book-recommendations

[trail hemlock]

no image perms

:(((((((((

imagine i send an image of spivak' diff geo book covers

[trail hemlock]

yay

[remote sparrow]

very artsy

[remote sparrow]

next evolution of book covers: fumo art

[trail hemlock]

lowkey

i would love if more textbook covers looked like this

i prefer spivak's cover but

the name of the book + author is getitng OLD

[trail hemlock]

fire

[sudden kindle]

A cohomology theory based on fumos?

I would study that

[tired glen]

Ya i go but i want to solve much prblm as i can do

[abstract cosmos]

any one have recommendation of the best book u guys have read??!!

[leaden moat]

can anyone recommend a calculus maths book?

[teal orbit]

Rudin’s Principle of mathematic analysis for first years

I used that one

[leaden moat]

Okay

[livid lintel]

That’s not calculus though

That’s RA with requires a good amount of mathematical maturity

[teal orbit]

A lot of it’s content aligned with what I had in calc I

[livid lintel]

Yeah

But I’d recommend something much softer to a person with pre uni role

[teal orbit]

Wait

[leaden moat]

I am good with basic calculus!

[teal orbit]

My bad I didn’t check

[teal orbit]

Well, you can try, or other people have better recommendation

I don’t know other books hm

[livid lintel]

"Calculus: Early Transcendentals" by James Stewart is good

Also there’s Thomas’

[leaden moat]

i'll try it.

[bleak pebble]

does someone has a good suggestion on a great book about "abstract algebra?" postgraduate. Thanks in advance

[molten mason]

What have you used before?

[bleak pebble]

nathan jacobson "basic algrabra" 25 years ago

sorry about my english but I would like to go deeper into the concept of an algebra (possible non associative)

[molten mason]

This would be a start to look at before someone can give you more specific answers:

#book-recommendations message

[lusty escarp]

Which coaching institute? Do other books until and unless you are confident in your coaching material. By confident, I mean you open any page of your module(or book) and you can solve any problem from that page. You should try to solve previous year books. This will tell where you stand in your preparation.

[bleak pebble]

ok sorry I try to re-phrase. I need a book on abstract non associative abstract algebras I would like to have a clear definition of what a non associative algebras is without using the concept of vector space as an example for an algebra

@lusty escarp I am able rigth now to solve exercises like this from the book "contemporary abstract algebra" withou major issues, but the book does not treat the concept of algebra neither non associative algebras

[lusty escarp]

I think, you meant someone else.

[lusty escarp]

You can try book by KD Joshi and his commentaries on previous year advanced papers.

[flint swift]

narnia

[upper sigil]

does anyone know a pdf book i could download for free about vector calc and calc 3 but presenting the subjects in a more rigorous manner than calc bookss usually do

what were they

[tired glen]

I m in vmc vidyamandir classes and ok i will follow your suggestion and thank for it

[tired glen]

Ok thanks for this suggestion

[drowsy nacelle]

😆

[lusty escarp]

I was also in VMC, pitampura at one time.

[drowsy nacelle]

like conjectures?

oh someone already explained

rip my question from yesterday got buried

anyone have recs on generating functions other than wilf?

[lusty escarp]

BTW, you are at which center?

[lusty escarp]

I myself purchased too many books but not able to do anyone of them properly. More books you collect, more confidence loses as you are not able to do those books. I purchased HC Verma, DC Pandey, IA Maron, SL Looney, Irodov, RC Mukherjee, Solomon Fryhle etc and various other arihant books. My suggestion is complete your class notes, modules, supplementary provided by VMC, extra questions provided by instructor, class test questions, monthly jee mains advanced paper questions and previous year questions. If you still have time left, you can do other books. Book by KD Joshi and his commentaries gives you insight how questions are designed for jee advanced mathematics. Do take a look at them.

[gray gazelle]

IM JUST TRYING TO GET ACTIVE MAN

[hearty steppe]

Anyone read this https://link.springer.com/book/10.1007/978-3-030-91032-7

[signal zenith]

Calculus on manifolds maybe by Spivak

Might be too advanced tho

[upper sigil]

Yea maybe just a lil less advanced

[upper sigil]

1

[hearty steppe]

Yea I always try to find texts on dynamical systems… I think I’ve found all the ones that matter so far…

[unborn jackal]

white nights by dostoyevsky was probably the best book I have read the past few years

in der strafkolonie by kafka was also good

[heady ember]

Not a book, but Pauls' Online Math Notes is well-liked, to my knowledge.

[stoic hamlet]

I am a big big fan of Baxanball and Liebeck's book

[molten gulch]

thomas' calculus early transcendentals and stewart calculus early transcendentals

[trail hemlock]

#book-recommendations message

[tired glen]

I know you don't believe me but i m just in class 8 student and i do vmc online but next year i will be in offline at vmc kankarbagh

[tired glen]

I just knowing bcz i have completed some chapters of class 10 trigonometry and quadratic equation also knowing sets, linear inequalities in one and two variable. I wanted to learn concepts in depth so that i can get sufficient rank to get CSE course in iit delhi. But u have said and u r senior of mine so i follow and respect ur decision

[tired glen]

I also wanted that lol but i don't know that m i can solve it or not

[tired glen]

My question is that you cracked jee mains and advance or not

[tired glen]

Because you can help me

In cracking iit

I just asking for help

[wicked patrol]

what book

[tired glen]

@wicked patrol

Hoi

[tired glen]

No bro woh alag alag chapters ke book like abstract calculus for calculus etc.

[ocean pawn]

any1 have anime recommendations??

[upper sigil]

ok but do u know where i could download it for free

[stoic hamlet]

anna's archive

[upper sigil]

fuckkk i live in france

nvm it works thx

[tribal crow]

heads up, this server does not allow discussion of piracy @stoic hamlet @upper sigil

I figured I'd just let you two know

[stoic hamlet]

whoops !

[upper sigil]

my bad bro i definitly wont pirate the book

[hollow peak]

Hey Michael you don't know me, but my friend Astrid thinks you are very cool 👍

you have indirectly answered some of my questions through her lol

[lusty escarp]

Ok. I thought you were in class 11. My advice was from that perspective.

[foggy quest]

https://mtaylor.web.unc.edu/multivariable-calculus/

[vital bane]

bro wtf higher when did you get honorable

[tribal crow]

an hour ago

less, actually

[vital bane]

based

lesser....

(instead of higher)

[stoic hamlet]

Woah I didn't know this

[gray gazelle]

thanks for the links! theyre really helpful :)

[mossy flume]

higher teach me your honorable ways 🔥

[tribal crow]

idk I just yapped a lot and got it somehow

[remote vortex]

Heck, same

[trail hemlock]

higher!

i see u typing!

[tribal crow]

the difference is that you are actually actively helping in the advanced math channels, while I am not

[tribal crow]

hello!

[trail hemlock]

UR YELLOW

YAY

GOOD JOB

[tribal crow]

thank you!

reminder that this is #book-recommendations

[remote vortex]

I do it mostly to atone for being snarky at silly people

[tribal crow]

fair enough

[molten mason]

What an honorable statement

[tribal crow]

[lusty escarp]

You should contact someone who started coaching in class 8 or 9. I started coaching in class 11. My advice for a class 11 student.

[drowsy nacelle]

there was some analysis book whose author started with a Z and people said it was really good but i can't remember any other details

does anyone know what im talking about

i think it was a real analysis book but not 100% sure

[torn aspen]

"All The Math You Missed" - Thomas A. Garrity

I was wondering whether this book is good or not for someone who wants a rough idea of what certain topics will be like as an undergraduate student going into my second year, and if there are any other similar or perhaps better books?

This just happened to be on my Amazon recommended

[molten gulch]

Zorich's Mathematical Analysis 1 and 2?

[drowsy nacelle]

yes this was it

thank you

that was bugging me for some time

[molten gulch]

It's a good book, will say that

[drowsy nacelle]

yeah ill check it out, i'm pretty sure ive already done the material in it but ive heard a lot of praise so wanted to see it

[jaunty hinge]

hey, anyone has read Apostol Calculus I book? It's worth it?

[molten gulch]

Heard it's good, a bit more difficult than your standard Stewart or Thomas Calculus book

[jaunty hinge]

I've heard that is a little bit easier/better explained than Spivak, but with same axiomatic aproach

[molten gulch]

yeah, we've never used Spivak, only the bog standard US university Thomas and Stewart books

[jaunty hinge]

fair, i've took Calc I class with Stewart book too, but want to get a little deeper before jump into analysis

[heady ember]

Damn it you sniped me by 2 hours

[gray gazelle]

damnn congrats broo.. (got stricter)

[tribal crow]

thank you! but this is not the first time I've done this

I've called off conversations here plenty before

[gray gazelle]

how did you get honourable

[tribal crow]

.

[zealous charm]

It's happening again

[gray gazelle]

congrats broo

it's because of the #bots

hey guys i need a book again.. in Algebra i kept demotivated because when there's like a chapter where it's bad i switched again and again yk and yea so i really need an algebra book and make sure not fall for it again..

i really don't know what to do

I prefer something like traditional teaching not like AOPS

I mean not like aops way of doing things anyway

[normal crystal]

this might be interesting, releases soon
ignore those covers, idk what he was thinking
https://davidmorin.physics.fas.harvard.edu/books/algebra/

[gray gazelle]

oh yeah David Morin is releasing

but sadly i don't have the time to wait

David Morin releases his own books inexpensively but sometimes others are not

[normal crystal]

it lists the prices there and it's only two weeks away
it was more than two weeks ago you were looking the first time, I think

[drowsy nacelle]

thank you in a different universe

[gray gazelle]

nahh..

[latent sapphire]

I am preparing for my state level math competition(i.e qualification for the IMO), can someone give me some book recommendations

[fierce hedge]

Teach me the ways of yapping sensei

[tribal crow]

[tulip hamlet]

Can anyone recommend a book with good graphics and design for basic undergraduate math

like all topics

but basics

[plucky socket]

Hey guys

Hey!

uhm

[plucky socket]

I can but

1. Calculus by James stewart
2. Linear Algebra and Its Applications by Gilbert
3. Differential Equations and Dynamical Systems by perko Lawrence
4. Abstract Algebra: Theory and Applications by judson
5. Mathematics: A Human Approach by harold jack
6. Calculus: Single Variable by guichard
7. Linear Algebra by hefferon
8. A First Course in Differential Equations-david logan

Here's a list I made in order of ratings and quality

It's not much of a Google source but recommended by seniors and uh readers

[wicked patrol]

hello everyone

[tulip hamlet]

thank you so much

[vale wolf]

oooh thanks for the list, I'm saving that

[vagrant widget]

Google op

[vagrant widget]

It isn't for you

It's for undergrad students

I guess

[vale wolf]

It's a list I want to use

[livid lintel]

They have the undergrad role

[vale wolf]

Yeah but I'm not in highschool yet...

But I'm going into Geometry

[livid lintel]

I don’t think you’re studying undergrad math then….

[vale wolf]

What do you define as undergrad?

[livid lintel]

Undergraduate level math in university

See the early university channels here for a rough idea of it

[vale wolf]

I fixed my role

[tired glen]

Bro i think you don't understand that. I m in vmc online batch and yes vmc can be joined in class- 8 also + i am able to solve maths of class- 10th. That's why I think that i can improve my level and doing practice for iit as vmc never gives me that untill i m in class 11

[gray gazelle]

Can anyone recommend me the best book you think to study non Euclid geometry?

[spark jay]

Can someone recommend me workbooks in which I can find hard calculus problems

[plucky socket]

It's not

Please show me the source where I have copied it.

I've genuinely collected it.

[plucky socket]

Well I would definitely recommend Henry p Manning's books.

He has authorised his own book titled as "non Euclidean geometry,"

I've gone through it and could say it's definitely helpful in solving problems with clear explanations.

[plucky socket]

Full calculus or is there any area you would like?

[spark jay]

Full calc

[spark jay]

I mean you can tell me books for certain areas too

[plucky socket]

For full calculus i would say according to my experience I have used David r Richards advanced calculus book.

[gray gazelle]

https://ia600203.us.archive.org/15/items/noneuclideangeom00mann/noneuclideangeom00mann.pdf

This one?

@plucky socket

[plucky socket]

Yeah

[gray gazelle]

Thx

[plucky socket]

Go for it

@spark jay

Are you here?

[spark jay]

Can't find a pdf on net

All it shows me is David w wider

[plucky socket]

oh it's not available on internet i think

There's a seperate book.

Well anyways

did you try iit level problems?

Like search up on Google jee advanced calculus problems

[spark jay]

Yea I have a book for that and i Constantly do it

[plucky socket]

and try it.

[plucky socket]

name?

Arihant or disha?

[spark jay]

Cengage

[plucky socket]

Oh cool

go for arihant

It's the toughest

[spark jay]

Ok

[spark jay]

Name of the book?

[plucky socket]

Well I have a specific series i follow

There's not any kind of name

Author doesn't matter

Since it's arihant published

[spark jay]

I mean arihant is the publication name what's the name of the book?

[plucky socket]

seperate calculus

[spark jay]

Oh ok

[livid lintel]

https://link.springer.com/book/10.1007/978-3-030-43788-6 but it’s probably too advanced for you

Also not really a workbook but a very nice book

[plucky socket]

Did you finish tewani?

Tewani is one of the toughest writing author for jee adv

Or amit m agarwal

[spark jay]

I mean I'm not just interested in adv I'm interested in maths as a subject I want to study calculus not just to give jee but also to further study analysis and measure theory

[crude flame]

How it can be related to mathematics? Isn't it has to be physics?

[plucky socket]

Well it seems like a research book

[plucky socket]

Maths is available

For calculus

[livid lintel]

Not really

It presents cool methods in evaluating integrals

[crude flame]

I think most of people here read in pdf?

Like me

[spark jay]

Hmm il try it

[spark jay]

Yes

[livid lintel]

You have the pre uni role you aren’t ready 😭

[plucky socket]

hmm i should try it the

[crude flame]

Yes maths books are so expensive

[crude flame]

I think so

[plucky socket]

You have finished cengage right?

[livid lintel]

It’s better to have some complex anal knowledge first

[plucky socket]

Who's the author?

[spark jay]

Almost

[plucky socket]

...

[crude flame]

@spark jay for you try calculus by stewart

[spark jay]

Wait let me check

[plucky socket]

nah that's too advanced

💀

[crude flame]

Nope that is medium

[plucky socket]

I saw my engineeering brother do it

[plucky socket]

Is that?

[spark jay]

How it's the same as jee calc atleast till calc 1

[livid lintel]

Then you aren’t ready for that book

[crude flame]

Yes

[plucky socket]

I didn't try it on myslef

[plucky socket]

which?

Oh my! I didn't look at that book he mentioned

[livid lintel]

Inside interesting integrals

[crude flame]

I think you should study precalculus first

[plucky socket]

I love calculus but not much of integration.

[spark jay]

If you think that's advanced try apostol calc

[plucky socket]

I said advanced based on my brother.he reads it.

I didn't look at it

-_-

[spark jay]

I have studied pre calc and calc 1 brother why tf you think i won't

[plucky socket]

great

[spark jay]

It's not that advanced lol you can study it too

[livid lintel]

Try baby rudin

[plucky socket]

Should try ig

I'll try sometime

[crude flame]

;-;

[plucky socket]

but I'm pretty bored

[livid lintel]

Calc is almost just boring computations

[plucky socket]

-_-

[plucky socket]

Yeah right

[livid lintel]

Proofs are much more fun and useful

[spark jay]

Never heard of it is it diff?
If yes I'll definitely try

[plucky socket]

Lot of formulas with their basic forms

[crude flame]

You must have knowledge of precalc to try them

[livid lintel]

Yeah it’s hard

[plucky socket]

I do.

[spark jay]

I'm giving it a try then

[plucky socket]

I finsihed cengage too-_+

But but

[spark jay]

Every jee aspirant has that lol

[plucky socket]

Fr

Arihant,disha, cengage

[spark jay]

Class?

[plucky socket]

Are the most used

[plucky socket]

12th passout

-_-

[spark jay]

Ohh passout dam
I'm in 11th lol

[plucky socket]

Good luck

Just don't die wasting time with friends

yk i only studied for jee adv

[spark jay]

Thx any tips for chem i really struggle at it

[plucky socket]

Not mains cuz I thought like it's ez

[spark jay]

I'm doing that is that bad?

[plucky socket]

yeah be good at learning names of reactions and their reagents

[plucky socket]

It is

[spark jay]

Yea don't have much

[plucky socket]

I got 91 percenttile

Oc

Disqualified

Cutoff 93

-_-

[spark jay]

fck not me thinking mains is ez il pass adv

[plucky socket]

For sc/st they would've got nit Trichy cse

[plucky socket]

Mains is the real problem

[spark jay]

actually tho it's soo unfair

[plucky socket]

what is the easiest chapter fr u

Maths

[spark jay]

Quadratic

[plucky socket]

Toughest questions come from this chapter

[spark jay]

And number theory

[plucky socket]

Whatever u think is easy

Toughest questions comes

Whatever you think is hard

Basic formulas

bro phy isn't hard

Math always difficult

[spark jay]

how tough can it be I've prepared it from jee adv pyq ctpcm etc

[plucky socket]

Chem moderate

[spark jay]

Tru tho

[plucky socket]

Jee mains>jee adv

[spark jay]

Dam

[plucky socket]

yesh

See

I gave my exam on first day first shift

27 jan

Easiest shift of all jee history

I'm not prepared

I got 150

91 percentile

[spark jay]

If I spend time to study calculus rn and prepare it properly is it going to help me in 12th and jee?

[spark jay]

[spark jay]

Did you take a drop?

[plucky socket]

Not at all

Don't focus on important

Focus on every chapter

Learn everything

If u miss one

You miss 100 marks

[plucky socket]

I joined in govt clg.

[spark jay]

I do but I can focus on chap at one time outside coaching

[plucky socket]

I got many clgs like bits, manipal,vit and so-called entrance level exams college

But due to higher fees i dropped

And joined near govt clgs

[spark jay]

Like a focused on number theory one time then qudratic now I'm planning calc

[spark jay]

Hmm good choice

[plucky socket]

hmm yeah get a grip on every chapter

[plucky socket]

Idc about clgs ik about me

I'll land good placements

😭

okay whatsoever

Give it ur best

[spark jay]

Lol life won't be finished if you don't pass jee there is still chance if you work hard

[spark jay]

Thanks ❤🙏

[plucky socket]

Ah yes GRB and MS CHAUHAN is recommended for chem

[spark jay]

Ok thx

[plucky socket]

It's more than enough

To crack advance itself

[spark jay]

Cya

[plucky socket]

kul

[lusty escarp]

See, I don't really know what to advise you. You are in class 8. My advice was from the perspective of a class 11 student. You can ask for advice from the vmc online teacher OR just go to the center and ask for advice OR ask from someone who has done a 4 year course or 5 year course at coaching institutes.

Also, a lot of olympiads start happening from class 8, you can try those. For IMO, there is a MODS discord server. For physics, you can ask in the physics server, they can guide you better.

[tired glen]

ok sir

[tired glen]

btw did you go in iit (optional)

[tired glen]

ok bro but i m able to solve trigonometry that why i ask to reccomd some book for iit preparation

[molten gulch]

Trigonometry is good but IIT uses a lot of calculus AFAIK

[tired glen]

ohmm....

[tired glen]

i just completed maths of class 10th so i ask that question

[livid lintel]

‘Innovative Integrals and Their Applications II’ is now published

[lusty escarp]

No. I went to IIIT-D.

[tired glen]

ohk so u in iitd

[lusty escarp]

There is one more 'I' in between. 🙂

[tired glen]

ohk

[vital bane]

indian institute of international technology

[lusty escarp]

Indraprastha institute of information technology delhi

[lusty escarp]

Check the rank required for cse outside general there.

[tired glen]

hm.. indrprasth means delhi so when we put delhi instead of indraprasth we get delhi institute of technology delhi

[fresh skiff]

Do you still have those notes?

[tired glen]

oops.......

[tired glen]

Bro so which course you enroll in

[tired glen]

I also want CSE course that's why I prepare alot

[lusty escarp]

Cse

[lusty escarp]

You are quite young right now. Interests change as you progress.

[tired glen]

Nope i have interest in computer and wanted to know its smaller units. I wanted that from class 3 but that time it not possible but now i see that things hence, i m preparing.

[tired glen]

Ya but i can solve trigonometry questions and quadratic equations and solve all question of class 9 and 10

[marsh ingot]

Did someone read "categories and sheaves by kashiwara and schapira"? To know if its good

[maiden glen]

i want extensive proof writing books for self study

[molten gulch]

Velleman's How to Prove it
Hammack's Book of Proof

[maiden glen]

thank you

[molten gulch]

hammack's book is free (legally) so that might be a good option if you're low on funds or don't want to spend a lot of money

[maiden glen]

sorry, gotta exercise anna while she's still capable

[molten gulch]

:P

[maiden glen]

prerequisites for rotman's at?

[molten gulch]

point set, real analysis, abstract algebra

[trail hemlock]

mann

[molten gulch]

hm?

[trail hemlock]

nothing lmao

ohh cuz ur named cat collective

[maiden glen]

great!

[molten gulch]

maybe a little category theory too but we're unsure on that

[scenic kite]

Has anyone here read Mortari's Introduction to Logic? Do you know if it's a good recommendation?

[remote sparrow]

never heard of this book, but there are suggestions for other texts in this channel

[dapper fossil]

is there a book with only integral practice

[rain hound]

Nahin Inside Interesting Integrals

[molten gulch]

those integrals are p. tough if they mean like calc 2 esque problems

[rain hound]

It is. But if it’s calc 2 then you don’t really need a book just on integral practice.

[dapper fossil]

im done with calc but i just struggled with trig one's like sin^4x where i just wanna try to keep expanding my knowledge while learning other math

[molten gulch]

just do all the problems on trig integrals out of thomas or stewart calculus

[dapper fossil]

just curious is the nahin book actually for undergrads cause i would be happy if i could understand like 33% of it in my lifetime

💀

this is crazy how do math majors do it

[hallow oriole]

nahin progresses pretty well and it's not too rigorous, it's definitely doable for a ug

source, me

once someone finishes nahin they can probably do valean although it's much harder

[tribal crow]

so true

[tribal crow]

what's this? a calculus book?

[hallow oriole]

it's an integration book!

[tribal crow]

ah, Inside Interesting Integrals

icic

[hallow oriole]

it's not very difficult but there's some good integrals in there

[tribal crow]

[hallow oriole]

valean is still the king

also

honorable!!

gold suits you

[tribal crow]

thank you!

[tribal crow]

I may have to see these books one day...

[hallow oriole]

read them!

integration's great

it's like a hobby

[tribal crow]

I have such an adversion to integrals

I should work on it

[hallow oriole]

😭 its okay, common opinion among mathematicians

don't force urself!!

[tribal crow]

of course!

[fresh skiff]

Oh damn I just checked three volumes of Amman. He has covered everything

[molten gulch]

He does! -Ryan

[fresh skiff]

However he is a bit fast

[fresh skiff]

Yea that's interesting

[scarlet abyss]

is abstract algebra by fraleigh the way to go?

no previous algebra experience

[stoic hamlet]

What previous math experience do you have?

[scarlet abyss]

uhhhh

calc, doing some analysis next year (bought bartlet and sherbert, done a bit here and there), lots of stats/probability theory but still undergrad

linear algebra

[stoic hamlet]

I like Pinter’s book of abstract algebra but also I’ve never read Fraleigh

Have you ever proven a theorem?

[scarlet abyss]

sure

im not completely foreign to abstract mathmatics, I just don't want something completely undigestable but not something trivial enough to where the book will feel like a waste of money to keep as a reference when I finish it

[stoic hamlet]

Mmm yeah, I think Pinter or Fraleigh is good

[scarlet abyss]

sounds good, thanks lots

necessity of set theory for getting into algebra or is it for more intermediate/advanced stuff? I have some familiarity and a small book on set theory I probably will not cover completely

[fierce hedge]

What's a good book on rings and modules that's not DnF or Robert Ash?

Or a set of lecture notes are also fine

[remote sparrow]

https://www.johnabeachy.com/lectures

[willow merlin]

is there a trigonometry resource with medium - hard exercises

[sweet grove]

do you guys have any roadmaps or books to start self-learning things about nuclear engineering or anything related to the course? if any, what are some level of math do I need to start learning these concepts? it would make my life easier so that I can know some form of it

[olive olive]

I am sure this has been asked

But I, Need, A, Compact, Damn, Book, for, Calculus.

that includes every single detail

one book for all stuff related to calc

or heck even a series works

[gray gazelle]

vnr concise encyclopedia of mathematics 1975 first edition

[olive olive]

wha?

[gray gazelle]

yes

[livid lintel]

Just not possible

[gray gazelle]

just buy 3 books then go to a used book store and replace the binding to make 3 books into 1

then you have 1 book with every single detail

[olive olive]

bro, it could be a sries

or I just not 1 book but at most 3

all the basic things of calc

[olive olive]

can you link me some books directly?

[olive olive]

checkin that

[gray gazelle]

i dont have that sorry

[olive olive]

I mean, links?

[gray gazelle]

vnr is a compilation of many maths

[olive olive]

to some usefull books

[olive olive]

hm, any other?

[gray gazelle]

u have to get someone here that is more knowledgable because idk

[olive olive]

hm ok then

[livid lintel]

Doesn’t matter

There’s like 10,000 different things in calculus

It’s a very large subject

Also the line between calc and anal is up to each professor so

[olive olive]

but basics are less than that

[olive olive]

ok

[livid lintel]

Which do you consider basics then

[gray gazelle]

Axioms

[livid lintel]

Dawg

Rudin’s anal then

[gray gazelle]

Book of all calculus axioms

[livid lintel]

That’s not really calc

[livid lintel]

No such things

All axioms used in calculus isn’t in calculus

[modern ruin]

if you’re trying to start as close to the ground as possible pick up tao’s book

[molten gulch]

@iron pulsar

• Basic probability: Blitzstein and Hwang (STAT110 book)
• Measure Theoretic Probability: Klenke
• Math Stat: Wackerly

[iron pulsar]

the pain point for me is I struggle a lot reading these on my own

how can I make the experience more accessible / easier for me?

lol

[molten gulch]

Do it with a friend if you can

[iron pulsar]

ah yes, my good friend chatgpt t.t /j

[molten gulch]

loool

[hollow shore]

watch lectures on the topic and discuss your ideas here in the server

[forest zephyr]

hiya i cant send an image of what i need to show

[molten gulch]

What subject are you trying to learn

[forest zephyr]

uh its engineering calculus

it looks like partial differentiation

but im not sure if theres anything else to go w it

heres an imgur

[molten gulch]

can you show an example of a problem

yeah

[forest zephyr]

of an example

https://i.imgur.com/UfI0jRh.png

[molten gulch]

yeah those are partial derivatives

for that you just need to go through a standard calculus textbook like Thomas or Stewart's calculus

partial derivatives and vector calculus are generally the last 3-4 chapters of those books

[forest zephyr]

ah okay thank you so much!

I don't need help with resources thankfully I have them it's more i wasnt sure what topics it covered

[molten gulch]

:3

yw

just remember that partial differential equations on the other hand are one hell of a rabbit hole

(functional analysis shudder)

[forest zephyr]

😭

oh man

[fluid skiff]

Are there books which aim to prepare you for maths interviews such as for PhD qualifiers or faculty job?

[mossy flume]

Qualifying exams are based on courses as your university

So the book would be textbooks for those courses

Faculty jobs don't have exams as far as I know, that'd be really stupid

[fluid skiff]

I am more interested in knowing about oral exam preparation strategies where one cannot be ask to solve or prove a theorem..instead it's like casual conversation and discussion with experts on some area. How do people prepare for that?

[normal crystal]

I mean this kindly
but if you were at that point
I have difficulty understanding why you would need to ask here

[molten gulch]

what maths are ya looking for

[gray gazelle]

Like.

For calculus.

[molten gulch]

thomas' calculus or stewart's calculus are the standard books

[modern ruin]

you should probably just practice your social skills, you know enough math at that point if you are applying for faculty jobs

[molten gulch]

apostol or spivak for a more advnaced treatment

[stable flicker]

They don't, but there is a faculty interview and presentation. You will be judged even if it is not an academic exam.

[modern ruin]

like it's probably literally just "go be social"

[remote sparrow]

not every university has oral exams

[gray gazelle]

"Prepare, Practice, Relax." Are what what I'd suggest.

[trail hemlock]

heavy on spivak i love that shit

[fluid skiff]

What I was thinking that casual conversation type of books with more focus on the concepts linking with other topics might be a better book than a book which has mostly problems etc.

[gray gazelle]

What's more your game?

[fluid skiff]

Analysis, calculus, linear algebra

[gray gazelle]

Okay.

Wait.

"Advanced Engineering Mathematics" by Erwin Kreyszig.

It has all 3 in it.

Make sure to read reviews on it so you don't buy a scam.

[gloomy spire]

Is it common for Springer textbooks to have poor print quality? I ordered Langs analysis book off Amazon and some of the pages are falling out on arrival

[trail hemlock]

reprecussion for ordering lang's analysis book tbh

in all seriousness, all the springer books ive ordered have come in perfect quality

[gloomy spire]

I’m getting an exchange, so hopefully the new one is better

[trail hemlock]

🔥

[gloomy spire]

Unfortunately, that’s the one most similar to what my professor will teach

[trail hemlock]

im jus playing, lang's analysis book isnt that bad from my brief skim

[gloomy spire]

Definitely not my favorite book I’ve read

[molten mason]

All of my Springer books are like this, the pages are normally together but the binding/cover are basically already off

[trail hemlock]

idk i like springer, i even ordered some used springer books and the quality wasgreat

[gloomy spire]

Yeah I’ve had no issues until this point with them

[remote sparrow]

springer often contracts out print jobs to various print-on-demand companies, who have varying quality control standards

[cursive orbit]

idt u really need the book for anything other than hw problems tho

[rain hound]

the quality of the binding really went downhill after they switched to print on demand

but it’s usually fine, that case is not

[hearty steppe]

@remote sparrow I just started reading the Hamkin philosophy of mathematics book and it’s quite quite amazing

Hard to put down

[remote sparrow]

https://www.youtube.com/playlist?list=PLg5tKDNI_a86OO6J9HuIngyROBsUqcf_z

there's a youtube playlist for his book too

[hearty steppe]

Yea I have it bookmarked

I liked the RSam podcast feature and he just got featured on Mindscape with Sean Carroll

[normal crystal]

thanks for posting this

[silk eagle]

Lately I have had the great intention of getting deeper into this world of mathematics, but I would like to go from 0 to expert on my own. Could you recommend me some online resources and topics to study? I would appreciate it.

[gray gazelle]

https://www.youtube.com/watch?v=EX0Y--iTNYU

he lists calculus books

[slender wasp]

I've heard of the book called "Berkeley Problems in Mathematics". It's a compilation of problems from PhD quals at Berkeley. However it's from the written exams and pre-2003. I don't know much about it myself though as I'm undergrad level.

[stoic hamlet]

Almost every qual from major schools are online for free — UMich, UCLA, UIUC, Harvard, Stanford, and Princeton for instance

[remote sparrow]

however, none have official solutions written for them

[stoic hamlet]

I think this is a perk — it discourages you from peaking at a solution too early, and if you get really stuck on one you can ask math stack exchange

(Plus, for an undergrad calculus or linear algebra class it would be nice to have answers to check your work against, but by the time you’re doing graduate level qual problems you can probably reliably assess if your proofs are correct)

[gray gazelle]

Princeton companion to mathematics

[olive olive]

thx

[coarse frost]

@unkempt owl

[unkempt owl]

Much appreciated 😎

[coarse frost]

[gray gazelle]

what's a good source to learn the basics of integral equations?

[signal zenith]

Older springer books (printed before like 2016) were probably before they switched to print on demand crap

[signal zenith]

Agree you shouldn’t need answers by the time you’re taking grad classes lol

[feral moss]

Does anyone have a Marking Scheme or a Model Answer for the book "The Tools of Mathematical Reasoning" by Tamara J_ Lakins

[loud cradle]

true, but the print on demand crap started earlier than 2016, i have a few from as far back as 2011
and if you go back even farther (like if you find used springer books from the 80s or so) the binding and covers are also a lot better/more durable

[bright oasis]

Please can anyone help me with mathtutordvd video can't make payment for the subscription for weeks now and i really need it

[trail hemlock]

Can you not just use khan academy?

[bright oasis]

started already with mathtutor and my subscription expired and found it difficult renewing I just wanted sticking with it

[lyric turret]

Just look at table of content

at mathtutor and use khan academy

[native cradle]

Are there any free(Legally) RA books?

[trail hemlock]

well rudin was published a looong time ago so i would think its in the public domain

[foggy quest]

https://mtaylor.web.unc.edu/notes/math-521-522-basic-undergraduate-analysis-advanced-calculus/

[native cradle]

Thanks

[normal crystal]

you can look at these too
https://textbooks.aimath.org/textbooks/approved-textbooks/

[native cradle]

Thanks!

[remote sparrow]

it's not

[trail hemlock]

oh

[gray gazelle]

is college algebra just the same as high school algebra?

[hollow shore]

yes that's US terminology

[molten mason]

College Algebra in college/university level = Algebra 1, Geometry, Algebra 2, Trigonometry at the high school level

In the US

Abstract Algebra is a completely different thing

[gray gazelle]

hey any college algebra you can recommend (I don't like aops style and khan doesn't really got the in depth)?

[molten mason]

Nope, there's honestly not much depth to get into. Know how to calculate area and volume of various things, your trig identities, how to use a coordinate plane and calculate slope and distance. Know how to solve for x. Things like that. Any college algebra or pre-calc text will do.

[queen drift]

Any good order theory books?

[surreal depot]

How to kill a mockingbird

[fresh skiff]

Any review about the book
MULTIDIMENSIONAL REAL
ANALYSIS I:
DIFFERENTIATION by Duistermaat?

[high spindle]

Would anyone recommend me a book for 6th - 11th grade

[tender river]

theres some reviews in https://www.amazon.com/Multidimensional-Real-Analysis-Differentiation-Mathematics/dp/0521551145

works mostly over euclidean spaces and has lots of theorem_like+guided_exercises+project_style problems at the end of each of the two volumes, but it lacks the softer exercises at the ends of sections like one finds in most books

[white bane]

can anyone guide me to discussions and chill channel. I can't find it

[dapper root]

You have the studying role which is why you can’t see them

[molten gulch]

#discussion #chill

[dapper root]

Type “,iamnot studying”

[white bane]

ok. thanks

,iamnot studying

[hasty eagle]

Removed the studying! role from you.

[thin swan]

Dark Brilliance for biographies of great people during and after Middle Ages

[modern ruin]

okay, “,iamnot studying”

[molten gulch]

buh

[fleet veldt]

Good pde book for electrical engineering?
I have these as my subjects in the syllabus (from Google translate):
Introduction and examples

Linear equations of the first order, characteristic

Second order linear equations, classification

The wave equation in one dimension

Separation of variables in a final section

Laplace's equation, the maximum principle

high dimensions

Non-linear equations, shock waves.

Numerical methods for Meier

Numerical methods for a washer - finite differences

Numerical methods for washer - spectral methods, finite elements

[fresh skiff]

wow seems like its worhty to read but prerequistes

I have only a bit backgroud of analysis

Like abbott and some of rudin

[fresh skiff]

Like abbott and some of rudin

[harsh sphinx]

I used Paul's Online Math notes to review all of algebra/trig the Summer before I took Calc I-- plenty of example & end of section probs all with solutions. Had zero trouble with algebra in calc after that

[vital bane]

Axler's measure theory book is freely available on his own website

[tender river]

https://classicalrealanalysis.info/documents/TBB-AllChapters-Landscape.pdf

both volumes are freely available and even if theyre not they are if you look hard enough

[devout fossil]

Can I learn projective geometry alongside Beltrametti's Lectures on Curves, Surfaces... or what are some books to gain the projective geometry background in the quickest way possible?

[native cradle]

thanks!

[molten gulch]

but that's generally reserved an analysis 2 course, so make sure you also get an intro analysis book

[native cradle]

thanks

[native cradle]

OKie, thanks!

[remote sparrow]

#book-recommendations message

[steel cloud]

I want to start a functional analysis. Please suggest a book on it

[gray jungle]

whats your background ?

[steel cloud]

Undergraduate, covered analysis up to Riemann integral, metric space and topology, Abstract Algebra

[gray jungle]

you should cover sequences of functions at the very least, kreyszig is the only FA book i know that doesnt assume measure theory.

naturally the coverage is quite limited

but its a good book

[steel cloud]

Measure theory needed for functional analysis?

[remote sparrow]

for most books

[remote vortex]

Also measure theory is worthwhile in its own right.

It's not essential for functional analysis, but an important part of FA is the study of Banach/Hilbert spaces, and some of the most important Banach/Hilbert spaces arise from measure-theoretic considerations.

So without measure theory you'd be missing important context.

[thin swan]

Anyone read any books Peterson has recommended? Like Nietszche and Orwell

[remote sparrow]

who is peterson?

[thin swan]

J.B

[remote sparrow]

https://www.youtube.com/watch?v=O4KHM-Ibaq4

this guy?

[thin swan]

Bro did not answer the question

[thin swan]

These were the books btw:
Brave New World – Aldous Huxley
1984 – George Orwell
Road To Wigan Pier – George Orwell
Crime And Punishment – Fyodor Dostoevsky
Demons – Fyodor Dostoevsky
Beyond Good And Evil – Friedrich Nietzsche
Ordinary Men – Christopher Browning
The Painted Bird – Jerzy Kosinski
The Rape of Nanking – Iris Chang
Gulag Archipelago (Vol. 1, Vol. 2, & Vol. 3) – Aleksandr Solzhenitsyn
Man’s Search for Meaning – Viktor Frankl
Modern Man in Search of A Soul – Carl Jung
Maps Of Meaning: The Architecture of Belief – Jordan B. Peterson
A History of Religious Ideas (Vol. 1, Vol. 2, Vol. 3) – Mircea Eliade
Affective Neuroscience – Jaak Panksepp

[tribal crow]

I liked BNW

haven't read any of the others

[remote sparrow]

the grandma dream is quite literally from maps of meaning

[thin swan]

Yeah I know

Not reading Maps of Meaning though because it seems useless

Actually one good point from Maps of Meaning is Jordan's research into WW2 Germany

[queen drift]

That’s the one I’ve been reading. I found its wording hard to understand and couldn’t find good print quality

[remote sparrow]

https://www.amazon.com/Lattice-Theory-Foundation-George-Grätzer/dp/3034800177/

maybe this?

https://www.amazon.com/Lattice-Theory-Concepts-Distributive-Mathematics/dp/048647173X

there's also an older version published by dover

[queen drift]

Thx

[steel cloud]

Okay thank you

[molten mason]

Measure Theory starts in September in #events

[heady ember]

Damn it I have to prepare for my exams and, after that, finish up baby rudin

I can't join

[trail hemlock]

noo

grass

noooo

NO

[steel cloud]

Thank you

[gray gazelle]

Hi guys umm from what I've noticed with video courses and a textbook is that the way they explain something... On a video course you really can't umm know what does this mean that and that it only shows you how to apply them with just a brief explanation. On the other hand textbooks usually explain the concept very-very well like the commutative etc2 and I'm really having a hard time should i learn algebra by knowing what these concepts name are or nahh?

[gray gazelle]

still got to be recommendations lol

[magic flint]

it is definitely based on real life

the person is a scammer

pseudo intellectual

[tulip hearth]

book recommendation to practice Calc 1?

[trail hemlock]

thomas

stewart

[zenith marlin]

hi all, perhaps not book recommendations so if this is the wrong place to ask this, please let me know! I mostly do physics and as a result, most of the resources I utilize come from physicists. That being said, there is a professor out of Cambridge, Dr. David Tong, whose lecture notes on various courses in physics are well liked and are considered well written and expansive for various graduate topics (granted, all of them are relevant for his specific field). That being said, is there a mathematician who has attempted something similar, that is, introduction-intermediate graduate lecture resources either in the form of lecture notes or videos on various topics? For instance someone who has tried to lecture in algebraic structures, analysis, topology, differential equations, differential geometry, or other various interconnected disciplines like this? I am aware that mathematics is very expansive and my interest is in any areas that are relevant for physics, so any advice for this would be greatly appreciated!

[heady ember]

I don't know if this is what you're looking for, but Richard Borcherds has a YouTube channel where he uploads lecture videos on a variety of topics --- complex analysis, modular forms, lie groups, group theory, rings and modules, et cetera. By all accounts, his videos provide excellent exposition and clarity, though they might not be the easiest to immediately understand.
https://www.youtube.com/results?search_query=richard+borcherds
@zenith marlin

[tawny nimbus]

was literally abt to link that lol

borcherds is great, somtimes pretty tricky, but great

[heady ember]

Oh and, as an aside, he is a field medallist, if I recall correctly.

[tawny nimbus]

yes, he proved monstrous moonshine, and won the fields medal as a result

that has essentially nothing to do with his pedagogical abilities tho lol

[heady ember]

Pretty based of him to record lecture videos to upload onto the web.

[heady ember]

Yeah

[heady ember]

Sniped cranks bolt back

[tawny nimbus]

the best mathematicians are surprisingly often but also definitely not always the best lecturers -- (tho tbf i don't have a huge sample size here, i've only really seen teaching from Tao, Borcherds and some stuff from Gowers as far as fields medsalists are concerned)

tho i will say andrew wiles's talks are good

[heady ember]

Ah right, as another aside, Timothy Gowers also has some vids on his channel iirc.

[tawny nimbus]

Oh and sholze! Scholze's lectures were good but Clausen's were better lol (part of this was just stream quality but also i think clausen is just a bit better of an expositor)

both are hot tho

[acoustic thorn]

Can someone recommend me a math book for Oxford MAT exam

[signal mountain]

are you from the uk? because if so i dont think theres any need for a book

just do past papers, take from the older ones save newer ones for nearer the time of the exam

you could also look at step papers

i suppose there are siklos' books

[acoustic thorn]

I'm from Turkey actually

[signal mountain]

ah ok well check out the syllabus here https://www.maths.ox.ac.uk/study-here/undergraduate-study/maths-admissions-test/mat-syllabus

[acoustic thorn]

yea i looked that

[signal mountain]

so long as youre familiar with that content then i refer to what i said before

[acoustic thorn]

my teacher gave me pearsons book

college algebra and trigonometry

[signal mountain]

if not learn it through whatever means you like ! there will be a million books, videos, websites etc that cover this stuff

[acoustic thorn]

my question is can i learn by myself from nearly 0 to 31 october or i need any personal teacher or stuff

is that possible daily 8-10 hours study

[signal mountain]

i wouldnt recommend it

you can focus (do good work) for about 4 hours a day

[acoustic thorn]

is teacher must need ?

[signal mountain]

no

also why wait until october to start

[acoustic thorn]

no

exam is at 31 oxtober

im starting tomorrow

fully

[signal mountain]

oh right yes i see

misread

well when you say from nearly 0 what do you mean

what have/havent you done

[acoustic thorn]

like i dont know that well for MAT exam

when i look that syllabus mostly that subjects are such as integration is at 12th grade

i just know functions polynoms etc

so is teacher must need for 3 months or internet is enough

[signal mountain]

i would say just do past papers (untimed for now), see which topics youre weak on then do some work on those topics
rinse and repeat

[acoustic thorn]

i dont know either of them when i looked the past papers i only see i have to learn that sylabuss fully i hope pearson books and internet enough for me

thanks for your help btw

[zenith marlin]

omg thank you so much i will check out!! ( :

[thorn marsh]

is the fever king a good book??

havent read too much of it so far

[raven fjord]

hlo guys

is anyone from india

[molten gulch]

we have family there so what's up

[raven fjord]

i wanted to know which books would bee good for jee preparation for a 10th grader and i know basic concepts of 11th

[molten gulch]

ahhh okay we only know American textbooks, sorry

[raven fjord]

yeah i understand

[soft dagger]

Hello I'm a 23 year old college student and I'd like to relearn math from the very beginning, just to be thorough.
I'm looking at 'Everything you need to ace Math in one big fat notebook' but I fear it may take too long (500 pages). There's a harder one called 'Everything you need to ace pre-algebra and algebra 1 in one big fat notebook'. Another book on my radar is 'Mathematics: A Complete Introduction: Teach Yourself'

[stoic hamlet]

I'd go with the notebook, even if it seems long -- if you think about it, it's compressing something like 8 years of education into one book, so no matter what happens it'll take some time to get through

[soft dagger]

this is a very good perspective, thanks

[warped wave]

Any prerequisites for Diestel's Graph Theory?

Besides discrete math and proofwriting

Some say it's self-contained but the book is titled Graduate Text so I'm a bit worried there

for context i'm a 3rd year undergraduate math student next semester

[molten gulch]

we've gone through bits of it, discrete and proofwriting are all we've come across

[fresh skiff]

Not title GTM does not imply you cannot read it being undergradute

[raven fjord]

hey anyone who is preparing for jee can recommend me any maths reference books except cengage

?

[toxic willow]

Hi, I previously learned calculus for two semesters at college. And I would like to re-learn calculus. Which textbook do you recommend? Is spivak calculus good for me?

[idle mortar]

Oh

[thin swan]

Anyone read books on Germany? Specifically the time period where you know...

[gritty gale]

wdym by jee?

[raven fjord]

its a exam conducted in india to get in one of the best engineering colleges just like SAT fro MIT

[gritty gale]

ah

not sure i'd be the most helpful here

[raven fjord]

its the second most toughest exam of the world

[gritty gale]

since im not familiar ith the sylabbus and all

[raven fjord]

yea ik

[gritty gale]

what sort of topics come up? i might be able to give a short pointer or 2

[raven fjord]

its of physics chemistry and maths

[gritty gale]

ic

tipler and mosca is pretty comprehensive in terms of undergrad physics

[raven fjord]

whats that

[gritty gale]

no ideas as far as chemistry goes

[raven fjord]

tbh i am unaware of that

[gritty gale]

"Physics for scientists and engineers" by Paul Tipler and Gene Mosca

[raven fjord]

phhh

ohh

[gritty gale]

no, i mean i have no ideas. not a book called "no ideas"

[raven fjord]

i know that bud

where do you live

[gritty gale]

uk

[raven fjord]

oh

[gritty gale]

handily the physics is the same in both countries

[raven fjord]

yea

like do you know about kinematics and thermodynamics

[gritty gale]

i studied that ye

[raven fjord]

yea thats in our syllabus to

[gritty gale]

didn't do amazingly but i did well enough that nobody pulled me up on it

shall i check what books they wanted us to read for TD?

[raven fjord]

but your syllabus may be more vast

becuase i am a high schooler

[gritty gale]

granted

but u can just read the earlier chapters

do u have a link to the jee syllabus anywhere

[raven fjord]

yea i can share

https://www.shiksha.com/engineering/articles/jee-main-2025-syllabus-blogId-146181

bro you scroll down a bit and you can see

like it starts from physics

[gritty gale]

ive heard good things about "calculus made easy" by Silvanus P Thompson

[raven fjord]

yea

[gritty gale]

ok so other than the bit about electronic devices but im pretty sure that tipler & mosca covers all of this

i can dm u a link if you'd like

idk how easy/cheap getting a physical copy would be in india

[raven fjord]

but that book i dont think so will be available in inida

[raven fjord]

yea

thats why i would prefer the book specifically designed for the exam and aslo avaibility in india

[gritty gale]

hm. idk anything about which books are and aren't available in india

[raven fjord]

yea its not your fault

gtg bye

[pliant wadi]

Cengage used to be good for math when I was in school idk much about recent trends. Why are you against them? Just asking.

There are books by McGrawHill which are good so you can take a look. JEE'e math portion is really lackluster. So get ready for some slugging. Oh and work on basics, ADV ques really check your basics. Across all subjects.

The Phy syll is much better imho. I personally enjoyed Resnick and Halliday's book and the NCERT a lot back in the day. For chem it's NCERT and JD LEE for inorganic, for organic there's a book on reaction mech that IDR, Solomon's, and some Chauhan guy problem book and for Physical chem N. Awasthi is fun. I also used to like RC Mukherjee.

Also the books are expensive so try to be smart and not spend a lot. I've given away sacks worth of notes and books despite the fact that most of my old books that I frequented are in my google drive.

[pliant wadi]

Most JEE books have pretty much the same material, what matters is how much it suits you in particular. So look around, borrow books (you know what) and just read the one you like. JEE is an entrance exam meant for high schoolers. Don't go down the rabbit hole.

[trail hemlock]

i mean u can find soo many calculus books in india

i remember i got apostol's calc under a bridge in a book market

[willow merlin]

best material prep for jee

[high vigil]

lol JEE is still a topic

[gray gazelle]

VNR concise encyclopedia of mathematics

princeton companion to mathematics

[trail hemlock]

dude i cant think of the name of the market

🤦

[remote vortex]

It recurs very regularly

[foggy delta]

House of leaves.

[heady ember]

"under a bridge" sounds like you're buying something illegal rather than math books lol

[trail hemlock]

well it was a book market

located under a bridge

[remote vortex]

Illegal theorems

[hollow shore]

great book

[gray gazelle]

Lmao

[trail hemlock]

bud?

[vital bane]

lmao

Outsider emoji when?

[molten gulch]

outsider emoji soon

[pliant wadi]

Oh yea one time I went to this old books store, I found a hardcover MAA book in pristine condition buried under a heap of pop sci books.

Some cities do really scam a lot tho and it's not really worth it imho. I had so many books - I recently gave away my last batch. And I am positively archaic.

[remote vortex]

There already is one: 🦉

[molten gulch]

sticker* then

[gray gazelle]

I was looking for a recommendation for a number theory book in the pinned messages, I didn't find any there but I might have missed it, correct me if I am wrong
The only thing that is on my mind atm is "An Introduction to the Theory of numbers" by Niven, Zuckerman, and Montgomery (5th edition)
I have it on mind because Richard E Borcherds put it in his yt playlist.
do you recommend that or do you know of a better one?

also if anyone recognizes any of these , I would appreciate any opinions:
Number Theory: In Context and Interactive
Karl-Dieter Crisman

Elementary Number Theory: Primes, Congruences, and Secrets
William Stein

A Computational Introduction to Number Theory and Algebra
Victor Shoup

[stray veldt]

cant go wrong with the first one for elementary nt

i also like the book by silverman

if you already have some abstract algebra background, ireland rosen is also nice

[gray gazelle]

0 abstract knowledge

[stray veldt]

i would recommend against shoup, since hes a computer scientist

[gray gazelle]

I only know it is hard

[stray veldt]

what is hard?

[gray gazelle]

abstract

[stray veldt]

not really

if you want to learn abstract algebra (correctly) there is a rather recent book called "Explorations in Number Theory, Commuting through the Numberverse"

this introduces abstract algebra in the context of number theory

[gray gazelle]

is that introduction in later chapters?

what I mean is : does it start with number theory first then present abstract?

[stray veldt]

no

it presents it as is necessary or useful

abstract algebra was developed to do number theory

[gray gazelle]

interesting

[gray gazelle]

interesting , I thought it might be the other way around, idk why tho , it is maybe becuz I know there is algebraic and analytic nt

[stray veldt]

generally abstract math is invented to do very concrete math

the early development of abstract algebra (specifically ring and field theory) was to study what is now called number fields and their rings of integers

[gray gazelle]

and that is nt?

[stray veldt]

yes

[gray gazelle]

interesting

[stray veldt]

number fields were invented to study diophantine equations

one equation of interest is called Pell's equation: x^2 - dy^2 = 1 for a fixed value of d

people were interested in integer solutions

[gray gazelle]

I heard about them a number of times but Idk what they r yet

[stray veldt]

but its better to study this in the rational numbers

[gray gazelle]

why is it better?

[stray veldt]

so you can divide

in general, its usually equivalent after clearing denominators

anyways, this equation just begs to be factored

x^2 - dy^2 = (x - sqrt(d)y) (x + sqrt(d)y)

this requires sqrt(d) to exist

which generally it doesnt

so you want to study subobjects of the real numbers that have sqrt(d) but not anything else extra

those are called quadratic number fields and their rings of integers are precisely the solutions to this equation (modulo some extras)

[gray gazelle]

interesting

[stray veldt]

more generally those equations are called binary quadratic forms and their behavior is decided by the splitting of prime ideals in quadratic number fields

other number fields related to roots of unity (so called cyclotomic number fields) were invented to study fermats last theorem

the proofs only fail because their rings of integers dont have unique factorizations

this failure was quite subtle at the time and studied in detail

[gray gazelle]

roots of unity , like omega and omega^2?

[stray veldt]

solutions to x^n = 1

[gray gazelle]

I might be confusing things here

[stray veldt]

the symbol used is often omega or zeta

this also plays into group theory to some extent funnily enough

the roots of unity form a (cyclic) group

but ye, the early development of abstract algebra is very heavily linked with number theory

[gray gazelle]

I can see the links for why is that now ( thx to u )

thx very much

[stray veldt]

try that book if interested maybe

my alternative is silvermans friendly introduction

[stoic hamlet]

I highly, highly recommend "A Classical Introduction to Modern Number Theory" by Ireland-Rosen as an introduction to number theory. (The first few chapters should suffice for an introduction, and the later chapters are for more advanced topics suitable for a second or even third course.)

I think any first course in number theory should do the following:

1. Explain how to solve linear Diophantine equations -- things like 3x + 4y + 5z = 17, find all integer solutions. This is more or less equivalent to developing a theory of prime factorization of integers -- and of course prime factorization is the first fundamental property of Z to study as a number theorist.

2. Explain modular arithmetic, and the structure of the rings Z/nZ for varying integers n — what is the group of units? what are the zero divisors? when is there a primitive element?

3. Use modular arithmetic to solve number theory problems not obviously coming from modular arithmetic

Ireland-Rosen does all 3 of these, and does them all very well!

[gray gazelle]

I heard it is one of the hardest introductory books.

isn't it like a graduate book ?

[stoic hamlet]

It can be (and is!) used by undergraduates — probably it assumed more background than other books, though; but I remember it being reasonably self contained, and it’s a book that grows with you — it assumes more background as you get further into it

[gray gazelle]

interesting

will keep an eye on it

the problem is i don't want to fall into one of these traps
1-book-hopping (difficulty reasons)
2- struggling with smth I truly lack and blaming myself for not understanding

usually second trap is avoided by reading prerequisites and making sure I did it already

yet there is some sense of rigorousness that not detected easily

both traps is solved I guess by math maturity lvl

I guess

[gray gazelle]

thanks

[gray gazelle]

It’s pretty self-contained, to the extent that I was able to read much of it in high school

[torpid tusk]

hey, I'm getting into college precalc seeking an a.s. in mathematics
i feel gated by the fact that this course is a prereq to a prereq rather than anything actually required and i wanna test out of it
i only feel really confident in a mathematical subject when I understand the workings and basic proofs down to their barest intuitive fundamentals
what books should i read to get there on calculus?

my end goal for now is a master's degree
being a mathematician was my childhood dream job but i'm quite washed atm

[rough umbra]

Whats a good recommendation for an intro to propositional and/or first-order logic for a non-math friend?

[lost arch]

what are the best introductory books on algebra, combinatorics, and set theory?

till now have been using Vinberg, Kostrikin, and Gorodentsev books on algebra. Seeking for books of this kind

[remote sparrow]

#book-recommendations message

bona's A Walk Through Combinatorics is good

[lost arch]

thank you

how good is aluffi's book?

i hear its one of the best out there

[remote sparrow]

it's pretty good. things are well-motivated. there are solutions to about 150 of the 400 exercises in the back

definitely check out the author's website for the errata though

[heavy vault]

what r yalls book recs for like an intro to measure theory and more theoretical probability stuff

[molten gulch]

measure theory: folland

[lost arch]

measure by Bogachev is highly regarded here in russia

hes written 2 books, both are called appropriately "measure theory basics, I" and "... II"

i believe springer has them published

[molten gulch]

they have measure 1 and 2 published as a single book from what I just googled

[heavy vault]

ok ty i'll look into both

[molten gulch]

yeah actually

it is both volumes as 1

they're split at chapter 5

[lost arch]

yeah indeed

[heavy vault]

thoughts on tao's book on this?

and billingsley

?

[remote sparrow]

https://link.springer.com/book/10.1007/978-3-030-38219-3

you might be happy to know he has another more recently published book on functional analysis

[foggy quest]

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

[heavy vault]

Tysm this looks really good

[zenith marlin]

anyone have any good and accessible intro resources for clifford algebras?

[tawny copper]

Ireland and Rosen does contain difficult topics (like the Stickelberger relation or the Mordell-Weil theorem). Note that you can cover the 3 points that @stoic hamlet listed with just the 50 first pages (and the book has about 400 pages). The book is introductory in the sense that you can pick it up and learn without knowing anything, but the book gets more difficult as you progress further.

[gray gazelle]

does anyone have a good calculus book for 12th grade which isn't too basic but not too difficult either

yes i do

[stuck zephyr]

highschool calculus?

[gray gazelle]

its called chris mcmullen calculus on amazon $10

[gray gazelle]

yup

get skills practice one not multi variable

[gray gazelle]

thanks

https://www.youtube.com/watch?v=v0YGVbHN8rs

here is a review

[stuck zephyr]

there's one I used before but it's textbook

although it's not worth it unless if you're living in ca

[gray gazelle]

oh yeah i don't live there LOL

[stuck zephyr]

dw it is so useless

[gray gazelle]

MIT has a course posted on youtube explaining the book godel escher bach which is good

[hollow shore]

link?

[still panther]

I really enjoy reading apocryphal math stories (like in Krantz' books) or just about math academic life in general, like Erdos' biography

Would anyone happen to have any suggestions besides the books I already mentioned?

I also like reading peoples experiences at exams and stuff, like Princeton's Guide to Generals, so if you know something in that vein I would also appreciate it

[queen fog]

has anyone read Gallian's Contemporary Abstract Algebra?

[molten gulch]

It's not bad but you should have some experience writing proofs

[queen fog]

i have been posting a lot of proofs in #elementary-number-theory and #proofs-and-logic if you were curious, i actually just posted another one a couple of seconds ago. quick question for you, did you use the book for your undergrad? or self-study? or some other purpose?

[molten gulch]

We haven't studied abstract yet, the info we gave is mostly from what we've heard from friends who took the course last year

we're only now starting out with writing proofs and studying linear algebra

[queen fog]

cool, maybe we can learn together

[molten gulch]

Maybe in a semester or so

[subtle terrace]

Does anyone have any recommendations for a not too long book about odes and pdes?
(one that can be finished in 2-3 months)

[pliant wadi]

I read some portion of it before I'd done group theory. You should be fine imho.

[queen fog]

nice! how many exercises did you typically do per chapter (just a rough estimate)? i noticed his "chapters" are more akin to sections in other books

[wet sentinel]

what are the best books/playlists for introduction to proofs

[molten gulch]

Velleman's how to prove it
Hammack's book of proof

[pliant wadi]

I primarily followed Dummit and Foote so not many from this particular book. From Dummit and Foote though I tried to solve all priliminary ones initially; after I got comfortable I solved the ones that looked like I'd learn something from? I went back and forth a lot. Idk you need to figure that out on your own imho.

See if you feel comfortable with a topic if not, do as many as time permits. Or ykw find some course that used the book and do the ones in the homework.

[wet sentinel]

are they good for self study

[molten gulch]

heard they're good, hammack's book is free too

[wet sentinel]

which edition of each

or it doesnt matter

[queen fog]

a great and FREE one is Ted Sundstrom 's Mathematical Reasoning: Writing and Proof, we used that for a course, just google it

there's also a series of free lectures that follows along with Ted Sundstrom's book, which is nice

[wet sentinel]

where can i find these lectures

with this i will have options for both videos and books

[queen fog]

https://www.youtube.com/watch?v=UuETUEJo0rk&list=PL2419488168AE7001