book-recommendations

[dapper root]

That’s crazy it was only 17 bucks

I like the book tho

It tends to split people into two camps

[foggy relic]

yeah ikr, i was like mindblown when i saw it

[brittle breach]

why

[dapper root]

Some like it a lot, some hate it, I fall into the former

[foggy relic]

is it worth reading if I already know abstract algebra?

[dapper root]

I think it’s just useful to introduce the language early on, you’re starting new so why not phrase things that way

Depends

The stuff in the last two chapters is pretty good if you haven’t seen homological algebra before

[foggy relic]

Yeah I havent

[dapper root]

I like how he handles introducing Ext and Tor

[foggy relic]

I only know like the standard introductory group theory stuff

[dapper root]

And the last one introdues abelian categories

Yeah it should be fine

Some people say the exercises aren’t hard enough but like…

Idk if you buy a book just to use

Are you really going to be doing every exercise anyway?

[foggy relic]

i like to do at least 40%

or so

(unless its a spam problem book like stewart)

[dapper root]

Yeah I mean admittedly I haven’t done a ton of the exercises

But from the sections I did in the latter part

I think it did a good job

I just think it has a more refined treatment of the stuff in the sense that like

It doesn’t overload you with category theory

But it introduces it from the start so you get used to thinking in a bit more of a modern way

Which if you continue to do algebra, you inevitably have to learn to think in that way anyway

So I think it makes more sense to introduce it from the start at a level that doesn’t obscure stuff (you could totally do that if you BLAST them with category theory)

That way you don’t have to learn to translate stuff as you view it into a more kind of categorical thing

Some people seem to take issue with “oh it’s just confusing to introduce category theory from the start” but it starts off really soft, it doesn’t even define a functor for a while

It just hammers in the idea that categories exist, and stuff about universal properties which are a useful way to think about eg quotients

[foggy relic]

Your description makes the book seem very worthwhile to read 👍

[prime oak]

is tao analysis really that bad?

the hardcover is super cheap on amazon so i thought id pick it up lol

[gray gazelle]

no, I think it is not

[storm cipher]

There is a rigorous construction of R in the beginning

[stray veldt]

is that good or bad 🙈

[frosty girder]

from what i have heard so far, construction of R gets boring real fast

Apostol avoids it, so

[prime oak]

i was thinking of getting it to use alongside rudin or something maybe

[frosty girder]

i think tao isnt that good
there are very few problems (especially compared to other books) , its really wordy (not in a very good way, but also not too bad ig)

[prime oak]

i see

[frosty girder]

also, too much time is spent on the construction of reals and stuff, like i heard someone say sometime ago that the first 6 chapters of tao are done in a single chapter of rudin, which is true lol and the biggest problem for me, metric spaces are defined in the second book, the entirety of the first book doesnt use them

metric spaces imo make it much more fun to learn about continuity and stuff, and its not super nice to just not do them for the majority of the time

[gray gazelle]

are you speakng about terry tao's real analysis??

[frosty girder]

yes

analysis I

[karmic thorn]

I'm the canon authority on Tao's Analysis book since I've survived it

[frosty girder]

True

u managed to grind through all of it

[karmic thorn]

Here's my take: it's good to ease you into the subject but you have to feel comfortable discarding the extra baggage that is thrown at you, and moreover find another resource to supplement you with problems and "standard" definitions/constructions.

All this really pushes you to believe, why not pick a different book in the first place.

[frosty girder]

like apostol, or abbott

if u r feeling brave, even rudin

[karmic thorn]

It's pretty comprehensive, but the step-up is steep. The target audience according to the author is self-learners but the first chapter itself scales up on assumed mathematical maturity rapidly. I'd say it works fine if you can supplement it with some text on measure theory.

[lime sapphire]

thoughts on garling's "a course in mathematical analysis" ?

[ripe marten]

Hello, I'm a computer scientist, wanting to get into computer graphics as a specialization, What books would you guys recommend to get started for the base conceptial things like Linear Algebra, Calculus, and analytical geometry, I'm not a complete beginner, since I've studied them in University, but I wanna get into the deeper parts of it, anyone able to help?
From beginner to advanced

thanks in advance

[prime oak]

but have you considered
that it is the only affordable hardcover maths book i could buy to pretend i read mathematics

[scenic ether]

Hello! any book recos for the following? Thanks!
Stochastic Calculus
Stochastic Optimization

[gray gazelle]

There are books Listed in the books channel.

[karmic thorn]

Rudin is cheap as hell too

Not hardcover, but why'd a learner care much about that.

[gray gazelle]

I would recommend Werner Greub for Linear Algebra, Rudin for analysis (Though multiple textbooks can be used, like Apostol and Bartle), and SL Loney (both volumes) for analytical geometry @ripe marten

[prime oak]

they do sell those poorer quality editions for us here

[gray gazelle]

Internet Archive, you know about it?

[prime oak]

i already have it lol

[gray gazelle]

what do you have

[prime oak]

every book ive discussed here until now rudin, tao, a few other analysis books as pdfs

[gray gazelle]

PDF is illegal

Internet archive is legal

also better than pdfs in most cases

in page quality

[prime oak]

internet archive stores in pdfs

[gray gazelle]

Like borrow and read for free

[prime oak]

third world

[gray gazelle]

online borrowing

Though all sublibraries like Harvard University Library offer pdfs

[ripe marten]

which channel?

[marble solar]

So I can tell you the philosophy of Tao's Analysis volume 1 and 131AH in general

Go very slow, but very rigorous

After students develop their ability in proving things like "Addition in Z is commutative"

[frosty girder]

131AH?

[marble solar]

131AH is the course at UCLA that is "Honors Analysis", which terry tao used his lecture notes for

As a basis for the text

[frosty girder]

ahh

[frosty girder]

i see

i mean its not a bad book, but its not good alone

[marble solar]

After they built up their comfortability with rigor, do all of analysis at break neck speed

[frosty girder]

yeah i could sense that when i revisit it now

[marble solar]

because now you know what it means to do the foundational stuff rigorously

Almost no one at LA uses Analysis volume 1 & 2 by Tao for the text

In the honors section

Interestingly, it's very popular among the regular analysis instructors

[frosty girder]

[gray gazelle]

Book for ode

[jaunty plank]

https://qedscience.wordpress.com/2022/01/28/new-years-resolution-booklist-2022/
Just posted this on my blog. These aren't recommendations per se, but the books I currently have and plan to read for this year. Several of them are mathematical, and some might be of interest.

[gray jungle]

what do you guys think about william brown A 2nd course in LA

[cursive orbit]

Personally, I'm reading Teschl's free book on ODEs rn

[gray gazelle]

Thanks i will give it a try

[foggy relic]

New years resolution booklist is a great idea

Im gonna try that out also

(but for math books)

[jaunty plank]

let me know when you post it 🙂

[empty mortar]

@smoky zephyr second quantum found

[smoky zephyr]

yeah i noticed them a while ago

[jaunty plank]

hello again 🙂

[gray jungle]

looking for a LA reference book/s with a neat and sophisticated treatment for
1-bilinear and quadratic forms
2-inner product spaces

[brittle breach]

Halmos finite dimensional vector spaces

[gray jungle]

thats a bit too concise/lacking material for my taste

[gray gazelle]

#books-old

[sudden kindle]

So many bananas on this server

[fluid bay]

Linear algebra done wrong by Sergei treil

[soft drift]

more out of curiosity than for reading material, does anyone know of a real analysis book that starts with an axiomatic development of the real numbers and works backwards into PA?

[gray gazelle]

Werner Greub

sorry for ping

[fervent lava]

Any recommendation for combinatorics books.

[gray gazelle]

What do you mean by cat king

[gray gazelle]

Enumerative combinatorics by stanley, additive combinatorics by Tao.

[gray jungle]

just saying ty i skimmed throught and it looks alright but i settled for romans book

[lime sapphire]

whats PA

peano axioms?

[soft drift]

ya

[lime sapphire]

maybe have a look at garling

[young grail]

can anyone recommend lecture videos based on Rod Haggarty's Fundamentals of mathematic analysis

[wintry current]

Hello guys, I’m looking for ressources about Radon transform, something really theoritical and mathematical

[teal crater]

I was asking about an interpolation book some days ago but never got a reply. In case anyone else was looking for something of the sort, believe I found a good book by Mastroianni: "Interpolation processes".

Any opinions on Kreyszig's introductory functional analysis with applications? I am a CS PhD student mostly dealing with numerics, but I never had a formal course in functional analysis. So I thought it would be nice to read through a book on functional analysis at some point, since I am already using a lot of the results from there in one way or another to construct models and numerical approximations of those.

[brittle breach]

I have only read up to chapter, it was good and accessible without knowing measure theory,
I haven't done much functional analysis beyond that.
If you could say wither you have measure theory knowledge that could help someone else make their comment

[brisk ice]

Is Kenneth A. Ross. Elementary Analysis. The Theory of Calculus. good for an intro to real analysis course?

[teal crater]

I have no measure theory knowledge.

[brittle breach]

then it's probable the best book for what you want

[forest sleet]

I think it's more in-between calculus and real analysis, but it's good if you've never seen proofs before

but iirc it doesn't do metric spaces

so good for learning proofs and calculus on R, but isn't going to cover nearly as much as a real analysis course using e.g. baby Rudin

[smoky zephyr]

for anyone that has read book of proof, is the section on counting useful for the rest of the book?

if so what parts in the counting section are used

whoever responds ping me

[empty mortar]

make sure you get good at the function and relation stuff along with cardinality I feel like analysis would've been so much smoother if I knew formally what a function was and how cardinality worked before I went into the class

[dapper root]

I think for analysis understanding the difference between countable and uncountable is usually all that you'll need

at least on the basic level

[foggy relic]

How much do you know already?

Bona is a good book for a first course, and after that Stanley is great

[brittle latch]

has anyone used thriftbooks before? i dont trust the 16 dollar textbook so easily lol

[fervent lava]

I take a look at it.

Thanks.

[celest ermine]

Does anyone happen to have an intro to proofs book?

[smoky zephyr]

book of proof by richard hammack and how to prove it by daniel velleman are highly liked

[brisk ice]

not sure if it helps but these are the "chapters" that is shown on the syllabus

It looks like there is a second course they offer which talks about metric spaces

[empty mortar]

[empty mortar]

A separate course? Are you on a quarter system

[brisk ice]

semester

[empty mortar]

That would make sense if you are on one

Oh

Try this text:

[brisk ice]

They offer it as a 6 week course over the summer

[empty mortar]

I could never spell the authors' names

[brisk ice]

sounds rough

[empty mortar]

idk why they split it tbh

it should be taught together with the first one

[brisk ice]

Yeah Im not sure what exactly my uni is known for

But I would guess it isn't much

[empty mortar]

Huh

[smoky zephyr]

@celest ermine making sure you see this message

[brisk ice]

so I am not sure the quality of the classes or instructors

[empty mortar]

No I’m not implying that

[celest ermine]

Ah thank you

[brisk ice]

so what are you suggesting? The pacing is slow?

[empty mortar]

Yea

I looked through the textbook a bit

It’s wordier than I like

I guess the summer class is nice if you don't have plans for it anyways better than doing nothing

[brisk ice]

well it is also like that as a 15 week course. But I don't really have the prereqs anyways. Some reason they want calc3, discrete math, and linear algebra

[empty mortar]

Is discrete math your intro to proofs course

[forest sleet]

if you've done a proof based course before it's probably slow, but if it's a first proof based course it's probably a good pace

[empty mortar]

Or is linear algebra it

[brisk ice]

[empty mortar]

yea washingbear got what I'm trying to say across

[brisk ice]

They have a maths foundations course also

[empty mortar]

[brisk ice]

which isn't a prereq

so I don't know

[empty mortar]

is that like metalogic and whatnot

[brisk ice]

that defins me linear algebra and discrete

[forest sleet]

have you taken a proof based course before?

[brisk ice]

Nope

[empty mortar]

You're in good hands then lol enjoy the analysis class

[forest sleet]

yeah it should be a good book for learning proofs + intro to analysis

[brisk ice]

this is the foundations description

[empty mortar]

😵‍💫 looks like an intro to proofs class geared for prepping you for your analysis class lol

metric spaces, series, sequences, induction, & proofs

[brisk ice]

well we will have to see if I even get "consent of the instructor" seeing I have never officially taken calc 3 which is a prereq for some reason?

[empty mortar]

oh damn yea I hate that stuff hopefully they let you test out or something

[storm cipher]

OK guys i hope someone can help me out here is my question :

I need to find a book that deals with sound etc ...

can someone help me find one

[hasty saffron]

Can someone recomend me book that improve my math problem solving skills and vision

Like "how to solve it"

Or can someone tell me which is best book to learn math logic

[mental flare]

Hey, does anyone here knows a very good book of multivariable calculus for self study?

[gray gazelle]

Lang

[solid laurel]

Terence Tao - Solving Mathematical Problems

[hasty saffron]

Thank you @solid laurel

[teal crater]

what do you mean?

signal processing?

[teal crater]

I found Shiffrin's book fairly accessible

[mental flare]

This one?

[teal crater]

yes

it even covers differential forms

the book focuses mostly on practice and intuition

not too much on proofs, although there are proofs present

tries to related geometry, calculus and linear algebra instead of studying all in isolation

i.e. tries to give you a geometric intuition of the concepts

[mental flare]

Another one?

[teal crater]

Harder?

[fervent lava]

Probably calculus on manifolds by spivak.

[mental flare]

Another question, is mit open course ware good for this stuff?

[teal crater]

idk, books are typically faster to read than videos

the mit videos I have seen were good though

[mental flare]

I've also heard that "the calculus livesaver" is a good book

[teal crater]

sounds like stewart's calculus

I don't like overly verbose books

[mental flare]

Is this a good book?

[timber garnet]

yes

its actually the book my university recommends

[lime sapphire]

Inb4 you go to the same uni 👀

[keen blade]

okay so umm

which book do you guys prefer for

"Engineering" Mechanics

And don't tell me that's not math

[brittle breach]

Advanced calculus

[late plinth]

is grimaldi supposed to be super dense?

[timid plinth]

Anyone read alex's adventures in numberland

Not a text book btw

[gray gazelle]

That is not mathematics

Classical mechanics (the graduate portion) is mathematics

[gray gazelle]

The Book is Mathematical methods of Physics. There is another one by Goldstein of the name Classical Mechanics (Third edition is most improved).

I am sorry if that is not what you asked. Engineering Mechanics contains fluids and elasticity, if I am right. These topics are towards theoretical Physics and are covered in the well-known Course of Theoretical Physics by Lev Landau. If you want such books, then you can see the books listed at the bottom of the Wikipedia articles of these topics, or I can tell a few. Engineering mechanics is not mathematics, and I do not know about it, but someone may

[tawdry orbit]

Dooes anybody know any good online Real analysis lectures?

[keen blade]

umm k thanks

[marble grotto]

https://www.youtube.com/playlist?list=PL04BA7A9EB907EDAF

[tame plaza]

what do you think about this? Teach Yourself Algebra by P. Abbott & Hugh Neill

[vocal gull]

Hey guys, can anyone recommend a book on numerical methods which has a nice coverage of Newton's method?

[timber garnet]

do you mean Newton's formula for polynomial interpolation or Newton-Raphson for root approximation?

[brittle breach]

https://youtube.com/playlist?list=PLBh2i93oe2quABbNq4I_-hyjhW8eOdgrO

[gray gazelle]

Any good Linea algebra book(no axler ) that is rigurous and starts with vector spaces?

[vocal gull]

Newton-Raphson

[timber garnet]

you can try:

http://www.math.science.cmu.ac.th/docs/qNA2556/ref_na/Katkinson.pdf

http://www.ru.ac.bd/wp-content/uploads/sites/25/2019/03/205_08_Ralston_-PA-first-course-in-numerical-analysis.pdf

[vocal gull]

thanks!

[brittle breach]

Halmos

[gray gazelle]

Werner Greub third edition

[gray jungle]

ive taken a liking to steve romans book

[spiral olive]

Any book recommendations for calculus? Especially limits

[gray gazelle]

thank you

[gray gazelle]

You may try Calculus for dummies.

[spiral olive]

Ohk

[tawny copper]

what are good abstract algebra texts?

[normal sandal]

there's something in the pins for this

I think this is the message: #book-recommendations message

[tawny copper]

true, thanks

[tawdry orbit]

I know about that one. Its very hard to see what he's writing on the board.

[gray gazelle]

Could someone please recommend a good book for Analysis? For someone completely new.

[marble solar]

Whitaker & Watson

[gray gazelle]

Thanks

[marble solar]

yUh

Tell me how it goes

[sage python]

Uh

It has cool content in it but I don't think it's what I'd use as a standard analysis textbook compared to something like Rudin lmfao

[marble solar]

it's comprehensive lmao

And it starts at the beginning

I have a hard copy of whitaker & watson

[marble solar]

I wonder what a course through whitaker & watson would look like

[sage python]

iirc it was written before most things in analysis were phrased topologically tho

[marble solar]

There's a recent edition

That I think rephrases things

[grand thistle]

this isn't really a math book, but i'm looking for a good introductory book to classical mechanics, one at the level of about calc 1-2 and maybe some multivariable calc and linear algebra, but not so much that it completely relies on it since i think ill be doing calc 3 and LA around the same time as this

[marble solar]

I like Halliday & Resnick

[grand thistle]

alright thanks, about how much math do you reckon is needed to study it?

do you think it's a good idea to take it along with calc 3 and LA?

[marble solar]

yeah, you only need calc 2

but having calc 3 can help sometimes

I think there was one problem that required double integration

[grand thistle]

ah i see

[marble solar]

But if you can do heck & wreck

You'll know physics well

[grand thistle]

right

also where do you suggest going after completing those?

should i go straight into the undergrad level like taylor's classical mech or do you think i should work on my math a bit more?

[marble solar]

heck & wreck?

That'll take at least a year to get through

[grand thistle]

oh right. i shouldn't get ahead of myself

alright thanks

[analog pollen]

Taylor

or kleppner

[gray gazelle]

Can someone recommend something for Galois theory

I’m looking for something compact

I don’t mind if it’s awful to read

I’ve picked up a lot of this by osmosis

I’m looking for a text that can help organize this in my head basically

[grand thistle]

i looked through taylor, and i don't think im ready math wise

i see a lot of LA and multivariable calc

ill check out kleppner

hmm kleppner looks good

i think ill decide between h/r and kleppner

[fervent lava]

spivak

The only physics book I know of.

[grand thistle]

huh

ive never heard of spivak's physics

[fervent lava]

It’s called Physics for Mathematicians: Mechanics I

[foggy relic]

reviews seem meh

[rose comet]

Taylor

Or kleppner

Don't do hr

[grand thistle]

which one's harder?

im leaning towards kleppner rn

[rose comet]

Kleppner has harder problems. Taylor covers more ground

[grand thistle]

i heard it's good for a first/second exposure after like ap physics

ah isee

are they both about the same level math wise?

[rose comet]

Yes. Taylor introduces whatever extra math you'll need in later chapter himself

Kleppner only requires basic calc 1 and 2

[grand thistle]

ah right, i saw a chapter on calculus of variations and thought i wouldn't be ready for that

[grand thistle]

same for taylor?

[rose comet]

Yes

Even if you opt for Taylor I'd still recommend doing the problems from Kleppner

[grand thistle]

i think ill use both, i found pdfs and they look like they'll supplement each other well

alright thank you

[meager helm]

any recommendations on a PDE book

[sage python]

Evans is supposed to be the standard

[analog lava]

rip rich piana

[gray gazelle]

Morin

wonder why no one named it here

Morin is one of the hardest texts in CM

[gray gazelle]

Partial Differential Equations Jurgen Jost or Jeffrey Rauch

I really like the graduate texts in mathematics series

[grand thistle]

yeah i think morin might be too hard for me, it's going to be my first time learning actual physics

[gray gazelle]

no

oppositely

it is easier to understand than kleppner

take kleppner and morin both

or Thornton, Marrion (these are more physical books)

and at the end, this is not the classical mechanics of mathematics. Classical Mechanics of mathematics is covered in books like Goldstein and V.I. Arnold, both graduate books

[grand thistle]

hmm i guess ill choose between kleppner, taylor and morin

when the time comes, ill try them all and see which ones i like most

i heard morin and kleppner have really hard but insightful problems

[gray gazelle]

Is there a text which formalizes inequalities? For example, given a > b, then multiplication by eps < 0 gives us eps * a < 0 eps * b

Similarly, multiplication by 0 gives us 0 * a = 0 * b

I think a lot of real analysis texts only gloss over it a little bit

[cursive orbit]

Take a look at Tao's analysis text

[analog pollen]

if you know calc 1-2 you can start with taylor

then start learning calc 3

and everything will be fine

[gray gazelle]

Morin has hard problems, kleppner problems are intermediate at most. But lets end it here as I feel you might be getting uncomfortable with so many messages

[thorny spear]

hi, any good book for algebra? im a self-study student, i want to get good at pratice and theory

[livid ermine]

basic abstract algebra by Bhattacharya is pretty good imo

[thorny spear]

thank you

[marble solar]

At what level

[slim peak]

Brezis'

[meager helm]

Undergrad

[marble solar]

Yeah ok. It depends if you're in PDEs for the long haul

Walter Strauss' book is popular at the undergrad level

I'm a huge fan of Stein and Shakarchi's Fourier Analysis, but that's more of a long haul

Evans is the gold standard in the US for intro to PDEs, but it's only a few chapters that are amazing

[slim peak]

Undergrad is up to what year at uni ? 3rd or 4th ?

[marble solar]

usually four years

Starting at Calculus Anatole; by junior year people are taking analysis, topology, algebra

[slim peak]

Then Brezis/Evans should be okay for 3rd+ year student am I correct ?

[marble solar]

It's a stretch for most math majors

Unless they're the kind that really puts themselves for it

like some people don't take real analysis till 4th year

[hollow shore]

isn't real analysis taught in freshman year?

[slim peak]

What ? so late, then some people cannot do Applied Functional Analysis until mid or end of the 4th year ?

what a sad life

[marble solar]

No

Not usually

[dapper root]

It’s common not to touch functional analysis in undergrad I think

[marble solar]

Very uncommon

I mean some people do, and they're the kinds that take grad courses early

[dapper root]

Uncommon that you do

It kinda reads like you’re saying it’s uncommon that you don’t

[marble solar]

oh

[slim peak]

If Functional Analysis didnot shows up during the second semester of my 3rd year at uni, I might have probably stopped maths

[marble solar]

Very uncommon to take fcnl analysis in undergrad

in fact I got my MS without taking fcnl analysis

[slim peak]

I was so bored

[marble solar]

What did you take prior to that?

Just standard stuff?

[slim peak]

The way I did my post High School is specific to France, with Classe Prépa, you don't choose Lectures

during you have one big Lecture called 'Maths'

[marble solar]

what were the topics?

[dapper root]

Did you go to a Grandes Ecole?

[slim peak]

No I prefered to choose Maths, and I was not good enough to go at the ENS

[marble solar]

ENS looks wild

[dapper root]

Isn’t going to a prepa only required for the grandes ecoles?

[slim peak]

You can do what ever you want with Classes Prépa

[dapper root]

I thought the normal universities in France were pretty 💩 and easy to get into

[slim peak]

First year chapters

[dapper root]

At least that’s what I was told

[marble solar]

A lot of skill & drill

Seems like it wasn't deep in any one direction, just very broad anatole

[dapper root]

You really ought to see calculus before touching analysis

[slim peak]

The second year ends during April, so

[dapper root]

It isn’t strictly a pre requisite because you could do it without knowing calculus

[marble solar]

That's all over the place anatole

lol

[dapper root]

But I would liken it to trying to learn how to make like fancy restaurant food before learning to toast bread

You could but like you really shouldn’t

[novel obsidian]

calculus is for the weak

[slim peak]

Not in Prepa generally the year ends at the end of June

[novel obsidian]

what's ENS?

[marble solar]

Ecole Normale Superieure

My spelling is bad, but it's a super fancy school or set of schools in France

That's very difficult to get into

[novel obsidian]

is there some english or american equivalent?

[marble solar]

Maybe like going to princeton for math

[novel obsidian]

gotcha

[gray gazelle]

Normal superior school

[slim peak]

Books about first year content is about to 900 to 1200 pages

Second year content 600 to 800 pages

depending the books you choose

[gray gazelle]

@slim peak mes etudes sont en franacais aussi, avez vous utiliser des resources qui sont pas francais ?

[marble solar]

Oh boy here we go

[sage python]

We're a non French resource!

[slim peak]

I know only few ressources that are not in French and those are essentially research books

sorry

[marble solar]

Does this discord count as a resource

[gray gazelle]

i see

[marble solar]

my thoughts as well

[gray gazelle]

@slim peakcan i dm you for french books cause it's not allowed here

[marble solar]

you can ask for french books here lmao

[novel obsidian]

we are an anti-french server

[gray gazelle]

coolest mathematician ? french

[marble solar]

Anatole

[slim peak]

Integration during the first year

is the real definition of Riemann integral

so god

it's harsh af

[slow zealot]

hi

does anyone have any books they would recommend for cryptography?

(looking for something introductory)

[crimson pagoda]

Does anyone have a book they would recommend for crypto? I want to make a billion dollars

[trim fable]

anyone have any recs for the philosophy of maths?

[gray gazelle]

George and Velleman philosophies of mathematics.
Frege foundations of arithmetic

[hearty steppe]

Is it better to think in Riemannian Geometric perspective when handling anything Riemann?

Consider Riemann Surface stuff for example

I can just keep interpolating the complex plane where we see many points of intersection for an arbitrary surface but they’re not actually intersecting? Maybe interpolate is the wrong word here

[trim fable]

thank you, what are the complexity levels for those books? im a beginner

[radiant pier]

Any precal/trig book recommendations? I want to start to relearn math

[cursive orbit]

I'd just run through KhanAcademy

[radiant pier]

Common core skips a lot of essential parts

I’ll do that

[gray gazelle]

Velleman goes over the main schools of thought and Frege is the start of it all

[trim fable]

thanks again 👍👍👍👍

[slow zealot]

Bertrand Russell

[surreal phoenix]

fellas I'm in a strong pickle

[odd spade]

as opposed to a weak pickle?

[glad prairie]

i'm a weak pickle 🥺

[gray gazelle]

do you guys recommend any books for me to use so that i can outdo my peers in math? i'm in 8th grade (so we're learning about algebra and geometry mostly) btw
also maybe any books for learning how to do arithmetic operations quickly?

[grand thistle]

why arithmetic operations?

[gray gazelle]

i suck at dividing and multiplying quickly

[grand thistle]

uh... being good at math isn't really about being like a human calculator

[grand thistle]

just search up like multiplication and division practice

or something

[gray gazelle]

alright thanks lol

[grand thistle]

also

if you wanna get ahead of ur friends

try using khan academy

honestly, the type of textbook you use doesn't matter too much for subjects like algebra 1 and geometry

just try looking ahead and trying things like algebra 2

[gray gazelle]

gotcha 👍

[brittle breach]

Learn modular arithmetic

If you haven't already

[gray gazelle]

i dont see how that would help for 8th grade math?

[smoky zephyr]

it won’t

[brittle breach]

Number theory

[gray gazelle]

thought so

[cursive orbit]

Number theory won't help for 8th grade math either

[fervent lava]

Learn about vectors "algebra" especially dot product.

[cursive orbit]

What's the point of trying to get ahead for the sake of trying to get ahead

[fervent lava]

For fun.

maybe.

[cursive orbit]

But still

There isn't much point if the purpose is to outdo your peers

[fervent lava]

yeah I agree.

[gray gazelle]

Even though Ecoles is very highly regarded, what about University of Sorbonne and University of Paris

[gray gazelle]

alright i picked up a book called "algebra for the practical man" apparently richard feynman learned his math from the series the book is in 👍

[gray gazelle]

IMO preparation
I seriously cannot say what has to be the beginner thing for IMO these days, but books and resources listed here are great

https://www.isical.ac.in/~rmo/resources.html

hereh

thank you 👍

four years are enough

[hearty steppe]

I’m thinking of learning some alg geo when I get to alg top

I dunno if there is an in between text anyone would recommend

I am making good progress in munkres chapter 1, I think

This is a really nice book

Also barely kinda started reading Brin and Stuck. That text is a beast

Lots of looking up some unfamiliar definitions at times

[gray gazelle]

is zorich's mathematical analysis I good prep for a second course in analysis?

[cyan prism]

don't worry about this at all, as long as you can do arithmetic relatively easily and accurately you don't need to practice it anymore in 8th grade

Focus on learning algebra and geo i guess

Cambridge textbooks are great

[cyan prism]

8th grade is probably too early for this

[cyan prism]

although on second thoughts they might not have textbooks based on your country's curriculum

But the content will probably not be too different

[gray gazelle]

gotcha

[gray gazelle]

👍

[gray gazelle]

College benefit

[lime sapphire]

You can look at a site called zetamac to help with that

[gray gazelle]

thank you!!

[lime sapphire]

np

[gray gazelle]

rec intro galois theory book pls tyty

dummit foote

any non boring recs

dummit foote

.<

[coral narwhal]

rotman

[cursive orbit]

If the primary purpose is to outdo your peers, you will eventually stop and they will catch up

[gray gazelle]

Primary purpose is to have benefit in college admissions, as seats in good colleges are few and people are many. Probably outdoing peers is not that good objective, and you end up doing it unintendedly if yhey are not very interested about the subject, or are only interested in the grades. So I agree

[prime cosmos]

I have asked about the quality of "How to prove it" in #proofs-and-logic
thanks

[hearty steppe]

Are you reading that right now? I have not even really gone through Pinter yet but I feel like I’m picking up most agebraic concepts on the fly right now

I am gona try to go thru Brin and Stuck more at some point

[modern stone]

Is Hoffman/Kunze a good linear algebra book?

[marble solar]

Yes

[modern stone]

how does it compare to other lin alg books?

like LADR and LADW

[marble solar]

It's more dated

I like H&K

🤷‍♂️

[modern stone]

Dated in what sense?

[marble solar]

It was written in the 1970s

or so

[smoky zephyr]

it’s over 60 years old

[dapper root]

Just like ur mum

Oooooooo

[lapis sundial]

roasted.

[shy compass]

old? or very dated?

[dapper root]

[hearty steppe]

@coral narwhal take a look at Brin and Stuck and tell me how you feel about it

With little effort I think I can work through it with the two groups I put together, I think

in fact I may not need much help going through the initial chapters maybe

yea I skimmed through a bit more of the first chapter. Its mostly pretty self contained, minus some easy definition look ups on agebraic terms

[potent plinth]

I recommend this book

https://www.nytimes.com/2010/04/11/books/review/Schillinger-t.html

It's called "The Solitude of Prime Numbers"

It is not a math theory book, it is not a physics book, it's just an amazing work of literature written by a physics teacher

[gray gazelle]

I have a book written by isaac newton

its called the mathematical principles of natural philosophy

[hearty steppe]

Newton knew a ton… of stuff I guess.

[restive falcon]

is Axler linalg as bad as people say it is

[fossil arch]

I’ve heard people really love and people really hate it

Impression I’ve gotten is don’t use it as a first course

A second pass or as a supplement

[sage python]

The exposition of Axler is decent

But he teaches you how to think of a lot of things in kind of a bad way

[restive falcon]

hm

what would be a good alternative

i started treil but don't really like it

[sage python]

He's against determinants because he doesn't like when linear algebra courses define the determinant of a matrix as "take a matrix beep boop bop get a number", and then prove claims of substance, such as that linear endomorphisms of C^n have eigenvalues, by saying oh char poly has a root

Because your intuition for why that's true is... bash some numbers out gg

This is a valid complaint, however the correct response is that you introduce the idea of multilinear and exterior algebra

The incorrect response is you hold off on determinants, and in the meantime define char poly by triangularizing a matrix over C and then taking the product of (t-diagonal)

And then at the end say "oh btw determinant is product of eigenvalues"

[restive falcon]

oh

[sage python]

That's an incredibly bad way of thinking about these ideas and I'm fairly certain the only reason Axler didn't barf in his mouth at the thought is because his work I think is more in the vein of functional analysis

[restive falcon]

ah

[sage python]

So exterior algebra just isn't that important, hell determinants aren't either

[restive falcon]

is there a linalg book that does this

[sage python]

His "Down with determinants" paper suggests the only crucial role they play is in proving change of variables formula in integration

Which is like bruhhhhhhhhhhh have you never heard of algebra??? Diffgeo? Computations?

I learned the material from a fairly old and oddly organized book, Hoffman and Kunze

[restive falcon]

oh

hm

[sage python]

Nowadays I think people like Friedberg-Insel-Spence

[restive falcon]

is that one book

or 3

[slim peak]

How can we define the determinant as something else than as an n-multilinear alternate form over an n dimensional vector space ?

I never learned other way to define it. I've only heard about formulas in 2 and 3 dimensional cases but it was a consequence of it

[sage python]

Alison: one book

[restive falcon]

thx

[hasty eagle]

Several Sloths

[slim peak]

This is a direct consequence of above statement

say the definition as a multilinear alternate form

[sage python]

Yeah they define the determinant this way and don't say the world multilinear

Or they define it in terms of the Laplace expansion, so induction on the dimension

Very common for non-proof-based linear algebra courses in the US

So Axler doesn't like that you teach det(A) = punch these numbers into your calculator

And then start proving theorems

[slim peak]

wow, this sounds really weird

[sage python]

But his solution is to avoid determinants in a way that's conceptually quite bad and which is veeery specific to R and C

And then define determinants at the end as "product of eigenvalues with multiplicity over C"

[slim peak]

He is right there is a deep meaning about algebra and even geometrical stuff intrinsically involved

[slim peak]

This cannot generalize to finite fields based vector spaceit's stupid

[sage python]

Not in a reasonable way, perhaps you can always pass to the algebraic closure

[slim peak]

Such an heavy way

It requires much more time to get to algebraic closure, than to just explain what multilinear means, and apply briefly the rank theorem

[sage python]

Yeah overall Axler does things in a way that's very specific to R and C

He also doesn't really clarify much the difference between polynomials and polynomial functions

[dapper root]

Same thing when k is infinite

[solemn rover]

Not only are all fields infinite, they are of characteristic 0

[gray gazelle]

any good, fast and thoroughly explaining linear algebra book to read after some abstract algebra?

Linear algebra done right Is a good book

What?

@gray gazelle doesn't artin do LA while also teaching AA

He wants a book on linear algebra doesnt he

@gray gazelle a lot of people here don't like LADR

Come on!!!

it is a good book for me

[gray gazelle]

does it require excessive prior knowledge of groups/rings/fields? what about the other book? @gray gazelle

also which one explains better (coz im dumb)

Ok

[gray gazelle]

ok?

I will look for another book

aight thx

Introduction to linear algebra by gilbert strang

thx I'll try some of the options to see which one works best for me

[gray gazelle]

What is that for?

Ded chat

[grand thistle]

i think maybe he was looking for a less computational based book idk

axler is more conceptual from what ive heard

[gray gazelle]

Oh right.

[fervent lava]

I think you mean LADR.

[grand thistle]

hows LADW?

is it harder than LADR

and how computational is it, like in between LADR and strang?

[gray gazelle]

Yeah my bad

[fervent lava]

It has more computation exercises along with proofs ones than ladr. As for if it harder I think that depends on the person.

[gray gazelle]

Yeah halwa does make a point

[fervent lava]

It equivalent to Tao notes, it still rigorous.

[grand thistle]

hmm i see, do you think it would be necessary to go through LA again after completing apostol's calculus vol.1 and 2? they cover linear algebra but idk if its enough in depth or whether its too surface level

this is what it covers in vol 1

and this is volume 2

[fervent lava]

Not sure sorry.

For me I am studying LA first properly then multivariable later.

[grand thistle]

right, no problem, ill work it off by just how it feels like if i feel like i need more practice in one area ig ill just use other supplementary textbooks like strang or LADR/LADW

[gray gazelle]

@grand thistle there is also the OCW lectures taught by strang

[grand thistle]

yeah i know

i just like apostol's style of teaching and wondering whether if it's enough for at least an introductory knowledge of LA

[fervent lava]

Halwa I feel like I have seen your name before. Were you ever in a computer graphics server?

[gray gazelle]

Nope

[fervent lava]

Hmm weird.

[gray gazelle]

Do you know any complex analysis book like the one written by Ahlfors but with less level of difficulty?

[heady ember]

I heard Visual Comolex Analysis by Tristan Needham is a good book for complex analysis, with geometric proofs, so you can try it out i guess

[gray gazelle]

Thanks, I'll get it

[fossil arch]

It doesn’t directly answer your question but one of our moderators wrote a great writeup on CA books

#book-recommendations message

[gray gazelle]

Oh, I'll look at it, thanks

[fossil arch]

It’s in pins as well

[gray gazelle]

Looool, this is what I wanted

Thanks a lot

[fossil arch]

Anytime :)

[gray gazelle]

In the CS degree I was studying, they taught me complex analysis very bad and I always wanted to learn it better

[fossil arch]

Same but for engineering

Just don’t have the time right now

[odd spade]

these are advanced complex analysis books it looks like, which isnt bad

it just may be more rigorous than what was taught in CS/engineering

i suggest stein and shakarchi

https://www.ma.imperial.ac.uk/~dturaev/churchill1.pdf

this is a good undergrad book that can help bridge to something like stein and shakarchi

(i took both an undergrad class designed to include engineers/physics and the advanced complex analysis class)

they cover the same thing but stein and shakarchi has harder, more structured problems

[sage python]

@gray gazelle so as for a recommendation that's tailored to your case somewhat

[gray gazelle]

[sage python]

Artin's algebra book does linear algebra along with algebra

So that's the first thing that comes to mind

The books people suggested required literally no algebra lmao

Have you had intro to LA already?

[gray gazelle]

yea... it was a long time ago tho

intro to LA is simple stuff tho

I might just need a little refreshing and I'm good, nothing to worry about

[sage python]

Try Advanced Linear Algebra by Roman

[gray gazelle]

is it well suited for self study?

(and for dumb ppl like me)

also I was looking at Lax's book, idk how good it is tho

[sage python]

I get the vibe it's well written, though I didn't use it myself since I took a very certain path

[gray gazelle]

I'll give it a try, thx

I don't need any book about it, but do u know any book about several variables integration that starts presenting the Lebesgue integral using a little bit of measure theory?

[tawny copper]

Lectures or something I can listen to about (abstract) algebra?

[marble solar]

Benedict Gross has his algebra lectures on youtube

[halcyon hornet]

Pin #books in this channel lmao.

Most doubts will be solved.

[primal summit]

the entire point of the prototype channel is to gather reviews to revise the old #books-old channel, which, by the way exists and still most people seem to ignore

[gray gazelle]

what would be a good book for this?

• Quotient topology, continuous maps on quotients, adjunction spaces. Group actions and orbit spaces. Projective spaces.
• Brouwer's fixed point theorem, the Jordan curve theorem, Brouwer's invariance of domain theorem.
• Topological manifolds constructions of manifolds. Polyhedral surfaces, Euler characteristic. Classification of closed surfaces.
• Simplicial complexes and polyhedra.

[tawny copper]

Will check them out. Thank you

[cursive orbit]

There's a set by Professor McCauley as well

[eager stump]

Does anyone know any good reference for proofs by mutual induction? I've taken a course in proofs but haven't covered this and now I'm reading a text that uses it a lot

[smoky zephyr]

book of proof by richard hammack and how to prove it by daniel velleman cover it

book of proof has about 20 pages on it, how to prove it has about 50 pages on it

oh darn

i read it wrong

idk what mutual induction is lol

[eager stump]

Lol

Yes I have hammack

[eager stump]

Yes I thought to myself

[sturdy sail]

Do you guys know any standard references on orbifolds?

[golden creek]

Hey guys is titu Andreescu good for olympiad

[tawny copper]

thanks

[hearty steppe]

I sorta started reading Brin and Stuck. It talks about orbits, so I mean... that might be a good first place to look.

[brittle latch]

besides munkres, anyone got topology recommendations

[flint forge]

For point set?

Or otherwise?

[brittle latch]

ye

[flint forge]

Topology: A Categorical Approach and Janich's book are both fine

Munkres is pretty standard

[brittle latch]

only asking for alternatives cuz my library's copy is checked out

and my library has neither of those actually

[brittle latch]

sickest cover ive seen in a while

[dapper root]

What’s that say?

It looks like it should say

Introduction to general topology

[brittle latch]

yeah it does

[dapper root]

But to me it looks like

Introduction to generi topology

Like there’s only one letter after the r

[brittle latch]

[smoky zephyr]

[brittle latch]

hope ur talk went well btw!

[dapper root]

I think it did

[brittle latch]

sex time

it's 67 pages it's so cute

[gray gazelle]

Is there a good book that covers

• Quotient topology, continuous maps on quotients, adjunction spaces. Group actions and orbit spaces. Projective spaces.
• Brouwer's fixed point theorem, the Jordan curve theorem, Brouwer's invariance of domain theorem.
• Topological manifolds constructions of manifolds. Polyhedral surfaces, Euler characteristic. Classification of closed surfaces.
• Simplicial complexes and polyhedra.

[flint forge]

I do not think there is a book that covers all of these topics

It would have to be very long or very poorly written

(for example, quotient topology is at a much lower level than classification of closed surfaces and putting both in one book would be a lot)

[dapper root]

ITM has both

Or well, compact surfaces, I’m gonna assume that’s the same thing

I think ITM has most of these topics

[flint forge]

wow ITM is much larger in scope than I imagined

[dapper root]

Yeah there’s a lot in there

[brittle breach]

stephen willard general topology

[brittle breach]

what is an algebraic topology book for someone who is into algebraic topology?

[sturdy sail]

You want an algebraic topology book for people who are into algebraic topology?

That's a weird question lmao

I like Hatcher, Rotman and Peter May a lot

Although I'd say that, whereas Hacther and Rotman are good as a first-course reference, P. May's book is best suitable for a second course on algebraic topology.

Like

It goes over basic fundamental group,covering spaces, (simplical and singular) homology and cohomology stuff pretty fast.

And it tries to, instead, introduce the reader to more modern approaches to algebraic topology, going voer homotopy theory and a bit of spectral sequences.

[hearty steppe]

Huh where did you get this?

[brittle latch]

my library

hidden in some corner

[gray gazelle]

Hi guys

Do you know any book about epipolar geometry?

[brittle breach]

what is good for an absolute beginner

[dapper root]

Rotman

[sturdy sail]

^

[gray gazelle]

.

[sturdy sail]

Hatcher is also a pretty good and standard intro to algebraic topology. Although it is a bit handwavy in some parts and relies a lot more on pictures.

I mean

It is definitely rigorous

But if you are not that much into arguments using pictures and so on.

Rotman may be a better choice.

[brittle breach]

are Rotman arguments pictorial, in that you can draw a picture from it.

[graceful phoenix]

i think hatcher is very geometric, and rotman is rather algebraic

[graceful phoenix]

may's concise is not something for beginners tho, or does he have something else on algtop?

[brittle breach]

how much algebra are topology do I need

[graceful phoenix]

depends on how far you want to go

hatcher develops most of it on the go

if you're comfortable with (abelian) groups and the related lingo you should be fine

also doesnt hurt to have seen basic point set topology first

[toxic pawn]

Guys can you recommend some algebra books

[graceful phoenix]

what level of algebra are you thinking of

[sturdy sail]

Yeah, I emphasized that lol

[graceful phoenix]

oh sorry should have read further

[sturdy sail]

.

[sturdy sail]

It is fine!

[sturdy sail]

Having read both books, I definitely agree with that.

[graceful phoenix]

oof why would you read both

[toxic pawn]

I want to review for college admission, I'm not really sure where to start

[sturdy sail]

Idk

[graceful phoenix]

i rarely find the time to properly work through a single book

[sturdy sail]

Like

I read Hatcher first

Then wanted to complement some of my knowledge with Rotman

But I went over Rotman way quicker tho

I skimmed a few parts I felt I already knew pretty well.

[graceful phoenix]

yeah ok that makes sense

[sturdy sail]

For introductory algebraic topology you definitely need to know a good amount of group theory (at the level of Dummit and Foote or Artin), linear algebra and some knowledge of rings and modules (at least to the point where you know what a tensor product of modules over a commutative ring is)

The point-set topology you need to know is rather minimal I guess too

Like

[toxic pawn]

@sturdy sail where do you think is the best to start algebra?

[sturdy sail]

Knowing what a topological space is, continuous functions and some of its properties, closed sets, connectedness, compactness, path connectedness, knowing about quotient spaces, knowing a few separation axioms (Hausdorff and Normal axioms).

And I guess that would do it ?

What do you guys think?

At least those would be the minimal pre requisites to start studying a bit of alg topology.

[sturdy sail]

Like, HS algebra?

[toxic pawn]

Yeah

[sturdy sail]

Oh

Khan Academy

It is really good

[toxic pawn]

I did try khan academy but where do i start algebra basics or pre algebra?

[sturdy sail]

They have courses on that.

[toxic pawn]

I did not really pay attention to my class back in high school and now i regret it so much

So what do you think? Should i start on pre algebra?

[cursive orbit]

take a placement test

[toxic pawn]

How?

[cursive orbit]

for pre-algebra

that should let you determine whether you should start with it or not

[toxic pawn]

Oohhh thanks a lot

[gray gazelle]

Seems like an intresting book

[gray gazelle]

Can anyone spare me a digital copy of Smith (EMEA), Calculus: Early Transcendental Functions, 5th Edition? Do refrain from pirating it as that's against the rules; I'm just asking because I need to familiarise myself with its format, and the course that references this book doesn't even provide it... I'm aware I could use Thomas' Calculus in SI Units but I'm a sucker for following the exact path provided by the course when it comes to academics; PTSD from certain "events" that I'm sure many of you are familiar with 😅

All in all, thanks a lot even if you can't provide one. Do inform me if it is against the rules to ask for a copy of this, <@&268886789983436800> , since the legal aspect of it is sort of vague to me and I'd like to keep myself and others away from trouble.

[worldly basalt]

I absolutely would not advise you to visit libgen and get a copy from there

Since it's not legal to do so

[foggy relic]

Libgen is very illegal but is surprisingly a secure and safe site which will 99.99% not get you in trouble

[covert shadow]

Does anyone have any recommendations for game theory / decision making books?

Hopefully something quite accessible and easy to self teach. I have some basic linear alg, real analysis, calc, probability background if that helps

or even online resources to learn it

[gray gazelle]

Your advice I shall heed. That said, I guess it was a bit far-fetched of me to expect people to conveniently hold a copy, let alone wanting to share it lmao

Sorry for the unnecessary message xD

[modern stone]

Other than Euclid’s Elements, are there any other good, more modern books that teach Euclidean Geometry?

[brittle breach]

Hartshorne

[modern stone]

Lol

[stray veldt]

he actually has a book on projective geometry, which you can kinda think of an extension to euclidean geometry

[marble solar]

Are you talking about Euclid and beyond?

[stray veldt]

actually Foundations of Projective Geometry, hartshorne wrote more books than i thought

[fervent lava]

John lee(same guy known for differential geometry book) has a Euclidean geometry book.

[modern stone]

I’ll take a look

[fervent lava]

It called axiomatic geometry or something.

[modern stone]

ye

[fathom elk]

Is Derek Goldrei good? I am finding that the wording in his book Propositional and Predicate Calculus is kind of poor, but I am learning proofs pretty well.

[brittle breach]

yeah

[marble solar]

No he was talking about a different book

"Foundations of Proj. Geometry"

[gray gazelle]

For someone who understands nothing of mathematics, below an arithmetic level but is an adult what would be a good starting book?

[flint forge]

honestly kan academy is a solid rec up through calculus

I don't think theres anything quite like it

[gray gazelle]

It's very slow though.

It feels like it's meant for children because it is. I'm more looking for maybe to start with discrete mathematics?

[flint forge]

that would be solidly above the arithmetic level

but you can just do khan academy faster

either by skipping or watching sped up videos

or both

[gray gazelle]

Okay I'll try that thank you I suppose.

[frosty girder]

It will be nice, coz even if its slow, its explaining stuff super nicely

[gray gazelle]

I feel like I could just whip through it with an adult refresher though, the concepts seem very simple with arithmetic.

[frosty girder]

[gray gazelle]

Why would discrete mathematics be a bad option?

[gray gazelle]

Well not only is it above it's separate yes?

[flint forge]

Separate from arithmetic does not really exist?

Like it’s a prereq for doing basically any math at all

[gray gazelle]

Yes? Why would be going into discrete mathematics be a bad decision first?

[gray gazelle]

is hard

[flint forge]

You need to be able to do arithmetic to do be able to do discrete math

[gray gazelle]

Hard as in what? formal logic hard?

maxj has good advice

[flint forge]

It is like telling me you cannot walk but that you want to run a 5K next week

It’s not the hardest thing

But still

[gray gazelle]

a lot of things can be unintuitive also

I'm just not sure I understand why it's hard.

If you have the right mindset it shouldnt be an issue. But a common problem people have are with sections about combinatoric because a lot of it can seem unintuitive. And you need to justify your reasoning for solutions more often than in arithmetic

[gray gazelle]

Okay that sounds fine.

☺️

If it's anything like formal logic I'll be fine.

[flint forge]

Okay wait

[gray gazelle]

What?

[flint forge]

I’m so confused

You said you were “below arithmetic”

There is no way you are ready for discrete math lol

[gray gazelle]

I'm not sure I understand.

[frosty girder]

What do u mean by arithmetic

[flint forge]

Discrete math involves arithmetic

A lot of it

Like do you have trouble with stuff like multiplying fractions and stuff?

[gray gazelle]

No. The thing is that to function in society you have to have an understanding of arithmetic.

But my understanding of it is incomplete because I never got formal training in it.

[flint forge]

Did you not attend like

High school?

[gray gazelle]

No I was never in school.

[flint forge]

I see

[frosty girder]

Or any school for that matter

[frosty girder]

Ah

[gray gazelle]

Yes.

[flint forge]

You should probably start by brushing up on your actual basics

Before trying to do stuff that builds on those basics

[gray gazelle]

I'm in my 20s now though why is why I don't want to waste my time slowly going through something like khan academy.

[flint forge]

Then go through it quickly?

If you can’t go through it quickly you aren’t ready to move on

[gray gazelle]

You can't it's structured to slowly and carefully teach children basic maths.

[flint forge]

I assure you I could quickly go through khan academy

I even did do it

To prepare to teach this quarter

[frosty girder]

Same

well i did it to twach myself but yeaah

[gray gazelle]

You can add,subtract,multiply, factor, and balance equations, tell when an equation has no solutions?

Yes.

[flint forge]

Oh so you can do arithmetic

[gray gazelle]

You know what binomial theorem is?

No.

[flint forge]

That’s not that important

Compared to arithmetic lol

[gray gazelle]

Is that all it is?

You should look at algebra courses on Khan Academy

then afterwards you can move onto discrete math maybe?

[flint forge]

Arithmetic just concerns basic operations with like rational or real numbers

[gray gazelle]

https://www.youtube.com/watch?v=TMubSggUOVE Would something like this work for a refresher?

[flint forge]

Like it is most commonly taught in a child first few years in school

I don’t know

[gray gazelle]

What is your motivation for learning Mora?

[flint forge]

I am already very confused about your starting point lol

[gray gazelle]

I'm in my early 20s and want to go back to college for mechanical engineering which is very math heavy in learning.

[flint forge]

How quickly

[gray gazelle]

I'm not going until covid ends so who knows.

[flint forge]

I see

Well

[gray gazelle]

If that is the case do everything ok Khan Academy if you want to be very prepared. My mother is in her 40s and I gave her the same advice

Okay. I'll try to navigate that website and see what I can do for speeding through it.

[flint forge]

If you put in effort you could probably(?) go from where you are to precalculus in like a year

[gray gazelle]

Maybe they changed it a few years ago it would force you into doing every little assignment before you could go forward.

[flint forge]

Like khan academy really isn’t that slow

It’s built to match the pace of a high school course

[gray gazelle]

It is still worthwhile to do every detail at this stage

[gray gazelle]

Is that the extent of math that is taught in highschool?

[flint forge]

No

But it’s the minimum for a stem major in college

At least my recommended minimum

[gray gazelle]

Okay good to know.

Thank you I'll begin today.

☺️

[restive falcon]

what are the options for complex analysis

I've heard a bunch of different opinions on books

but not a comparison

[gray gazelle]

Self teaching or following along w a professor?

[restive falcon]

self teaching

[flint forge]

Shakarachi is good

conways is all right

Stein Shakarachi*

[restive falcon]

yeah

I've heard recommendations for stein shakarchi and marshall

by comparison i mean like

strengths and weaknesses

[gray gazelle]

Okay thank you.

[fathom elk]

Not really

[slim peak]

You have to remove the link

This is forbidden here

[gray gazelle]

What is it?

What was it?

[grand wren]

My bad, I removed it.

[grand wren]

A link to the pdf of the book

[restive falcon]

i got buried

[hollow peak]

there are a few

the good modern ones are imo marsden and hoffman, and stein and shakarchi

I tried using ahlfors when I was learning basic complex analysis and it's not the best book

stein and shakarchi is really the default choice, and I think people also really like conway

[dapper root]

You can try gamelin

[marble solar]

Marshall's better than all of those books

[marble solar]

Just skip straight to the derivatives

[dapper root]

I swear you were bought off

I think nobody on this server shills for any book as hard as you do for Marshall

[marble solar]

It's a legitimately great complex text

I was bought off by Garnett

[dapper root]

Lol

I feel like spivak also bought you off

[sage python]

Schlag > Marshall tbh

[marble solar]

Ok, Spivak's books are honestly great

[dapper root]

Schlag’s book is great if you already know all of complex analysis

[restive falcon]

ok i am overwhelmed with options
what does each one have over the others

[marble solar]

Marshall is just better

[sage python]

Actually read my ping

Alison

*pin

I have a pinned message in this channel where I describe them all

[restive falcon]

oh

sorry lmao

stein shakarchi seems like what i want

I'm kind of interested in fourier analysis

[gray gazelle]

Alisonnnm

[restive falcon]

yes

[restive falcon]

carlaaaaaa

[gray gazelle]

i wanna read stein shakarchi too

do you want to be super study buddies

[restive falcon]

I'm not up to it yet

still gotta finish real analysis

[restive falcon]

i will be once I'm ready

[gray gazelle]

ohh

wym finish real analysis?

is it a book or course

[foggy relic]

imagine being done with r analysis

[restive falcon]

book

[gray gazelle]

oh what author

[restive falcon]

pugh

[foggy relic]

pugh gang

[restive falcon]

Hugh Pugh the madlad