book-recommendations

[dusk wind]

try your best

[open birch]

thanks I hope I will reach my goal

[molten mason]

https://www.404ctf.fr/

DGSE seems to be the type of place to require either a university degree or lots of heavy experience in industry.

It'll take a few years to learn, but if you can attend an event like that, that would be a great direction

[vital bane]

so basically you wanna work at an intelligence agency in your country doing cybersecurity? I think getting a degree like a master's in cybersecurity and doing internships and building your CV is the first step

[dusk wind]

just go through your career

[open birch]

Okay

[dusk wind]

best thing you can do rn is get exceptionally good at networking (both, literally)

[open birch]

But I think I've seen some schools in france which give access to a 5 year contract after a bachelor but I don't really know if it's the DGSE or simply the french army

[molten mason]

Yes, DGSE does hire at schools. One step at a time, get accepted into a good uni, do well, and go from there. Once you're in university they have programs for people interested in cybersecurity like events, conferences, clubs, etc

[dusk wind]

secret cheat code, email companies and ask to intern for experience

[open birch]

Yes but I'm affraid of my email profile

Bc

I've done some videos with my friends which my name and all are mentionned

[dusk wind]

first step in cybersecurity

protect your own information

[open birch]

Yes but I was a kid

[dusk wind]

any serious business will pull that up and may possibly affect your candidacy

but this is offtopic

[molten mason]

So make a new email

[open birch]

i've try but it will be

First name. Last Name [e-mail]

I do'nt know if its possible to ask to youtube to delete these videos

[molten mason]

If its your own video, you can delete it. If someone else has that video, they can delete it.

If they won't delete it, well, that's life.

[open birch]

Its not my video

I'll ask

[molten mason]

Cybersecurity starts before you even know what Cybersecurity is

[dusk wind]

its probably not that bad I dont think they would care

even if they ask you could always explain

[open birch]

Okay

I will certainly write an email but first i need to upgrade my notes

[hybrid basin]

guys can you recommend a book for analysis 1?

[rustic grove]

rudin principles of mathematical analyssi

[remote sparrow]

#book-recommendations message

here you go boku no pico pfp

[sage python]

What you should use in analysis depends on your comfort with math. Some reviews:

• Schroder is one of the more gentle books (though eventually covers a superset of Rudin). If you don't have background in calculus or in any proof-based math, this is where to start.
• Spivak Calculus is proof-based, but the flow is more calculus-y (sequences/series come at the end + no topology, which imo is a bad thing). Well written and suitable for beginners, but makes iffy presentation choices, so imo Schroder is better at this level. Only does single variable
• Rudin chapter 1-8 are the standard. You want to have some calculus and proofs background going in. I learned a lot of my analysis from here (among other sources) and liked it, though in hindsight there are a few things I would change. Falls off starting from chapter 9, so you'll want something else for multivariable calc
• Browder is Rudin but somewhat reorganized (topology later measure theory earlier) and with less stupid multivariable calc
• Pugh is Rudin with better multi, but quite awkward at times imo
• People here like Tao, it's fairly leisurely and slowly builds up set theory and number systems before doing analysis proper. You may want some calculus background going in but it seems to serve as a good intro to proofs
• People also like Abbott. Seems to want some calc background going in, but is otherwise on the gentle side. Only does single variable

There are many others I know less about that have been talked about here and might be worth looking at in case they click, such as Amann-Escher and Zorich

[rustic grove]

I would say Kenneth Ross's elementary analysis is a good first one if you struggle. It was recommended by a lot of places and I read it with zero pure maths knowledge and found it ok.

[dusk wind]

That was def sour

but yea definitely do Abbot

[slender wasp]

What do ppl think of Apostol mathematical analysis for intro, instead of say Abbott or Pugh? Esp if one has done Apostol Calc I

[remote sparrow]

apostol is roughly comparable to rudin.

[earnest wolf]

hi 🙂

can someone please suggest a good practice oriented book on differential equations?

to get a good grade on my undergrad course

[molten mason]

If you've done his Calc book then definitely, go for it

[graceful moon]

I’m a fan of Tao it’s super easy to read and builds things up in a way that I find personally to be quite gentle and complete, plus I just tend to enjoy Taos exposition in any of his books that’s I’ve read

Ross is also decent, it was a recommended reference text for my first analysis class, I personally prefer Tao but I know a lot of people really Ross

[gray gazelle]

does basic mathematic the book cover linear algebra??

[molten mason]

It's a Pre-Calculus book, he has another book called Introdution to Linear Algebra and Linear Algebra

[gray gazelle]

do i need pre calculus and calculus 1 and 2 to program like physcs engine, simualtion etc..

[molten mason]

100%, and probably a text on differential equations.

[molten mason]

You'll need Calc 3 as well on top of that

I don't think you'll need a full math textbook, I'm sure there's applied texts or something out there, but you'll also need to learn about quaternions at some point

[gray gazelle]

dang

[gray gazelle]

is there any ai to help me with this im 134

13

[heady ember]

[gray gazelle]

i found one

btu im still gon learn math

[molten mason]

Good luck

[gray gazelle]

Don’t use ai, just read a book/notes and do the exercises

[dusk wind]

definitely use AI, descartes would be enamored by it

[gray gazelle]

tysm

[gray gazelle]

can i use ai to make the base of the code and then like lok for error and method i can put in it to make it better because ai is bad so if i put my own thinking it might work?

[gray gazelle]

?

It’ll be a better learning experience to work through the whole thing yourself

[gray gazelle]

yes so what i did i said tot he ai to do the math part and then i do the coding part

[molten mason]

AI is a tool, not a shortcut, you have to actually know what you're doing to fix the AI errors. All it does is speed up programming; it doesn't replace jt.

[gray gazelle]

yes

i just gonna use it for math

im*

I mean, you could do that, but I’d recommend just actually learning the relevant mathematics

[gray gazelle]

what are they?

u meant like calculus

algebra

linear algebra

etc...?

Calculus, Linear Algebra, Differential Equations, etc. You don’t need to learn them in maximal depth, rather in an adhoc manner, but you should know what the derivative & integral are, what a vector space is, what a differential equations is, etc

[gray gazelle]

okbut the calculus part im not sure

Why’s that?

[gray gazelle]

it gonna take me years

But Linear Algebra isn’t?

If you know basic algebra, you can learn calculus fairly quickly

[gray gazelle]

i dont know geometry nor algebra 2

[vital bane]

nah bro trust me you can easily learn it

I was failing math in 7 grade, but then I discovered math content online after that I started learning calculus in 10th grade

lots of good resources online

lots of good books as well

[gray gazelle]

im 8th grade

[vital bane]

you can learn algebra, trig and precalc

just check out khan academy

[gray gazelle]

this is all i need?

[vital bane]

yup

you can see the prereqs thing on the khan academy website itself

[molten mason]

It only takes years if you go through it in a class, one semester at a time.

You could learn the pre-calc in a month or two, and calc in a few months after that.

You could self-study and know Calc by Christmas

[gray gazelle]

alr

[dusk wind]

unlock your inner ramanujan

[gray gazelle]

lol

[gray gazelle]

can i do like the unit test and then if there is thing i dotn undestand i watch the vid or i should watch all of them?

[dusk wind]

get all the books here https://www.bravernewmath.com/

[mental ingot]

Any1 know any intermediate level topology books they can recommend

[dusk wind]

then make whatever you want

[vital bane]

I think you should watch them all since you're learning it for the first time

[vital bane]

munkres and lee are common

[mental ingot]

Yea I finished munkres

Was looking for a book that covered more stuff

[gray gazelle]

it not the first time

[vital bane]

more stuff as in? morw general topology? or do you want to study algebraic/differential top?

[vital bane]

then you can start with unit tests ig

[mental ingot]

More general abstract stuff

Wanna solidify it b4 I tackle alg top

[vital bane]

munkres covers all the more general abstract stuff what topics have you studied so far?

[gray gazelle]

but i didnt wtch all of them

[mental ingot]

Most of thr basic stuffs, topologies, spaces, metrics, compactness, applications to graph theory

You reckon munkres is enough to start alg topo?

[vital bane]

what about quotient spaces and stuff?

[mental ingot]

Yep that too

[vital bane]

wait which munkres are you talking about btw, because iirc he has two books "topology" and "topology a first course"

im talking about the former

[mental ingot]

First course

I think

[molten mason]

I just got a discord highlight notification on my phone

"Your friends are talking about topology in Mathematics #book-recommendations"

Thanks Discord

[mental ingot]

How are the 2 different

The one that has a bunch of graph theory is the one I did

[vital bane]

"topology" by munkres covers some alg top in the 2nd part after covering more "general abstract stuff"

[mental ingot]

Hm I'll check it out

Any good alg top books?

[gray gazelle]

ima be honest it because im lazy

[vital bane]

💀 we all are naturally, but you gotta fight that laziness my dude

[gray gazelle]

but there are so many unit withso many content

it gon take me month just for 1

[vital bane]

https://tenor.com/view/star-wars-yoda-patience-sw3-gif-21070142

[molten mason]

You're 13, it's not like you're 80 with 6 months to live.

There's people 10 years older than you who are learning calculus for the first time and are going to be great game developers in a few years

[gray gazelle]

18 unit

1 unit is only 2%

kinda discouraging

but im gonna go forward

i could try 1 unit per week

1 year

dang

BUT IT WORTH IT

@molten mason @vital bane ty i found inspiration and motivation

[vital bane]

yes bro 💪

you got this, keep grinding just a little every single day, you will make it

[molten mason]

I don't even have inspiration and motivation

[gray gazelle]

but what i do with physics then

[gray gazelle]

bro u already far away

what u wanna do lol

[dusk wind]

correcting AI is a waste of time

[gray gazelle]

who knows rovfx

this server is way better then rovfx

mroe respectable people and kind people here

[gray gazelle]

exactly 99 unit needed

to have all i need

wait it 115 unit

29 month

3 years

i will be 16

is there books to be faster lol

@dusk wind

ik u know books

[dusk wind]

the link I sent earlier

you can also just not read and be a prodigy

[gray gazelle]

poopy pants

no such thing as natural born prodigy

[dusk wind]

who said that

[gray gazelle]

your mother

[gray gazelle]

yes

geniuses are amde

made

people who are genius got the right environment

when they are borned

but everyone can be at the same level if they make the effort to

[gray gazelle]

wdym

[dusk wind]

don't read

[gray gazelle]

why

basic mathematics sems good

renji you're not a main protagonist from an anime

[gray gazelle]

do you know a book that cover all alegbra, geometry and trigonometry?

https://www.abebooks.com/servlet/BookDetailsPL?bi=30895874605&searchurl=isbn%3D9780133101164%26n%3D100121503%26sortby%3D17&cm_sp=snippet-_-srp1-_-title1

is this good?

[dusk wind]

yea

[remote sparrow]

https://precalculus.axler.net/

this book is good too

[dusk wind]

Try precalculus made difficult though

its really short

[molten mason]

It is good

[gray gazelle]

but it doesnt go in depth and eeply in algebra 1 and 2 ,trigonometry and geometry

[gray gazelle]

but it doesnt go in depth and eeply in algebra 1 and 2 ,trigonometry and geometry

[molten mason]

@remote sparrow @dusk wind What are we, the three musketeers of pre-calc. A trinity of books

[molten mason]

Basic Mathematics covers all 4 of those topics

[gray gazelle]

but not deeply and in depth

[gray gazelle]

is it? @molten mason

[molten mason]

I'm curious, what do you define as deeply and in depth.

[gray gazelle]

like it talked abt every aspect of algebra 1 and 2 and trigonometry and geometry

like after reading this book i should be able to go straight to cal

@molten mason

[remote sparrow]

https://math.stackexchange.com/questions/4471390/books-for-upper-undergraduate-higher-level-real-analysis/4477782#4477782

i found a nice review of carothers

[gray gazelle]

https://www.youtube.com/watch?v=04MWqyhD61g&list=PLMcpDl1Pr-viA25VUkHNmcUkWx9usPgyb&index=1

[molten mason]

If you want to learn and study every aspect, you're right, that will take years. And it will require thousands of pages of text.

You can either study every single aspect and topic possible, or you can study and learn quickly. You can't have both.

Textbooks such as that one are designed to streamline the process and get you to a basic standard in order to progress in math. There is no one single textbook that will cover everything, that is why you get multiple textbooks, and you supplement with blogs, websites, and YouTube.

For example if you want a thorough understanding of trigonometry, you can visit https://mecmath.net/trig/Trigonometry.pdf
If you thought polynomial multiplication was too quick and you still have questions, you can visit Brian McLogan on YouTube and watch him go through some examples.

There's whole textbooks on geometry, like massive volumes.

There's tons of workbooks on Amazon for every level of math, you can find workbooks from Schaum's. There's Schaums Outline of Trigonometry and it has 600 trigonometry problems and explanations, there's also Schaum's 3000 Problems in Calculus and many more.

We're advising you the books that we have said tonight (None of us are wrong, they're all great texts) because we've been there, done that, and have progressed to a level of math past that. We know your level of math and your goal. We're not just picking books because we get paid for it, we're picking them because we know they're appropriate for you. The exact book you pick is a personal preference.

You want to learn Algebra 1, Algebra 2, Trigonometry, and Geometry. You want to one day learn Calculus. Lang's Basic Mathematics teaches those 4 subjects appropriately and is designed and written as a Pre-Calculus textbook. One of its main purpose IS to get you ready for Calculus immediately afterwards. It might not cover every single little thing about every sub-subject, if it were to do that it would be an extra 1000 pages.

[gray gazelle]

so i shoudl read basic mathematics and if i dont udnestand soem aspect i should go in depth but in other resources and thena fter i go to cal

[molten mason]

"Chapter 15 (Fourier series) can safely be skipped."

That was a solid review

[molten mason]

I have the undergrad and graduate analysis books by Lang, hope to be able to write a solid review about them one day. My school uses Folland, and I think I want to get Bass when it becomes time for grad school, at least just the PDF.

[molten mason]

Yes

[remote sparrow]

axler is good for measure theory too

[gray gazelle]

i found this: https://www.youtube.com/watch?v=04MWqyhD61g&list=PLMcpDl1Pr-viA25VUkHNmcUkWx9usPgyb&index=1

is it good should i watch this?

[molten mason]

100%

[dusk wind]

if I could do it all over I'd have just did more problems and use a short but witty text then do more abstract stuff

[gray gazelle]

dang im so happy now cuz i found a better way

[dusk wind]

you should grind out so many problems that school is boring

[gray gazelle]

why asbtract algebra

what is it for

[molten mason]

Yeah I like short and to-the-point textbooks and then I find problems and workbooks or something online to grind out.

Everyone's different, that's why there's a dozen textbooks in each subject.

I like Lang's writing style but my favorite quote about him is "Serge Lang never explains anything"

Which makes it an adventure.

[molten mason]

Yeah I've heard good things.

[gray gazelle]

what is the best book for linear and calculus

[molten mason]

Any of them. Get through pre-Calc first, then come back and ask

[gray gazelle]

okok

[gray gazelle]

How?

[grave heron]

Hi, im starting "Graphical Approach to Algebra & Trigonometry" book and want to refresh everything I skipped over in HS. Is this a good book that should cover it or is there a better one to do before it?

[molten mason]

https://link.springer.com/book/10.1007/978-3-030-26384-3

[molten mason]

If you already have the book, it's a fine book.

[grave heron]

What areas of math would be considered "before" it?

Looking ahead I see it has logarithms and quadratics, which I really wanted to repeat. But idk what else im missing.

[molten mason]

Pre-Algebra

https://openstax.org/details/books/prealgebra-2e

[grave heron]

Sweet, I must have spaced out during polynomials. Thanks. Rest Im quite sure Ive got already.

What are the prerequisites for Programmer's intro to Math?

[vast jackal]

any good beginners book for proof writing?

[remote sparrow]

#book-recommendations message

[graceful moon]

Liebecks introduction to pure mathematics is also quite an easy read and teaches proofs by giving a taste of various different areas of maths

[remote sparrow]

for people that have some prior experience with algebra, yeah

[remote sparrow]

https://math.stackexchange.com/questions/4740873/what-were-some-of-the-standard-calculus-books-meant-to-prepare-for-rudin-before

https://matheducators.stackexchange.com/questions/9728/when-did-us-mathematics-programs-start-failing-to-prepare-incoming-students-for

[vital bane]

Rudin PMA = worst pedagogical work ever

[remote sparrow]

no it was just linked in the first stackexchange link

[vital bane]

of course I'm not sullying you, I'm sullying the question

[remote sparrow]

https://www.ams.org/notices/201309/rnoti-p1179.pdf

[south talon]

Any book recommendations for conic sections, basically coordinate geometry? I find it difficult to visualise the figures and apply the formulae.

[remote sparrow]

https://www.reddit.com/r/math/comments/dhd648/how_deeply_should_a_beginning_early_grad_student/f3ncyp9/

found some comments on zorich

[vast jackal]

are these good for beginners like me?

[vast jackal]

ETH Zurich?

[acoustic cliff]

Rudin's chaps 1 through 8 really all that?

Most reviews I've read say that the rest of the book is straight up shit

[gusty wasp]

hi does anyone have any book recommendations for linear algebra? my school notes are pretty long winded and has a lot of unnecessary stuff

[dusk wind]

just read courant

[glossy zealot]

Isnt this abstract algebra?

[marsh ingot]

First chapters is about linear algebra

[glossy zealot]

Though I always laugh at the names

[glossy zealot]

Very interesting, like a quick review?

[marsh ingot]

My bad I confuse it with another book

[glossy zealot]

Not sure if any textbook is less winded than professor’s notes

[gusty wasp]

alrighty! thanks for the recommendation!

[glossy zealot]

Maybe you need to be more specific of what you are looking for and what the textbook of the course is

[gray gazelle]

Finite-Dimensional Vector Spaces by Halmos is another good one and has a free pdf online through springer

[glossy zealot]

That way people can suggest something suitable

[marsh ingot]

That book dont have linear algebra

I forgot the name of one for

[gray gazelle]

Artin?

I mean, he just reviews matrices 🤷‍♂️

[marsh ingot]

Nope, is another but in spanish

I dont have any reference in english

[glossy zealot]

#book-recommendations message this link has few linalg book review

[gusty wasp]

alright, ill check everything out. Thanks everyone! 😛

[slender cargo]

Axler Linear Algebra Done Right is a common book for more proof oriented linear algebra. I hear Gilbert Strang is good for more computational stuff

[slender cargo]

Everything in that list is for people who want a rigorous, proof oriented study of linear algebra, just fyi

[dusk wind]

#book-recommendations message

[foggy gorge]

Do you guys know any algebra book that approachs it with proofs

I want to understand why certain things works the way it does

[modern ruin]

what kind of algebra are you talking about

[foggy gorge]

Anything you see during precalculus

[modern ruin]

ah okay, tbqh i have never read a good precalculus book (or any book that covers precalculus material) but some people speak highly of Serge Lang's Basic Mathematics

[gray gazelle]

After algebra trigonometry and geometry should I learn linear algebra or pre cal

Bruh

lol

Isn’t precalc just algebra, trig, and geometry?

[gray gazelle]

Idk

Also, for linear, I’d recommend having some comfort with proofs

?

Wdym proof

Rigorous justification of theorems

So, for example, in geometry you learn the pythagorean theorem

A proof of that theorem is a justification of why it is true

Ok

Typically linear is a proof based course, so it’d probably be good to have some familiarity with them first

[unkempt gorge]

@gray gazelle check Khan Academy, it can at least help you find a reasonable curriculum/what to learn in order

[molten mason]

We went over this. That is pre-calc. It's covered in Basic Mathematics, and afterwards you learn Calc.

[molten mason]

What is the text? I'm interested.

[gray gazelle]

Of Fr? I didn’t knew precal was in it

[left falcon]

are there any books, or class notes that summarize calculus 1 to 3? like there needn't be all the details there just need to be enough so that I can be reminded that a certain concept exists

[vital bane]

Lol it only has like module theory, that too only in like the 10th chapter or something

[vital bane]

[marsh ingot]

Juan de Burgos Algebra Lineal y Geometria

[molten mason]

https://tutorial.math.lamar.edu/

[remote sparrow]

yes

[remote sparrow]

no, it's a book

[remote sparrow]

#book-recommendations message

[remote sparrow]

it's a dover book too

[left falcon]

thanks but it doesn't seem like a 'summary'

its more like a huge textbook

[dusk wind]

those are 2-3 semesters of content

you will need to read at least 1 textbook

[earnest wolf]

also, do you know if any 'structured' problem book?

at least by method

[molten mason]

They're rederence/study notes used to supplement 3 semesters of Calculus class.

He has multiple calculus cheat sheets, then you can click any section [notes] and he has a summary of what's important, for example I went in the other day to reviw Calc II -> Integrals Involving Quadratics to double check something.

What other type of summary are you looking for?

[left falcon]

what I meant was a book/note with just definitions and theorems, with no explanations examples

[molten mason]

Ah, interesting, if you do find it, let us know. I'll be super interested in seeing it

[molten mason]

I'm not saying I didn't find the PDF somewhere, but on Springer's website the ebook PDF is $45.

[gray gazelle]

Huh, I remembered it being available for free

[molten mason]

Oh idk, sorry.

I know there's that text I shared.

There's also Chris McMullen workbook ($12 on Amazon), I haven't used it but I used his Calculus workbooks.

Schaum's Outlines also has a workbook with 536 solved problems. ($21 on Amazon)

And I'm sure they have PDFs somewhere.

[remote sparrow]

well either way it's also available as a cheap dover

[unreal folio]

Guys
I've been hardly trying to find a peer-reviewed mathematics series books

Maybe like school's curriculum
So u know any good series?
(Not AoPS cz they're bloody costly)

Hello?

[earnest wolf]

Schaum's Outlines also has a workbook
Looks exactly like what I need. Thank you

[molten mason]

We all don't know everything. Give it time for someone who might know to check and respond, sometimes people respond hours later, if no one has an answer you can try again tonight or tomorrow.

[molten mason]

Cool, awesome!

[dusk wind]

Check a schools curriculum or reccs from MAA etc

[gray gazelle]

https://personal.math.ubc.ca/~cbm/aands/abramowitz_and_stegun.pdf

@left falcon @molten mason

[dusk wind]

otherwise yes you'll have to buy books or the quality of free ones

[molten mason]

That's like a Space Race era encyclopedia for engineers and what not.

Not a short summary of a calculus course.

[dusk wind]

lmao I can't

[gray gazelle]

ol

ol

lol

[dusk wind]

I think what they want is just a study sheet though, which wouldn't necessarily be a 'summary'

they're better off making their own sheet tbh

[molten mason]

Yeah Paul's notes is the only thing I can think of, it covers all 3 semesters, and it has like a one paragraph on each section

[dusk wind]

'too much to read' though

it has to be an infinitesimal portion of a page don'tcha know

[molten mason]

Which Paul's Notes also has lol

[unreal folio]

I'm so confused about what can I choose to study mathematics
Like what do I choose now khan or Openstax or Freecodecamp or... idk I'm lost
The problem is that I haven't studied math for a long time
So I don't know what to study or where to start
I'm feeling so lost

[dusk wind]

thats normal

[unreal folio]

Wdym

[dusk wind]

just pick 1 and get started, or https://bravernewmath.com

if you pick 1 thing to study you may feel less overwhelmed

[unreal folio]

Calculus as a starting point?
Bruh I'm fr f**ked up

[dusk wind]

theres multiple books there

maybe start with a precalculus book and do problems on khan academy

[unreal folio]

What about openstax
Idk many ppl say that they're not that good.

[dusk wind]

I wouldn't use them but they are free

the precalculus book on that page is only 200 pages for high school mathematics

its short enough that you can use it to figure out what else you might want to learn

[unreal folio]

I searched on Reddit
It also says that they're a piece of st

[dusk wind]

try this one https://amazon.com/Precalculus-Made-Difficult-Seth-Braver/dp/B0CCCLJ6YH

if you want a free book you can try http://www.wallace.ccfaculty.org/book/book.html or Yoshiwara

[molten mason]

There's no real bad or good book, 2 + 2 = 4, doesn't matter which book you use. But some texts/websites are better than others.

Just pick one, get into it, if it doesn't work out try another one.

[vast jackal]

oh

[rotund eagle]

I want to have pdf of ercegovac's intro todigital system's book
anyone knows where i can find it?

[remote sparrow]

i recently happened to hear about this book called Handbook of Practical and Automated Reasoning by john harrison. here is a review. i thought you might be interested in checking it out @lean pagoda.

[unreal folio]

Yeah that's true
But somehow I get distracted by all these resources
And So I start getting confused

[keen orbit]

is it the first the second or none of them

[rotund eagle]

The first one yes

Actually any would do

[dark berry]

Does anyone have a recommendation book about a trigonometry that provides a complete explanation of what trigonometry is and its ratios and what it has to do with right triangles, any books ?

[pine widget]

book by sl looney
really helped me a lot

[keen orbit]

@rotund eagle go to annas

[rotund eagle]

Where is it

[keen orbit]

type that on google

then go into the site

[rotund eagle]

Do I need onion for this?

[keen orbit]

??

[rotund eagle]

tor I mean

[keen orbit]

no

[rotund eagle]

I already searched on z lib, found nth

[keen orbit]

thats why i said go to anna's

bc i didnt find the book that you want on zlib but found it on anna's archive

[rotund eagle]

Alright, let me see

[keen orbit]

type this: Introduction to Digital Systems jaime moreno

[rotund eagle]

It asks me a bunch of verifications, one of the other links doesn't work in my area and I can't use vpn on phone cuz I am in train and it reduces speed a lot :(
If you can have the pdf downloaded, pls send me in dms. I am sorry for asking but that would be a big help 🙏

Don't worry @keen orbit
One of the links worked after some time
I got the book
Thanks ❤️

[keen orbit]

np sorry for being late to respond but i was off

[gray gazelle]

What's a good book to learn group theory?

Preferably not something too rigorous

[rustic grove]

discovering group theory or Groups and symmetry by Armstrong

[gray gazelle]

Thanks

[keen orbit]

#book-recommendations message this is a list you can check it too

[gray gazelle]

Thank you

[quiet wave]

Hi, bit of an odd request, what's an undergrad analysis book with good exposition and lots of proofs that aren't left as exercises?

I want something to just read without working through it for when my energy for doing exercises is spent but I still want to absorb some math.

I really enjoy Taos analysis for this, the exposition is great, but he leaves a lot of proofs as exercises which is great when I'm working through the book but not great when I'm just trying to read some pretty proofs.

[finite gale]

I think you're asking for a text that just isn't good for learning lol

Most analysis texts already have a good amount of proofs, or at least for the main theorems

But you need to have practice problems to ensure you actually learned the material

I mean I guess you can always look up a solution but that really is not a good habit to create for yourself

[dusk wind]

this is accurate

[molten mason]

I laughed out loud, hard.

[remote sparrow]

Most textbooks should require a student to do a bit of legwork, but Understanding Analysis by Stephen Abbott would suit you. Zorich proves pretty much everything in-depth, but his problems have a reputation for being significantly harder than average.

[heady juniper]

What does Lang’s Undergraduate Algebra cover? I can see the table of contents, but not exactly sure how that maps to courses.

He has a linear algebra book as well.

Does his Undergraduate Algebra book cover an intro Abstract Algebra? Any linear algebra? Both?

[remote sparrow]

https://matheducators.stackexchange.com/questions/19007/choice-of-textbook-for-an-undergraduate-abstract-algebra-course/

[molten mason]

I'm going through it right now, it's content of a first semester abstract algebra course.

[tired kestrel]

hello!
I hope i ain't piggybacking...
is there's a list for books that kinda covers a whole math undergrad curriculum... (I'm soon to be a math undergrad and I want to have a gist of what is laying ahead)

On a side note I looked over some 4chan's math charts but can't tell how legitimate they might be

any input is appreciated... and thanks in advance!

[narrow prairie]

4chans math charts are not legitimate

Especially the one that's posted at the top of /mg/

[tired kestrel]

so is there's something that could augment or fills the gaps per se ?!

[remote sparrow]

not sure about the 4chan math chart, but the 4chan /sci/ wiki seems to have pretty standard bibliographies

[tired kestrel]

could u pinpoint one in particular... (to make sure that we are on the same page)

[tired kestrel]

in other words just give me a link for reference

[remote sparrow]

i just did

click the blue word

[molten mason]

https://raw.githubusercontent.com/TalalAlrawajfeh/mathematics-roadmap/master/mathematics-roadmap.jpg

[tired kestrel]

that's amazing thanks

[tired kestrel]

and @remote sparrow @narrow prairie thanks for ur input guys so far... I'm open for suggestions still.....

[tired kestrel]

well okey... I did already... would you recommend anything on top (assuming that u have a first hand experience)

[molten mason]

What is your current math level, the highest math you've completed or are in right now.

[tired kestrel]

well I did up to a calculus 3 course if that counts... no proofs as of yet and some trivium (barely intro to logic)

except for those sloppy euclidean geometry proofs tho

(mostly of Oliver Byrne Book)

so the 1st 6 books of the whole "Elements"

I guess I know nothing

and I feel overwhelmed

I assume I lack a robust structure

[molten mason]

So your next steps would be a proofs book. Pick any of the four in that image I sent you, and look for Naive Set Theory by Halmos

Linear algebra, take a look here
#book-recommendations message

And then either differential equations if you want to go a more applied route.

Or real analysis/abstract algebra if you want to go more pure math route.

You' might end up taking all of those courses, this is just for right now as next steps.

Abstract Algebra:
#book-recommendations message

Real Analysis:
#book-recommendations message

That's enough reading for the rest of the year, after you have done that, then go from there. Don't get ahead of yourself. It's 3-6 years of total textbooks. There's no need to have it all planned right now.

[tired kestrel]

thanks a lot man... really appreciate the well put effort

I will start with that naive set theory it seems to be a perfect fit I assume it sheds the light on the ZFS set theory.... right?

[dusk wind]

anyone read this? https://archive.org/details/reallinearalgebr0000feke/

[quiet wave]

thanks g

[molten mason]

Yeah

[dark berry]

Thanks for the recommendation bro👍

[gray gazelle]

Hi, I’m in Post 16 and I’ve almost finished learning my two maths courses (ocr a-level maths and a-level further maths). It includes quite a bit of calculus, from basic to implicit differentiation and first and second order differential equations. Are there any book recommendations for when I finish reading all this? Ig I’d want it to be for undergrads as that’ll be what I become next. I like learning and tackling calculus problems, algebra and trig, but I’d also want to get better at 3D vectors and matrices (up to 3x3).

[dark berry]

Hey guys please any recommendation geometry book ?

[molten mason]

https://mecmath.net/trig/

[molten mason]

What level of geoemetry... what is your background level of geometry and what is your goal in a couple sentences?

[dark berry]

College geometry

[vital bane]

what does "college geometry" mean

Like coordinate geometry? conics sections?

[raven agate]

Hey guys, do you have any book recommendation which talks about like history of numbers(bases), then go to arithmetic operations and just like that from the very basics with history reference?

[molten mason]

Try this.

https://arxiv.org/abs/math/0702029

[molten mason]

Hartshorne

[dark berry]

Thanks bro 👍

[gray gazelle]

hey this is nice!

[graceful moon]

I was kinda hoping that was going to be the most ungodly algebraic geometry I’ve ever laid my eyes on

[crimson leaf]

http://math.stanford.edu/~vakil/216blog/FOAGjul3123public.pdf

[dusk wind]

excellent

[crimson leaf]

The only time a math book has threatened me

[steel cloud]

What background is needed for Category

[gray gazelle]

where is this from?

[lean pagoda]

Vakil I believe

[lean pagoda]

(Oh well maybe I should've scrolled up a little more, yes it is Vakil)

[bleak rock]

dang i need this one, thanks g

prolly this would help me a lot to study for this last sem in a few months

[tired kestrel]

wanna know where to find that mad man

[jagged oracle]

what is the best textbook (preferably free online pdf form) for self studying calc 3?

[crimson leaf]

It's Vakil so Stanford

[dusk wind]

check the mecmath main page

[jagged oracle]

is this better than: multivariable calculus by stewart 7th edition?

[dusk wind]

its free

[molten mason]

I've only heard nothing but great things about The Rising Sea, plus it's constantly updated.

[molten mason]

Category Theory? Nothing.

[sage kelp]

Can anyone shed some light on how Bartle and Carothers compare?

[molten mason]

This gives the same energy as Little Caesar's

"Is it good?"

"It's HOT and it's READY"

[smoky zephyr]

dissing little caeser's...

[crimson leaf]

Yeah he's still fixing stuff afaik but I think he said content wise he feels it's mostly complete which is fair as it's 800+ pages lol

[molten mason]

I still have a way to go, but I've had it on my computer forever lol

I'll probably be able to get to it in Fall of 2025

[gray gazelle]

Any book for Euclidean geometry?

[molten mason]

Besides Euclid's very own Elements?

You can take a look at https://arxiv.org/abs/math/0702029

Or AOPS Introduction to Geometry

[gray gazelle]

what is a good textbook for probability & statistics?

[ocean spindle]

for probability use introduction to probability by seppalainen, pinsky and karlin for stochastic processes

[gray gazelle]

is stochastic processes statistics?

[ocean spindle]

it was a part of my university probability course

[gray gazelle]

oh ok

[tired kestrel]

which uni if i may ask?... thanks in advance... and sorry for interrupting

[delicate lake]

Hi Y’all, I’m wondering if anyone here can recommend a good book on the mathematics of pattern formation?

[mossy flume]

pattern formation in what context?

[cold elbow]

can anyone recommend a book for mathematical logic

[narrow prairie]

Euclidean geometry in mathematical olympiads

[heady ember]

On another note, I see the guy is a palantino enjoyer.

[broken meadow]

Palatino

yeah okay its a decent font

i retract the sully

[jaunty quail]

How good is RCA

Good = What are books you would recommend over RCA with similar learning objects and why?

[remote sparrow]

#book-recommendations message

[remote sparrow]

you can look in pins

[jaunty quail]

Yeah I have but other people have opinions

Also none of the pins address my question directly with RCA being main point of comparison

[cold elbow]

Thanks sourdrop

[gray jungle]

as a book for measure theory or complex analysis ?

#book-recommendations message i have done a comparison between folland and rca in the past if that helps

[grave heron]

cult material

[modern ruin]

lol

[vital bane]

I love this

[queen belfry]

Hey

Could someone recommend some number theory books

[daring lake]

Ivan Niven is a good one (intro to theory of numbers)

[jaunty quail]

Thanks this was well written

I was looking for more of its view as a measure theory introduction book

Ive seen some measure theory before but am looking for a book that explains why each topic is brought up

I dislike how books go chapter to chapter without explaining motivations for concepts ( or writing one sentence for it).

Which is what ive noticed with RCA at times

[gray jungle]

then i highly recommend an epsilon of room , it seems like just the book you are looking for

its my "motivation" source for real analysis

[jaunty quail]

Thanks. My learning objective is to apply measure theory to other fields honestly speaking

[crimson leaf]

Does anyone know any good quick lecture notes on analysis specifically series and power series

[craggy barn]

Does the language play a role?

[crimson sonnet]

Total Gamble: 1

[crimson leaf]

I can only read English

[craggy barn]

okay then i do not know any good books except rudin maybe

[molten mason]

I'll take the non-English notes

[worthy basalt]

i like holes

[timid phoenix]

anyone know some books on trig and calculus

[mossy shell]

Any recommendations on statistics?

[pine widget]

my friend suggested something called BLACK BOOK

[mossy shell]

@timid phoenix sent you a dm for a pdf book on calculus

[heady juniper]

Does the material covered in an undergraduate algebra course require linear algebra?

It's often a prerequisite to take the course, but I've never understood if that's a mathematical maturity thing or if the material uses linear algebra. For example, does one need to cover linear algebra before moving to a textbook like Lang's Undergraduate Algebra or is the book/material self-contained?

[loud cradle]

for the theory of field extensions you need to know basic linear algebra yes
and module theory is in some ways a generalization of the vector space concept so you would want to know it there too if your course covers modules
aside from that, there are many interesting examples of matrix groups

[remote sparrow]

yes, you should know basic linear algebra, but you don't need an especially sophisticated understanding for many books.

[molten mason]

His book say it's recommended but jt doesn't require Linear Algebra beforehand, and in fact he states that book should be combined with his Linear Algebra text.

[sage python]

Artin does the two simultaneously

[glossy zealot]

You can search MIT real analysis

There should be a lot of course notes

But beware of their accuracy

Some are done by students for their professor, they may have more errors

[left falcon]

are there any books/class notes that have similar order of contents as rudin's pma?

or based on pma?

I know apostol is one but i'd like to know if there are more

[soft rock]

What is your opinion on the book of proof. Is it good for a person that has 0 knowladge on how to proof write . Is it too vague?

[left falcon]

the book is good

but I recommend keeping it as a reference rather than reading the book from beginning to end

like for example take a proof-based theoretical math course

and keep the book aside

[soft rock]

ok

so how different is an introduction course about proofs in a math major

compared to what the book offers

[crimson leaf]

My course was based on that book actually

We skipped combinatorics and came back to it at the end though

[remote sparrow]

browder's Mathematical Analysis: An Introduction mentions rudin as a strong influence

[fierce hedge]

The books by Jiří Lebl mention pma an excellent text and biggest inspiration. Also, it's completely free - https://www.jirka.org/ra/

But it's at a lower level than Rudin

[mossy shell]

.

Brand new to the topic btw*

[vital bane]

if you know where to look, every book is a free online book

[trail hemlock]

🏴‍☠️

[glossy zealot]

You can be more specific

Cuz there are many books catering to different readers

Basic statistics

Applied statistics

Statistics for physical scientist/computer science

And a lot more

[gray gazelle]

Could anyone recommend a good book for the following course;

Content:
We will develop the basic notions of algebraic number theory. In particular, we cover the following
topics:
• number fields, rings of algebraic integers, discriminants, traces and norms, integral bases, and
fractional ideals as well as the related algebraic notions of Dedekind domains and discrete valu-
ation rings;
• the two major finiteness theorems: finiteness of the class group and Dirichlet’s unit theorem (both
via the geometry of numbers);
• irreducible elements, prime elements, unique factorization, and Euclidean domains;
• the decomposition of primes in number fields;
• localization and completion techniques.
Time permitting, as important special cases, we will consider quadratic number fields and cyclotomic
fields.

The official recommendation is Neukirch but it seems that Neukirch covers way too much so I wonder what would be the alternatives?

[remote sparrow]

@finite gale

[winged marsh]

Any recommendations for a book that has challenging examples/problems in Complex Analysis? It's an undergraduate course for me but a book that's beyond undergraduate is also fine by me, thanks for any help!

[remote sparrow]

check pins

Complex Analysis by Bak and Newman and Complex Analysis by Donald Marshall are also good

these books start with power series

[small perch]

Not really book recommendation, rather one for topics.
I recently get into algorithm theory, theory of automata.
Can someone suggest something similar?
Don't want to miss something cool there

[remote sparrow]

you're asking for topics similar to automata theory?

and what is "algorithm theory"?

[small perch]

you're asking for topics similar to automata theory?
Just for something related, maybe it will be automata theory but more specific topics like turing machines or finite automatons.

and what is "algorithm theory"?
Theoretical computer science
Idk, maybe it's better to say computational complexity theory, computation theory, type theory. It's like all this topic about P vs NP problem

[remote sparrow]

p vs np is specific to complexity theory

you might be interested in computability theory

standard advanced undergraduate references would be cutland or cooper

graduate references would be soare's Turing Computability, odifreddi, and rogers

[mossy shell]

You really dont even need to know they usually kinda just pop up lol

[mossy shell]

Probably this then

[sage python]

If you do Neukirch you'd be focusing largely on chapter 1, maybe a tiny bit on chapter 2. There are also notes by Milne that people like

[gray gazelle]

Yeah that is what I dont like it's like 80 / 500 pages, which makes me think it is more encyclopedic than pedagogical. Do you think there is any book which goes over less concepts but more slowly?

The notes you mention seem really nice regarding that

[sage python]

Tbh I liked the subset of Neukirch that I read but yeah try Milne, maybe for something more gentle there's "Number Fields" by Marcus that some people here enjoy

[mellow wren]

neukirch is very pedagogical tho

[gray gazelle]

Okay i guess i'll use both neukirch and milne and see which one i find better

[earnest wolf]

can someone please suggest in what textbook (and in what chapter) I may find the theorem (and its proof) that an inverse of a contrinuous function is also continuous?

[sage python]

None because it's false

[craggy barn]

Neukirch is pretty nice i would say

[heady ember]

Schroder Theorem 3.38

[jovial parrot]

XD

[sage python]

Wait what

Consider the function f:[0,1)->S^1 given by f(x) = e^{2pi i x}

[stiff lagoon]

The inverse of a continuous bijective function is continuous, i.e. an homeomorphism.

[broken meadow]

huh

[dim sierra]

that’s not always true, you can take for example the map f:[0,1) -> S^1 that takes t to e^{2pi i t}

this is certainly a bijection and continuous, but the inverse function is not continuous (intuitively, this is because it tears S^1 apart)

[lime vessel]

Continuous bijective function from a compact space to a Hausdorff space perhaps

[deep summit]

different books have different definition for same thing

i mean written in a different way

then how do i decice which definition to write in my notes ?

sometimes its even hard to tell if those definitions are equivalent

have to go by trust

how do i even choose a book in such a case ?

[lime vessel]

One could look up the internet for a list of all variations on the definition

So you can figure out which ones imply which, which have nicer properties, which are in common use in which area, etc

[stiff lagoon]

Oh true!

[floral lodge]

Any recommendations for a good pre-calculus book?

[solemn sigil]

AOPS pre calc is a good book ,

GH hardy A course on pure mathematics is also good

[magic flume]

i have a cousin who's having trouble deciding whether to major in maths or not, do you people have any book recommendations for him, so that he can try some things out and see how a math degree problem is, and like how different it is from typical high-school math?

basically some beginner book with problems which would be a good representative of what a math major would be working on most of the time

[orchid mortar]

If you really want beginner books maybe the free books on proving would be a really small step.

But I think going directly to what mathematicians work on and use is better. For that you can go for any of Knapp's "basic" books, which are also freely available.

There's definitely some others but I'm just naming some widely available stuff.

[orchid mortar]

Also better if you can give some ideas other than 'math' - people usually have preferences

[magic flume]

he likes euclidean geometry but i guess that's not really common at uni level

other than he said he likes algebra and calculus

[graceful moon]

I’d recommend something like “a concise introduction to pure mathematics” by Liebeck

It gives a taste of loads of areas of maths and what doing maths is actually like at uni

But it’s super super approachable and available online

[magic flume]

that's exactly what i was looking for, thank you!

[magic flume]

i'll look into those as well, thank you

[gray gazelle]

You probably won’t find a serious treatment of all of those in one book

[nocturne dust]

I learned some o-minimality and VC dimension. What would be a good start for a pure math student to read about neural networks AND PAC learning AND (I doubt this part is possible) the connections to model theory?

You can assume my current knowledge about neural networks is 0.

[remote sparrow]

https://www.amazon.com/review/R1LXGDTK7JN37E/ref=cm_cr_pr_perm?ie=UTF8&ASIN=0486683362

@sage python here is a review of Advanced Calculus of Several Variables by edwards that you might be interested in reading

[remote sparrow]

https://math.stackexchange.com/questions/265068/multivariable-calculus-books-similar-to-advanced-calculus-of-several-variables

[sage python]

Oh yeah the students who took analysis before I did said they used Buck

I think they mostly didn't like it

[remote sparrow]

https://www.reddit.com/r/learnmath/comments/11zp1ll/i_need_to_recommend_this_book/

[heady juniper]

I'm getting interested in the Olympiad style of math as a hobby. One of the reasons is that they tend to use some pretty fun techniques to solve problems that I really never heard of in school. They're not always tricks either. There's the alternative way of solving quadratics by using Po-Shen Loh's method (I don't know what else to call it. I'm aware he didn't invent it, but not sure if there's a more obvious way of describing it).

There's a lot of these very nice, genuinely useful algebra tools that I'd like to play with for fun. And I find the questions pretty fun as well. Since I'm not doing this for any actual competition, it's just relaxing.

I'd also like to find an enormous amount of problem sets, even if I have to purchase a copy.

Are there any resources that teach some of these tools in a friendly way? I'm very impressed with Po-Shen Loh's pedagogical style, but I don't think he's written anything substantial. I've seen some videos. I've looked at some of the olympiad books, but they either assume you're already initiated into the style of math the book is teaching or they're unbelievably dry. I'm sure there are good ones.

[narrow prairie]

Try The Art and Craft of Problem Solving by Paul Zeitz

https://artofproblemsolving.com/community/c13_contest_collections has basically infinite problem sets

[mossy shell]

Any good books for beginning ap statistics?

[torn crypt]

Pierre Simon’s Guide to NIP theories covers some VC and o-minimal stuff, and the NIP model theory stuff mostly (which o minimal is a particularly nice kind of NIP theory). I do not know a reference on the usage of VC dim or o-minimality wrt machine learning, but the contents may be helpful

I apologize for the lack of ML or o-minimal specific data, though if I remember correctly VC dim is related to online learning (or was that the stable theory one? Either way, might be a keyword you can use, oops)

[heady juniper]

Thank you

[heady juniper]

And last question. I’ve been a bit frustrated in my college algebra course. As one example, today a girl asked the question regarding completing the square: “wait, why do we divide by 1/2 there?” The professor’s response was “because that’s the rule,” while pointing at the term.

That was the entire explanation for the why.

Virtually all arguments for elementary/intermediate algebra end up being “that’s the rule.”

I guess it just isn’t obvious to me how the originators of algebra found the slope formulas, completing the square, quadratics, etc.

I’d like to find a book which tries very hard to intuit the logical reasoning behind these things. Preferably not using geometrical intuition. I’d like the see the algebra explained in terms of algebra, but with intuition and derivation in mind. I want to feel like I could have come up with these formulas and rules.

[sick river]

Dividing by 2 comes from the fact that the linear term (bx), the b is a sum of the two factors but when completing the square you’re trying to find those factors, so you know b is equal to 2 times the factors, hence dividing by 2 is required. As for other books, you can check out Langs Basic Mathematics, intended to provide a somewhat rigorous footing to pre calculus math

@heady juniper

[broken willow]

Hi; does anyone have any book recommendations for free pdf copies online for Percentage, Successive Percentage, and Rate and Ratio

Thanks

[magic raft]

Hi, I am trying to remember the name of a book I read 1-2 decades ago: among other things, it had the story of the derivation of the cubic formula for root of cubic polynomials with some various Italian characters involved in math contests at the time like Tartaglia and del Ferro and was quite a cute little story. I THINK the book may have been the book An Imaginary Tale: the Story of i, but I can't be 100% sure, could anyone confirm if they have read this and remember? Wanting to get it as a gift for a friend's high school daughter who told me how she goes to college math lectures and enjoyed one about the cubic equation, also open to other recommendations for something that's kind of story-based and educational but not in a textbook heavy kind of way (plz reply to ping me)

[molten mason]

If you can find Basic Mathematics by Serge Lang, it's shown on page 19 and explained on page 83. Your professor isn't 100% wrong, a lot of these basic types of equations, it really is because that's the rule. If you were to just plug in randomly numbers and play around with it you'll discover a pattern, that pattern is the rule.

For example in this case, if you look at the equation of a quadratic $ (x+n)^2 = x^2 + 2nx + n^2 $ , you'll see that the middle term is two times a number times x, and the last term is the same number squared. So that means the middle coefficient = the square root of the third term, then mulitiplied by two. So to get what the third number is, you do it in reverse. Get your middle coefficient, and divide by half, then square that number.

[nocturne dust]

Thanks! Another question: what should I know in terms of ML to understand this paper?
https://arxiv.org/abs/1801.06566
I have a model theory background so I'm just trying to figure out how to most efficiently learn ML basics needed for this paper 🙂

[torn crypt]

This is exactly the online learning thing I was thinking of

[torn crypt]

I don’t know the ML stuff much and my model background sucks too, but if you already know the NIP and stability stuff, then they cite (under [8]) a paper detailing connections via VC dim stuff

Citations [7,9,11] seem particularly relevant

And those should be written math POV so the relevant definitions necessary should be usable @nocturne dust

[remote sparrow]

https://services.math.duke.edu/~wka/math204/

i found some notes and homework that could go with rosenlicht (for real analysis) and edwards (for multivariable calculus)

[trail hemlock]

hey yall any good lecture notes to follow along with Rudin's PMA? just looking for clarity on a few things that other books dont cover in the same way, or an alternate proof/explaination.

quick google search gave me this:https://bomongiaitich.files.wordpress.com/2008/10/silvia-em-companion-to-rudins-principles-of-analysis-web-draft-1999434s_mcet_.pdf
just asking if they are any tried and true ones out there

[remote sparrow]

https://analysisyawp.blogspot.com/

[vital bane]

<@&268886789983436800> crank alert

[trail hemlock]

this is really something

2. 1+1=1 Most say the most certain of things is 1+1= 2
   but
   1+1=1, 1 number + 1 number = 1 number
   ie 1 number (10) + 1 number (20) = 1 number (30)
   1 chemical (na sodium) + 1 chemical (cl chloride ) = 1 chemical (nacl
   salt)
   Thus mathematics ends in contradiction

💀

[modern ruin]

i would not be surprised if this was a copypasta from somewhere else

[trail hemlock]

i pray every day that these types of things are satire

[remote sparrow]

to say mathematics is a contradiction is a bit silly, but it does raise a point that "obvious" statements like 1 + 1 = 2 are still fundamentally abstractions. it's kinda neat

[undone rapids]

I need a book about Number theory. And it will be great if there is a free pdf available

[vital bane]

What kind of number theory?

Introductory? Algebraic? Analytic?

[undone rapids]

huh

Introductory I think

[graceful moon]

Rosen’s elementary number theory could be good, if you google it I’m sure you’ll find a PDF

[rigid barn]

If you mean Ireland-Rosen, that can be a little tough to a complete newbie, even if they do start from the beginning.

[rigid barn]

Niven-Zuckermann is a very accessible, but rigorous intro I think. There's also Silverman's "Friendly Intro to NT".

[vital bane]

There is also the number theory lecture series by Richard Borcherds

https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8

[graceful moon]

No just Keneth Rosens Elementary number theory and its applications, it has basically no prereqs I’m sure any decent highschool student could get through it

I wouldn’t recommend a book that assumes ring theory to someone who isn’t sure which type of number theory they’re looking for lol

[rigid barn]

It doesn't assume any ring theory though, he literally defines what an ideal is. Strictly-speaking, Ireland-Rosen has no prerequisites, but the pace is pretty brisk, which is why I wouldn't recommend it to most newbies.

He says the following, but the first 5 chapters (which constitute the basics of NT, i.e. modular arithmetic) require no algebra.

[graceful moon]

Ok that’s fine, but I did mean just Rosens book lol, I agree that Ireland Rosen isn’t a great recommendation for a total beginner even if it is theoretically possible

(I’m currently taking a course that has them both as recommended references so I’m only sort of familiar with them both, but Elementary number theory by Rosen is definitely accessible to anyone)

[past tiger]

i want practice calc 1 & 2 questions for my exam especially calc 2, does anyone know any book or resource to practice for my college exam?

[alpine rover]

you could probably do well with an AP Calc AB/BC prep book, Barton’s or Princeton Review

[acoustic cliff]

Is there a regular Calc book that tries to teach you the material solely through problems?

[pliant wadi]

Opinion on I.N Herstein's 'Topics in Algebra' vs 'Abstract Algebra'?

[rigid barn]

AFAIK the latter is a watered down version of the former, which is a nice text. The group theory chapter and the final chapter on 3 theorems are great, the rest are a little lacking.

[pliant wadi]

ah, I am specifically looking for problems in group theory so 'Topics...' should be the go to ig?

thanks

any non-dated textbook along the same lines

that you'd suggest?

[rigid barn]

It's not "dated" like a humanities text might be, the math is ageless, just there are some that do it a little cleaner and better.

[rigid barn]

Jacobson's Basic Algebra, but it can be tough for newbies. Although tbh it's not like Jacobson is light years ahead of Herstein, it's still a great book.

[livid ermine]

those books are so based

[pliant wadi]

yea, ofc

[pliant wadi]

ah, alright

thanks

[pliant wadi]

as in?

[livid ermine]

As in what?

[rigid barn]

Forget what I said before, it's not "dated", just some more modern texts are a tiny bit more streamlined. It's not a huge difference. It's only downside IIRC is that it doesn't cover rings/fields as well as it does groups.

based on what brosky???

[pliant wadi]

yea-yea, I got your point

[livid ermine]

I don't know if you're trying to set me up for a joke, but based means good, it means I approve of the book.

The reason I think its based is because the writing style and the topics it covers.

Like ch 6 and 8 are not covered in dummitt and foote, herstein or aluffi if i remember correctly and those chapters are really dope

Neither is rep theory of finite groups

which is in jacobson2

[pliant wadi]

yea lol, but I was just like, looking for some elaboration, nothing else

[pliant wadi]

Ooh interesting

have you heard of martin burrow's book on that topic

I came across it in this old-books store

idk if it's good

[livid ermine]

I haven't.

[pliant wadi]

ah, alright

I was gettin it for cheap so I was wondering if it was worth it

[livid ermine]

🤷

people in amazon reviews seem to think its good

[trail hemlock]

spivak🙏

[livid ermine]

Have anyone here read "Probability approximations via the poisson clumping heuristic"

?

And what is opinion

[trail hemlock]

this sent a few hours after i typed it wtf

[molten mason]

John Stillwell has Elements of Number Theory which is great for introductory level and self-study. It's meant to be combined with his Elements of Algebra as an introduction to abstract algebra.

[molten mason]

[undone rapids]

Thanks, I will listen to the lectures mentioned above and probably find this book

[fossil nest]

anyone know a nice introduction to hyperbolic space and in particular the poincare disc model?

[vivid vigil]

Nice introduction for differential calculus and integral calculus?

[trail hemlock]

• https://www.ime.usp.br/~gorodski/ps/Courant-DifferentialIntegralCalculusVolI.
• for just introduction, literally any calculus textbook you can find
• A Hitchhiker's Guide to Calculus - not a textbook, more of supplament material

[remote sparrow]

i think i should write a book list some time

starting with calculus and below

[tribal crow]

diff geo book recommendations?

i would like to learn some over the summer when this semester ends

[tribal crow]

*if it matters, it should be noted that i have an interest in GR too

and i would like to have a proper math background for when i decide to eventually go study it

[molten mason]

Yeah I keep meaning to do the same, I have random hodge podges of notes for about every subject but I need to actually sit down for a couple hours and organize it all. It would be helpful to refer and copy+paste

[modern ruin]

all roads lead to do carmo

[pliant falcon]

whats your current math background?

[modern ruin]

oh yeah that is probably important

[tribal crow]

only elementary analysis and linear algebra as of rn; also hey, good to see you again

if i need more than that, do tell me

and i can set aside diff geo for later

[pliant falcon]

you have two options, learn very computational riemmanian geometry (which is for sure feasible and prob how most physics students learn diff geo first) or learn the underlying framework of manifolds

if you want to learn about manifolds then you are in position to crack open Lee's Topological Manifolds, it will go through all the topology you will need too

then you can prob crack open Lee's Smooth Manifolds after that

which is where diff geo/top begins

[tribal crow]

funny, i downloaded all three of Lee's manifolds series a while ago for no good reason lol

[pliant falcon]

Topological Manifolds is not a bad place to start than

[tribal crow]

sounds good, i had suspected that topology was going to be needed

[pliant falcon]

yep, very important. You will have a leg up compared to most other students who do GR if you have a good grounding in topology

more specifically diff top

[tribal crow]

smay recommended do Carmo; would i need to read that as well or is that not necessary?

[modern ruin]

differential topology is important

[modern ruin]

you should have some topology under your belt

if you're gonna try and read it

[pliant falcon]

Lee's Topological Manifolds is exactly what you want then.

[steel cloud]

Can someone suggest from where I should learn Lagrange interpolating polynomial

[molten mason]

Maybe not so much books, but perhaps more YouTube.

Does anyone have any good resources of other people doing/going through Analysis or Abstract Algebra problems? I'm not talking about lectures, there's plenty of those, but just a video purely on working out and writing the proof. Like how there's thousands of videos on solving calculus problems.

[tribal crow]

i learnt it from FIS (Friedberg, Insel, Spence's Linear Algebra 5th ed.) but there are probably other places

[steel cloud]

Okay

[tribal crow]

FIS has only a brief section on it, though i admittedly dont know how deep the subject runs

[tribal crow]

okay, gonna go for that then

ty for the recs!

[trail hemlock]

theres a yt channel called "Wrath of Math" who has a bunch of playlists working out proofs.
https://youtube.com/playlist?list=PLztBpqftvzxVvdVmBMSM4PVeOsE5w1NnN
https://youtube.com/playlist?list=PLztBpqftvzxXAN05Gm3iNmpz9SkVfLNqC
https://youtube.com/playlist?list=PLztBpqftvzxWo4HxUYV58ENhxHV32Wxli
not sure if this is too much hand holding from what you are looking for

[molten mason]

That's funny I think I've used a couple of their videos before for set theory lol I'll browse the rest of them, thanks!

[remote sparrow]

check out Differential Geometry of Curves and Surfaces by kristopher tapp and another book of the same name by do carmo

[molten mason]

I can read books all day but I have 0 motivation for actually doing proofs myself, so anything helps.

[trail hemlock]

this dude singlehandedly saved me when i was learning monotone convergence

[molten mason]

I found some videos by James Cook too, haven't gone through them though

[vital bane]

Barrett O Neil's "Semi-Riemannian Geometry with Applications to Relativity" maybe

[dusk wind]

don't let him cook

[wispy bison]

Or, if you’ve done analysis, you can also read sutherland’s Introduction to metric and topological spaces, which motivates topology nicely

[graceful moon]

Good alternative to Sutherland is Magnus Metric spaces, I’m almost finished it now and it’s really really good

[heady ember]

Friedberg

[orchid mortar]

Cool to hear people liking recent books!

[stone axle]

Any ODEs book recommendations?

I’m in applied math and this is my first ODEs course

[quartz blaze]

is the art and craft of problem solving a good book to prepare for an olympiad?

[formal oak]

My course is using Differential Equations, Dynamical Systems, and an Introduction to Chaos by Hirsch, Smale, and Devaney. And I do not like it. So, I am looking to see what other books people recommend haha

[gray gazelle]

Any book that focuses on problem solving? Also, I haven't done calculus yet, so I believe it would be better a book with no calculus problems

[balmy crown]

is there such a thing as a book about Intro to Algebra?
No matter how far I go in my math education, my poor grade school math education keeps haunting me in my upper-level math courses by always highlighting how i can compute something but not truly understand it

like using the word irony, you know more often than not how to use it but not how to define it

[gray gazelle]

https://www.math.stonybrook.edu/~aknapp/download/b2-alg-inside.pdf

I think that might help

are you a complete beginner in Algebra?

[balmy crown]

ill be honest, I don't even know what algebra is. How I managed to do well in Linear algebra is beyond me

not beyond me, i related a lot of it to data science

[gray gazelle]

if you love books then I think this one will be good then but if you love videos I could recommend something

[slender cargo]

can you give an example about computing something you do not understand?

[gray gazelle]

very good

[balmy crown]

I can tell you something is a multiple/divisible without being able to tell you what it means

i can do it now after spending a week on the idea

but it makes me mad that im deep in my math education to finally understand something that should be elementary

[slender cargo]

Ah okay. I think it's kind of normal for people from high school to only have a foggy idea of this stuff

You could look at something like Lang's Basic Algebra, but if you already took Linear Algebra, I feel like you don't need that

[balmy crown]

ya, math education can be weird. We're given ideas as kids that we dont look back into until years later, kinda like pre cal

[slender cargo]

In an Introduction to Real Analysis book, generally the first chapter will be about the explaining those properties. Just a brief overview

[balmy crown]

thats good to hear, im working towarsd that course currently

[slender cargo]

And that's where I learned that stuff honestly

I think Abstract Algebra is where that stuff really gets covered more

(which is what I am taking now)

I plan to learn about how the Real Numbers are constructed after learning Field Theory in Abstract Algebra

so yeah, I think I wouldn't sweat it too much?

Intro to Real Analysis will really help in deepening your understanding of how the real numbers work

[balmy crown]

i was thinking of taking that course, do you reccomend taking it much later after real analysis or before?

ya, i know, i can just be hard on myself sometimes

[slender cargo]

Depends on your school? I think the material is separate from one another

I'm taking the second course of Real Analysis at my school alongside Abstract Algebra right now

[gray gazelle]

@balmy crown do you study math at uni?

[balmy crown]

yes, its just not consistent

[gray gazelle]

is it a part of your course but not your major?

[balmy crown]

my major is CS, im an online student, im trying to get into a PhD in biostatistics which require Real Analysis and Numerical Analysis

unfortunately upper level math is limited online

so ive been taking it wherever the math is offered

[gray gazelle]

there are lots of cool books for free online and upper level math

what book do you need?

[balmy crown]

im taking foundations of mathematics right now at emory, ill be taking real analysis at John hopkins, numerical analysis at osu, and probaility theory at penn state

i got the books covered for the most part

for the classes im taking

[gray gazelle]

cool

[balmy crown]

i read through Book of proofs for my foundations class and my school is using intro to abstract math

i have a lot of recommendations for real analysis, im just not sure which one is the right one to start with

the classes im planning on taking it uses The Way of Analysis, Revised Edition (Jones and Bartlett Books in Mathematics)

but its a thick book

[gray gazelle]

it's not about which one is right to start with, it's about which one you understand better from it

[balmy crown]

exactly, thats what i meant

[gray gazelle]

give them a quick look and see the explainations

like a day for each book

[torn crypt]

Some books do just suck though

[balmy crown]

i liked the book of proofs because it went in depth while explaining it in plain language

which helped me understand intro to abstract math more. They both go in different orders too

[gray gazelle]

yeah mathematics books could be so complicated

[balmy crown]

lol ya

[gray gazelle]

if you don't have a good foundations in mathematics and you jump for example to real analysis or whatever

and bring a book

you will feel shit about mathematics

but as you are in CS, I recommend to you to learn only what's linked to your major

and don't go to deep in what's not required

[balmy crown]

do you recommend taking some other courses before taking real analysis?

well i like math too, i dont just do it for phd requirements. Real analysis and proofs are very much used in biostats

honestly more math would only help in most cases

[gray gazelle]

not really, you need maybe someone has a PhD in mathematics or something so they could know which thing before what thing helps

but here's a thing

I have learned

lemme tell you about it

let's say you have zero knowledge in mathematics but you learn it for CS

go straight forward to the things that are related to CS with math

you will get stuck a lot but with googling and chatgpt

you will fill the gap

that's easier than getting math from the beginning

[remote sparrow]

strichartz is long because he's wordy, not that more content than usual is discussed

[gray gazelle]

because math like a blocks builded above each other so if you keep taking the idea of oh I will do this before this to understand this, you will go so back

just to learn a small thing you want

[remote sparrow]

people often say to "fill in the gaps later" but university is the best time to get a solid foundation

[balmy crown]

I completely agree, it through experience in programming that made me appreciate what I learn today. Set theory would've been nonsense to me if didnt learned about sets in Python programming. So I do have an idea of what would be helpful.

[balmy crown]

ya, you dont learn to appreciate it till later

[gray gazelle]

Yeah, my point as long as they ain't specialized in Mathematics, they don't need to get it in the right order like algebra then linear algebra then ....etc that will take lots of time and effort otherwise they could start directly to learn what they need in mathematics for CS and when they stuck, they could ask, google, use AI

[balmy crown]

I get that, ill just stick towards meeting the requirements for now then

im just overthinking things

[gray gazelle]

it's okay, I can understand your position

I have OCD

so I overthink things too

[molten mason]

Real Analysis would be great for someone studying Computer Science.

Real Analysis, and Abstract Algebra are roughly 2 semesters each worth of content at the undergrad level and don't have any pre-requisites except your regular calculus courses and ability to read/write proofs.

Set theory and a proof writing book would be the only real prerequisites, it seems you've already read up on set theory and honestly you can figure out proofs while learning introductory real analysis ans abstract algebra.

[balmy crown]

gotcha, for real analysis, do I need to have other knowledge aside from calculus and proof writing? I'm not sure everything that i will learn in foundation of math since he didn't write a syllabus. Would i be ok if i dont end up learning about things like relations or functions in depth?

[molten mason]

I would say no, higher level math classes is where you learn things in depth

At my university you study Pre-Calc -> Calc 1-3 -> Linear Algebra -> Proofs -> Analysis and Abstract Algebra

[balmy crown]

that is so relieving to hear

[graceful moon]

You arguably don’t even need all that depending on the text you use

[molten mason]

Yeah I think in other universities, Real Analysis is combined with Calculus courses

[graceful moon]

Something like Tao you could use without having even covered proofs before, and I’m sure there are other books which don’t assume calculus either. But yeah assuming you’ve done calc and you’re vaguely familiar with proofs you’ll be fine, my uni teaches proofs with basic analysis

[balmy crown]

ya, you're right. I looked at the courses syllabus and they even have a preliminary week where they cover proofs and infinite sets

[molten mason]

@balmy crown if you pick a popular enough book, there will be tons of resources online such as walk-through or answers to exercises to see where you're going right or wrong.

For example MIT OpenCourseWare and YouTube

[balmy crown]

you got any beginner-friendly recommendations?

[trim kayak]

Hey Salagos, how's it going?

[graceful moon]

Tao is very gentle and really starts from the beginning. His exposition is incredible, loads of good problems, I’m a big fan of his books. Ross and Abbot also have good books for beginners

[balmy crown]

Analysis I: Third Edition right?

[graceful moon]

The other 2 books people usually recommend for analysis are by Rudin and Spivak but I’d avoid them for a beginner

[graceful moon]

Yeah I think there’s a 4th edition out but it won’t matter they’ll be basically the same

[balmy crown]

sweet, ill start with Tao then. I had like 7 book recommendations in this topic but didnt know which one would be the right one to start with

cause some math books give more vague explanations and expect you to understand some ideas without mentioning them or they go into a weird order

[graceful moon]

Yeah like I said there’s loads of good books, but I’d say pick one of Tao, Ross or Abbot and just stick with it, all 3 are good and very popular so you’ll have plenty of resources for them

[tribal crow]

...opinion on Spivak?

[tribal crow]

*(as a first intro to analysis, i meant)

[molten mason]

Good, yourself?

[trim kayak]

Pretty good. Just sitting around now, doing nothing 🙂

[graceful moon]

Never read it, heard it’s hard to read and dated so wouldn’t be my first choice

[tribal crow]

fair enough

[trail hemlock]

its amazing. spivak and some russian books is how i learned calc, and im using those techniques on rudin (and still getting cooked a lil bit). but its very rigorous and its recommended to use supplement material.

[tribal crow]

i'm using spivak rn, which is why i asked!

[trail hemlock]

its great

love spivak

[loud cradle]

i wouldn't call spivak dated or hard to read, it's probably the best calculus book

[trail hemlock]

i bought a copy of spivak just to reference sometimes 😭 maybe im a sucker

[molten mason]

Spivak is great, just not for everyone.

[graceful moon]

Yeah I’m not saying it’s bad, people wouldn’t still be using it after all this time if it was, I’ve just heard it’s very dense and requires a lot of work on the readers side (which isn’t bad!) but personally those things wouldn’t leave it as my no.1 recommendation, and as I said I’ve not actually read it that’s just what I’ve heard about it

[hybrid lake]

I'm sure this has been asked a million times but is there a decent pre-alg book aimed at adults that's sold in print? https://www.ppstest2.com/PreAlgebraBook.pdf I've been using this one and like the style but I haven't found it in print and I get distracted when reading digital

[lean spade]

i recommend: games and information: an introduction to game theory by Eric Rasmussen, 4E. is a good read for leisure and/or uni

[trim kayak]

That Game Theory book looks interesting. Is it difficult to read due to various math concepts? I'd like to read it but am afraid it would be hard to understand

[old elk]

Guys, by any chance, does anyone have the book of
Topology for computing / Afra J. Zomorodian
in pdf to see me could give it to me in pdf by fa

[trail hemlock]

spivak prob the reason i fucked up on my bio tests 💀 never had the time to study

[trail hemlock]

assuming by "aimed at adults" you mean it doesnt go at a snails pace, maybe try Aops prealg.

[hybrid lake]

aops = art of problem solving?

[trail hemlock]

yeah

[hybrid lake]

aimed at adults as in, I have some math knowledge, like how to find a dot product or do a matrix transform but I'm completely missing my fundamentals

[trail hemlock]

i think aops does that well, it reinvents the circle for most concepts.

lmao idk how to do a matrix transform or take a dot product💀

[dusk wind]

this is pre algebra??

[hybrid lake]

(a.x * b.x) + (a.y * b.y) + (a.z * b.z) for a 3d vector

[trail hemlock]

ye

ik u prob got some crazy prealg books

[dusk wind]

this literally just looks like algebra

[trail hemlock]

bro got books for every subject😭

[dusk wind]

maybe they should just use the regular aops books

yea

[trail hemlock]

aops goat

[hybrid lake]

It's something I just picked up from writing shaders

[trail hemlock]

except their calc book all other books are 😍

[dusk wind]

no real reason to use a prealgebra book if you're at that level

[hybrid lake]

Oh, I'm not

hmm, can't find a seller in Benelux area

[dusk wind]

if there isn't somewhere you can buy a copy of that book or aops isn't suitable, maybe find an easy algebra text, many are good on helping with that

you could also just print the pages at your local library etc

[hybrid lake]

amazon.nl carries all the aosp books except prealg

come on

[trail hemlock]

why is the used version more expensive than the new one on ebay 💀

[dusk wind]

you're gonna need to get a bit more creative with shipping

jewels are not found on amazon usually

[hybrid lake]

oh, hell no, I'm not importing from US again

shipping for my unicomp was 80$

[dusk wind]

is there a reason why you don't have a preference for ebooks?

or printing it/using notes

[hybrid lake]

dunno, I find physical easier to read

[dusk wind]

well you could zoom in/use a tablet and OCR or change the lighting

for this level doing the problems is more important

[hybrid lake]

I know

[hybrid lake]

oh, it's not a vision issue

just something subconcious, can't put a finger on it

[dusk wind]

I agree books are better

[trail hemlock]

if you cant get Aops prealg on amazon.nl, there is also the book "Competition Math for Middle School" which goes over prealg, alg, geometry, and a little bit of number theory (its also an aops book too)

oh wow isnt that something, they sell only the solutions manual for prealgebra on amazon.nl

[hybrid lake]

amazon.de has it, but doesn't ship to nl for some reason

even though half my amazon packages are dispatched from de or fr

they have the set of textbook + solutions book but it's 120€

[dusk wind]

maybe get the set used from some seller

[hybrid lake]

no used options

[dusk wind]

on another site than amazon

maybe theres someone there that has it somewhere

[hybrid lake]

oh, amazon.de listing is dispatched by amazon us, that's why

[dusk wind]

maybe sour was right, US is kinda based

[hybrid lake]

https://www.hagglezon.com/en/s/1934124214 had to search hagglezon by isbn, looks like uk, spain and a few others sell it

[dusk wind]

yea just gotta get creative with your shipping options

[hybrid lake]

oh, for amazon it's easy, no difference where you order from, other than wait times (at least for western eu)

I've had orders from dutch amazon ship from spain, france, germany, italy, you name it

[dusk wind]

They have a way to filter through which books you might want. They're all good though.
https://data.artofproblemsolving.com//products/diagnostics/intro-algebra-posttest.pdf
https://artofproblemsolving.com/store/recommendations.php#algebra

[hybrid lake]

0/10 on the test

[dusk wind]

use their full sequence

https://math.stackexchange.com/a/2609851 benefits of their books by an aops shill

For problem solving there really aren't many other options at this level of quality, really wish it was the standard in the US

[trail hemlock]

aops education in american high schools would revolutionize academia

[molten mason]

Don't get me started on the American education system lol last time I ranted for 2 or 3 hours

[dusk panther]

Hello, any books that cover all math up to the high school level? I am looking at algebra, geometry, and trigonometry. It should contain proofs and problems! (on a difficulty scale, anything above medium is fine)

I wouldn't mind if multiple books were suggested for different topics, but it's a tiny bit easier to read from one source as an unmotivated high schooler.

no khan academy

[molten mason]

That test actually humbled me lmao A lot of people ask what's the hardest part of Calculus and I always tell them very few people actually get the Calculus part wrong, most of the time it's an algebra error

[molten mason]

Basic Mathematics by Serge Lang is a semi-formal and rigorous text covering high school math, however it lacks in motivation (which means the book is shorter and to the point)

[dusk panther]

I have read a bit of this book, but I feel like it lacks problems. It's fun to prove things, but I would like not to always pull my hair and solve some actual problems.

also, does this cover factorization and graphing? they tend to be my weaker points.

[molten mason]

Oh that's funny because I feel it has tons of problems lol

Books with any more problems are like twice the size and/or multiple textbooks.

Or plain old dedicated workbooks.

[dusk panther]

I am fine with books that are twice the size, not a problem for me. I basically have nothing serious to do for the next four months.

[remote sparrow]

there isn't a book that does all three of those in the same covers. there are many algebra and trig books though. precalculus books are also essentially algebra/trig books most of the time

[dusk panther]

Precalculus books tend to "review" basic stuff, and leave out a lot of details, as far as I have seen. Which is not quite what I am looking for.

Multiple books are okay if there is no appropriate single book.

[dusk wind]

I just remembered that there was this book which might be too easy though since you mentioned using shaders before. Perhaps some of your discrete math will help with your studies @hybrid lake

just get 1 precalc book then as most are all the same and will likely have that review even if it's brief

you can try precalculus made difficult though or college algebra+trigonometry by leithold

[molten mason]

Probably not at the level you're looking for.

[dusk panther]

Is this suggestion referring to me?

[dusk wind]

yes

[dusk panther]

will try them out, thanks for the suggestion.

[dusk wind]

if you can't find commercial texts that fit your criteria, maybe search uni archives for stuff

[molten mason]

Also I meant to just skim through Lang's Introduction to Linear Algebra and instead I ended up looking at his Linear Algebra and spent today reading it all in one sitting and that was rough: my brain is fried.

[remote sparrow]

https://axler.net/

https://maa.org/press/maa-reviews/kiselevs-geometry-book-i-planimetry

https://maa.org/press/maa-reviews/kiselevs-geometry-book-ii-stereometry

https://maa.org/press/maa-reviews/geometry-3

https://www.amazon.com/Geometry-School-Course-Serge-Lang/dp/0387966544

https://www.amazon.com/Everything-Need-Geometry-Notebook-Notebooks/dp/1523504374

[dusk panther]

no algebra books? :(

[dusk panther]

Why do both of these books cover so little content?

sounds like the opposite of what i would expect from "Precalculus made difficult"

[dusk wind]

true

but the issue with precalculus books are that they cover too much or too little

[dusk panther]

I would always prefer too much tbh

[dusk wind]

you might want much more than whats found in a single book... so go with what sour just dropped

[dusk panther]

I think i will go with his "Algebra and Trig" book, even if i die in the process of reading it.

[remote sparrow]

axler

[dusk wind]

needless suffering tbh

hmm well actually maybe youd like aops

they have a lot of books

[dusk panther]

My brain spends too much effort on "finding the perfect book", and too little on doing math

its almost like it wants to trick me

[dusk panther]

I have looked at them, i am not sure wether i like them or hate them.

[dusk wind]

not sure if there are any uni books better than whats posted around here

so ultimately its preference

[molten mason]

Just go through a book, any books, and the next book you read, skip the material you're comfortable with. Eventually you'll get everything you need without worrying about which textbook to use first.

[dusk panther]

okie dokie

[cunning elk]

aops intermediate algebra and precalc are probably pretty comprehensive

they cover a fair bit more than what you'd need for a standard precalculus sequence but that's for the better imo

[fleet solstice]

Any physical precalc textbook you guys would recommend?

[remote sparrow]

https://precalculus.axler.net

[sudden kindle]

didnt know axler had a precalc textbook

This makes me want to teach precalc

[mossy shell]

Beginners book on statistics?

[versed escarp]

"The cartoon guide to statistics" by gonick and smith

its pretty fascinsating

anyways

[mossy shell]

Thanks

[dusk wind]

those images in axlers book are really over the top

did the publisher force them to make it like that

the later chapters are really good, along with solutions makes it a gem

it's filled with plenty of exercises

what is it with publishers using these crappy templates though

"Example" boxes take up damn near the entire page

[gray gazelle]

Hey guys, found John B Farleigh's abstract algebra book and got it, what do you think of it?

[gray gazelle]

I looked at the latest edition of linear algebra done right and it honestly looks ugly

[dusk wind]

I'd use old books just to not be bombarded with rainbow colored ads in a learning experience

[gray gazelle]

Exactly

[gray gazelle]

Hey guys
What would be the best source to understand functions from basic till advance level?

[stray veldt]

i think you need to be more specific

understanding all kinds of functions is impossible