book-recommendations

[trail hemlock]

learning calc well is very rewarding dude

[mild arrow]

by the way... im using the book in conjunction with a course from OCW

[trail hemlock]

yeah thast all the computations ur gonna need lol

[full pier]

watch 3blue1browns playlist on the essence of calculus it could help with intuition around the concepts

[molten mason]

Brian McLogan and Professor Leonard have great calc lectures on YouTube. BlackPenRedPen also has hundreds of hours of calc problems being solved

[trail hemlock]

YES YES

bprp has videoson videos of like "solving 100 integrals" or "solving 100 derivatives"

literally the computation final boss

[full pier]

black pen red pen is my lord and saviour

[molten mason]

6 hours straight

[mild arrow]

def know them but, i still want a textbook 😭

[trail hemlock]

do that for each unit in spivak and you will be golden dude

[molten mason]

I wonder how much BPRP makes off YouTube. At least 6 figures

[trail hemlock]

gotta be

[mild arrow]

HELL NO. i've hear about spivak's psets and they are terrifying.

im gonna use stewart's psets and maybe a lil bit of spivak's for the hard ones

btwww, which book should i use for calc 3 after spivak's?

[abstract copper]

His calculus on manifolds book is nice

[mild arrow]

does it cover all of calc 3?

[abstract copper]

Do you want a theoretical approach or just computations?

Cause all of Calc 3 is literally just Stokes' theorem

If the first then Spivaks is one of them

[mild arrow]

theoretical would be great

[abstract copper]

Another one is Munkres analysis on Manifolds

[mild arrow]

(that might be a bad idea since im aiming to be an engineer, but the applied approach can be learned in my uni in the future)

[abstract copper]

But the problem sets are terrible

[trail hemlock]

the point of spivak's book is to be able to do the problems

using spivak to do computations is not only pointless, it defeats the purpose.

if you want to do computations, stewart's book is an excellent choice

as for calc 3, hubbard and hubbard seems to be the standard rec

[full pier]

just work from both textbooks, that will give you a better understanding anyway

[mild arrow]

alrighttt, i feel like that's the best option for me too

[mild arrow]

alrr lemme check it outt

[tulip saffron]

Is Linear Algebra and its Applications the best book for linear algebra?

[gray gazelle]

Any good book to learn about precalculus f with ALOT of exercises and easy to underestand

????

[modern ruin]

you should allow yourself to explore your interests. there’s nothing wrong with knowing theory (especially since it lends itself well to the “applied style” of engineering lectures or books, but that’s just my opinion, of which i hold many)

[mild arrow]

that's what i generally thought tbh, but i really like learning the core concept itself in the topics in math, i feel like if i do so, it will be "weaved" into my brain and i can actually see the connections it has on other topics as well. to do so requires me to approach a topic more on the "deriving" side.

[mild arrow]

i used precalculus by stewart (7th ed.) and it's a solid book to learn precalc

[modern ruin]

this is exactly why math is so enjoyable

[mild arrow]

yupp!

[gray gazelle]

Thanks! How much did it take you to complete it tho?

It's my first time reading such a big book

[mild arrow]

i just finished it recently xD and I'm moving on to calc, it took me a month to finish, but do note i was studying it for around 3 lessons per day everyday

[gray gazelle]

And I noticed that there's a student resources section at the beginning of the book. Do you know how can I acces them?

[mild arrow]

what page was it? never noticed one

[gray gazelle]

21

[mild arrow]

oh those are another books

you don't really have to get them

[gray gazelle]

Oh, Okay thank you!

[mild arrow]

no problem!

also here's a tip, search some video lectures about the book and watch the lecture before reading the lesson itself

it makes things way faster

[gray gazelle]

Okay!

[tawny copper]

What is a good book that discusses Godel's life and his mathematics (not in detail ofc, just the "big picture")?

[willow merlin]

rigurous book for real analysis that is not Pugh, baby rudin?

also does measure gets taught in RA course?

[tawny copper]

You can search for similar messages

But Abbot is a popular choice

[willow merlin]

best measure theory book?

[tribal crow]

Axler, Papa Rudin, Folland get recommended a lot here

[tawny copper]

Idk a lot of measure theory but I like Bass/Cohn/Folland, all popular. Bass is less talky and more problems

[willow merlin]

papa rudin u mean complex analysis? im not ready yet

I will take a look at the recommendations, thanks

[uncut crater]

Federer

[fresh skiff]

Abbott is also rigorous
Btw we have other choices too like Amann

[fresh skiff]

Maybe Axler.
I am reading it (CH1) since 2 days lol

[karmic tide]

Hi i need a good book which can give me a solid foundation in math,calculus,algebra,trigonometra etc since i graduated from high school and I am going to college in America, and many people say America doesnt give a good curriculum in math. So any advice?

[trail hemlock]

tao is a good one

[trail hemlock]

there is no american math cirriculum: it dpeends on the quality of your school.
with that said, Lang's Basic Mathematics (i think its important to mention lang graduated from an AMERICAN high school)
alternatively, the aops series takes you from prealgebra to calculus.

[karmic tide]

tysm

[willow merlin]

I have a physical copy of I and II I really like it, what do you think of bartle

[trail hemlock]

I HAVE A PHYSICAL COPY TOO

THE REDCOVER IS SO PRETTY

never read bartle, sorry

[molten mason]

Yeh

[trail hemlock]

yehhhhhh

from my brief glance over chapter 1 it seems handholdy

[molten mason]

https://archive.org/details/realanalysistheo0000yehj

3rd edition is $82

Think I'll buy it in a few monthd

[loud cradle]

this probably assumes the first 7-8 chapters of baby rudin, no?

[modern ruin]

i also have a physical copy of I and II, i really really like the covers as well

really everything about those books is aesthetically pleasing

[gray gazelle]

Browder

[normal prairie]

Hey guys I just want to get some input on my experience, I've finally finished How To Prove It and it took me 3~4months to read it fully

Is that normal or am I an exceptionally slow reader

[trail hemlock]

so long as you leaned the material to the best of your ability, what does it matter how fast a reader you are?

[ashen compass]

perhaps the only biology textbook with content on category theory

[normal prairie]

To have the maximum amount of information in the shortest time possible

[loud cradle]

alas, if you go too fast you won't really absorb the knowledge

[abstract copper]

To quote Axler, 'If you zip through a page in less than an hour, you are probably going too fast.'

[trail hemlock]

might be wise to remove the site name and not send copyrighted material in a public server

the dmca be everywhere

[trail hemlock]

it’s not a competition. i learn it or u don’t. speed has nothing to do with it

(paraphrasing what she said 😭😭😭😭😭)

[normal prairie]

Well, thanks for The input, but what I meant by as fast as possible is that for example in 1 or 2 y I would love to have a lot of math knowledge ( as much as possible)

[modern ruin]

don’t worry about the time frame (i know it’s hard to do that but seriously it’s way better for you)

also what you said wasn’t specific. what do you want to accomplish in 1 or 2 years?

[signal mountain]

ill say two things:
its not a sprint, its a marathon - youre going to be better off spending the time, however long it may, to ensure you truly understand and learn. you can/will get faster but thatll mostly come from time and experience

set SMART goals - you dont have to use this paradigm, but you should definitely be intetional in some way with how you set goals

• specific, be precise in what it is you want to do and why
• measurable, you should know when you have completed your goal
• achievable, is it possible to meet the goal
• realistic, is it realistic for you to meet the goal
• timed, when do you want to accomplish this by
  a good example of a SMART goal in maths could be "i want to work through 'linear algebra done right' doing at least half of the exercises and understanding all of the major theorems. i want to learn LA to better understand the foundations of machine learning. i want to do the first chapter in a month"
  note also its likely better to set shorter time goals, as then you can adjust for the next one. also the breaking down of large tasks into more achievable can make it less daunting and easier to start

[gray gazelle]

I have problems with setting the "why's". It's because i think my reasons aren't at a good level my goals.

[signal mountain]

the why doesnt always have to be super deep, can just be 'because i think its interesting' or 'i enjoy it'

[gray gazelle]

Thx :].

[dense ore]

a good book for pre calc trigonometry

[native cradle]

s l loney maybe

Is lang good for undergraduate calculus?

I've heard that name somewhere before

[dense ore]

thanks

[iron badge]

Any introduction to differential equations?

[formal bronze]

If you know linear algebra and some real analysis, then Perko is a great introduction to differential equations

[tawny copper]

bump

[strange briar]

this helpful ima download it online

in exact same boat

[foggy quest]

https://mtaylor.web.unc.edu/notes/math-521-522-basic-undergraduate-analysis-advanced-calculus/ single variable book here is good

[foggy quest]

https://mtaylor.web.unc.edu/notes/math-524-second-semester-ode/ good book. Higher level than most introductions.

[molten mason]

Oh yeah, I meant to add some more context with but had to leave discord for something IRL

[pallid gull]

Best youtube channel and books to learn mathematics on your own?

[signal mountain]

what kind of math do you want to learn

[weary mountain]

What's a good book for linear algebra. Every book I've seen is so bland and esoteric. And handed down from on high. What's a good book that actually motivates the structures and not just is a book of yapping.

[static prism]

been interested in category theory and a bit also in topology (never really learned it). "topology a categorical approach" seems interesting since it seems to potentially cover both.
how much category theory does it assume knowledge of, or does it teach both?

also considering category theory in context, but not sure what kind of requisite knowledge it requires.

[narrow relic]

The first 150 pages or so of Poole's Introduction to Linear Algebra are pretty good (it might be 200 pages for the 4th edition, the one I used was the 3rd)

[fervent marten]

is reading aops geometry good for amc 12/mid aime?

[trail hemlock]

yes

its excellent

[fervent marten]

is it better than intermediate alg?

[trail hemlock]

they are on different topics

[fervent marten]

yeah but authors are different

[trail hemlock]

the book are both very good

but its apples to oranges

[foggy quest]

https://mtaylor.web.unc.edu/notes/linear-algebra-notes/ is good. The best books for motivation of linear algebra will not be linear algebra books. They will be books on subjects that apply linear algebra. Two major ones are differential geometry and statistics.

[gray gazelle]

he has two books afaik, "a first course in calculus" and "calculus of several variables". i've done some of the latter and i can recommend it, but i'm a huge lang fan

so i may be a bit biased

[iron badge]

Are we able to post about recommendations of quantitative finance books since it contains mathematics and statistics? Or is that another discord chat

[remote sparrow]

you can talk about any books

[remote sparrow]

https://www.reddit.com/r/math/comments/uu7g8e/prerequisites_to_category_theory_in_context_by/

https://old.maa.org/press/maa-reviews/topology-a-categorical-approach

you can look at awodey, leinster, or simmons as well

[static prism]

thanks! I think I'm gonna do the topology a categorical approach and see how far I can get using riehl as a supplement

[remote sparrow]

you should consider looking at munkres for topology as well

there are substantially more resources available for it as it is a standard text

[static prism]

yeah I have that one and I looked through it a bit last year before I swapped to being more applied. but now I'm going back for a little summer reading.
I'm using this more as an excuse to learn some category theory and topology than to seriously learn topology

if that makes sense

[remote sparrow]

#foundations message

feel free to look up what topology is actually necessary for you and pick and choose what to read from munkres

[torn crypt]

Easiest answer in looking for prerequisites is to look at what’s cited in chapter 1 or similar introductory sections tbh

(Sometimes they lie because the authors are delusional about what an average undergrad knows, but still)

[remote sparrow]

there is also pressure from publishers on authors to understate prerequisites so as to appeal to a larger market

[torn crypt]

Ye of course, but also say “introductory for graduate students” to ego stroke

[torn crypt]

But I was referring to authors who make asssumptions that the students know XYZ things

[modest wasp]

guys

if u want to learn more abt sudan, real A LONG WALK TO WATER

[strange sentinel]

Who in particular is this a jab at

[torn crypt]

Ah I read a review of uhhh Sarabadhikari where they said it was delusional to think undergrads would know some valued field tech

[strange sentinel]

Lmfao

[dapper root]

Lmfao

[torn crypt]

“Lower undergrad” iirc

[trail hemlock]

hi sharp

ur a sharp fellow

kek

[strange sentinel]

Did he actually advertise it for lower undergrad 😭

[torn crypt]

If I can pull it up I’ll check

[desert walrus]

can someone join my friends call and torl them

troll them

please

[tribal crow]

no.

[normal crystal]

this is #book-recommendations so here you go
https://www.amazon.com/Art-Trolling-Complete-Freshwater-Methods/dp/0070572356

[zinc thistle]

Does anyone have a recommendation for a differential geometry / topology book that is relevant in the scope of quantum field theory? Not looking for something just on curvature or classical geometries

[gray gazelle]

Loring Tu would help for general differential geometry

https://www.amazon.com/Differential-Topology-Quantum-Field-Theory/dp/0125140762

This is good if you don't want to specifically study proofs and just understand theoretical physics in general.

Though there have been developments in diff geo since this book was published so some stuff could be outdated.

Also does anyone know any good books for ergodic dynamics or chaos theory or similar stuff

I kinda like studying this stuff for some stupid reason

[gleaming summit]

anybody know a book that i can learn olympiad level algebra from? im looking for something that has problems and solutions/techniques to learn from

[native cradle]

any suggestions for Undergrad books in algebra?

oh, and combinatronics too( this is an elective at my uni, so please suggest a book that goes into comabinatonics in great depth)

[native cradle]

Thanks!

[gray gazelle]

do you want a very gentle introduction or the standard?

[gray gazelle]

is the course leaning more towards enumerative combinatorics or graph theory?

[heady ember]

Look in pinned for Dami's recs

[native cradle]

no idea, I'm going to start my UG this year

[native cradle]

standard

[native cradle]

thanks!

[gray gazelle]

i highly suggest checking the course webpage, provided there is one

[gray gazelle]

^ i'd say this though, but i would offer you something more gentle to get an "initial taste" for group theory that's fun to read and covers quite a bit as well

[gray gazelle]

because you could get away with using two books; one for graph theory and one for enumerative combi

[native cradle]

I'd like to learn as much as possible , so the more the better

[gray gazelle]

in that case, https://mathweb.ucsd.edu/~ebender/CombText/

this is the book I used when I was studying combinatorics

[native cradle]

This is legal, right?

[gray gazelle]

yeah

it's available online for personal use

[native cradle]

thanks!

[heady ember]

Dover

[gray gazelle]

no worries!

[heady ember]

Am I blind or is there not a combined pdf for the whole book

[gray gazelle]

i think there isn't one there, but you can probably find one using other methods

[heady ember]

Ah I see

"other methods" heh

[gray gazelle]

indeed.

[heady ember]

The seven seas await

[fierce hedge]

One of the iisers?

[uncut crater]

Yep

[fierce hedge]

Mann, studying all science courses for 2 years is sham

[uncut crater]

It totally is

But can anyone convince the tards at the top that interdisciplinary research is nothing but a fashionable term?

I hate the board and deans

[fierce hedge]

I mean it exists but random things don't mix, interdisciplinary research requires a very good understanding of both the fields

[uncut crater]

And, can one expect that from a graduate?

[fierce hedge]

Lmao, absolutely not

[uncut crater]

Especially one that has to cram subjects in 2 years

It's totally irrelevant for math

[fierce hedge]

The most interdisciplinary at niser was my guide using ML in economics survey. Like bruv what was even the point of that

[uncut crater]

Lmao

NISER has a good faculty, way too many analysts tho

[fierce hedge]

Good

[uncut crater]

Are they receptive of cold mails?

I haven't tried anyone from NISER

[fierce hedge]

I better person to ask will be @novel sluice

She's currently studying there

[uncut crater]

What work are you doing assuming you're a postgrad?

@novel sluice hi

[fierce hedge]

Btw better to talk in discussy

No longer relevant to books

[dapper root]

<@&268886789983436800>

[zinc sundial]

why doesn't discord delete messages omg I'm gonna cry

[split portal]

Delete seems to work for me

[heady ember]

Hi d o o t

[pliant wadi]

What can be considered a good book for a review of abstract algebra for someone who has more or less gone through D&F up until the modules section?

There's Herstein for the Group theory part maybe but what about the rest?

[vital bane]

why not D&F?

[pliant wadi]

It's too long...but yea I was looking for something like herstein

[vital bane]

Artin and Gallian are commonly recommended books

you can check them out

[vital bane]

but you've already gone throught it

[pliant wadi]

yea I did refer to artin here and there while I was taking the courses

idk

I am looking for a book with a small number of problems for a quick review

but interesting problems

like how you have 'second' course in analysis

I was wondering if there's something like that for algebra

[pliant wadi]

yea it took me like, a year of coursework to reach that point

[vital bane]

and that's only half the book....

[pliant wadi]

I mean I was taking other courses too so yea

but yea

it is dry

at times

anyways ig D&F is not leaving me alone anytime soon ig

lovely

time to go back to that tome again I suppose

[lime vessel]

Aluffi Chapter 0

[pliant wadi]

Not what I was looking for but much, much, better!

Thank you for your help, yet again

[outer wing]

https://bookstore.ams.org/text-66/
Linear Algebra Gateway to Mathematics Robert Messer

has anyone read this book? It introduces you to proofs through linear algebra

[weary mountain]

Thanks @narrow relic and @foggy quest

[remote sparrow]

#book-recommendations message

[remote sparrow]

#book-recommendations message

[remote sparrow]

review only? are books for a more sophisticated individual okay as well?

you can look at knapp and the 2nd edition of rotman's Advanced Modern Algebra

oh and jacobson i guess

beachy and blair is a little lower-level than dummit and foote, but there are plenty of more routine exercises

it also has an official online study guide associated with it

https://www.amazon.com/Basic-Abstract-Algebra-Undergraduates-Mathematics/dp/0486453561

this book has plenty of problems, and they all have full solutions in the back

[remote sparrow]

https://www.amazon.com/Basic-Abstract-Algebra-P-B-Bhattacharya/dp/0521466296

i heard this is good

[pliant wadi]

Thanks! These look very helpful. I'll check them out.

[earnest wolf]

Guyz, got no reply in #real-complex-analysis, so will post here:

where could I read some basic facts about dirichlet's series? (more like a textbook rather than wiki)

[gray gazelle]

you do know there's multiple series which are referred to as dirichlet series?

if ur a bit serious about what you want

https://link.springer.com/book/10.1007/978-1-4612-0999-7

you can try this

do know this book will come with a MASSIVE list of prerequisites

https://link.springer.com/book/10.1007/978-0-387-78753-4

this should also be good

[dusk light]

Does anyone know of any good books about algebraic and analytic number theory?

[gray gazelle]

I just posted two.

[dusk light]

I was about to say, what a coincidence

[gray gazelle]

.

[gray gazelle]

hi

how can i find the solution book of thomas calculus 14th edition ?

[molten mason]

https://quizlet.com/explanations/textbook-solutions/thomas-calculus-14th-edition-9780134438986

[trail hemlock]

we love quizlet

[gray gazelle]

i saw it but i want the book as pdf

and thx

[normal crystal]

that's against the policy here, unless it's an open resource
but I'll say, COUGH, you didn't look very hard if that's what you wanted

[gray gazelle]

ok i'll try harder

[mellow jungle]

@zenith forum

503

[vocal violet]

Getting back into math for mathematics degree after several years after high school. What do you guys recommend to prepare. I dont really remember anything from high school

[fresh skiff]

Maybe calculus

[willow merlin]

Best book for fun. anal. ??????

[willow merlin]

Maybe real anal

And proofs

[normal crystal]

you realize she said "I don't really remember anything from high school"

[willow merlin]

What do u recommend sir

[normal crystal]

probably needs to review up through precalc then calc
depends on time scale and where she wants to begin in her degree after that

[willow merlin]

Trig

linear Algebra

No?

[zenith forum]

I would start with a precalc book

Brush up on transforming functions/graphs

[gray gazelle]

Haim Brezis

if you wanna focus on how to use functional analysis in PDEs and apply it in different settings, use Haim Brezis' Functional Analysis, Sobolev Spaces and Partial Differential Equations

If you want to focus on pure mathematics theory, then use Real and Functional Analysis by Serge Lang

[torn crypt]

If you wanna minmax operator algebras, Pedersen

[gray gazelle]

Hey can someone suggest me the right book for this? I'm not really sure which one would be best for me.

https://link.springer.com/book/10.1007/978-981-16-6577-6

https://link.springer.com/book/10.1007/978-3-319-13467-3

https://link.springer.com/book/10.1007/978-3-319-64612-1

If it's not obvious, I'm looking for something on Lie Algebra.

[uncut crater]

Woit is a mathematical physicist

[gray gazelle]

And that is bad?

Or is it good?

[uncut crater]

Not really

If your goal is to study quantum theory, go for it

The exposition on lie groups, lie alg and their representations is limited in the text

[gray gazelle]

My goal is to study Lie Algebra so I can use it in stuff like Hamiltonian dynamics and quantum mechanics.

[uncut crater]

Brian C Hall is the canonical ug reference

Then go for woit

[gray gazelle]

What about the first one?

Is it not good?

[uncut crater]

No idea about the first

[gray gazelle]

Ah all right

[uncut crater]

I usually have a problem with Indian authors

It's hit or miss

[gray gazelle]

Uta, would you also by any chance know any good books for electricity and magnetism that can help me cover the gap between Purcell and Landau?

[uncut crater]

The standard text is Griffiths

[gray gazelle]

I was thinking this looks good.

https://link.springer.com/book/10.1007/978-1-4757-3679-3

[uncut crater]

From a mathematical pov?

[gray gazelle]

Purcell is supposed to be better than Griffiths I'm told.

[uncut crater]

The index doesn't seem to fit in between Purcell and Landau however

[uncut crater]

Ignore

Purcell-Morin is lower ug

[gray gazelle]

Hmm, any suggestions then?

[uncut crater]

Griffiths, Jackson, Zangwill

[gray gazelle]

Tbh I don't rlly like two of those.

The first two

[uncut crater]

Hmmm, I'll have to see

I haven't come across a purely mathematical treatment of EM

[trail hemlock]

anyone read Tao's an introduction to measure theory?

[uncut crater]

A bit

[trail hemlock]

his analysis books are excellent so i assume this is as well?

[uncut crater]

Yeah, but this one moves faster

[trail hemlock]

with the red cover 🫶

[uncut crater]

Being a graduate text

[trail hemlock]

well i was planning on folland regardless

just curious

thanks

[torn crypt]

Sussy

[uncut crater]

Amogus

[trail hemlock]

cringe

yall are grown ass ppl 😭

[uncut crater]

Frfr ong no cap

[trail hemlock]

its like watching zorn use slang

[uncut crater]

Lmao

[torn crypt]

But yeah, I’ve heard good things about Hall, never seen “Basic Topology 2”

[trail hemlock]

unnatural

[torn crypt]

For reasons I will not specify I have a pass

[gray gazelle]

I think Axler or Royden are better on that aspect.

[trail hemlock]

im just gonna follow the reading group

cuz i cant trust myself to make future-proof decisions

[uncut crater]

Heck that's top tier gronk rizz statement of all time absolute cinema 🤲

[torn crypt]

I’ve not seen Tao’s book, didn’t know he had one on this

[trail hemlock]

my eyes are burning

in agony

hope ur happy 🙄

[uncut crater]

[gray gazelle]

Basic Topology 2 is mainly Manifolds and Lie groups.

[trail hemlock]

shes the only lie group i know (this is the 10th time ive made this joke and i wont stop)

[torn crypt]

No idea on its quality

MAA or otherwise reviews are often something useful to check

[trail hemlock]

MAA revies feel copy paste after a while

"this book is aimed at a few students rather than all students, and its rare that you come across a student than can appreciate and fully utilize this book"

[torn crypt]

That’s not the part you look at

You look at when they call an author delusional, or point at the prevalence of typos, or quality and detail of exposition

[trail hemlock]

🔍

[fierce hedge]

I wish that the book had slightly harder problems as well. Most problems are pretty easy, I'd say around the level of Judson

[fierce hedge]

Honestly the quality of reviews varies a lot, some are pretty detailed while others are like, "yeaah, standard treatment, looks okay to me"

[torn crypt]

Which I mean, gotta take that into consideration, and how common the topic is, etc

[gray gazelle]

how long did basic mathematics by serge lang took you guys? weeks months?

[signal mountain]

ill refer: #book-recommendations message
basically it doesnt matter how long it takes and it will vary for each person. what matters is that you take the time (however long that may be) to fully learn and understand the content

[gray gazelle]

i want to do 6 chapters in a month...

[gray gazelle]

He doesn't have a basic mathematics book.

[signal mountain]

he does

[gray gazelle]

And none of his books are basic in nature, I'm gonna be honest.

😭

Except ig the short calculus one

Never bought a book for that

[signal mountain]

#book-recommendations message

[signal mountain]

whats your background

what are you trying to achieve - e.g. which 6 chapters, is this just for quick recap or to learn this for the first time

[gray gazelle]

learn for the first time in basic mathematics by serge lang

well I'm an incoming 8th grade

[signal mountain]

which chapters

[gray gazelle]

well i want to do everything in order

[signal mountain]

ok so chapters 1-6

have you looked at the chapters, or is 6 just an arbitrary number

[gray gazelle]

just an arbitrary number

i dont know the difficulty of the things

and yea it's really hard

[signal mountain]

^

what maths have you done

[gray gazelle]

my highest thing i have done with self study on course from CodeAcademy the College Algebra is Rational Equations

[signal mountain]

so like (ax + b)/(cx + d) = ex + f or something

[gray gazelle]

i have stopped actually from the book like i did tried the "preparatory material for calculus and I've struggled on the chapter 4 of quadratic equations"

[signal mountain]

ok well you can probably skip most of chapters 1-3 then

skim it, do a few exercises just to be sure

[gray gazelle]

but I've skipped some proof problems like

module 5

modulo 5

idk

the proof

and yea i think I've mostly forgotten things out

it's really giving me a hard time

[signal mountain]

what is?

[gray gazelle]

understanding the book

[signal mountain]

lang?

[gray gazelle]

yea

[signal mountain]

which part

[gray gazelle]

idk what specific technique i should do

i think i really need it

[gray gazelle]

in rational numbers the proofs

[signal mountain]

then i suppose theres your answer on where you need to put your time

i dont think its reasonable to have the goal of 6 chapters in a month

[gray gazelle]

yea

4 chapters mayne

maybe is realistic

[signal mountain]

because either youre putting in unsustainable amounts of work per day and you burn out and quit, or you rush and dont actually learn anything

i think 4 is still even too high

[gray gazelle]

1 chapter per week

idk ill just try

[signal mountain]

my advice would be to set a smaller goal that you know is achievable

and then you can recalibrate

[gray gazelle]

or maybe switch to something smaller

[signal mountain]

ramp up and do more

[gray gazelle]

yea

1 page per hour

[signal mountain]

if you say 'im going to do 1 chapter a week' and it then takes you two weeks to do a chapter then you may feel disappointed or disheartened, lose motivation

[gray gazelle]

what's a realistic smaller goal then you can suggest?

[signal mountain]

how much time a day do you think youll want to study

[gray gazelle]

8

[signal mountain]

thats too much

[gray gazelle]

a goal i want

[signal mountain]

it wont be sustainable

[gray gazelle]

6 or 5

[signal mountain]

unless you already have been doing 8 hours a day for a long time and know you can

[gray gazelle]

so how do i proceed to 8 hours a day then?

[signal mountain]

still too much i would say

see this discussion #serious-discussion message

[gray gazelle]

my max is 3 hours

[signal mountain]

you make studying a habit first

just 30 minutes a day

but you do it everyday

or every other day or whatever, however you want to set it up

[gray gazelle]

actually i do 3 hours max everyday or maybe 4

[signal mountain]

and then once its well established as a habit you slowly start to increase the time

ok well then start by saying youll do 1 hour per day for the next week

[gray gazelle]

I've been changing math topics everytime

and i don't really know shit

I'm pretty lost

and then i found a new one

[signal mountain]

if on a particular day you feel especially motivated to do more then do more, but dont allow yourself then do say 'ah well i did two hours yesterday so ill skip today' if you dont feel it

thats not a good habit to get into

[gray gazelle]

and yea think it's not too challenging

[gray gazelle]

damn..

[signal mountain]

then at the end of the week if you feel like you couldve done an hour and a half every day then aim for that in the next week

or just add even 10 minutes per day if thats what feels right

if 1 hour per day felt good then stick with it, reassess the next week

[gray gazelle]

i see..

i should add 10 mins per day

@signal mountain how do i stick with the book and be consistent with it

[signal mountain]

sorry i meant that as in if you felt good with 1 hour at the end of the week then you could go to 1hour 10m per day for the next

[gray gazelle]

like you know never change your mind about changing a book again

this is why i never progress

[signal mountain]

there are many ways, find a study/accountability buddy - so someone you either study with, perhaps the same thing or perhaps different stuff, or just someone who you say 'im going to do X today' or 'this week im going to...' and they just check in and make sure your doing it i.e. theyre keeping you accoutnable for what you say

alternatively you can promise yourself a reward for finishing a study session or a chapter or section or whatever

[gray gazelle]

I really don't have a study buddy or whatsoever

[signal mountain]

there are many discords and etc where people meet for this kind of thing

likely including this one

[gray gazelle]

but they don't have the same goal as me..

[signal mountain]

perhaps also you should be sure of your motivation. write down exactly why you want to study the content

[gray gazelle]

to get into calculus based physics precisely

[signal mountain]

not always important. it can be good of course but even just studing alongside someone else can be good doing different stuff

i used to do pomodoro with a medic, we'd each sit in silence working for 50 mins then chat for 10 about whatever then back to work

[gray gazelle]

i can't find such thing lol.. i dont have a friend like that they don't like to study at all

[signal mountain]

you dont have to tell me, i mean literally write it down somewhere, with detail. itll help with your motivation that you know why youre doing what youre doing

[signal mountain]

i just met this person on some discord, didnt know them before

not even from the same country

[gray gazelle]

is there any other way than a study buddy perhaps?

[signal mountain]

^

[signal mountain]

^

[gray gazelle]

alr

Last question

[signal mountain]

i have not been exhaustive in the ways to stay motivated on a project, you can find more ideas online im sure

[gray gazelle]

you really can't understand it for like days now i.e 5 days and you feel like changing your mind

to switching a book

[signal mountain]

use another resource, have another book that you can look at or use khan academy or anything like that

if youre stuck on some section of the book its likely youll find other explanations of the same content that might be easier for you grasp

[gray gazelle]

ohh

so it's still an option to find a relevant source for that specific topic

[signal mountain]

yeah, tbh id say its recommended to use multiple sources

[gray gazelle]

Anyway what do you search for ideas? for studying

it really takes me alot of time

[signal mountain]

wdym

[gray gazelle]

like you said find ideas online

i mostly find my ideas on YouTube

[signal mountain]

oh i was talking about how to stay motivated

[gray gazelle]

yea

[signal mountain]

so you could just search 'how to stay motivated on a large project'

on google, on youtube, reddit, whatever

[gray gazelle]

I'm really a hater listening to a motivation lol because it doesn't work to me at all..

[signal mountain]

i dont mean listening to motivational speeches

[gray gazelle]

hmm?

[signal mountain]

i dont know what you are trying to say

[heady prism]

Apologies for jumping in but can you summarize the nature of your query? I was reading and it seems like you’re looking for methods to build sustainable habits; am I correct?

[gray gazelle]

yes

and this sustainable habits of mine requires to just stick with that materials never change it because i kept resetting progress everytime i feel demotivated

this actually has been on me since i was doing karate back then

i kept switching sports

and then i truly found my place for a long long time which is math but i don't really know how do i build it

[heady prism]

There’s actually nothing wrong with switching topics in math but you could employ a systematic process to organize your learning more effectively i.e. try something like the pomodoro technique with 1hr of study 10-20m of break, this could assist in building up your concentration

@gray gazelle

I am “high-functioning ADHD” and I find that utilizing my hyperfocus on structuring my life actually leads to more sustainable and less detrimental habits

(Easier said than done of course, but I’d like to see if this resonates with you first)

Also try and look into implementing systems when confronting failure (because “life is but the shipwreck of our plans,”) such as meditation or even journaling to reflect on what went wrong especially when jumping from topic to topic

[remote sparrow]

i found some recommendations for mathematical treatments of electrodynamics on the web:

Electricity and Magnetism for Mathematicians: A Guided Path from Maxwell's Equations to Yang-Mills by Thomas A. Garrity
Electromagnetic Theory and Computation: A Topological Approach by Paul W. Gross and P. Robert Kotiuga
Foundations of Classical Electrodynamics: Charge, Flux, and Metric by Friedrich W. Hehl and Yuri N. Obukhov
Classical Electrodynamics: A Modern Perspective by Kurt Lechner

[remote sparrow]

https://www.amazon.com/Basic-Mathematics-Serge-Lang/dp/0387967877

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

?

[outer wing]

his single var calc book is pretty good for beginners too

[native cradle]

are there any good affordable alternatives to spivik or lang, they're 300uSD and 100USD here, which is more than I want to spend on a book

[loud cradle]

get a used copy of spivak?

the older editions are fairly cheap

and more or less equivalent

[native cradle]

I'll try

thanks

[earnest wolf]

oh my 😄 \

I honestly just need the \textit{very} basics. Like, kindergarden stuff\

\begin{itemize}
\item Proving that if $\sum_{n=1}^\infty \frac{a_n}{n^x}$ converges at $x_0$ then it converges uniformly on $[x_0, \infty)$
\item The two series $$ \sum_{n=1}^\infty \frac{a_n}{n^x} \quad \text{ and } \quad \sum_{n=1}^\infty \frac{a_n (\ln n)^\delta}{n^x},\text{ where } \delta \in \mathbb{R}$$ have the same abscissae of convergence
\item If $$ F(x):=\sum_{n=1}^\infty \frac{a_n}{n^x} \quad \text{and} \quad G(x):=\sum_{n=1}^\infty \frac{b_n}{n^x}$$ s.t. there is some strictly increasing, unbounded sequence $(x_i)_{i=1}^\infty \subseteq \mathbb{R}$ for which $$ F(x_n)=G(x_n) $$, then $F=G$
\end{itemize}

[hasty eagle]

Sweet Tea 🧋🥥🍍🥭

[remote sparrow]

see joseph kitchen's Calculus, published by dover

spivak is still a good investment though; it should last for about two semesters worth of study

[loud zephyr]

anyone read Visual Group Theory by Nathan Carter. is it good?

[hearty steppe]

Anyone heard of this book? https://books.google.com/books?id=YSe4hUBM7uEC&pg=PA1&source=kp_read_button&hl=en&newbks=1&newbks_redir=0&gboemv=1#v=onepage&q&f=false

[uncut crater]

Yeah

Interesting book

Not really my cup of tea

[hearty steppe]

Does it compare to any books?

[gray gazelle]

oh tysm

[bold bear]

Anyone have a type theory book recommandation?

[remote sparrow]

you can look at pins, there's a logic reading list

i also heard PROGRAM = PROOF is good

https://www.reddit.com/r/math/comments/1apneml/what_are_good_textbooks_to_learn_proof_theory/

there are a couple of type theory recommendations in here

[bold bear]

thanks

[willow saffron]

can I ask here for some linAlg book recommendations? Maybe some of yall favorites when you started off

[gray gazelle]

yes im currently making my life more structured now since I've been rotting

I'm going to get rid of my detrimental habits and yea

thanks for the advice

[remote sparrow]

#book-recommendations message

[willow saffron]

preciate it thanks

[analog jasper]

i liked linear algebra and its applications by david c lay

[modern ruin]

i always diagnose the same thing in this case, use this site, and make sure you know as much as you can from the stuff before calculus https://tutorial.math.lamar.edu

[foggy quest]

https://mtaylor.web.unc.edu/notes/linear-algebra-notes/

[willow saffron]

ohh

[willow saffron]

Ill look into this as well thank you!

[gray gazelle]

unc by linda green is also great

but not really good enough for deep understanding of the concept since it's just like a review for math majors who didn't take math seriously before

[native cradle]

yeah, but Iit's hard to convince my parents to drop 300 USD on a book

[native cradle]

Thanks!

[remote sparrow]

spivak's calculus is good, though if you want the fourth edition, don't buy new, buy used, even if the price is about the same

[gray gazelle]

a pdf should do it..

[loud cradle]

what happened, did the binding get worse or something like that?

[remote sparrow]

https://www.amazon.com/gp/customer-reviews/R3O93RHA5VDJQJ/ref=cm_cr_getr_d_rvw_ttl?ie=UTF8&ASIN=0914098918

according to this customer, yes

[gray gazelle]

@remote sparrow are you in college, if yes how many books have you read??

[remote sparrow]

i recently completed my bachelor's

[native cradle]

legally?

[gray gazelle]

i can't say legally as you really want the book i say review it before you buy a physical one

[gray gazelle]

ohh in what major?

[remote sparrow]

math

[gray gazelle]

congrats!

[zinc thistle]

sorta bouncing off of my question the other day regarding books on diff topology--does anyone also have good material on reading up on lie groups/algebras from a physics pov (not a math major)

[gray gazelle]

why is this red panda so popular?

[zinc thistle]

lol not related i guess to this channel so i'll answer in #serious-discussion

[sage python]

Someone has asked this before and didn't get a great answer. I'm not certain what precisely is entailed by the physics pov on Lie theory

[torn crypt]

is Woit's an option?

[zinc thistle]

To be super honest, I can't say. I'm a rising sophomore at berkeley doing a directed reading program on QFT and I see lie groups pop up often. I kinda wanna be more familiar with what i'm actually reading

[glossy zealot]

You can borrow a copy if your library has it

[gray gazelle]

yea definitely

unless you really need it

[glossy zealot]

I think an even better scenario is borrowing from an instructor/friend/senior student who is not actively using it

Students accumulate old books all the time and at least for me I am willing to lend/sell it for cheaper price

[gray gazelle]

yes that's actually a bit better scenario

[gray gazelle]

This looks awesome! I like older books because they really break down the older routes of a problem. I’m all for the shorter versions we evolved into today but looking back into the strong bases sometimes is really great 😄

how do i finish introduction to Algebra by AOPS if i don't have the solutions manual?

[gray gazelle]

Introduction to Algebra Solutions Manual https://a.co/d/0gooxCKP

Looks like they sell it separately 😊

can i have a screenshot first

[gray gazelle]

I'm sorry im really poor lol

Lol you can try this one https://artofproblemsolving.com/store/book/intermediate-algebra-solutions

I'm freaking dumb so I'll do Introduction to algebra

basic mathematics by serge lang just doesn't seem to suit my taste at all

or any book! at all

[gray gazelle]

Oh I’m sorry I thought it said intro -either way their website hosts all the solutions manuals. Hope that helps

I'll just ask their community

[gray gazelle]

These are an absolute recommendation if you want help. I did these and it helped me through class megafold Algebra DeMYSTiFieD, Second Edition (Demystified) https://a.co/d/04rIYFQ2

[modern ruin]

i am curious to click on that link but I'm also super sus lol

oh it's amazon (disclaimer i did not click it, i just recognize it as maybe amazon) (update: i clicked it and it was amazon)

[molten mason]

We can't provide or help you find any PDFs online, but we can provide book titles here and however you obtain that book is your own business.

As far as solutions, that's what this discord is for a lot. You can use help channels and you can use #prealg-and-algebra and #precalculus

[molten mason]

This is a great book for those who have already done pre-calc and it's been many years and need a refresher.

If it's the first time, you'll need to supplement with the channels I just mentioned and youtube. That book has a whole youtube series that goes over it as well.

If you want another book that covers that type of math, there's dozens of them and they're all mostly the same. Just go through each one and find one that works.

[sage python]

Dontsuggestrudinchapteronedontsuggestrudinchapterone

[tribal crow]

[sage python]

Yeah I mean, I guess some relevant factors when it comes to Lie theory are, do you wanna focus on just matrix Lie groups and not worry too much about working through technical aspects of manifold theory? That can simplify some stuff, and I'm guessing that you don't necessarily need the full manifoldsy element of Lie theory (compact Lie groups are all matrix groups anyway)

Also my hunch (and this is really a hunch, don't take my word for it) is that in physics you care more about the representation theory aspect than the structure theory aspect

Since something something particles exhibit blah symmetry of blah group sounds more like rep theory

[torn crypt]

Reps of the gauge group etc

[sage python]

While classification of simple Lie algebras, Dynkin diagrams, all that jazz feels less relevant

Now I might be entirely full of shit in that regard

[torn crypt]

Well, what texts are for the structure, and what ones are more rep-y

[sage python]

In which case you can beat up Sharp

[torn crypt]

Also see here

Woit’s book specifically says a QM aspect

Though I can’t exactly certify quality thereof, I don’t touch that

[torn crypt]

Judgement

[sage python]

Brian Hall's book I think

https://link.springer.com/book/10.1007/978-3-319-13467-3

[torn crypt]

(Also in the reply I linked)

[sage python]

He says in the preface he hopes that the book is good both for mathematicians and for physicists. And he has a separate book called quantum theory for mathematicians, which does suggest that he has tried to think about bridging the math/physics gap a fair bit

He does matrix pov which avoids needing as much technical manifold theory

And looking through, he seems to give the statement of the classification of simple Lie algebras without proving it

So this is my best (though uninformed/based on vibes) guess as to a Lie theory book which is good for physicists

[outer wing]

https://www.ams.org/open-math-notes/omn-view-listing?listingId=110771
terse intro to proof notes

[gray gazelle]

This is so great!

[outer wing]

This website has a lot of other free notes too https://www.ams.org/open-math-notes/

[oblique hatch]

Do any of you know about a good book on holomorphic dynamics?

[hollow shore]

@remote sparrow do you know of any lectures online which follows Friedberg's Linear Algebra?

the ones I have looked at are not that good

[static gyro]

Anyone got resources for just 1st year undergraduate stuff for now. And possibly proof writing as I heard that's university level

[willow merlin]

best book for learning predicate logic

existencial quantifiers

[native cradle]

how to prove it

by vellerman

is what I use

[queen rain]

any book recommendation for calculus and precalculus? and what do i need to have learned before entering calculus?

[heady prism]

Likewise, I use How to Prove It by Vellman

Honestly one of the best introductions to proof writing i've used

(I have a good amount of books on the topic)

I also like "Proof's a Long Form Mathematics Textbook" by Jay Cummings

[daring lake]

James Stewart has books on both

(though most calc and precalc book cover almost same material, so you can pick any tbf)

Or openstax

[gray gazelle]

openstax is really not good

[daring lake]

Damn

I never used it so ig I shouldn't have recommended it

What is wrong with it btw?

[native cradle]

what all does lang's introduction to calculus cover?

power series?

all that with rigour?

[gray gazelle]

yeah

if you mean his A First Course in Calculus

[native cradle]

yeah

[snow valley]

Does anyone know a book where it talks about swapping series and integral in a way that isn't too advanced

[remote vortex]

I don't think it can get less any advanced than real analysis, in which case Abbott's book is probably the best option

[remote sparrow]

no

[outer wing]

I know a lecture series which covers linear algebra by Meckes and Meckes https://m.youtube.com/@abstractlinearalgebra6935/videos

Abstract Linear Algebra course taught at UIUC by Pierre Albin out of Linear Algebra by Meckes & Meckes.

[outer wing]

Are the solutions of these notes available?

[outer wing]

There's https://www.amazon.com/How-Why-One-Variable-Calculus/dp/1119043387 also

[remote sparrow]

thanks for sharing, though the lecture series seems to go a little further than meckes & meckes

notably, the jordan canonical form is omitted from meckes

[lyric storm]

can anyone reccomend me an "elementary number theory book" for someone who has taken a beginning courses in algebra (basics of groups, rings, fields) and analysis. I want to learn algebraic/analytic number theory eventually but cant help but feel I dont know how to use elementary methods

[remote sparrow]

https://link.springer.com/book/10.1007/978-1-4757-2103-4

https://www.amazon.com/Introduction-Theory-Numbers-Ivan-Niven/dp/0471625469

more elementary but still challenging

[lyric storm]

thanks! this one looks like it starts with algebraic number theory, the second one looks great tho

[remote sparrow]

ireland and rosen use algebraic methods, but they cover mostly classical and "elementary" material with more sophistication

so it's not a textbook on algebraic number theory

[native cradle]

thanks

[lyric storm]

I see, what sort of pre requisites material would you recommend for motivating constructions in commutative algebra needed for algebraic number theory and alg. geometry? I have tried to go through a commutative algebra book separately but found it very dry. Are there books that teach commutative algebra "along the way" with alg. number theory or something similar.

[remote sparrow]

i don't know

@dapper root

@finite gale

[finite gale]

I mean I just think comm alg is dry but you kinda just need to get through it

Atiyah Macdonald is standard text for comm alg; chmonkey will probably say something about matsumura

[remote sparrow]

https://aareyanmanzoor.github.io/Texromancers.html

it's worth noting that someone has updated the typesetting for matsumura

[crude flame]

@remote sparrow

Which book is best for beginners algebra 1

I studied prealgebra

Now I gonna dive into algebra 1

Which is best algebra 1 book for beginnerz

[foggy quest]

Probably not.

[gray gazelle]

hello sour drop

[gray gazelle]

wtf ayo are you that kid in #chill who needs a gf?

[round pelican]

What is a good book to learn mathematical logic for a beginner. I want something that reads well and is good for self-study. For context, I’ve learned the basics of propositional and predicate logic from a discrete math course. We learned about things like quantifiers, connectives, and truth tables. I’ve looked at Peter Smiths Guide and read reviews on Amazon but I can’t really pinpoint a book because usually there is something each book doesn’t do great. For example in a lot of the reviews the reviewer usually mentions that a book uses a deduction system that they don’t like.

[remote sparrow]

#book-recommendations message

[round pelican]

Would Mendelson be a good choice to start with? With all the reviews everything gets confusing on what is the best to learn from. Is it best just to pick a book and stick to it?

[remote sparrow]

i like the chapter on propositional logic, but the chapters after are very dry

leary and kristiansen jumps right into first-order (or predicate) logic, but it's better motivated

i would advise against buying a hard copy of the latest edition of mendelson, though, as the script font he uses for the wffs don't print well often

[lusty escarp]

There is 50FLASH coupon working on springer on some books.

[zinc thistle]

Great thank you, i’ll skim through it later to see if its what i’m looking for then work thru it

[dapper root]

This is old Matsumura I prefer new one for first run

[dapper root]

There’s a book called like “Algebraic Geometry and Commutative Algebra” by… some German guy I forgot.

Its first 1/2 is comm alg, and then AG. I like it a lot since the AG is detailed, it spells stuff out that others don’t. The comm alg is kinda excessive at times, it has some stuff that’s more general than is really necessary, which is colored by the fact that it’s needed for what that author researches (and idk German ppl tend to like that)

I don’t know anything that really develops things together, except maybe Vakil???

Undergraduate Commutative Algebra by Reid doesn’t do AG properly, but it actually gives you a very geometric perspective, it makes it easy to learn AG after and you’ll realize you secretly learned some

[rigid flint]

Are there any good resources on using the polylogarithm in integration?

[willow merlin]

Biggest book for number theory? Like that has a lot of pages?

For example for RA I have this “The Big Book of Real Analysis” that contains a lot of stuff

[fervent harness]

Yall have any recommendations for some good self-study books for topology?

I have about a year left in my math degree and unfortunately may not be able to take a class in topology before I graduate so was going to try and self study it

[uncut crater]

Viro

Munk is a classic option too

But it hands everything on a silver platter imo

Another weird but enjoyable read is the book by Sasho (Serbian ass surname)

[fervent harness]

I generally need to be handheld so I wouldnt mind this lol

[uncut crater]

Munkres and Simmons

They're the best bet

[fervent harness]

ive heard of this

[uncut crater]

Both are good books

With different attitudes towards topology

[fervent harness]

munkres that is

ok cool. thank you!

[uncut crater]

🙂

[normal crystal]

https://youtube.com/playlist?list=PL54Pt_mZzBqinpMAO6-o1vEzZzzPKx57c&si=XIXo9rQOwpoDCM3e

[gray gazelle]

how about introduction to Algebra by AOPS

[torn crypt]

I dunno, Rautenberg

[trail hemlock]

context plz 😭

im perm studied i cant see the discussion channels

[willow merlin]

maybe he needs a gf

[gray gazelle]

so this guy started talking about the girl (i forgot her name) and he asked her if he needs a bf

bro started to rizz her up

Anyway this should not be in #book-recommendations

[trail hemlock]

😭 oh hell no

[willow merlin]

he asked her if he needs a bf?

[gray gazelle]

Anyway @trail hemlock any advice to me how do you careful read umm introduction to Algebra by AOPS?

[trail hemlock]

willing to bet layla lured another lonely mathcord user in again

[willow merlin]

💯

[gray gazelle]

when i searched aops books in the searches you kept popping up lol

[trail hemlock]

the best advice for aops books is to do all the challenge problems at the end of the chapter

[gray gazelle]

so i don't do the challenge problems for now?

[trail hemlock]

do them when you reach them

[gray gazelle]

damn

challenge problems hard af

[trail hemlock]

because the normal problems test your knowledge, but the challenge problesm test your ability to apply them, which is the whole point of aops books

[gray gazelle]

Anyway can you help me with it plz

i just need solutions

[trail hemlock]

if you know concept A and concept B, the challenge problems make you use concpet A and B on a different problem

[gray gazelle]

nothing more lol

[trail hemlock]

you can ask in #prealg-and-algebra for help

[gray gazelle]

Anyway my understanding of aops books is that they test you with problems then tell you freaking different answers from you

[gray gazelle]

ah alr

Anyway @trail hemlock why chapter 1 doesn't have challenge problems?

[trail hemlock]

uhh im not sure

i havent read that book in long time

regardless, just do the challenge problems as they appear, and make sure u do all the regular problems as wlel

[gray gazelle]

alr

Anyway how did you even got perma-studying lol?

[trail hemlock]

u ask the mods by dming modmail

[gray gazelle]

ohh

damn imagine perma-studying lol

how do you keep up the streak G?

[trail hemlock]

what streak

wait this is off topic

[gray gazelle]

streak of perma-studying

[trail hemlock]

oh theres no streak

you basically get the role as long as you ask for it

i asked for it to end on 7/11

so until then i cant get it off, and i cant access the discussion channels

[trail hemlock]

anyway, this

[fierce hedge]

Eisenbud? Oh the Bosch guy

[heady ember]

Hi bumpy

[fierce hedge]

Hi grass

[rigid flint]

Are there any good resources on using the polylogarithm in integration?

[charred vigil]

Can someone recommend me a book that contains everything from 6 grade to the en of HS?

So I can remember and practice

If it can be buy from Amazon and can be purchased physically better.

And with free delivery internacionally.

[split portal]

That feels like it would be covered by prealgebra, algebra, geometry, trig and precalc.

Some places do more some places do less.

I can prob find my books for all of these except prealgebra

[charred vigil]

Ok np

Everything helps

[split portal]

For algebra we use beginning and intermediate algebra by margaret lial

It's a two volume thing. New editions are expensive but old used ones are cheap. There might be combined versions too.

[charred vigil]

Ok, I see

[split portal]

For trigonometry we used trigonometry by mark dugopolski. Same deal. New copies are expensice but used copies are cheap.

My geometry book was kinda old. It was geometry by Ray Jurgensen. It might not be easy to find cheap.

My precalc book was also by Margaret Lial. Ron Larson also has a pretty decent precalc book too.

Also Ron Larson has a decent calc book.

[charred vigil]

Ok thanks doot

[split portal]

Just make sure to look for used copies since new ones are expensive.

Maybe somebody else can rec a good hs geometry book.

[heady ember]

Hoot hoot

[tribal crow]

🦉

[native cradle]

for introductory trig, SL loney is supposed to be good

[outer wing]

http://www.mecmath.net/trig/index.html
this is also good for trigonometry

free book

[supple sequoia]

For algebra,Hall and Knight is good

[gray gazelle]

Maths by rd Sharma is all you need to become math god ✨

[uncut crater]

Damn, am i a math god then?

I finished a good portion of the 12th book in 10th grade lmao

[gray gazelle]

Lmao I mean you need to read it all and understand the concept xD

[gray gazelle]

Damnn u indian too :0

Jee or neet?

[uncut crater]

Damn wait are you being serious

Bruh

[gray gazelle]

Wot

[uncut crater]

I thought that was sarcasm 🙂

[tribal crow]

what is RD Sharma?

never heard of it before

[gray gazelle]

A person

[tribal crow]

yes, I know

[uncut crater]

A terrible writer

[tribal crow]

I meant his book

when I said his name

[gray gazelle]

What 💀

[tribal crow]

[uncut crater]

It's a tome of routine high school problems

[tribal crow]

oh I see

[gray gazelle]

My math teacher told me that rd Sharma is all you need to crack jee

[tribal crow]

newsflash: JEE neq math

[uncut crater]

Time to change teacherz

[gray gazelle]

LMAO

😭

[uncut crater]

I'm beyond jee and neet

[gray gazelle]

:0

[uncut crater]

Yeah, funny little world

[uncut crater]

Is it tho?

The problems are a bit too challenging for first timers

[trail hemlock]

alternatively

just spam aops books until calc

read spivak for calc

and see where life takes you from there

[tribal crow]

linear algebra awaits you

[trail hemlock]

jee is nothing more then memorizing problem types i fear

my jee prep book is like

1 page memorize next page it’s the same shit with new numbers

[uncut crater]

Jee gives me ptsd, all the weird tricks to arrive at an answer

[tribal crow]

you're going to write the JEE too, BB?

[trail hemlock]

i’m doing lang atm

[trail hemlock]

nope i’m american

[uncut crater]

Why not axler

Axler da 🐐

[tribal crow]

[trail hemlock]

and i detest the indian education system

[tribal crow]

Dami is here...

[sage python]

Imagine no finite fields smh

[tribal crow]

I freaking CALLED IT

[sage python]

Okay to be fair

It was incidental

[uncut crater]

Wait, is there a text that had finite fields in it?

[sage python]

But yeah the timing worked out so nicely

[trail hemlock]

dami since when r u pink role

[uncut crater]

Afaik Golan has it

[sage python]

Hoffman-Kunze a little bit. Idk Golan

[tribal crow]

FIS does

[uncut crater]

That's a dummy thicc book

[tribal crow]

Axler is good, though not my preference

[tribal crow]

really?

let me check

[uncut crater]

Axler writes dogshit in some parts

[trail hemlock]

guys any good christmas playlists? dm me 🙏🥺

[molten mason]

FIS I think is the smallest

[uncut crater]

I hate his writing in dual spaces and quotient spaces

[tribal crow]

it's 600 pages

not too thick

[uncut crater]

Bruh

Are y'all not reading Serre or stuff like that 😭

[trail hemlock]

uta how aren’t u active role

i see u talking all the time

[uncut crater]

That's 600 LONG PAGES

[uncut crater]

Good question

[tribal crow]

I'm reading CoM, so I know what terse is lol

[uncut crater]

Non trivial answer

[molten mason]

Oh that's decent sized, Roman is only 528

I kept thinking FIS was like 200 lol

[tribal crow]

I was about to mention Roman actually

[trail hemlock]

that’s what she said 😭😭😔

[tribal crow]

as a comparison

but you beat me to the punch

[normal crystal]

just play The Waitresses - Christmas Wrapping on repeat

[tribal crow]

which Serre book are we talking

[molten mason]

I just realized, I have no idea where my FIS book is

[uncut crater]

Nah Roman is crack material lmao

[molten mason]

so be cracked

[trail hemlock]

i wanna read roman as like a long term goal

maybe in 4 years lmfao

[tribal crow]

I do eventually want to do some of it

in particular the stuff I missed in LA

[trail hemlock]

after abstract algebra i will

[uncut crater]

4 years? I bet you can do that after a year

[trail hemlock]

so after abstract algebra and measure theory

and LA obv

[tribal crow]

you should read Spivak next

it'll be fine, trust

[uncut crater]

Spivak?

[trail hemlock]

i am actually

[uncut crater]

Diff geo?

🙏

[tribal crow]

I was thinking his CoM, but his DG books are good too I hear

[trail hemlock]

funny story: i purchased the wrong spivak

i got calc on manifolds by accident

😭😭😭

[tribal crow]

they're too much to work through though I think

2000+ pages is better suited for reference, not for self study

[molten mason]

Roman is on my to-do list but I don't really have a timeline for it

[trail hemlock]

anyway i read some CoM and its not that bad lol

[trail hemlock]

me asf

[tribal crow]

Spivak rushes some stuff towards the middle and end, I think

lots of asking the reader to fill in gaps

often non-trivial ones, at that

[uncut crater]

Almost all of his books are thin

[trail hemlock]

i wouldn’t be shocked if the entire book was the statement of generalized stokes theorem and a note that says “the rest is trivial and follows from the above result”

[tribal crow]

fair enough

[trail hemlock]

spivaks calculus is a fatty tbh

[uncut crater]

Serre

[trail hemlock]

that sounds exotic asf

[uncut crater]

French people are an endangered species fr 🙏

[tribal crow]

A Course In Arithmetic is one of the most misleading names I've ever heard tbh

idk why Serre called it that

[uncut crater]

Lmao

So true

I still remember going up to that book in my first semester thinking it might be a book on elementary number theory

I open the book, and lo and behold, modular forms (iirc)

[tribal crow]

good to see this again

I almost forgot about its existence

[uncut crater]

A classic

[trail hemlock]

dude a math library sounds so cool

imagine u just have alll the books

[uncut crater]

Damn I don't have image perms

[trail hemlock]

no need for anna’s archive

that’s like a dream tbh

[uncut crater]

But a prof of mine has a sweet collection of hardbound texts

[trail hemlock]

send it in chess channel perhaps

or like the calculus help channel

[molten mason]

#chill

[uncut crater]

Oops

[trail hemlock]

i don’t have access to chill 😔

[uncut crater]

🫂

[gray gazelle]

yes for the high school guy i know

Terence Tao

[trail hemlock]

?

tao doesn’t have an algebra book does he ?

[hasty eagle]

J

[gray gazelle]

yeap no, but h & k books are pretty hardcore i say

[normal crystal]

David Morin is releasing two books on HS algebra next month, then Geometry, and Precalculus in following years
anyone used his math, or physics, books?

[trail hemlock]

his classical mech book is super popular from what i understand

[quasi haven]

Hello, can you recommend some must-read books among Mathematicians? I'm especially interested in Calculus and Complex Analysis.

I'm an engineer by training but I like reading about mathematics.

[gray gazelle]

Guys is Real and Functional Analysis by Serge Lang good? I really like the book, but people say Serge Lang is a algebraist instead of analyst, so I wonder whether the book is good according to personal experiences.

[loud cradle]

wtf is wrong with you

<@&268886789983436800>

[sage python]

Dead

[bright epoch]

imo this book is good only if you already know the stuff he talks about

this is my experience, if you've read other books by Lang and liked them it's a similar style

[gray gazelle]

Yes I have read his algebra, though didn't finish it, but liked the style very much, and planned ahead to use his algebra after I get done with LA and abstract Algebra

But one thing I am not sure about is can it be everything in Real and Functional Analysis and Complex Analysis (for the respective books)? So that I don't need any other resources aside from this before reading papers?

[gray gazelle]

yes especially the red morin

his langranian method is really popular as it's modern

[gray gazelle]

damn next month!?

i hope it will be next week lol

damn bro

[normal crystal]

it could be in a week or two, idk
it said June on his website first but he changed it to July
there's no listing on Amazon though

[gray gazelle]

well it's inexpensive he said

David Morin chad lol

giving books inexpensive

[normal crystal]

all his self publish books are in the 20+ neighborhood
so 2x that

[gray gazelle]

yea

[gray gazelle]

do you know other mathematicians/physicist who published inexpensive books but really good?

[trail hemlock]

cummings books are fairly cheap

granted he only wrote 2

[gray gazelle]

ohh

sadly I'm still in lower math's level

but sure soon enough i will buy

if I'm interested in the field of it..

[uncut crater]

Dover books are pretty cheap

[gray gazelle]

who?

[heady ember]

Why dive deep into your pockets when you can dive into Dover's book collections

[gray gazelle]

sometimes the taste doesn't suit us

[uncut crater]

I think classics include Narasimhan's 'Complex Analysis in One Variable' and Nevanlinna's 'Introduction to Complex Analysis'. Read for culture.

Better, more modern reads include Conway and Freitag-Busam. Needham's VCA is a peppy reference. I stayed away from Alhfors most of the time. Berenstein-Gay has more analytical topics expected to be covered in a second course in complex analysis.

I'm yet to begin with algebraic curves but I'll stick to Miranda and Kirwan

[uncut crater]

Ben Dover

[quasi haven]

What about Calculus?

Any recommendations there?

[uncut crater]

Rudin

Or for something gentler, Tao

[quasi haven]

Principles of Mathematical Analysis by Walter Rudin

This one?

[uncut crater]

Or Abbott

[uncut crater]

Yeah

[signal mountain]

or spivak ? seeing as they said calc

[uncut crater]

Oooh that's a good one too

Huge ass book tho

[quasi haven]

I'm not getting a good quality pdf of this book

[uncut crater]

There's one