book-recommendations

[visual delta]

Thank you for helping me save $105.00.

[umbral yoke]

has anyone used the book lie groups and lie algebras by Onishchik and Vinberg https://link.springer.com/book/10.1007/978-3-642-74334-4
I am debating if it is worth my time to work through in any amount of detail

also open to other suggestions for the theory of lie groups with an eye to algebraic groups

[dreamy stone]

Thanks

[civic hollow]

Yes

[remote sparrow]

https://old.maa.org/press/maa-reviews/a-tour-of-representation-theory

[remote sparrow]

https://www.rxddit.com/r/PracticalGuideToEvil/comments/1n86wr7/any_news_on_a_physical_copy/nccqtbl/

@glad rampart

[glad rampart]

thats pretty hype

im for sure gonna pick it up

[twilit pulsar]

Any recommendations for the Circle Method (in analytic number theory)

[sleek sparrow]

just reposting

[visual delta]

Refold is a better way to learn Spanish, so you should try that.

[sleek sparrow]

yeah i mean im trying to supplement a level mathematics

if you dont mind checkmy above post, i would. recommend it for context

[visual delta]

Well, you could read a book and do the problems at the end of the book. Sometimes I make up problems when I'm bored. One time I wanted to solve an integral, but I couldn't do it. I gave it to my teacher, and he eventually emailed me saying it could not be formulated in elementary functions. It was related to an elliptic integral. So, maybe making up random integrals to solve isn't the best idea. But, I think of solving math problems as kind of like a game. Maybe Khan Academy?

[sleek sparrow]

thanks for the recommendations. im aware of these, they're not what i was hoping to find though

[empty pivot]

anyone who read hartshone here?

[vital bane]

@daring wolf

[daring wolf]

bruh lmao

[chilly spruce]

is this book good?

https://www.ebay.com/p/211329247

[cunning elk]

AP edition

[chilly spruce]

ye i got it for 10 bucks

[visual delta]

Is there a book that assumes nothing except the axioms of ZFC and logical deduction rules and then proves everything else? So no stone is left unturned. Everything up until the 7 axioms describing the real numbers is proved.

The seven axioms being the 5 properties describing a field (commutativity, associativity, distributivity, the existence of an additive and multiplicative identity element, and the existence of an additive and multiplicative inverse provided that the number is non-zero), the order axiom, and the completeness axiom.

[visual delta]

I know, but I want to stop asking "Why?".

[violet shuttle]

you can try metamath!

or like actual foundations books, but theorem checkers sorta verify that this works

[gray jungle]

you can try Terry Tao's first analysis book, which also helps with learning proofs. Altho i'm not sure if he goes to the extreme you are hoping for, he does build the machinery from scratch

[violet shuttle]

doesn't go nearly to the requested extreme

[thin mason]

read the tao books then try to do this as a long live project

life*

[violet shuttle]

but like the main things are set theoretical stuff

[vital bane]

That's called a set theory book

[vital bane]

I don't think that ever stops

You can always ask "why" for every axiom

[heady ember]

Try Enderton's Elements of Set Theory. Or, if you're sufficiently mathematically mature, Hrbacek and Jech (not to confused with the graduate textbook written by Jech).

[boreal widget]

should i read both the art of problem solving prealgebra book and elementary algebra by sullivan struve and mazzarella or should i just read the elementary algebra book. I do want a solid foundation to build on but i dont want to be going over the same information over and over again and never move on
i was originally thinking of doing prealgebra through the AOPS book then doing the elementary algebra and the graphical approach to algebra and trigonometry by hornsby Lial and Rockswold but then i thought that seems redundant and unnecessary?

[empty pivot]

can i ask sth in dms ?

[exotic comet]

Recs for measure theoretic probability theory please

[foggy quest]

https://sites.math.duke.edu/~rtd/PTE/pte.html

[vital bane]

Based Re:Zero fan spotted

[foggy quest]

Not a fan, just a fan of Romanee Conti

[rich sun]

desu

[vital bane]

mq is a Re:Zero fan, peak

Oh you like algebra? Name every finite ring then

mfs naming clash of clan leagues instead of classifying finite rings

[rich sun]

clash of rings

[merry sphinx]

One ring to rule them all

[vital bane]

idk man it's been 10+ years since I last played that game

[gray gazelle]

[vital bane]

What the hell is a jee 🗣️ 🔥 🔥 🔥

I know, I'm from India

[crisp kestrel]

what resources would you guys recommend to get better at actually understanding math

[vital bane]

Understanding Analysis by Stephen Abbott

Topology by Munkres

Abstract Algebra by Dummit and Foote

Linear Algebra by Hoffman and Kunze

[crisp kestrel]

right i forgot to mention. not too advanced. end of high-school/pre-uni level. like basically prerequisite for uni level maths

[vital bane]

peak books

and Khan Academy

[timber mesa]

AOPS is a good rec for HS level yes

[crisp kestrel]

too many books. is it worth it?

[vital bane]

You can download it for free online

I think

[timber mesa]

I always shill https://richardhammack.github.io/BookOfProof/ but that's more like if you want to understand proofs in math

[crisp kestrel]

plus i've done aops in high school i just wanna do what's next. after aops

[gray gazelle]

atleast he recommended sources

[vital bane]

Understanding Analysis by Stephen Abbott

[timber mesa]

and the underlying set theory and logic

[gray gazelle]

also how you know he didnt read lol

[vital bane]

yeah! you tell him!

[crisp kestrel]

this seems really useful. tysm

[crisp kestrel]

okai

[timber mesa]

was really useful for me when I started a math major

[crisp kestrel]

thank you so much (: if you have any other suggestions please do tell. i need all the help i can get

[vital bane]

trust me you don't wanna live there with the amount of bodies I've got stored there

What?

[crisp kestrel]

it's stressing me out because i'm slowly failing at actually understanding math and i'm just using equations and doing answers and stuff

okay, i'll brush up on aops once and head to that

[vital bane]

Abbott also teaches you how to write proofs

You just gotta know some calculus

[crisp kestrel]

does abbot have good exercises or would you recommend any other resource for practice alongside that

[vital bane]

It has peak exercises

I would also recommend Rudin for exercises

(only for exercises)

[crisp kestrel]

which one? principles for mathematical analysis?

[vital bane]

Ye

Assume it doesn't, that's ridiculous, a contradiction.

Don't be like me, develop discipline first 😔🙏

[crisp kestrel]

true. i just need one book which has enough concepts. i can't go really go for too many. concepts and questions. if the books you guys have suggested are enough then that's what i'll go for

thank you so much

[crisp kestrel]

okaii

i'll take your word for it. thank you so much guys for your help. much appreciated!

[vital bane]

After Abbott, I'd recommend Hoffman and Kunze

[crisp kestrel]

okay. i'll check it out 😄

[oblique hatch]

What would be a good book to learn more geometric group theory after something akin to Loh's book?

[candid hatch]

Oh, I did not know that this channel exists. Neat! Are there any good books on Calculus that I should read?

[molten gulch]

Sounds like something Bourbaki's books might have

[tender river]

douglas west probably

if you know induction beforehand and passed highschool youre probably good to go

[feral kiln]

Is there a book recommendation for Algebra beginners

?

[molten gulch]

Artin, dummit and foote

[merry sphinx]

high school algebra?

[worthy kindle]

going off their pre uni role id think so

prolly for smth more advanced aops has intro and intermediate algebra books that are very well written

[fast pawn]

Any good recs for Spanish texts (preferably Algebra)? I mainly want to get comfortable with using math in Spanish

[abstract tinsel]

Is there a recommendation for a textbook on non-commutative geometry? I read Cohn for Intro to Ring Theory, but I have been out of school for a while.

I remember his ring theory being a good representative of what I didn't really like about most texts.

[old elk]

Algebra, but at what level?

[fast pawn]

Undergrad preferably, but I’d probably be fine with grad too

[near jewel]

Try find courses in countries that speak spanish, see if they use a local text.

[pulsar veldt]

I like this one https://a.co/d/jjXrlac, but axler also has a specific book for algebra

[old elk]

You can use Felipe Zaldivar's group theory.

[visual delta]

What are the prerequisites to this book? https://a.co/d/c6VXau6

I actually first came across this book because it was cited in a philosophy book.

https://academic.oup.com/book/9462/chapter-abstract/156401286

[drowsy thicket]

Dami has a pin about this

#book-recommendations message

[heady ember]

The Banach-Tarski paradox is a measure theory thing iirc. So probably just some intro analysis

[visual delta]

Okay. I was planning to learn some measure theory soon, so that's good.

[vital bane]

Measure theory is so peak

absolute cinema

[remote knoll]

I have a few.

probably a small but non-negligable percent

probably like 2-3% max? (but realistically, probably less than 1%)

[violet shuttle]

...so little? really?

[normal crystal]

it would be interesting to know, but I think that's probably true

[fading mortar]

Guys are there are free sources from where I can learn the foundation of mathematics?

[wintry quartz]

what foundations are you interested in?

[ionic atlas]

Is there any good book that can be used to enhance problem solving skills for geometry? I know the basic required theorems but I struggle quite a lot. Any good books that can be recommended is appreciated

[wheat bane]

recommend me some books for these topics

[molten gulch]

Friedberg insel and spence linear algebra

Blitzstein and hwang introduction to probability (legally available for free)

Thomas' Calculus + Boyce and DiPrima (or Strogatz or Hirsch Smale Devaney depending on the style of ODE book you need)

K&R (Kernighan and Richie) The C prorgamming language

CLRS (Cormen Leiserson Rivest Stein) Introduction to Algorithms

Rosen Discrete Mathematics

[topaz gull]

yoo guys, im starting mechanical engineering in 2 weeks. are there anything i can pre-prepare for before i start class?

[earnest slate]

If you remember your AP calculus and physics you should be good

Just don't load yourself with books before you even get the list of literature from your professors

[topaz gull]

I didnt do AP. I did A levels

[earnest slate]

Same thing pretty much

[true sail]

I'll replace K&R for "K. N. King C Programming: A Modern Approach"

[topaz gull]

ooh aight bet bet thanks broskie

[obtuse walrus]

Finally someone recommending thomas calc

[molten gulch]

I can't stand stewart for some reason tbh

[earnest slate]

Nah

Brother, I was talking about AP vs A level

Both are sufficient in my opinion

That's why I said same thing

[obtuse walrus]

My conceptual skill sky rocketed after thomas calculus. While stewart like taking formula n solving problem

[naive rapids]

hey everyone! I need a book recommendation for> a) proof writing and logic
b) real analysis
c) calculus 1, 2 and 3
d) linear algebra

[obtuse walrus]

Study discrete mathematics or real analysis ur proof skill will increase

[obtuse walrus]

Linear algebra -introduction to linear algebra by gibert

[obtuse walrus]

If u want rigor means halmos

[naive rapids]

but i really struggle with the proofs
cause sometimes i look at an exercise and its telling me to prove and im just stupefied

do u need advanced calculus for real analysis?

[modern comet]

Does anyone know so.e good lecture for continuity and deferentaibility

[obtuse walrus]

Try discrete math and solve lot of rigor problem

[naive rapids]

yes the loml hahaha

okay...

[rigid trail]

Would recommend a linalg book first

[obtuse walrus]

Bro lemme tell u a story at my second sem I thought analysis gonna be easy cause of function and number ect but I was wrong

[rigid trail]

LADR is good, gentle introduction to proofwriting as well as good linalg material

linear algebra done right by axler

[obtuse walrus]

I suffered to solve a 300 page book

[rigid trail]

Oh didn't do calculus yet?

Yeah definitely do calc I/II first then

[obtuse walrus]

The principal of mathematical analysis or smt

[naive rapids]

I did do calculus 1

[obtuse walrus]

Skip spivak ur not good at proof

[naive rapids]

But I would like a book recommendation for calc 1 regardless

[rigid trail]

My uni has two linalg courses, one is computational and is for all students including engineers, the other is more pure and uses LADR

[obtuse walrus]

If u r good enough for spivak u r good for analysis

Wdym

[naive rapids]

I will hahaha
Youre saying I should start with calculus, then do analysis then linear algebra?

[obtuse walrus]

La parallel with calculus

[rigid trail]

Maybe linalg is more friendly than analysis

analysis is a beast especially a first exposure

[obtuse walrus]

Try to complete linear algebra before diff equ

[naive rapids]

okay then fair
ill be happy to hear ur book recs

[naive rapids]

that was the plan

[rigid trail]

Calculus and computational linalg (no proofs) can be learned online easily. Way more than enough resources for free

proof based linalg, LADR is nice

analysis: abbott, ross are good imo

[naive rapids]

I think having a book wouldnt hurt, even if just for drills

[rigid trail]

determinant is axler's #1 opp

[obtuse walrus]

Try la halmos

No ladr explained vector space really well

Nah

[rigid trail]

odes definitely, pdes theory is kind of interesting but way too hard for me rn

[obtuse walrus]

If ur enginnering then u should take it

Bro after vector space the diff equ is like a magic

[rigid trail]

my odes course was the nifty tricks stuff

yeah i agree it's lame

[obtuse walrus]

I'm not telling u to learn tensor calc

[rigid trail]

i'm interested in engineering but not engineering courses

[obtuse walrus]

What major ur

[rigid trail]

oh hi

[obtuse walrus]

Anyway I'm at final year of engineering

[rigid trail]

i was hoping to do math/CS double major but since I am graduating in 3 years and not 4, it's not realistic

i am doing math major cs minor

[obtuse walrus]

If u r math major
U can be
Quant analysis
Ai developer
Cryptography ect..

[rigid trail]

i'm going to be taking grad math courses too so doubly not realistic

[obtuse walrus]

Math major is underrated

[rigid trail]

i like math major a lot yeah

math covers so much ground it's great

[obtuse walrus]

Yep man

[rigid trail]

grad complex analysis and grad algebra I and II hopefully

[obtuse walrus]

Man I tried to self study functional analysis but it's so hard

[rigid trail]

i am nowhere near how good some of my peers are

[obtuse walrus]

I want to smak my head

[rigid trail]

one of my peers took a grad course in first year 😭

yeah some of the other math majors dont do any proof writing until year 4 when they take Intro to Analysis as their last math course

[obtuse walrus]

Maths is like a subject where if u understand and work hard everything make sense

[rigid trail]

i work hard and stuff only half makes sense icl

with math if you feel like you completely understand, then you aren't challenging yourself enough

[obtuse walrus]

U guys know any resources for functional analysis

I suk at it

[rigid trail]

i am working through axler measure book rn, i think it touches a little bit on functional

[obtuse walrus]

U mean this book

[obtuse walrus]

I don't own it it's google pic

[rigid trail]

yeye it talks about L^p spaces, banach, hilbert spaces which is a necessary foundation for functional

or did you already do that

[obtuse walrus]

I'll take a look

[obtuse walrus]

I know these concepts

My main issue with functional analysis if I try to use a book it's not well defined and yt lec ain't working

Like I feel like I understand but I dont

For me hot take functional analysis harder than tensor calculus

[woeful terrace]

i think you have to be either very career oriented for most of those or be extremely goated in math

and for high level quant positions, math specialized people only start making a lot of money after their grad/phd positions

if that's your sole goal with your degree though im sure you can make it happen

[woeful terrace]

idk, but when i think math and AI i think those goated AI researchers

like that one guy who got signed onto meta for 100 mil or smth

lmao

yeah definitely

that's more of a software thing

and i think a basic working knowledge of stats matters too

yeah a phd in math is probably fine for that

[woeful terrace]

but not really much, you probably only have to know about standard distributions and tests and basic probability calculation stuff

maybe some linear algebra

and how some ML models work

maybe

if a math phd does AI related work on the side i think they'd be just as competitive

but then again an AI researcher would be at the forefront of actual AI research

compared to a math researcher who's probably doing something more abstract

yeah it's probably dependent on what the company is working on specifically

[willow merlin]

which book has hard exercises on quotient sets

[frozen perch]

<@&268886789983436800> unsolicited advertisement

[topaz gull]

Yeah

did phy, math, f-math

[topaz gull]

fr fr? aight bet this will be fun and easy then lol

Thanks mate

[topaz gull]

yeah ofc lol, but dw. gotta trust the power in locking in 😼 😼

https://tenor.com/view/laduykhang-smart-gif-18001245

[obtuse walrus]

Hmm honestly ml or ai or deep learning requires logical math, stat and prob , linear algebra and for dl the calculus plays a good role

[wide coyote]

book fro abstract and somewhat rigirous linear algebra introduction

?

[obtuse walrus]

Topics in abstract algebra

But the lang is based on prob model so they will pick up easily

[woeful terrace]

Artin

[wicked fractal]

reciprocity

[woeful terrace]

https://tenor.com/view/teto-kasane-teto-gif-18004881838616477608

[molten gulch]

friedberg insel and spence

[shadow maple]

Does anyone know of any book (digital or physical) that covers Probabilistic Normed Spaces?

[molten gulch]

<@&268886789983436800> user is requesting pirated resources

[upper hull]

Ok ok

[remote knoll]

Sorry, we can't help, Discord will bully us.

[upper hull]

I'll delete sorry

[remote knoll]

thx

[spring marsh]

Boooks to start algebra to olimpic level

[remote knoll]

Art of Problem Solving

https://artofproblemsolving.com/store/list/all-products

you can find them second hand from time to time at used book stores (such as hpb) or for a little cheaper online.

(or for free online, but we can't help with that)

[gray gazelle]

Someone reccomended me the book everything you need to ace pre algebra and algebra 1 in one big fat notebook for a beginner then after being done with that, go to essential pre algebra skills practice workbook by chris mcmullen then im basically done with pre algebra and i can move on.

Are these good books? Have any of yall used these/read them.

[near jewel]

So you're asking if the books

"Everything You Need to Ace Pre-Algebra and Algebra 1 in One Big Fat Notebook" by Jason Wang.
"Essential Prealgebra Skills Practice Workbook" by Chris McMullen.

are good books for prealgebra?

[rigid trail]

For pre algebra basically any textbook will do, as long as you practice. You don't really need a textbook at all actually

That being said, the "...in one big fat notebook" series isn't great imo

But if that's what can keep your attention then sure it might help

[wide coyote]

author?

[brittle flame]

Does anyone know a calculus book with all or most of the exercises solved, or know where I can find a solved calculus deepening list

Calculus I and II

[molten gulch]

Thomas and stewart have half solutions in the back

AFAIK

[brittle flame]

Only the answer, not the step-by-step resolution

[molten gulch]

Yes, you will rarely find step by step solutions if ever for calculus

[trail hemlock]

larson has half worked out solutions for everything

on calcchat

[brittle flame]

Worse that it is complicated to depend on AI, it doesn't always get it right and you can't trust it 100%

[sterile pelican]

Yeah I agree on that like for a novice it's kind of useless because it's unreliable, which hurts you in the long run. Then even as an expert it is counterproductive because you still need to manually fix the mistakes in weird places, so it's kind of useless for both spectrum for me at least

[visual delta]

If you're looking for integrals or derivatives, then you can just use Desmos. If you are doing a derivative problem, you can just put the function you are differentiating as $f(x) = ...$ into one line, and then put your proposed derivative, and then put $f'(x)$ on one line. For definite integrals, you can just put it into the calculator along with your answer in symbolic terms and see if they're equal. For indefinite integrals, you just graph $\int_{0}^{x} f(u) \dd u$ and then graph your proposed antiderivative. Ignore vertical shifts. That can at least tell you if you're wrong.

[hasty eagle]

Heavenly Philosophy

[versed pasture]

Wait what is good book to learn learn abstract algebra that is kind of more intuitive and not like super confusing

[molten gulch]

I personally like artin for abstract algebra. I've heard dummit and foote goes quite slow, if you find that helpful. Outside of that, it really is taste, a book you may enjoy may be disliked or confusing to others

[versed pasture]

Wait what are the prereqs for abstract algebra mb

[rigid trail]

None technically

just mathematical maturity

take that as you will

[versed pasture]

ok ty

[sterile pelican]

I am currently doing Anderson and Feil's A First Course In Abstract Algebra, I quite like his quick exercises bits after reading, then he has warm-ups and exercises with some solutions to boot, also he has a "in a nutshell" at every end of the section that reminds you what you go through

My only tiny gripe is his first chapter it was very confusing and the other is how weird the book flows since I jump back and forth on certain sections on my self-studies, other than that it is a neat book from chapter two onwards

[remote sparrow]

some assume you have a very modest acquaintance with number theory, while others review and prove those basics. linear algebra background can be helpful, but for a lot of mainstream books, not too much is asked of one's linear algebra background during the groups and rings sections.

[obtuse walrus]

Herstein

[alpine shoal]

Does anyone have any good books for touching up on algebra and algebra 2 in prep for precalculus?

[rigid trail]

precalculus is precisely the place where you touch up on hs algebra 1 and 2

i wouldn't sweat it

[alpine shoal]

ok

[cunning elk]

precalculus as a class shouldn’t exist fite me

[gentle rivet]

Marco Heins abstract algebra is good for intuition, motivation, among other things without being as abstract as most canon texts.

As for prereqs, none, technically. But, you probably should have an intuition of matrix algebra (and some counting theory isn’t bad either)

One example is how the dihedral group can be thought of as a subgroup of the General Linear group, something you’d understand much better with linalg.

Also sections concerning fields and field extensions would be useful.

You should supplement it with Dummit and Foote though, due to the sheer amount of Algebra content you’ll miss out on.

[daring lake]

Has anyone read 'Operator Theory by Example' from Oxford press? I want to pick up operator theory and saw this book

[opal orchid]

Any good textbooks with multivarible analysis practice problems and solutions?

I'm looking for something with gunning like content, but like with actual solutions and examples

[robust orchid]

selina - understanding mathamatics is best

[hushed vector]

just like abbott's title ;3

it must be lovely ahah;3

[coral bone]

Just curious, why not?

I've heard that take before, its interesting

[rigid trail]

It's very skippable

It doesn't prepare you for calculus

[rigid trail]

emphasis on algebra

you can get away with flimsy trig knowledge

i knew very little about trig before taking calculus

i kinda just picked it up along the way

i think you only really have to understand sin, cos, tan geometrically, and know that csc, sec, cot are reciprocals of each respectively. and understand inverses

maybe know sin^2 + cos^2 = 1

that's kinda it

the focus of calculus isn't really trig

[grand cliff]

can anyone please tell me where can i get the mathematical circles book?

[molten gulch]

not for free

you must purchase it

[grand cliff]

can you pls give me a link

[pine tundra]

I agree

[grand cliff]

i am not being able to find the correct one

[rigid trail]

gonna be real i don't know

[molten gulch]

https://www.amazon.com/Mathematical-Circles-Russian-Experience-World/dp/0821804308 this one?

[rigid trail]

i don't have to do integration of arbitrary functions on a daily basis

[grand cliff]

is there any volume 1?

or all versions are compiled in volume 7?

can you pls confirm?

[rigid trail]

oh half angle identity might work

yea

[molten gulch]

yes, because that's a volume of a series from the publisher

[rigid trail]

i mean if i didnt know half angle then i'd do integration by part lol

yeah ofc since it repeats

would be a bit annoying to do but not unreasonable

[molten gulch]

Product to sum identity of sine (\sin{x}\sin{y} = \frac{\cos{(x-y)} - \cos{(x + y)}}{2})

[grand cliff]

should i start with this one?

[hasty eagle]

James + Ryan (TCC)

[grand cliff]

volume 7

[molten gulch]

Apply IBP to (\int dx , \sin^{n-1}{x} \sin{x})

[hasty eagle]

James + Ryan (TCC)

[grand cliff]

can you pls recommend some good books for math

[molten gulch]

At what level

[tender river]

in my opinion?

[grand cliff]

to prepare for imo

[coral bone]

Gotcha, thanks

[vital bane]

in your opinion what?

[vital bane]

damn it you already made this joke

[simple crag]

Guys what is your opinion about beginning of infinity by David Deutsch?

[umbral lagoon]

give me a book about all of marvel like in one

[floral sorrel]

is there like a master list of book recs somewhere?

checked the pins but cant find what im looking for

[cursive orbit]

https://mathematics.gg/books

this seems outdated tho

https://www.ocf.berkeley.edu/~abhishek/chicmath.htm this seems more compelte

[floral sorrel]

veerry sick ty

[tender river]

https://4chan-science.fandom.com/wiki/Mathematics#Book_Recommendations

https://realnotcomplex.com/

[vital bane]

Peak pfp

[heady ember]

What is with that Physicist ass notation

[molten gulch]

Deal with it, I'm gonna be special like that

[heady ember]

Sure buddy

[slim helm]

Looking for a book about undergraduate physics, assuming you already have a math degree. Something like Spivak's Physics for Mathematicians, but possibly not assuming so much of a differential geometry background? (if thats even possible lmao)
tanks

[normal crystal]

are you asking for piracy

cuz that's a no here

and I'm sure you know that

[remote knoll]

@languid sedge sorry, we can't help you pirate things as mentioned by craig. I've removed your post.

This has to do with Discord TOS

[sick kelp]

What are some good(preferably crash course) books on financial math?

[cursive orbit]

I mean like the thing is like

it takes a lot of math to formalize physics

so maybe it's just best to read the standard books for physics students if you don't want to deal with things that are too advanced

[slim helm]

I mean, I have a good handle on vector calculus, complex analysis, and calculus on manifolds, so I was sort of hoping that was enough. But if understanding physics this way requires diff geo, i completely get it

Unfortunately, elementary physics books (i.e. Freedman & Young) seem to leave to many unanswered questions for me to actually understand mechanics, hence why I wanted to try this approach :P

[high fjord]

Arnol'd Mathematical methods of classical mechanics

But probably it would be best to first learn some physics normally

And math formalism then

Otherwise its like teaching rational numbers using quotient fields

[fluid violet]

Got new math books :3
cohomology and differential forms
Fourier analysis on groups
Not topics I'd normally study, but they seem interesting, plus I've been meaning to study differential geometry

Not sure if either is the best or most accessible book on the topic though

But that's what the bookstore had

[sage python]

Ooooo nice

Authors?

[fluid violet]

You actually motivated the choice regarding the Fourier book. Remember the rant you gave me years back about the importance of Fourier analysis?

So the Fourier one is by Rudin

The differential forms one is Izu Vaisman

[sage python]

Ahhhh yay

[fluid violet]

Idk if I know all the prereqs for the Fourier book tho

[sage python]

Ahhh yeah fair. I guess by virtue of the topic you'll definitely wanna know some measure theory and functional analysis, no matter what book you use

[fluid violet]

Yeah I know some basic functional analysis and measure theory but it's been a bit

[sage python]

But yeah idk how much more background great grandpa Rudin asks for compared to one of the other books

[fluid violet]

Rudin starts by talking about haar measures on locally compact abelian groups, which I'm not familiar with

[fluid violet]

Oh this is considered great grandpa Rudin? Lol

[sage python]

Yup

[fluid violet]

I started reading grandpa Rudin, I'm finding it kinda boring though. Not sure I find func anal so interesting

Does Rudin have any more books?

[sage python]

I think he has something like "Function Theory on C^n"

And yeah Rudin is prob gonna be one of the more boring books on functional

[fluid violet]

Do you have any other good reccs?

[marble solar]

Peter Lax' book on functional is fun to read

If you like PDEs to go along with your functional, There's Haim Brezis' book

[fluid violet]

I'll check that out!

[fluid violet]

I'm more of an algebra person than analysis

[sage python]

Try Einsiedler and Ward

[glossy cove]

any single variable calculus book (with analytic geo included) that gets you both the computational skills to solve most problems and most proofs aswell?

something that doesn't take 1500 pages just to teach differenitiation, hopefully.

[sturdy shore]

seconding einsiedler and ward, it's anything but boring!

[molten gulch]

thomas and stewart teach you differential, integral, and multivariable calculus in those 1200 pages FWIW

for proofs you really just want an analysis textbook

[glossy cove]

yes i am aware, but i dont really have any use for multivariable calculus. just want a quick single variable calculus.

i find stewart kinda boring to read, tbh

[molten gulch]

there's single variable calculus also by stewart then

[glossy cove]

yeah, i have seen it, and I am just not a big fan of stewart's style. i want something like spivak except which covers more computational parts aswell.

[normal crystal]

Schoolcraft College seems like the name of a made up institution in a wizardry fanfic
but it's not

[wide coyote]

Js wondering has anyone ever used Advanced Calculus of Several Variables by CH Edwards?

[night tartan]

Is "The Real Numbers and Real Analysis" by Bloch a good resource for real analysis?

[slender wasp]

It's a good book, key feature/difference from other books is construction of reals in chapter 1 and more focus on elementary methods in chapter 2. For the rest of the book I think Spivak and Abbott are better. Depending on your taste and goals, you may or may not care for this key feature.

[ionic lark]

Anything for groups rings fields and modules? I’m reading Serge Lang but it’s so boring

[remote sparrow]

dummit and foote

you could read algebra in action by shahriar shahriari as well, though it doesn't cover modules. it does, however, have a very well-motivated treatment of group actions

aluffi's notes from the underground does groups, rings, fields, and modules, but the order is rings > modules > groups > fields

[peak gate]

Looking for a topology book, preferably not over 130 pages

[tender river]

https://www.amazon.com/Topological-Uniform-Spaces-Undergraduate-Mathematics/dp/1461291283 is mostly a topology for analysis style book, not sure if that is what youre looking for

[broken pecan]

guys. I really really want to own some printed textbook but the cost is astronomical. some books cost $200+. I searched why so costly on LLM it's quite enlightening. I don't think cost would go down just cause how much efforts have to put into the whole chain of book publishing. really sad

[obtuse walrus]

It's normal

[broken pecan]

printed text became one of these product which few copies only been found in uni libraries and been borrowed by people over and over. It's a luxury for ordinary people

[obtuse walrus]

They can be other editions like indian which are cheaper

Like even 200 dollar book might cost 10 dollar in reprint

So ur goal is knowledge instead of collection with luxury book then u should opt for reprint

[broken pecan]

I have a mountain of PDFs from someone's archive. But I want the real thing for once now

[obtuse walrus]

Can u send me name of that book

[obtuse walrus]

Ya reprint is paper

[broken pecan]

I have digital version of every text i want

I know. Would like OG version. But it's luxury

[obtuse walrus]

Can u share the book name so I can find cheaper version for u

[obtuse walrus]

Then u should save money and buy

There is no other way

[broken pecan]

Thank you. I only wanted OG one. I can get international version for a lot less around 60.

[cedar oar]

hello guys i just got into the computer science college, and i want to learn discrete math deeply bcs i don't understand the logic so i want to practice more this lesson, any recommendation course or book to learn it?

[upper estuary]

"Susanna Epp - Discrete mathematics with applications" is a good beginner textbook, another good one is the MIT course notes (available for free)

MIT also has a free course on edx.org that follows the course notes

[cedar oar]

how about discrete mathematics and its applications by rosen, kenneth h

is that good also?

[upper estuary]

I haven't personally tried it but it seems to be one of the most commonly recommended textbooks on discrete math, so it should be great as well. You can't really go wrong with either of these three books. If you're rich (or a sailor like me 🏴‍☠️) you could even get all three and see which one you like most

[rigid trail]

Dang

[short flare]

yo gang what do y'all reccomend for a highschool calculus/advanced calculus

[rigid trail]

Stewart

Or just Khan academy honestly

[rigid trail]

What's advanced calculus

[short flare]

like calculus but deeper then school

i thnk

[rigid trail]

There are lots of topics in calculus beyond high school

Stewart and Khan academy cover high school and also multivariable calculus

they both do

[short flare]

alright alright ty

[tough bramble]

Can someone please suggest a book which covers basics of Probability and Statistics first, and then moves on to their practical applications (such as in domains like Machine Learning)?
I do have basic axiomatic knowledge of Probability (although a revision will be required), but zero knowledge of Statistics.

[near jewel]

If you only want statistics knowledge to machine learning, then “All of statistics” would be the book.

[marble solar]

Stewart is the go to book. Thomas' University Calculus is a good alternative. For advanced calculus book that'd be more like Spivak or Apostol, but those books are generally for people that know how to 'do calculus' but not the 'why' of calculus

[tough bramble]

Thanks!

[stiff tulip]

Bit of an inverse question, I’m reading Stochastic Finance: An Introduction in Discrete Time, Follmer and Schied. Anyone know of any good lecture notes or lecture recordings that follow this book? Fairly terse and the financial examples aren’t easy for me to intuit

[jaunty phoenix]

Anyone have recs for intro to complex analysis?

[stiff tulip]

Ahlfors is the classical text

Stein Shakharchi is also good

Basic Complex Analysis by Marsden is also good

[marble solar]

Don't read Ahlfors lol. It depends on your background in Analysis

[jaunty phoenix]

I am looking for a very elementary introduction as i am studying for fun

[marble solar]

A lot of people really like Visual Complex Analysis

[jaunty phoenix]

and am a graduate ECE student

[marble solar]

That's a more leisurely book. The standard book for EE undergrads is Churchill and Brown's Complex Analysis

[jaunty phoenix]

gotcha, im currently reading understanding analysis and was looking for something for complex

[full cairn]

I didn't like Visual Complex Analysis that much. It got really hard to follow all the geometric proofs, and I feel like you're not necessarily gaining so much more intution compared to the algebraic/analytic proofs which are usually much easier

Maybe it works best as a supplement to another book. I liked Asmar and Grafakos a lot

[wet sentinel]

lang's complex analysis is the way to go

[floral lantern]

If you want a super easy book Beck is good and open source if you have no background in analysis

But very easy

[foggy quest]

https://mtaylor.web.unc.edu/notes/complex-analysis-course/

[viral knoll]

Indeed

[sick kelp]

What are some good(preferably crash course) books on financial math? One that covers advanced concepts like calculus in finance

[remote sparrow]

gamelin

[minor vigil]

Hello, do you guys have any good probability and statistics book for Uni pure math? I'm starting my uni in 3 months.

Also can u ping me when u have a response :)

[remote sparrow]

do you know calculus

[minor vigil]

Yeah

I know like HS probability, stuff like conditional, and basic stuff

And little bit of expectation stuff as well

But idk stuff like bell curve and distribution and all sort of other kool stuff

[remote sparrow]

https://stat110.hsites.harvard.edu/

[robust orchid]

lmao

[minor vigil]

i have done real analysis, linear algebra and abstract algebra

alright thanks

[oak pecan]

from the title of the book you're reading, maybe Shreve's Stochastic Calculus Vol 1 might be good complementary material?

[upper estuary]

Anyone got any reccs for an introduction to differential equations? Looking for maybe like a 100-200 page text. Preferably rigorous and with good practice problems. (It's ok if it's part of a larger book, as long as the diff.eq. part is mostly self-contained)

[mental swallow]

Math is cool sometimes

[vital bane]

https://mtaylor.web.unc.edu/notes/

[lavish fox]

hey guys I basically want a book covering like all topics studied in pre-college , maths, not like particular concept oriented. Please suggest. (not for any particular class).

[upper estuary]

not a book but khan academy can take you from pre-k all the way to pre-college

[lavish fox]

hm, I have heard of this book called Challenge and Thrill of Pre-College Mathematics but it was recommended for an olympiad preperation. Thats why I am not so sure about it, but the idea of having a book for the entire pre-college curriculum seems very enticing to me. I prefer books , videos arent kind of my thing. How is this book, if you know about it?

[upper estuary]

I took a look at it and it seems decent but it definitely assumes you already have some math knowledge, so it might not be a good book if you're just starting.

https://math.libretexts.org/Bookshelves

This ^ is a free collection of textbooks that might help

[daring lake]

or Rudin's ofc

[lilac lake]

i’ve been revising limits & derivatives, complex numbers, and permutations & combinations, and i feel like i need to push myself with some advanced-level questions beyond the regular ones. could you please share any good problem sets, books, or sources where i can find tougher practice questions for these topics?

jus for adv qs cuz of an exam coming up

[lament trail]

This is a great resource, thanks for pointing me to this

[sick kelp]

Best books on financial math?

[old elk]

Hi guys, could anyone recommend an introductory book on exterior algebra? I don't understand differentiable forms.

[molten gulch]

lee's smooth manifolds covers it AFAIK, most texts on algebra cover it, say hungerford, lang, rotman, etc...

[old elk]

I wanted to look at it through linear algebra, but there are too many commutative things and stuff like that, and I don't understand much, so I asked for something introductory.

[full cairn]

If you want something more theoretical than Lee but not as abstract as for example Rotman, then you could look at Greub - Multilinear Algebra

He doesn't do modules or anything like Rotman, so I think it's a bit easier to follow

[old elk]

It may be because the book I'm reading has a terrible subject matter and lacks content, that's one reason.

[molten gulch]

I thought most people read several books on a subject in parallel

This makes me very sad

[old elk]

Sometimes I do that, and I end up with excellent examples and excellent ideas to explain to my colleagues who aren't interested, haha.

At least I now have a rough idea of how the wedge operation works, although those homomorphisms and endomorphisms of wedges blow my mind with so much symbolism.

[normal crystal]

Chipper's Guide To Being Potato
199$ on Udemy

[cunning elk]

see if you can do a directed reading course if there’s a topic you want to study that’s not offered in any of their classes

[fierce river]

new king james version x

[radiant bramble]

I mean I’m an auditory learner so books are harder for me

I can listen in the lecture and understand

But for the book i just don’t get it

[silver wagon]

Trying to re-learn Algebra 1 and I have a question about a potential TOC of a book that I'm looking at. People recommended this book and I'm seeing if this has all of the topics of highschool Algebra 1.

It's called, "Introductory Algebra for College Students by Robert Blitzer, 10th edition" and this is the book/TOC: https://www.pearsonhighered.com/assets/preface/0/1/3/6/0136551637.pdf

It also says in this book's description, "Introductory Algebra for College Students, Eighth Edition, provides comprehensive, in-depth coverage of the topics required in a one-term course in beginning or introductory
algebra. The book is written for college students who have no previous experience in
algebra and for those who need a review of basic algebra concepts"

[normal crystal]

ok, is there a question ?

[lavish fox]

Thanks! thats perfect.

[silver wagon]

My bad lol, but yeah. Was wondering if this book covered like Highschool Algebra 1 stuff because the title, "Introductory Algebra for College" threw me off.

[normal crystal]

even from the same publisher and author they probably have overlapping textbooks
if you need it for a specific HS algebra 1 class and its topics, you have to cross check
otherwise, it is what it says

[silver wagon]

Ah gotcha

[normal crystal]

you can compare with the openstax free textbooks

[silver wagon]

That sounds good, yeah. To see how everything stacks up.

[normal crystal]

I noticed that too
it was up until end of August
I even googled to see if he 💀
idk
there did seem like a redesign in progress right before it went down

[blazing holly]

Does anyone have recommendations for Nonlinear Systems and or Medical Imaging?

[normal crystal]

he was also supposed to have a 2025 annual edition in August that would be available in print and then they were moving to new print editions every 4 years
but I don't see that on Amazon either
idk what's going on

[marble solar]

I'm not sure 'disproved' is the right word. From what (little) I've seen of the literature, it seems hard to isolate the different modes by which people learn. I also think that people don't think deeply about spaced repitition or mechanical practice in learning something

Most people will jump to "oh this explanation makes sense to me so I must by this style of learner" when that isn't really a rigorous way to identify it

I'm sure an experimentalist can come up with a way that can sort people by (most likely) a slight preference in style. At least for math, I find that if I can't accurately draw a picture or write down a formula for what I'm trying to show

Then I haven't sufficiently understood it

I do wonder if there's a way to set up people to see if a style of learning can be identified in a more rigorous fashion rather than a self-id'd way

And to what extent that plays a role. I'd imagine it's not that large of a role

[normal crystal]

Teacher retired early the next year, moved abroad, self-published memoirs reminiscing about when they just made up shit to tell students

[marble solar]

Yeah, designing an experiment around this would have to control for that

(At least, as best they can)

[solar vapor]

Harry Potter

[marble solar]

Sometimes I wonder what the best math book I've read is, if I had to off-hand guess, I'd probably say Stein-Shakarchi's Fourier Analysis is absolutely beautiful beginning

It's just so well-paced and doesn't linger on any one thing for too long

And if you'd like to go deeper, each chapter can be dived into

[normal crystal]

2024🥹

[violet shuttle]

I'll note that Pontryagin, along with some other famous mathematicians, was blind

Frankly I don't understand how their minds worked

Or how they could come up with their genius shit blind

[supple ferry]

Hi there. I've heard some criticism against Casella and Berger's book Statistical Inference, namely that it doesn't contain/avoids measure theory. Is this true and in what sense does this become a problem?

[fickle timber]

"Uglies" by Scott Westerfield, pretty good book for apocalyptic dystopian readers

[molten gulch]

PONTRYAGIN WAS BLIND?

oh wait I remember reading about this now

[violet shuttle]

ikr right!

blind since 14 after a stove exploded.

[blazing holly]

I know of strogatz’s book (there’s a new edition out) but id like to know of any others you all recommend

[gray gazelle]

the concept of learning styles doesn't exist

scientifically proven that it's bs

[tawny copper]

Idk what medical imaging is. For dynamical systems similar to what Strogratz does I like:

• Anatole Katok "Introduction to modern dynamical systems"
• Teschl
• Clark Robinson
• Irwin
• Perko

Anatole Katok's is the most comprehensive and advanced. More elementarily, any of Devaney's books (beware that some of his books are for high school students, they are not worth looking at, I'm talking about his university books)

[timber mesa]

seconding Katok-Hasselblatt and Robinson on the theoretical side

these don't emphasize applications much though, so perhaps Strogatz or Hirsch-Smale-Devaney are better fit

kinda wish there were more recent ones on that side, maybe some course notes I'm not aware of

[radiant bramble]

Well, maybe the learning style doesn’t, but it is still easier for me to learn by hearing. Maybe its called something else- who knows

[full cairn]

Could be lots of reasons someone finds books more difficult than lectures - some form of dyslexia, or it's easier to concentrate in a classroom than alone with a book, etc. (not saying you have dyslexia btw)

[gray gazelle]

its called learning style

visual, auditory, kinesthetic etc, the bs triad

[radiant bramble]

Yea, and i have visual issues so maybe thats a big part

[sand ravine]

Im in 8th

[pulsar tiger]

im not sure if this is the place to ask but does anyone have good resources on fuzzy numbers and/or fuzzy logic?

[woeful rock]

Does anyone know a whole book for Laplace Transform? Both, the one side and two sides.

[woeful rock]

Or in general, a book for Integral transforms.

[quiet berry]

Springer books are great

This is only one example. There are a lot of Springer books on fuzzy numbers

Also this (excuse the quality)

[molten gulch]

Any text on ODE's should cover laplace and fourier transforms

[pulsar tiger]

thank you im assuming the first better as an introduction from scratch no?

[quiet berry]

Yes, pretty sure

[tropic prism]

anyone have good resources for Linear algebra? Particularly dual spaces, inner product spaces and constructing new vector spaces, my lecturers notes are all handwritten and a little difficult to parse so was looking for something that goes a lil slower and more basic ig

[mossy flume]

the textbook I like is Friedberg, Insel, and Spence's Linear Algebra

maybe take a look at that

[tropic prism]

Will do

Preciate it brother

[zealous skiff]

Hi

Can anyone give me a good book of math for age 13

[near jewel]

Giving a recommendation of books on age isn't really relevant. What's the purpose of the book?

[full cairn]

Just found a pretty interesting book: https://link.springer.com/book/10.1007/978-3-030-46047-1
It spends 120 pages on multilinear algebra before introducing differential forms

for some ungodly reason the same authors have a different book with the exact same title: https://link.springer.com/book/10.1007/978-3-030-46040-2 , it only has a different subtitle, which is very confusing

[hushed vector]

any recs for dynamical systems?

have done rigorous analysis, but only in R^1

[bronze seal]

Anyone have any recommendations for geometry and algebra how to learn and understand it quickly

[twilit pulsar]

wdym by geometry and algebra

like what lvl

[molten gulch]

I like rotman's modern algebra 1 and 2 a lot; and for geometry lee is a canonical source for differential geometry and hartshorne and vakil are both canonical sources for algebraic geometry

[molten gulch]

Their role is pending postgrad so I'm giving them late UG/grad school recs

[bronze seal]

Going for a trade soon

[timber mesa]

in that case Devaney's An Introduction To Chaotic Dynamical Systems is written with students who've only had calculus and linear algebra in mind, there's also Hirsch, Devaney, and Smale's Differential Equations, Dynamical Systems, and an Introduction to Chaos which is a fairly complete book for ODE, their qualitative behavior and an introduction to discrete dynamics

[full cairn]

I'm 99% sure that's not the kind of algebra and geometry they are talking about; if it was they would be much more specific

[remote knoll]

fuzzy quality

[quiet berry]

Indeed

[quiet berry]

I mean, it all depends on your level and what you’re currently interested in, not your age

[molten gulch]

fair, but considering they'd picked the postgrad role I just assumed that's what they meant

[old elk]

I didn't find much on the subject, that is to say I found little about the wedge product and its properties, well in the book of

[old elk]

Nice

[weary glade]

anyone have any recommendations for books on physics

[pulsar veldt]

I believe these are good lists:
https://www.susanrigetti.com/physics

#1149857476762669106 message (from https://discord.gg/physics)

https://www.goodtheorist.science/texts&resources.html this one doesn't give specific recommendations on everythin', but it's worth it (from a nobel prize winner)

But you might enjoy talking more about physics on the discord server I sent

[weary glade]

thx i didnt know there was a seperate discord server for physics

[pulsar veldt]

no problem

[weary glade]

and thx for the recommendations

[remote sparrow]

what's your goal?

[supple ferry]

Well, I’m simply looking for an introductory text to the subject. In real analysis, a very standard reference is Rudin’s book PMA. I was wondering if there’s something similar in this subject, at a perhaps similar level. If you survived far enough into Rudin’s book, you’ll notice he actually has a chapter on measure theory. 😄

[loud cradle]

bonus: these are freely available from the author's website https://www.cis.upenn.edu/~jean/gbooks/manif.html

[remote sparrow]

casella and berger is fine. you can follow up with the likes of keener, schervish, or shao later.

[hasty pine]

Hi, I’m looking for book after high school, recommend me something if you have

[daring wolf]

book after high school
what type of stuff would you like? uni math? or do you have something else in mind in particular?

[hasty pine]

I think I want to learn about linear algebra or functions

[pine tundra]

Wdym with functions?

[zealous skiff]

Ok

[zealous skiff]

Ok

[silver frigate]

OLF, Book ALBERT EISHNTEIn.

[zealous skiff]

I am just getting into another level of math

[zealous skiff]

Is this for me

[fresh hull]

does anyone have a differential geometry/mathematical physics reading list

perhaps something similar to this! although I iamgine that's too much to ask lol

[zealous skiff]

Well ok a book that's has formula and more of math topics

[cunning elk]

…that’s literally every math book out there

be more specific

[near jewel]

You could tell a bit of what you're studying at school. Is this like, say you're in grade 1, and you want something for grade 2? Or is it more leisure/after-school books that helps you understand the history of math, popular science, math thinking, etc.

[fair rock]

does anyone know of a math related book that talks about dealing with dyscalculia?

[calm quarry]

anyone got a book for getting mental clarity on probability concepts on an elementary level, like conditional probability, bayes' theorem etc?

[foggy quest]

"A First Course in Probability" by S. Ross.

[quiet berry]

That’s literally every maths book 🙏

[quiet berry]

What level? Are you on pre-algebra? Do you just want a grade 6, 7, or 8 book? Or are you looking by specific topic like algebra, geometry, trig, probability, calculus, statistics, etc?

Or maybe you want a book about mathematical thinking, history of maths, or something like Measurement by Paul Lockhart (I love that book)

Be more specific 💔

[trail juniper]

What is a good book for linear algebra that isnt going to drown me in theory and proofs

[molten gulch]

Lay's linear algebra and its applications has some proofs but way way more computation

Friedberg insel and spence has a mix of computational problems but does not shy away from theory

[old briar]

what good complex anal books are there that cover homology version of Cauchy integral theorem and are kinda more advanced

just need the main topics but written in a way intended for people with more background than just calc

[zealous skiff]

Yeah thanks something like that

[quiet berry]

Something like what? Be specific, please

I cannot give you book recommendations when I don’t know what to give them on

[zealous skiff]

Yeah I need exactly that

[remote sparrow]

zakeri

https://old.maa.org/press/maa-reviews/a-course-in-complex-analysis

[old briar]

thx

looks like there's also Narasimhan

[old elk]

Someone help me identify the book in this PDF.

https://math.mit.edu/classes/18.952/spring2013/docs/book.pdf

[full cairn]

Differential Forms by Guillemin and Haine

there's a draft version here: https://math.mit.edu/classes/18.952/2018SP/files/18.952_book.pdf
it's posted on a course by Guillemin, so I don't think there's any copyright issue

[old elk]

I have already found some books on exterior algebra or multilinear algebra, from its geometry to its theory.

[full cairn]

can you share which ones you liked the most? currently I'm just using Lee and lecture notes for differential forms

[molten gulch]

Boyce diprima seems quite common

[old elk]

Multilinear Algebra by Werner Greu 20/1 If you are an algebraist
Geometric multivector analysis by Andreas Rosen 8/10
Geometric Algebra for Physicists 10/10
Browne J. - Grassmann algebra. Exploring applications of extended vector algebra with Mathematica 10/10
Linear Algebra Via Exterior Products by Sergei Winitzki 9/10
Advanced Calculus by Pietro and Gruyter 10/10

[molten gulch]

You can find it via....means, if you need to

[marble solar]

There are editions that are cheap. There's also a Schaum's Outline to Ordinary Differential Equations, or as the Michael Taylor people insist, he has his notes available

I haven't found an ODEs book that's entirely satisfactory, but that's ok

[normal crystal]

https://www.jirka.org/diffyqs/

[marble solar]

If you're looking for a class supplement, I think Schaum's is perfect

Since it's mainly solved Problems

I do think that books tend to leave out computational examples, much to the detriment of the learners

[normal crystal]

this is also based on that with videos
https://web.uvic.ca/~tbazett/diffyqs/frontmatter-1.html

[cursive rivet]

This is perhaps the worst book on the material I have read for what it's worth, if anyone is thinking of using it I would strongly recommend anything else

[old elk]

why

[wintry quartz]

I thought the book was good

[twilit pulsar]

I second this question

are there Hardy-Littlewood Circle Method-focused number theory books

I can find stray pdfs here and there but finding a source that focuses on the math rather than the history is difficult

knowing the history doesn't tell me anything about spin bordism torsion functions

[fickle whale]

GA detected

[vale marsh]

Can I send you a YouTube video on it?

[vale marsh]

An Invitation to Modern Number Theory by Steven J. Miller and Ramin Takloo-Bighash

[twilit pulsar]

yes

[twilit pulsar]

thank you

[bronze seal]

book recommendations for both basic algebra and geometry and or videos and maybe online tutoring rescources if possible please and thank you

just dm me the info

[lost arch]

hey guys, could anybody help me get Friedberg, Insel, Spence Linear Algebra, 5th edition, in pdf? i would be very grateful if you sent me that edition in the dms. I would buy it, of course, and not ask it here, but the thing is, im russian, and in russia the book literally couldn't be bought due to a variety of reasons. i hope you don't consider it a pirate action, because i have no choice (the book's 5th ed. is requested in the online course im working through rn)

[daring wolf]

asking for pirate materials are not allowed its against discord tos. the server will be cooked if we do that. please remove the message
also re-selling ebooked stuffs is considered illegal

[gusty roost]

Just curious, does anyone have a good site for buying used textbooks?

EBay and other places seem to just sell them for list price new

[wicked flicker]

i honestly just go to my local biblio for used textbooks

[daring dock]

Amazon

[near jewel]

Depends on where you live. Usually if you're in a school group (say, Facebook), they usually would sell their own textbooks.

[digital onyx]

is there any interesting analysis book that teaches differently then the major books
Not that give a different definition of Cauchy sequence but more storylike instead of def-prop-lemma-the-coro style book

Isn’t every book of that style?

[timber mesa]

have you checked out Abbott's Understanding Analysis, that one comes to mind

[tiny gulch]

I think David Bressoud’s book might interest you

[timber mesa]

I have another in mind that follows the history of analysis but I forgor title

[digital onyx]

I want a book like “in () time, there’s a need for specific problem so () people invented notion of () for this question and

[tiny gulch]

“Calculus reordered”

[digital onyx]

Yes I have done that one already

[timber mesa]

actually the one I'm recalling might exactly be Bressoud's

[tiny gulch]

For context this fella was the former president of the mathematical association of America

https://youtu.be/w5HR27zSEXI?si=LJPujMjw5JXZR8Xd

Here’s a talk by him I found fascinating, you can watch it to see if his style piques your interest

[digital onyx]

I found this is interesting in particular one understands historical context of certain knowledge and why they emerge both in term of mathematics and in term of motivation (which is a huge thing I found that is a part of mathematics but not mathematics) and thanks for the book by bressoud I will buy one

I have nothing but a lot of time 🫣

Like, I actually reconsider it a bit, and decided that introductory analysis is an abstract thing if one doesn’t know why epsilon-delta is necessary in the first place and what problem this solves despite its arithmetic nature

[gray gazelle]

<@&268886789983436800>

[remote knoll]

That's safe

[molten gulch]

I'm not encouraging piracy

nor am I explicitly giving links to piracy sites

and "means" could very eaisly imply used book shops, ebay, smaller amazon sellers, whatever

[gray jungle]

you're alright

[remote knoll]

Saying that it's possible to pirate something isn't actionable, so this point is a bit of a non-sequitur, and also dishonest, we both know what you meant, but that's ok

[molten gulch]

True

[zealous coyote]

You didn't really have to defend yourself

[zealous coyote]

So what's the name of your main account?

[remote knoll]

Thanks for the report though! I don't want this to come off as you being dogpiled.

[molten gulch]

I know, we're trying to work on it, whenever someone says anything, trauma reaction -> we must instantly defend ourselves wherever possible /g

[gray jungle]

might be too slow for you at this point, but i still recommend terry taos book

at least thats what i used before switching a metric space book

[remote knoll]

You might be interested in Real Analysis: A Long-Form Mathematics Textbook by Cummings

[old elk]

GA?

[molten gulch]

geometric algebra

[remote knoll]

@digital onyx since you mentioned Cauchy Sequences, he's his treatment of these

Or the beginning of it

[hard dove]

This book looks similar to the thomas calculus book. Who is the author?

[fickle whale]

Geometric Algebra, you listed Geometric Multivector Analysis

[remote knoll]

Jay Cummings

https://longformmath.com/

[hard dove]

Every cauchy sequence is sequence but not every sequence is cauchy?

[hollow peak]

I would hope so given that cauchy is an adjective describing specific sequences

As a counter example: a_2n = 0, a_(2n+1) = 1 is not cauchy

[hard dove]

That proves my statement.

[hollow peak]

Yes. A counter example to the statement "all sequences are cauchy"

[old elk]

They are related, and there are sections where they explain exterior algebra quite well.

[fickle whale]

No I'm saying Geometric Multivector Analysis is Geometric Algebra, I got the book

[shadow scroll]

Reference book you use for analysis on R and analysis on R^n?

[molten gulch]

Please check pinned messages for this channel

[molten gulch]

Me

[rigid trail]

Me

[old elk]

What is the book you mention?

[old elk]

Do you know Elon Lages Lima's book?

[fickle whale]

Geometric Multivector Analysis by Andreas Rosen

I like it

[torn blade]

Oxford University has much of their math course material publicly available you should include that :3 https://courses.maths.ox.ac.uk/course/index.php

differences between what and what

Michaelmas, Hillary, Trinity are terms throughout the academic year, basically autumn, spring, and summer. different courses are taught during different terms.
prelims is 1st year, part a is 2nd year, part b 3rd year
part c is 4th year i.e. masters year

not an Oxford student so i wouldn't know

Cambridge has all their problem sheets available, i like their problem sheets alot they're v interesting

[oblique hatch]

Not quite true for some pure iirc
But a whole lot of them from past years are, and they barelt change them anyway

[torn blade]

ah ic, all the ones i wanted to look at have had sheets at least

maybe slightly old ones but if they dont change much its fine

more unis should publicly share their resources methinks ...

[oblique hatch]

Agreeses

[torn blade]

and the government should subsidise educating home students so that poor people can afford university

[civic niche]

hey all gonna go through my calc stuff using james stewart, is it well ordered to the calc 1-2-3 setup? or is it a bit of mix and match?

[torn blade]

i'd prioritise home students alot more, we need to give lower income individuals the ability the skills to enter the workforce. but of course id have no issues with some of the brightest ppl around the world studying at our universities. id just make sure its more tied to skill than simply your parents income because right now its just alot of rich international students who get to be educated here 😭

[civic niche]

i’m in the uk so the curriculum is different i’m just trying to speak in american terms lol

[molten gulch]

It is the most commonly used calculus textbook in the world, you'll be fine

[civic niche]

yippeeeee

i am an engineer

🤣

no i’m 3rd year university

hated a levels i did indeed mess them up badly

everything since for engineering has been self study

[wet sentinel]

actually there are places where public universities are free/almost free. For example in brazil they are totally free, you only have to pay for the fee of the entrance exam which is approximately 200 R$ (something like 40 USD). Also in lebanon you pay something like 100$ for the whole year. I think there are probably other places like this

ohhhh thats nice

[slow roost]

they probably have a newsletter you can sign up for

[normal crystal]

#book-recommendations

🤡

tbh, that is really how I usually know

[normal crystal]

I looked to see if springer link had a newsletter

https://www.springer.com/gp/stay-informed-with-springer-alerts/54290

gg

I guess Princeton has a flash sale on different books every month starting on the 15th
there is a link for a newsletter on the bottom too
https://press.princeton.edu/sale/flash-sale

[south flare]

book

[daring lake]

its a relaxing read

[deep moat]

Daniel J. Velleman's book on 'How to Prove It' is it recommended?

[torn blade]

what are some Abbott-like books

in any field of maths

i enjoy his style alot

[tender river]

barry simon comprehensive course in analysis, john benedetto integration and modern analysis have a similar vibe

[vital bane]

Oh really?

[vital bane]

Based Abbott enjoyer

I think a similar style book is "A user friendly introduction to lebesgue measure and integration"

by Gail S. Nelson

[blissful kernel]

Any recommendations for a pop maths books🐱?

[sacred thicket]

Visual complex analysis😼

[daring wolf]

R. Hartshorne Algebraic Geometry is a hot take

[gray gazelle]

guys please help i just came back to self teach myself mathematics i am using openstax free textbooks could you please give me the correct sequence in reading them?

[remote knoll]

@gray gazelle what level of math are you at?

[blazing holly]

For anyone interested in complex analysis i found this: https://complex-analysis.com

[wild blaze]

Not book but any recommendations on how to start Python if interested in pure math research? I heard it’s still good to know

[willow merlin]

I need a book on congruent systems and Chinese reminder

[near jewel]

You could start with a Python beginner book. For pure math, usually you’ll need the modules: numpy, sympy, pandas and matplotlib.pyplot.

If you want to visualize data more (more over to statistics branch), and applying regression, the module scikit-learn will be needed.

[quiet halo]

Anybody know how to work goody

Godot*

Weird autocorrect

[normal crystal]

there are so many places dedicated to game programming and even Godot specifically
you should look there

[tawny crater]

"A vert short introduction to mathematics" by timothy gowers

"concrete mathematics" is a fun book.

[tulip halo]

Can anyone suggest a book for calculas as a beginner

[vital chasm]

Problems in mathematical analysis by demidovich is a good problem book, slightly hard

For something easy maybe kahn academy

[obtuse walrus]

Thomas calculus

[obtuse walrus]

Ya good book but that is a quit rare one .the online problem for me is that it's harder for to get the physical version than the problem in the book

[vital chasm]

Online shouldn't be too hard since its out of copyright i think

Its a very old book

[obtuse walrus]

Yeah I used that book pdf myself

I tried to get hardcopy

[novel seal]

hey everyone! its my second semester in 1st year uni right now and im doing a linear algebra unit. ive never had trouble with linear algebra in the past bc in yr11 and 12 it was mostly just vectors and not much to do with matrices (besides a bit of gaussian elimination). so a lot of this stuff feels new to me

my lecturer has compiled some (VERY comprehensive, btw) lecture notes. here's a sample.

now my problem is, i dont understand a lot of it lol 😭 it feels soooo rigorous and not too intuitive imo

i don't know if all of linear algebra is like this/if all linear algebra textbooks are like this, but im looking for a textbook that makes all of this intuitive, while also keeping the rigorous aspect. does anyone have any recommendations?

here's the contents (its still unfinished, he updates them as the semester goes on)

here is everythign we do in the unit

does anyone have any relevant recommendations? ty

[novel seal]

like, reading this takes a lot of energy out of me and even then sometimes i dont understand it

[leaden hearth]

to me looks like ur covering a lot of other stuff not usually covered in an intro lin alg course

(well im in Canada, so maybe its very different)

i think linear algebra done wrong by axler is the most common recommendation

but it doesn't cover a lot of the stuff in the contents

[leaden hearth]

yeah im not surprised some of the stuff here is covered in third year courses in my university

[novel seal]

i think most of this is like

well we're mostly tested on the linear algebra part of this unit 😭 idk if that makes sense

[leaden hearth]

ok yeah that makes sense

[novel seal]

so im not too worried if a book doesnt contain stuff like what isa field or a ring etc

[leaden hearth]

linear algebra done right should be good then

[novel seal]

i researched ab that and people on reddit are saying its not good as an introduction

[leaden hearth]

do you want something more computational?

[novel seal]

my unit is called advanced linear algebra 1 if that helps ig 😭

[novel seal]

i want a textbook that introduces linear algebra intuitively while keeping its rigorous aspect too

let me see if i can find the post for linear algebra done right

also i can send the pdf of the lecture notes if that helps

[leaden hearth]

ok

[novel seal]

https://www.reddit.com/r/learnmath/comments/1mtmb3l/linear_algebra_done_right_not_that_useful/

"good book for a second course in linear algbera" but this is my first 😭

[novel seal]

chapter 3 onwards is what im mostly worried ab

1 and 2 arent a problem

[leaden hearth]

yeah i think usually a first course in linear algebra focuses more on computation and the second will be more theroatical

[novel seal]

ohhhh

[leaden hearth]

but you are doing an advanced course so they're kinda skipping the computational parts

[novel seal]

sorry this might be a dumb question but whats computation mean

it means like js doing/grinding right? not much theory involved

[leaden hearth]

ye pretty much

[novel seal]

righttt

[leaden hearth]

like "reduce this matrix to rref"

or "find a basis for this subspace"

[novel seal]

man all the past tests were ALL computation

except for the test WE had

[leaden hearth]

oh ok lmao

[novel seal]

like ill whip them out rn look at this

2023 test

another 2023 test

but OUR test

was

ok there was a bit of computation

[molten gulch]

These don't seem too horrible

[novel seal]

but the last question was like "give the precise mathematical definition of hte following" and im like yo 😭

[molten gulch]

what was 'the following'

[novel seal]

i dont rlly remember

i think one was like

linear independance

which i think i got right

another was

intersection of subspaces

and i forgot the third

like i could define them in words but i couldnt remember the precise definition for the life of me lolol

[brazen grove]

I am trying to derive conic section equations from plane and cone intersection and failing… does anyone know where its already done

[molten gulch]

(A \cap B \coloneq {a \land b \colon a \in A, b \in B})

[novel seal]

yeah hahaha i looked at it after 😭

ty tho

[hasty eagle]

Ryan (They/She) (TCC)

[novel seal]

its js that like

my point is a lot of this doesnt feel too intuitive to me

and feels too rigorous

thats why im looking for a textbook which has the intuitive aspect to it

[molten gulch]

This is how LA should be, in my opinion; the applications can be derived quite easily if one knows the theory

[leaden hearth]

yeah id recommend trying a less rigorous textbook and reread your textbook afterward

[molten gulch]

Like a square matrix which represents a linear endomorphism wrt a given basis is just going to be [T(e1), T(e2), T(e3), ... T(en)]

[novel seal]

ion even know what endomorphism means 😭

if we've learnt that then im behind rn

[novel seal]

ohh i see

[molten gulch]

Linear transformation from a vector space back to itself

[novel seal]

idk it js feels a bit much as an introduction

[novel seal]

im watching gilbert strang's mit lectures on youtube and yes they are very intuitive but they lack the rigor that my teacher uses 😭

[novel seal]

ohh lol

so the identity?

[molten gulch]

no, square matrices of full rank is more what I was thinking of

[novel seal]

oh haha i see

[leaden hearth]

yeah hopefully if you watch them and then read the textbook it should feel better?

maybe not

[novel seal]

yeahhh ill see

anyways im going to bed now ill look at LADR tmr and see

ill look at linear algebra done wrong too and see that too

thankyou

[wheat remnant]

is friberg insel spence the best linear alg book? also what's the best book for probabilities and discrete probability?

[wet sentinel]

personally i dont like FIS much, i prefer something like werner greub's linear algebra

People may say that greub's linear algebra is like a reference book but idk i think it is a very nice and good book so far (i was at the first few chapters before i stopped linear algebra temporarily)

but this book is a hard hitter, maybe you dont prefer books of this type idk. I chose to use it bc it works over any field (of characteristic 0) and bc it is a hard hitter

[molten gulch]

I personally like FIS and LADW quite a lot, as yassine mentioned greub is also good but WAY WAY harder and IMHO is a good fit as a reference text on linear algebra, I can't stand Axler fwiw

[wet sentinel]

i also like the writing style

that being said FIS is a very good book

[wet sentinel]

yea i dont like Axler LADR at all too

[molten gulch]

IDK what it is about LADR but I just...really can't enjoy it

[tiny gulch]

I’ve heard a bunch of bad things about it

[wet sentinel]

tbh its the same with me . Although i dont even remember any details about the few part i read from axler (in terms of how it was written/treated in the book) since i tried it years ago

[molten gulch]

What did you read to study linear? /genq

[tiny gulch]

Lecture notes and 3b1b’s videos

[molten gulch]

oooh

[tiny gulch]

Also STEP preparation

[tame tree]

axler calls itself a second course on linear algebra (presumably following a computational one) but i think the exercises are too hard if it's your first proof based linear algebra class and perhaps too easy if it's your second proof based linear algebra class

comparatively, FIS offers more scaffolding in its exercises by breaking up the same exercise up into parts

[torn blade]

if u want a differing opinion i like LADR :]

i think it’s my favourite actually

[remote sparrow]

meckes goated

[torn blade]

i never actually did a “computational course” in linear algebra before doing general linear algebra

well i guess i did do it in A-levels

[wheat remnant]

You guys are amazing. And probability?

From the approach of someone who finished undergrad comp sci but wants to perfect the fundamentals

[tiny gulch]

I prefer LADW

[near jewel]

What is the purpose for your probability knowledge? Generally, or spesific to CS (say, AI)?

[wheat remnant]

Ideally quant type discrete probability and ai stuff yeah

[sage python]

LADR in 4th edition is basically fine

I still don't really think doing char poly over C without determinants makes a ton of sense conceptually, but at least he doesn't pretend anymore that to do char poly over R you have to complexify

And the fact that he uses multilinear algebra for determinants is good

Yeah it's definitely something new to learn but conceptually it's what's "really going on"

[plucky finch]

Any good books on set theory

(I know the normal bits and pieces of set theory just wanna get a better understanding)

[flat plaza]

Shen

[near jewel]

For AI statistics, I would recommend "All of Statistics". I'm not sure with discrete probability, if it's statistical learning, I would use "An Introduction to Statistical Learning" to take a brief overview (it's pretty fundamental, so you could just jump). Other recommend "The Elements of Statistical Learning", which is more actual statistical learning with math explanations. I haven't read ESL, so I can't give you an opinion on that.

[foggy quest]

For AI theory, this book is good: https://www.di.ens.fr/~fbach/ltfp_book.pdf. It's a bit advanced

[trail juniper]

Does "Global" edition have any useful meaning?

[lapis sundial]

Lmao what

I am grateful my lin alg was always over an arbitrary field

[remote sparrow]

it may signify that the book uses SI units rather than U.S. customary units. it could also mean the copy is intended for sale in non-U.S. markets; hence they may be cheaper

[wheat remnant]

YOU ARE GOATED

[wheat remnant]

and what about general probability fundamentals?

much appreciated on those btw im def going to check those @near jewel

[remote sparrow]

https://stat110.hsites.harvard.edu/

[trim surge]

Set Theory: A First Course by Daniel Cunningham

[supple mirage]

I need a book that covers strong fundamentals of aerodynamics do y'all have any book recs in that topic?

[remote sparrow]

https://tenor.com/view/i-saw-what-you-deleted-cat-gif-25407007

@green aurora

[reef wadi]

Hello, i just started university and have a lot to catch up in math classes
I asked my teacher what book of exercise i could use in my free time and he recommended me anything from the schaum's series

https://www.amazon.fr/Schaums-Outline-Mathematics-Applications-Technology-ebook/dp/B00U21B6AA/ref=mp_s_a_1_1?crid=2MKS1CFAZO5TW&dib=eyJ2IjoiMSJ9.tJZdjaXap5lE07ig8d3_kaI1BNVfNCxJm19uOquIKN6MGQuYzGp7-YmthtPNY-ELG_AJSYQNJEUpituzrCgWIBouE7USbK4BsopxJ4ICe2dMXSsJN_mfWbsz7qZPxqDanQNdHQON6ZXxuI6TAEtnsYHCAO4enHflCT4rVTANY4vWQC6Tm8PwgVWI7GRAztF6nwqGKrqm6wMrLr8nOXYOQA.iF4hYQetEjNguCUjh4WNRj9nedJk7mkzLNQjGEeZIzU&dib_tag=se&keywords=schaum's+basic&qid=1758272805&s=books&sprefix=schaum's+basic%2Cstripbooks%2C79&sr=1-1

Do you think this would be a good way to start ?

[foggy wolf]

Honestly just take any book that you find good

i have a good book rec for non rigorous examples

if you'd take that

[reef wadi]

What do you mean by non rigorous

[foggy wolf]

i mean something that wouldn't require too much previous knowledge to inderstand aside from some basics

also considering that it covers pre calculus as well

Thomas' Calculus 15th edition is what i'm referring to

[reef wadi]

I would absolutely take that

[foggy wolf]

then I think you might find Thomas' Calculus good

[remote sparrow]

holy metadata vomit

[reef wadi]

I see thank you

[vagrant spear]

yo

i new

[south flare]

wsp

[glossy cove]

can anyone recommend a short but good book on analytic geometry? (lines, conics, circles, some vector stuff, and maybe some transformations)

[crimson pasture]

recommend me a book

[rich sun]

kms

[viral knoll]

S L loney plane analytical geometry is a pretty decent one

For transformation geometry imo coexter's "geometry revisited" is a good pick

[glossy cove]

sl loney is just hard to read, its way too old, not properly type-set, and obviously its a rather "old-book" content wise aswell, despite how classic it is.

i like to not have the rage of a thousand suns upon my eyes when reading a book

[supple mirage]

A Brief Course in Analytic Geometry by N. Yefimov worked for me.. you can dm me and I'll send you the pdf

[glossy cove]

yeah i am aware of that book, it suffers the same problem as sl loney.

i am nitpicking, but why are all the analytic geo books so old.

[supple mirage]

Oh well.. analytic geometry isn't really taught as a standalone course anymore. Its core topics were so fundamental that they were absorbed into the modern pre-calculus and calculus curriculum..

[cold forum]

What are good supplementary texts for computational linear algebra? The required text doesn't seem to have much material beyond the lectures

[normal crystal]

https://web.stanford.edu/~boyd/vmls/

[cold forum]

Thank you

[viral knoll]

LMFAO fair fair, if you have basic ideas, coexter is a good pick for you

[cosmic kiln]

Does anyone have any recommendations for comp maths books

Preferably something which helps towards competitions like bmt and hmmt

Apart from the aops books

[radiant ice]

Any book recommendation to improve general mathematics for junior High school students

[near jewel]

Would probably go for “how to solve it”.

[steel frost]

I just started studying at an aerospace university, majoring in rocket science. are there any books like "math for engineers" or smth? my math skills are already neither bad nor great, like I can handle curvilinear integrals, matrices, and differential equations, but still afraid of group theory, advanced topology etc. thanks in advance

[radiant ice]

That's great coz I already have that but never touched it though any other good recommendation

[young thorn]

evan chen has good chapter on it

[cursive orbit]

there's a lot of "math for engineers" books, but typically i would say it's good to learn the material as you need it

or perhaps you should look at "math for physicists" books