda depending on people D:)

[toxic ivy]

U always depend on people xd

Everyone does

[short falcon]

Lowkey need a good highschool-UG math book

Any recommendations?

[foggy quest]

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

[broken cosmos]

Thank uu

[fresh skiff]

[torpid gust]

any resources on finite fields?

[full cairn]

Keith Conrad has some nice notes: https://kconrad.math.uconn.edu/blurbs/galoistheory/finitefields.pdf

Also look at the other notes under "Galois and field theory": https://kconrad.math.uconn.edu/blurbs/

[elder atlas]

anyone who can recommend me book about probability in freshman?

[quick crane]

"You don't read math books like a novel" hit me very hard

That was a very creative line, ig

[fresh skiff]

taken from LADR (axler)

[quick crane]

I don't really get it's second line. It depends on the page content and ig 30 min for one single page is a lot, unless it's an exercise page :)

But if you are reading a very advanced book like Fourier Transform then giving a page 30 minutes might be a great idea

Atleast what seems good for u

Because there exists some people who grasp concepts fast

[quick crane]

But yeah the "as you should verify" stuff in it really makes a lot of sense and I also do it

If u see a theorem in a book, u should atleast TRY to prove it

[drowsy thicket]

Many people say something along those lines, a variation being 'the amount of time needed for a page is not measured in seconds or minutes, but in hours.' (this one is directly from a German book, though I've heard it in English too)

[sturdy shore]

30 minutes for one page is definitely not a lot

obv depends on the book

[vital bane]

me spending 3 hours reading the preface

[gray gazelle]

^ i agree

i always force myself to as fast as possible, this is damaging

[toxic ivy]

I spend as much time as i need to understand the topic clearly, then move on

[hollow shore]

how is Silverman's A friendly Introduction to Number Theory?

In terms of exposition, exercises, pacing, pedagogy, etc

[cerulean steppe]

It doesn't use calculus, so I have a feeling it's not great

[hollow shore]

does Number Theory need Calculus?

[cerulean steppe]

Yeah, it's called "analytic number theory".

Like prime number theorem, for example

[hollow shore]

Oh I am sorry I didn't clarify before. I am just trying to do a course on Elementary Number Theory.

getting my feet wet with it

[cerulean steppe]

There are parts of number theory that don't require calculus, and even analytic number theory books start with those

e.g. "Introduction to Analytic Number Theory" by Apostol

[hollow shore]

I picked Burton at start but couldn't find good problem sets for it online.

[cerulean steppe]

I know very little number theory, but with my background in analysis, I know I would enjoy Apostol's book more than Silverman's. The prime number theorem is intriguing.

[hollow shore]

Thanks. I will look into it.

[sturdy shore]

I don't specialize in NT but I feel like this comment is a bit suspicious

[full cairn]

Is Apostol really a good intro to elementary number theory?

[stray veldt]

no

silverman is fine

hes a good author

[daring wolf]

[remote sparrow]

https://a.co/d/76Z8Rhh

[cursive rivet]

I somehow doubt this exists, but does anyone know a good book/notes on algebraic topology as applied to differential geometry that isn't Bott & Tu?

[gray gazelle]

https://math.stackexchange.com/q/3045891 looking for books similar to the little schemer. any ideas? please check out the link for a more detailed explanation.

[normal crystal]

it's a whole series, start with that

[gray gazelle]

guess i'm looking for 'math' books in this style

[normal crystal]

that post didn't get 1 reply in near 7 years
I've seen Dover has a couple books that are refreshers on arithmetic and Trig in a vaguely similar format
I doubt there will be any advanced math books like that
maybe if you're more specific someone will chime in

[last cipher]

my first couple of dover books

beautiful preface tbh. Love how the author recognizes the "mathematically traumatized"

[gray gazelle]

thanks for the rec i'm psyched to look into these books

[normal crystal]

I don't think those two were meant for your request
but either way

[zealous whale]

Mathematically traumatized sounds like me

[gray gazelle]

ah mm, dover books in general. never seen this publisher

[last cipher]

I also have this little analysis book

reprinted by dover

Its no longer produced i think

[loud vault]

anyone know of good places to look for cheaper copies of james stewart calculus?

[last cipher]

your local thrift store will definitely have it

[normal crystal]

Amazon
Ebay
Bookfinder

[loud vault]

would you know any places to recommend in either london or york??

no worries if not of course

[normal crystal]

UK has a few major used book sites beyond Amazon and ebay

[fresh skiff]

Yes verify statement is the key i guess. Sometimes authors say: every closed set in R is an one dimensional manifold with boundary. Altho it is easy to construct a chart, but still verifying is worthy

[fresh skiff]

Oh it really depends. Sometimes you can read a couple of pages in an hour and sometimes you couldn't complete a single theorem in couple of days

[viral knoll]

I have the saturnino salas calculus book, should I buy AE taylor's advanced calculus aswell?

[last cipher]

After reading Trudeau's graph theory (basically a third of the way through already), what's another book that approaches it at a more advanced perspective

[vital bane]

Camouflage:

[remote sparrow]

bollobas, bondy and murty, and diestel are some options

[sterile pelican]

Is that the Riemann-banana integral?!

I recognised that notation!

[vital bane]

Yup, closely related to the Riemann-Horseshoe integral

[timber mesa]

something something yellow book indicates danger

[sterile pelican]

Only if it’s Hartshorne

[viral knoll]

ABOTT MENTIONED 🗣️🗣️🗣️

Friendly ass book

[viral knoll]

Yes springer books ARE dangerous

[remote vortex]

It's the Bananach fixed point theorem

[vestal junco]

Prove that the preimage of the banana is closed

[fresh skiff]

Banana is a 2 - manifold with boundary

[vestal junco]

English please😭

[vital bane]

Real! (Literally)

[viral knoll]

I love abott its so much like your dad is teaching you real analysis

[normal crystal]

that probably sounds terrible for most of the server

[vital bane]

Nah more like Abbott himself sitting down and teaching you analysis in a 1 on 1 class

[viral knoll]

Makes sense

[brazen grove]

Guys is there anybook that teaches conics really well like first derives them all from a cone and shows that if angle of plane changes the shape changes
Then also gives general equation and identification from general equation of conic and also specific equations and show how to convert and all the formulas aswell like eccentricity and in polar and cartesian coords

[little coral]

what do you suggest for graph theory?

[digital onyx]

Is there any books that have content over indexing and index sets property

How to label and stuff like that

Especially when the index set aren’t natural numbers

[hidden blade]

prob Halmos "Naive set theory", section 9

[digital onyx]

Thanks

You’re a hero

[last cipher]

i had the choice of either rudin or abbott

good thing i got daddy abbott 😏

[viral knoll]

diabolical

try both

Id say

you wouldnt regret

abott

then rudin

[last cipher]

ive been wanting a copy of rudin

[viral knoll]

Want it?

I have it

[last cipher]

i cant with pdfs they make me have a stroke

[viral knoll]

oh

sorry I have pdf

[last cipher]

[viral knoll]

I use print out books tho

[last cipher]

you can send jt through tho

[viral knoll]

alr alr check dms

[last cipher]

best rudin typo in the world

[viral knoll]

RS

z feeling left out

[dapper root]

It’s not a typo that’s exactly what he meant to say

[steady eagle]

It's actually true

[timid lion]

in the definition is diabolical

[dapper root]

Only the strong survive 🚬

[pliant axle]

Fr Oml

[viral knoll]

rs

[odd cargo]

some folks really do sleep on the bible (Euclid's Elements)

[timid lion]

this is elements at the LOC last week

[odd cargo]

thats an artifact lol

[timid lion]

yupp from jefferson’s library

[odd cargo]

i wonder if it was translated before trichotomy proof

i dont remember when that was proven

[timid lion]

what is that

[odd cargo]

law of trichotomy

just something that applied more rigor to ancient "intuitive" maths

[timid lion]

oh

i would assume yes because ZFC did not start until well 100 years after jefferson died

[odd cargo]

great book for pre-u math enthusiasts

if yall know a good electromegnetism for mathematicians book, LET ME KNOW

[wintry quartz]

what are you looking for

[odd cargo]

a book

[wintry quartz]

yeah but electromagnetism for mathematicians usually goes into gauge theory

so are you looking for plain EM

or stuff on manifolds

that generalize the theory

[odd cargo]

https://tenor.com/view/harry-potter-wizard-everything-balling-gif-13232110

[odd cargo]

how good is this book

[wintry quartz]

Idk I'll have to think about a book to begin with

[odd cargo]

is it an introductory book, or does it prepare you for the nitty gritty

[wintry quartz]

but I have an idea

[wintry quartz]

its intro but goes into forms and stuff

[odd cargo]

let me check it out

[wintry quartz]

ELECTRICITY AND MAGNETISM FOR MATHEMATICIANS

this is the book

it does pretty much everything

but keep in mind ive only done up to chapter 11-12

[odd cargo]

available online on my uni library

[wintry quartz]

it also goes into yang mills but I haven't done those parts

but its also for like 2-3 year undergrad so I wouldn't expect much from it

[odd cargo]

thats pretty much most of the fundamentals

[naive lava]

you can never go wrong with Griffiths, Jackson relies on more heavy mathematical machinery, but you should probably look at the book by Wald

I also heard that Zangwill's book is good, but haven't read it

keep in mind that these don't go into gauge theory deeply, if you want that, I can reccomend something for that too

[odd cargo]

[daring wolf]

Lang algebra

good reference but horrible book

[low cedar]

yeah I also heard someone else say it's not good

[sturdy shore]

It's a great book if you already know algebra

[daring wolf]

Didn't Graduate Texts in Mathematics

Algebra (No Clues)

• For Professional Algebraists

Serge Lang

(some random commutative diagrams)

Springer 2025

[tribal crow]

@odd cargo welcome to the mathcord c:

[remote sparrow]

if it's a good reference, it's a good book. not every book needs to be good for learning to be good

[daring wolf]

yeah i said it's good reference above.

[remote sparrow]

yeah but u said it's a horrible book

[daring wolf]

i mean horrible for learning

I actually use it finding some random random things I forgorr

[brisk crypt]

Can somebody recommend a good book with questions for linear algebra(group theory)? I have no idea what it is and am just starting it as a UG

The reason is because my first year is gonna start soon and I wanted to learn about it beforehand

[brisk crypt]

[broken totem]

i don't know about group theory, but i hope Lay et al's Linear Algebra and Its Applications would help for the linalg side

[brisk crypt]

What about Robert j valenza's book on linear algebra, an introduction to abstract mathematics

[broken totem]

can't speak for that book as i have not read it, sorry
and i also separate linalg from abstract alg

for abstract alg i use Dummit & Foote

glancing through the ToC reveals that a lot of Valenza is covered in Lay, though there might be some abstract applications not covered by Lay

[remote sparrow]

#book-recommendations message

[last cipher]

I recommend Linear Algebra by Keith Nicholson. It balances theoretical and applicable aspects and goes through a lot of content

But thats just my personal bias because its the book my university uses

[fierce silo]

hi guys. i would really appreciate some help. i am starting stem economics college and i want high grades. i am doing a whole lot of math and i will probably need some recomms to learn these topics

[last cipher]

Get a discrete mathematics book and a calculus book

[fierce silo]

what book 🧍‍♂️

please gimme a pro book. i need an easy pro book

[last cipher]

Discrete Mathematics by Rosen

Stewarts Calculus

Exponential and logarithmic functions can be covered by Khan Academy

[fierce silo]

thank you

[past night]

Any good resources for combinatorics? Studying for usamo btw

[viral knoll]

Use this one

[brisk crypt]

Wow thanks!

[brisk crypt]

Does it have questions with solutions?

Examples basically

[brisk crypt]

Also thoughts on this book?

[last cipher]

yes

lots of them

heres a sample if you like nicholson's style of writing

[spring night]

Any books for multivar calc

Smth not too formal

For engineering

But with sufficient proofs

[wild blaze]

James Stewart is used in a lot of universities

not proof based but it’s a really easy read

i forgot what chapter it starts I think 9-14 or smth

[spring night]

Oh yeah then can you suggest me smth for proofs too

WB thomas calculus

[wild blaze]

Mmm idk I think a lot of the proofs come from analysis for calculus

[daring wolf]

with proofs? while for engineers? you'll need tools from analysis so it may be hard to find one tbh

[spring night]

I like maths

[wild blaze]

then do abbot’s analysis

it’s an introductory book it’s not for engineering but the proofs are there

[spring night]

I don't want to do pure maths though
Sometimes I just wanna see the proof of a theorem to understand it well

[wild blaze]

analysis proofs are used in the concepts of application

[spring night]

So

[daring wolf]

like we can't prove every continuous functions on compact set attains a max/min without mentioning analysis things

[wild blaze]

idk what you’d be looking for besides an engineering differential equations course I think those apply math to applications of physics and engineering

most of the proofs that are derived in calculus are mentioned in ms/hs algebra 2 and pre calc

if not they’re in analysis

[spring night]

Hmm

I'll do stewarts and get abbots for when I want proofs

[sage python]

Abbott won't do any multi, just single variable with proofs

And truth be told the proofs in multi are very multi

[gray gazelle]

any books for propositional logic and set theory? i'm using "Discrete Mathematics and its applications 8th edition" by Rosen, but i dont like it very much

[molten gulch]

Just do analysis

[grim ore]

If you plan on going into a book with proofs on multi var calc, tbh having friends who are doing phds in engineering; they are required to learn proof techniques depending on what they are pursuing

anything calculations would be fine enough; but if you want to do theory, then proofs are a requirement for even engineering aka you would really be looking at math texts accordingly bc there isn’t an “analysis for engineers” kinda text but more so they take the concepts from analysis after having some study of it, and then apply it to their studies

if you are in the other boat where you had mentioned you wanted to understand the work that you are doing when you doing these problems; then honestly, you’d have to just practice doing those problems more

If you can’t do the problems / calculations already then there isn’t a purpose for learning the proof imo bc understanding why something is true or why it happens doesn’t equate to being able to apply or understand/utilizing it

This also applies to math majors too tbf ppl think things would change if they look at the proofs of it all only to be more lost or have a half understanding; i’ve seen many ppl do this

iirc spivak is known in the engineering field ( never read it myself )

i think most math ppl don’t like it tho but idk

maybe if engineers like it, it would make sense math ppl don’t in a way lol

[timid lion]

who doesn’t like spivak…

[daring wolf]

rudin > spivak

[fiery shard]

want a book for learning math for fun, no school deadlines etc, just as a hobby tbh, any guides? pref calc or alg 2 level

[toxic ivy]

U want more profs or computation

[odd cargo]

calculus for the practical man

[timid lion]

spivak

[dim pendant]

learn calculus and then read "elliptic tales"

[long mirage]

i can recommend 1984 by george orwell

[tiny gulch]

omg jorjor wel

[torpid hedge]

Hello guys

Need book recommendations for beginners in statistics and data science.

Books and online resources will be fine.

Like want to cover the fundamentals of statistics in the best way possible so as to build from the ground up kinda thing

Any suggestions?

@everyone

[slender wasp]

Apostol Calc II. It is completely rigorous, has all the proofs, but not a whole lot of proof exercises which seems to be what you want....

[last cipher]

Apostol my beloved

❤️

[deep moat]

Replying to your message, @torpid hedge

#book-recommendations message

If you keep scrolling you might find more resources re: stats

either up or down

I think me and SourDrop provided enough

[timid lion]

if you want something lighter, openstax is good

[warm sigil]

[heady ember]

You're saying it as if 10 pages a day isn't fast

Of course, what's considered fast is contextual.

[molten gulch]

that's absurdly fast tbh

[heady ember]

Yeah

At maximum gigagrind speed I only managed about a section a day of FIS

[molten gulch]

Man I'm happy to do 2 pages in abbott a day (on a good day)

some days I'll stare at a theorem and try to dissect its proof for a bit

and that'll be it

But those are generally also days when Chronic Pain Moment

[heady ember]

If its an interesting theorem, I can be happy to prove it in a day. Or even be overjoyed to be able to prove it at all.

[heady ember]

_Narrator: Those are most days. He is just coping _

[molten gulch]

They*

[molten gulch]

but yeah this is actually quite accurate

@vital bane has a competitor in slowest Abbott reader now (2 chapters in just over 6 months)

[heady ember]

I was unsure of whether my proof was correct or not.
I spent 2-3 full days on programming something out in Julia (plus making an improved version with automation)
I wanted to improve my LaTeX verbatim typesetting environment
I have spent more than a week on said environment

I finally resolved the last known bug today

[molten gulch]

MECORE

[heady ember]

Mecore?

[molten gulch]

I'm basically the same way

[heady ember]

https://tenor.com/view/predator-arnold-schwarzenegger-hand-shake-arms-gif-3468629

[molten gulch]

literally

[heady ember]

Now I'm gonna brush up some of the code + write docs

[molten gulch]

you're like if someone gave my front lawn sentience and gave them a christmas hat

[native cradle]

3 chapter over 3 here

😔

[potent pumice]

Any good book recommendations?

I have read Harry and Percy

[grim ore]

idk if these are math authors but are you talking about Harry Potter and Percy Jackson?

this is kinda humorous

[potent pumice]

Yeah

Potter and Jackson

I'm too lazy to write full names

[grim ore]

Yoooo W

[potent pumice]

?

Wdym

[grim ore]

If you like those; try the other Rick Riordan Series; I loved the Heroes of Olympus more than Percy’s ; also all of his books are in the same universe

[potent pumice]

We all need that Uncle Snape with Ares/Dinoysius

[potent pumice]

I already read heroes of Olympus

[grim ore]

Kane Chronicles and Magnus Chase as well?

[potent pumice]

No but those are not greek

It's Egypt and nordic

[grim ore]

ehhhhh true

What do you like as a genre?

[potent pumice]

Comedy or adventure

[fluid violet]

What's a good resource for learning Rocq/Coq? I'm looking for something which assumes prior knowledge in (functional) programming and type theory as well.
Is the reference manual from the Rocq website good?

[frosty wing]

Book recommendation for Abstract Algebra?

[grim ore]

Yeah tbh i kinda went down a whole diff rabbit hole after finishing all of the classic fantasy novels of the 21st century. You could either go back and read classics of the 20th century which i love HG Wells novels; namely the time traveler, but he’s more known for War between Worlds

i started getting into really gruesome detailed books with murders

i guess adult fiction

[fluid violet]

What background do you have?

[potent pumice]

Ooh i see

BTW if I am writing a book

Which server should I be in?

Cus I'm writing a fantasy book

[frosty wing]

First year

[fluid violet]

Do you know, say, linear algebra?

[frosty wing]

Yea

[grim ore]

I write a lot of short stories; i’ve never gone as far as to join a discord server ; but tumblr is a really good place for inspiration and ppl with similar mindsets

idk i might be old school tho ; oh god

[frosty wing]

Ofc

[fluid violet]

Okie doke

[grim ore]

maybe there is a tumblr discord

[potent pumice]

I ain't joining tumblr

[fluid violet]

So there's

• Dummit & Foote (it's pretty exhaustive)
• Fraleigh (I haven't read it, but it seems well-written)
• Aluffi (this takes a categorical point of view, which may be hard in your first year)
• Artin (when I first started learning AA I used this, but I didn't like it)

[potent pumice]

.

.

Wdym by learning AA?

[grim ore]

yeah sorry ; you saying you don’t want to use tumblr as a writer is ludicrous and preposterous imo haha but i guess that’s how new gen is 🥲

[grim ore]

Yeah I learned off of baby hungerford and i loved it

[frosty wing]

I'll try their pdf first ig

Thanks

[grim ore]

artin wasn’t really my fav when i tried to volunteer for a reading group

[potent pumice]

IDK where this conversation is going

[grim ore]

AA is abstract algebra

[potent pumice]

Oh

NVM

[potent pumice]

I never used tumblr

So i don't know the vibes and all about it

[drowsy thicket]

There is also Bosch which seems to be a classic in Germany

[grim ore]

yeah i know a lot of the new gen memes on tumblr (tbf it is kinda funny) but idk if you know pinterest; its kinda like that but for writers

[drowsy thicket]

It also has an English version

[potent pumice]

Ofc I know pinterest

Don't tell me there are people who don't know about pinterest

[fluid violet]

Good electronics 🙂‍↕️

[drowsy thicket]

[grim ore]

bro imo pinterest is pretty millennial coded for ppl in my age group but i know it started coming back and blowing up in popularity again

[sturdy shore]

aluffi chapter 0 was intended as a graduate level book, I don't think it is an appropriate beginning to AA (obviously not impossible to use as such)

There's his other book Notes from the Underground that would better function as a first book on AA

[grim ore]

i use it now but it was rare to see ppl use it

[potent pumice]

I see

[sturdy shore]

the latter doesn't have categories

[potent pumice]

Ic

[drowsy thicket]

Actually, I'm not sure if Bosch has an English version..

It's some other book from him that does I think

Not Algebra

[potent pumice]

I stopped using though, got addicted at one point

So i stopped completely

But I heard there's a new Pinterest in town?

Some AI type

I forgot the name

Honestly at this point everything is AI

Like i am suprised there is no AI in cushions

People use it so much

[potent pumice]

The term*

Wdy think?

[fluid violet]

Really? I didn't think it was graduate level...

But thanks for letting me know

[grim ore]

tbf the distinction between ug and grad studies of algebra are not as distinct as the other fields mainly due to the content material being the exact same; unis usually just fill in the gaps between each topic

[drowsy thicket]

Does your uni have institutional access to Aluffi?

[grim ore]

unlike RA or Topology where it builds on top of it

UG and Grad algebra cover the same topics except maybe you might differ in the last month with something unique

[topaz silo]

Bartimaeus

It's a book series

And also LOTR if you have the time

worth the 1000 pages

[grim ore]

at my uni they introduce module theory but everything else is about the same in material ; but ofc it’s like “you already know about groups, just some precursors to groups such as semi groups etc etc” expanding each section of knowledge

[fluid violet]

Never checked

Probably not

[drowsy thicket]

Did you buy it?

[sturdy shore]

yeah that's true, which means content wise a beginner could try to tackle it, it will just be a bit depressing imo since there won't be sufficient hand holding for such a student

[grim ore]

Def recommend checking out the local library catalogue as most unis have online access to textbooks normally

[sturdy shore]

aluffi clearly expects the reader to have seen algebra before

[fluid violet]

I disagree with this
If I was capable of doing something in my ug, it's ug, otherwise it's grad. I am what decides

[sturdy shore]

and math maturity in general

[fluid violet]

Why would I

[grim ore]

yeah def this lol ; it kinda jumps into it and doesn’t usually have much exposition normally

[fluid violet]

Im finished with my ug

And I get all my books for free

[fluid violet]

No

[grim ore]

i’d say a rare exception is that i’ve seen D&F used in grad studies which kinda does handhold

[drowsy thicket]

Aluffi isn't published by Springer or de Gruyter or anything else normally working with unis, just AMS and they don't seem to offer any institutional stuff

[fluid violet]

The last two chapters of D&F are surely graduate level

[sturdy shore]

yeah D&F is also in a bit of a weird spot

[drowsy thicket]

You also didn't lend it out as physical book? Well then there is only one option remaining

[fluid violet]

I have no idea what you're talking about.

Crazy person.

[drowsy thicket]

By the way, something else I found which seems to be pretty good is Lothar Göttsche's notes: https://users.ictp.it/~gottsche/algebra17.pdf

It covers groups, rings and fields (with galois theory) in 94 (!!) pages including (!!) exercises

It doesn't have a TOC but I created one myself:

[fluid violet]

If it does that all in 92 pages it's probably not very thorough

Also Galois theory is overrated fr

[drowsy thicket]

I mean, the usual length of a set of lecture notes for a one-semester course is usually around 100 pages, not more

[fluid violet]

Hmm that is true

I would look at the length of my lecture notes but I put each lecture in a different file 😭

[drowsy thicket]

You live-TeXed?

[fluid violet]

Ofc

[drowsy thicket]

'ofc' haha

[fluid violet]

I mean "ofc I did, I'm super based, how could I not?"

[drowsy thicket]

Did you also live-TeX something like topology?

Where the prof scribbles some simple picture on the board quickly and you have to painfully tikZ that?

[fluid violet]

Indeed I did

[fluid violet]

Oh I didn't do that ofc

I don't believe in pictures

(I'm lazy)

[drowsy thicket]

Oh, of course

[fluid violet]

Like specifically for topology I didn't see a need for pictures

Algtop definitely does need

But I used my own plain tex package there so I couldn't even TikZ if I wanted to

[grim ore]

i’ve learned from a live tikz legend

i’ve stopped my live texing days tho

but there was a grad student who’d live tex everything including the tikz illustration during lecture

they used some pen tablet tool that auto did it for them

[fluid violet]

That's cheating

[drowsy thicket]

That sounds really nice, do you know anything about this tool?

[drowsy thicket]

It might be related to something I've seen recently, this: https://tex.stackexchange.com/a/529104

But it doesn't seem to work for me

[pallid pine]

hi
I'm looking for suggestion to which to solve, which one is better and harder and have good solved examples excluding theory

Pure Cengage-Maths(include theory that i wont see)
Cengage Hybrid DPP-Maths(include Question only and some examples)
For JEE Mains+Advanced

[oblique hatch]

What would be a good source to learn about von Neumann algebras?

[foggy wolf]

needham visual complex analysis or ahlfors? Ahlfors is very scarcely available in my country so asking for that reason

[sturdy shore]

what's your math background?

[oblique hatch]

In terms of stuff that may be somewhat relevant
A first course in Representation theory of Lie algebras, a first course in functional analysis and some stuff on distributions/PDEs, and probably more group theory than would be reasonably required
There’s other stuff I know that I don’t know whether or not it would be relevant, but like
Thats probablt a fair starting point

[sturdy shore]

only book I can vouch for is Murphy's book on operator theory since that's the only one I've actually read

but there are plenty other books on operator algebras, all of them should discuss von neumann algebras

like takesaki, kadison-ringrose, blackadar

[grim ore]

look at zach d garzas website (this is oddly the second time i mentioned them in a week weird enough)

pretty good math catalogue

he just finished his phd

[full cairn]

In my opinion Needham is best as a supplement to other books. The idea of using visual arguments for everything is appealing, but it quickly gets really hard to follow, and the algebraic approach is often much easier

[remote sparrow]

i assume u already looked at software foundations and found it wanting? @solemn rover

[solemn rover]

@fluid violet I would consider myself a Rocq expert and I am happy to talk to you about it. Please reach out if you have questions. Join the Rocq zulip, rocq-prover.zulipchat.com.
I do not think it is easy to learn Rocq without a lot of guidance, it's a complicated system.
That said, there are numerous books on Rocq. Software foundations is probably the place to start but Rocq is very mature and there are many books.
Coq d'Art.
"Certified Programming with Dependent Types" by Chlipala.
Hydras & Co, which I believe is a living document that is updated ~continuously with Rocq. https://rocq-community.org/hydra-battles/doc/hydras.pdf

One topic which I find very interesting - but also very challenging to learn - is that Rocq's notion of an "algebraic data type" is much more powerful than what is available in Haskell, OCaml, etc, as one inductively defines whole families of types.

Consider the ordinary natural numbers:

Inductive nat :=
| 0 : nat
| S : nat->nat

this kind of type definition is familiar from OCaml or Haskell.
But in Rocq one can do:

Inductive isEven : nat -> Type :=
| zero_even : isEven 0 
| ss_even : forall n, isEven n -> isEven (2+n)

this is not just one data type defined by induction, but a family of data types, where the constructors can go from one type to another;
to define a function by recursion on isEven, one must define a function out of all the types of isEven.
It's challenging.

If you are only interested in proving theorems this is not a big deal.
But if you are used to writing pattern matches and want to write proper Rocq code using pattern matching, it is something you have to eventually learn.

[fluid violet]

This is really cool! I really appreciate you being willing to help me here. I will definitely ask you questions as they come up

I am currently trying to understand CoC formally, and I'd like to be able to do the same with CiC, from what I understand the best way to do that is learn rocq?

[crimson halo]

Hey guys, I'm mainly interested in algebraic topology and started reading Adam's blue book. I am also trying to learn some algebraic geometry and algebraic number theory, and while I'm still very new to these subjects, I would like to eventually try to explore some connections between homotopy theory and algebraic geometry/number theory. I'm trying to get an idea of a sort of roadmap that I could do - starting with Markus' book on alg num theory and Gathmann + Hartshorne for alggeo, is there any natural stepping stone from there for me?

I'm asking simply because having something cool to look forward to exploring is a pretty big motivator for me

[native cradle]

is this jusdon?

[molten gulch]

No, he stated above that these are Gottsche's notes

[native cradle]

got it

[junior geyser]

Guys do you have a recommendation book on polynomial

[timid lion]

i liked fraleigh

[karmic thorn]

What is a good place to begin learning algebraic geometry? I have two constraints here: one, I would prefer minimal commutative algebra prerequisites (so I am familiar with the definition of tensor product and localisation, but not much more); two, I want the "geometry" to be visible - concrete examples and motivation for the theory would be a terrific incentive. I am reasonably comfortable with category theory (I don't know what Abelian categories are, but I think I understand limits, colimits, etc.)

Oh, also, something with an eye toward representation theory of algebraic groups could also work

@dapper root suggest something senpai 👉 👈

[remote sparrow]

https://link.springer.com/book/10.1007/978-3-642-37956-7

https://dept.math.lsa.umich.edu/~wfulton/CurveBook.pdf

https://link.springer.com/book/10.1007/978-3-319-16721-3

https://link.springer.com/book/10.1007/b138611

[karmic thorn]

Computational aspects of AG might be interesting and more beginner friendly, but I am looking for something with a geometric bent (say, something that can reasonably contextualise complex geometry)

[remote sparrow]

shafarevich and fulton are very focused on the geometric side

they're books on classical AG

with varieties and such rather than the whole scheme formalism

[karmic thorn]

Will take a look

[exotic pawn]

Do u only reccomend math books here

[sacred thicket]

needham is very non rigorous and has a lot of non-complex Analysis content (very fun though).
ahlfors is much more rigorous and may be hard to read (sometimes motivation behind theorems is not explained), not the best introduction unless you are very good at Analysis.
imo a great middle ground is Stein Shakarchi - still rigorous, but much more readable

[mellow wren]

Try it anyways

Don't doubt yourself

[sacred thicket]

stein is grad level??
for me stein Shankarchi were not very hard (and im far from grad yet). especially reading needham along with it.

oh, yeah, their real analysis and measure theory (3-4th books) are probably more difficult.
i only read their Complex Analysis and Fourier analysis (1-2th books)

[exotic pawn]

Your pfp kinda looks like a king crimson cover

[sacred thicket]

ahaha yeah i was inspired by it a little when i was drawing pfp

[exotic pawn]

Btw i got a book reccomendation its not math tho

Lemme find a link to it or somethjng

Nvm

Oliver sacks gratitude

[mossy fjord]

can anyone give me a roadmap for exams like imo or jee if someone know as it would be beneficial

[foggy wolf]

is gamelin good? Because unlike stein, gamelin is easily available here

[sacred thicket]

dont know much about it myself, but:

[foggy wolf]

is this a scam? I see ahlfors ca indian subcontinent version for only 4 dollars

[topaz silo]

Got the same offer on amazon, so should be good

[mossy flume]

I will also second the recommendation of Fulton's Algebraic Curves

I will also add that keeping Harris's Algebraic Geometry on hand is nice just for when you want lots of examples (especially lots of geometry associated to them)

however I think Harris's text is really bad on it's own 😵‍💫

but that may be my hot take idk

the Gathmann notes are also nice

Introductory curves: https://agag-gathmann.math.rptu.de/de/curves.php
Algebraic Geometry: https://agag-gathmann.math.rptu.de/de/alggeom.php

[hollow peak]

Nice, I didnt know gathmann had notes on curves

[mossy flume]

I think it's more like "UG AG" rather than a graduate course on curves like you may take after a grad AG course

[stray veldt]

Algebraic Curves and Riemann Surfaces

[flat forge]

starting book for algebra?

[molten gulch]

Artin's Algebra

There's also Gallian, Fraleigh, Pinter, etc...

[tender river]

what level of algebra...

[flat forge]

After basics

[rigid trail]

[tender river]

what grade are you in...

[flat forge]

i know eerthing upto vieta and descartes ig

[flat forge]

thx

[cunning elk]

[remote sparrow]

yes

real analysis doesn't always mean introductory real analysis

[trim kayak]

Hey sour!!

[normal crystal]

Chipper almost ready to read graduate math textbooks on his Tmobile Sidekick

[pulsar veldt]

book recommendations for 3d geometry?

[humble spire]

What background do u have lol

[pulsar veldt]

Pre calculus
Euclidean Geometry
Math Logic

[median fossil]

Miranda?

[heady ember]

Please read what the author requested.

After basics
Obviously, he needs Hartshone.

[rigid trail]

Ah I apologize for my poor reading comprehension

Yes your book recommendation is embarrassingly self evident

[humble spire]

dont have recs sorry.

[pulsar veldt]

np

[humble spire]

try asking in #geometry-and-trigonometry

?

[daring wolf]

reading hartshorne be like:

[molten gulch]

Hartshorne is like...Grad school, maybe late undergrad for some; you don't need a PhD for it?

[daring wolf]

i mean you need books like vakil or eisenbud&harris to actually learn it tbh

and solve exercises in hartshorne

[tribal crow]

I once heard a quote that went something like:

"there are two kinds of mathematics textbooks. ones where you cannot read past the first page, and ones where you cannot read past the first sentence."

this just reminded me of that

[agile flume]

Finally an actual springer meme!!!!

[agile flume]

Also, very true.

[frosty wing]

Guys halp,

Freednea , Pisari and Purvesh - Stats
Gun, Gupta and Dasgupta - Fundamentals of stats
Sheldon Ross - Introductory Stats
M H DeGroot - Probability and Stats
Hoga and Tanis - Probability and statistical inference

Which will be best for stats? Professor recc these to follow "Statistical Methods-1"

(Spelling of names of authors may be wrong)

(Tag me if you reply)

[peak bluff]

@smoky valve

[smoky valve]

hi

[peak bluff]

i mean its okay

its a cool foundations book

but i didnt study it much so i might not be qualified to give advice

[smoky valve]

i see

[peak bluff]

apologies

[smoky valve]

no worries lol

[peak bluff]

i have to focus on competition math

[broken totem]

so @gilded shuttle would you recommend someone mastering thomas or stewart to directly start on amann? like would there be any gaps?

[smoky valve]

which one are you doing if u dont mind me asking

[peak bluff]

not doing anything atm

[smoky valve]

ah okay

[gilded shuttle]

are you familiar with proofs?

[peak bluff]

good luck learning RA!

[smoky valve]

lmao thanks

[broken totem]

i would say, if it's the number theory kind, yes, but i won't say i'm superb at it

[smoky valve]

there's still a while before i go into it i'm trying to finish up multivar calc before i do that

[broken totem]

but familiar enough to prove quite a few things

[peak bluff]

competition number theory:

[smoky valve]

i dislike competition math

[broken totem]

i don't have enough aura for those :<

[gilded shuttle]

yea that’s fine amann seems to put a lot of effort into building foundations before getting into what most analysis courses actually cover

so i think it would be beneficial

[broken totem]

noted, thank you!

[gilded shuttle]

you’re welcome

[hollow shore]

hello

how is Niven, Zuckerman for intro Number Theory?

[lofty iron]

is Cengeze book best for math jee??

[topaz silo]

It covers the basics well, depends what you're going for clearing though

[lofty iron]

Jee mains

[topaz silo]

Okay, cengage is good then

[slender wasp]

Fantastic. Although, if in high school or before, one may prefer other options with a bit more explanation and examples.

[foggy wolf]

lmao

[steady eagle]

FPP, Hogg fine. didn't really look into GGD/DeGroot. Wouldn't recommend Ross in any math-heavy course. Ross is appropriate in application-heavy context

[frosty wing]

Well the course is more about applications

[steady eagle]

Any of the books are fine

I think GGD is split into 2 volumes for whatever reason though

[frosty wing]

Ok thanks

I'll just see which is in budget

[rocky geode]

Hello
I am an undergraduate in Computer Science and looking forward to exploring Number Theory
Any good book recommendations??

I have taken introductory UG level courses in Discrete Math, Graph theory, Combinatorics and have a decent grip on pre college mathematics.

[rocky geode]

Right now I am thinking of Kenneth Rosen Elementary Number Theory

[molten gulch]

this is a good choice

and actually the same text I was going to recommend

[rocky geode]

Thanks

[white aurora]

So true

[foggy quest]

Apostol's book looks good

assuming you know real analysis

[molten gulch]

AFAIK you also need some complex analysis for apostol

[foggy quest]

yes

[full cairn]

Recommending Apostol seems like an odd choice, I think they want something on elementary number theory

Both Rosen and Burton is good for elementary number theory

[foggy quest]

Apostol does cover elementary number theory. It's an introduction, after all.

[full cairn]

Aha, looked a bit closer at the ToC, seems like it contains basically the same elementary number theory as Rosen. But it's scattered among a lot of analytic stuff, so you might need to skip a lot if you're only interested in elementary number theory

[karmic thorn]

[karmic thorn]

Thanks, is this the book by Miranda?

[mossy flume]

I think so

Yes

[gray gazelle]

This is a list of my desired master degree's courses, followed by a list of the pre-requisite mathematical knowledge I'll need in order to study the degree. I want help on which books to use to study the concepts needed

Multivariate Stats
Fundamental concepts of Stats
Statisticsl Software
Linear Models
Generalized Linear Models
Statistical Consulting
Concepts of Bayesian Data Analysis
Modern Data Analytics
Data Management
Advanced Econometrics
Survey Methodology
Structucal Equations
Fundamentals of Financial Mathematics
Statistical Tools for Quantitative Risk Management
Official Statistics
Sampling Theory
Advanced Applied Econometrics
Data Visualization in Data Science
Total Quality Management
Data Mining and Neural Networks
Support Vector Machines: Methods and Applications

[tender river]

https://old.maa.org/press/maa-reviews/a-guide-to-elementary-number-theory

[grim ore]

Did you read what I said?

[gray gazelle]

I did

I get what you mean, so thank you

[grim ore]

If you are looking to study those math topics, any calculus book would do to begin with. Id recommend openstax since it is free and online. Diff Eq, I think Blanchard has a diffeq text

Matrix algebra, plenty of routes with that, no wrong one esp since you dont need to do theory from what it looks like

and for the last, Id recommend Book of Proofs by Richard Hammack, also online and free for learning logic and proofs, and the sequences and series, I recomend Ross

[gray gazelle]

I see, I'll look into those

Thank you!

[grim ore]

Yeah, the wall of text made it a lot more confusing than needed imo

I believe Kenneth Rosin has a discrete math text which may help you learn proofs from a cs based perspective @gray gazelle

So maybe I recommend that more, but its not free and online

Its pretty good and well known tho (i used it in my discrete class), but hammack is good too

[gray gazelle]

I posted the courses in case they were relevant to the answer

I get it, though

[grim ore]

Alr no worries

[gray gazelle]

I'm not going into cs, so idk if that would be a good option for me

The rest sounds good to me :)

[grim ore]

It seems like you are going into Data Science or Data Analytics

Which for both it would still help if you wanted to do a discrete maths textbook

But its almost the same by the end of day

[gray gazelle]

I see! I'll look into that too then :D

Thank you man

[grim ore]

nws

[true sail]

What subjects did your Discrete Math course covered?

[stray veldt]

yes

[carmine monolith]

new to analysis, is there like a great book for real analysis

alright thanks

[south lantern]

Elementary analysis is good

[south lantern]

Rudin also really good but detail is very heavy

https://www.google.com/books/edition/Elementary_Analysis/meqPBAAAQBAJ?hl=en&gbpv=1&printsec=frontcover

personally i like elementary analysis more than abbot

[dim widget]

I think rudin is very sparse in detail in the sense that one has to work very hard to lure out the inutition

Which is why I'd argue it is an excellent book

If you have some other resources that will help you prime on how to think about the book.

[vital bane]

Also known as "trash exposition"

[dim widget]

What makes you say this?

[heady ember]

Translation: skill issue

[remote vortex]

Yes, on the part of the writer

[steady eagle]

I'd assume you want prior experience in stats itself too, but you should already have that. Maybe try a different book this time.
A book with a 99% rate you've not read before, but should be 'introduction to stats' is https://link.springer.com/book/10.1007/978-3-319-28341-8

[south lantern]

woahhhhh that looks cool

[gray gazelle]

I actually have a background in stats

What I'm struggling to figure out is a resource for the pre-requisite maths

[steady eagle]

Yeah but I'm sure you've not read the Panaretos book

[gray gazelle]

But I truly appreciate you sharing this book :)

I haven't!

I will go through it

[south lantern]

bllocked by paywall!!!!!!

[steady eagle]

I mean I think the calc prereqs you've seen are all okay

Just use one and stick with it

[gray gazelle]

I've been recommended stewart calculus

for the most part

[steady eagle]

I don't think there's an issue with e.g. using Stewart vs Apostol or whatever

[south lantern]

too expensive i think

[south lantern]

pearson right?

**** pearson

[steady eagle]

If cost is an issue, there are online calc books (more than 1) provided for free

[gray gazelle]

Okay, do you mind telling me which stewart book I could use? There are.. a lot of editions

[south lantern]

tbh

[gray gazelle]

Not an issueee

[south lantern]

pearson is the worst company

[gray gazelle]

Not sure myself lmao

[south lantern]

on earth

[steady eagle]

I'd say the free ones are slightly not as good, but more than sufficient

[gray gazelle]

There are a lot of editions haha

I just don't know which one to use

[steady eagle]

I think the standard is Calculus

[south lantern]

the more editions, the more money

[gray gazelle]

This?

[south lantern]

forces people to keep buying new books

[steady eagle]

Yar

[south lantern]

instead of being able to pass them down

[gray gazelle]

Better than spending money on twitch subscriptions

[steady eagle]

I don't know if anyone's made a detailed comparison on the free calc books, but it seems they are just not as popular as Stewart, Apostol etc.

[gray gazelle]

¯_(ツ)_/¯

[south lantern]

imo nah

even worse

[gray gazelle]

I getcha

[south lantern]

on one hand your supporting massive greedy corporation

vs individual on tiwch

not that i think both are good

also pearson signs contracts with universitieis

[shy silo]

I would like to study C*-algebras from someone who really enjoy Harmonic Analysis, I know some classic results (Pontryagin duality, Peter-Weyl) but would like to expand, any recommendations?

[south lantern]

its so unethical dammit!!!

[gray gazelle]

not to get too deep but there's no ethical consumption under capitalism

[south lantern]

agreed lmfao

[shy silo]

never matters

[gray gazelle]

at least i benefit buying the book (in my case)

[shy silo]

it's just a book edition

[gray gazelle]

i see i see

[shy silo]

@gray gazelle you're postgrad and don't know calc?

[gray gazelle]

I do know calc

lol

I've finished calc 1, 2, and 3

[south lantern]

lol that would be crazy

[gray gazelle]

but the core issue is that

[south lantern]

what about calc 7?

[shy silo]

Then why do you want a calc book

Just get a real analysis book

[gray gazelle]

I've done applied business math mostly applying these topics

[steady eagle]

if cost is an issue re: calculus https://textbooks.aimath.org/textbooks/approved-textbooks/

[gray gazelle]

I wanted to see how questions would look if not applied specifically to economics

and if I would be able to solve them just as well

[shy silo]

And don't forget about internet archive's library

[south lantern]

imo it would be more ethical to pirate stewarts calculus

[gray gazelle]

I already got the book dw :P

[south lantern]

instead of supporting the monster that is pearson

[south lantern]

pearson killed my whole family

no one left

[shy silo]

My request will be burried :f

[steady eagle]

Sorry for drowning this but maybe ask later when this channel is less crowded. Unfortunately I didn't do enough math to read any of these operator stuff

[south lantern]

well i wish you luck with the economics stuff regardless lol

[marsh ingot]

Books about complex Lie groups and applications to complex analysis or even functional?

[wet sentinel]

you can always generalize this statement

[analog wadi]

anyone got a book that teach u the basic about the topics inequality and interval? (i dont need the advanced stuff i just want a book that will make my basic soild since i feel like i dont really understand this topic that well)

[polar nova]

Hello! Does anybody have a recommendation for a book that teaches you the basics of differential equations? I don't want something very deep.

[remote knoll]

Gustafson is alright

[molten gulch]

boyce diprima

[restive rover]

Hi

Whats this

Btw

Best book si

Is

Imune

[molten gulch]

for what

[restive rover]

From Kurzegast

I like tintkn

[polar nova]

Thank you! I rrally like that this book also dives deeply into linear algebra which is a thing I should review

[polar nova]

This one seems to have a lot of examples and cool problems. I will look into it as well

Thank you guys so much!

[foggy quest]

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

[oblique aspen]

The new Minecraft book that teacher u how to build

[native cradle]

so I need to chose b/w a few algebra books

[molten gulch]

What are your choices

[native cradle]

1. Contemporary Abstract Algebra by Joseph A. Gallian, 4th edition. Narosa, 1999.

2. Algebra by Michael Artin, 2nd Edition. Prentice Hall India, 2011.

3. Topics in Algebra by I.N. Herstein, 2nd Edition. Wiley India, 2006.

4. A First Course in Abstract Algebra by John B. Fraleigh, 7th Edition. Pearson, 2003.

5. Undergraduate Algebra by Serge Lang, 2nd Edition. Springer India, 2009.

6. Abstract Algebra by David S. Dummit and Richard M. Foote, 3rd Edition. John Wiley and Sons, 2011.

7. Algebra by G. Santhanam, Narosa Publishing House.

This is what our handout had

[molten gulch]

also crack each open and read an equivalent chapter, see which you like the most

[native cradle]

the thing is , I don't like artin very much

[molten gulch]

DF is a book you should have on your bedside from what I've heard

[native cradle]

I was looking for something similar in spirit to LADR

[molten gulch]

I personally don't like gallian or herstein too much, I'm a big fan of Artin personally

[molten gulch]

What specific aspects of LADR?

[tender river]

Check out Rotman and see if you vibe with it.

[molten gulch]

We love Rotman's Algebra books

[molten gulch]

He does skip a early few results and defers some proofs to his UG book I think; assuming you mean Advanced Modern Algebra I and II

[native cradle]

It's like being hand held and challeneged at the same time

Atleast to me

[molten gulch]

But I could be wrong

[tender river]

Herstein is the classic and thats the one i followed in large parts while in a dummitfoote reading grp, I didnt like dummitfoote nearly as much

[molten gulch]

One of my friends @still elk likes Herstein at last check

[tender river]

Thats right but those are less significant number theoretic results

[molten gulch]

Ahh oke

[tender river]

im pretty sure the algebra proper part is self contained

or at least not something that you cant figure out as an exercise yourself

[molten gulch]

Right

That makes sense

[native cradle]

I was just wondering, should I just force myself to do artin , or is that a bad idea

[molten gulch]

Don't force yourself to do any specific book, find one you vibe with

[sturdy shore]

why dont you like artin tho, I'm curious

[daring wolf]

Algebra: Chapter 0 by Paolo Aluffi

[native cradle]

I do have one of aluffi's books

[molten gulch]

Wait was aluffi your first algebra book? /genq

[daring wolf]

yes

because why not

[native cradle]

Notes from the underground

[sturdy shore]

notes from the underground seemed really good when I skimmed it

[native cradle]

Maybe I'm doing something wrong , but each exercise is either obvious or impossible to me

[sturdy shore]

I love its approach to starting with rings

[tender river]

it is the exercises that matter a lot, often it is a random professors lecture notes out there somewhere in internetland with some of the best exposition so be prepared to learn whole sections out of smaller notes than from a book

[sturdy shore]

hmm, idk about its exercises, but I went thru a youtube lecture series based on the book and it was rly enjoyable

did you ask on #groups-rings-fields concerning these impossible exercises?

or maybe the other exercises weren't as trivial as you thought

but maybe it is true that its exercises aren't very good

[native cradle]

Maybe I was exaggerating, but I feel like there's no middle ground

[molten gulch]

@sturdy shore what book(s) do you like for algebra?

[native cradle]

slight issue, that book is 100 USD

[daring wolf]

lmao

[native cradle]

my flight ticket to uni is less

and that's a 3hr flight( with food )

[sturdy shore]

hmm, the only book that I covered significant parts of is rotman's advanced modern algebra 1

my take is that it's really good but not great (has a good amount of errors and some parts I felt like could be better talked about)

I also tried going thru chapter 0 when I was in UG, I thought it was fruitful but the book was probably a bit over my head looking back at my experience

[native cradle]

wait, chapter 0 is a grad math TB?

[molten gulch]

terms like undergrad and grad are kinda wishy washy and subjective when it comes to textbooks

[sturdy shore]

yea, advanced UG/early grad

but theres no law saying a beginner can't try it

I'd taken an intro algebra course before trying to read it, don't think it prepared me enough

[daring wolf]

imagine serge lang algebra (grad one) but it was first course to abstract algebra

[sturdy shore]

what I was lacking wasn't algebra knowledge moreso general lack of math maturity

[native cradle]

this is my first course 😭

[molten gulch]

I actually know one or two people who had to do this (uni class text) they said it was terrible for 2nd years to learn out of

[native cradle]

the syllabus of my course

[molten gulch]

Herstein seems fine for this? AFAIK its group theory section is quite good

[sturdy shore]

wait, it's all groups?

[molten gulch]

yes

[native cradle]

we do ring thoery next sem I think

rings or fields, have to check

yup, rings

[native cradle]

is this not normal?

[daring wolf]

and modules? cool

[native cradle]

I don't know about modules

[sturdy shore]

wasn't the case in my classes, I don't think it's normal to do only groups in an intro course

not saying I dislike the idea, tho maybe I do lol

as I said I'm a bit of a fan of aluffi's approach in notes from the underground where he begins with rings

[native cradle]

Might cover modules, the syllabus for alg 2 hasn't been updated will probably be fields, rings and abit of modules

[molten gulch]

here for UG abs alg 1 we do the first half of gallian or equivalent apparently

[native cradle]

y'all do a lot more than us :jealous:

[molten gulch]

oh we also do sylow and symmetry stuff ofc

[molten gulch]

Not really, it boils down to about the same, except we do some ring theory too

[native cradle]

Our sem is 4 months long, might have something to do with that

[molten gulch]

I mean, ours is also just about as long, mid January - May; August - December

[main hill]

Good Evening/Day folks! Quick book question - decided to go with Leithold. Got two books - Calculus the first course and calculus 2nd edition (the big one). Is it a good approach to start in that order? Or if You have some other recommendations then I would be happy to take them into account! Thanks a lot in advance!!

[humble spire]

Serge lang short calculus was ok

Not sure abt the ones you mentioned srry

Maybe someone elee can jump in for an answer?

[slate quarry]

Hi, I'm looking for a textbook on the foundations of mathematics, specifically one that covers Dedekind's cuts, any suggestion?

[dim pendant]

what do you mean by foundations mate

[molten gulch]

many real analysis texts cover the construction of reals

[remote sparrow]

not true

[molten gulch]

Fixed

[tender river]

Youll find that in axiomatic set theory books like

1. goldrei-classic set theory (interesting organisation, it starts with constructing the reals, then rationals, then integers and naturals)-i read the naturals chapter and found the exposition quite good
2. Endertons set theory book-more proper organisation

[slate quarry]

thank you very much

[earnest blade]

Does anyone have good book recommendations for control systems, CAD and robotics.

[old elk]

I'm having trouble with Springer books.

[old elk]

I have inadvertently placed them in disarray.

[elfin eagle]

Anyone know of a good reference for learning about topoi (preferably in the context of logic)

[remote sparrow]

https://link.springer.com/book/10.1007/978-1-4612-0927-0

[elfin eagle]

Thanks

[lone bloom]

hello everyone

what would you recommend as a first lecture on analysis?

[worthy kindle]

carothers

[cunning elk]

undergrad business/datasci/etc students when analysis: 🤠
undergrad math students when analysis:

[viral knoll]

Analysis gives me nightmares

💔💔💔💔💔💔

[cunning elk]

"analyst" as a corporate job title typically entails very different (probably easier) techniques than "mathematical analysis"

[solar fable]

'Everything you need to ace maths '

[foggy wolf]

it wasnt. it was a scam and I got the most damaged version of the book

[topaz silo]

You ordered from where?

[native cradle]

aluffi is killing me ( I don't know rings or modules)

and the cat theory...

[tiny gulch]

cat theory :D

[native cradle]

yea, but I haven't done any

😔

[tiny gulch]

everyone starts that way

[native cradle]

and I'd rather do some group theory first so that my sem is chill

[daring wolf]

@tiny gulch yooo you joined very cool ppl club

[foggy wolf]

amazon, the same page you had open

[topaz silo]

Should be returnable or replaceable then

If it isn't you can just call up customer support and they do it anyway

Also turns out you bought the last copy that seller had and now the real cost is revealed

[native cradle]

Still less than what I paid for spivak

[vital bane]

INR detected

[lilac lake]

goated book

you guys got some book suggestions for multi variable calculus?

[foggy wolf]

OH COME ON

[foggy wolf]

thomas' calculus

this covers whole of calc and precalc but its pretty good bc it does have nice multivariable chapters

[foggy wolf]

you reckon i should try again?

[lilac lake]

alr I have done Spivak´s Calculus already, I would give it a try

thank you

[foggy wolf]

np

i have the book right now if you want to take a look at chapters and exercises without using shady pdfs

thats horrible

[viral knoll]

not really

wanna see?

[foggy wolf]

for me yes

i hate using pdf prints

o

[lilac lake]

I have the pdf rn

[foggy wolf]

problem for me is i can afford but THEY ARE NEVER AVAILABLE

[lilac lake]

Spivak Stewart Thomas etc

[foggy wolf]

gamelin isnt

stein just sold out

and how do i even begin with ahlfors

[viral knoll]

I follow a basic order

[foggy wolf]

this universe does not want me to learn ca

[viral knoll]

I started with churchill and brown in ca

start with that

I say you wont regret

Its nonrig

but enough to have you a feel in ca

[foggy wolf]

does it have elliptics

[viral knoll]

Not that deep, if you dive into stein next, it'll have a brief course in that

Doing step by step will get you a proper grip in ca

[foggy wolf]

hmm

[viral knoll]

Id recommend first understand cauchy goursat, poles residues and contours properly

[foggy wolf]

I do have basic knowledge of cauchy theorem and residues but i really need a book that covers residue in detail

[viral knoll]

and also the properties of analytic functions in a domain

[viral knoll]

Then churchill and brown might be your cup of tea

[foggy wolf]

I'll see

[viral knoll]

it has inverse laplace transforms and evaluation of PVs of improper integral

[topaz silo]

I mean, it's always replaceable/returnable even if it's not mentioned there- all that's wasted is a bit of time, so prolly worth a try

Piracy is not allowed here

I suggest you delete that message unless you want the mods on your back lol

[viral knoll]

SHIT WHAT

I didnt know that

is that on the rules

[topaz silo]

Also implies you cant talk about it

[viral knoll]

fuck

I didnt read the rules carefully

[topaz silo]

It's okay they usually just give a verbal warning, you should be good

[viral knoll]

ty for telling me tho

much appreciated

[topaz silo]

Nw

[topaz silo]

That sticker name

[viral knoll]

LMAO

its my hbs work

[vestal junco]

Opinions on Tao’s book for real analysis?