book-recommendations

[static crest]

just after

true

[desert copper]

lol

Am I the only one who finds full stops intimidating

Full stop.

Finality. Is. Here.

[static crest]

.

[desert copper]

Pathetic

[storm harness]

-9.223

[gray gazelle]

thats a joke right?

[manic fox]

what a chad, ultra

[hasty turret]

Which website is thism

[timber ravine]

Is this off-topic?

Anyway
typeracer.com also nice

[gray gazelle]

🤮

typeracer

i'm joking

[broken meadow]

rokabe...

[sage python]

It is but I guess it hasn't been off topic for too long/it did spawn from something on topic. Generically though yeah this is a books channel

[gray gazelle]

Tofuria

[fading helm]

dd

[mint sparrow]

Contemporary Abstract Algebra [Gallian] and Abstract Algebra - An Introduction [Hungerford] are both very approachable and standards 🙂

[icy frost]

we literally have the same high score lmao

[static crest]

gallian

dont

don't do it

[livid ermine]

what is a better intro?

aluffi or d&f?

[whole rain]

rotman

[livid ermine]

Is it? "Advanced Modern Algebra"?

It seems quite, hmm, advanced, for a first book.

[whole rain]

no

the introductory text

first course in abstract algebra

from rotman

[static crest]

d&f is better if you want like as easy to understand explanation as it gets. If you want to be category theory-pilled along the way, aluffi. They're both fairly approachable as intro texts

d&f does have the downside of being really boring

for many

if you have a short attention span, maybe don't go for d&f

[whole rain]

(it is boring )

[livid ermine]

i think aluffi is funny. rotman seems based and funny-pilled as well

[static crest]

I personally like d&f > aluffi, since I find aluffi shoehorns category theory needlessly

and d&f has the best exercises

I've seen from the (intro) algebra tbs I have seen

[prisma snow]

Avoid DF

Rotman is based

AMA is about the same level as DF tbh

But maybe it's group theory content isn't as beginner friendly, so you can start with the first course one

[desert copper]

kind of cliche but 20000 leagues under the sea

[fading helm]

ive read that lol

im looking for new

kinda unpopularish

[desert copper]

oof I can’t suggest anything then

I guess you’ve read around the world in eighty days too

[primal chasm]

Hello guys, which book on topology should I choose as a beginner?

[calm crane]

munkres

[gray gazelle]

munkres

[primal chasm]

Thanks! What so special about this book?

[gray gazelle]

it's good

a bit dry

but comprehensive, covers pretty much all of the important general topology you should know

[primal chasm]

Thank you! I like more dry and formal study material, so that's cool

[glossy grove]

Do you know where one could get a physical copy of Munkres that isn't 300$?

[crystal lion]

i know this idea is really fucked

but is there some service

where if you send them a pdf (of some random tb)

they'll make a hard copy of it

and send it to you

basically like a scuffed publisher

[willow pecan]

A printer

[crystal lion]

no but

stitch the book together and all the stuff

[willow pecan]

A print shop

[crystal lion]

yea but

are they comfortable with doing that

[glossy grove]

But I want to acquire that book legally. Maybe that's my problem though 0.0

[crystal lion]

legal issues and stuff

[willow pecan]

I see the hardcover of munkres for $90 on Amazon

[quick hornet]

as an undergrad, i printed full textbooks off my uni printing service and they didnt bat an eye

just collected their $15 printing fee and sent me on my way

your mileage may vary ofc

but i dont think theyre paid enough to care

[glossy grove]

https://www.amazon.com/Topology-2nd-Economy-James-Munkres-dp-8120320468/dp/8120320468/ref=mt_other?_encoding=UTF8&me=&qid=

It says 25$ 0.0

But it doesn't deliver to my location.

[willow pecan]

Yes I see the paperback for $25

[quick hornet]

if youre really concerned, tell them the text is freely available on the prof's website or whatever

[willow pecan]

Oh rip

[quick hornet]

i dont think theyll bother to check

[crystal lion]

dope

[glossy grove]

I am really confused. Don't they print Munkres anymore at all?

If so, why?

I killed the chat

[willow pecan]

[storm harness]

Bruh with how costly these books seem to be in the US it would be better to order some other country's version and get it smuggled through relatives or something

Indian versions are way cheaper (but also illegal to sell outside India, big scam)

[split bluff]

libgen/scihub it bruh

[glossy grove]

Have any of you read this? https://www.amazon.com/Introduction-Topology-Second-Dover-Mathematics-ebook/dp/B00CDGSFUQ/ref=sr_1_2?dchild=1&keywords=introduction+to+topology+second+edition&qid=1621118837&s=books&sr=1-2

It's cheap, but I am not sure if it lives up to Munkres.

One great thing about this book is, though, that all the exercises have solutions.

[willow pecan]

[ripe granite]

HOLY SHIT WUT

[gray gazelle]

[gray gazelle]

i hope everybody knew this, i always like getting springer books for $25

[slim peak]

Bruh what the actual fuck ?

How to benefit of it ?

[gray gazelle]

i think you need to be connecting from a school computer or using a proxy, then go to a springer link link like https://link.springer.com/book/10.1007/978-1-4757-3828-5 and then there should be an option for buying a "mycopy"

[slim peak]

I will buy a entire library

[gray gazelle]

but i have also noticed springer website is fucky as hell, and half the times i cannot buy the book

[slim peak]

Can some one send some picture and give me a feed back on the quality ?

"German, Dutch, and French language titles are currently excluded."

[gray gazelle]

quality is not bad at all for the ones i've gotten. paper quality is somewhere between international edition books (the type where if you use it for too long it naturally starts to tear) and normal springer books, although i would say closer to normal springer books. i've never had pages fall out or anything of that sort. the worst i've had is pages that were bent/not cut properly, and some minor shipping damage due to not being a hardcover

[slim peak]

Thanks a lot

so i will purchase msot of my books this way and very important ones in hardcover I think

[gray gazelle]

👍 the thing i said about paper quality is hard to say too anyway, since hardcover springers do not all have the same type of paper (some are close to the mycopy versions that i have, and similarly the mycopys that i have do not all have the same type of paper. actually maybe i'm imagining the differences in the mycopys that i have, not sure)

[slim peak]

I noticed that on books from the 90s and more recent books.

I 'm currently doing the dumbest thing of my entire life

My whole salary haha go brrrr

[storm sleet]

they say use safari, basically not chrome

[smoky surge]

thats a weird way to say you z-lib

interesting

[slim peak]

Some books just don't want to load the page for buying the softcover digitally printed book

[gray gazelle]

yeah, for whatever reason their website is a piece of shit

you will probably encounter other issues as well 🙂

[slim peak]

I already bought 3 books

[storm sleet]

I just had an issue where it said it took me "too long to finish order"

I got charged, so if it doesn't come I'm complainin

they get 3 weeks 😦

[slim peak]

No problem for :

• H.Bahouri, J.-Y.Chemin, R.Danchin. Fourier Analysis and Nonlinear Partial Differential Equations
• J.Bergh, J.Löfström. Interpolation Spaces
• T.Kato. Perturbation Theory for Linear Operators
  Impossible for me to load the order page for :
• J.Jost. Riemannian Geometry and Geometric Analysis
• M.Haase.The functional calculus for sectorial operators

[storm sleet]

No Problem for Neukirch ANT, which is like, 1/7 the price or something absurd

[gray gazelle]

hm, mycopy doesn't show up at all for me right now

ah nvm, i just needed to log in

fwiw, of the 4 pages, "login, address, order, payment", i can get to "payment" part, when i go to buy the jost book

[slim peak]

What the fuck

After something like 40 attempts it worked for Jost's book

[storm sleet]

Should I be concerned I got charged and it said it didn't succeed?

[gray gazelle]

i would probably call them if i don't get an email confirmation that you made an order within a few days

[storm sleet]

Oh I did get it, but it went to a weird email lmao

Honestly, Neukirch legit legal copy for $25

[proud locust]

Doodododododo

[storm sleet]

Fuckin steal

[proud locust]

Guys what's the best book for number theory

[storm sleet]

What kind?

[proud locust]

The proof one

[storm sleet]

Elementary, Algebraic, analytic, etc

[proud locust]

Uhh

Algebraic

[storm sleet]

Are you new to number theory in general?

[proud locust]

Yes

[storm sleet]

Do you have any background in abstract algebra?

[proud locust]

Nope

I only know a little linear algebra

[storm sleet]

The server #books-old channel recommends Burton, but I've heard people also recommend: Andrews, Hardy&Wright and a few others

[proud locust]

Oki thx

[storm sleet]

but I've heard Burton is hit or miss. I recommend Andrews bc its a Dover book so its cheap asf

[proud locust]

I see

Perfect

[smoky surge]

has anyone here read deep learning by ian goodfellow

[stray folio]

I plan to

[slim peak]

I have bought all the other available books, but Hasse's book still doesnot work when I click on the MyCopy button

[gray gazelle]

similar, i haven't read it, but i might at some point

[storm sleet]

Can't speak for everyone, but most of the time the big factor for me is price

I've bought several texts for basically nothing compared to their list price, just by getting used international copies

Print quality is a big issue most of the time, but its certainly easier to read than digital copies (for me)

[slim peak]

Can some one clic one the button "Buy MyCopy" without having an error : https://link.springer.com/book/10.1007/3-7643-7698-8 ?

Not a scam lol

[manic fox]

hmmmm

@ mods ban this toxic presence

i clicked the buy ebook one and got no error

[slim peak]

And an empty Bank account

[manic fox]

got tricked once again

smh

[slim peak]

Without joking

you must to be logged with you University

[gray gazelle]

i get an error as well

[manic fox]

o hm

[slim peak]

Okay thanks it's not my IP or my location

(I already tried a different browser)

[gray gazelle]

i usually just wait a few days/weeks/a month and try again when i get an error, so far it has worked

[slim peak]

won't sleep until I bought this fucking book

[manic fox]

why do u need it so bad

you can always resort to

the library that shall not be named

[slim peak]

I have the PDF copy

but it feels really uncomfortable to me to read on my screens

[manic fox]

yeah, fair

same

[slim peak]

I prefer Deforestation

[manic fox]

that's very based of you

[slim peak]

well thanks a lot

[narrow talon]

@smoky surge the DL book is something I may work through early in the summer. It’s really leisurely, kinda like Sutton and Barto. If you’re interested feel free to join me

[vagrant sedge]

Hi. What are some good problems books on optimization, numerical methods, computational mathematics? (no need for all of that in one book, of course =D).

Of course there are the several books on the subjects that have problem sections, like Kincaid and Cheney numerical analysis book

[willow pecan]

For numerical linear algebra, I would recommend Demmel's Linear Algebra

[vagrant sedge]

I'm fine with those too 🙂

[willow pecan]

For numerical odes/pdes, Iserles is popular

[vagrant sedge]

Thanks. I'll check it out.

[willow pecan]

I also really like LeVeque's Numerical Methods for Conservation Laws

Which is a bit more limited in scope

But self-contained

LeVeque has another book on finite difference methods

Saad has a book on iterative methods for sparse linear systems

[vagrant sedge]

Cool. Thanks. I only had heard about the last one.

LeVeque's one I mean hehe

Thank you 🙂

[willow pecan]

[vagrant sedge]

Any suggestions for optimization books with interesting problems?

[willow pecan]

No clue, my optimization class didn't use a book

[humble mortar]

can some one rate this book on whether its a good book or not

this one

i own a physical copy too

this is one of the books that i was searching for to give me a taste of "advanced" math

[sudden kindle]

Looks good

I didnt look to closely

[humble mortar]

does it cover everything needed for analysis?

[broken meadow]

this is an introduction to proofs book

i would only use it to try proving a handful of exercises using the methods they outline

and then after that you can go directly into an analysis text or a linear algebra text and try proving things

[gray gazelle]

jump right into hartshorne

[broken meadow]

Don't do that

https://tenor.com/view/cat-cute-kitten-kitty-pussy-cat-gif-17669581

[hasty turret]

Don't listen to the message above

[humble mortar]

i dont know what hatshorne is

[gray gazelle]

hartshorne fartshorne

[hasty turret]

It's a geometry book

[gray gazelle]

it has a touch of algebra too, exciting!

[hasty turret]

There's also a pure geometry book

[willow pecan]

[calm crane]

hartshrone is a great book!

i highly recommend it

a good supplement is EGA and SGA

great for geometry!

[humble mortar]

i just want to learn math that is necessary for finances and python

[calm crane]

python needs no math

[gray gazelle]

the data science article

[humble mortar]

for stock analysis

[calm crane]

all you need to know

[humble mortar]

you need it

[calm crane]

is how to lambda memes

[humble mortar]

besides im a math minor

i want to learn as much as possible during undergrad years

[gray gazelle]

hartshorne'll do that to ya

[humble mortar]

besides i know the data article is a meme

[gray gazelle]

i only heard about it through a super secret server message

[humble mortar]

honestly the first 5 chapters of this book are easy

[gray gazelle]

of hartshorne? damn, you should tell

[humble mortar]

no

intro to proofs

lol hartshorn

what are the applications bruh?

[gray gazelle]

Can anybody recommend a book which will give me a basic idea of Mathematics? And make me not fear it

[humble mortar]

its listed above

intro to proofs

honestly for that book you only need algebra 2 and a bit of calc

[smoky surge]

Hey I would def like to but I don’t think I’m at your level and would just slow you down tbh

[livid ermine]

@smoky surge I've worked through part 1 and 2.

[smoky surge]

Did you like it?

I know some of the reviews have been mixed but I think that’s cause people expected applied stuff and it’s not

[livid ermine]

It is quite dry and theoretical. I think you need to put a lot of effort into creating your own exercises to get the max out of it.

yeah.

I think it's good at explaining the core concepts in a pretty mathematically rigorous fashion

[smoky surge]

Yea that’s kinda what I’m looking for thanks

[narrow talon]

I understand, but either way if you feel like following along for a bit it’s no burden

[smoky surge]

id just feel bad itll be closer to you teaching me than mutual helping

[slim peak]

An interesting information is that it seems the books you can purchase for 25 USD/EUR are only the books your University/organization have already purchased.

(does not slve my problem about the specific book I want, but it explain why some books are still not available

(not so reliable) Source : First comment of the following reddit thread
https://www.reddit.com/r/math/comments/4wlwxn/psalpt_if_your_institution_has_springerlink_you/

[pale scarab]

What are some good math puzzle books?

[gray gazelle]

idk but heres a puzzle for you since you like puzzles: try to find a good math puzzle book

[sage python]

To bird a Killing form

[gray gazelle]

To mock a mockingmock.

[dapper root]

[hasty turret]

To kill a killingkill

[warm socket]

to form a modular bird

[slim peak]

Killing la Killing a Studio Trigger production

[manic fox]

studio bigger

studio smaller

studio you are being contacted by an unknown caller

[wintry edge]

I need to practice some NP-complete reductions for my exam. Anyone know of any good resources containing problems, solutions, examples... ?I've already looked through two books on the theory of computation, but perhaps there are some good notes,solved problem sets I'm missing on the web.

[still jay]

Not a recommendation, but I found some bourbaki books in the wild. Just thought it was cool :p

[prisma snow]

Steal them for me

[narrow talon]

Hot Algebra Exposed

[hearty steppe]

Oh nice you have Pinter

Lol all those Bourbaki books tho

[gray gazelle]

burn them

https://www.uni-muenster.de/Physik.TP/~munsteg/arnold.html

[mint sparrow]

Forget the Bourbaki!

[gray gazelle]

Tao is boring, me snoring.

[slim peak]

Can you read them ?

Because algebra books are kind of very heavy and hard to follow if I remember

[molten wave]

hmm

PDE hours or programming hours

[storm sleet]

Programming

But only in Dependently typed languages

Idris Coq Lean or Agda

[willow pecan]

PDE programming hours

[static crest]

[sage python]

How do you use computer programming in microlocal analysis?

[willow pecan]

I would like to know as well

Tbh

I might be convinced to care more about microlocal analysis if you can get better numerical schemes from it

[sage python]

Tfw not taking my bait

😦

[willow pecan]

What was the bait

[sage python]

Oh it was another PDE \subset microlocal analysis joke

[willow pecan]

Oh those are so last month

Dami please

At least make the bait good

[sage python]

Old but gold

[willow pecan]

What a straight thing to say

[sage python]

Lol

[slim peak]

@willow pecan look here

https://nbviewer.jupyter.org/url/mycore.core-cloud.net/index.php/s/zC6vyxZ8orX7vas/download

[willow pecan]

This is not very impressive

In my opinion

[slim peak]

I didnt say it would

[willow pecan]

This is barely even microlocal analysis

[slim peak]

oscillatory integrals more precisely

[willow pecan]

And the pdes being considered are all linear

.....

[slim peak]

No

[willow pecan]

linearized water-waves system

[slim peak]

Actually yes

[willow pecan]

[slim peak]

But they were for the non-linear system use

[willow pecan]

I also don't see any discussion of error

[slim peak]

Is just a "to see" stuff

It was not deep discussion

[willow pecan]

Sure

[slim peak]

There is some related asymptotics convergence in the lecture

but the discussion was not directly linked with the numerical stuff

[cosmic path]

Books on astrophysics at a basic level? (I’m in high school. But I’m also advanced for my grade)

[willow pecan]

Do you know classical mechanics?

[cosmic path]

Not really

Wait maybe

I know a lot about QM, GR, and a tad of M-Theory

Not a whole lot about the more technical side of things (force, acceleration, etc)

[willow pecan]

What is your background in math?

[cosmic path]

I’m in high school rn, so not extensive. I’m 1 level below AP Calculus (I’ll be taking that next year)

[willow pecan]

Ok so what do you mean when you say you know a lot about QM and GR?

[cosmic path]

I’ve read a few Steven Hawking books, and I have a book I’m reading rn called “Quantum Mechanics made easy”

[static crest]

how does one know literally any QM or GR before they've even done the equivalent of AP calc

[willow pecan]

Ok

[static crest]

that's certainly a claim

[willow pecan]

So it's more pop-sci understanding

[cosmic path]

Idk. I don’t know the fundamentals I guess, I mostly know the laws and such

Keep in mind, I’m in high school. I’m not an expert on this subject by any means

I just want an easy read explaining the stuff further in depth

[willow pecan]

https://openstax.org/details/books/astronomy

This sounds good

I looked through the table of contents

Also it sounds like when you've been learning physics you haven't been doing any calculations

Or computations

This book also has some exercises and stuff

[cosmic path]

Cool!

[willow pecan]

And doing computations is important

Computations and intuition feed each other

[cosmic path]

Ight

Thank you!

[slow matrix]

should I finish Rudin's PMA, or can I just complete halfway, before moving on to real and complex analysis? advice for self-taught person plz.

[calm crane]

it's prob useful to read till ch 8

[slow matrix]

oh ok, I just sometime feel like uhh.. bored? what's that feeling where you frustratingly slowly trudging through shallow water... maybe I should keep going while peeking at other stuffs from time to time to keep the motivation.

btw are you in college already now? @calm crane

[calm crane]

nop still high svh

[calm crane]

i agree with peeking at other stuff

[slim peak]

Does someone have a good Algebraic Topology book for Analyst ? I need some insights about stuff related to betti numbers (needed for understanding properties of opensets in Riemannian Manifolds)

[slate quarry]

I have no clue, but maybe this list could be helpful: https://marktomforde.com/academic/mathmajors/textbook-suggestions.html

[prisma snow]

What's chapter 9?

Ah

Duistermaat has intrigued me

[narrow talon]

Is it actually bad? I’ve never actually read it tbh and I think most just take on faith that it’s bad

Rudin Real and Complex, as much as I like it, is pretty much illegible on a first read unless you put in a ton of effort

[willow pecan]

Rudin is a disaster of pedagogy

Oh no

[prisma snow]

Lol

[broken meadow]

huh

[sage python]

This is decipherable? But yeah Rudin chapter 9 is where it breaks down

I feel like you just need to assume people know linear algebra at that point lol, or full blown teach it

The half-assed run through isn't a great idea

Well that's why I followed up lol

My "this is decipherable" was re "so incomprehensible"

But I do think at that point you read something else like Spivak Calc on Manifolds

[gray gazelle]

Hi, do you know any online mathematical library?

[slate quarry]

If you are looking for free resources, maybe this is helpful: https://danaernst.com/resources/free-and-open-source-textbooks/

[gray gazelle]

Wow

Nice

Thanks a lot

[slate quarry]

You're welcome ☺️

[gray gazelle]

The integral calc book looks nice

I'll read it from now on

[calm crane]

honestly for rudin

the real analysis part is good

when he tries to go to like multivar manifoldy stuff

too too dense read another book

the later chapters seems to only be useful when you start like func anal tbh

or measure theory but any reasonable intro book will intro

[gray gazelle]

Tao seems better

[calm crane]

tao is a bit

too slow for my tastes

personally analysis stuff i usually just like see a theorem, decide if it is trivial by inequality spam and then skip the proof in the book

[gray gazelle]

You like being fast

fast and bulbous

[umbral yoke]

opinions on resources for commutative algebra (in preparation for algebraic geometry)?

[dense pewter]

There’s a book called “commutative algebra with a view toward algabraic geometry” by eisenbud I think

Or maybe eisenbud and someone else

May be useful

[narrow talon]

Tao is basically isomorphic to Spivak no? That’s the impression I’ve always had

[calm crane]

LOL

idk

[storm sleet]

Eisenbud is dense

In terms of actual mass and words

[flat sinew]

Hello! What are some good analytic number theory books? I realise my uni doesn’t have any analytic number theory courses

[umbral yoke]

People have liked Apostol's Introduction to Analytic Number Theory, though I am not a fan of how much he avoids the Euler product in early chapters
I liked Murtry's Problems in Analytic Number Theory, but it is a bit of a time investment because much of the theory is developed on your own
I have also read some of https://faculty.math.illinois.edu/~hildebr/ant/ and liked it

[flat sinew]

Thanks! I’ll check them out 🥳

[sage python]

Apostol's supposed to be good yeah. I guess depending on what you're looking for

My analytic NT class this fall will use "Multiplicative Number Theory" by Davenport

Also there's more automorphic formsy stuff

[storm sleet]

Is Davenport better?

[sage python]

Idk if it's better I haven't used either

I just know that my class this fall is gonna use it

[storm sleet]

Ahh

[karmic thorn]

Maybe his grad analysis book is written in that spirit, but his undergrad analysis book are definitely much easier on the brain than Spivak.

[hearty steppe]

I mean I feel like Abbott is the best first exposure but you need more depth so I lean towards Schroeder and Apostol for that currently

[sudden kindle]

ayyy

[marble solar]

It's different

I really like Terry's analytic number theory notes

[storm sleet]

I’m planning on doing Apostle this summer

I’m gonna be reading atiyah commutative algebra, apostle number theory and something else this summer

[remote ginkgo]

rudin or hardy for analysis
riemann or artin for analytic number theory

[storm sleet]

Oh! I’m also reading the first and maybe second books in the princeston lectures on analysis

Fourier analysis and complex analysis

[marble solar]

skip the complex one

The fourier one is good

Learn complex elsewhere

[hasty turret]

Elaborate

[marble solar]

Stein and Shakarchi is bad for complex

There are many good complex books

[manic fox]

;hmmmcat;

[storm sleet]

Our complex course uses it, but I also have conways first book

I wanted something a bit more rigorous than the undergrad engineering focus one I have, and more rigorous than Needham

[sage python]

Stein is eh

FOr complex

It's fine but not great

[marble solar]

even worse

[sage python]

Idk Conway tbh

What's the deal with that?

[marble solar]

Terry's 246A notes are actually good

[marble solar]

Conway likes algebra

More than he likes analysis, also too slow

He does a lot of real analytic shit

Terry's notes are good. I haven't really seen good complex analysis stuff

[storm sleet]

I’m also an algebra oriented person

If that makes any difference

[sage python]

Freitag seems to be good for number theory

Narasimhan and Schlag are more topology/geometry

People here seem to like Marshall? @marble solar can comment on that

[marble solar]

It's a good book with a different approach

I mainly used it for the stuff on surfaces

That part was excellent

The other parts look good too, but I've heard mixed things

[storm sleet]

To expand a bit, my interest in complex analysis is only insofar as it would be beneficial to studying algebraic and analytic number theory, as well as AG

[timber mesa]

wow that's terrible

[manic fox]

yes

i hate algebra.

[marble solar]

I'd suggest terry's 246 notes

[sage python]

Does he have them in a nicely written up form?

Or just like splashed on his blog

[storm sleet]

If not, transcribing them could be good practice

[sage python]

Ehhhhhhhhh

[gray gazelle]

Give me...

[sage python]

Hmm @marble solar so I'm reading through some more spectral theory

One of the references is Barry Simon

"A Comprehensive Course in Analysis"

and holy shit

[manic fox]

le khudai tatti has arrived

[warm glen]

did y'all know anthony knapp has a real analysis book on his website

i wonder if it's any good since i heard his algebra book is quite nice

[sage python]

Knapp strikes me as a good writer

I wanna read his rep theory of semismiple groups book

[warm glen]

rep theory sounds cool

i can't wait to get to that part in artin

[sage python]

It's good shit

[karmic thorn]

For a moment I processed khudai as something dug up from ground

[manic fox]

imagine not having a kh in your language

[karmic thorn]

ख़

There

[manic fox]

can't read it so therefore it doesn't exist

[narrow talon]

Simon is that 4-5 volume set that’s basically “everything a PhD student in analysis needs to know” right?

[hushed spindle]

Can I recommend any book here?

[sage python]

Yup lol

[harsh talon]

https://www.maths.cam.ac.uk/undergrad/admissions/files/reading-list.pdf

reading list from cambride for undergrads

really like the format

[livid ermine]

Have anyone heard of the book "Metrics, Norms, Inner Products, and Operator Theory" by Christopher Heil?

I was wondering what you would call such a book. Is it analysis?

[willow pecan]

Sounds like hilbert space theory

So yes, analysis

[willow pecan]

Yes this is functional analysis

Nothing weird going on

[livid ermine]

ok

thanks

[slate quarry]

Have you read 'The book of proof', by Hammack? is it good for beginners?

[broken meadow]

its an ok book

does its job

light read too

🤷‍♀️

[humble mortar]

does that mean its a good book?

[broken meadow]

eh its just okay

i mean like

it's for intro to proofs

so like

im not totally sure if there is a "wrong" choice

[manic fox]

i don't think u shud be reading intro proof books

imo it's a waste of time

learn as u go

[static crest]

based and correct

learn proofs as you learn lin alg

the ideal proof learning technique

[broken meadow]

tfw college requires math student to take intro proofs for a semester

wasted my fall semester

could have been doing linear algebra then but noooooooooooooooooooooooooooooooooooo

its watever ig

[humble mortar]

seriously?

huh what a coincidence then

[slate quarry]

I've been told that proof writing skills are a prerequisite to learn linear algebra. Personally, since I'm not very good at math (in fact, I would describe myself as a 'math patzer') I don't mind reading a proof writing book if it makes things easier for me in the future.

[static crest]

it's just, wtf kinda proofs are you gonna write anyways before

[prisma snow]

I mean, if you don't know how to write proofs, it will take you longer to learn whatever you are learning. So if it's for a course you are taking, you might fall behind. But if you are just studying on your own anyway, you may as well just learn some math while you learn proofs since you can take your time anyway.

[static crest]

you'll just be grinding shitty proofs that will make you bored out of your mind

[manic fox]

^

like look

there are 3-4 techniques you spam

Contradiction, contrapositive, induction, direct proof

Most of the stuff u need comes from these few methods

there are cringe ones like transfinite induction but you don't really need that until you're doing more advanced stuff

[static crest]

transfinite induction is just induction

except instead of naturals, you just use some well ordered set

or some shit

[manic fox]

Well yes, but instead of doing just the n -> n+1 step you also do a "normal" ordinals to limit ordinal step iirc

[prisma snow]

Strong induction+

[humble mortar]

sounds like tekken 7

down back 2

electric

forward forward 2

wave dash

[hearty steppe]

Aye I found a copy of Trudeau’s Intro graph theory book and Halmos’ Boolean algebra in a Barnes and nobles. I may get both sometime in future. Not really studying graph theory at the moment but Trudeau looks good

[gray gazelle]

damn, the pm of canada wrote a graph theory book?

[static crest]

he was a math teacher once

[slow matrix]

ok, thnx for the tips. I heard for multivar calculus part some people recommend spivak calc on manifolds

[south ferry]

i found it very useful to do logic in my first semester, where we had introduction and application? rules
the only downside is that it makes proofs waaay too structured, so i end up just writing kinda proof assistant looking proofs

[manic fox]

[south ferry]

also induction is just structural induction

[manic fox]

i just learned along the way

[south ferry]

which is in fact the only proof technique you need for pl

"use induciton on length, consider the following 17 cases, this concludes the proof"

[manic fox]

le every proof i do these days it seems has arrived

[hearty steppe]

Richard Trudeau and Justin Trudeau I don’t think are related?

It’s a small book but I like the structure of it

[dapper root]

you couldn't try to skip it or w/e?

[broken meadow]

that's correct

so

the worst thing is that like

i started college "earlier"

[willow pecan]

"earlier"

Considerable

[broken meadow]

i opted to start college in the summer semester before because i knew that i would have some BS courses to knock out

and yes, i did knock out a humanities requirement and some other one too

BUT

i could not get into the intro proofs course which was infuriating

cus i knew that had to happen

and so summer was a perfect time to do it

but of course it didn't work and i didn't think to figure out who to email or whatever

eh

it doesn't matter i guess

i take many classes now

[willow pecan]

motel takes a considerable number of classes

[broken meadow]

yes

in conclusion i am not really mad

since i figured out how to play the scheduling game anyway

now all that remains is to keep taking courses while trying not to explode

yeah

that's the big one

burnout

it's scary

i think i found my limit this past spring semester though

i see

[wide meteor]

anyone know any good number theory texts?

[broken meadow]

oh no

[willow pecan]

I've definitely had semesters where I overloaded myself

They were bad

[broken meadow]

right

hmm

yeah i need to relax more yes

go to gym

and stuf

[willow pecan]

mniip in shambles

[broken meadow]

lmao

ye

[sage python]

@wide meteor what kind of number theory?

[sudden kindle]

@sage python what are you reading in the summer

You wanna try reading the ergodic theory textbook together?

[sage python]

I'm gonna meet with my advisor this Friday and get an idea of what I want to do

There's a lot of stuff I have in mind lol

[sudden kindle]

Ok

If you're gonna read the ergodic theory book lemme know. A reading group would be nice :)

[sage python]

Will do!

[broken meadow]

#chill @ivory whale

[wide meteor]

algebraic]

[sage python]

@wide meteor Try Neukirch or Milne's notes

For more elementary number theory with an algebraic flavor, people seem to like Ireland and Rosen

[manic fox]

why are there so many ppl with the same name in math

i always thought milne and milnor were the same ppl

[sudden kindle]

Number fields by marcus

[wide meteor]

this looks good

ty

[shut grail]

Oh shit that Professor used to teach at my uni lol

[sudden kindle]

O nice

[sullen horizon]

What are the pre-requisites for abstract algebra?

[manic fox]

know how to write a proo

*proof

[sullen horizon]

Where can I learn that?

[manic fox]

well u can pick it up tbh

Do you know the very basics?

[sullen horizon]

Yes

[manic fox]

Yeah you'll pretty much be spamming the standard four methods of proof

[sullen horizon]

Any books where I can learn to write proofs?

[manic fox]

i don't recommend those books

i feel they are a waste of time

And not very interesting at that

[gray gazelle]

hammack, book of proofs

[manic fox]

Just try reading D&F, see whether u can handle it

[patent ibex]

Yeah, if you really need to you can skim through a book on proofs

D&F might be hard but there are a lot of algebra books written for a complete beginner

[prisma snow]

I second Glenn's opinion. If you're going to struggle to learn proofs anyway, you may as well learn the math you want to in the process.

Wow

[manic fox]

D&F
Hard

[prisma snow]

I unsecond Glenn's opinion because they recommended DF

[patent ibex]

I mean it depends on your background right

[manic fox]

Well

[sullen horizon]

What about fraleigh?

[manic fox]

i mean there are barely any good contendors imo

for an AA textbook

[gray gazelle]

knapp

[manic fox]

not good

[sullen horizon]

I am currently in high school so I don't have much mathematical background...

[manic fox]

yea it's fine

I am in HS too

[gray gazelle]

yea same me = stoopido

yeah Glenn is in HS too ,

she is learning AA rn

[prisma snow]

Rotman is the only good AA book. But I have heard Pinter takes things slow and is good for beginners. So it might be slower on the proofs. So I recommend Pinter, even tho I haven't read it.

[manic fox]

I'm mirza stop referring to me as glenn this is unnerving

[prisma snow]

No, glenn

[gray gazelle]

Glenn

[manic fox]

Oh fuck no pinter only covers isomorphisms at like

chatper 10

[prisma snow]

If you call yourself glenn, we will too

[manic fox]

which is like

[prisma snow]

Oh, I didn't know lol

But who cares about isomorphisms

[manic fox]

[gray gazelle]

@sullen horizon check pins , scroll to the bottom to see a pin by Sloth Daminark

[sullen horizon]

Thanks

[whole rain]

Rotman also has an intro book that is also great

[prisma snow]

Oh

Right

Tru

Use that

[whole rain]

[gray gazelle]

[prisma snow]

If Rotman has written a book on a topic, all other books about that topic are cancelled.

[whole rain]

I didn't think I'd ever say that, but I agree with Luna here

feels weird to be wrong

[prisma snow]

Le surprise francais

[whole rain]

lol

stop sullying Luna, they're right

[prisma snow]

It's okay. Sullying me is like a selfsully.

It says more about them than me

[whole rain]

[gray gazelle]

What's the best book for Olympiad geometry?

[whole rain]

Evan chen's book ?

[gray gazelle]

Am doing that.

[whole rain]

And there's some problem with it ?

[gray gazelle]

Kinda not understandable! Like idk I need an easier version!

[whole rain]

Idk any book more understaandable than Chen's book tbh, but idk a lot of oly resources, I'll let someone else answer

[gray gazelle]

Thank youu!

[gray gazelle]

Maybe you could help? With the book? Parts I don't understand👀. No pressure!

[whole rain]

You can ask questions in #geometry-and-trigonometry or #competition-math if you want to, I'll help if I'm able to help or someone else will

[shut grail]

IKR. He’s passed away now unfortunately. But one of my current professor’s was really close to him back then and references/talks about Marcus all the time ahaha.

[cobalt arch]

Any PDFs that list most types of matrices? It would come in handy.

[willow pecan]

There is a matrix cookbook

https://www.ics.uci.edu/~welling/teaching/KernelsICS273B/MatrixCookBook.pdf

[cobalt arch]

Thanks I will check it out:)

[willow pecan]

Lowkey this is like

The most useful pdf

[gray gazelle]

[gray gazelle]

excuse me, can anyone recommend me some bedtime story book(s)?

[prisma snow]

Sure.

The Bible

[gray gazelle]

which verse?

[warm glen]

anything old testament is pretty boring imo

will put u to sleep real fast, 10/10 better than zzquil

[nocturne zinc]

book reccomendations about math specially trigometric functions

[storm sleet]

is Evan's PDE good?

[willow pecan]

Evans' PDE book is the PDE bible

[marble solar]

You'll most likely pick & choose what's appropriate for you

You should have background in analysis & PDE before reading evans

[storm sleet]

Good to know

[slate quarry]

This is a free one. Maybe is what tou are looking for http://www.mecmath.net/trig/index.html

[sage python]

Oh if you want to learn about trig check out "Singular Integrals and Differentiability Properties of Functions" by Stein

[marble solar]

Not recommending Trigonometric Series

C'mon Sloth King

[sage python]

Idk that one but I'm just setting trig = harmonic analysis

[marble solar]

https://www.amazon.com/Trigonometric-Cambridge-Mathematical-Library-Zygmund/dp/0521890535

[sage python]

For a second I thought it was volume I and III combined and I was like wtf happened to volume II

[slim peak]

no.

[willow pecan]

Yes it is

[slim peak]

Brezis' one will conquer the entire world

All hail Brezis

[willow pecan]

[late plinth]

anyone got recommendations for introductory numeric analysis?

preferablly applied cuz the only prereq for the course im takin in fall seems to be diff eq

[willow pecan]

What sort of numerical analysis are you interested in?

For numerical linear algebra, Demmel

Iserles has a book going through odes/pdes

[late plinth]

tbh im not sure, i dont really know much about num anal but figured might as well take it cuz i need it for my major and the class seemed p cool

i can link sylabuss

[willow pecan]

LeVeque has several books

[late plinth]

https://math.gatech.edu/courses/math/4640
not sylabuss but this is topic outlines

[willow pecan]

One in particular is on Finite Difference Methods for Conservation Laws which I think is quite nice

Because it develops the theory of non-linear conservation laws and discusses numerics for them

I don't think you'll find a single book that covers all of these topics

[late plinth]

is the book u recommended heavily proof based or applied? im fine w proofs but just wondering cuz i havent really dabbled too much w proof based math

[willow pecan]

Actually, you can ignore Iserles and LeVeque for this syllabus

Numerical methods, even if it is relatively applied, still deals heavily with proofs

[late plinth]

ah

i see

[willow pecan]

I don't know of a good proof-light intro numerical analysis book

[late plinth]

im taking an intro anal course this fall, so maybe i can check out the books u rec if i ever decided to take the second numeric analysis course at my uni cuz i think i will be comfortable then

thank u tho

[mint sparrow]

This book is used in some numerical analysis courses:
Numerical Methods for Engineers & Scientists, 3E [Gilat, Subramaniam].

[native lake]

Hey guys! I am starting Partial differential equations and ordinary differential equations. But i am lost at materials. Can u guys recommend me some books and online materials to start with

And slowly progress to advanced materials.

I am a newb at this. So I don't have much idea abt this

[frank matrix]

I highly recommend this textbook. I found it at a used book store and it seems pretty common since a lot of universities use it

[late plinth]

@native lake Paul's online math notes has a p comprehensive notes that cover a lot of basic yet important topicd

Also highly rec this https://www.amazon.com/Differential-Equations-Introduction-Methods-Applications-ebook/dp/B00UGE1Q4E

[acoustic gale]

MONTHLY REMINDER STORMLIGHT ARCHIVE IS GREAT

[prisma snow]

No, it's trash.

[acoustic gale]

no

[karmic thorn]

@frank matrix Er, posting books here which are copyrighted is discouraged due to Discord ToS.

[frank matrix]

I understand, Ill just dm it to him

[karmic thorn]

[manic fox]

[tranquil trench]

Can Anyone suggest or share a book for higher order calculus i want the concepts of Pi(particular integrals) ..plsss

[manic fox]

plss < piss

[quick hornet]

what do you mean by "higher order calculus"? like calculus in multiple variables (often called "calc 3" or "vector calculus" in the US)?

[tranquil trench]

Sorry..i mean higher order differential equation where we solve like ..complimentary function and particular integral ...

[prisma snow]

This doesn't do anything unless you delete the message here tho, lol

[sage python]

Deleted

[narrow talon]

lol my odes class covered none of the stuff that I’ve actually encountered “in the wild” since taking that class

[pseudo forge]

yea its really good especially when ur textbook doesnt do a good enough job

[gray gazelle]

never really done much of any math my whole life, any recommendations on a book that would teach me some good foundations? Some super old math textbooks? From the 1900s, 1600s?? , anything Really that would help me learn some algorithmic design, Gems???

[pseudo forge]

y super old

[gray gazelle]

Sometimes there's stuff in there that you can't really learn anywhere else

[torn horizon]

Arithmetic, geometric and harmonic progression. Continued fractions. Elementary combinatorics: Permutations and combinations, Binomial theorem. Theory of equations. Polynomials of a single variable. Inequalities. Complex numbers and De Moivre’s theorem. Elementary set theory. Functions and relations. Elementary number theory: Divisibility, Congruences, Primality.
someone suggest me the book for this topics.

[pseudo forge]

like..?

i dont think youll be able to read books from the 1600s

[gray gazelle]

Look man theres a reason for everything

[pseudo forge]

and thats what im trying to figure out..

[gray gazelle]

good deal?

[willow pecan]

[manic fox]

tteppa has inspired me. I am going to learn geometry

[marble solar]

imagine not already having a copy to sell for $10k

[gray gazelle]

having a copy of spivak would be nice

i think

seems like the kind of book that's nice to read before you go to bed

[marble solar]

I was reading Evans on Laplace Transforms last night

I was helping a student of my old CC prof through an old exam and showing what the techniques are

And a lot of it feels like it's my professors tricks just max'd out

So now i'm trying to Latex up the notes of his tricks because I didn't realize they were pretty non-standard

[ripe granite]

tricks

[marble solar]

Yeah he has an applied math exam as the fourth exam of the class

Where it's a lot of Laplace Transforms, systems of ODEs, Fourier Series, Heat Equation, and Runge-Kutta

[manic fox]

le rang wala kutta has arrived

[gray gazelle]

Le le has arrived

[gray gazelle]

@old jasper hammack

[old jasper]

for High school btw

or atleast, to be able to be understood by a high schooler

[broken meadow]

book of proof by hammack

if u google there is free pdf he provides

light read

[gray gazelle]

Yeah hammack is da best

[broken meadow]

i wish i tried velleman but the time is long gone for these kinds of books lol

it's not a huge deal tbh

just go with one and move on to a proper linear algebra or analysis textbook whenever ur ready

[gray gazelle]

Yeah well i used it only for specific stuff to reference. Never read them as is

A friend sent me a chapter of velleman and it was uh

[karmic thorn]

You can completely bypass proof books imo

[gray gazelle]

Helps with the outlines

[gray gazelle]

I'm looking for a good introduction to proofs book?

anyone?

[karmic thorn]

[slim peak]

Maybe 'im wrong but to me almost all serious undergraduate books contains some kind of introduction to it through their own first chapters

[manic fox]

yea my intro to proofs was like the first 5 pages of apostol's calc book

[gray gazelle]

yeah, but pretty much "introduction".

[karmic thorn]

What else are you expecting from a proofs book

[slim peak]

That was exactly my tough thought

[narrow talon]

A halfway decent proof of the Riemann Hypothesis at least

[slim peak]

Proof a my whole Thesis topic

in a book

that would be great

[gray hatch]

which book would be good for beginners in calculus ?

[narrow talon]

I hear that there’s an author working on it actually

[slim peak]

Nice easy PhD, gg wp

[gray gazelle]

Spivak

It is the only proper calculus book out there

[slim peak]

Tao's not okay ?

[hasty turret]

Tao is analysis

[karmic thorn]

If you count that as calculus, sure.

[slim peak]

I was just tthinking about the first one, but opening it I see really deep notion in the 6th first chapters of it, but the calculus-related chapter are quite fair to me

Chapt 9-11

[karmic thorn]

I mean, you'd probably expect to see a fair amount of emphasis on explicit computations in a calculus class

Tao doesn't have such problems

But the book is a really gentle introduction to both analysis and maths itself imo

[slim peak]

Let's call it "Integral and derivative Computations Lesson" instead then

[karmic thorn]

Ahahaha

Well that is the general calculus class

Proofy-stuff usually goes into analysis

And I guess European unis tend to erase the distinction

[slim peak]

Completely

[karmic thorn]

That's fair imo

Wish that could be more standard

[slim peak]

The difference is made only for students that have chosen a specific enigineering/chemistry/physics road

[karmic thorn]

That's the way it should be

Maybe at places where mixed audiences take calculus class together, it makes sense

But at my place one is supposed to declare major at the onset, and still the class is computational, and proof based only very later

[slim peak]

But it is sad since you don't give stuff such as Rolles' theorem which can be interpreted as "a car that turn around pass through speed 0 mph"

[karmic thorn]

I think calculus at school already does that

And maybe an intro analysis class can add some insights like these too

The seperation between calculus and analysis for math majors is actually quite stupid

[slim peak]

Yes

But sitll stupid for other students, maybe the only one for whho it is really unecessary are the Chem/engineering students

but some Physics Major will may be involved in really deep Maths later

quite weird

[karmic thorn]

Indeed

[misty mica]

I’m reading through Boyce’s differential equations book, can anyone who’s read it say if it teaches enough about PDEs and Fourier series or will I have to get another book for those?

[sage python]

Yeah depends on to what end

[slim peak]

I agree, more over Fourier series are not as useful as people said in PDEs

[dreamy adder]

does anyone else find the exercises in chapters 3d and 3e of linear algebra done right (axler) really difficult?

i'm wondering if that's normal or if i'm missing something

[slim peak]

I just gave a look on the Chapter 10. In my opinion it is neither good for PDEs, nor Fourier series.

But the the rest of the book seems pretty solid

It is a good overview for ODE's techniques and "handmade computations" in more elaborate case, but the book is an overview of ODEs, with an application for PDEs using Fourier series, this is far from what can be achieve with these tools.

[misty mica]

Thanks for the responses! I want to know as much about them as I would need to be able to apply them in physics and engineering (so not too in-depth)

[hearty steppe]

I didn’t like Boyce DePrima much personally. Idk, I have been taking a break from Diff Eq to focus on other stuff. The book I prefer is Naggle Saff Snider

As far as like the amount of psets involved

I don’t think Boyce DePrima really covers PDEs much? Idk I felt like the psets were lacking so I moved to the other book

[slim peak]

Only one chapter

[broken meadow]

nagle saff snider is ok

eh

[slim peak]

and not the good way, it only use real valued Fourier series

which is kind weird

[misty mica]

it was the only recommended book i could find in my library

like recommended as in ive actually heard about it online lol

[hearty steppe]

I am down for better intro Diff Eq recommendations, especially ones that are very detail oriented and allow you to learn well as an autodidact

I only have a few Intro Diff Eq books to really pick from atm

[slim peak]

What languages do you understand ?

[hearty steppe]

English

[slim peak]

no other ?

[hearty steppe]

Nope

Just English

I’m a basic American bastard

[slim peak]

Haha

that was not my point

[hearty steppe]

I don’t have time to learn another language mate lol. I wouldn’t if I had the time. So much time to spend learning math and physics alone

Like I think I have some excellent advanced Diff Eq book recs but not much in between maybe

[slim peak]

Viorel Barbu's book is really good

[hearty steppe]

Uh which one?

The one titled Differential Equations?

[slim peak]

yeah

[hearty steppe]

Ok is the PDE one good too?

[slim peak]

may be too advanced

Maybe a little bit hard, but the 250 frist pages of the Evans for PDEs may fit your expectations but no Fourier Series were used

[storm sleet]

What kind of background do I need in RA to study FA insofar as its needed for ODEs/PDEs

[slim peak]

Measure Theory then the construction of the Lebesgue Integral.

Then Functional Analysis can be seen almost as an appart stuff, but you need to be aware about Banach spaces and some general topology fact in convex topological vector spaces. Then you can go back to investigate of properties of Lebesgues Spaces, then Distribution Theory, into Sobolev Spaces. Going back to Functional Analysis for Spectral Theory and Operator Theory, thenn go back on Sobolev Spaces.

After that you have different possible choices to continue depending on the kind of PDE you want to do

[halcyon hornet]

Hey Guys.
How is OpenStax for learning Math.
I am currently on beginner Algebra 1.

[sudden kindle]

Its okay

Its good that its free

Thsts why I use openstax for teaching

[manic fox]

yamin teaching

[storm sleet]

We use openstax for our calc sequence. Its... ok

lotta typos, and be aware that the downloaded version may be different than the online version

[paper brook]

I recommend A Series of Unfortunate Events It’s a great book give it a try when you’re at the library

[quick hornet]

[velvet cove]

hello,. I successfully completed my high school education and then Covid hit the world. i am very interested in mathematics. As educational institution are closed at the moment so i would like you to recommend me some mathematics books,mathmetics course,mathmetics syllabus so that i can get an overview of mathematics education after high school at university...??

[hearty steppe]

It would be nice if we could make a mathematical maturity learning map/graph of recommended books starting from the foundational level to higher levels

Like the map can split paths and stuff

[hollow sun]

The first book that I always recommend to my friends would be some basic intro to proofs book or some basic discrete math books

[still jay]

Here’s one, but people use different stuff

[sudden kindle]

All roads lead to AG

[hearty steppe]

Yea something exactly like this

[sudden kindle]

Dont take this map too seriously

A better approach to learn math is to have a goal and to learn the things that you need to get there

[hollow sun]

lol

[velvet cove]

i heard "applied mathematics" what is it actually?

[sudden kindle]

Any math that some scientist needed to solve their problem

[still jay]

Yeah it’s more of a overview of what there is in general and possible paths to get there

[velvet cove]

thats the same approach i used to study for exams in high school .....but for level higher than high school....how do i know which books to study as there are plenty and differents books are written for different approaches...

[sudden kindle]

Maybe look at standard curricula at undergrad institutions, but also why do you want to learn math? What is it you want ti gain? Is there anything in particular you are interested in? Or you just wanna have fun learning a random topic?

[velvet cove]

i enjoy doing mathematics topics (mostly, if not all) ...and i want to use this fun subject to gain knowledge....and go to advance level if possible

[sudden kindle]

Okay yeah the standard indtructory topics are real analysis, linear algebra and topology. Pick your poison 😈

[hollow sun]

I would definitely start with linear algebra tbh, from out of those three

[velvet cove]

in high school i used to have fun doing some topics like calculus, sets, geometry,trignometry,series, matrix.etc but i think i find some topics like probability a little hard to grasp....(but maybe i have not given time to these topics, so that cause me to think them hard)

[karmic thorn]

I'd say analysis is an equally good starting point, and to that end I suggest Tao's Analysis 1.

[native lake]

U indian bruh?

[sage python]

Linear Algebra I think is the best starting point

If you're about to hit undergrad at least

If you're earlier then maybe you could just burn some time dabbling around

e.g. discrete math

I wouldn't start with topology until you do the other things tbh, it's easy to get bored if you don't see the point of it all

Or I mean... at the beginning it's really cool

But it drags on a while

[velvet cove]

from pakistan.

[native lake]

Yeah, i could sense that u were from the subcontinent

[native lake]

No need to get offended, i myself am from the subcontinent. So, i can sense similar people

[shell niche]

read the quran brothers 🙏

[gray gazelle]

is there a more clearer image of this?

[manic fox]

no

[gray gazelle]

[gray gazelle]

just open the image

and magnify

zoomed in as much as possible

but prob cuz I am mobile atm

[forest wadi]

I'm a complete beginner in algebra do you guys have a any book recommendations that aren't too expensive?

[prisma snow]

Expensive? 👀 👀

I think you're going about this the wrong way

[sage python]

Jacobson Basic Algebra I is $20ish

[karmic thorn]

Knapp's Basic Algebra is legally available for free from the author's webpage, you can print relevant sections if you like.

[hasty turret]

inb4 they want "college algebra"

[karmic thorn]

Oh

Then OpenStax

[frail flax]

I'm looking for a basic calculus book that includes the following:

• taylor series
• integrations using trig and hyperbolic functions
• applications of integrations - e.g. surface area of revolutions
• first and second order diff. equations
• etc etc

[analog pollen]

I’m not sure if any calc book includes any second order diff eq

[hasty turret]

Sounds like a standard engineering textbook

Probably kreyszig

[frail flax]

Wouldn't that include physical concepts?

I'm looking for a pure book

[hasty turret]

engineering math books don't

Well,try kreyszig you may like it

[frail flax]

Advanced Engineering Mathematics by Kreyszig?

[hasty turret]

Yes

[frail flax]

@hasty turret It's waaaay too advanced for me

[hasty turret]

ic

[frail flax]

Plus, it looks like the only things the book has from my list are diff. eqs

[frail flax]

Do you have another suggestion?

[hasty turret]

Sorry no

[karmic thorn]

@frail flax If you're not strictly looking for books, I think Paul's Online Math Notes has all of that

[viral hill]

Apostol vol I does

But its only a small section tbh

[gray gazelle]

chapter 7 onwards, not recommended

still great tho

[karmic thorn]

[analog pollen]

Oh damn

But I would think you’re better of With just buying a diff eq book

[gray gazelle]

Any of you know about "A course in Analysis" by Neils Jacob ? It is the recommend course book(1st volume) but apparently no one have seem to heard/review it

[karmic thorn]

Never heard of it before. Skim through the first few chapters?