book-recommendations

[finite gale]

I think lang's basic mathematics book might be good as well if you want a more rigorous precalc book

But again idk what ib math is like, although I do remember upper level math in the ib program has linalg I think

[versed coral]

yea it has an hl thing and they see those i think

[dusk wind]

how much time do you have? you could pick up precalc then do linalg or calc books

if other precalc books aren't it then try serge lang basic mathematics or axler precalc

[versed coral]

imma start uni in sep - oct

i think imma go w precalc books then calc

ib is also great but most ppl suggests this way and i kinda trust them bc of their experiences

[untold eagle]

Any book for training with fractions ?

It's my main weakness for like many year so I wonder how I could train all the possible method of fractions (I mean x/y for example)

[tribal crow]

I think that most prealgebra books would suffice tbh

also uh, you may want to change the spoiler in your profile

[untold eagle]

Alr I will take a look thanks u

[finite gale]

neither claim is correct

oops ping

anyway im not going to bother with conversation on that

[tribal crow]

no worries

[maiden glen]

How do I start learning geometry? Do I begin with geometry taught in schools? Or do I begin with something else? I don't want to miss anything of elementary geometry, I want to know as much as I can.

[finite gale]

at least in the US, the way geometry is taught in high school (two column proofs) sucks

maybe you could try khan academy?

[maiden glen]

I'm in the US, but I'm self tutoring

[finite gale]

although maybe you could try to search through this channel as well

[maiden glen]

I have, it's not good enough for me because there are some gaps left in explanations and some information is vague

and I feel like I'm missing a lot of things and terms I need to know

[narrow prairie]

try the Elements by euclid

http://aleph0.clarku.edu/~djoyce/java/elements/elements.html

Here is a good annotated version

[tribal crow]

…do people really still read Euclid?

[remote vortex]

It probably hasn't aged well as a mathematical textbook, but as a historical document I should imagine it's still valuable.

[tribal crow]

I see

but I often witness people recommend it when someone asks for a source to learn geometry from

which I always thought was strange

surely there’s more recent texts that are as comprehensive right?

[gray gazelle]

I mean yeah, a more practical text would be Hartshorne’s book

Not Algebraic Geometry

Baby Hartshorne

[tribal crow]

I forgot he had that lmao

only thing I can think of when I hear hartshorne is his alg geo book

[gray gazelle]

I mean, it’s never too early to start on commutative algebra, but I’m guessing most high schoolers are more interested in euclid than grothendieck

[maiden glen]

I'm open to all suggestions

i asked a question in a channel amongst many people, one gave me a suggestion you both may not agree with but you don't give me a suggestion

[maiden glen]

What is "baby hartshorne"?

[tribal crow]

apologies for that, I actually don’t have any geometry suggestions lmao

[tribal crow]

I was just commenting on the practicality of reading Euclid in this day lol

[tribal crow]

Probably this

https://www.amazon.ca/Geometry-Euclid-Beyond-Robin-Hartshorne/dp/0387986502

[maiden glen]

thank you.

Now what about Grothendieck?

[maiden glen]

I'm talking about the guy you were talking to.

[gray gazelle]

Grothendieck was a reference to Algebraic Geometry lol, which is typically a graduate/research-level subject

[lusty escarp]

How do you all deal when errata is not available for math books?

[maiden glen]

well, I want to have a seemingly "perfect" knowledge of modern elementary and school "geometry", so I know im not missing anything. and from there I will continue

[tribal crow]

what do you intend to use that knowledge for?

or is it just recreation?

afaik, you don’t need a very strong grasp of Euclidean geometry to learn the rest of mathematics

[gray gazelle]

You’d need to learn a bunch of commutative algebra before studying AG anyway

[maiden glen]

so, what do I need?

[maiden glen]

hmm.

[gray gazelle]

Honestly, if you can do trig & know the pythagorean theorem, you’re mostly set

[maiden glen]

okay, but what about the relations between common school "algebra" and common school "geometry" concepts to model things in real life

such as using the pythagorean theorem for solving quadratics and similar polynomials

i want to know all of that, not just one way.

[gray gazelle]

You mean like pythagorean triples?

If that sort of thing (finding integer solutions to polynomial equations) interests you, you should look up number theory & diophantine geometry

[molten mason]

I'm very very bad at looking up errata honestly. I forget they exist.

[molten mason]

If you want to get really deep, There is Lectures on Euclidean Geometry by Paris Pamfilos, split into two volumes. ~1000 pages, 2000 figures, 1400 exercises

[maiden glen]

Thank you all

[maiden glen]

Is there a PDF?

[molten mason]

I can only legally answer that Springer provides a free PDF to university students. Any other answer than that would be against this server's rules.

[molten mason]

Also this specific question, you might find answers to that more in an olympiad or other math competition text. I'm not familiar with them enough to recommend anything though, but that would be a good place to start a search as well.

[maiden glen]

Ok.

[gilded notch]

legally lol

[maiden glen]

it's illegal in this server to recommend piracy I assume.

[gilded notch]

mathcord mods gonna swat ur home

[molten mason]

Yes and bannable

[tribal crow]

[maiden glen]

what about "Z-Library"?

[tribal crow]

uhhh

…let’s avoid having this convo, shall we?

use google if you want more info

[trail hemlock]

piracy = bad 🗣️ 🗣️ (DMCA has a gun to my head)

[maiden glen]

Sure thing

thank you, @molten mason for your help.

I can always count on baymax

[sleek python]

Don't worry since no one recommended it to you it's fine

[violet shuttle]

A whole lot of books are also legally available by the profs.

Example:
(removed, in case it was actually illegal)

[grave thorn]

sometimes it's not legal but they still post it to their website

[earnest wolf]

again, it's 'illegal' to distribute, not download

[violet shuttle]

removed to prevent getting banned

[earnest wolf]

anyway

[violet shuttle]

not to escape the clutches of the government.

[hallow oriole]

this depends on country for the record and also piracy discussion is not allowed to a pretty significant extent on the grounds that this is a discord partnered server and tos matters a lot

[earnest wolf]

this is a discord partnered server
wdum?
||I hope discussions about discussions of piracy (aka meta discussions) are not prohibited||

[oblique apex]

Hello, i've been learning trigonometry with this book: John Hornsby - A Graphical Approach to Algebra and Trigonometry
and i really liked it. I'm starting to learn calculus (currently i just started limits). Is there a book that is similar, but for calculus? My dumb brain needs as many visualizations and examples of applications as possible.

[molten mason]

I consider this legal, for personal reasons lmao

[proud oasis]

Hi, maybe someone can help me, I want to prepare to math entrance exam to university and im not sure, that I know all basics and all useful stuff, maybe someone know books or resurces for this situation?

[molten mason]

In the US it's illegal to download even for personal use.

[molten mason]

https://discord.com/partners

[molten mason]

I don't know that textbook, but the three big ones for Calculus that have a lot of visuals, examples, and applications are going to be one of the following authors: Stewart, Thomas, or Anton. Any edition is fine. They're all similiar.

[hallow oriole]

sadly i think they toe the line - for example a metadiscussion of the ethics of piracy might be a bit much

[oblique apex]

alrighty, thank you, i'll check them out

[dusk wind]

Is there a book on how to tell a bot from an npc

[violet shuttle]

idk ask an llm

[void gazelle]

What do you people think of Strang's Calculus book?

[fervent mist]

Hello, I'm studying real numbers axiomatically and inductive sets. Could someone please recommend me books for practicing exercises on absolute value, induction, and the well-ordering principle? I've already worked through Bartle's exercises. Thank you in advance

[torn crypt]

Profs wildin

[gray gazelle]

hey, i asked my maths teacher if my algebra and overall skills would be good enough to study number theory and he said yes, so which book do you guys recommend for me to get started with it?

[remote sparrow]

#book-recommendations message

[gray gazelle]

sweet, thanks a lot!!

[tawny copper]

Paul Loya "Amazing and aesthetic aspects of analysis"

like from chapter 5 onwards

You get to prove cool identities like

[earnest wolf]

isn't the author's real name Ramanujan? 😅 (going by the identity alone)

thanks tho!

[gray gazelle]

I started learning probability and statistics from John N. Tsitsiklis' Introduction to Probability. Which book should I refer to after finishing this book? (About more advanced probability)

[median fossil]

I'd probably just go to sequences of functions really. It's used for most of the fun and important stuff. Including complex analysis and measure theory (or more like the application of measure theory to analysis is integrals of sequences of functions)

[violet shuttle]

Kallenberg

[earnest wolf]

by the way, is Shabat's book on complex anal good?

The prof recommended it but I didn't see anyone recommend it here nor on the internet in general

[earnest wolf]

my bad, «good» isn't universal
ok, say, what things did u like about it and dislike?

[rigid flint]

Does anyone know of any good resources about non-elementary integrals/functions?

[earnest wolf]

riemann integral?

u wanna compute stuff i assume?

[rigid flint]

Nah I want to know more about non-elementary integrals like e^x^2

[earnest wolf]

stuff like
$$
\int \sqrt{1-x^4} , dx
$$
?

[hasty eagle]

Sweet Tea 🧋

[rigid flint]

Yeah if that’s a non elementary integral.

I only know a few so I want to know more about them.

[earnest wolf]

sorry, can't recommend anything, bc I mostly used my uni's books (not available online) for the calculative stuff.
So I just clarified your question so others who know more can help u faster

[median fossil]

I liked the bits I read

[violet shuttle]

There are books on integration

[sudden kindle]

Let's fking gooo

[hallow oriole]

#book-recommendations message

to summarize: read inside interesting integrals and if you still like integration after that read valean's book

[gleaming sparrow]

Is there any book that teaches algebra? ( from the ground up )

And is super easy to understand

[hallow oriole]

artin algebra

starts w linalg

[heady ember]

Iirc Artin's lin alg is not that comprehensive. Not to say that's 'bad', but, you might need to learn more lin alg as you go on to learn more stuff.

[violet shuttle]

like lang, who starts from the groundup in Algebra

[pliant wadi]

Is there a short and crisp book like Herstein's topics for linear algebra? Something with short and clear exposition but really challenging problems that will really test your understanding?

[gray gazelle]

Thank you so much

[vital bane]

fun stuff like functional analysis

[vital bane]

elementary algebra like solving stuff like x^2 - 3x + 5? or abstract algebra like group/ring/field theory?

[ashen compass]

why can't I upload pirated books in this channel

can someone fix this

[vital bane]

you cant upload pirated books in any channel in any server not just this one

Because it's against discord TOS

[ashen compass]

my bad

why can't I upload documents related to math in this channel

(may or may not be pirated)

[vital bane]

[ashen compass]

anyway

[ashen compass]

dummit foote is the standard textbook

I got lecture notes I can give you also

[lime vessel]

Which algebra

[ashen compass]

homological

[gleaming sparrow]

Elementary.

[gleaming sparrow]

Elementary

[lime vessel]

Khan academy

[gleaming sparrow]

I mean, do they really help?

[ashen compass]

you don't need books for that

[gleaming sparrow]

I'm dumb

Any other sources?

[worthy oasis]

Need recommendation for first complex analysis book. Have done measure theory and functional analysis, so not sure if that changes where I should start.

[gray gazelle]

How could discord differentiate between pirated book files and normal book files given by the author?

I am pro-piracy though

[vital bane]

using these nifty little AIs called "moderators"

[vital bane]

Have you tried it?

[gleaming sparrow]

I've seen some of their videos on YouTube

[heady ember]

See Dami's CA book reviews in pinned. It may also be worth taking a look at Saeed Zakeri's book, which Yamin shills.

[vital bane]

https://www.khanacademy.org/math/algebra

you'll love it

[gleaming sparrow]

Thanks for linking the source mate!

[vital bane]

that person having done MT and FA, these two might be good ones for them

"Narasimhan: Faster and more sophisticated, takes a topological viewpoint from the start. You should prob know some measure theory and a bit of functional analysis going in, but if you do this is probably the best.

Schlag: Written for the third quarter of graduate analysis at Chicago, where students have to take a full year each of algebra, analysis, and topology/geometry. Thus, and due to the professor's own proclivities, it assumes a good bit of background and moves fast. The advantage is it does cover a lot of material, and emphasizes a geometric viewpoint."

froms Dami's pinned message

[heady ember]

Why did you ping me

[vital bane]

these two sound interesting

[vital bane]

no idea

[heady ember]

neam moment

[gray gazelle]

There’s no real way to distinguish such thing

Both pdf files are identical

Explain the process behind you claim too

There’s no real way for a company to prevent piracy

[vital bane]

game DRM moment

[gray gazelle]

We’re talking about books here

Also answer #book-recommendations message

There’s no pdf DRM either

[vital bane]

"I have discovered a truly marvelous process for this, which this margin is too narrow to contain."

[earnest wolf]

what video lectures can i use that cover similar topics as lee's manifolds book?

[gray gazelle]

Ferret’s last theorem or something

[earnest wolf]

including the first chapters that are an introduction to topology

[vital bane]

I quite like this

https://www.youtube.com/playlist?list=PLRlVmXqzHjUQHEx63ZFxV-0Ortgf-rpJo

[earnest wolf]

thank ya!

[remote ginkgo]

I am currently making some

It's part of a reading group at my uni

Mind if I DM you?

[drowsy thicket]

How is it?

[earnest wolf]

sure! 🫠

[molten mason]

Based

[white pollen]

Would Halmos followed by Jech’s Set Theory be a good sequence for learning set theory?

[remote sparrow]

hoffman kunze

[remote sparrow]

there are many good references. early graduate courses in complex analysis generally only assume real analysis background. check pins for some suggestions. gamelin is probably a bit too soft though. marshall is a good choice that's not in pins. that book starts with power series. greene and krantz is another popular choice. some people really like Complex Made Simple by ullrich

[remote sparrow]

no

you should learn from a book like enderton, goldrei, or hrbacek and jech first and pick up a book on basic mathematical logic such as enderton, leary and kristiansen, or mendelson before diving into jech

[vernal eagle]

How's aluffi's algebra book? I have already taken an algebra course.

wanted to learn category Theory

[vital bane]

Jech also has an introductory set theory book apart from the graduate one

they may be refering to that?

idk

[remote sparrow]

i just mentioned it

also the person said jech's Set Theory in capital letters

[vital bane]

does the intro book use lower case?

[remote sparrow]

which is for sure not hrbacek & jech

it's capitalized because that's the title they had in mind

[solemn elm]

I need to study eucledian geometry. I need to remember it because I forgot most of it. What should I do?

[rain crescent]

Personally, I hate KhanAcademy's videos Too much yappin for my blood. His videos come across as "I'm your buddy and math is cool!" and I'd rather have a cold heartless math instructor 😆 Only problem is, the only place I've found that can do that is MathHelp.com and they cost $40 a month 😬 Which puts them well out of reach for most people I'd imagine. Example video.
KhanAcademy does have the best quizzes and tests I've been able to find 👍 So, if I'm using online sources I usually learn at MathHelp and then do quizzes at KhanAcademy.

[gleaming sparrow]

Their quizzes are some of the best out there, they really help you hone your base.

[finite gale]

People out here spending a textbook worth amount of money per month I guess

[drowsy thicket]

Though I heard about some people learning Algebra out of Lang

Also some courses use it

[pliant wadi]

Wait isn't it missing Quotient spaces for the most part?

Or so I heard

[remote sparrow]

no such thing as a perfect book

[sand path]

Sour Drop you should write a math text

[modern depot]

could someone suggest a book in undergraduate level statistic and probability book. I have a book but it does not have enough questions to pratice.

[molten mason]

I'm going through it right now, a couple of people in this server are or have as well.

[drowsy thicket]

Are you doing the exercises too?

[molten mason]

Chapter 0 is recommended a lot in here, especially as a second course. I've heard it has a a category theory approach.

Cat theory best theory

[molten mason]

Please don't ask me emotionally triggering questions

No but for real, I'm not in a rush and taking my time with it. I've read a few chapters but exercise wise I'm still finishing up Chapter 2. Goal is to finish 100% of the exercises eventually.

[drowsy thicket]

100% probably won't work

There is one that is still unsolved

(Or was unsolved 2 years ago or so)

Another one is to pick up a book on homological algebra and prove every theorem without looking at the proofs

Not sure if you want to do that

Maybe then your goal will be solving everything except those two

[molten mason]

His Complex Analysis has the Riemann Hypothesis as an exercise lmao

[molten mason]

Baby steps lmao

[drowsy thicket]

Imagine someone "accidentally" solving these, not knowing about them

and then just continuing on because they don't know what they just proved

[molten mason]

I could see my dumbass doing that, solving it through sheer obsession to do the exercises, but not realizing the implications and moving on in my life

George Dantzig did that

[drowsy thicket]

Yeah, with that homework problem

[molten mason]

Two of them

@drowsy thicket have you gone through Lang or were you thinking about it?

[drowsy thicket]

I have it, so I will in the future, but currently I'm doing LA

[remote sparrow]

what is the book you are using right now

[molten mason]

His LA book is pretty good.

I was going to go through Lang's Introduction to LA and I jumped ahead to his Linear Algebra on accident lmao I read through it without doing the exercises and I didn't feel lost or anything, it felt well written. Need to go back and do the exercises but don't have time.

[drowsy thicket]

Ah, I'm not using his book on it

Just my lecture notes

[molten mason]

Fair enough

[rain crescent]

And buying books on top of it 🥰 I bought OpenStax's prealgebra earlier this week, going to buy Algebra when I get paid. "Math Overboard" part 1 just arrived a couple hours ago. I got Dressler's preliminary mathematics this week as well and I have the AOPS prealgebra and algebra books 🤣 Think I'm good on prealgebra and algebra now though, will probably buy a bunch of Trig books next 😍

[white pollen]

So, Halmos, a logic book, sone intermediate set theory, and then Jech? Is there a reason the latter is described as introductory? Does the book just have a difficulty curve or is there prerequisite information in the books you mentioned that would help with Jech? Thanks for what you already told me.

[remote sparrow]

don't learn from halmos

if you want to go to jech next

halmos is a perfectly fine book but it won't even remotely prepare you for jech

learn from enderton, goldrei, or hrbacek and jech

[rain crescent]

I thought you misspelled hrbacek but nope, that's how you spell it 😆

[molten mason]

I mean Halmos is pretty quick, only like 100 pages, and they're small pages. Easily get through it in a few hours. Not this big of a loss/gain either way, but it really is just a quick intro. I'm halfway through Enderton right now, my route is Halmos -> Enderton -> Part 1 and portions of Part 2 of Jech's Set Theory personally, although that doesn't mean it's the correct or most efficient way. I'm sure I have gaps in my knowledge but *I really don't care about set theory that much, sorry *

Sour Drop can correct me if I'm wrong, but Introduction to Set Theory by Hrbáček and Jech is a senior-undergraduate level text or intro-graduate level text. It's intro level like Enderton but covers a little more. Set Theory by Jech is definitely a graduate level text, and is like a Bible on Set Theory. It's comprehensive and, possibly part 2, but especially part 3, is more for those doing wanting to do research in Set Theory.

When talking about Jech it's best to say the full exact title of which book you mean, so we don't all get confused. Many authors have books at different levels. Also it's best to let us know what your current math background is and why you want to learn set theory. That also clears up a lot of confusion and can help give you a better answer.

[remote sparrow]

if you don't care about set theory then you don't need to read anything beyond enderton

[molten mason]

Yes I do

I know I don't need to, but it's a personal choice, it's pains me to say, but I want to.

I want to learn more about large cardinals and forcing

[remote sparrow]

you need exposure to predicate logic

[molten mason]

I have that

[remote sparrow]

from which book?

[white pollen]

So what I'm thinking is Halmos to crease the brain juice, then an introductory logic text for variety and utility, then Enderton, and I'll figure it out from there.

Thank you, @molten mason and @remote sparrow .

Before either of those, I'm actually working through Tao's Analysis and Axler's Linear Algebra Done Right, so I'll be occupied a while.

Especially since I like doing all the exercises. I feel like I'm making an answer key for each book.

[remote sparrow]

there's a guy that's on here that actually wrote a solutions manual to abbott

name's ulirocks

https://github.com/UlisseMini/understanding-analysis-solutions?tab=readme-ov-file

[molten mason]

Oh I have no idea, I took a logic class freshman year that introduced into it then I did two semesters of Prolog. I've popped into Enderton's logic book a few times but I haven't stayed too long in there. That said I'm not a logic expert by any means.

[white pollen]

Imma do that, but in pen, so it's incomprehensible to anyone but myself.

Are answer keys to these books things people want?

[remote sparrow]

two semesters of prolog? was this a logic for computer science type deal? that can be good enough if i know what the syllabus is

[remote sparrow]

well it'd be nice

[white pollen]

Noted.

[remote sparrow]

do you know how to use latex?

[white pollen]

Yeah.

[remote sparrow]

👍

[white pollen]

I can't do the tix graphics stuff, but anything else is fine.

[remote sparrow]

i'm sure most answers don't require tikz

although it is possible to add hand-drawn figures by downloading a package that lets you upload images

[molten mason]

Basically, I don't even remember the syllabus

My first degree is in Linguistics, it's a multi-semester series on computational linguistics. First semester is pure Prolog, second is Prolog and Python, I didn't take the third semester class.

[earnest wolf]

@junior merlin, I can't put it into words how thankful I am for the job you did

Like, it's hard to learn when you have no feedback and your solutions provided exactly that

Thank you! 🌿✨

(finished abbott a while ago)

[molten mason]

The answer key to LADR 3rd edition is here:
https://quizlet.com/explanations/textbook-solutions/linear-algebra-done-right-3rd-edition-9783319110790

The 4th edition is way too new to have an answer key out yet.

Abbot's analysis answers are also on Quizlet, however Tao's is not.

Quizlet Plus is $8/mo and has answers with explanations/walkthrough for a vast amount of math textbooks.

[white pollen]

There's just, like, complete answer keys?

Interesting. I'll stay away, since I always have professors to ask, but I'm glad resources exist for those not in academic environments, are self-studying, etc.

[white pollen]

Hmm.

Nice.

[heady ember]

If you can understand the (set theory and) logic from Kunen's The Foundations of Mathematics, you're probably set to read his Set Theory book.

[maiden glen]

I need some really long and great mathematical logic texts, can someone suggest anything?

[heady ember]

See Clerk's recs in pinned

[maiden glen]

thank you

[hallow oriole]

eric likes mileti iirc

(might be a second course?) (unsure)

[maiden glen]

sorry, can you type what you were suggesting again? i can barely understand what you just typed.

[hallow oriole]

eric (a moderator on this server) likes the book "A Mathematical Introduction to Mathematical Logic" by joseph mileti, if i remember correctly

https://mileti.math.grinnell.edu/MathematicalLogic.pdf

[maiden glen]

Thank you, that is much better.

[gray gazelle]

Mileti is viable for a first course

Prereq is a first course in algebra

[heady ember]

Some like the book by Wolfgang Rautenberg

[maiden glen]

pdf?

[heady ember]

but its not an easy book, from what I have heard.

[maiden glen]

i dont care, i need it, give me it, please.

[hallow oriole]

https://www.mi.fu-berlin.de/archive/raut/logic3/announce.pdf

[heady ember]

Just find the pdf yourself. Pirated content is prohibited on this server.

[maiden glen]

thank youuuu

so muchhh

[torn crypt]

I’ve not read it but the topics listed in the contents are good I think

[hallow oriole]

it's sharp approved too, book's good

[torn crypt]

I am a goober tho

[heady ember]

Hi Sharpie

[remote sparrow]

i have a copy of the book; it's a first course.

[worthy oasis]

Didn’t understand that last part “Yamin shills”

[sudden kindle]

Me

I shill

[molten mason]

A user in this discord, Ptyamin, was going through that class, taught by Zakeri, when Zakeri was writing the book. Ptyamin recommends it.

[molten mason]

Shill so hard

[sudden kindle]

He had already wrote it when I was taking the course. It was going to be published sometime halfway thru the semester so he gave us pdfs of the chapters but told us not to share them

[molten mason]

Close enough

[austere hill]

tbh we dream of space is a pretty good book imo

its like a 6th or 7th grade book but its 10/10 imo

[tribal crow]

huh.

so I did a quick search of it

and it's about Challenger

hmm

interesting

I actually quite like the cover art too

thanks for sharing!

[snow gate]

wait, didn't challenger explode?

[pliant wadi]

Fair. Thanks.

[molten mason]

Yeah about 40 years ago

[tribal crow]

1986 is almost 40 years ago...

wow

[modern depot]

Introduction to probability and statistic for engineers and scientists by Sheldon M. Ross, 3rd edition

[manic cairn]

https://www.amazon.com/Body-Language-Bible-Gestures-Expressions/dp/0091922119

[hallow oriole]

seems like the psychological equivalent of crankery

[manic cairn]

it's a clickbaity subtitle for sure

and i know the daily mail is one of the positive reviews

but this has actually been really helpful for me understanding facial expressions

some of the reviews are complaining about the book only saying the obvious

but as someone with autism it's been really helpful

[hallow oriole]

oh, fair enough actually

didn't think abt it from that standpoint!

[manic cairn]

i think the biggest revelation was that people "groom" their partners to signal a relationship.
picking lint out of clothing and things. it blew my mind, because when i started looking for it,
it was so clearly there.

or that if you never break eye contact when talking, it can look bad

or not to look at doors because it makes people think you want to leave

[heady ember]

I do that all the time

In fact, I often close my eyes when talking to focus on talking

which helps me reduce stutters

[left falcon]

are there any books that define rational numbers in terms of equivalence classes

my professor uses different way of constructing real numbers from rudin and I need some reference

[remote sparrow]

https://stat110.net

btw ross is just probability

[heady ember]

Enderton's Elements of Set Theory

[novel hound]

Mendelson, or Bloch. Tao might have it too, not sure.

[remote sparrow]

Elements of Set Theory by Herbert Enderton
Classic Set Theory by Derek Goldrei
Number Systems: A Path into Rigorous Mathematics by Anthony Kay
Number Systems and the Foundations of Analysis by Elliott Mendelson
Number Systems: An Introduction to Algebra and Analysis by Sergei Ovchinnikov

[violet shuttle]

...i think most people do this because they like touching their partners and fussing over them

sure, there's signalling components, but from the giving end here i think it's mostly not signalling from the inside

[violet shuttle]

Lang - see "Localization" in the ring theory section

(ok but seriously why not try the general construction if you are reading Rudin - it's literally just the special case with elements taken in a ring)

[manic cairn]

i assume they aren't thinking "hmm, i should do this to signal something".
it just happens to signal something.

[sorry for ghost ping, meant for a line break]

[violet shuttle]

okay but that's true of basically all human behavior

[modern depot]

I am looking for theory. I want questions to practice

[remote sparrow]

there are questions to practice

there is also theory appropriate to the level you are studying at right now too

[modern depot]

ok

[remote sparrow]

Mathematical Statistics with Applications by wackerly, mendenhall, and scheaffer also has probability content

[verbal gull]

Hi! What kind of books are good for practicing algebra? I want problems with solutions

[vital bane]

I will rec one book

Very well written

I am reading it rn

super interesting and helpful too

[molten mason]

You know it's funny reading your comment, because I guess by "partner" it could be a relationship already. I gave more emphasis to "to signal a relationship", meaning when a girl (or I guess anyone) is interested in you, she'll start making physical contact, fixing your hair, straighting your shirt, etc.

Either way I think sergeembedding's point is a lot of this is known/assumed/implied for neurotypical people and not for autistics.

[heady ember]

solution: watch some anime

[molten mason]

<@&268886789983436800>

[stray veldt]

hm?

[molten mason]

They've since been banned.

Although this is hilarious

[outer obsidian]

Not exactly a book recommendation, but does anyone know either a good problem set, or list of exercises inside the book, acconpanying Ahlfors's Complex Analysis? I feel like some exercises are really good but there are a lot of them and I don't really have the time to go through all of them...

[remote sparrow]

@marble solar

[marble solar]

This is from my First quarter grad complex many moons ago

Lemme get the second quarter grad complex

[marble solar]

I posted my HW from my class where we used Ahlfors

We skipped the Topology stuff because, and I quote "There doesn't exist a graduate level student at UCLA that doesn't already know all the point-set topology they need"

[outer obsidian]

Oh, thanks so much!

[marble solar]

The fourth homework in the second picture is from Marshall's Complex, that's just fancy Riemann Surface/greens problem stuff

[earnest wolf]

whut

[gray gazelle]

Poker is cool

[rain crescent]

I thought I would be ok with used books. "I won't mind a bit of writing" I said.
1 flaming eraser later
Narrator: "He did in fact mind a bit of writing"
😆

[violet shuttle]

Is there an algebraic number theory textbook that also covers elliptic curves? Or would it be better to get one for each? Also, recommendations for textbooks on those, and analytic number theory?

[tribal crow]

on analytic number theory, @wicked fractal is probably the best to ask

[violet shuttle]

my current list:
Algebraic Number Theory by Neukirch
Introduction to Analytic Number Theory by Apostol
The Arithmetic of Elliptic Curves by Silverman
Rational Points on Elliptic Curves by Silverman and Tate, which may or may not be something I should skip in lieu of the preceding book by Silverman.

[wicked fractal]

Elliptic curves can be more algebraic

it can be analytic but it's mostly algebra imo

[violet shuttle]

any analytic number theory textbook recommendations? or is Apostol the way?

[wicked fractal]

Apostol is the way for a starter pack

then diverge to montogomery and other stuff if you want

[violet shuttle]

Alrighty. Any for elliiptic curves?

[wicked fractal]

If you want something dense then I recommend "The Distribution of Prime Numbers" by Dimitris

Any is fine I think for elliptic

I don't have preferences

eh prolly silverman is the way to go I think

[violet shuttle]

Which?

[wicked fractal]

https://books.google.ca/books?id=mAJei2-JcE4C&redir_esc=y

[violet shuttle]

Alright, how does that differ from https://link.springer.com/book/10.1007/978-0-387-09494-6 ?

[wicked fractal]

UG vs grad?

[violet shuttle]

Does the former assume more prereq knowledge, or is it just denser and maturer?

[left cloud]

i have those

[wicked fractal]

Go with rational points then do arithmetic

rational then arithmetic then maybe this

https://books.google.ca/books?id=dnZ0Vdo-7BsC&redir_esc=y

I haven't read this yet

[violet shuttle]

what's your rationale? what do you think, @left cloud

[left cloud]

idk never read the arithmetic one

[wicked fractal]

All of them are silverman

[marble solar]

I'm actually a big fan of Stein and Shakarchi Volumes 1 & 2 for some intro analytic number theory. The last two chapters cover Dirichlet's theorem, and in volume 2, it covers the Prime Number Theorem

[wicked fractal]

What stein covers that apostol doesn't?

wait let me see

[marble solar]

I think there are topics in volume 2 of S&S not covered, but the overall approach is slightly more readable than Apostol's

[wicked fractal]

Apostol is very readable in some chapters and very unreadable in some chapters

[marble solar]

When I did analytic NT we used the first two volumes of S&S, and apostol as a back-up

[wicked fractal]

I just sticked with Apostol till the end

Then tried different things

[marble solar]

I recently did a final presentation on Fractal bullshit connections to Analytic NT

[wicked fractal]

I tried this a while ago https://dms.umontreal.ca/~koukoulo/documents/publications/primes.pdf

The author is crazy

It's a good overview but I recommend Murty books for better understanding

[marble solar]

http://www.math.byu.edu/~nick/ucla/205a/205a-notes.pdf

This is actually pretty good as well

[wicked fractal]

Zero free regions are really important

based

[torn crypt]

How bad is crazy

[wicked fractal]

very

[torn crypt]

I meant like, what do you mean crazy

Is it just a strange writing, or as in crazy hard

[wicked fractal]

a mixture of both

[torn crypt]

Ominous

It will be noted down as a book for possible reference

[wicked fractal]

Dimitris would be proud

[gusty orbit]

Any books on the philosophy of mathematics? I need an advanced book

[remote sparrow]

#book-recommendations message

[gusty orbit]

Thanks

[gray gazelle]

Thoughts on Zakeri’s A Course in Complex Analysis?

[remote sparrow]

@sudden kindle

[sudden kindle]

Best CA book on the planet

Don't ask me for justification

Just read it

[gray gazelle]

Will do, thanks!

[tidal jacinth]

I want to get a good O-Level Math book for my daughter, any recommendation?

[violet shuttle]

...O-level?

[trail hemlock]

i assume that is Cambridge o level exam?

[tidal jacinth]

Yeah, it is Cambridge O-Level

[trail hemlock]

i think any geometry and algebra textbooks will be alright.
also found this: https://www.amazon.com/dp/1316506444/ref=olp-opf-redir?aod=1&condition=new
but the o-level paper i looked at seems like any run of the mill Algebra and Geometry textbooks will be alright.
maybe try the mcgraw-hill Algebra II and Geometry "Review and Workbook" books

[regal arch]

Hello
Can anyone suggest me a good Mathematics book on all the concepts of Mathematics.

I am from India

Please suggest books that are available here.

[gray gazelle]

on ALL the concepts ?

[violet shuttle]

most books are also available in India, thanks to this nifty thing called the Internet and printers and global shipping

[trail hemlock]

indian book markets are the most broken thing of all time

holy shit

they have EVERYTHING

[regal arch]

Please tell then

Some good maths books that cover all the concepts of maths

Number System to big concepts like Calculus etc

[molten mason]

This 24-page catalog should cover as close to all as you will need.

https://www.springer.com/series/666/books

When done with that, this 7 page catalog is a next step.

https://www.springer.com/series/136/books

[molten mason]

If you have something more specific than that, let us know.

[regal arch]

Thanks

[violet shuttle]

for more advanced stuff, try https://arXiv.org/

(admittedly not in book form)

[tough egret]

I’ve heard good things about Lang’s Basic Mathematics, that could be a good starting point for you depending on your level of knowledge

Now, given that some books on “basic” topics like number theory, linear algebra, real analysis or group theory easily exceed 400 pages, a book covering all topics in, say, or undergrad math would be unreadable for a beginner

There is a book that does just that, called The Math You Need by T. Mack

[violet shuttle]

is it unreadable

[tough egret]

It compiles all of undergrad math in a bit under 500 pages. It’s a good reference book if you’ve already learned about the topics treated

[tough egret]

Yeah, that’s my point

[violet shuttle]

yup, unsurprised

it's a copy of

[tough egret]

500 pages of Bourbakist hieroglyphs

[tough egret]

Well if you forgot about the proof of some theorem, it’s a good source to check and remember it from

[violet shuttle]

oh, don't worry, if I can't find it I can try pulling up the third edition of Introduction to That Thing

[tough egret]

If I were forced to learn, say, complex analysis or probability theory from it, I would be crying

[tough egret]

AP calculus 1 - an approach using topological spaces

[violet shuttle]

would be better than some treatments tbh

[tough egret]

[gray gazelle]

why dont you watch some lectures along with books? Its better since you will understand stuff quicker plus you can read books for proper rigour and you will reach your desired field quickly

[gray gazelle]

anyone have any book recommendations for coordinate geometry (cartesian)
i just need a book with good theory

[gray gazelle]

Is A friendly introduction to number theory by Silverman appropriate for a high school student? It's about $70 so i wanna make sure before i decide to buy it

[livid crystal]

Hey, I have to write a technical paper about unsolvable problems and I have to include some self work (that is quite hard with this topic) and present suitably why these problems are unsolved till now etc... Does anybody know a good book that tells a lot about this topic?
Maybe some failed solve-approaches or something idk.
It would be nice if someone could recommend a book about it. Ps. It can be very complex and preferably in German 🙂

[sudden kindle]

Don't know about that book. But you can surely find equivalent books for free online

Also the book is available for free on Silverman's webpage

[heady ember]

Look in the right places and a lot of things can be found for free

[gray gazelle]

True, but the ones I've stumbled across are made for undergraduates or require you to know how to write proofs, which I'm clueless about

Interesting

[ocean mulch]

which topic is this?

[sudden kindle]

Oh I see, only chapter 1-6 and 21 are available on his webapge

And there are some online only chapters (47-50 + appendices)

[ocean mulch]

there are uncountably many unsolved problems

[sudden kindle]

I see

I like the book Learning Modern Algebra by Al Cuoco and Joseph Rotman. Its about the same price if you buy it new

[livid crystal]

Unsolvable problems... Millennial problems etc. A very vague and big topic. Or maybe a book about proving stuff, or missproving

[sudden kindle]

But only $20 used from Amazon

[livid crystal]

I just have to show somehow that it is very hard to prove theses, as them

[ocean mulch]

what's your background?

there are some books on RH, some more on Navier iirc, some on Langlands, but they will be useless if you don't understand anything

[sudden kindle]

You can also find the book for free online@gray gazelle

Silverman's book

[gray gazelle]

Yeahh thats what I've been trying to do so i could find resources for number theory and stuff

[gray gazelle]

Wait

Damn

[heady ember]

Richard Borcheds has a lecture series on number theory iirc

[sudden kindle]

Ill dm you

[gray gazelle]

Thanks

[sudden kindle]

Its my moral obligation to prevent high-schoolers from dropping $70 on math textbooks

[livid crystal]

I think I'm definitely interested in RH... Im in my second year of studying math

[molten mason]

Roughly in ascending order of difficulty:

• Popular
• Beiler, Recreations in the Theory of Numbers: The Queen of Mathematics Entertains
• Ogilvy & Anderson, Excursions in Number Theory
• High School
• Dudley, Elementary Number Theory
• Friedberg, An Adventurer's Guide to Number Theory
• LeVeque, Elementary Theory of Numbers
• College Non-Major
• Silverman, A Friendly Introduction to Number Theory
• Andrews, Number Theory
• Math Major
• Stein, Elementary Number Theory: Primes, Congruences, and Secrets
• Jones & Jones, Elementary Number Theory
• LeVeque, Fundamentals of Number Theory
• Niven, Zuckerman, & Montgomery, An Introduction to the Theory of Numbers
• Apostol, Introduction to Analytic Number Theory
• Graduate Student
• LeVeque, Topics in Number Theory, Volumes I and II
• Hardy & Wright, An Introduction to the Theory of Numbers
• Borevich & Shafarevich, Number Theory
• Ireland & Rosen, A Classical Introduction to Modern Number Theory
• Cohn, Advanced Number Theory

[austere jacinth]

related question; i'm doing elementary number theory by david burton and also following arthur engel

[molten mason]

Stein is free. There's the link there. But not high school level. The background required is math proofs and basic abstract algebra

[austere jacinth]

are they good enough for a high school level

[ocean mulch]

The only book I could remember now is The Riemann hypothesis : the greatest unsolved problem in mathematics by Sabbagh

I remember it was alright for a quick reading, but I don't remember how deep it was

but it does cover many approaches and history iirc, including an outline of de Branges' attempt

[novel hound]

Should put Burton on the NT list for high school - it's reasonably popular for intro I believe?

[austere jacinth]

Ok

[remote sparrow]

https://www.amazon.com/Introduction-Through-Number-Applied-Undergraduate/dp/1470470276

i mean, most number theory books are for undergraduates

but if you don't know how to write a proof but would rather jump right into number theory, you can look at this book

[austere jacinth]

im competing in olympiads

so im asking from that perspective

[austere jacinth]

alright thanks

is Principles and Techniques in Combinatorics by Chen Chuan-Chong good for olympiad prep

[pliant wadi]

Bruh you've looked through problems from all of these? Wow.

Any recs for lie algebras on matrix spaces?

[vital bane]

[pliant wadi]

As for my background, I have some proficiency dealing with Euclidean Spaces. I am currently taking complex analysis, measure theory and rings and modules.

I have no idea about lie algebras but I am looking for something as a sort of intro since I know we can look at Matrix spaces as R^(n^2) and I am a tad bit comfy with that, so I figure I can maybe take a dig at it?

Just exploring rn

[vital bane]

lie algebras...on matrix spaces?

[pliant wadi]

Like say, looking at Sln(R) as a manifold in Mn(R) seen as a topological space (a metric space to be exact). There's a group structure on the points of the manifold. Thus lie groups? I have a rough idea. And I'd like to explore more on this. That's why I am looking for a book.

It was part of an extended discussion I had with someone so I don't really have any document to refer to. I am just shooting in the dark atm.

[vital bane]

ahh okay lol

yk I've never really thought of it as a submanifold of Mn(R)

mostly thought of it as an abstract manifold

but you're right

I don't know about books but I can recommend a lecture series on lie groups to you

[pliant wadi]

Oh that'd be nice

[vital bane]

https://www.youtube.com/playlist?list=PLRlVmXqzHjURZO0fviJuyikvKlGS6rXrb

[pliant wadi]

Thanks

[gray gazelle]

hi everybody, does anybody have "Foundations of Statistics for Data Scientists" by Alan Agresti & Maria Kateri, as pdf ebook?

[lusty ermine]

which books do I need to understand exercises which uses a lot the concept of supremum infimum

how to get started?

[lusty ermine]

why does everyone love rudin's pma so much lmao

[lusty ermine]

interesting.

[civic python]

Its a classic

[remote sparrow]

<@&268886789983436800>

[zinc sundial]

what

[remote sparrow]

someone posted a link saying it had "taylor swift leaks"

but looks like you didn't delete it if you're asking

[earnest wolf]

check abbott?

basically all u need is the definition of it

[sullen copper]

Does anyone know of online courses offering real analysis this summer, ideally for-credit since they tend to be more rigorous? Looking for a mid-high undergrad level treatment to prep for grad school!

Also know this is book-recs, but thought this was in a similar vein

[lusty ermine]

which book has great goto definitions for order theory? undergrad

[lusty ermine]

thanks, cheer lad.

[lusty ermine]

I see, thx.

[remote sparrow]

https://www.amazon.com/dp/0521784514

[lusty ermine]

very very intersting, thanks

[gusty orbit]

@remote sparrow Do you know of any good books for beginners in classical logic and what content does it have? A summary

[remote sparrow]

https://www.logicmatters.net/tyl/

#book-recommendations message

look in pins as well

[remote sparrow]

this is a question you should ask your advisor/academic counselor

especially whether something would count for credit

wow, we're mutuals on darius mains

[junior merlin]

thanks!! you're very welcome, though some of the solutions are wrong :p

[gusty orbit]

Thanks

[spark sphinx]

sorry if this is prolly asked here alot but whats a good discrete math book? im a teen looking to start the rabbit hole of pure math

[remote sparrow]

#book-recommendations message

[slender wasp]

Chapter 8 in Spivak. Although probably need familiarity with stuff in chapters 5,6,7 too.

[torn crypt]

That Smith’s book is the embed thumbnail though

[shadow linden]

How good is Brian Hall’s Lie groups?

[magic spade]

Very good

[livid crystal]

Thx

[vale spindle]

I heard Infinite powers: How Calculus reveals the secrets of the universe by Steven Strogatz was a great calculus book.

anybody heard of it?

if so, let me know if it's worth a read... I just downloaded the pdf version of it

[austere jacinth]

ive read Infinite powers: The Story of Calculus - The Language of the Universe by Steven Stogatz

its good

[merry tiger]

Red rising

[gray gazelle]

<@&268886789983436800>

[spiral sky]

I'm looking for a book with a similar narrative/content to this youtube playlist https://www.youtube.com/watch?v=bWCfAboTSs8&list=PL7BFF10190F42006E

[restive pagoda]

Is the book Joy of x good and what's it about?

Also, any recommendations for high school student who want to learn something above the current level(parabola) could be anything from logic to number theory and recommend the book but nothing crazy like math degree level or something like that.

[vital bane]

Understanding Analysis by Stephen Abbott

[restive pagoda]

Thanks, I'll look into it.

[chrome yacht]

Bona's a Walk Through Combinatorics

[vital bane]

Also

"Concrete Mathematics" by Ronald Graham, Donald Knuth, and Oren Patashnik

[restive pagoda]

I have a doubt, which is better (content/price) Everything You Need to Ace Pre-Algebra and Algebra I in One Big Fat Notebook: 1 (Big Fat Notebooks) and Everything You Need to Ace Geometry in One Big Fat Notebook: 1 (Big Fat Notebooks) or basic mathematics by Serge Lang?

[gray gazelle]

Lang is almost certainly a better book

[prime oak]

what are good recs for an intro to functional analysis
ive done gentopo and some theory on normed spaces, but only very basic measure theory

[violet shuttle]

Conway

[vital bane]

from measure theory I think the convergence theorems are the most important

I dont know for sure

but they seem super important since now in fun anal you have to deal with convergence in function spaces

[prime oak]

if it would be easier to the required measure theory beforehand i could do that too

[vital bane]

and working with inner products (which are often defined using integrals)

[prime oak]

i see

[restive pagoda]

Is McMullen on algebra some good practice books?

[violet shuttle]

these furnish examples

e.g. the example of L^2

@prime oak you can still probably, say, understand almost all of at least the first chapter of Conway without knowing what a measure is.

Probably also the 2nd, but I haven't read it

[molten mason]

Lang covers a majority of all of those topics in a single text.

It covers Pre-Algebra -> Pre-Calculus.

It really only assumes knowledge of how to add/subtract fractions and decimals and then builds from there (quickly) to prepare for Calculus.

It doesn't fully cover each topic so you might have to go on YouTube or find something online if you want to learn more about anything, for example this is a free resource on trigonometry

https://mecmath.net/trig/

[restive pagoda]

But my question was, which has more useful content for the price? Take in mind that the notebooks cost 40€( together) and Lang 52€. Also thanks for telling me the contents of the book.

[molten mason]

I have all 3 of those texts.

The Everything you need to know books sre very basic. They have a few sentences of content. Then a few exercises per page. Its a very basic book, it's more like a review workbook. It very quickly glances over a topic. Gives you an example. A few problems. Then you move on to a new topic. Both books total are $20-$30

Basic Mathematics is an actual textbook. High school-early college level. Its very verbose with hundreds of examples and hundreds of exercises for $40. It also covers far more material such as trig, matrices, and a few others I can't think off the top of my head.

I don’t know your background or your future goal, but if you want to advance and suceed in math, *Basic Mathematics? Is far more worth the price.

[restive pagoda]

I'm in high school, currently learning about parabolas. But I'll get the basic mathematics then, thanks for helping me 👍

[molten mason]

Here is the exercises for the parabola section in Basic Mathematics

[restive pagoda]

Thanks, have you read the book "a mind for numbers"?

[molten mason]

No

[restive pagoda]

Okay, just wanted to know if it was a good book

[dusk wind]

my eyes

[molten mason]

[remote sparrow]

@fallow cypress the official pdf of Modern Mathematical Logic by mileti has now been uploaded to the web

[hallow oriole]

ooooh

is it the same link as the old pdf?

[remote sparrow]

no

[molten mason]

Like... the web

Or... the web

[remote sparrow]

i'm not sure, but on an unrelated note, i found this very informative wikipedia article: https://en.wikipedia.org/wiki/Shadow_library

[molten mason]

Very informative, thank you

[hallow oriole]

i unironically didnt know the name of them before which is embarassing considering my past

[paper ice]

It's missing the tor one

[violet shuttle]

Tor is not a shadow library. Do you mean a shadow library hosted on the "dark web"?

[paper ice]

ye

[hallow oriole]

there's more than one of those for the record and in a sense i'd argue it's actively harmful to propagate information abt those

[fallow cypress]

oh nice!

you mean... legally?

because he has a draft copy on his website iirc

[torn crypt]

If legally, post it :3

[hallow oriole]

also i couldn't find a 2024 version of it for the record

i found a late 2023 version

from dec 10

but couldn't find 2024

[fallow cypress]

If it's not available legally, we shouldn't discuss it here

[hallow oriole]

https://mileti.math.grinnell.edu/MathematicalLogic.pdf this is the publically available pdf

[hallow oriole]

i think it's available legally in the sense that you can buy a legal copy of it

[fallow cypress]

yea that's the one I learned from

❤️

[fallow cypress]

oh I meant the pdf sour drop was talking about

discussing the book is fine lol

[hallow oriole]

ohh yeah yeah fair

it looks like some of the topics in the mathematical background section have been expanded into portions of chapters

and here's the toc

[remote sparrow]

just informing people that they won't need to only rely on the draft copy, which could have some errors. also, maybe there's some formatting changes in the officially published edition.

[hallow oriole]

there's also 170 more pages!!

[molten mason]

2020

[rain stream]

Is Finite Dimensional Vector Spaces a good book?

[remote sparrow]

by halmos? there's a review in pins

[rain stream]

Thanks!

[old elk]

I just saw the video of the magician

[remote sparrow]

the math sorcerer?

[old elk]

yeh

[full pier]

hi guys, is it normal to not grasp concepts in baby rudin immediately, as i was having trouble following the construction of real numbers from the rationals and will probably have to spend an hour or few trying to grasp the ideas?

the book makes me feel stupid lmao but it is quite fun ngl

[daring lake]

you are not alone in that when working through Rudin (more like staring at it)

[full pier]

lmaoo, his proof of real numbers from rationals using cuts is so tedious i will have to draw it out to properly understand and visualise it

it only gets worse from here doesnt it 😭

[daring lake]

If this is your first brush with Analysis, it would be better to pick up a gentler book (like Abbott or Bartle). Rudin's PMA is very condensed. Though, a very good book. Just use Abbott or Bartle + Rudin (specifically attempt the exercises) and you should be good.

[daring lake]

Yeah I guess, 2nd chapter introduces topology

albeit mostly done over R and C, it might still be too much on its own

[full pier]

im just short on time ill have to cover chapters 1 to 5 and a bit of 7 from rudin i think for my course as i procrastinated and fell behind, my course uses content from spivak, i was told if i did rudin i would breeze through the course

[full pier]

ill definetly try and get through the frist and most of the second chapter by the end of next week

[daring lake]

Yeah one week should be plenty

[full pier]

thankyou haha wish me luck

[daring lake]

Good luck

[trail hemlock]

real 😭

i’m doing rudin as my intro to analysis too, best of luck 😭😭😭😭😭

[remote sparrow]

didn't you read spivak beforehand?

it's still hard, but it's not like you were just thrown into the deep end

[full pier]

facts same to you too, hopefully we will both get through it

[full pier]

no

[remote sparrow]

i was asking blackbeard

[full pier]

aight mb

[whole coral]

Best book for algebra 1 and 2, and if possible thatbit includes precal or calc

[glad rampart]

I’m not sure there’s a single book that covers all of that

[whole coral]

What about just algebra 1 and 2

[finite gale]

if you have not done algebra 1 yet, i don't think it makes much sense to be worrying about calc

[glad rampart]

AoPS introduction to algebra covers algebra 1 and a bit of algebra 2 but not all of 2

It’s what I used to teach myself algebra 1 personally

[finite gale]

im not sure how much lang's basic mathematics covers but it should cover a decent bit of stuff that is before calc

[glad rampart]

Very hard though

[whole coral]

I finished 1 and 2 but i wanna review it again just to be prepared for precal

[glad rampart]

Khan academy then?

It’s free

[whole coral]

Alr ill check it

[hearty turret]

is tao analysis good for beginners to real analysis?

[hallow oriole]

yep

[earnest wolf]

do urself a favour and read Abbott instead

I found Tao to be a good reference or an occasional read, but he has a habit of over explaining things (mostly in volume 1 tho)

[hallow oriole]

abbott is better^

[shadow hedge]

Hi which linear algebra book is better for a math major LADR by axler or Linear algebra by Friedberg

Based on the table of contents the Friedberg one has a lot more content

But most people recommend LADR

[torn crypt]

Why not cross reference between both

[shadow hedge]

I looked into it and they have different structure and also some notation is different so it might be hard to cross reference

[gray gazelle]

My personal recommendation would be LADR, but either would work well

LADR has a freely available pdf through the authors site btw

[shadow hedge]

Would I miss out on the extra content from the Friedberg one?

For example I saw the Friedberg one has chapters on Markov chains and something called canonical forms both of which are not present in LADR

[shadow hedge]

My library has both copies so that is not a problem

[gray gazelle]

LADR actually does cover canonical forms

Markov chains are not that important at this point, and you can learn about them in the future if you decide to study probability

In general, the extra stuff in Friedberg is somewhat tertiary to linear algebra

[shadow hedge]

Alright then I will go with LADR

thanks

[heady ember]

Most people here actually recommend FIS more, from my experience.

E.g. Ttera, Dami, etc

ryc too iirc

[daring lake]

I recommend Roman

[chrome yacht]

based, Greub is more fun to be honest 🙂

[austere jacinth]

thoughts on A Synopsis of Elementary Results in Pure and Applied Mathematics (Volume I)

by George S Carr

[gray gazelle]

What is FIS

[heady ember]

Friedberg Insel Spence

[tribal crow]

I’m absolutely an FIS shill

[gray gazelle]

Are there any numerical analysis books aimed at pure mathematicians?

[last bloom]

Any recommendations for an introductory textbook on measure theoretic probability?

[shadow hedge]

Is it because of the extra content or is there another reason?

[ashen compass]

https://services.math.duke.edu/~rtd/PTE/PTE5_011119.pdf

[remote sparrow]

is this your first time taking linear algebra?

will this be the only time you can take linear algebra?

[shadow hedge]

I took the course before but had to drop out

[shadow hedge]

Yes

[remote sparrow]

how much did you cover before you dropped?

[earnest wolf]

tho the last two are far more advanced for an intro

[remote sparrow]

you shouldn't read the anniversary edition of billingsley. it has a lot more typos than the third edition

[earnest wolf]

I think the first one was recommended to me by @remote sparrow semi-recently

[shadow hedge]

Until determinants and linear transformations

[remote sparrow]

okay, so you are already familiar with gaussian elimination? i would recommend axler then

[earnest wolf]

I wasn't 🤣
I just have it for cross reference or whatever. Too advanced for me at the moment (or it seemed so)

[shadow hedge]

Yeah

I am familiar with Gaussian elimination

[royal dove]

Good textbooks to learn graph theory from an introductory level?

[vital bane]

do 4th edition LADR

[chrome yacht]

Any of the books by Chartrand-Zhang

[misty marlin]

Can someone said a book to basic math

[stuck zephyr]

what kind of basic math exactly

[gray gazelle]

LADR is good

has pretty nice exercises

i was reading it for some lin alg revision

[gilded notch]

why is this a sticker

[stuck zephyr]

because it's basic

[gilded notch]

whats the best book to get to not be shit at probability and combinatorics any more

[hallow oriole]

intro to prob by blitzstein and hwang is something ive seen highly recommended

for combo bona's walk thru combo is good

[mossy flume]

I like Ross's a a first course in probability

[pliant wadi]

I know people who swear by Douglas B. West

[mossy flume]

I used one of West's unreleased texts for a combo course (The Art of Combinatorics Vol 1)

quite quite nice

never looked at his intro text

[graceful moon]

Wilsons graph theory (4th edition) is ok, Id hardly call it my favourite book but it does the job as an introduction and its quite easy to get through

I should also mention my main issues with Wilsons book are that he very occasionally tries to be funny and I dont think he is, but as a more serious complaint the chapter on Matching and Marriage is kinda a mess. The rest of the book is generally pretty solid though

[chrome abyss]

I’m really behind(incredibly behind) with my knowledge in differential equations, what’s a go-to book/source that can get me from start to qft level knowledge of DE
[1:33 PM]
Of course not right away, but I do plan to go through a whole book by fall

[remote sparrow]

how deep is this qft class in your academic career?

afaik you don't need more than what would be in a book like boyce and diprima for a first course in quantum mechanics

[chrome abyss]

just intrpductory at the moment, i just want to be extremely comfortable and experienced in DE, like enough to get through the basics of a grad level course

boye and dprima ok

[graceful moon]

Yeah Boyce is definitely a book, it will give you a solid base in DEs but it definitely won’t get you there quickly

[chrome abyss]

il grind it out and hope for the best

[earnest wolf]

I will also highly recommend Brualdi's book

@gilded notch

[ocean mulch]

combinatorics? There's always the bible by Engel

Problem-Solving Strategies

Though this is at somewhat advanced level

[earnest wolf]

didn't really like Mladenovic's 'Problem based approach in combinatorics' bc it was too formal and didn't explain much

[earnest wolf]

meant as a reply to this

[ocean mulch]

as for proba, it depends on what level you are talking about

[lofty mason]

theoretical probability is that a strain of mathematical study?

[remote sparrow]

yes

[lofty mason]

hm I have a question about something related to probability which is theortical but idk if that means its related to the actual study haha

[ocean mulch]

#probability-statistics

[remote sparrow]

#advanced-probability also exists

[misty marlin]

trigonometry

[misty marlin]

thanks for the help

[remote sparrow]

i don't think linear algebra done right would help you

he was responding to someone else i'm pretty sure

[misty marlin]

Oh

So I got confused

[gray gazelle]

Has anyone here done Prasolov?

[hearty turret]

is contemporary abstract algebra by gallian a good intro to abstract alg book? Planning to self study the subject rn

[molten mason]

97%

[maiden glen]

did you forget to DM me 🙁

[molten mason]

I straight up did yeah lmao, I'm going to DM you right now

[remote sparrow]

i think that's supposed to represent how much he's read

[molten mason]

Yeah he's so close lol

I wonder if it's just the index

[rancid hollow]

Whats the cheapest online bookstore

Need physical copy of real and complex analysis by rudin and amazon lists the cheapest used at $100

[vapid blade]

Any good books on complex analysis?
One of those subjects I'd like to dive deeper into

[tribal crow]

there's this post
#book-recommendations message

[vapid blade]

Thank you

[maiden glen]

may anyone suggest any good books for logical syntax? i.e. logical connectives, logical constants, well formed formulas, theorems, conditionals, quantifiers, etc

[digital harbor]

Mathematics books can in general have deceptive titles. This aphorism is particularly true for certain publishers of which Springer is one. The so called "yellow peril" books can be somewhat intimidating. Yes, Springer books tend to be excellent, but they are seldom pushovers.

[tribal crow]

lmao

[digital harbor]

We used that text in one of my graduate courses. As I recall, it is all about p-adics. You pretty much have to be in graduate school to read the first pages of the first chapter.

[tribal crow]

I know

[tribal crow]

I was referencing the "deceptive titles" part of your message

[rancid hollow]

yo royden is $10 y papa rudin 10x that

[digital harbor]

I thought that you were, and I was thinking especially about Serre's book when I posted my comment.

[tribal crow]

fascinating

I had the same thought when I read your message

my mind jumped to the same book

[digital harbor]

As I recall, we used First Course in Mathematical Logic by Suppes in my sophomore class on set theory and logic. Apparently, Dover has a paperback edition available for modest cost.

[maiden glen]

thank you

anything else?

[digital harbor]

Regardless, anyone interested in a copy of either "Lectures on Convex Geometry" GTM 286 by Hug and Weil or "Polytopes — Combinatorics and Computation" DMV 29 by Kalai and Ziegler?

As I recall, we used Ahlfors in a senior level course on complex analysis. It is fairly accessible. There are of course chapters on complex analysis in Ruden. "Complex Analysis" GTM 103 by Lang is appropriate for a first year graduate course.

[sage python]

Yeah it seems pretty reasonable, just a bit dated and as I recall it doesn't really section off theorems

Which makes it annoying to look stuff up in

[violet shuttle]

that's just because of historical reasons

due to what's available at my local library, what does chat think about husemoller's elliptic curves?

[twin dirge]

what kind of site is this?

[earnest wolf]

nah, it's nothing. It's just approximately where I closed it last time

[earnest wolf]

apple books

[remote sparrow]

#book-recommendations message

[gray gazelle]

What's a good rigorous book to learn discrete math?

[earnest wolf]

discrete math undergrad curriculum reeeeally differs from college to college

find out the topics you need first

like maybe some zfc stuff, or basic algorithms/data structures, or some combinatorics

[gray gazelle]

Nah I'm a physics major we don't really have discrete math in our curriculum afaik. I just want to learn it cause it seems interesting

[graceful moon]

Yeah discrete maths isn’t really a well defined thing, are you just interested in basic combinatorics?

[dark berry]

Any recommendation book about Discrete Mathematic?

[dreamy shuttle]

hey everyone. I want to make a bit of a weird request. Im currently in my second year computer science BSc and the way things are going right now i can see that this is a very demanding field. I love the work because it is very interesting. I want to try and plan ahead so i would please like to request, anyone who is willing, to please help me out with some past third year resources. Slowly i want to try and familiarize myself with the content now so that when i get there it will not be as hectic as i anticipate it will. Any assistance would be greatly appreciated.

[remote knoll]

@dreamy shuttle if you read the Art of Computer Science and MIT's wizard book you'll be well prepared for any computer science related questions

[gray gazelle]

Does anyone know of a nice proof-based ODEs book?

[remote knoll]

What level?

[gray gazelle]

Undergrad level

[vast hawk]

S.L Ross

[remote knoll]

https://www-users.cse.umn.edu/~scheel/teaching/8501-fall18/perko.pdf

[vast hawk]

M Braun is nice too

[gray gazelle]

Thanks!

[main hill]

Hello there - anybody could recommend some good books on the topic of functional analysis? And besides that about clifford algebras, dirac operator or operator theory in general?

[vital bane]

Arnold moment

[vital bane]

for clifford algebras you gotta talk to @fickle whale

[remote knoll]

@main hill Riesz-Nagy

For operator theory Banach

[main hill]

Thanks for really quick advice! My "if it will came to be" future phd supervisor asked me to know these topics if we would like to have continue this adventure

[fickle whale]

I might be able to help you

I have to go but I'll respond if I have the time

[nimble dragon]

can anyone recommend books for class 9 (India, CBSE)?

Really need it for a friend so if anyone can help me than you!

[gray gazelle]

get the NCERT and NCERT Exemplar for Maths and Science

for the rest of the subjects consult the school

[gray gazelle]

pretty much. I don't really know much about that side of maths

[molten mason]

At my university Discrete Math is a course only for CS majors. It's a mix of random topics pulled from math that CS people need without having to go through each individual math course. It's like combinatorics, number theory, logic/set theory, graph theory, abstract algebra, and couple of random discrete things.

If you want to learn it for CS reasons, definitely pick up a Discrete Math text, whatever everyone said above.

If you want to go in-depth into the math. Spend an extra year and pick up a book in each subject. There's smaller sized texts for each subject that aren't as rigorous as a pure-math major would use.

[upper plover]

But less fun.

(I am not sure of that; sometimes the rigor is stressful and depressing.)

[gray gazelle]

Thanks for the explanation. I'll try to go through the subjects separately then

[steel prairie]

Any good books or notes out there that have a section on dyadic numbers, intervals, cubes etc and their properties? I just went through two proofs that make use of dyadics: Urysohn's lemma and that any positive measurable function is the limit of increasing simple functions and I'd like to learn more. Edit: or even exercises related to the dyadics

[languid portal]

Is principles of mathematical analysis (Rudin) sufficient for undergrad level analysis or is there another book I should read afterwards?

[lost bobcat]

recommend me a book to learn calculus and liner algebra as a 10 grader

[karmic tangle]

Hello, I am ordering some books from springer and I put in a code that significantly reduced the price of the books

is there some catch to this?

[hallow oriole]

?

probably not

what code btw 🙋

[violet shuttle]

it's sufficient, do up to chapter 8

(past that, baby rudin is, according to one MAA review, bad, and you should get some grad anal book for them)

[languid portal]

Oh, I’m on chapter 10 and suffering rn

[violet shuttle]

...oh! try something else.

What does chapter 10 cover?

[languid portal]

Integration of differential forms

[violet shuttle]

...

[hearty turret]

from what i heard online, abbott analysis doesnt really go in depth into analysis is it

[violet shuttle]

try Lee's Introduction to Smooth Manifolds.

or Spivak's Calculus on Manifolds

...didn't even know that Rudin had the word "differential form"...

but, imo that's outside the scope of undergrad real analysis.

[languid portal]

Ah good to know

[violet shuttle]

I learned measure theory from a free online book called Real Analysis for Graduate Students. Not sure if I would recommend it, as while I liked it I think other books might be better? I hear good things about Tao and about Folland.

[languid portal]

Alright I’ll check those out

Thanks!

[trail hemlock]

spivaks calculus

[tribal crow]

spivak doesn’t even cover LA

[trail hemlock]

apostles calculus

[tribal crow]

and I would probably not recommend his book as a first intro lmao

[trail hemlock]

with an intro to linear algebra

[violet shuttle]

hmm...I think I read Shankar to get linear algebra in 10th grade, and got multivariable calculus from wikipedia and Paul's online math notes before that.

[trail hemlock]

it was my first 🤷‍♂️

[tribal crow]

It was mine too

[trail hemlock]

you never forgot your first

[tribal crow]

and I don’t recommend it lmao

[violet shuttle]

so, yeah, 10th grade! woot!

[trail hemlock]

idk i loved spivak

for the same reasons i like rudin

[tribal crow]

I do like his book, I just think the exercises are too darn hard as a first introduction lmao

that might just be me though

[karmic tangle]

HLT23

should be - 40 %XD

[hallow oriole]

oooh nice

yeah ur good man dw bt it

[karmic tangle]

already ordered so no going back

buying books feels so good

[remote knoll]

Certainly, it was considered The Book on analysis for a very long time.

Oh already answered, my b

[gray gazelle]

Book recommendations for 9th grade curriculum? last year we did quadratics, factoring trinomials

[glad rampart]

I will always shill AoPS but they’re very difficult so might not be the best for teaching a bunch of people at once

[sullen copper]

not entirely book related but semi self study related; has anyone taken UIUC's online Netmath classes, particularly their Real Analysis course? Had some questions

[remote sparrow]

well it's an introduction

[remote sparrow]

would you mind sharing the website where you found thsi code from?

[remote sparrow]

https://link.springer.com/shop/springernature/highlights-sale/en-us/

that's weird

why would a code for 2023 still be valid today?

[karmic tangle]

hmm no clue

[karmic tangle]

I googled "springer coupon code" and went to the first 2 sites

[remote sparrow]

springer is a bit notorious for leaving old springer sale webpages up

not sure why springer doesn't take them down but they always get prioritized in google searches which is annoying

[karmic tangle]

though the first one would keep sending me to some sites for the deals that got blocked by a chrome extension, not sure why (I didn't go through to them just in case though)

[chilly mulch]

Spivak Calculus is the single greatest book made :DDD

[trail hemlock]

rs

[dim sierra]

does it actually work when you go to pay for your order?

[dusky anvil]

guuuuuuuuys

i liked th city of ember and fahrenheit 451

what should i read next

heeelp

[full marsh]

Anyone please send the art of problem solving all books or links to download

[hallow oriole]

city of ember has more books

i forget exactly which they r bc i think i read that book in ele school

but there's more

[gray gazelle]

read 1984

Good book and its kinda simmilar

[tribal crow]

if you like dystopias, I recommend Huxley's Brave New World

[bright epoch]

I also reccomend BNW but not really to people who liked City of Ember and F451

it's pretty different from those two

[languid portal]

We by Yevgeny Zamyatin is another good dystopian classic (has a mathematical bent as well)

[dusky anvil]

thx guys

[violet hearth]

Guys, you got books on elliptic curves and modular forms ?

[violet shuttle]

Silverman was recommended to me for elliptic curves

[violet hearth]

U liked it ?

[sudden kindle]

There are many books

[tired rivet]

What level?

[violet hearth]

Never studied the subject

[sudden kindle]

For modular forms, I like anything written by Zagier. In particular, check out chapter 1 of the book 1-2-3 of modular forms by him

[gray gazelle]

hey, i've been wanting to learn measure theory for a while, and someone told me that i should study set theory and topology first

any recommendations on books for either set theory or topology?

[violet hearth]

Ty

[gray gazelle]

How does Grillet compare to Hungerford and/or Lang in terms of comprehensiveness and difficulty of exercises?

[violet hearth]

Guys, I don't get what's the thing with Ricci flow like is it diff geo ? Cause it's helped somehow on topology for pointcare's theorem (tf) so if you could help me and suggest some books to start studying it

[remote vortex]

Honestly I don't think you need much knowledge of set-theory and topology, these basics are enough to get going:

• proficiency with standard set operations (unions, intersections, differences, complements, cartesian products)
• knowledge what a countable set is and how to recognize them, and which set operations preserve countability
• knowledge what open/closed sets, limit points and continuity mean on the real line

A strong real-analysis course might cover this stuff

I think Axler's measure theory book is quite doable without having done entire set theory/topology courses

[gray gazelle]

Hello

I need a very gentle introduction to Point Set Topology

[violet hearth]

If u studied probabilities and riemann integral it will help you a lot

But i find that fckin useless cause they teach us plenty pf theorems with incomprehensible hypothesis and then introduce us measure theory which is way more understandable, french system is fcked up

[earnest wolf]

the first chapters of lee's book?

[gray gazelle]

which one?

[earnest wolf]

intro to manifolds

ow there is always mat327: https://www.math.toronto.edu/ivan/mat327/?resources

[gray gazelle]

isn't that a graduate text?

[remote vortex]

I think familiarity with Riemann integral is pretty much essential, but that should be covered in a real analysis course (which I definitely consider an absolutely required prerequisite for measure theory)

[remote vortex]

I think WIllard isn't bad

[earnest wolf]

i mean, it's called so
other than that, I'm reading it these days and it isn't that hard for a sophomore

(assuming a eu sophomore, ie proof based classes from day 1)

[gray gazelle]

okay

[earnest wolf]

in general, as many ppl commented here, 'grad' label on the cover doesn't mean it's hard

just that it covers grad level topics (as well)

[gray gazelle]

I see

[remote vortex]

Yeah, this

[gray gazelle]

the utorronto site looks neat too

perfect for what I need

I just wanted to look at some definitions and get a feel for it

[remote vortex]

Yeah, that site seems fine

[pliant wadi]

I don't know why but your question made me laugh

Anyways