book-recommendations

[gray gazelle]

april fools xd

[willow pecan]

[karmic thorn]

Oh lmfao

Got clowned twice since morning

Smh

[willow pecan]

[spare oyster]

:catstare:

[willow pecan]

[hearty steppe]

[gleaming sandal]

wtf

[marble rock]

is ireland-rosen considered elementary NT or algebraic NT or both

can someone who knows only algebra do ireland-rosen?

[sudden kindle]

IR touches on alg NT later on

In the begining its elem NT

[marble rock]

yes

jk

dk

[sudden kindle]

Number Fields by Daniel A Marcus

❤️ ❤️ ❤️ ❤️ ❤️ ❤️ ❤️

[sudden kindle]

I spent a year reading this

No

It's a good introduction

It has lots of problems

Very fun imo

Nothing

Chapter 4 assumes some Galois theory

[gray gazelle]

http://www.math.toronto.edu/~ila/2018_Book_NumberFields.pdf

[sudden kindle]

I think playing with number rings is a good way to get more familiar with ring theory

[hasty turret]

Define an ideal

[sudden kindle]

Ring*

[hasty turret]

Define a ideal generated by a set

[sudden kindle]

Yes

This is the second edition

[hasty turret]

*finite linear combinations

[sudden kindle]

I read a torn up copy of the first edition from my library

The book was falling apart by the time I was done with it

[gray gazelle]

like a true maffemaficain™️

[sudden kindle]

@gray gazelle how much Galois theory do you know

Okay

Well algebraic number theory is a cool application of Galois theory if you ever wondered what we use Galois theory for

[gray gazelle]

eli15 modular forms , pls .

[sudden kindle]

Modular forms = magic functions

All you need to know

[gray gazelle]

perfect

mirza

[sudden kindle]

Yes let's corrupt the youth into Number Theorists

[gray gazelle]

i plan on reading serre but it feels so damn daunting

is there a number c such that for all naturals n > c, there are two naturals x,y such that x² + y² = c

lmao

yes

i was there

trig moment ?

[sudden kindle]

What's the dependence on n

[gray gazelle]

wdym

oh yeah that happens to me a lot

[sudden kindle]

For all natural numbers n> c [condition that doesn't depend on n]

[gray gazelle]

oh sorry

i mean x² + y² = n

[sudden kindle]

Ok

[gray gazelle]

it's a meme problem though

[faint moat]

yea

[gray gazelle]

does it use trigo

no

[faint moat]

obviously there isnt any such c

reason? it's obvious enough

[gray gazelle]

true, true

[sudden kindle]

There are infinitely many numbers which are not sums of squares

[hasty turret]

Are there infinitely many primes of a given form?

Like 4k+3

[gray gazelle]

chad yes

[sudden kindle]

Yes!

As long as the form is a linear form

Yes

[hasty turret]

Is this a theorem or smt

[gray gazelle]

there is this ridiculously op theorem known as dirichlet's theorem on arithmetic progressions

[sudden kindle]

And it's called Dirichlet tHeorem on primes in arithmetic progression

[gray gazelle]

if gcd(a,d) = 1, then there are infinitely many primes of the form an+d

[sudden kindle]

If the appendixes make sense then yeah

If they dont, you might need to read the material elsewhere

The appendices are short summaries of things

[gray gazelle]

https://cdn.discordapp.com/emojis/771396709070012477.png?v=1

why are you telling me this

[sudden kindle]

Nope

Btw

One way to prove Dirichlet theorem on primes in arithmetic progression is to use zeta functions and analytic number theory

[hasty turret]

Is there a way that doesn't do that

[sudden kindle]

Idk

The idea is this: you know how the zeta function zeta(s) has a pole at s=1?

This implies that there are infinitely many primes

Yes meme, you dont need to use zeta functions to prove there are infinitely many primes

But you can create a different zeta function for the primes that are in some equivalence class mod N. And the existence of pole for that other zeta function implies there are infinitely many primes for that residue class mod N

Something like that

[hasty eagle]

6760420706677078

[gray gazelle]

isn't that the zeta one

good... good

[sudden kindle]

Yes this is the proof I was talking abt mirza

[gray gazelle]

zeta one

[sudden kindle]

It looks like a meme, but the same type of argument is used to prove dirichlet's theorem

[gray gazelle]

which character do you use then

[sudden kindle]

Multiplicative Number Theory by Harold Davenport has this story

[gray gazelle]

❓

lol cox

[gray gazelle]

@sudden kindle beginner -ish book for algebraic NT ? One that doesn't drag too much if possible

(also sorry ping)

[willow pecan]

How beginner-ish

Serre's Course on Arithmetic I think is intended as a beginner-ish book for number theory, both algebraic and analytic

It doesn't drag at all

[gray gazelle]

wait

you mena

wait a sec

[sudden kindle]

[gray gazelle]

this ?

[gray gazelle]

i briefly took a look

[sudden kindle]

[willow pecan]

Yeah

Is it too terse

[gray gazelle]

o no , i haven't started with serre's one .

[sudden kindle]

Try reading ch1 and doing some exercises

[willow pecan]

Does Serre have exercises?

Perhaps

[sudden kindle]

Ch1 is kinda terse I guess

[willow pecan]

You can really treat every single line as an exercise

Because for every line that Serre writes, 5 lines are omitted

[sudden kindle]

Yeah I feel like Serre is very terse compared to Marcus

[willow pecan]

Serre is exceptionally terse

But if you want "does not drag"

Serre is the best at this

[gray gazelle]

I think i will give marcus a shot then

[willow pecan]

[sage python]

Serre and Marcus don't really even do the same thing lol

[storm sleet]

What does Marcus cover? Other than the obvious title

I have Serre bc Richard Borcherds was loosely following it in his modular form series

[tranquil ocean]

it's a pretty standard algebraic number theory text, the usual material about splitting of primes with a little extra stuff at the end

the first part of Serre does some quadratic forms stuff and teh second part is the modular forms part

[sour briar]

As a pure math student, I'm looking for a book on elementary number theory, but lately, I couldn't make my mind on which of the following books would be best for me:

An Introduction to the Theory of Numbers by G.H. Hardy and E.M Wright
Elementary Number Theory by David M. Burton
Elementary Number Theory by Kenneth H. Rosen

How do the following books compare?

[gray gazelle]

Anything but burton -> biased opinion

[marble grotto]

the hardy one does a lot of stuff and it's quite readable

[gray gazelle]

I would go with Rosen

or Hardy

[marble grotto]

i was introduced to elementary nt with burton, i thought it was alright 🤷‍♂️

[gray gazelle]

i hated it

[gray gazelle]

hardy has no exercises

so you'll need to find them elsewhere

[hybrid kestrel]

CAN ANYONE GET ME MATHCOUNT BEGINNERS BOOK AND GEOMETRY PROBLEM BOOK PLS HELP THIS POOR INDIAN GUY!!!

_/_

[hasty turret]

No.

[hybrid kestrel]

I REALLY NEED THAY BOOK

WHY

?

even photos will do pls

pls

[gray gazelle]

why is hanuman late

[hybrid kestrel]

😆

krishna is all in one avtaar dont u know that

xd

btw i really need help

[tranquil ocean]

what are you looking for those books for? There are some online if you google library genesis

[gray gazelle]

this two are on libgen

[hybrid kestrel]

bro can u get me the pdf as i searched it on gensis btu did not find any

even if u send the link will do

pls

[gray gazelle]

if it is not on gen then i doubt it can be found elsewhere

name the book

properly

[hybrid kestrel]

ahh!!! i already have these

docs which u have mentioned

wait lemme get the name

[tranquil ocean]

first step for math olympians by faire is on libgen too

[hybrid kestrel]

Geometry Through Competitions

Algebra II Through Competitions

these two!!

[tranquil ocean]

idk what you're really looking for but many of andreescu's books are on libgen and those are good as well

I'm confused. Mathcounts is an olympiad

[hybrid kestrel]

actually just wanted to get confident in basics

[tranquil ocean]

just the basics of math?

[hybrid kestrel]

yeah @tranquil ocean

yup bro

[tranquil ocean]

then you should probably be looking at things like khanacademy

[hybrid kestrel]

bcz i had a long time learning the math

[gray gazelle]

isn't it the fast arithmetic thing ?

[tranquil ocean]

I don't think these books are really the right way to go, unless you're interested in comp math or something

[hybrid kestrel]

khanacademy!! i dont find it pretty interesting

[tranquil ocean]

maybe you're thinking of countdown, which is a part of mathcounts

[hybrid kestrel]

what interests me is books bcz i have a tend towards self study

[gray gazelle]

ah i wan't aware .

[tranquil ocean]

that's fair, maybe you should look into Lang's Basic Mathematics or something of that sort

[gray gazelle]

I recommend Irving's book for basics btw

[tranquil ocean]

comp math books usually focus more on comp math related techniques that might not be relevant

most of them are still pretty good though

[gray gazelle]

@hybrid kestrel What are you targetting ? math olymp or ?

[hybrid kestrel]

math olym

to be precise and yeah my target is nsejs (indian junior science olympiad stage 1)

[gray gazelle]

o lol

idk what that is

[hybrid kestrel]

for rmo actually i would prfer practicing

pls if someone if u have the book do share it

[tranquil ocean]

we've recommended a lot of books that you can use that are just as good, you don't rlly need to fixate on a few books

[hybrid kestrel]

ok bro

can u pls mention them again

[tranquil ocean]

just scroll up

[hybrid kestrel]

and are they really of the level of mathcounts becuase nsejs math is similar to it

[tranquil ocean]

I don't think this book is really at your level

[marble grotto]

that site is likely malware

[quick hornet]

yeah that link is almost definitely bad

deleted because probably shouldnt be hosting malware links

there are safe sources of pirated material (Though those shouldnt be linked here either because TOS)

but a site with fake awards and fake reviews is not one of them.

especially since it requires a "trial account"

if its not malware, its trying to get your credit card info

[livid ermine]

Is visual complex analysis good?

[frail jungle]

Hello o/
I will be starting with calculus for the first time this june
what book will be the best?
Thomas calculus or James stewart's early transcendentals or any other?

[marble grotto]

spivak

[frail jungle]

I cant study online
I read things for a day or two and then I forget
i want to learn from a physical book

[gray gazelle]

print the notes, if you can ?

[gray gazelle]

Hey guys im new to this server i was actually hoping u could suggest me which books i can reffer to cz i have an exam comming up on 15th its on trignometric equations

Thx

Hey and anybody from here know bout what refrence books will be good for SAT exam thx

[hasty turret]

Trigonometric equations is an oddly specific topic

[velvet shuttle]

@hybrid kestrel for nsejs, focus on some institiutes modules

for mo's, well you have thousands of options 🤷‍♂️

[pseudo forge]

is there a book on LaTeX

or do you just learn as you go

[willow pecan]

You learn as you go

[pseudo forge]

alrighty

[broken meadow]

(lots of stack exchange and various obscure pdfs outlining how to do things in tex are to come)

[pseudo forge]

spivak is a bit more advanced id say, stewart easier to read but less rigorous from what i've experienced at least

[pseudo forge]

lol

[gray gazelle]

there are actually some books

but those are like

thicc

[pseudo forge]

ah

[gray gazelle]

better used as a reference

[pseudo forge]

yea no i have enough books to read as of now

one less wouldnt hurt

[gray gazelle]

i find strang to be much more easier

(though the exercises are hard, no kidding)

[hollow peak]

what's a good riemannian geo textbook

I'm thinking either do carmo or lee IRM?

[willow pecan]

Do Carmo and Lee are both common recommendations

[broken meadow]

what are the prereqs for do carmo

[tranquil ocean]

Technically not much since he does all the smooth manifold stuff at the beginning but

[willow pecan]

But

[hollow peak]

[gray gazelle]

but

the first half of the book doesn't require too much outside of a familiarity with basic smooth manifold theory

the second half of the book, however, requires more

you should be comfortable, or at the very least familiar, with algebraic topology

covering spaces come up a lot

there's an entire chapter on fundamental group stuff

[willow pecan]

I guess Lee is a more standard introductory text for diff geo

?

[hollow peak]

is there a lot of stuff with forms?

I guess that's obvious

[gray gazelle]

do carmo avoids differential forms like the plague

which is disappointing

[willow pecan]

[pseudo forge]

fair, i rep stewart cause fellow Canadian

[hollow peak]

could I get by with the first 3 chapters of tu introduction to manifolds?

[gray gazelle]

probably

[hollow peak]

that's all the stuff before lie groups and integration over manifolds, but it's all the technical manifold stuff

[gray gazelle]

you might want some of the integration stuff

just might

• orientability

[willow pecan]

Oh also pdes on lie groups is a thing

[hollow peak]

I've heard about lie group methods but I think that's different right

[willow pecan]

No clue

[broken meadow]

ic

hmm

see i ask because idk when they're gonna offer differential forms at my university and im thinking i could ask a professor if they'd like to help me via a reading course or sth

so was thinking after i do some more math i could either do it junior year or senior year

just donno when to ask is all

[ripe granite]

differential forms

[broken meadow]

fuck i meant diffgeo

word

s

but ya

like the course i mean aha

[ripe granite]

diffgeo

[willow pecan]

[broken meadow]

[eternal jackal]

is maclane a good book for starting out learning categories-if not does anyone have recs

[molten wave]

depends on your background

[eternal jackal]

I have a standard undergrad curriculum down

and a bit of grad analysis and algebra

[molten wave]

that should be fine then

[eternal jackal]

okay bet thanks

[molten wave]

riehl is a bit more modern, but also perhaps a bit more basic

(some of the notation is maclane is definitely archaic though)

[willow pecan]

Isn't there a book called Wiebler or Weibler or what not

[gray gazelle]

Weebler? OwO

[willow pecan]

Wiibler

[still umbra]

Steve Awodey's Category Theory is pretty good. It's much more approachable than maclane imo

[eternal jackal]

thanks!

[crimson hinge]

what do you think of "Berkeley problems in mathematics" by De Souza and Silva? is it good for qualifying exam preparations?

[ripe granite]

depends on the qual

but it is good

might be a bit outdated tho

[crimson hinge]

ah I see. what I'm doing now is reviewing past exams. I haven't put much time in that book tbh

[ripe granite]

doing past exams is probably the best way to prepare

the problem with the book is a lot of the problems are from 1980-2000 I think

and it feels like quals have got harder lately

(this definitely depends on your university)

[crimson hinge]

got it. I'll keep working on past exams. btw I'm doing Applied Math at Iowa State University 🙂

[ripe granite]

good luck!

[gray gazelle]

What are some such problem "banks" for university entrance like the one mentioned ?

too costly

never heard of mate

[quick hornet]

fyi, "qual" usually refers to graduate qualifying exams, not exactly entrance exams

[gray gazelle]

scummy

[quick hornet]

a grad student takes them after being admitted

[gray gazelle]

yeah i just saw what the book is for

[quick hornet]

usually a year or so into the program

(but timelines vary, princeton does them right away)

[gray gazelle]

i mean the syllabi/some problems for that book matched what the uni exam here requires so i see no harm in soving that

[quick hornet]

sure, i agree

just making sure you're aware

[hasty turret]

You can pay me for that

[marble grotto]

oml why does kriz not have an errata

there's so many typos

[gritty apex]

where can i find the complete menu of algebra sorted in proper order.

catalouge?

[karmic thorn]

You mean a list of topics/fields within algebra?

[gritty apex]

does this covers them as whole. or are there more:
https://www.mathplanet.com/education/pre-algebra
https://www.mathplanet.com/education/algebra-1
https://www.mathplanet.com/education/algebra-2

[gritty apex]

yes

[karmic thorn]

I mean, this seems to be all the algebra one typically covers at school.

One might see some linear algebra in addition.

But algebra(in the pure maths curriculum) goes way beyond and is extremely wide.

[gritty apex]

didn't some one catalogue all of them. I just want to see all the topics out there.

[karmic thorn]

There are too many, and the classification gets blurred between different fields due to overlaps.

[gritty apex]

☹️

[karmic thorn]

https://arxiv.org/archive/math

The tags here would give you some idea about different branches in mathematics

I'm not qualified enough to single out which ones would be called "algebra"

[quick hornet]

there's mathscinet's MSC2020 classification scheme

which attempts to number every subfield of mathematics through a dewey-decimal-esque system

https://mathscinet.ams.org/msc/msc2010.html

e.g. here's the subdivisions of section 19D, which corresponds to higher algebraic k-theory

(in practice there's a lot of "blurred lines" between different sections, e.g. plenty of other 19xxx fields could be considered closely related to higher algebraic k-theory 19Dxx; they just fit under a more specific label)

somehow i dont think this is quite a satisfying answer

but it should hopefully convey that theres a LOT of algebra

(all the subjects from 8 to 20 are definitely algebra (except part of 11) and others like 6, 22, 55, 57 are closely related)

also in case this is overwhelming: dont worry, i have absolutely no knowledge of 99% of the shit that MSC2020 classifies (and thats lowballing)

and havent even heard of a good bulk of that 99%

this is entirely normal, theres a lot of mathematics out there

[crimson hinge]

I think PCM II.3 is a good summary of algebra as well

it's organized as timelines and I think that makes it easier to follow and see how algebra is developed

if you're interested in modern algebra only, I think section 9 (and its references) is enough

[gritty apex]

What's PCM?

[full linden]

Lol

[gritty apex]

so it's a drink?

[gray gazelle]

princeton companion to mathematics

weeb

[crimson hinge]

Princeton Companion to Mathematics

[willow pecan]

[late harness]

Any suggestions if I enjoyed Asimov, Orson Scott Card, Greg Egan, Luke Rhinehart?

[steel sable]

What are good math books?

[willow pecan]

It depends on what you want to learn

[steel sable]

10th grade Algebra 1

Ok

How much are they

[karmic thorn]

Free if you try hard enough. 👀

[steel sable]

Lol

[karmic thorn]

I think the OpenStax project has an Algebra 1 book.

[steel sable]

Aight

[late harness]

Thanks!

[slow roost]

Cixin Liu

[storm sleet]

Idk if this is the right place to ask, but how do people organize their books?

[willow pecan]

As pdfs

[storm sleet]

:/

[slow roost]

I have my math books roughly arranged in order I encountered those subjects, from easier to harder within a subject

then all fiction alphabetical by author

nonfiction by subject matter

PCM first in line on the math shelf

[vapid scroll]

ok

thats cool

[narrow talon]

The chad way, by color and height only

[slow roost]

and? How does that work?

[storm sleet]

I just reorganized mine to dewey decimal. Don't

[gray gazelle]

I organize my physical books by subject area

[crimson hinge]

Zotero

[mossy flume]

bro I must have been the only person to not learn dewey decimal lmao

[gray gazelle]

just have nested directories to store the pdfs

[warm glen]

rip that's what i do but i name them according to subject rather than author name or book name and then if i have multiple books for 1 subject i just add numbers to the names

honestly everything is easy to find but if i ever get into the hundreds of pdfs i'll need a new system definitely

[gray gazelle]

lol

[glad grail]

Hall and Knight

[karmic thorn]

Just download books and forget about them so they stay in the Downloads folder

[dapper torrent]

Imagine using books cringe -this post was made by handout gang

[gray gazelle]

fields artin or d&f go

[gray gazelle]

or sth else if you know a better source

[static crest]

d&f

[karmic thorn]

Artin

[gray gazelle]

1:1

[calm crane]

jacobson

[gray gazelle]

1:1:1

[calm crane]

jacobson

[gray gazelle]

[tranquil ocean]

Lang

[gray gazelle]

1:1:1:1

[tranquil ocean]

more seriously, what exactly do you mean by field theory, what are you trying to learn

[gray gazelle]

fields and shit

intro so I can learn galois

[calm crane]

any intro algebra book works

[gray gazelle]

ofc it does im asking for a favourite

[calm crane]

what book are you using now

for like

basic algebra

[gray gazelle]

none

[calm crane]

oh

[karmic thorn]

[calm crane]

tbh see pinned msg

[gray gazelle]

Foundations first is active mental mutilation.

[karmic thorn]

Ultra-pilled

[calm crane]

but i suggest jacobson :)

[gray gazelle]

ill check it out, for the rings and groups ive used quite few books, but depending on chapters I liked one book over the others so thats why I ask, but I suppose it depends on the person

[calm crane]

wait when's easter

[willow pecan]

Today

[calm crane]

kool

then why do i still need to go to school

[obsidian valley]

you have school on sunday?

do you have sunday school

oh its monday for you lol

[calm crane]

,ti

[hasty eagle]

The current time for ariana is 01:44 AM (+08) on Mon, 05/04/2021.

[calm crane]

yes

i ran out of things to get drunk off alreadu

[willow pecan]

[molten wave]

wait

nevermind

[gray gazelle]

Does anyone know where to get Michael spivak’s calculus and geometry for cheap? It’s ridiculously overpriced on Amazon:/

[willow pecan]

[wooden sparrow]

[gray gazelle]

the hardcover edition is so pretty tho

[wooden sparrow]

@gray gazelle you can borrow it from a website

[gray gazelle]

Which website is that?

Hehe borrow it and disappear nice

[wooden sparrow]

Rhymes with bibzen

[gray gazelle]

Libgen?

[wooden sparrow]

[willow pecan]

[gray gazelle]

Why is this such a secret tho lmao😭

[broken meadow]

We cannot condone piracy uhhhhhh

uhh

[gray gazelle]

Knowledge should be free

[crimson hinge]

and books are not

could you get it from a library?

[gray gazelle]

Nah I checked they don’t have it

[crimson hinge]

maybe reach out to the authors and ask for the chapters you're interested in

[gray gazelle]

Have u ever seen a book that makes u horny?

[willow pecan]

[gray gazelle]

Shit bro imma have to commit a crime

[broken meadow]

:/

[slow roost]

what does this mean? it's a standard graduate algebra book. And the one I used. So wtf

[obsidian valley]

well sounds like yohan just unintentionally roasted you and your cohort

[slow roost]

I mean I don't mind thinking it's a shit book

most of us hated it

but for people with less math background? that's below the belt

all of the yellow GTM books are for people with solid math background, no?

[crimson hinge]

GTM is more of a "catch-up" series

they are good summary and reference books

[steel viper]

tbh i dont think GTM even has a unifying philosophy at this point

[lunar glacier]

Any thoughts on A graphical approach to precalculus with limits by hornsby, lial and rockswold?

[willow pecan]

I'm pretty sure a number of GTM are used for undergrad classes

I'm not sure though

Like Lee is the go to book for diff geo right

GTM just spans a very wide range

[slow roost]

Lee is a standard book for a graduate differential geometry course

yes, some undergrads read it too

a lot of undergrad programs don't even offer courses in manifolds

[willow pecan]

This is true

[sage python]

The thing about this stuff is that it's very ambiguous what's graduate and what's undergraduate

Especially since there's a certain level that any serious math student is expected to get as an undergrad, but most good ones go some level beyond that

e.g. everyone should know analysis at the level of Baby Rudin, take a typical "undergraduate algebra" course, some interaction with topology and complex analysis. Like if you don't have that you're an exception

But then I think a lot of the people who hit that level kinda go a bit beyond but in their preferred area. So some non-trivial proportion will also have measure theory

But not enough to say okay we can just consider measure theory a topic all undergrads we admit are expected to know

Same for stuff like algebraic topology and smooth manifolds

So okay if you're an undergrad who's sorta made it to that level you should be able to read Lee with no trouble. But since not everyone does so a lot of the readers are grad students

[storm sleet]

We used a few GTMS in some undergrad courses where I'm at

Also, like Danimark said, what distinguishes undergrad from graduate is not a ton imo

Most "grad" books I've looked at are targeted towards grads or "advanced undergrads"

Like, if you have the dedication to learn something, and the resources to get the needed background, you can learn what you what (mostly)

Theres probably some counterexamples there, but honestly, when I want to learn something, I look for what people say are good references, grad or not, and if theres prereqs, I do more reading

[full linden]

@willow pecan Im about to order the introductory book you suggested. However I got acquainted with understanding analysis from abbott. Which one should I stick with? Abbott or Ross s Elementary Analysis?

[willow pecan]

Oh

They're both good

[marble solar]

Spivak

Calculus

[willow pecan]

Also you can find pdfs floating about

[marble solar]

Is my personal favorite

[willow pecan]

So don't order it unless you really want the physical copy

[full linden]

Spivak exercises take to much time. I think I will just study one one of this books for now and next semester take a rigorous analysis course

[marble solar]

that's why you get the solutions manual as well

🧠

[full linden]

Ahhh 😐

[marble solar]

Did you know that smooth brains are more aerodynamic

Gotta get speed

[full linden]

Study from pdf? 😐

Yeah I might cut my hair to get even more aerodynamics!

To get shiny as well, nice idea

[livid ermine]

Do anyone know what are the prerequisites for "Hodge Theory and Complex Algebraic Geometry" by Claire Voisin?

isnt it an introduction?

[willow pecan]

Do ignore mirza

[gray gazelle]

just kidding bro

[upbeat crater]

anyone can recommend me any cryptology book?

[gray gazelle]

what level ?

like amateur or ug or ??

[upbeat crater]

beginner to intermediate

ug level

will check it out

tyty

[gray gazelle]

silverman's book is also good

An introduction to mathematical cryptography by Jeffrey Hoffstein , Pipher and Silverman

is what i read

[upbeat crater]

anything that i can find a pdf of online?

[gray gazelle]

prolly

[upbeat crater]

o i found this one

[gray gazelle]

any relevant book is bound to be online (especially for ug level)

[upbeat crater]

oh

[warm glen]

has anyone used andrews' number theory book? i wanna know how it compares to burton or other standard elementary NT texts

[upbeat crater]

y u do dis

[gray gazelle]

Here is my biased political take : Burton is the worst nt textbook

"biased political take"

[warm glen]

what makes it so bad?

[marble solar]

I read a good chuck of this just knowing complex analysis and some basics of commutative algebra

I don't know if I got anything out of it

[upbeat crater]

also has anyone read this
https://elliespathtostatistics.files.wordpress.com/2018/03/abbott-second-edition.pdf

a friend recommended it to me

[livid ermine]

Why not?

[gray gazelle]

by andrew do you mean andrew andreescu or wiles ?

[marble solar]

Hrm, I think I just needed more familiarity with algebraic curves

I read it before I took algebraic curves, so I guess a lot of it fell flat on me

[warm glen]

george andrews

it's a dover book

[gray gazelle]

that is like one of the more popular analysis textbook as far as i am aware. It is a good book i would say.

[upbeat crater]

thanks

[livid ermine]

is aluffi enough background to read atiyah macdonald commutative algebra?

[tranquil ocean]

Yes

[gray gazelle]

nice pfp progression

and also nice book recommendation progression

[livid ermine]

thanks. louis wain has a lot of expressive cat drawings 😄

[upbeat crater]

do you sit here and give ppl fake recommendations all the time?

that's dedication

you really remind me of a celeb

with ur pfp

[dapper root]

Cringe celeb

Gotem

[upbeat crater]

his name was Sinero lutcher if i recall correctly

[dapper root]

Bruh

[upbeat crater]

[dapper root]

Did you really make some obscure reference to behavior of nonhuman primates

[upbeat crater]

gotchaa

[dapper root]

I don’t get the joke

Yeah I see that

Yeah

Oh

Well you didn’t recommend a fake book there

When you said Martin Schroeder you meant this right

A-M

Allan M

LMFAO

[upbeat crater]

lmaoo

[dapper root]

I thought it was some giga brain play because this has A-M

And also is a textbook on ducking monkeys

Idk I was super surprised

[dapper root]

Hence this

[upbeat crater]

not me being sad about not finding the book mirza made up online

[gray gazelle]

Mirza jokes are just jokes being bald

[upbeat crater]

bald jokes huh

what's wrong about being bald

are you a homophobe or what

[upbeat crater]

have y'all read digital fortress

from dan brown

i ain't the best at crypto but 70 pages in and i'm getting sick from all the inaccuracies

mans mistaking bits with bytes

[willow pecan]

Just think of it as entertainment

Dan Brown is not known for being smart

He's known for being a good author

[static crest]

I'd say he's more known as a controversial author

than a good author

[willow pecan]

Oh

Sure, perhaps

But the point is

He's more known for writing than he is scholarly work

[upbeat crater]

that's true, i rlly like the stories but damn that was just sad considering he says on the first page that he has worked with 2 ex-cryptographers from NSA to finish this book

[willow pecan]

Well

They are ex-crypto for a reason

[upbeat crater]

maybe i can work at NSA too

i even know what a byte is

[willow pecan]

[upbeat crater]

insane knowledge right

dan brown could never

there's a quora thread that's straight up dissing the book too

https://www.quora.com/Does-anything-like-Bergofsky-Principle-in-the-world-of-encryption-as-mentioned-in-Digital-Fortress-really-exist?share=1

[static crest]

quora

[willow pecan]

quora

[upbeat crater]

quora

[willow pecan]

I'm surprised there is something that isn't about sum of naturals = -1/12 and about how to get into Harvard

[upbeat crater]

we really made a quora thread huh

[upbeat crater]

i'm surprised they aren't cracking tree(3) bit keys with that bruteforce machine

ig they're referring mostly to how he's addressing religion in some of his books

which is usually seen as controversial

[willow pecan]

Dan Brown, is for all intensive purposes, a conspiracy theorist

[static crest]

because some of his books have heavy christian themes, that don't always paint christianity in a good light, and it makes some christians get their knickers in a twist

[upbeat crater]

he has a whole book built around the idea of christianity being a tool of oppression

[willow pecan]

Which tbh is not the most inaccurate idea

[upbeat crater]

true but still

u don't make a book about it and expect not to be called controversial

sorry about that, i'm sure you would enjoy reading Yuta Timberwood's writings though!

is this one bald enough @gray gazelle

the way he manages to portray holomorphic functions through his words is really unique though

he has an anal book

a really detailed one

with drawings and pictures

i'm gonna get banned for saying these 3sentences one after another

have you looked him up on the ECTH University website? He teaches there

he's not very known for his work

but he does deserve more appreciation

ok Yohan that dude probably doesn't exist

but

what kinda books are u looking for

[little furnace]

Book recommendations for basically everything you'll ever need to know about Single Variable Calculus?

[crimson hinge]

I think lecture notes of https://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/ are better than most Calc-1 books.

[little furnace]

Thanks!

[gray gazelle]

book recommendations for calc 2?

?

oh i see, thx lol

[crude iris]

Can I read gt from mathematical circles

I tried one other book on GT before but couldn't complete it due to my incompetence and lack of brainpower

I mean would it be an easy to understand and introduction level stuff

[tranquil ocean]

what do you mean by mathematical circles?

[crude iris]

It's a book

[tranquil ocean]

what do you mean by gt?

[crude iris]

Graph theory

Basically I need a really easy to understand introduction level graph theory book

[quick hornet]

i doubt it has a proper curriculum

i dont have access to it but the table of contents makes its coverage of graph theory look fairly meagre

[crude iris]

Ok

[crude iris]

Then would you like to suggest something like that

[quick hornet]

wait what the fuck it has an exercise that says "prove cantor-schroder-bernstein"

okay maybe i was underestimating this book lmao

[crude iris]

What is that

[gray gazelle]

based russians

[quick hornet]

still doesnt seem like a proper treatment of graphs though

although im afraid i dont have any recommendations

diestel is the gold standard but its not very approachable if you dont have proof experience

[tranquil ocean]

what are you trying to learn graph theory for?

[hearty steppe]

Voloshin or Chartrand and Zhang are good for intro.

@crude iris

Sort of reading them myself. I learned an ok chunk of GT from my second discrete maths class

Chartrand and Zhang also has a rather relatively good proofs book

Altho I am more partial to Velleman for a proofs course

[gray gazelle]

who on earth is trying to learn gt from circles

wtf

[hearty steppe]

The psets in Chartrand and Zhang might be a bit on the easy side, so perhaps take a good look at Voloshin too

[gray gazelle]

wint and linson

chad

[hearty steppe]

Who is that

@gray gazelle

[gray gazelle]

lint and wilson i meant lmao

ah

[gray gazelle]

for easier gt , bona does a good job .

so xi is an olympiad kid

xi

[hearty steppe]

I mean that’s a combinatorics book

[gray gazelle]

bet

[hearty steppe]

But I will take a good combo rec

[gray gazelle]

:kek:

np

but yeah i would say bona is prbably the easiest read (tho i am not sure uptil what level of gt you want) Vispi

@gray gazelle stop ghost pinging

i don't have texit pounce anymore

[hearty steppe]

I would say Voloshin is probably the best intro Graph Theory book If you want a little more depth with your intro

Chartrand and Zhang just seems a bit on the easy side but still nice

[crude iris]

So voloshin it is

[hearty steppe]

Yea actually juggle between that and Chartrand and Zhang. Chartrand and Zhang is very visual in a way I find appealing. The psets may not be that challenging tho compared to Voloshin

[crude iris]

Ok thanks a lot to all of you

[gray gazelle]

are you preparing for olympiad ?

[crude iris]

Not really

But kinda

I'm not too sure myself

[gray gazelle]

anyways , you better be sure

wait

leme give you a problem

[crude iris]

I want to prepare for Olympiad but I don't have enough time

Only 2 hour daily I can spare

[gray gazelle]

so what are you preparing for, vishpiu astra

[crude iris]

I'm preparing to be a math nerd and flex on my friends

And I like maths that's why

[gray gazelle]

ah

the first reason is a shitty reason

@crude iris try this. This is one of my favourite problems

lmao xi

2^(1000/20) ancestors

[gray gazelle]

shut , don't spoil

i am just saying

ye

i love that book

[crude iris]

What is the question though

[gray gazelle]

the question is to prove that statement

[upbeat crater]

trueee

[wooden sparrow]

do that and you will have no friends

[upbeat crater]

not because they'll get mad and leave

but because once u start being rlly nerdy

you won't have friends by definition

[crude iris]

||assuming the generation gap to be about 25 years the number of generations in 1000 years is 40 and because everyone has two parents then there would be 2^40 ancestors which is about 1 trillion but the number of total humans ever lived is less than that so there must be some common ancestors||

[gray gazelle]

sus

but yes correct

ez

[crude iris]

Lmao I get it I won't be a nerd

[upbeat crater]

not saying it;s a bad thing

embrace the nerd

reject humanity

[tranquil ocean]

mathematics is an extremely social activity

[upbeat crater]

HEY

[crude iris]

Is it?

[upbeat crater]

if u go on many math servers and talk about it ye

[tranquil ocean]

collaboration is almost essential nowadays in math

[crude iris]

I donno in my school group learning is mostly discouraged

Maybe circumstances will be different in college

[gray gazelle]

hello yohan

📿

[upbeat crater]

[gray gazelle]

xi

lmao

true, true

there's one such guy in my class

no

it wasn;t me

not smart though, everything he knows is at a superficial level

yeah

he's cringe though

where you from

india

india where

madhya pradesh

oo

idk where that is

lol

lol

[gray gazelle]

i think there is that person in pretty much every school ,

one that claims to know a lot but is meh

there are multiple such people in my school

._.

the one i just talked about doesn't pretend to know a lot, but there's another one who does

lol

like he's kinda ridiculous

let me tell an anecdote about him in #chill

idk he mixes up a lot of stuff that aren't similar

[wooden sparrow]

🇽 doubt

[wooden sparrow]

india na

[gray gazelle]

what ?

[gray gazelle]

why are you doubting

[hearty steppe]

It is probably the best antisocial social activity for me

[wooden sparrow]

friends don't appreciate the proofs that I share

[gray gazelle]

I miss india

well you're an engineer, of course they won't appreciate them

[wooden sparrow]

why

[hearty steppe]

In Pre-Algebra no less

He’s got some serious flex

[gray gazelle]

friends...food....no need to walk anywhere..paradise

[wooden sparrow]

Which part of a city did you live in? I assume you are rich

[hasty turret]

You can buy Indian food

[gray gazelle]

i have been to india once , i miss the food though

[hasty turret]

You can also buy friends

[wooden sparrow]

just. go. to. an. indian. restaurant.

There's not much magic here to convince anyone to come

[gray gazelle]

it . is. fucking. costly. + the indian food we have here isn't the same

wrong channel everyone

sorry to minimod

[hasty turret]

There's always the holy river of dead people

It's called Ganges

[gray gazelle]

we need zoph the minimod here

[tranquil ocean]

I'm talking about research mathematics specifically

[wooden sparrow]

Okay I don't know then

[gray gazelle]

oh yeah another reason india is amazing

ganja is hella cheap

im thinking about studying there

[hasty turret]

That's objectively a bad idea

[prisma snow]

Depends on where they are from

India could be better than where they are

[gray gazelle]

i wanna study in israel

no cap

[gray gazelle]

why

[quick hornet]

damn i made that joke when i was 7

[gray gazelle]

idk , i just really feel like to go study there.

[hasty turret]

inb4 Israel isn't even pronounced is real

[gray gazelle]

wat does this even mean

[gray gazelle]

why's that?

[narrow talon]

Is Kadison and Ringrose still the book on operator theory?

[gray gazelle]

explain

[crimson hinge]

is such topic allowed here?

math book discussion

[gray gazelle]

israel is not rael

[crimson hinge]

#book-recommendations message
#book-recommendations message
I guess mods are too busy... but

Different people have different sensitivity to offence, and we try to establish a reasonable lowest common denominator, hence just because you didn’t intend to offend anyone or just because you didn’t find something offensive, doesn’t mean that the other person won’t. Whether you intend it or not, certain kinds of language can be hurtful to certain groups of people.

[gray gazelle]

chill

i asked for it

blame me , not them

[hasty turret]

#chill moment

[broken meadow]

this is not a good conversation for the server

[gray gazelle]

#book-recommendations

[cyan rapids]

[willow pecan]

[fast drum]

Can anyone suggest me good book on calculus for self learning

[karmic thorn]

Thomas'/Stewart for standard first course in calculus. Spivak if you want something more hardcore and is borderline analysis. Other than that, I think Khan Academy and Paul's Online Math Notes are both great resources for calculus.

[gray gazelle]

openstax

[karmic thorn]

I've heard OpenStax has a lot of errors?

Might be misremembering

[gray gazelle]

just crack open do carmo's riemannian geometry, it's basically calculus

[karmic thorn]

[gray gazelle]

doubt it since it is based on strang's own calculus book . maybe it has, so far i haven't encountered any

[karmic thorn]

I see.

[narrow talon]

Book question got buried by Israel memes

[gray gazelle]

lol

[vapid scroll]

any books for getting deeper into integration

[willow pecan]

How much do you know?

[vapid scroll]

calc in college

multivarite?

[willow pecan]

Ummm

[vapid scroll]

but even then im stil lacking

[willow pecan]

Well the next step is to first do real analysis

[vapid scroll]

so preferably something from HS and onward

im doing real analysis rn

[willow pecan]

Oh ok

[vapid scroll]

part 2

wait

i need to prove shiit?

[willow pecan]

Riemann integration stuff?

[vapid scroll]

yea

[willow pecan]

Yes

[vapid scroll]

ooh

ig i do

the last thing i remember going over

[willow pecan]

Ok and then after you do real analysis and Riemann integration you do measure theory and lebesgue integration

[vapid scroll]

was some theorem about uniform contunity implying you can switch limits and integrals

hm ok

[vapid scroll]

what did u recommend?

also

@willow pecan im learning these topics through classes at school atm

but we barely compute/talk about integrals

and when we do its always vaguely

[gray gazelle]

openstax but since you are in college already doing real analysis , i doubt you would need to read that

[willow pecan]

Oh

Ummm

One you get past multivariable calc

People stop caring about how to compute integrals

[vapid scroll]

wot

[dapper root]

Wut

[vapid scroll]

that doesnt seem right

[full linden]

Wut

[vapid scroll]

i remember posts on stack overflow

[gray gazelle]

What about complex analysis

[vapid scroll]

of people solving integrals using number theory

[dapper root]

Ange nG just computes integrals all the time for his research

[calm crane]

yea no one cares about how to compute integrals unless you happen to want to develop a software to compute integrals lol

[dapper root]

And u still compute integrals to do analysis

[calm crane]

i dont think the theory does develop much tho?

[full linden]

I was calculating expected value for a exponential distribution because I believed it was important?

[dapper root]

I mean the theory of integrals might not but we still need to compute them

And they can’t all be done via software

[willow pecan]

Yeah

Well

[vapid scroll]

like uh

[willow pecan]

I guess you get some techniques in complex analysis

But

[vapid scroll]

there are a ocuple of stack overflow posts

[willow pecan]

No one cares about weird looking integrals on MSE

It's all memes

[calm crane]

yea that's the only addition

otherwise it's same old memes

heh

[dapper root]

Bad takes

There’s a lot of stuff after a multi var calc thing you use

[static crest]

wdym, weird integrals on MSE is the height of math

[dapper root]

Elliptic integrals, differentiating under the integral, doing weird Taylor series stuff

There’s lots of methods u won’t use in calc class that ppl still use to compute these thingies

[willow pecan]

It's all contours

[dapper root]

Altho elliptic integral isn’t as much a computation as much as just

[calm crane]

arent these still like

[dapper root]

Heehee we dunno how to do this but it shows up so let’s call it a thingy we know

[willow pecan]

Also

[calm crane]

pretty usual techniques

[willow pecan]

Why compute integrals

[calm crane]

(at least physics-wise)

[willow pecan]

If Mathematica can compute them for you

[dapper root]

Sure but you don’t learn them in a physics class

Err

Calc

[calm crane]

you do i tot?

[dapper root]

No

[calm crane]

esp in electrodynamics

[hollow peak]

chmonkey is just ass at integration apparently

[willow pecan]

[calm crane]

tbf

just go do jacksons exercises

[dapper root]

@hollow peak 🖕

[gray gazelle]

jd jackson

[calm crane]

if witten can do it in like 2 months so can you

[vapid scroll]

so integration is a meme

is what im hearing

which i can understand to an extent

[dapper root]

Don’t listen to them

[vapid scroll]

i dont want to

its not like it changes my stance

[gray gazelle]

who told you integration is a meme btw ?

[calm crane]

me

[gray gazelle]

o

sorry

im out

[vapid scroll]

I want the ability to see integrals and see if they are solvable or not

[static crest]

who cares

[vapid scroll]

i do

[static crest]

other than mse memers

[willow pecan]

The Risch algorithm

[vapid scroll]

why are you studying math in first place

literallyno one cares

[calm crane]

masochistic but this

[vapid scroll]

bad argument tbh

[calm crane]

most of the time is kinda cuz

abc problem is interseting

[willow pecan]

I study applied math that people care about

[calm crane]

would like to poke it more

[willow pecan]

For example, designing artificial pancreases

[vapid scroll]

wait

why is indefinite integral of rational function rational?

[willow pecan]

It isn't

The indefinite integral of 1/x is log(x)

[calm crane]

lolz yea

[gray gazelle]

It’s not rational, it’s elementary

[gray gazelle]

cooool work (assuming you are not mmeing)

hi botnuke !

[willow pecan]

I am not

[gray gazelle]

Hey

[willow pecan]

It's elementary because of partial fraction decompositions

[gray gazelle]

sometimes it is. Of 1/1 is x/1 up to constant

[vapid scroll]

so indefinite integral of rational function is a rational function + logs/exponentials?

[gray gazelle]

no

[willow pecan]

You can probably get some inverse trig functions

[gray gazelle]

you can get multiplied and composed too etc.

Trig functions are exponentials

true

[hasty turret]

Yea,int of 1/(x^2+1) is arctan

[calm crane]

like really you can just partial frac it all the way into linear complex factors

[vapid scroll]

is arctan not rational?

i thought it was some taylor polynomial to infinity

[calm crane]

uhhh

UHHH

UHHHH

very big issue here

[vapid scroll]

whats the big issue

[calm crane]

most sufficiently nice functions

can be taylored

[willow pecan]

Not all taylor approximated functions are rational

In fact most aren't

[calm crane]

most taylor approximated functions arent

yea

[willow pecan]

A rational function is one that is the ratio of two polynomials

[vapid scroll]

infinite polynomials arent polynomials?

[calm crane]

uhh no

they arent

[willow pecan]

Infinite polynomials are not polynomials

[calm crane]

otherwise many many more functions will be polynomials

e^x is now a polynomial

[vapid scroll]

so it has to have finite degree?

[willow pecan]

Yes

Polynomials have finite degree

[gray gazelle]

no

[calm crane]

many things in math you can only have finitely many of them

[gray gazelle]

0 is a polynomial and its degree is -infinity

[vapid scroll]

why call them infinite polynomials

[calm crane]

taking a limit usually doesnt make sense unless you have some sort of topologyish

[vapid scroll]

if they arent polynomials

[gray gazelle]

just call them power series, Marlin

[calm crane]

they are formal power series

[vapid scroll]

ok

[willow pecan]

Power series

[calm crane]

tho i too like k[x_1,x_2,...]

[vapid scroll]

so