book-recommendations

[lapis sundial]

oh sweet thanks

i started reading munkres' analysis on manifolds, idk how that compares

i just know CoM is more terse :p

might look at it again

[gray gazelle]

it's the same book but more verbose and with exercises more computational

[lapis sundial]

ouch

[gray gazelle]

it also has more content

[lapis sundial]

guess i'd better check out CoM then hehe

[gray gazelle]

both are good

[lapis sundial]

not doing mvc, but gg

yeah i mean i paused because of other interests

[gray gazelle]

munkres gives very detailed arguments where spivak may fail, but sometimes too detailed

[misty wyvern]

for MVC I recommend learning physics 😏

[lapis sundial]

lol EM in particular ig

[misty wyvern]

It's astonishing how little mvc I retained until differential geometry, at which point I recovered all of it at once.

[lapis sundial]

mind you, as someone who learnt mvc from physicists, not necessarily the best way lol

xd

but yeah learning physics stuf alongside actual mvc instead of from physicists is what you mean i'm sure and ye that's cool

[gray gazelle]

Any other books similar to Lang's Basic Mathematics that carry you from pre-algebra to precalc?

[misty wyvern]

sigh

im gonna say it

khan academy

i did it, i finally recced khan academy

i upheld the server tradition

[solemn rover]

yes

the whole book does, but sometimes it's sold in such a way that it's cut into two books

you should check with the publisher so that you know exactly what you're buying

[gray gazelle]

should u learn linear algebra before multivar calc?

[misty wyvern]

No but I think there's a good argument to learn both at the same time.

Look at the book Hubbard and Hubbard, I really like it

[gray gazelle]

I will check that out, thx

[solemn rover]

No, it's not. multivariable does deal with vectors, operations on vectors, and a quantity from linear algebra called the Jacobian determinant, but you can cross that bridge when you come to it. stewart's book contains a chapter on "vectors and the geometry of space" that is a suitable introduction. some other books, like the one by apostol, contain a much more serious and thorough introduction to linear algebra before they start multivariable calculus. so it varies by author.

I agree it's a good idea to learn both at the same time. if you choose not to, you should really learn linear algebra at the same time or before you study ordinary differential equations or you'll miss out on a huge aspect of the theory.

apostol and spivak are comparable

[gray gazelle]

thx

[misty wyvern]

Apostol is more comprehensive but also wordier and not necessarily in a good way.

Spivak prepares you as best as it can for the terseness one normally finds in math texts.

[halcyon garden]

What's a good place to find this theory of ODE's ? My prof just does computations cus it's a course for scientists 😩

[solemn rover]

Hmm, idk. You can kinda figure it out yourself, as long as you have good books in both subjects individually that reference the relevant notions. it would be ideal if you could find a book which treats both tho. idk i just learned diff equ out of Boyce & Diprima and the book by Tenenbaum and Pollard

[halcyon garden]

Ahh alright, thanks

[misty wyvern]

That Tenenbaum book's size and table of contents is absurd

I can't bring myself to read it, ever

[halcyon garden]

Boyce and Diprima seems well written

But it's only computations eh... rip

[solemn rover]

yeah i just sampled it as necessary for the class

just dipped into a bunch of miscellaneous shit, sturm-liouville theory, various orthonormal basis systems for polynomial approximation- chebyshev polybomials and legendre polynomials. exponentials of matrices, things like that. special properties of homogeneous systems. i definitely didn't read it linearly from cover to cover

[halcyon garden]

Ah okk

[solemn rover]

sorry i was responding to teafortwo, i meant the tenenbaum pollard book

you should probably read big linear chunks of the boyce diprima book tbh

what edition is this book on now

10th

[jagged glacier]

Hi, can anyone suggest me the good source for linear algebra for higher level.

[sage python]

@jagged glacier I used Hoffman and Kunze which is good but old school. Friedberg-Insel-Spence seems to be good

Do not use Axler, the writing actually seems good there but he makes you think about determinants and characteristic polynomials in a bit of a moronic fashion

Axler = Linear Algebra Done Right

People seem to like the counter book, Linear Algebra Done Wrong, by Treil

So fwiw I am suggesting these as like

"High level intro books"

So they're situated above your "bish bosh Gaussian elimination" books, but can be done if you don't know what a matrix is

If you haven't seen linear algebra before, or at least haven't seen much proof-based stuff, then these are good

If you're looking higher than that... depends on what you want

Generically I'd say algebra, or advanced applied books. Idk the latter, for the former read one of my pinned posts for a decent amount of commentary

[misty wyvern]

Axler doing determinants last is a funny meme

[wraith dome]

Anybody have book recs on probability, card games, or gambling in general

[blazing vine]

best resources to do self study/guided courses for oympiad maths?

[gray gazelle]

Guys, what are your fav maths book?

spivak's calculus on manifolds

Damn! I really want to read it one day because it looks appealing. Not too many questions and looks concise. It is a pity I need to study real analysis to understand it though even though I studied Calculus single variable

it's the concise book, every exercise is important

All maths book should be like that. Strang should learn one or two things from him considering how his book contains so many exercises

If I ever write a math book, it'll have max 30 questions per chapter

[scenic ether]

Hello, any recommendations for the following subjects? thank you

[gray gazelle]

anybody have a good book on functional analysis

[gray gazelle]

for linear algebra use hoffman and kunze

for theory second one use baby rudin

[narrow talon]

God there’s so many great functional books

My favorite is the one by Brezis

[gray gazelle]

@narrow talonany calculus of variations books

[narrow talon]

Brezis also has some CoV 😅

But that’s all I know about the subject

[misty wyvern]

Rudin's Functional is good too, never stop reading Rudin

[gray gazelle]

I appreciate the recommendation, but Khan Academy isn't a book.

I like Khan Academy, but I'm looking for books.

[halcyon hornet]

I have books for Prealgebra - Precalculus.

Good ones which may get challenging, I mean.

[gray gazelle]

I'd appreciate it.

[halcyon hornet]

You can use AoPs books.

DM if you like.

[narrow talon]

Why the Sully’s for this comment, Rudin functional is indeed a very good choice, very different and complimentary perspective from Brezis or another more pedagogical book

[cunning copper]

does anyone have the oxford math dictionary? worth it?

nvm

[sudden kindle]

Can some one recommend a text/reference /lecture series on the connection between representation theory and spherical harmonics?

[shut lily]

What are the prerequisites for Understanding Analysis by S. Abbot?

[gray gazelle]

another more pedagogical book
this is exactly why

[misty wyvern]

What the fuck is spherical harmonics

Is it a meme subfield of analysis

is it the higher topos theory of analysis

[marble solar]

Stein's Fourier Analysis, Marshall's Complex Analysis, Spivak's Calculus, Spivak's Calculus on Manifolds, Rolfsen's Knots and Links, Farb and the other author's Primer on Mapping Class Groups, and Schulten's intro to 3 manifold topology

Not in order, but those are the books that I found that resonated w/ me the most so far

[sudden kindle]

its used in physics

they are special functions on the sphere that satisfy some kind of differential equation or something

[misty wyvern]

ahh

fermion occupation dynamics

[lapis sundial]

come up in laplace eq in spherical coords ig

[gusty smelt]

Yeah the spherical harmonics show up in QM and basically anywhere you wanna solve Laplace on S2

[gray gazelle]

Does someone here has the "Algebra and Trigonometry, James Stewart - 2nd edition"?

[polar tulip]

libgen does

[marble solar]

[cunning copper]

snitch

[tawny crater]

what do people here think about apostol calculus?

[misty wyvern]

it really do be a book

[short cliff]

Is there a similar group for physics

[narrow talon]

#old-network

[oblique moon]

can someone pls give me the pdf download for rd sharma class 11?

[clear sail]

is discrete-time signal processing a good book for engineering-applied math?

the one by oppenheim and schafer

[sharp stratus]

Any book recommendations for learning Vectors (like from the start)?

[quick hornet]

any linear algebra textbook

[sharp stratus]

I have the Intro to Linear Algebra by Gil Strang and it seems like it assumes you know what a vector is..

but thank you for replying!!

[quick hornet]

uh, the first section is spent on explaining what a vector is

are you perhaps not familiar with the concept of representing points on a plane in tuple notation? like the point (3, -2)

since that seems to be the only prerequisite knowledge that the first section of strang needs

if you want a more explicit introduction, the first chapter of lang's text of the same name maybe?

[gray gazelle]

What are good mathematics magazine to follow?

[quick hornet]

arxiv mailing list

[sharp stratus]

I'm sorry, maybe I'm dumb, but from what little I was exposed to vectors, it had something to do with arrows and magnitudes....seeing a different start put me off-guard a bit, even more so since I don't know anything about matrices.

[quick hornet]

ah, the high school physics version of vectors

thats not exactly wrong but a bit overspecific

lets take a step back here

from a fully formal mathematical perspective, a vector is an element of a vector space. in practice, though, this explanation doesn't really help, so let's be a bit more specific

you can visualize a vector as an "arrow" in your "space"

for example, the vector (3, -2) corresponds to an "arrow" that goes 3 units to the right and 2 units down

[gray gazelle]

is there math magazine?

[quick hornet]

you might see where the physics definition you mentioned comes in: we can compute the "length" (magnitude) and "direction" of this vector

(the magnitude by the pythagorean theorem, the vector by elementary trigonometry)

this vector (3, -2) lives in 2d space

we could also have vectors that live in 3d space, for example

(2, -1, 4.5)

this vector goes 2 units right, 1 unit down, and 4.5 units forward

[sharp stratus]

Yea, that was the last time I was in touch with math sometime 2 years ago. So, everything seems super jumbled in me head..

[quick hornet]

in theory we could have vectors with any numbers of entries

(v_1, v_2, v_3, ... v_n)

this is harder to visualize since we can only "see" three dimensions, but mathematically perfectly fine

and even useful in some applications

(e.g. if you have 4 pieces of data you want to communicate at once)

this is... all a vector is

conceptually

its a "thing", usually something with multiple entries, that "lives in" some space

and is usually visualized as an "arrow" in that space

we can add vectors by coordinate-wise addition:

(2, -1, 4.5) + (7, 1, 0) = (2 + 7, -1 + 1, 4.5 + 0) = (9, 0, 4.5)

we can subtract vectors the same way

but we can't multiply or divide vectors

there are operations "like" multiplication that we can do to vectors, though, such as the dot and cross product

but presumably your text covers those later.

the first chapter of lang's intro to linear algebra basically says what i just said in more words (and some pictures)

so you might want to look into that? but honestly there isnt too much to say

[sharp stratus]

Firstly, thank you so much for taking the time to do this (means a lot)!!

[quick hornet]

||also this explanation is very wrong from a formal perspective but that doesnt matter, at least for now||

[sharp stratus]

Secondly, I had a question...it is okay to ask it in this channel?

I mean about what you just said...

[quick hornet]

sure

[crystal lion]

asking a question about asking a question

[sharp stratus]

How is a vector different from a point? That is, if it is different from a point...?

Ah....is it the "magnitude" of the vector part...

[quick hornet]

right, and to be more specific

a vector isnt exactly a "position"

so much as it is an "arrow" on the plane

we could place this vector wherever

the two red arrows here both correspond to the vector (2, 3)

they move 2 units right and 3 units up.

the point (2, 3), meanwhile, is specifically the blue dot here

in practice, this geometric visualization is kind of limiting

like it works totally fine in "common" cases, but you should get used to thinking of vectors as just "collections of data/numbers"

rather than specifically the arrows on a plane/vectors-and-magnitudes idea

both understandings have a place, mind

(this is where someone plugs the 3b1b linear algebra series if you want help connecting this abstract notion to the visualization)

oops typo, meant to say they move right

not left

fixed with an edit but uh, hopefully that didnt confuse you lmao

[sharp stratus]

Not at all! Thank you so much for doing this!

[quick hornet]

https://www.youtube.com/watch?v=fNk_zzaMoSs might be worth your time

vectors arent really a complicated idea (at least at first), but theyre a powerful one

[sharp stratus]

Good to know!

[gray gazelle]

ooo

i saved it as watch it later, thanks mate

[quick hornet]

it pains me to explain vectors like this but c'est la vie

[gray gazelle]

la vie est dure

[misty wyvern]

Broke: vectors are lists of numbers
Woke: vectors are elements of a vector space
Bespoke: vectors are elements of the regular subspace of the domain of C* algebras

[orchid pollen]

I found this paper illuminating.

[quick hornet]

suspicious pdf

[misty wyvern]

given discord spaghetti code you can probably do arbitrary code execution through pdf embeds

[solemn rover]

haha

i downloaded it

i think it was generated by gpt2 trained on a bank of mathematics papers or something

pretty funny

[viral hill]

seems like it was made using https://thatsmathematics.com/mathgen/

[solemn rover]

neat

[misty wyvern]

yeah its a markov chain

not a gpt

p sure

yeah it is just checked out the documentation

adlib + matkov

[quick hornet]

i wonder whether a gpt would be able to construct semi-sensible arguments

like obviously nothing mathematically correct, ml hasnt come that far yet

but like

it might start a proof by contradiction and actually end it claiming something is a contradiction

and that kind of thing

[misty wyvern]

my experience so far is it builds things that have the right "rhythm" or "culture" but that are otherwise nonsensical. it will probably use the right words indicating a proof by contradiction at the start but end the "proof" with an irrelevant definition, thats only half-correct

[quick hornet]

or even state a corollary and kinda half-use the theorem in the proof of the corollary

[misty wyvern]

probably not, that requires mechanical connections. gpt-3 can only build technical statements of the form "here is one fact, here is another fact involving a similar word and connected with accurate words"

to give a bad analogy, gpt really be the kind of ai to mistake a 2-legged dog for a person

[gray gazelle]

Has anyone used Keith Nicholson's Introduction to Abstract Algebra?

If so, how is it?

[young torrent]

Fun fact guys: Khan Academny has a Linear Algebra course

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

[gray gazelle]

Can anyone suggest me a book for Geometry which has tough proofs please

[pure iris]

maybe "a first course in geometry" by Edward T. Walsh?

[narrow talon]

What kind of geometry

[gray gazelle]

Geometry of triangles

[gray gazelle]

Oh thanks , any more books?

[quick hornet]

if you want tough proofs, euclid

if you want "proofs" like SAS and whatnot, any high school geometry text will work

[brisk ice]

They also have multivariable calculus and differential equations but I think it is lacking at least in the actual amout of problems

[subtle siren]

I'd say it's far harder to find a book that best matches one taste than to find a suitable list of exercises

[sharp latch]

YES reppin my man

Book 1 of Euclid in particular is incredible and pairs really nicely with people just starting geometry

[brittle latch]

what edition of baby rudin yall suggest

i have a pdf of the third edition but a physical copy of the first

[misty wyvern]

latest

the lack of corrections on earlier editions are dumb

[brittle latch]

ive already found 3 typos lol

damnn aight tho

where do yall suggest i buy my books from, i ordered on amazon but they ran out of stock :/

[hallow lark]

Any books for beginning abstract algebra?

[fluid bay]

Artin

Dummit and foote

Jacobson

Maybe Aluffi if ur a ugct

@hallow lark

[young torrent]

Alright

[fossil badge]

A Book of Abstract Algebra by Charles Pinter

[dapper root]

Wow so good thx for the book recc winter

[atomic hound]

Hello,i would like a book about math proof with proporsitional and predicate logic!any?

[static crest]

dont use pinter or aluffi smhmh

[atomic hound]

What?

[small garden]

have y'all heard about fermat's library?

[grand osprey]

Umm both are great texts written really well

[small garden]

I don't want to derail anyone else's conversation but if you're looking for a place to read papers I strongly suggest you check it out

[ripe isle]

You guys might be interested in getting this free book on Ordinary Differential Equations: https://people.maths.ox.ac.uk/trefethen/ExplODE/

[rose vine]

Hi just wondering if anyone here has read the book "GEB A Eternal Golden Braid"? I'm currently reading it and want to know if there is anyone who is also taking notes on the book, that would like to exchange?

[cunning copper]

any good math history books or biographies/autobiographies?

not so much the math itself but the life of the individuals

[gray gazelle]

you might like EGMO Evan Chen

but it might be very tough

however its not thaaat rigorous

[tranquil ocean]

The Weil conjectures

[marble solar]

Boyer's A historical development of the calculus

Is a dover and very good

wrong person zoph

Sorry

[sharp latch]

Fantastic book but haven’t finished it and didn’t really take notes

[marble solar]

Boyer's history of calculus

[sharp latch]

The man who loved only numbers, perfect rigor, the man who knew infinity

[dusty grail]

does anyone have any recommendations for a first book on fourier analysis? I feel like this might be a tight requirement but are there any treatments of the topic which include both rigor and intuition. Similar to abbot’s understanding analysis or axler’s linear algebra done right

[misty wyvern]

Duoandikoetxa.

Stein.

Oh sorry first book

uhhh go with Stein and Shakarchi

[gray gazelle]

Does anyone knows a site where we can find famous math books for free?

[bronze raven]

spivak calculus

i said calculus on manifolds

its sort of rigorous I guess

but you need some

imo khanacademy if you want to learn how to become a calculator

[dusty grail]

@gray gazelle ok thanks

[grand osprey]

I think Khan academy has a really good course on multi variable calculus(in the non rigorous fashion you may be looking for) , which Grant Sanderson (from 3b1b) presents!

[livid ermine]

Calculus: Early Transcendentals by Stewart

or the book we used at our uni was adams and essex

[gray gazelle]

anybody have a book on projective geometry

[hallow lark]

What’s a good book for beginning logic/proofs

[broken meadow]

book of proof is short

and ok

by richard hammack

[hallow lark]

Tysm

[cunning copper]

@marble solarThanks

@tranquil oceanThank u

[marble solar]

hu hwat now

[cunning copper]

Im just being nice cause youre hawt and I want your number

[cunning copper]

For this suggestion

[cunning copper]

🤔

🧐

🙄

😤

[karmic thorn]

[cunning copper]

🤓

[marble solar]

Oh did you start to read it?

I love that book

[cunning copper]

no im in the process of acquiring it

[pale scarab]

Any good graph theory textbook recommendations? Its a topic I never learned but looks interesting.

[sage python]

I didn't really learn it out of a book but uh

People like Diestel?

[karmic thorn]

I have a weird class on system of ODEs/PDEs with an apparent emphasis on computations. Is there any good book which covers this, and probably does a bit more of theory as well?

[pale scarab]

Do you have lecture notes you liked?

[sage python]

This was my class

http://people.cs.uchicago.edu/~laci/19graphs/

[halcyon hornet]

Mathematical Circles is that fun book with fun problems, right?

[astral cloud]

Is there any good problem solving based introductory calculus book except aops one

[quick hornet]

does spivak count as "problem solving based"

i never understood that buzzword

[crystal lion]

i dont think it necessarily means proof based

[brisk ice]

Sorry to reply late but these basic html/css web pages hit different. Obviously you don't need something fancy for a page dedicated to a class but it is just nice to see something so nice and simple. Reminds me of my first intro to html/css and web page design course

Trends needs brought back

[gray gazelle]

???

[gray gazelle]

Anybody can recommend me a rigorous proof based precalculus book?

[quick hornet]

there are very few books of that sort

the only one i can think of is serge lang's basic mathematics

which doesnt just cover precalc material

(and even "misses" a few concepts from a typical precalc course)

[quaint bramble]

hey, would anybody want to start a small book club for https://www.people.vcu.edu/~rhammack/BookOfProof/ ?

i can send you the PDF of it

we can read one part per week (or go at whichever pace works for you) and then discuss during the weekends

[blazing wyvern]

Sounds like a cool idea, but what time frame would you be available at to discuss it?

[gray gazelle]

@quaint bramble sure

[quaint bramble]

@blazing wyvern @gray gazelle awesome!!! i'm so happy people are interested! i can discuss it either saturday or sunday, do you guys have a time that works for you?

oh should i make a group chat?

[oblique dove]

Whats the best book i can get after reading Basic mathematics by serge lang

i finished it already

@quick hornet i finished it

what would be next?

calculus?

[blazing wyvern]

I am free both days, but I need to set time aside to read a chapter per week or so @quaint bramble

[dense wren]

What do y’all think of Aluffi’s Chapter 0

[quick hornet]

Some people love it, some people hate it

You can search "aluffi" in this server for some long convos and rants

(many of which by myself)

[dense wren]

Not a fan?

[quick hornet]

Even if you're gonna read it, though, get another book for exercises

Not personally although I don't think its philosophy is that bad

[dense wren]

I’m looking for an alternative to Dummit and foote, I’m getting tired of it

[quick hornet]

I just think its writing is very fluffy and it never actually uses the category stuff to its full potential

And its exercises are kinda shallow

Maybe our tastes don't align though, I quite liked D&F lmao

Though it did prattle on at times

[dense wren]

I like DF I’m just trying to switch it up a little, it’s the only algebra book I’ve ever used

[quick hornet]

You can give it a shot at least, as long as you can, uh, find it for free

It might gel with you

[wintry lotus]

Hello!

So, here's the thing. I'm taking a course in Multivariable Calculus

which is more inclined towards theory rather than application, which is great

So for the first few bits of it, we followed Calculus on Manifolds by Spivak

but then, Spivak's Calc. on Manifolds and Munkres' Analysis on Manifolds both don't have sections for Mean Value Theorems/Inequalities and Taylor's Theorem for R^n

Could y'all recommend some readings for that? Thanks

[karmic thorn]

Bumping this up again

[bronze raven]

its exercises are weak imo

doesnt define things too clearly feels handwavy at times

but idk anything that introduces category theory from group perspective other than it

[marble solar]

You could always use Elman's book

Mr. Berg

[dense wren]

Oh forgot about that @marble solar

[halcyon hornet]

Any resources/books for Set Theory?

[karmic thorn]

Read this

[halcyon hornet]

Do I need to have big Math prerequisites for it?

[halcyon hornet]

But this is proofs.

[karmic thorn]

It includes the basic set theory you'll need for now

[halcyon hornet]

https://www.youtube.com/watch?v=tyDKR4FG3Yw

Then so will this?

[karmic thorn]

Likely, yes.

[stray veldt]

😿

[gray gazelle]

Do you have more topics like this?

[halcyon hornet]

Wdym?

[halcyon hornet]

Cool.

[halcyon hornet]

?

[karmic thorn]

Loch wrote that PDF I linked

[gray gazelle]

I mean links to more videos like this on other topics in math.

[halcyon hornet]

Oh.

KhanAcademy and search online.

I prefer books.

[halcyon hornet]

I do not mean to insult him.

I just do not find the need to use it right now.

[karmic thorn]

It's a short and sweet intro to get you ready for some other undergrad-tier introductory courses that don't have prereqs besides a knowledge of proofs.

You can complement it with, say, a discrete math book if you like for more explanations/subject matter.

[halcyon hornet]

I see.

I will read it then.

[stray veldt]

it's fine if you don't want to read it lmao

[halcyon hornet]

Downloaded.

[stray veldt]

or if it's not useful or whatever

[gray gazelle]

I don't like khan academy. They just solve the problems without explaining why it is so.

[stray veldt]

but obviously i like it

[halcyon hornet]

I want to, but do not need to now.

When I want to start with Proofs I guess it will be great to use that.

Anyway I will read it soon.

[halcyon hornet]

Wtf?

Sir, I did full Algebra Basics and Algebra 1 from them and Doing HS Geometry sometimes from them, and I majorly disagree.

[gray gazelle]

I am not sure about HS. When I see the differentiation I don't like the way the solve them. I mean just solving is not enough.
Why it is solved in a particular way should be explained. Otherwise it's no different from any other video on Youtube.

[keen token]

Any book reccomendations to review the basics of math? Neglected studies since I've graduated and I wanna catch up.

[gray gazelle]

Any specific topic?

[keen token]

I completely forgot the basic rules and formulas so if possible like a general review please.

[gray gazelle]

I am reading Tao's Analysis 1. A little difficult, but interesting.

[keen token]

I'll give it a read. Thanks!

[gray gazelle]

May be you can help me discuss the topics once you start it.

[stray veldt]

just do khan academy for highschool math

[keen token]

I'll check that one too. Thanks for pointing it out!

[gray gazelle]

I too want some video series like this but not this. Any recommendation? College level.

[halcyon hornet]

KhanAcademy.

Moves fast too.

[stray veldt]

i think once you are done with highschool math and want to do more, you just read books

or dunno, go to university

[gray gazelle]

Me?

[keen token]

Thanks for the guidance everyone! Hope that I could make up for this wasted 2 years after grad.

[livid ermine]

how long to go thru real&complex analsysis walter rudin?

[misty wyvern]

it took me about 10 minutes to go through the table of contents

[timber mesa]

I haven't actually gone through it but it depends on how much you know about the subject beforehand, whether you're willing to try the exercises and how many, etc. It's regarded as a complicated book by most

[livid ermine]

i would probably be going in the military for a year after this semester, and I thought about bringing that book and working thru it. does that seem reasonable? he says in the preface that the first 7 chapters in baby rudin are good enough to start reading it so i don't think thats an issue

[timber mesa]

pretty reasonable I'd say

[misty wyvern]

That's interesting, you enlisting? Commissioning?

You can easily clear Real and Complex in a year, half if you make it a daily habit.

And you won't need to cover 1/3-1/2 of its chapters anyways to get the central things in it.

But if you do every exercise it's definitely a daily yearlong endeavor.

[livid ermine]

enlisting

[misty wyvern]

Best of luck

[livid ermine]

thanks

[lyric ginkgo]

calc 2 books please

[marble solar]

Spivak's Calculus

[misty wyvern]

Khan Academy

Rudin

There we've completed all the recommendations

[atomic hound]

I need a pdf about matrix equation tricks,anyone?

[velvet briar]

@atomic hound
Matrix cookbook is handy

[gray gazelle]

anybody recommend good book on vector calculus

[candid obsidian]

james stewart's book is legendary

multivariable calculus

it's y favorite math textbook

[misty wyvern]

Hubbard and Hubbard on vector calculus

Or Spivak manifold calculus

are the two good recs

[wintry lotus]

It took me 3 months to go through 8 chapters, so you can extrapolate from there. Including the exercises. That's all I was doing for those 3 months though, like 9 hours a day on average.

[misty wyvern]

Dude, what the fuck

You're hardcore

I've never done all the exercises in a book, much less Rudin

You're well-prepped for an analysis qualifiers, I promise you that

[hearty steppe]

Damn I still only got thru half the exercises in chapter 1 of baby rudin

I am doing exercises in Abbott rn and Schroder

[wintry lotus]

Haha hopefully yeah!

I'm only in junior year now tho, so quite some time before quals

[gray gazelle]

are these recs just math text book recs?

[keen blade]

Why do you guys hate stewart

What do you guys hate about stewart*

[keen blade]

Idk prob all you like as long as the mods don’t find it too much

[halcyon hornet]

Any videos or websites or so recommended for Inverse trigonometric functions?

[tawny crater]

man id definitely recommend giving yourself time to reorient in the army above doing math, especially time for the random social activity (sitting with a can/cig with people at evening). coming from a guy who did 3 years (and also tried to do a semester of math at the same time), i don't recommend being 'that guy' who holes in with a book, you miss out on a lot of the sheer life experience the army can give you. not saying don't do it, but put it in a lower priority than experiencing the army

[marble solar]

Doesn't have inverse function theorem; the proof of the chain rule in the editions I used was a joke

The exercises all require calculators, which prevents students from thinking

[halcyon hornet]

You do?

Oh man.

Then you suggest Thomas?

[keen blade]

You think?

[marble solar]

Thomas' University Calculus is decent

I like Spivak or Apostol

[keen blade]

K

[marble solar]

I don't hate stewart

He created the world's most expensive door stop

[marble solar]

Yeah, I don't see the point in doing this outside of preparing for qualifying exams

[gray gazelle]

isn't each exercise created to cover a point?

[marble solar]

I mean to some extent, but there's no reason to spend months going over the exercises ~ just do like a 1/3-1/2 of them to get the main idea

The goal is to get into research

Not to solve textbook problems

A good reason to do those exercises is if you're in the class or about to have a qualifying exam

[gray gazelle]

Hmm, I didn't check the context of your reply

[marble solar]

Exercises are definitely created w/ a point, but there's no point in spending months making sure you can do every exercise outside of qual prep or you're in the class

I did every exercise in Chapters 1, 2, and 3 in Stein and SHakarchi's Real Analysis

To prepare for my MS qualifying exam

I got a perfect score on that test

(But I bombed the Topology one)

[gray gazelle]

Months just on exercises 😱

[marble solar]

It was very tragic Manan

Because my topology prof, I took him for like 4 semesters of topology

I knew how he asked questions, how to frame the answers

[karmic thorn]

Was it point-set topology?

[marble solar]

And then he wasn't on the committee

Yeah

[karmic thorn]

Then what went off?

[marble solar]

He wasn't on the committee, so the people asking the questions

Liked asking a different type of question

By bombing, I mean I got a B

instead of an A

[karmic thorn]

Aaahhh

[marble solar]

@karmic thorn https://homeweb.csulb.edu/~wmurray/comps/Topology20s.pdf

This is the test

[karmic thorn]

That's good enough I guess

This is Munkres chapters 2-5, I guess?

Looks

Fairly intimidating

[marble solar]

So for 4b) I said that countable cross countable is countable

So I just took a product of the rationals

Which is...uncountable

[marble solar]

Yeah, it was a 2 year MS program; and the second semester courses were always advanced topics

So first semester is point-set

I had taken knots, 3 manifolds, and did some basic algebraic topology

[karmic thorn]

Ouch

[marble solar]

That's what cost me the A

[karmic thorn]

Pain

[marble solar]

I would have gotten a "MS with distinction"

[gray gazelle]

I have a book "Elements of the Theory of Functions and Functional Analysis".
What should I read before it if my qualification is Engineering in Electronics?

[marble solar]

if I had gotten an A

[karmic thorn]

You did well though, this was more of can't-recall-set-theory loss

[karmic thorn]

Perhaps an introductory book on real analysis and linear algebra, if you aren't familiar with these already.

[marble solar]

All my friends got the distinction, they did algebra & topology. I was the only one that took the real exam, and I got a perfect score. I think I was the first person to do that in a very long time

[karmic thorn]

That's fantastic

So wait

Why didn't you get a distinction then?

[marble solar]

https://homeweb.csulb.edu/~wmurray/comps/Real20s.pdf

The requirement for distinction was just you need A's on both comprehensive exams

[gray gazelle]

Please suggest a book.
I would like simple language now.

[marble solar]

The real exam was honestly pretty easy

[karmic thorn]

Aaah

[karmic thorn]

Understanding Analysis by Abbott seems to be well-praised, for linear algebra maybe something like Friedberg/Insel/Spence.

[distant basin]

Any videos, websites or books or so recommended for Multilinear algebra?

[marble solar]

Ted Shifrin multivariable stuff?

Or are you doing determinant, and differential geometry stuff

[distant basin]

I prefer something that is more focused on the part of tensioners

[gray gazelle]

I need a video series too in real analysis.
Link?

Ordinary And Partial Differential Equations by M.D. Raisinghania.
Should I read?

Also a book on inequalities.

[karmic thorn]

What is your objective?

[solemn rover]

there's a book by Greub called "Multilinear algebra" but that stuff is extremely dry, I recommend using it primarily as a reference when you need a precise definition for something. just learn it in context, in a differential geometry book or something

[distant basin]

Okey, thanks for the recommendation. I will search the book to at least have references

u.u

[gray gazelle]

Nothing specific other than covering many topics. I like many topics, and I don't know what to pick.
Am I going to use those knowledge near future? Mostly no.

[karmic thorn]

Probably explore a variety of topics, see what you like and build up the prereqs to get there.

[gray gazelle]

A topic I didn't like is Topology. How do you judge my math?

[karmic thorn]

[gray gazelle]

I am a programmer by profession. Any nearest field in math?

[karmic thorn]

1. It takes a lot of effort and time to get a hang of mathematical topics.
2. Your preferences don't reflect your ability to learn math, but might say something about your preparation/approach to learning them.

[karmic thorn]

You could probably look into topics in theoretical computer science?

[gray gazelle]

https://www.youtube.com/watch?v=842rgQP_OgI
Any comment on this series?

[marble solar]

UCLA math 131A has a good YouTube series

[sharp latch]

You might like graph theory as well

[storm sleet]

I agree with Manan, but there are a lot of interesting CS adjacent fields that are "somewhat" non-standard. Category theory is one that comes to mind, though its actual level of application isn't necessarily the deepest at times. Bartosz Milewski has a good blog series about some intro stuff, but people have raise issues with its level of rigor in the past. If you enjoy programming language related content, type theory may be up your alley too, but thats generally p foundations stuff. Graph theory is also really applicable, as are I'd say some basic abstract algebra. You'd see lots of applications of things like(semi-)groups and monoids to various concepts in OOP (and hopefully, functional programming).

Source: I'm a CS/Math double major focusing on algebra from a math standpoint, and PL theory/crypto from a CS standpoint

[analog lava]

what about foundational stuff

logic stuff

cs interlaps?

[hearty steppe]

@wintry lotus tbh I'm really having a hard time with how the exercise problems are worded in Baby Rudin. I like the chapters tho like going thru the theorems and stuff is fine. I prefer Abbott and Schroder so far for problem sets tho. Perhaps baby rudin problems are best suited for a second look at analysis

[gray gazelle]

Are you doing every exercise?

[hearty steppe]

For anyone seriously studying math to pursue a PhD or just like to be a career mathematician, I would urge anyone to do every exercise in baby rudin up to chapter 8 in some point in their math career

i just think a lot of insight is gained in completing these exercises on top of reading thru the chapters

i think it is an unreasonable ordeal to expect to do such a task quickly though

kinda like overtime complete problem sets in rudin sort of thing

[gray gazelle]

I am also doing abbott and thinking about 1-7 of rudin during next summer

Are you doing every exercise in abbott tho?

[hearty steppe]

yea take your time. The good thing if you complete abbott up to 1.5 exercises, you should be able to do some of the chapter 1 rudin exercises at that point

its just interesting how much different reading the chapter is compared to doing the exercises in Baby Rudin

[analog lava]

whats the point

not everyone seriously stuyding math has to care about elementary real analysis this much

obviously its fundamental and basic but lilke

no1 cares

this much

its actually just cuz its so basic and elementary it wouldnt be of that importance as like

doing all problems in harthstrone for someone in AG

u get me

[timber mesa]

yeah the details in elementary analysis are boring and you don't really care much beyond the one course where you prove that stuff

[analog lava]

yea boring ass stuff anyways

even someone as bad as i can do it

[timber mesa]

I'd say doing a handful of exercises from Baby Rudin or a similar book is more than enough; to prepare for a math PhD your time is better spent in measure theory/real/complex analysis and algebra since that's what you'll be asked in quals and such -- and for good reason since these are the basic tools in most mathematicians' research, along with basic point-set topology

saying that as someone in the "preparing" phase and not an actual grad student though lol

[gray gazelle]

book on dealing with gender dysphoria?

[dapper root]

This isn’t a good place to ask for that sort of recommendation

[crystal lion]

#book-recommendations message

[gray gazelle]

yea

maybe someone happened to know one here

[hearty steppe]

can you DM me more details about this

[wintry lotus]

Okay just to clarify I was talking about Big Rudin, not Baby Rudin. Baby Rudin is relatively easier, of course.

[rotund cove]

I am trying to get good at pure Functional Programming, but have a hard time understanding mathematical functions. Does anyone have a really good book/video/course recommendation on this topic? And I heard lambda calculus is also good so suggestions is welcome there too.

[velvet briar]

"Mathematical functions" is super vague. Is there a specific application you find you're hitting your head on?

[rotund cove]

I guess its a big topic, but I need to understand how to write functions and solve problems. I dont have a specific case question, but f(g(x), or how to write a function that gives a specific output and so on

just in general how to read and understand functions

and all the different kind of functions

and write them myself

[kindred bloom]

Any recommendation for category theory for total newbies for me?

I know programming, though

[livid ermine]

https://www.youtube.com/playlist?list=PLlGXNwjYhXYxKVa67r0pKuYufECy713bv

this is quite a good playlist for the basic concepts

otherwise maybe the maclane book?@kindred bloom

[gray gazelle]

this possibly https://www.youtube.com/watch?v=I8LbkfSSR58&list=PLbgaMIhjbmEnaH_LTkxLI7FMa2HsnawM_

[kindred bloom]

I preferred written material

[livid ermine]

https://math.mit.edu/~dspivak/CT4S.pdf

this is good if maclane is too much

[kindred bloom]

I'm not a native English speaker, so listening english video might be difficult to me

[gray gazelle]

Do you prefer to read in english or your first language?

[kindred bloom]

For reading, I can do that in English

For some reason, I associate materials in native language (Indonesian for me) as inferior

[alpine wedge]

Lah ketemu orang indo 🤣

[harsh karma]

Hey has anyone read Alex adventure in numberland, what is it about?

[tribal elbow]

any good sources for surface level of understanding about hilbert spaces ?

[karmic thorn]

Does Apostol's Mathematical Analysis have good problems? How do they compare to something like PMA?

[keen tree]

Anyone know good papers about parabolas, one that really delves into why they are the way they are?

[sharp lotus]

I want to learn vedic maths, any good resources you guys know of?

[karmic thorn]

[gray gazelle]

It's just some tricks, I don't think it helps in understanding mathematics, if that is what you are trying to achieve.
I have seen many who uses mind-abaccus and do fast calculations.
But none of them ever got interested in math later.
Just my opinion from observations.

[zealous jetty]

Any good books on stochastic diff eq

[marble solar]

Evans has a book

I've heard it's halfway decent

[unique cove]

i agree

[misty wyvern]

Any good books on stochastic diff eq

Oksendal has an SDEs and SPDEs book, they're both excellent

not fully rigorous but any gap in rigor is in foundations of (semi)martingales and BM and you can find them in hard prob texts

[gray gazelle]

Book for probability? (non measure theoretic)

[misty wyvern]

Grimmet and Stirzaker

[gray gazelle]

That one has measure?

[misty wyvern]

does it

i never noticed looking at it

you dont need measure to read it and you wont learn measure after reading it

i think thats enough for me to say "no measure theory"

[gray gazelle]

I mean, its on the fifth page

After I want to learn measure but I don't think I could handle this right now

[misty wyvern]

huh

well i promise that book wont teach you measure theory but i suppose they use the term measure

its actually a very practical and broad book, i like it a lot

[sage python]

Durrett is supposed to be good

[marble solar]

that's measure theory

Heavy

[sage python]

The parts I read were clean

And it does the measure from the ground up

Rather than assume it as background

In case that was your worry

[marble solar]

Just read chapter 5 of stein and shakarchi's functional

[sage python]

If you don't want a measure theoretic treatment at all

My undergrad class used one by Pitman. People also like Ross

[misty wyvern]

ross bad

he's basically an actuary

god i hate actuaries

even worse than logicians

[marble solar]

Logicians scare me

I don't even wanna talk about cardinality of anything

[solemn rover]

"How many oranges did you want me to get at the store babe"

"Ugh! Don't bring up these cardinals in the house! Not in front of the children"

Mathematicians study abstract structure, shape and quantity, and the people who study quantity are on thin ice.

[forest sleet]

Is Karatzas and Shreve a good book for stochastic calculus?

[misty wyvern]

very

its also very hard

the book formatting is part of it being hard, its easy for your eyes to lose track in a paragraph and oh boy do they love walls of symbols

material coverage is basically great and that book will be a reference for the rest of your career should you wish it

[forest sleet]

Is reading something like Klebaner first/concurrently probably a good idea then?

[misty wyvern]

its good to read in general, but the only way to prep for karatzas and shreve is to get good at rigorous prob theory

so just try to read it, and if youre missing foundations go back and fill them in

dont skip steps

[forest sleet]

that sounds good, thanks

[gray gazelle]

Can someone suggest me some youtube links for interesting math topics?

[modern tartan]

.

[gray gazelle]

https://youtube.com/playlist?list=PLPH7f_7ZlzxTi6kS4vCmv4ZKm9u8g5yic

[gray gazelle]

can you recommend some books
for maths

[candid obsidian]

what level maths

[gray gazelle]

9th grade

[gray gazelle]

Do you learn calculus?

[gray gazelle]

ummm

nope

from 10th

not

now

right now

the main is trignometry

[crystal lion]

teafortwo has to be paying people to ask for probability recs

there’s no way there’s this many probability theorists

[tawny crater]

I got a "regular diff. equations for chemists" next semester
the topics are: (rough translation) "first order diff. equations, superbiliaty? equations and exact equations, direct methods for solving diff equations, bernouli equations, euler approx., population growth, second order diff. equations, equations with constant coefficients, answer space, wronskian, non homogenous equations, parameter variations, systems of two equations of first order with constant coefficients"
the syllabus book is Elementary differential equations by W.E boyce, which seems like a complete door-stopper (672 pages). I am currently working through apostol's calculus for the multivar calc stuff and skipping all the diff. equations stuff he has. I want a book that will let me learn diff. equations on a more theoretical level and not the level that will be taught in the course - which will be bare bones practical examples. Will apostol suffice for those concepts? Do I need another book?

[sage python]

Spivak doesn't do differential equations

The book I'm aware of that seems good is by Perko

[tawny crater]

oh he has a lot of small titles about application for diff. equations which I constantly skip

like line integrals bla bla bla then four pages about diff equations

[sage python]

Yeah those little bits won't cut it if you're talking about what I think you are

Wait you're talking calc on manifolds?

I didn't know that had anything on the stuff lol

[tawny crater]

no, just very simple diff equations. Our math level is pretty low, and im gonna guess that the course will not into multivariable differential equations, but im gonna need it for quantom mechanics anyhow in 2 semesters so ill like to do the work

[sage python]

Point being yeah Perko seems good, also Teschl which is free

[tawny crater]

im not sure what is calc on manifolds actually

[sage python]

https://www.mat.univie.ac.at/~gerald/ftp/book-ode/

Spivak Calculus on Manifolds

[tawny crater]

no, spivak's normal calculus

[sage python]

It's the one with the calc 3 material

So that's why I got confused

Eg I didn't think ordinary Spivak had the phrase line integral anywhere

[tawny crater]

there are two calculus spivak books
one is just one variable calculus the other is half linear algebra half multivar calc

the multivar part is generalization of the differential into line integrals into multiple integrals into surface integrals

[sage python]

Uh, can you link the latter?

You might be thinking Apostol rather than Spivak

[tawny crater]

yes apostol

oops

[sage python]

Okay that makes a looooot more sense

I was like

Spivak maybe has 3 pages total on differential equations

And doesn't do line integrals

[tawny crater]

so uh will apostol be enough

[gray gazelle]

Is there any point in reading books like
'How to Solve it - A New Aspect of Mathematical Method' ?

[tranquil ocean]

Yes I enjoyed it

But I enjoyed it more as way to see how to teach students how to reason about problems

[sharp latch]

It’s a good read that definitely shifts your perspective. I think it would have helped me more in high school or middle school though because most experience comes from doing a lot of problems

[gray gazelle]

I felt the book is very boring. May be I don't understand it.

Any video supplement to watch along with while reading the Understanding Analysis by Abbot?
I am going to do self study during my spare time.

[subtle bobcat]

Any good book for stereometry and tetrahedrals?

[sharp latch]

Based video about limit points https://youtu.be/9D-ZlJUnNZM

[gray gazelle]

Good books for class 9 maths solving

?

[wind junco]

Any good?

[sharp latch]

If you want more about perelman specifically you should read Perfect Rigor

[dense wren]

Opinions on ravi vakil’s algebraic geometry notes for self study?

http://math.stanford.edu/~vakil/216blog/FOAGnov1817public.pdf

[dapper root]

Fucking suck

[tranquil ocean]

good

[dapper root]

Jk idk

I don’t like them

There’s a lot of stuff you have to do

Which is true for like all AG books

[tranquil ocean]

Vakil has a nice set of lectures to accompany his notes too https://www.youtube.com/channel/UCy3u23mZE4TyW88yr6JLx9A

[dapper root]

But it’s annoying when using as a reference

Maybe if you use it as a textbook and go in order it’ll be better

There’s hardly any complete proof

[dense wren]

I’m just talking for someone with little to no background in algebraic geo, going through it page by page

[tranquil ocean]

I think its fine

[dense wren]

Dope

[sage python]

Yeah I agree with Chmonkey's assessment tbh

Feels like Vakil's a book you gotta jump into full force full commitment and do all the problems

Compared to e.g. Liu

[gray gazelle]

What is a good, first course, non-rigorous linear algebra textbook? Similar to Calculus: Early Transcendentals by Stewart but for linear algebra

[karmic thorn]

David Lay's Linear Algebra and its Application, or Strang's Introduction to Linear Algebra

[gray gazelle]

Which would u personally choose between those two? @karmic thorn

[karmic thorn]

Strang seems to be recommended a lot because of his YouTube playlist (the book is based on that MIT OCW course of his).

[gray gazelle]

mit ocw is tough

[karmic thorn]

I have a copy of Lay and it seems beginner friendly. You can skim through digital versions of both and see what works for you.

[gray gazelle]

Okay thx

[livid ermine]

Where to buy used math books?

[gray gazelle]

ebay

[atomic hound]

Guys

[halcyon hornet]

Yes.

[atomic hound]

Can someone send me a good pdf with tearch to find limits using delta epsilon definition?

I'll be greatfull!

[limpid stone]

Understanding analysis by Abbott is a very good introductory analysis book

Get it free on pdfdrive or zlibrary

[gray gazelle]

book recommendations to self study calc 4 (whatever comes after multivariable calc)?

[karmic thorn]

Calculus 4 is not standard terminology; learning linear algebra/differential equations might be an option I guess?

Or real analysis even, if you're into pure maths.

[gray gazelle]

thank you, I wasn't sure what to label calc 4 since that's what they call it at my uni tho I'm not taking their course.
What are recommendations for linear algebra (not intro) and dif eq?

[karmic thorn]

By introductory LA did you mean matrix-bashing? If so, then Friedberg/Insel/Spence have a more abstract LA book; you can try Axler's LADR as well. For differential equations the consensus is "there are no good ODE books"-I personally like a set of notes by Nagy (Google "nagy ode notes"). You could also look into Henner's book.

[gray gazelle]

thank you Chmonkey, gonna look for those at my uni library. I appreciate the advice 🙏

[dapper root]

Tfw people are thanking “Chmonkey” and it’s not me

It keeps trolling me

It’s funny tho

[karmic thorn]

I only read chapter 1 but it was nice. I'm now an Axler simp. 😌

[sharp latch]

Anti-determinant

[limpid blade]

Someone can help me? I need a book to start to my math study

[karmic thorn]

What are you looking to study, and what level of education are you at?

[gray gazelle]

Is Modern Mathematics good book to read?

[sage python]

Shameful

[karmic thorn]

Does that actually affect the treatment much?

Like I'm at chapter 3 now, and so far I've really liked both the presentation and the problems.

[dapper root]

The determinant is really really useful tho

I won’t comment on the philosophy of avoiding it or not

But to understand other ppl’s proofs you’ll need to understand the determinant

[karmic thorn]

Hmmmm

Perhaps I'll try to do the chapter on determinants sooner, then

[dapper root]

I mean you can take ur time

You have lots of time

Do what you enjoy, but at some point jjsy pick up some understanding of them

[karmic thorn]

Alright

[misty wyvern]

I call Real Analysis "Calculus 6" and you should too

[sage python]

It's not about when you do dets

Problem is he does characteristic/minimal polynomials in a dumb way

[misty wyvern]

Ah you must mean Axler

[gray gazelle]

does anyone have anything more typical (in my eyes i say that after reading Analysis by Carothers, or Manifolds by Spivak) on Computation Theory? I'm using Maruoka currently and despite the title it has a lot of filler and kinda messy definitions/notation

[slim peak]

I agreed with your last assertion until I discovered Viorel Barbu's book, Differential Equations

[misty wyvern]

You don't like Arnol'd's ODEs?

[slim peak]

I know it exists, and just opened it without really reading, so I can't really say about it

[karmic thorn]

I'll check it out as well

[slim peak]

There is also a good French book, the Author is Florian Berthelin also called Équations Différentielles, it deals sometimes with dynamical systems

Very good one with A LOT of deep exercises

[gray gazelle]

What's a good book to pick up on and refresh knowledge from Markov processes & Markov chains?
Applied for Finance

I have good mathematical background

[misty wyvern]

I like Bremaud's Markov chains book

No fin applications though.

Maybe look at Barbu and Zhu for applications, though it's less about Markov theory.

[gray gazelle]

I think I'll check this one, thanks

[sage python]

The books I hear good things about for ODEs are Perko and Teschl

Both are called something like "Differential Equations and Dynamical Systems"

[severe condor]

there exists a pdf with all special produtcs ever,or atleast a bunch of them?

[grave tulip]

hello guys

any good book about financial mathematics

[solemn rover]

Handbook of Modeling High-Frequency Data in Finance, Wiley

[oak pecan]

depends on your background and interests. this being a math server, Shreve (Vol 2). the kind of standard intro reference is Hull, but it's rather nontechnical.

[late plinth]

Anyone knows any Paul’s online math notes esque sources for num anal

[dapper root]

Hehehehe numb anal

[karmic thorn]

I'm not familiar with a similar source, but Burden's Numerical Analysis seems like a nice book, one that I plan to use this sem.

[gray gazelle]

Hi guys, i'm struggling with my book about Discrete Math, any good book?

[late plinth]

Rosen is solid

[gray gazelle]

i will check, thank you very much

[gray gazelle]

Concrete Mathematics by Knuth is also a classic

[marble karma]

No bullshit introduction to elementary probability

Any recommendations?

[uncut zealot]

Discrete Math with Ducks is fun.

[gray gazelle]

Ducks

[brazen portal]

Hi

I wanted to read a book on mathematics which is focused on visualizations and is fun to read

any recommendations?

[cursive orbit]

Needham

[karmic thorn]

Carter's Visual Group Theory as well, I guess.

[wise umbra]

If you like complex analysis there's the book Visual Complex Analysis : http://usf.usfca.edu/vca/

[brazen portal]

ah yes, complex analysis, thanks

[sudden kindle]

When you need ham

[old storm]

Yo Alphyte

[old storm]

Congratulations you’re 17 now

[cursive orbit]

thanks

[marble karma]

Guys 🤧

[prime oak]

what do you guys think of tao for RA

[gray gazelle]

@karmic thorn

[karmic thorn]

@prime oak Good for getting intuitive feeling for the basics, deficient on problems, especially computational. Tao often chooses non-standard definitions to formally "build" things up eventually or show that certain constructions are equivalent but that can be sometimes painful, insightful at other times. Overall, I'd say you can squeeze the most out of it if you can find some real analysis problem sets.

A better alternative could be Abbott's Understanding Analysis.

[prime oak]

i see

gotcha, ty
ill also check out the other book you mentioned

[remote ginkgo]

or rudin

[prime oak]

i know rudin exists but
rudin is rudin

[remote ginkgo]

fwiw i could not read abbott

[prisma snow]

Manan is Tao-pilled, but Tao is actually bad

Read any other analysis book

[grave tulip]

thanks

[grave tulip]

thanks

[marble karma]

@karmic thorn are u in cmi?

[karmic thorn]

No

[marble karma]

Aight

[hollow spoke]

Can someone please suggest me some research paper ( for reading purpose) in abstrect algebra ,( i am a beginner)

Thankyou.

[marble karma]

Sorry if I made u recall any bad memories

[quick hornet]

if youre a beginner, chances are that no research paper published in the last century will be approachable for you.

maybe an expository paper, though

[karmic thorn]

You should actually check out Gallian's Contemporary Abstract Algebra. Gallian cites a list of interesting articles (mostly about applications of the stuff covered in the chapter to something interesting) and are probably much more accessible.

[karmic thorn]

No it's alright haha

[gray gazelle]

umm can i get a book recommendation for learning set theory

[karmic thorn]

At what level?

[gray gazelle]

like beginner level

obviously i dont want my brain to crash due to advanced set theory

[marble karma]

All them homies recommend Paul halmos

[gray gazelle]

ohh thanks

[karmic thorn]

You could look into Munkres' Topology, chapter 1.

[marble karma]

Yes!!!

[karmic thorn]

It does pretty much all the set theory that you'd need for now.

[gray gazelle]

ohh great

thanks for the recommendations

[marble karma]

Manan are you in isi?

[gray gazelle]

wha

isi

what

[marble karma]

Indian statistical institute

[gray gazelle]

ohh

i was thinking about the other isi

lol

the pakistani one

[marble karma]

It's one of the best place in india to study math

[gray gazelle]

great there is another institute in chennai right

[marble karma]

Yes cmi

[gray gazelle]

you are spontaneous dude

come to chill

[karmic thorn]

No, I'm at Jamia Millia Islamia.

[gray gazelle]

what

[marble karma]

I am at CIT

[gray gazelle]

CITY OR CIT

[marble karma]

Chapri Institute of technology.

[karmic thorn]

I see

[marble karma]

(cit)

[karmic thorn]

Anyway this channel is not appropriate for this discussion 😛

[marble karma]

You're correct

[gray gazelle]

WELL PEOPLE ARE DISCUSSING

MATHS IN CHILL

SO I THINK IT IS NOT THAT BIG OF A DEAL

[karmic thorn]

It's admittedly the best chill could be

[gray gazelle]

I MEAN THEN DISCUSSIONS WOULD LOOSE THEIR PROPERTIES

AND I WOULDN'T ENTIRELY DISAGREE WITH YOU

[quick hornet]

speaking of chill

cool it with the caps

[gray gazelle]

LET ME HAVE A SNIKERS

[quick hornet]

anyway, theres nothing that disallows math in #chill

[gray gazelle]

yes i am fine now

[gray gazelle]

ik i was just joking

dont take it too seriously

why u bully me

[atomic hound]

He need to put order in this server,pal.

[gray gazelle]

why u bulli me too , that too about something i did when i was 3 months old kid

[atomic hound]

Well, we need to show discipline and respect in other "people houses"

Dont worry,pal

[gray gazelle]

pal, you forgot something, discipline is not something you show, it is something that should be followed, not for the sake of being polite, but for being human, it shall be a property of human nature rather than being some thing that we learned in acting classes.

yo are you trying to help me

if yes then thanks

if no then also thanks

i will try what you say

[novel solar]

What did I say

[gray gazelle]

A good first introduction to group theory better if it has good difficult problems(competition style)

you said the above statement, particularly this

[novel solar]

And how did it helped you...?

[gray gazelle]

i will try the book

so i can learn something

[novel solar]

I think I asked for a book recommendation ?

[gray gazelle]

what

[novel solar]

Please recommend A good first introduction to group theory better if it has good difficult problems(competition style)?

Now it's better

[gray gazelle]

i thought it was a recommendation lol

my brain is going high without any kind of stuff

[novel solar]

Lol

[sage python]

Buddy

You gotta tone it down multiple notches lmfao

[lapis sundial]

Any recommendations for books that treat logic and sets in a nice way? I see logic books often begin with set theory but it'd be nice to see something that talks a bit more about how they are related, such as how we can view ZFC as being 'built on' FOL etc

In what way?

Sure, yeah

I guess I just felt quite uncomfortable as I've just been reading a book recommended for logic and it seems to be mostly just recasting notions in terms of set theory, which felt a bit odd as they hadn't really formalised anything about sets

It's fun but I can't help but feel slightly uncomfortable with that

Yeah, that's sort of what I assumed

That was essentially the issue I had :p

I was thinking maybe it's best (at least for me) to use a fairly naive view of sets for the fundamental logic (as a collection of objects) and then formalise sets etc using that logic , but perhaps that's wrong :p

I'm new to formalising logic and more used to sets aha

:)

Well cheers thanks

Excited for the courses we have on foundations in third year hehe

Well, er,

1.1 Set theory

1.2 Logic

Or probably the other way round, but either way yeah quite a few lectures on each

Provided I have enough time :p

I do, one second

https://courses-archive.maths.ox.ac.uk/node/48789 for logic

https://courses-archive.maths.ox.ac.uk/node/48811 sets

You know them? heh

Well i felt slightly surprised you knew of them but i guess this is kinda your specialism aha

Epic

Good to know cheers

:)

[misty wyvern]

Ultra calls other mathematicians by their surnames but not Knight

very suggestive

[lapis sundial]

Was gonna judge the name spelling but turns out it's actually Jonathan

[sudden kindle]

Johnathan Doe Smith

[ruby nacelle]

Any recommendations on introductory level combinatorics books?

[dusty grail]

does anyone have any opinions about either topology by klaus janich or topology by george mcarty as a first book on topology

[soft drift]

I don't like that my geometry class is nonrigorous

[gray gazelle]

@soft driftwhat level of geometry

[soft drift]

ninth grade

[balmy nebula]

Are there any reference books that would help in understanding coordinate geometry (University level)?

[gray gazelle]

Problems and Worked Solutions in Vector Analysis by Lewis Richard Shorter.

if anybody has this book please please please send

[livid ermine]

do anyone here have any experience with the book "basic abstract algebra" by bhattacharya?

[gray gazelle]

Yeah, it's good

Lot's of examples with actual substance

[livid ermine]

thanks

[frosty girder]

dont ask for books here

or anywhere on discord for that matter

[soft drift]

why? it's against the TOS to do anything related to transactions on discord?

[quick hornet]

its against tos to ask for pirated copies

"send" gives off the vibe of asking for a pdf

but not 100% clear

[gray gazelle]

Recommendation for abstract algebra?
Prefer simple language to get started.
Have HS + calculus,matrix knowledge.

[gray gazelle]

You could try starting with this one @gray gazelle

[gray gazelle]

Thanks, so it seems an interesting topics.

Is asking about Liebgen against this server rules?

[frosty girder]

yes but people do it anyways

@gray gazelle this will be of use to u

[gray gazelle]

Thanks, can I pin that? How do I do it?

[frosty girder]

its already pinned

check the pins for this channel

[atomic hound]

Hello Guys, i would like a book on everything about\related functions. bottom to the top.there is a book like that?

[wooden sparrow]

Real analysis? Don't listen to me. That's not a good answer

[sharp latch]

Functions are really a concept used everywhere in math. Could you be more explicit with what you are looking for?

[sleek python]

Are you in hs ?

[atomic hound]

Whag is "hs"?

[atomic hound]

Ok, like i wanna understand functions enough well enough to be really good with calculus. Something close to a "function master"...

[rough hawk]

Is this a good book to read after single variable calculus (AP Calc BC)?

https://www.worldofbooks.com/en-us/books/francis-j-flanigan/calculus-two/9780387973883?msclkid=d47b166acfc015c16fdb772d92b6fd33&utm_source=bing&utm_medium=cpc&utm_campaign=S2 - Books - 30.00%2B - Bing&utm_term=4574999166464198&utm_content=30.00%2B#GOR008252433

[sharp latch]

I think what you might be interested in is Trigonometry/pre-calc books. However most people here just defer to khan academy for things like that because that will all get picked up in school most of the time

I am unaware of any books for what you want specifically, but you should be very comfortable with continuous functions after a course in calculus

[rough hawk]

is calculus two by francis j flanigan a good book?

[livid ermine]

A lot of the concepts used to understand and think about functions you will learn in calculus / analysis and other later branches of math. In fact, all maths tend to study functions in one way or another. If I were you I'd suggest skimming a pre-calc book, and then, if you find the pre-calc stuff easy, start working on other areas of math that interest you, probably calculus is the next logical step.

although elementary number theory, combinatorics or even group theory are pretty cool as well

[sleek python]

high school 👀

Like, do you want a book to go through high school calculus or a university level intro book to analysis?

[royal marten]

Any good books for laws of indices and algebra

[cursive orbit]

what on earth are "laws of indices"

[sharp latch]

I think it’s exponent rules

For that I would say khan academy

[atomic hound]

No , i am in college.

[atomic hound]

High school calculus woulbe better,then a intro analysis.

[atomic hound]

Ok, thank you very much for you answer.

[misty wyvern]

Just learn calculus using Google

[solemn rover]

i learned calculus from Prager University

[vernal kraken]

i learned calculus from Trump University

[broken meadow]

i did not learn calculus

[dapper root]

Based?

[broken meadow]

yes

[gray gazelle]

[wooden sparrow]

Calculus learned metal

[gray gazelle]

can someone tell me a good book that will help me learn highschool maths and get good at it?

[cursive orbit]

Khanacademy