book-recommendations

[summer blade]

https://audiobooks4u.vercel.app/

Audio books web app

[pliant karma]

book?

[dusk wind]

This is a good start, thanks

[lusty ermine]

guys im trying to understand the solution of the IMO 2020, shortlist problems, specifically the combinatorics, c1, do you guys know any books that can complement me to understand the solution?

Let ( n ) be a positive integer. Find the number of permutations ( a_1, a_2, \dots, a_n ) of the sequence ( 1, 2, \dots, n ) satisfying
[ a_1 \leq 2 a_2 \leq 3 a_3 \leq \dots \leq n a_n ]

[hasty eagle]

レナト (renato , ping if reply)

[mint topaz]

has anyone read animal farm by george orwell???

[narrow relic]

Thanks, had no idea these existed.

What is "college algebra"?

When I look at the table of contents, it looks like the Dolciani book I recommended to people recently, but I thought that material is for like, the first year of high school, or last year of middle school

[warm sinew]

eh

[subtle mango]

not sure why it’s called college algebra but yes most people learn it around high school

at least here in the states that’s how it is

that being said a fair amount of college students take this course in their first or second year

[dusk wind]

some people probably skipped that level of high school algebra
gotta have a way to have everyone on the same page I guess

'college algebra' seems vague considering there are many different types of algebra being taught or applied at college

also I read a few of the openstax books and they had errors or missing content

[narrow relic]

Thanks, I'll keep recommending the Dolciani books then

[narrow relic]

Got it, that's what I thought.

[dusk wind]

yeah mate, other non-content mill open source books are the best we got besides your favorite legends

[narrow relic]

I can't tell if you're being sarcastic about the favorite legends thing

[dreamy matrix]

anyone got a great way to organize books? currently got 50+ books but idk what to do

they're basically just on my desk

[narrow relic]

Do you have a bookshelf?

[dreamy matrix]

No

💀

I had but it got burned down

one of those from ikea

[narrow relic]

Oh I'm sorry...

[dreamy matrix]

nah it's fine

[narrow relic]

Maybe find a used one? Or, you could stack them on the floor in different piles.

Like one stack per topic. With frequency of use stacked vertically.

[dreamy matrix]

yh I got them in diff piles on my desk but it doesn't feel nice, idk how to explain

I want to get access to the books easier

[narrow relic]

Stack them on the floor then

[dreamy matrix]

rather than just lifting the books

[dusk wind]

no sarcasm

[dusk wind]

can you do 5x5 or 10x5

you can put some of the ones you don't need under your desk or elsewhere

[narrow relic]

Cool. I really do think those books are solid

[dreamy matrix]

lol I'm gonna prob buy a bookshelf that sorrounds around a monitor

have you seen smth like that?

[dusk wind]

dunno I don't need a bookshelf as most books I have are PDFs

[dreamy matrix]

ebook reader

[dusk wind]

It's not a preference it's a curse

we're in the modern age, fine print is better but ebooks are more accessible, easier to hold and acquire

[rugged maple]

Are there any good books on differential geometry?

[dreamy matrix]

uh.. I personally like print books since it's just easier

[rugged maple]

I want to learn diff geo, but I heard there is a lot of differing notations and such

[dreamy matrix]

ebooks is just scrolling

[rugged maple]

and I really prefer the type of diff geo textbook with the least index accounting

[dusk wind]

sometimes authors only have ebooks available realistically

[dreamy matrix]

that sucks 💀

[rugged maple]

heard there is a invariant notation, so I would like diff geo books with those

[dreamy matrix]

ebooks or print books

[narrow relic]

Yeah, I think some authors who want to help students out with money are like that. For example this publisher: https://centerofmath.com/

Oh their elementary linear algebra digital book is free now, that's cool: https://centerofmath.com/digital-textbooks

[dusk wind]

open source is the future of math

also this might be really lazy but you can set an autoscroller for your books and easier bookmarks etc

that way you force yourself to get through the content if you backtrack a lot, you can also turn them all into 'audiobooks'

this might help with retention and turning your brain off while reading

[hearty steppe]

Open source is the future of science and tech

[dusk wind]

https://archive.org/details/mathematics-a-human-endeavor-a-textbook-for-those-who-think-they-dont-like-the-s
this book seems interesting and has no bad reviews on amazon

[narrow relic]

That looks cool!

[pliant karma]

recommend me a book

lol thx

[pliant karma]

||what||

[finite gale]

i don't even know what this one is

[pliant karma]

meh

i'll read it by myself then

trollface

[finite gale]

it's too pixely for me to see

[gray gazelle]

have any of y'all read sebastian darke

or rebel angels

[slender rain]

Does anyone know any books or sources to learn intuiton when it comes to proofs? I can do a lot of them, but the thing is it often takes me way too much time, and i often end up overcomplicating solutions. Is there something I can read to like learn what to think about and stuff like that? i obviously will still be doing actual exercises but im thinking about something about the thought process

[woven quail]

Maybe How to Solve It by Polya?

[novel obsidian]

How to solve it doesn't really focus on proofs but there are still a lot of good techniques in there for understanding problems. I +1 it tbh

[stray veldt]

i think this very much depends on the subject and there is no book about proofs that just solves this problem

if you want to get better at proving statements about X, you just have to work more with X

[narrow relic]

I completely agree with this

[stray veldt]

also worth mentioning that "too long" and "too complicated" are subjective and that the proofs that are presented in books are idealized and results of years of research more often than not

so coming up with "too complicated" proofs yourself isnt that much of an issue

[narrow relic]

Yeah I agree with this too

[stray veldt]

(as long as you can verify correctness)

[narrow relic]

😀

[daring lake]

Hello, my Lin Alg course covered content equivalent to chapter 1-3 of Hoffman and Kunze and some additional topics like inner products, dets etc. Would this be enough if I would want to go in studying Rudin's RCA?

I have already studied Rudin's PMA 1-8

[frozen minnow]

Isn't it hard for people to verify proofs of their own? I've used proof assistants for that reason

[stray veldt]

i mean peer review exists for a reason

[frozen minnow]

Also that

[stray veldt]

but "simple" proofs you learn to verify yourself at some point

[frozen minnow]

I'm not confident I won't gloss over fine details, or make the same incorrect assumption

Like, one day, you'll be completely sure you got proof or computation correct, and next day you look at it and notice something very obviously wrong

[stray veldt]

verifying can include asking someone else, i am not convinced proof assistants are the solution

[frozen minnow]

Yeah proof assistants are cumbersome for sure. They more or less works if you can stand its time consuming process, though

[remote sparrow]

math is quite social, contrary to people's conception of mathematicians sitting holed up in a room all by themselves until they find a correct proof

you can be more independent than someone in the natural sciences to be sure

[frozen minnow]

Yeah, the latter sounds like a highly inefficient way of research no matter what field you work in

[lusty swan]

any good book for statistical inference and stochastic processes?

[dusk wind]

Can't expand your mind with 1 train of thought

Speaking of we have philosophy to thank for many of these developments

[dreamy matrix]

anyone got a book with caratheodory theorem?

[subtle mango]

basically any measure theory book will have a caratheodory's theorem in it

see pins for a list

[thorn cloak]

Are there any stochastic processes/calculus books that aren’t dependent on measure theory or in general fairly theoretical instead of (pure) rigor? I’m planning on taking measure next year but I was hoping to get a good foundation in the subject for more immediate applications

[orchid mortar]

What do you mean by "in general fairly theoretical instead of (pure) rigor? "

[thorn cloak]

Well I guess I mean just to understand it rather than be pure rigor

I don’t want to say no rigor, but I do feel like too rigorous can take away from understanding it for a first pass at it

[orchid mortar]

You might want to compare against https://services.math.duke.edu/~rtd/EOSP/eosp.html

[orchid mortar]

I'm not too familiar with stochastic calculus though

[jaunty shore]

Can you recommend some heavy-loaded workbooks/exercise books? For pretty much anything highschool, but mainly algebra (+ differentiation, limits included). Something that just has lots and lots of examples you do and later compare with the solutions.

[orchid mortar]

Other books I think closer to what you want:

• Ross' Stochastic Processes https://www.wiley.com/en-gb/Stochastic+Processes%2C+2nd+Edition-p-9780471120629 (good luck finding this though)
• Gallager's Stochastic Processes https://www.cambridge.org/tg/titles/stochastic-processes-theory-applications (wordy, has some rigour, but not reliant on it)
• Much easier book, Ross' Introduction to Probability Models https://shop.elsevier.com/books/introduction-to-probability-models/ross/978-0-443-18761-2

[orchid mortar]

Get any standard calculus textbook

[thorn cloak]

Awesome, thanks!

[oak tide]

Anybody here read manga 🗿

[fierce hedge]

Many people read manga

[hearty steppe]

Honestly definitely go through an applied analysis level text that gives you a general POV on measure theory. To me I find it quite essential fundamentally for making sense of probability theory and stochastic processes

I always recommend Folland’s real analysis

Like it really started to click for me after going through that book

At least way better now than before*

[hardy patio]

Hi guys, do you have any recommendations for books or resources for preparing for an integration bee? A book which collects some clever tricks would be nice

[finite gale]

i remember there were mentions some of those books here before, but you can probably find some discussion of those by searching up "integration bee" in this channel or in this server in general

[median saffron]

Spivak

[cosmic zealot]

anyone knows any good series/books with quite abit of "hand-holding"?
(my math background is complicated....i should be a senior math undergrad, but i am more like a got kicked out of former major to math, because for whatever reason, math is considered to be the no one wants to go program where i am from)

interested topics are: real analysis, complex analysis(seperate)...hmmm. i am interested in LA(though my lecturer tends to teach whatever he wants rather than follow textbooks. like the 1st course could use an introductory textbook, the 2nd course...doesn't finish it, or use a "somewhat next level book" but seems to incorporate "simplified advanced stuff"

for graph theory, i am getting mostly good reviews(but some negative ones) about Introduction to Graph Theory by Richard Trudeau. what do you think? should i buy it?

[heady ember]

Linear algebra - See pinned. Linear algebra by Friedberg, Insel, Spence is the common rec around here
Anal - Dami stans *Schroder * and its pretty good so far in my experience (only at ch 3 tho)

[tribal terrace]

Does anyone know a good book for learning Japanese?
I know a bit of hiragana and katakana, I want to learn kanji and everything else.

[jovial parrot]

ladr

[rustic grove]

'Inside interesting integrals' looks good, but I haven't got around to reading it yet.

[manic cairn]

The number one thing for learning Japanese is reading Japanese for fun. That will help you a ton.

Using Anki and heisig’s remembering the kanji is very helpful for kanji

[tribal terrace]

These are also in physical copies too, right? Because the last time I asked someone they gave me a digitial copy that I had to pay (I prefer irl transactions more).

[gray jungle]

Any decent books on distribution theory? preferably something with a bit more comprehensive treatment on the subject than Rudin FA

[manic cairn]

Oh, yeah. I only have that in print

kanji koohii is also good if you don’t want to setup anki

It’s a website meant specifically for heisig flash cards

[manic cairn]

I have this first edition French copy of Schwartz mathematical methods for the physical sciences

it has distributions in there

not an answer, but just though you might find it cool

[hardy patio]

Thanks for the answers! @finite gale @rustic grove I appreciate it

[hazy eagle]

are there any good books for olympiad geometry?

[vital bane]

same

[remote sparrow]

Real Analysis

• Understanding Analysis by Stephen Abbott (additional resources [here](#book-recommendations message))
• Introduction to Real Analysis by Robert G. Bartle and Donald R. Sherbert
• Real Analysis: A Long-Form Mathematics Textbook by Jay Cummings
• Arbitrarily Close: An Introduction to Real Analysis by John A. Rock
• Mathematical Analysis: A Concise Introduction by Bernd S. W. Schroeder

Introductory Linear Algebra
#book-recommendations message

Complex Analysis

• Complex Analysis by Joseph Bak and Donald J. Newman
• Complex Analysis by Russell W. Howell and John H. Mathews
• Complex Analysis by Theodore Gamelin

[vital bane]

I vouch for abbott

one of the best math books ever written

absolutely amazing

Why is conway's complex analysis book part of GTM series?

is it not suitable for undergrads who know real analysis?

[hazy eagle]

i am asking plane euclidean geometry, not real analysis

[vital bane]

bruh why tf is this in GTM, shouldnt this be in UTM it's misleading

[vital bane]

check out AoPS books

[sage python]

I hear Conway is on the easy end as far as complex analysis books go

[vital bane]

I see i think i'll use conway + gamelin for complex anal

I heard conway gave good visual intuition on stuff

[tribal terrace]

And what about grammar?

[manic cairn]

use tae kim, but that's tertiary.
reading and listening is still paramount, followed by vocab from heisig for kanji.

[tribal terrace]

What makes a change if it's tertiary?

[manic cairn]

it's still important, but you'll need to learn from it less

[tribal terrace]

Oh ok.

So here's the list...
Tae Kim (Grammar)
Heisig or/and Koohii (Kanji)

[remote sparrow]

i was not responding to you

[loud cradle]

such an unpleasant read though, even the simplest proofs are conveyed awkwardly more often than not.. i'd never recommend it over S&S

[sage python]

Tbh I don't like S&S either lmfao

Gamelin is prob the best undergrad level book, maybe Freitag among the ones that are a bit more advanced? Narasimhan for grad level

[gray jungle]

what do you think of rudin rca for ca dami?

its what my prof used , felt pretty good

[sage python]

Idk it super well, I could see it being good

[alpine rover]

there's also Bak & Newman in the UTM series

and Zill for an even gentler approach (almost no prerequisistes)

[loud cradle]

yea i'm not a huge fan either, i don't like gamelin either 😭

freitag is nice though

[loud cradle]

rudin ftw! (actually i've only skimmed the complex half of rca)

[gray jungle]

i didnt cover some of the later parts of ca admittedly but for the first couple ca chapters he covers it pretty well and swiftly

[short copper]

Hey,

any video or book recommendation on Argand plane?

with historic notes

[formal bronze]

If you're asking for a book on complex analysis, you should check out Complex Analysis by Stein and Shakarchi

[arctic dew]

Do you guys think is it a good way of learning calculus to first read thru stewart's precalculus book, then read calculus 1, 2,3 by openstax from rice university?

my goal is to master calculus mainly for machine learning

[narrow relic]

I can't vouch for OpenStax since I've never read those books but for calculus I'd recommend something that gives you a good blend of "intuition" and proofs

[narrow relic]

I remember learning a lot from this book: https://www.amazon.com/Calculus-Variables-Saturnino-L-Salas/dp/0471698040 (doesn't have to be the newest edition)

[arctic dew]

They are very good, it's very new and they have 3 different editions to cover different topics, so I think I'll go with that

[arctic dew]

thanks

[narrow relic]

OK!

[novel obsidian]

Why not?

[thorn cloak]

I think my uni uses complex variables by brown and Churchill but I’ve heard bad things about it… not sure if any of you have experience with it

[sage python]

That's different than the ones we're talking about

That's more about how to use it than about learning the theory

So for scientists and engineers it "gets to the point" better than the stuff we're talking about, but for math majors it's gonna be a bit deficient

[thorn cloak]

That’s a shame… it’s the honors class too

Hopefully they change the book if/when I take it

[quartz pawn]

Not really a book recommendaition but hopefully it's appropriate to post in here. Does anyone happen to have a set of lectures on differential geometry that they like.

[dusk wind]

I tried to watch stewarts videos but they were too boring

[alpine rover]

videos for anything calculus+ are a godsend

I remember watching Axler's videos for Linear Algebra Done Right

[gentle arrow]

his calc text is fine for non-math majors

[fierce hedge]

Knapp is more suitable for when you have already seen some Algebra before as it goes pretty fast. You can always try the first & second chapter. It'll give you an idea of the intended speed.

[narrow relic]

I didn't like his analysis book, is the calculus book better?

[quaint eagle]

ahh 150 dollar books i see

idk khan academy is free

noice

I dont even know why im on this chat

im a freshman in highschool

I am actualy in precalc though

and i know good calculus

well ok

what class are you in?

cool i have to go to a comunity collage every other Moring for my collage algebra class

the precalc is at the highschool

[copper axle]

Thx！

I will check them out! Thx!

[lyric gate]

Is the book A First Course in Probability by Sheldon Ross theory-heavy?

[orchid mortar]

it's a first course

[pastel ivy]

https://raytracing.github.io/ it's more about coding a ray tracer, but it also goes into the math of it

mostly about the coding and how it works tho

I recommend going into this book with knowledge about linear algebra

[spiral shuttle]

hi, im taking linear algebra now and the book that the course material is based on is introduction to linear algebra, fifth edition (Strang). the book is poorly available in my university's library, any recommendations for alternatives?

[gentle arrow]

shilov

[gentle arrow]

you can probably find a pdf online though

[rustic grove]

Check your dms

[gray jungle]

Bumping this

[stark breach]

how is plane trig by Sir SL Loney for a good grasp of trigonometry?

[hollow shore]

it's garbage

https://open.umn.edu/opentextbooks/textbooks?term=Trigonometry

https://mecmath.net/trig/

try these

[dreamy spruce]

Resources for discreet math?

[zealous coyote]

Shhhh don't say it too loud

If you're instead looking for discrete math, this online textbook might be OK but it depends on your level.

[narrow relic]

Linear Algebra: A Modern Introduction by David Poole. It's the same idea as Strang but I think the explanations are much more rigorous for that level.

[arctic dew]

Gotcha thanks

[stark breach]

thanks brother

[gray gazelle]

what book should I prefer as an undergraduate for trigonometry and calculus?

[inner token]

Can anyone recommend Churchill et al "Complex Variables and Applications " for some motivating exercises before diving into grad level complex analysis?

[subtle mango]

https://www.commalg.org/wp/wp-content/uploads/2022/02/AccessiblePapersinCA-v4.pdf

Is there something like this for analysis?

[spare oriole]

Can anyone recommend me any book for algebra 2 (high school)? idk but every time when my teacher starts talking im just very confused on what she does and the hw she assigened doesn't make sense either and sometimes i dont even have notes since she wouldn't let us copy unless she is done taking which sometimes take the entire period. Thank you so much!

[subtle mango]

check openstax.com

[spare oriole]

okay thank you so much!

[spare oriole]

Can anyone give me tips to study math since i just don't really know how to study except for looking back at my notes. I've been searching on yt but it dont really work for me. Thanks

[finite gale]

Do problems

[sullen dove]

1. Watch videos on YouTube as a refresh every now and then.
2. Find problems and do them.
3. Remember sleep is very important for a good memory and healthy brain so please get some sleep.
4. Take a nap of 30min - 1h 30min if you feel tried (DO NOT sleep past 3pm because it will be very hard to fall asleep.

[spare oriole]

okay tysm! i'll try this tysm agian

[halcyon scaffold]

Are there any linalg books that starts with hamel basis instead of finite basis?

[sturdy shore]

by that, you mean linalg books that cover vector spaces that have dimension of any cardinality?

Roman's Advanced Linear Algebra does that

[halcyon scaffold]

thx for the reference

It's quite annoying that most linear algebra books define span/linear dependence only for finite subsets of V

[narrow relic]

I'm not sure if this is a Hamel basis, but in Vinberg he talks about "countable dimensional basis" in literally the same section as the finite dimensional basis (he calls a vector space with a countable basis a "countable dimensional space"). He then clarifies which of the Theorems for finite-dimensional extend to countable dimensional (showing those hold are given as exercises).

[green oracle]

The Bible

[cold elbow]

💀

[dreamy matrix]

The 'Quran

LMAOAOAOO THERE'S A MANGA GUIDE TO LINEAR ALG 💀

"the manga guide to linear algebra"

[cold elbow]

yo??

[dreamy matrix]

the book is actually good at explaining tf 😭

[cold elbow]

imma read that someday

[storm fossil]

Can anyone recommend a good total-beginner resource for competitive math? Either a book or article-series. Not really something I want a video for.

But definitely prefer a textbook

[prime oak]

is lang a good 2nd text

in algebra

ive done selected parts of d&f in my courses

[tawny copper]

Yes

But like do not read it from cover to cover, you go to the chapters and exercises that interest you, especially if you have done parts of DF already, since there are many overlaps

[fallow bramble]

hello everyone, I'd like to take a look at meta-mathematics field,
I'm a complete beginner because I'm not even sure of what it means,
have you any idea of lecture about this topic ?

[inner bronze]

questionnaire: do we like rigorous textbooks or treat-you-like-beginner textbooks

[finite gale]

#discussion

[turbid epoch]

Hey, I’ve been quite bad at maths in school. Is there a introductory text book to get me up to speed on the basics to be able to dive deeper from there?

[finite gale]

What level of math

[rain wren]

did you try asking in adv/grad-lounge?

[gray jungle]

figured its more fitting here

[rain wren]

I dunno I just think recc requests for such advanced topics are rare and they're answered ones are even rarer

[orchid mortar]

Have to wait for the few people who can answer to answer

[turbid epoch]

To end of high school, beginning of undergrad

[lethal matrix]

Not a book recommendation, but if your foundations (algebra/basic geo & trig) are lacking maybe it’d be helpful to look at khan academy. If you’re firm on those and want to transition into some more rigorous math, I’d recommend Proofs by Jay Cummings. It’s extremely verbose (maybe too much at times) and geared towards people transitioning into more rigorous math. Although it uses some results from calculus, I wouldn’t say calc is a prerequisite for the book. You really just need algebra and an open mind.

[subtle mango]

openstax.com is quite nice

[noble hollow]

Im not sure if its allowed but where do you guys get free e-books online? I cant buy them on springer due to onlinebanking not really being a thing where im from

[gray jungle]

please dont suggest pirating websites such as libgen that deliver free pdfs of books , that would be illegal

[elder stratus]

also definitely don’t google the name of the books you’re looking for. It definitely won’t show up as a pdf on gooogle 90% of time. Definitely doesn’t happen

[gray gazelle]

What book would you recommend to learn statistics?

with little backgrounds

Context is Im taking the AP stat right now and I want a just a more challenging complementary read on statistics

[calm wren]

Hello. Are there any books for discrete math?

[rare estuary]

which book for Knuth? Concrete Mathematics?

[magic moth]

i would go with kenneth & rosen

i dont think concrete mathematics is good for beginners

tbh

Discrete mathematical structures i think its called i have a physical copy in spanish

[narrow relic]

#book-recommendations message

[storm fossil]

Sorry to ask again, I don't want to spam. Are there any solid textbooks for competitive math? Just looking for something to do for fun. It needs to be for beginners.

[tawny copper]

Mathews "problem solving tactics"

You can also check the Everaise academy books

And aops, but for the aops books you will have to pay

[livid lichen]

Is it good for 8th graders

[storm fossil]

Appreciate it. Yeah, I don't mind paid resources.

[full cairn]

Can someone suggest a book on the Banach fixed-point theorem and related stuff? I'm currently reading Metrics, Norms, Inner Products and Operator Theory by Heil, but Banach fixed-point theorem is demoted to an exercise in it...

[livid lichen]

Anyone know a good book for algebra 2?

[gray gazelle]

^

[sturdy shore]

what do you mean by related stuff? banach fixed-point is not difficult to prove and very famous, so you should easily be able to find proofs of it online. I just skimmed over the one in wikipedia and it seems ok

[sage python]

I'd wager either other fixed point theorems or (more likely) applications

Existence/uniqueness for ODEs, inverse function theorem, etc

[sturdy shore]

then zeidler - nonlinear functional analysis volume 1, fixed point theorems is a great resource

[narrow relic]

I think so, yes. Thereś also the pre-algebra book I linked you to recently

[upbeat vine]

Eberhard Nonlinear functional Analysis volume I: Fixed-Point methods. It proves the various fixed point methods and goes into applications of it, from a functional analysis pov

[upbeat vine]

Ahh I missed it, we have an another Zeidler fan amongst us

[cyan valve]

What are some good recommendations for algebraic geometry books? I know Hartshorne is a classic but perhaps not the best for an intro and Vakil's is long and exhaustive with tons of exercises

I'm looking for a book that's intermediate between the two for someone like me with a background in graduate level algebra and geometry and ideally teaches the necessary commutative algebra along the way (although I don't mind having a comm alg book open on the side)

[stray veldt]

I like Gathmann's notes, Daniel Perrin's book and Liu

the former two start with a more classical introduction (adjusting definitions in a way that help with digesting schemes later on though), the latter starts with schemes directly

[cedar flume]

Can someone recommend some book for abstract measure pls?

I've been browsing through Folland & Stein Shakarchi

[cyan valve]

Thanks, I'll check these out!

[keen orbit]

hello everyone how many pages is abstract algebra theory and applications by thomas judson i want to check if the book i have is complet or missing

i have it as a pdf it is 371 pages

[remote sparrow]

http://abstract.ups.edu/

you can check for yourself since the book is legally free online

[keen orbit]

tysm

[raw olive]

is Mathematical Circles by Dmitri Fomin good for a smart 8th grader

[simple minnow]

I'm looking for a good book on trignometry, currently I have found one by Micheal Corral
https://mecmath.net/trig/Trigonometry.pdf
Tell me if it is a good book and if you'd recommend it

[sturdy shore]

lol I discovered it from you recommending it here, it really is nice

[narrow relic]

Measures, Integrals and Martingales by René L. Schilling

[cedar flume]

Ok thank you I’ll check it out

[narrow relic]

Youŕe welcome. I learned a ton from that book, by the way, I prefer the first edition from 2006 (purple cover).

Please let me know what you think of it, I'm curious

[dusk wind]

It seems good, if you don't like it though you can try similar precalculus books or study trig loosely since the topics are short

[sullen dove]

yeah

[livid lichen]

ok thans

ill see the pre algebra one to see if there is anything I dont know then get the algebra one

[livid lichen]

Intermediate Algebra for College Students 7th Edition
College Algebra 7th Edition

My friend has these books, should I use these instead of the one u reccomended or should I just buy the one u reccomended

[livid lichen]

Geometry: Seeing, Doing, Understanding Paperback – November 12, 2020

Is this the right one

Do you have any reccomendations for algebra 2?

[livid lichen]

Or does that book also have algebra 2

[narrow relic]

I think this is the sequel: https://archive.org/details/modernalgebrast00dolc/ . That is the edition from the 1960's rather than the 1980's but I think the title is the same regardless of the decade.

[simple minnow]

My teacher told me that learning trignometry could provide a base for precalculas, he recommended this book

[dusk wind]

I was using it to self study trig again since I slacked off in it and found it an able refresher early on. Main thing is the text is updated

The author also has books in calculus

[small cobalt]

Try to get the 1st or 2nd edition instead, that one is the third I think

[storm fossil]

Is there any number theory book (not necessarily analysis type stuff) that's approachable for a year one undergrad?

I don't expect to be a number theorist after reading the book. It's just for fun. But I do want it to be rigorous. Not a pop-sci book

[remote sparrow]

https://www.amazon.com/Elementary-Number-Theory-Second-Mathematics/dp/048646931X

https://www.amazon.com/Elementary-Number-Theory-David-Burton/dp/0073051888

[storm fossil]

Thanks!

[storm fossil]

Thank you so much for this recommendation. Been reading it and it's incredibly good.

Had already thanked you, but wanted to say thanks again after working through some of the first pages.

[cerulean kelp]

Anyone know of some calculus books for absolute noobs, like for someone who just got into calculus from algebra

[gray gazelle]

Any good maths book for grade 9?

[wise bobcat]

i have the same question !

[flat jackal]

any good ordinary differential equations books with proofs?

[gray gazelle]

Calculus made easy

[gray gazelle]

Mathematics for the million

[sour wasp]

Which book do you recommend me for grade 11 and available in France ?

[gray gazelle]

I don't know about France
But same goes for you

[rare estuary]

https://www.amazon.com/Numerical-Linear-Algebra-Lloyd-Trefethen/dp/0898713617

If anyone has read this book, what sort of prereqs would you recommend?

I've done computationally focused LA but not analysis or abstract algebra

[gray gazelle]

Folland vs Papa Rudin

which is good for what?

I'm not sure if many people have read both to be able to compare

[gray jungle]

papa rudin is rca?

[gray gazelle]

yes

the middle one

[stuck zephyr]

Minecraft for 20 hours holy

[rare estuary]

I've tried that but my numerical linear algebra did not improve 😦

[solar anvil]

Is “A walk through combinatorics “ by Miklos Bona a good introduction into combinatorics and graph theory ?

[gray jungle]

well for starters i think both are quite bad for introductory measure theory without some guidance along the way , but if you know the basic measure theory they are both great analysis books , ile state the main differences i spotted:

Firstly there is certain topics in one book you wont find the other , namely complex analysis is generally not covered in folland while its covered widely in rca and on the other hand general topology/distribution theory/probability/haar measure/hausdorf measure/TVS arent covered in rudin rca (altho mostly are found in his FA book tbf) folland and rudin both write proofs in similar fashion altho folland proofs seem a bit more dense? sometimes but sometimes also writes wayyy more details rudin generally falls in middle ground , i think folland really shines in covering measure theory and L^p spaces (again not as a intro) while rudin fields a bit...weird? doesnt do caratheodry and uses Reisz-markov straight away while folland pushes it to ch7 , folland in the fourier analysis chapter covers L^2 more as a hilbert space than how rudin treats L^2 and writes a lot more details than rudin in this chapter , folland is especially good at showcasing all the small technicalities involved in a proof while rudin famously leaves certain details for the reader to fill.

Follland exercises are generally similar to rudin but there is fair bit more "applied and computational" exercises than rudin who tends to contain more theory in general.

I think rudin explains topics with a lot more intuition behind them than folland who basically treats the reader as someone who has already established analysis is important and isnt looking for just intuition but more so on the applications involved and technical tricks he will need (he highlights certain tricks in the proof sometimes)

[narrow relic]

Hi, what got you interested in this book? Why do you want to read it?

[gray gazelle]

thanks for your input,
this left me with more confusion as both seem to have their pros and cons. does Rudin connect real anal to complex anal or does it feel like two books in one? would you recommend reading his complex anal part or going for Folland and a different complex anal book

[gray jungle]

it does feel like two books in one , altho he uses some measure theory in complex analysis. I think rudin is a fine complex anal book but its a bit more dense than other books available ( like S&S)

and the real anal is basically measure theory and L^p spaces which is obviously gonna be used quite bit in ca tho

[gray gazelle]

I think I'll go for a different complex anal book but the real anal part idk yet

[rare estuary]

I am working with pretty complex lin alg. routines and want to a.) understand wtf they are doing and b.) see if I can improve them for my specific application

[gray gazelle]

Folland seems more appealing with his vast coverage

[rare estuary]

I'm also just generally interested in the topic

[livid lichen]

Which one is the second edition

Does it have a different name

[narrow relic]

Okay. I'm asking because I remember reading some of that book before, but I ultimately didn't find it very useful. I would personally recommend a more theoretical linear algebra book that has more details

[rare estuary]

I may need that as well. But I was hoping for something that gives the detail needed to understand relatively current linear algebra algorithms

[narrow relic]

Okay, that book might be your best bet then, I'm not sure since I haven't looked at it in a few years. I remember thinking it was the most useful of the ones I saw.

The problem is, that the prereqs for understanding that stuff is just... linear algebra itself. But if you learn linear algebra, I'm not sure you need a lot of what is in that book.

[rare estuary]

fair enough, thanks

[narrow relic]

You're welcome!

[livid lichen]

wait is the book on pre calculus cus its called modern algebra and trigonometry

does the book algebra: structure and method have algebra 2 also

[narrow relic]

I don't think so, no, but I'm not sure what the definitions of these various courses are

[livid lichen]

oh ok

[narrow relic]

The pre-calculus book in that series is called "Modern Introductory Analysis", I've linked it here before

[livid lichen]

oh ok

ill read algebra: structure and method and then that then

[small cobalt]

Yes, it's just called "Geometry" without the subtitle

[livid lichen]

Oh ok ill get that

whats the difference between the two

i mean the three

[narrow relic]

Pre-calculus book: #book-recommendations message

[narrow relic]

So, it's a sequence. You first learn Algebra, then the Algebra and Trigonometry material which is what I think you mean by Algebra 2. Then you can read the pre-calculus book.

You can look at the tables of contents there to see.

[livid lichen]

ok ill do that

[small cobalt]

The third edition is allegedly easier and with less emphasis on proof

[livid lichen]

oh ok so the second one is better

[small cobalt]

Second and first are both good

[livid lichen]

ok ill get the one called geometry

i found it on amazon

is it middle school to high school geometry

[small cobalt]

Link me the one you are looking at?

[livid lichen]

https://www.amazon.com/Geometry-Harold-R-Jacobs/dp/071671745X/ref=sr_1_4?crid=92LBANTW2TJ3&keywords=harold+jacobs+geometry&qid=1697315424&sprefix=harold+jacobs+geometry%2Caps%2C97&sr=8-4

[livid lichen]

would it work for stuff like the psat

[small cobalt]

I'm not personally familiar with the PSAT so I can't say. It is supposed to cover the geometry taught through standard american schooling

[livid lichen]

ok thanks

[gray gazelle]

what math book benefits the most from a physical copy?

None

Which math book gains the greatest advantage from having a physical edition?

ok

first one sounded okay

do you read them on an e reader?

[glass badger]

Books are just books but it probably depends on your preferences.
Personally, I like having physical copies of books that are lengthy and I plan reading in their entirety, the main reason being it's easier to avoid distractions and enjoy the readings in quiet places for longer periods of time. If you're disciplined this probably isn't even a problem.
I also like writing in them (though that depends on the paper used for the pages), and I plan on having a bookshelf of my own at some point.

The benefits of digital copies would probably be that you can easily carry a bunch of them around with you, make longer comments, easily erase edits, etc. Also, when taking notes, I find it tedious to write equations by hand or keyboard. Using OCR software you can probably snip equations of interest and copy + paste + edit.

Those are the things that come to mind as of right now.

Rant over (but I hope it was helpful).

[restive falcon]

what's a good model theory text

[remote sparrow]

#book-recommendations message

[restive falcon]

thx!

[wise crater]

B. Hart, T. Kucera, A. Pillay, P. Scott and R. Seely (editors), Models, Logics and Higher-Dimensional Categories: A tribute to the work of Mihaly Makkai, CRM Proceedings and Lecture Notes (53) 2011, 426 pgs.

B. Hart also recently did an expository paper on continuous model theory

[amber galleon]

Hi, I'm looking for a good introductory book to proof-writing and mathematical logic, which is easy to understand, well written, and requires no prior knowledge of other mathematics beyond a high-school level. It should ideally have appropriately** challenging exercises**, with solutions to all or most of them available, whether within the book itself or elsewhere on the internet.

1. Is 'How to Prove It - A Structured Approach' by Daniel J. Velleman good for this purpose?

2. How does it compare to 'Book of Proof' by Richard Hammack, or 'Mathematical Proofs: A Transition to Advanced Mathematics'?

3. Are there any other better alternatives?

Need to know since the paperbacks of all of these are pretty expensive in my country, and online PDF's don't work well for me, even if they're free.

I also just generally want opinionated reviews/comparisons on any of them so I can make a decision on which is better for me.

(Sorry for the long wall of text)

[covert zealot]

This one's worth considering: https://en.m.wikipedia.org/wiki/How_to_Solve_It

[amber galleon]

Thanks, will look into it! Currently looking for something more focused on formal mathematical proof writing specifically, though.

[final swallow]

Well I find that the Velleman book has a better introduction to logic and has harder problems than Hammack

as I'm currently using the Velleman book after reading the Hammack book

[amber galleon]

Thanks a lot, this helps!

Any significant differences in the content covered by the two?

[final swallow]

One thing that the Hammack book lacks is finding the mistakes in a proof

[final swallow]

Velleman has some basic graph terminology, relations functions

Hammack has a introduction to epsilon-delta proofs in calculus which the Velleman book lacks

[amber galleon]

Thanks! Any other disadvantages for the Velleman book apart from lack of calculus-related content? Also, how do you find it overall? Do you think it would be understandable for someone self-studying proofs for the first time?

[final swallow]

well i did find one limit problem in How to prove it

I am currently still in chapter 3 of the book, so I don't know if there are any others

[amber galleon]

okay

[final swallow]

hammack has answers to most if not all odd numbered problems, while Velleman contains less answers

[amber galleon]

ah, okay

i did find an instructor's solution manual for velleman online tho

want me to send it to you? not sure if it's exhaustive though

[restive falcon]

ooh that sounds interesting thank you

[final swallow]

sure

I'll need it, thank you

[wise crater]

if you can find a copy of it in print and its not obscene, mind buying it? i got to meet b. hart at a seminar and he's a sweet guy

[amber galleon]

dmed it to u on discord

[restive falcon]

unfortunately it is obscene

115 pounds

[wise crater]

disgusting

[ripe dock]

Can anyone please recommend me a textbook for Linear Algebra if I barely know anything about it?
One that starts with the basics and builds everything up from there, so you can also see why everything is the way it is.

Something like Tao's analysis I but for Linear Algebra

[wise crater]

axler?

[heady ember]

Linear Algebra by Friedberg, Insel, Spence

See pinned too

[heady ember]

His determinant section is notorious fyi

but his other sections are ok from what i have heard

[ripe dock]

can you please elaborate?

[heady ember]

look at Dami's review in pinned.

[ripe dock]

Somewhat easier (at the expense of some topics that are honestly cool)
huh?

[gray jungle]

I dont think its a easy read but Hoffman and kunze is a good book to consider , it goes into the subject in a lot of detail (maybe a bit too much details in ch5 )

What i love about it is that it builds up towards a theorem through discussions before stating it formally so it builds a lot of motivation and the exercises range from very simple routine to challenging , it is a bit old school and somewhat dense in certain places but id still recommend it over anything else

[ripe dock]

see this

[gray jungle]

it builds up towards a theorem through discussions before stating it formally so it builds a lot of motivation
see this

[ripe dock]

wdym discussions?

sorry if i sound a bit rude

[gray jungle]

In many situations the author will talk about a certain topic in a lot of details and intuitive way before they write it down as a formal mathematical theorem

let me find a example

Starts with a discussion

States the theorem

from the books ive read on LA there is this common trend of throwing around theorems and explaining it later or through exercises , this is less common in this book where most things they write down comes very naturally

[ripe dock]

i don't know enoguh to understand the discussion lol

[gray jungle]

well its just to serve as a example of the general approach

this is not ALWAYS what happens but its a nice addition

[ripe dock]

and it comes down naturally b/c the building blocks for the theorom were explained before in the book?

[gray jungle]

yes

with plenty of examples along the way

its definitely a bit harder than the classical LA books but a good book to read nonetheless

[ripe dock]

Yeah, I want and need (unless the proof is super complicated) to see how and why something is true instead of just being fed a list of theorems

idk how to explain it exactly

[heady ember]

You basically have all the linear algebra you'd need in FIS for more advanced stuff. Only stuff that seems missing compared to something like H&K seems to be algebra stuff, but might as well read an alg book for that imo.

FIS is also quite gentle when it comes to math books.

[ripe dock]

What is it with H&K?

And wdym by gentle

[heady ember]

Try proving everything yourself

[gray jungle]

gentle as in easier

[heady ember]

Yeah

Doesn't obliterate you

[ripe dock]

Again idk how to explain it, but something that starts with the basics needed to understand what something actually is instead of just throwing it at you

For example not teaching calculus without teaching limits (my experience)

[gray jungle]

you get used to it haha

[heady ember]

The scanning made it seemed cursed for a bit lol

then i realised it was just mathscr font, if i rmb its name correctly.

[gray jungle]

Id say axler , FIS and h&k will generally explain topics and not "throw it at you " they just do it differently

just have to find something that resonates with you

[ripe dock]

?

[heady ember]

Yeah well, that's part of what I meant by gentle.

[gray jungle]

H&k is a shorthand for hoffman and kunze

[ripe dock]

And what is it with the book?

[heady ember]

Nah its Heckler and Koch (joke)

[gray jungle]

in what sense?

[ripe dock]

How is it compared to FIS or other books?

[gray jungle]

its harder and contains more topics

also a bit old school

but goes into more details

its not THAT hard tho , that would be roman

[ripe dock]

I didn't phrase the type of book I want properly but I think you got the idea

[gray jungle]

all theoretic linear algebra books fit what you said

so dont worry too much about that

[ripe dock]

Then how is FIS different compared to other books?

[ripe dock]

Tbh I have bad experience from learning math from school, I love math but I just hated how things were teached without any background/building blocks (i.e teaching calculus without teaching limits)

[heady ember]

Readable and gentle

[gray jungle]

Open FIS and give it a try

i think its a good book too

[ripe dock]

ok thanks

[pliant basin]

hey, what's a good book that would suit and help me ? I have judt started calculus.

like 3 weeks ago,and I'm having trouble with it and i really wanna learn and understand it thoroughly

[wise crater]

bout what

what was your calc 2 like?

nah b what'd you guys cover

[tender river]

what is b?

[wise crater]

You could get started on real analysis, baby rudin is the meme answer

baby rudin is actually not bad at all. I dont know any specific texts that are good for self study

theres the pinned messages

also get started on lin alg too

[covert zealot]

Beyond Spivak's Calculus?

Rudin's Principles of Mathematical Analysis is definitely good if you've moved beyond Spivak's Calculus.

[small cobalt]

Are you in Uni currently?

You should do Spivak's Calculus imo

[gray jungle]

Terrance tao analysis is a good read

i dont think it needs any background aside calculus , you will have to learn a bit about basic proof writing tho

[small cobalt]

Spivak's Calculus is full to the brim of excellent exercises, better than abbott or tao imo, but the number of them make it tricky to recommend if you are time pressed. For self study I think it's the best basic real analysis book

[subtle mango]

lots of real analysis at that level is just calculus

[small cobalt]

Ome variable calc yeah

[subtle mango]

but with more rigor

[small cobalt]

The exercises and exposition make it more geared towards analysis

Even though you can argue it teaches calculus as well, I wouldn't really recommend it to someone whose main goal is to learn calculus as opposed to analysis

[rare estuary]

There are a ton of exercises. I started SC with the intention to do every problem, but I have realized that doing so will take at least two years 😦

[small cobalt]

There is a lot of spread in the difficulty

The most difficult are extremely challenging

There are plenty of easier ones to cut your teeth on too though

[rare estuary]

yeah, the harder ones have one or two asterisks

So you are warned.

I've only completely failed to solve a problem on my own once so far, but I'm not that far into the book.

[small cobalt]

I think the harder spivak problems are harder than those in slightly more "advanced" books like abbott

Which is the main reason I prefer it to abbott if you have the time to commit to it

I like Carothers as a sequel to Spivak

[rare estuary]

But not something like "Calculus on Manifolds"?

?

[small cobalt]

Calculus on Manifolds is a hard book to learn from for most people

Shifrin's multivariable mathematics might be a better place to go if you are heading in that direction

[rare estuary]

I just want @fickle whale to stop bullying me with differential forms

But thanks

[small cobalt]

[fickle whale]

I did stop!

[livid lichen]

I found the revised book can I buy that one

Is the revised one worde

[sage python]

Oh is it my turn to start bullying you with differential forms?

[rare estuary]

😦

I guess until I know the generalized stokes theorem I will have to endure ridicule and mockery

[sage python]

You think that's where it ends?

After you learn that you're gonna do a reading group with me on DeRham Cohomology and eventually Hodge Theory, I hope you realize

[rare estuary]

stop, I just want to solve solve my little ddes

[sage python]

Your what?

[rare estuary]

delay differential equations

That's how I strayed from engineering into math proper 😦

[wise crater]

yooo carothers was my squeakuel analysis book too

[remote sparrow]

#book-recommendations message

[stable hawk]

Does anyone have a pdf version of R.A. Adams and C. Essex: Calculus ( a complete course), Pearson 10th edition? I need it for my course on exchange

[narrow relic]

Sure!

[unique frost]

Hello. I’m a first year maths uni student. I’m struggling with Calculus 1(used to be called Analysis) , well we covered Sequences, Divergence and Convergence of Sequences but I’m struggling with the definitions and proving some claims.
So please suggest a book for me! That can help me get started into uni maths

[sturdy horizon]

What's a good book to self-study multivariable calculus? I'd prefer a book that has a lot of rigor (since my singlevar was like that and I really liked it), as well as a bunch of exercises? The exercises isn't a necessity since I can just get a separate workbook if I need to

[dusk wind]

maybe this https://www.mecmath.net/VectorCalculus.pdf or this https://www.whitman.edu/mathematics/multivariable/multivariable.pdf

[sturdy horizon]

thanks

are there paper versions of these?

[dusk wind]

uhh dunno but you can always print

most authors sell their books somewhere but I cant guarantee print quality

[sturdy horizon]

yeah i hope

paper generally works better for me

hmm I hope for good quality

[dusk wind]

I hope these fit your criteria

[sturdy horizon]

I think so

at least skimming the preface and table of contents

thanks

[dusk wind]

🫡

[hearty steppe]

Anyone heard of these? http://www.faculty.luther.edu/~macdonal/laga/

http://www.faculty.luther.edu/~macdonal/vagc/index.html

[dusk wind]

seems meh

[urban bear]

https://www.amazon.com/School-Zone-Addition-Subtraction-Workbook/dp/158947323X/ref=sr_1_7?crid=17DI7L9ZUYSAB

do u guys think this book will make me better at math

[keen orbit]

where can i find solutions of problems in abstract algebra by foote and dummit

[mystic orbit]

What the f u c k is "Foote and dummit"

[keen orbit]

name of 2 of the authors

[short violet]

Does anyone here have the Kindle app?

[short violet]

?

[covert zealot]

Yep, it's good for textbooks on a Tab 8.

[gray gazelle]

midnight library

so fun to read

[keen orbit]

??

is there a solution manual ?

[mystic orbit]

I know

[shadow hedge]

Is there a better rigorous linear algebra book with applications than the one by Friedberg and Insel? I am currently using that book but it is very terse with few to no explanations.

[mystic orbit]

The joke is that everyone calls it "dummit and Foote" lel

[hollow shore]

https://github.com/gkikola/sol-dummit-foote

[shadow hedge]

I have also looked into LADR by Axler but I heard that it does not have applications

[finite gale]

what about Dummit and foote

[upbeat vine]

Lax is definitely more rigorous and applications heavy but requires a bit of expertise.

[keen orbit]

i moved from friedberg's to greub's

linear algebra by werner greub is rigorous

i am still at the beginning of it

[keen orbit]

tysm

[shadow hedge]

Are you talking about linear algebra done right by axler?

[upbeat vine]

I am talking about linear algebra by Peter lax

[shadow hedge]

What are the prerequisites of this book?

[keen orbit]

sets like unions intersections and more , groups ,lattices and some other stuff but they are stated as a prerequisite chapter

[remote sparrow]

#book-recommendations message

[keen orbit]

there is a chapter 0 which states all prereqs

[keen orbit]

i was searching for this how do i find it

when i want to send it to someone

[shadow hedge]

Thanks

[remote sparrow]

what do you mean

are you asking how to use discord search?

[keen orbit]

#book-recommendations

no i mean how do i type this thread that takes to the list of books

[shadow hedge]

Are these books rigorous enough for an applied math major

[remote sparrow]

uh...i guess have a good memory?

[keen orbit]

so for example there is a thread that leads to a list of books that sloth recommended is there a way to reach them

[remote sparrow]

well my message is not pinned

so you have to manually search for it

or i have to repost the link

[remote sparrow]

yes

[keen orbit]

#book-recommendations message

There are these too if you want

[remote sparrow]

this message is pinned

you can find it by clicking on the thumbpin icon

[keen orbit]

yes i found that out

[tender river]

tack-ninga-monkey-blue-tack-sharp-tip-gif

[remote sparrow]

i was trying to illustrate what a thumbpin looked like

but i forgot i have no image perms

[keen orbit]

tysm

[shut pike]

Anyone has any good books for math Olympics? For 9 th grader and above?

[fierce hedge]

Wait how TF, you didn't get Emeritus status after getting Active?

[remote sparrow]

no

is that only granted to very active members?

i only got active for a very short while

[fierce hedge]

I see, why not just ask the mods I guess

[keen orbit]

i think that you should get emeritus after spending a lon period of time in the server

oh numby has it but he hasnt spent alot of time

idk then

[finite gale]

I'm pretty sure that's from very active

[small cobalt]

What country/level are you at

[velvet glacier]

The challenge and thrill of pre collage mathematics

I am 9th grade and.... It's really hard for me

It consists of proof questions, no direct ones

[shut pike]

I want something what is studied in university

[shut pike]

Ik

[small cobalt]

Stuff studied in university won't usually help much with olympiads

[velvet glacier]

Which grade and country are you

[shut pike]

9 Georgia

[velvet glacier]

The authors of the book I mentioned designed the olympiad papers in the 1970s for india

[shut pike]

In Europe

[velvet glacier]

I don't know about georgia tho... Hmm

[shut pike]

?

[small cobalt]

If you want to prepare for University maths have a go at Spivak's Calculus, if you want to prepare for competitions then have a look at the australian maths trust book Problem Solving Tactics. If PST is too hard have a look at the everaise academy handouts and books by the UKMT

[heady ember]

Rather than Spivak's Calc, one might prefer using Schroder's anal book

[velvet glacier]

Is that really it's name

"Anal book"

[cold elbow]

ofc not 💀 💀

[gray gazelle]

💀

[velvet glacier]

I was gonna copy it and search that but realized what it is

[cold elbow]

any good books for algebra and above with problems so i can understand english math problems better ( engliish isn't my 1st language )

[velvet glacier]

I recently got a book on Discrete mathematics for studying sequences. I am going to start that after finishing reading Anna Karenina and Ulysses

[gray gazelle]

Can someone recommend a good geometry textbook?

[finite gale]

Hartshorne

You will need to specify what level of geometry you're looking for or at least what prior knowledge you have

[gray gazelle]

I'm at a beginner level

[finite gale]

That doesn't clear up anything

High school, uni?

[gray gazelle]

I'm currently in calc 2 but I would like to get better at geometry

[finite gale]

Try khan academy then

Although there's an aops geometry book that's quite nice as well I think

[wise bobcat]

khan academy ... you mean mr SALkhan .. Salman "Sal" Amin Khan (born October 11, 1976) is a Bangladeshi-American... the computer sciecne genius who ... teaches kids 1 + 1 = 2 ?

[finite gale]

Please do not ping me if you are just shitposting

[small cobalt]

Basic geometry or contest style?

[gray gazelle]

Basics

[small cobalt]

Check out Kiselev's geometry

[fierce hedge]

I had very active around the time I got helper

Plus if I remember correctly Emeritus is based on cumulative time spent

[narrow relic]

Someone here recently mentioned the Apostol Calculus book and I thought it compared pretty well to Spivak from what I remember.

[small cobalt]

I've recommended apostol before too, if you're intending to study anything other than pure maths I'd probably pick it over Spivak

I think the exercises in Spivak are more or less the best prep for a pure mathematician at a certain level though

To be clear, either of Spivak or Apostol are excellent to go through and my preference for one or the other is hair splitting to some degree

But I think e.g. Apostol has a better set of computational exercises than Spivak (and good theoretical ones too) whereas Spivak's heavier theoretical lean in the exercises is precisely what makes it superior for pure maths

[livid lichen]

Ok thanks I'll get it

[hearty steppe]

Anyone else tried working through this text? The exposition is a little all over the place but finding info snippets hasn’t been too bad

https://books.google.com/books/about/Group_Theory_in_a_Nutshell_for_Physicist.html?id=heOoCwAAQBAJ&printsec=frontcover&source=kp_read_button&hl=en&newbks=1&newbks_redir=0&gboemv=1#v=onepage&q&f=false

[storm fossil]

Does anyone have experience with Spivak's Physics for Mathematicians? Any prerequisites for it? I think he says that it's written as an introductory course, so I wouldn't expect it to have very steep requirements.

But he does mention in the beginning that differential equations would be nice but not mandatory.

So, seems a bit confusing in terms of what expectations he has for the reader.

[sturdy shore]

differential geometry, not differential equations

aka graduate level mathematics, which is why the book is called physics for mathematicians
it's an introductory book on physics, but addressed to mathematicians

[storm fossil]

Ah, thank you 🙂

[velvet glacier]

Is spivak calculus more difficult compared to stewart calculus?

Or calculus early Transendentals

Which of these books should I read?

I finished geometry, algebra and trigonometry

[crimson leaf]

Spivak is more so an introduction to analysis and proofs than a calculus book. It really depends on what you want Stewart is a computational calculus book but doesn't do proofs

[cursive orbit]

short answer is yes

[velvet glacier]

No, which one should I start my calculus

[finite gale]

they are of different flavor

one is trying to get you to go toward analysis and the other is just computational calculus

[velvet glacier]

How do they differ

"Analysis" "Computational calculus" What even are those?

[velvet glacier]

So should I read calculus early transcendental Or Thomas calculus

[cursive orbit]

what are you trying to learn calculus for

[velvet glacier]

Just interested in maths

Not school or anything so I don't have anymore to teach me so I want a good textbook

[quartz thicket]

you can do practise from cengage maths book

[velvet glacier]

But I have to understand the topic before practice 💀

[quartz thicket]

the book also contains theory

[velvet glacier]

Hmm

[cursive orbit]

then spivak

[velvet glacier]

Can you send an amazon link or something

[velvet glacier]

Isn't that a little hard

[cursive orbit]

yes

math is hard

[velvet glacier]

Nvm the book is 19,000 Inr I am not buying it

I can get a laser printer and print 10copies of the book for less than the cost of 1unit on amazon

[quartz thicket]

you can get soft copies of books on internet

[fierce hedge]

Which book, spivak?

[velvet glacier]

Yes

[fierce hedge]

Just print the book yourself or use some online printing website

[velvet glacier]

But I would like to learn from it in school too where electronics are not allowed

[velvet glacier]

Wait thats an actual good idea

Can you please name any online printing services

Which hopefully don't charge more than the Amazon price

[fierce hedge]

I'll dm it

[velvet glacier]

Ok dm me

[fierce hedge]

Already did

[cold elbow]

can you also dm me

[velvet glacier]

For spivak calculus I don't need color printing right?

They are no images am I correct

Because colour printing 4x the cost of printing, and I don't want 4x cost to look at like 20images a little better

Also, what size are textbook pages in

Like A4 of B5

[finite gale]

Uhhh

Please don't print out an entire textbook

...

[rigid barn]

There are plenty of images, but B&W is enough for them.

[velvet glacier]

Why

This printing website offers a pretty low cost

700Inr compared to Amazon price of 19,000Inr

[rigid barn]

Only thing is IDK how good it'd look on A4, because the pages of the actual book are like twice the size.

[velvet glacier]

So A3?

B5?

[rigid barn]

I have no clue about formats beyond A4.

[velvet glacier]

But why tho

[velvet glacier]

You gotta adjust when you print the textbook why yourself

So I am willing to adjust

‎23.37cm x 26.16cm

It's almost equal to A4

[vivid sandal]

Im currently in grade 11

Whats the beginner friendly book to learn calculus

I managed to learn limits and its concepts just fine but my highschool book doesnt really explain much and even the oarts it explains is very convoluted

Warning: Im a dunce

[velvet glacier]

Stewart calculus

Or stewart calculus early Transendentals

But most people here recommended me Spivak Calculus

[vivid sandal]

Is spivak more advanced than stewart?

[velvet glacier]

People here tell me it's more difficult

I don't know about advanced tho

[vivid sandal]

Hmm, do both stewart and spivak teach calculus I?

[velvet glacier]

Also, all the books I mentioned cost a fortune, so it's better to download a pdf and print it yourself or by a print site

[velvet glacier]

They start from Pre calculus

So you need to know trig and algebra for it

So it starts from the basics of calculus

[vivid sandal]

I know the basics of trigs, identities, formulas yada yada

[velvet glacier]

Then you would be good with them

[vivid sandal]

Oh it teaches trigs too

[velvet glacier]

I haven't myself bought it, still in the same stage as you, searching for a good textbook to start on

What grade are you, I am 9

[vivid sandal]

Hm, thank you

[vivid sandal]

11

[velvet glacier]

Oh ok

[vivid sandal]

Ciao

[velvet glacier]

Oh you are Chinese?

Wait ciao is Chinese right

[cursive orbit]

uhhh

no

[velvet glacier]

Ohh Spanish?

Ahh yes spanish

[fierce hedge]

Cause printing books without the consent of publisher is illegal. You'll be fine as long as the printed copy stays in India

By book I mean the whole book not few pages

[velvet glacier]

It will be in India tho

It's not like I will distrubute it or anything, in that case is it illegal or not?

[velvet glacier]

But I would have to wait a few days for a few pages to arrive from the printing service

Which isn't ideal

[fierce hedge]

Broooo... I meant that printing a whole book is illegal, it doesn't matter if you print it whole at once or 1 by 1 page wise. What you're doing IS ILLEGAL okay, it's just cause the alternative is paying more than 10k. Is that clear?

And don't talk about it here, piracy is not allowed here

[manic cairn]

There are exceptions in the USA

I know this is India

[fierce hedge]

Like what?

[manic cairn]

the teach act is a big one

you can’t keep the reproduced work for longer than class sessions

but you could definitely copy it

[fierce hedge]

Are you allowed to print a whole ass book for class sessions?

[manic cairn]

not all at once

I would think

but it wouldn’t surprise me

it’s usually applied to digitized things

*often applied

[velvet glacier]

If its like that then I wouldn't be able to buy any book

[velvet glacier]

Paying 18k more

So I can't do anything here? Something legal

But the literal second result on google is a pdf file, how is that any legal, distributing the textbook

Ok then, see you guys after I earn 19k, but why are textbooks so expensive

[velvet glacier]

You said it's fine until it stays in india

I don't think I am going to us anytime soon so it will be in India

Is it still illegal?

Just someone answer this question, I will stop this discussion

[fierce hedge]

Yes cause it is a copyright violation

[heady ember]

That's why we should adopt communism, our copyright.

[keen orbit]

is there calculus book by apostol that covers single and multivariable calc or at least calc i and ii?

[cold elbow]

W mindset

[slim bramble]

yes, search up calculus by apostol

[small cobalt]

apostol calculus vol 1 deals with single variable, and volume 2 does multivariable

[keen orbit]

does vol one deal with calc 1 and 2 (from limits to infinite series) or only calc 1

[small cobalt]

it covers all the content just perhaps not in the same order

[hearty steppe]

I think Apostol’s real analysis is really nice but I only went through the first chapter

The exposition is beautiful

[narrow relic]

I remember thinking his version of Rolle's theorem was weird, or something, and stopped reading it

[rustic lintel]

it is italian i think

not spanish

https://tenor.com/view/finnick-zootoropia-ciao-flm-gif-19588307

[fast pawn]

Is Munkres a good introduction to undergrad topology? The course would only cover general topology

[finite gale]

It's "good"

(But it's very dry)

[gray jungle]

https://www.math.toronto.edu/ivan/mat327/?resources Consider using these notes instead , they generally follow munkres but are better

Munkres is a great reference tho

[dapper sorrel]

whats the best source you recemmend while studying algebra1 (logic,sets and functions,relations,complex numbers)??

[rotund birch]

Well the book is good as long as you have the fundamentals Crystal clear , I think

[dapper sorrel]

??

[gray jungle]

idk who tf calls that algebra 1 , thats just basic set theory and paul halmos book naive set theory is a good reference

[dapper sorrel]

ok then dont call it algebra 1

[gray jungle]

guessing its a university course name

[dapper sorrel]

i need some refrences that are like courses with exemples that can explain the concepts

and ++websites for exercices meant to get tricks in proofs etc..

[dapper sorrel]

yup

[gray jungle]

they dont happen to have a course called analysis I too do they?

[gray jungle]

This book contains pretty much all the basic set theory you will need , explained pretty well

[dapper sorrel]

yes they do

[dapper sorrel]

thnx then , someone who didnt read many books is pretty nervous about it

[gray jungle]

a more odd but good option to is chapter one of munkres topology

it contains exercises too unlike the last i recommended

just curious , are you in LU ?

[dapper sorrel]

no AI national algerien school so maybe related to france? even considering we are going by an outer french program

[gray jungle]

yeah my uni follows french curriculum , they call a bunch of courses unrelated names lmao

[crimson leaf]

MIT unironically

[fast pawn]

Thank you!

[gentle arrow]

what

this is NOT algebra 1

[remote sparrow]

https://maa.org/press/maa-reviews/metric-spaces-a-companion-to-analysis

[crystal cedar]

i recommend cat and the hat for basic calculus

[waxen tundra]

What you guys will recommend me to self-study to prepare myself for college as a math major?

[finite gale]

what math do you already know

[waxen tundra]

I am currently taking a precalc class but I know some limits and derivatives

[covert zealot]

You could read the recommended texts for the first year topics.

[graceful moon]

Liebecks “a concise introduction to pure mathematics” is pretty good and you can usually find it really cheap

Id also say literally any calculus textbook, whatever one your course recommends or that you see for a good price

Nicholson Linear algebra is free online and a good introduction to the subject that touches on some of the more advanced ideas towards the end (also lots of applications if that’s your thing)

I’d say those 3 subjects would set you up pretty well for a maths degree, but just look at the classes you’re taking and what they recommend

[finite gale]

if you're looking to do a math major, i think doing some spivak could be good

to familiarize yourself a bit early on with proof(-writing)

[cursive orbit]

at your level, I would say a discrete math book would give you a nice taste

[halcyon scaffold]

Abbott analysis, elementary number theory, some naive set theory, maybe some baby logic/proof writing

Also some geometry is always good

[keen orbit]

hello everyone if someone is planning to do a chemical engineer major whats the best calculus book to use for self study,apostol stewart or another book

[remote sparrow]

stewart or something like it

[keen orbit]

ok tysm

[median saffron]

Velleman for the win

[rigid thistle]

e

[heady ember]

Personally, discrete math, in particular one by Rosen, left a sour taste in my mouth (I didn't like it). Maybe also look at some reputable books in a couple areas, like lin alg or intro anal, and see which you like

[warped wave]

Hi! I've been told that Rotman has very good explanations but the exercises are easy. Is this true? If so, which book supplements Rotman with more advanced problems in abstract algebra?

[fierce hedge]

I am doing his advanced Algebra book and yes, most exercises are on the easier side at least compared to Herstein. You can always follow some course and use their problem sets

[waxen tundra]

What if I want to try a more proof based linear algebra book like Axler's if I don't know the basics of linear algebra, should you recommend me doing that?

[warped wave]

Thanks!

[novel obsidian]

I strongly reccomend "An introduction to advanced mathematics" by paolo aluffi. They are a set of course notes that cover all the basics of university maths as well as a smattering of more advanced topics (some general topology, the Schröder–Bernstein theorem, zariski topology) and they will super help you with developing enough mathematical maturity to tackle proof based maths. The exercises aren't massively challenging but they were created on the basis of "if you understand what's written, you will get the answer", which I think is the correct approach for a first encouter with "proper" mathematics.

https://math.hawaii.edu/~pavel/Aluffi_notes.pdf

They will prepare you super well for uni

[novel obsidian]

(this is in response to your original question)

and I wouldn't try axler if you don't know any linear algebra. It's not a comprehensive book by any means. You kind of need to know gaussian elimination and eigenstuff if you want to get the most out of it

[graceful moon]

I think that specific book might be a little heavy if you haven’t even learned calculus, it’s definitely a solid book on linear algebra, but it even says it’s aimed as a second course on linear algebra

I personally learned linear algebra from Nicholson and I enjoyed that book, it’s not perfect by any means but it’s a gentle enough start to get you comfortable with sets and proofs and the book does cover more abstract concepts later on

You can also just freely skip all the applications which is what the class I took did

[fierce hedge]

Axler covers eigenstuff so you don't really need to know that in advance

[finite gale]

Axler however does not cover determinant stuff

Go read something else for that

[fierce hedge]

I mean it does just questionably

I heard he's gonna define determinants using multilinear algebra in the 4th edition

[novel obsidian]

Ik axler covers eigenstuff, but imo it's not comprehensive enough

at least for me

[fierce hedge]

Fair enough

[graceful moon]

If you’ve not even taken a calculus class I would say keep it simple and just read an introductory linear algebra book, there’s a reason linear algebra tends to be the first class maths students take a uni. It’s easy but it allows you to focus more on understanding simple proofs, the arguments and sets, learn all of that, take some more classes then come back and look at linear algebra much more abstractly, potentially even do so just as part of a differential geometry course

[waxen tundra]

I'm going to go with Nicholson's then, thanks

[waxen tundra]

I am going to check that one later, thank you

[waxen tundra]

I have some background of high school geometry, is that enough or should I be more in-depth with the subject?

[elder stratus]

I’m looking for a concise book on linear algebra that’s not just the abstract theory, I also want it to cover basic algorithms. For instance computing null spaces, finding eigenvalues and eigenvectors etc.

If it helps, this is for reference purposes, I already know linear algebra.

[hallow hemlock]

💀

[halcyon scaffold]

By geometry I mean rigorous geometry based on some axiomatic system (e.g. hilbert's axioms for euclidean geometry) and various non-euclidean geometry. Projective geometry and affine geometry are both very worth leaning.

The textbook I had in mind is https://arxiv.org/abs/1302.1630 (has prerequisite on calculus)

Hartshorne's Geometry: Euclid and Beyond is also very good, but it's considerably harder

[waxen tundra]

thank you

[gray gazelle]

Does anyone know of a good AB/BC calculus book that's good for teaching yourself and has somewhat challenging problems?

[gray gazelle]

I need a book on discrete math and linear algebra

[narrow relic]

Why both in the same book?

[gray gazelle]

Wait I need both in different books

[narrow relic]

For Discrete Math I recommend: #book-recommendations message

Linear algebra, just scroll up a little or search within this channel, there have been many recommendations recently

[gray gazelle]

Thanks brother

[narrow relic]

You're welcome.

[dusk wind]

keep your algebra sharp while dabbling into the other algebras

and by algebra I mean trig/functions

[remote sparrow]

https://maa.org/press/maa-reviews/philosophical-and-mathematical-logic

[gray gazelle]

Can someone recommend me a geometry book. I want to start from beginning.

[graceful moon]

Euclid’s elements is a good place to start

Pretty foundational imo

[remote sparrow]

Kiselev's two-volume works on geometry, Lang's high school geometry textbook, the big fat notebook for geometry

[tawny crater]

algorithem design?

if anyone has special recs. Basic level course, Already did the data structures course

Would like a book that drills the mentality because it feels like a wall to me

[cursive orbit]

my school uses dpv which I think is decent

[pale pecan]

hello!

can anyone suggest me a book for calculus

like i am starting from scratch

if u have any suggestion pls ping me

[median saffron]

what are you looking for? like a rigorous proper calculus book with proofs and stuff ?

[pale pecan]

like i wanna learn calc

[median saffron]

but are you looking for like a relatively easy calc book or a hard one

[pale pecan]

i think i'll start of with the basics whatever that is

like from the roots of calc

[median saffron]

hm

i guess you can always go with james stewart

its a very big book that covers everything from calc 1 - 2

[pale pecan]

is there volumes?

ig i'll start from calc 1

[median saffron]

yeah theres different versions

he also has one for calc 3 if you get there

[pale pecan]

nah, i'll start off with calc 1

it got the basics?

[median saffron]

yeah all the basics u will need like functions and limits

look up james stewart early transcendetals

[pale pecan]

yea great!

i'll find it on amazon?

[pale pecan]

https://m.media-amazon.com/images/I/71pe35-jS8L._SY385_.jpg

this?

[median saffron]

yeah theres different editions as well but i dont think theres much of a difference, the one in the image is the 7th edition

[pale pecan]

https://www.amazon.in/Calculus-Early-Transcendentals-Course-Mate/dp/8131531899/ref=sr_1_1?crid=2NFPLU0OTKUZO&keywords=james+stewart+early+transcendentals&qid=1697719068&sprefix=%2Caps%2C226&sr=8-1#customerReviews

heres the amazon link, if u are wondering

[pale pecan]

is there key differences?

[median saffron]

dont think so, i believe its just mostly differences in formatting and maybe a couple changes here and there but nothing significant

[pale pecan]

alr!

thank you very much

[median saffron]

np

[pale pecan]

till i buy the book, i am following this

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

this series

[median saffron]

sure thats a good idea

[pale pecan]

ok mate! thx so much

[median saffron]

np

[pale pecan]

the reviews are also pretty good!

[median saffron]

james stewart is a popular name in the calc area

[pale pecan]

oh i see

this is calc1

right?

[median saffron]

yes and it has calc 2 as well

[pale pecan]

oh nice!

[storm fossil]

Does anyone have experience with a book called "PWN the SAT"?

I'm preparing for either doing the SAT, Accuplacer or both.

I'm usually pretty suspicious of books with titles like this. I'm using more "serious" books to actually learn the math, but also figured it might be good to have a book specifically tailored to the SAT-style problems.

My "learning" books are Basic Mathematics by Serge Lang and Calculus by Spivak, both of which have been really pleasant to work through and I feel like I'm learning a lot.

But SAT and similar tests are pretty notorious for having questions that aren't immediately obvious on how to break them down if you're not used to it.

This might be too long of a comment. Basically, if I'm preparing for the SAT, do you think PWN the SAT is a serious book worth working through? Bad practices? Anything like that?

[native hill]

ISO of good books on Discrete Math, Linear Algebra, and multivariable calculus

[small cobalt]

Discrete: concrete mathematics by knuth et al
linear algebra: linear algebra by meckes^2 or linear algebra by friedberg, insel, spence
Multivariable calc: vector calculus, linear algebra and differential forms by hubbard^2

[rustic grove]

I will offer up Kunze for linear algebra and vector calculus either by Marsden and Tromba or Susan Jane Colley

[crisp geode]

I need a book, a textbook perhaps that can teach me geometry from scratch up to a highschool level

Can you guys recommend any?

[stuck zephyr]

khan academy

[small cobalt]

kiselev's geometry

[crisp geode]

Asked for a book

[graceful dawn]

Loney's Geometry

[crisp geode]

Seems like I like this one, that's all I need for pre-college geometry right?

[small cobalt]

Yep

[crisp geode]

Thanks

[rustic grove]

Does anyone know any good books on ODE theory? (not like Zill or Boyce, like more theory based)

[remote sparrow]

his single variable calculus book only covers calculus 1 and 2. if it just says early transcendentals, it's 1-3.

[remote sparrow]

did you personally use meckes?

[remote sparrow]

do you know some real analysis

[small cobalt]

no, but I saw it mentioned here by you and I like what I've seen of it

[rustic grove]

I know the contents of a first analysis course including some metric spaces

[remote sparrow]

look into hirsch, smale, and devaney or arnold

[rustic grove]

Ok thanks 🙂

[small cobalt]

the organisation and coverage is very good for a first text blending computation and theory, better than strang or anton imo. I think my one complaint is the exercises are a little easier than I would like for stronger students

it fits the 1st year at most uk unis well imo

[rustic grove]

Ye, I mean it just lacks on the proof side, I like Anton's book for the basics then kunze, spence or Wilson

[remote sparrow]

typically linear algebra is a sophomore course taken after three semesters of calculus in the US

[small cobalt]

if you want to go harder on theory, I'd go straight to FIS

[rustic grove]

I have it

[small cobalt]

I think it's good that Meckes includes computation and applications for a first course

[rustic grove]

It's good I really like it, but I supplement it with Kunze and Wilson

[small cobalt]

are you UK based?

[rustic grove]

I self teach my maths (pure knowledge at least)

Wbu?

[small cobalt]

Warwick

Wilson fits our 2nd year linear algebra courses pretty well

I'm just on pure maths, but I took some physics options

yeah