book-recommendations

[sour patio]

lmaooo

[umbral wagon]

I learned calculus that way. And now I'm in grad school

He's a great lecturer

[sour patio]

lol i was watching him while you were suggesting him

[umbral wagon]

Yeah I saw lol

I watched them when they came out, but I promise calculus hasn't changed since:P

[thick python]

The problem with mochizuki is that he spent like 10 years off by himself writing without talking to anyone else, and so when his results came out, the rest of the mathematical community was about 10 years behind. Normally if you're working on something new, you'll be talking with other people so that there's at least a few other people who are relatively familiar, and more people can know the basics. But that didn't happen with Mochizuki, which is why it's so hard to tell if his proof is valid

[analog pollen]

If I were you I would look up a pdf of some calc textbook and make some exercises, alongside with these lectures

[sour patio]

what textbook you would suggest

[analog pollen]

Idk prob like Stewart calculus

Are areas between curves and volumes calc 2?

Or is that still calc 1

[sour patio]

i learned them in calc 1 iiirc

[analog pollen]

Oh then Stewart calculus chapter 7-11

That’s all calc 2

It has a lot of exercises

[sour patio]

k ty

[warm glen]

does lee's smooth manifolds cover differential geometry of curves/surfaces or do i need to learn that elsewhere?

or do i not need dg of curves at all?

[quick hornet]

this... isnt really true, he was certainly in communication with other mathematicians at the time (i mean, he's still a legendary name in anabelian geometry even if this kind of tarnishes his legacy)

mochizuki is just historically not very good at communication

like even his accepted papers are incredibly hard to read

maybe its a translation thing, but idk - one can't help get the impression from his behaviour that he's just arrogant and doesn't pay any concern to making his work actually comprehensible

this is why scholze-stix sought out clarification on a few points from mochizuki at first

but they felt their mini-"conference" with mochizuki didnt actually clear up their confusions

and instead solidified their key concerns

their current line isn't that they don't understand the proof, but that it can't possibly work

ie mochizuki makes a claim to which there exists an immediate counterexample and this falsehood is essential to the argument

mochizuki & co reacted to this allegation with insults rather than a proper response

and that's where we're at

if you believe scholze-stix (which you probably should), mochizuki is just being really stubborn about an approach that cant possibly work

[storm harness]

Wanna learn homological algebra. I read 10 pages of Weibel but heard that it has a lot of typos. Is it good, are there any better alternatives?

[gusty smelt]

lang has a good section on it, i read a bit a while back

[storm harness]

Looks nice but it doesn't seem to define Tor and Ext functors and I'd like to see those too

[livid ermine]

what are the prerequisites for homological algebra stuff from a book like rotman or weibel?

[sage python]

Ordinary algebra

In particular ring/module theory

[gray gazelle]

anyone have good books for people trying to refresh their algebra?

bought a book called 'basic algebra' by nathan jacobson which I didn't realise was actually about linear algebra

[livid ermine]

1. Monoids and Groups
2. Rings
3. Modules over Pids
4. Galois Theory
5. Real Polynomial Equations
6. Metric Spaces and the classical groups
7. Algebras over a field
8. Lattices and Boolean Algebra

Is this the book you have?

[gray gazelle]

yes

and I am in 10th grade, sadly I'm no terence tao so linear algebra is bit above my level of expertise

[livid ermine]

This is called abstract algebra, not linear algebra.

[gray gazelle]

oh

[livid ermine]

When people here talk about "algebra" this is more what they will think of. Maybe you will get clearer answers if you ask for a good HS algebra text.

Sorry I can't help you with that tho.

[gray gazelle]

damn thanks for trying

so does anyone have any good hs algebra books?

[marble gulch]

Algebra for the practical man

[cursive orbit]

khanacademy

[wicked lagoon]

got any good books about the various algebraic properties?

[marble gulch]

Any book on algebra will discuss properties.

[gray gazelle]

Bernard-Child Higher Algebra (Classical) might interest you

that sounds go

good

thanks

[analog pollen]

For everything below calc Khan academy is fine

[gray gazelle]

ight thanks for the help!

[west tartan]

a complete book on differential equations for undergraduate students?

[marble gulch]

I don't think you'll find anything of a "complete" nature for undergrads.

Tenenbaum is OK for ODEs.

[gray gazelle]

Algebra for the.... High school man?

[marble gulch]

That's basically what it is.

I believe Richard Feynmann used it in high school.

[slim peak]

Depends if you just want asbtract theory for Differential Equations or not

if theory does not bother you

Viorel Barbu, Differential Equations is quite technical but good

[marble gulch]

Is Arnold for undergrads?

[slim peak]

Absolutely not

[willow pecan]

lol

[marble gulch]

Maybe for french undergrads...

Anyone read any of Hörmander's volumes on partial differential operators?

[willow pecan]

Good for linear PDE theory

Quite dense though

[marble gulch]

Yeah...

[willow pecan]

If you need the linear theory, then I guess they're a good reference

But linear stuff is already well documented enough

[stark creek]

any opinions on serge langs linear algebra book

[glad prairie]

Hormander contained a proof of a lemma I needed and I literally could not find the fucking lemma because the book was so dense

Like I knew it was within some 30 page span

Because the definitions were introduced at the start and the lemma was used at the end of the span

Eventually I found it and the proof was unreadable

So there's my opinion on Hormander for you.

[willow pecan]

I also remember having this experience

We might even have been looking for the same lemma

[sage kelp]

Some introductory lecture notes or book for topology?

[willow pecan]

Munkres

[gray gazelle]

Munk munk munk

[smoky surge]

has anyone here read bondy's graph theory

[solemn rover]

i can't hear "Hormander" without mentally screaming "HORMANDER" the same way Charmander cries "CHARMANDER"

[tame sluice]

Could Anyone would suggest me a PDF on "Reimann Curvature", prefer in Space-time Metric!

[high pine]

Advanced Textbooks in Mathematics
The Wigner Transform
https://doi.org/10.1142/q0089 | May 2017
Pages: 252
By (author): Maurice de Gosson (University of Vienna, Austria)'

Anyobe has this book

[gray gazelle]

Libgen might

[high pine]

i cant find it there

[gray gazelle]

you have a doi so maybe sc*hub?

[manic fox]

skihub

[stark creek]

anyone got experiences with any of those books?

[sage python]

I think Lang is fine?

I didn't use any of these myself tho

[stark creek]

oh

do you know if langs book contains exercises?

[lapis sundial]

it does iirc

[stark creek]

alright cool

[prisma snow]

I like Janich because it is short and simple, but I didn't read the whole book

[lapis sundial]

axler moment

[bronze raven]

What are some holy scriptures of math

Truly holy

or what would qualify as holy

Im assuming comprehensive and not necessarily easy to understand

A book to live by and read daily to stay in your field

[gusty smelt]

EGA

obv

[bronze raven]

Ok bible will be aquired

rigorous treatise means?

[narrow talon]

Federer Geometric Measure Theory mayhaps

[atomic stag]

which book would you guys recommend for Algebra...

basic to Advanced

I need to work on my algebric skills for calculas..
(grade 12 india)

[lusty crystal]

You might just want to give khanacademy a go

[atomic stag]

does their app also contains exercises?

[lusty crystal]

Yes

I don't have a good book recommendation, khanacademy has exercises, but I will say they seem kind of basic to the core lesson. They definitely help you practice what you're learning, and there is variety, but they don't have any 'reach' questions that might take a lot more time and thought to come up with an answer.

I hope the way I phrased that made sense

[marble gulch]

Try Gelfand's Algebra book.

[misty wyvern]

lmao I thought I just found a new abstract algebra textbook by gelfand and was wondering why id never heard of it before

[odd finch]

Anything on beginner Trig and geometry to intermediate?

As well as Boolean logic

[gray gazelle]

good books for calc 1 & 2?

[wispy lantern]

Calculus Early Transcendentals (8th ed.) by James Stewart?

[gray gazelle]

oh isn't that famous?

like the 'Intruduction to electrodynamics by griffiths' of math books

[wispy lantern]

lol

[wispy lantern]

you have read this before?

[gray gazelle]

I haven't yet but I know the meme haha

but I assume it's good?

[wispy lantern]

yea definitely

[gray gazelle]

nice

[wispy lantern]

just like rudin in math analysis

[gray gazelle]

I'll keep that in mind 👍

[gray gazelle]

🤢 🤢

surprised that tao's analysis books aren't famous

since it's tao

[manic fox]

so true

[wispy lantern]

isnt it famous too?

[gray gazelle]

not sure

only heard about it on mathwizard

the youtuber

[wispy lantern]

i think it is more readable

than rudin

oic

[gray gazelle]

just realized that yours is too

forget this meme

[wispy lantern]

🤣

[coral narwhal]

bad memes go in #chill

[gray gazelle]

of course that's coming from the anime profile pic guy

[astral laurel]

IMO there is some reason why some books are famous and widely used

[gray gazelle]

as long as they're not infamous

[astral laurel]

yup thats true 🙂

[gray gazelle]

that would be a Classical Electrodynamics by John D. Jackson of math books

[astral laurel]

I think I've heard that book is infamous
Though isn't it both infamous and highly regarded?

[gray gazelle]

not sure I'm honestly not big in physics rn

[lapis sundial]

Yeah I think it's kinda infamous for being terse and having hard problems lol

[gray gazelle]

Is this book good

@white cradle this is the book that I am using

Is it good

[white cradle]

no clue

[gray gazelle]

Ok

[gray gazelle]

yeah its pretty good especially if you are quite new to pure math in general

Ok nice

Thanks

[gray gazelle]

am I the only one that feels like the sets of 5 seem kind of like a threat?

Ye lol

I feel the same

[flint forge]

They are

[gray gazelle]

surprised that you said that tao's analysis books aren't famous

didn't even expect this

[high pine]

https://www.reddit.com/r/askmath/comments/oxt17i/are_there_any_good_books_for_the_topic_on_formal/?utm_source=share&utm_medium=ios_app&utm_name=iossmf

[primal summit]

Does anyone know of a book or any literature that deals with lattices (mostly in euclidean space)?

[foggy relic]

would you recommend pugh analysis or tao analysis 1/2 if im comfortable with fairly advanced proofs and etc

[prisma snow]

Pugh

[eager stump]

Pugh but it doesn't hurt to also read Tao, assuming if you're at a uni you can get your hands on both of these

[gray gazelle]

Which should be first, reading a book on abstract algebra (Hungerford's) or a book on linear algebra? (axler's)

[prisma snow]

Probably linear algebra

Not strictly necessary, but that's the usual order

[sage python]

Artin or Knapp if you wanna do both simultaneously

[prisma snow]

Manan tried doing Knapp, and the LA is too fast imo to learn it properly

[sage python]

Manan just needs to level up

[prisma snow]

Trueeeee

[sage python]

I'll take him on as a student and then he'll do so

[prisma snow]

@karmic thorn quick, don't miss this opportunity

You can get the slowest teacher ever

https://tenor.com/view/sloth-slow-stamp-gif-8535595

[karmic thorn]

[gray gazelle]

So linear algebra first ?

[willow pecan]

Yes

[gray gazelle]

Alright, thank you

[sage python]

I mean Artin's fine for doing both and I think is the most efficient strat

[gray gazelle]

Artin has books on both subjects?

[prisma snow]

No, one book that covers both

[gray gazelle]

What is it called

[eager stump]

Algebra

[sage python]

Otherwise yeah read either Hoffman-Kunze or Friedberg-Insel-Spence

[gray gazelle]

Is it really as good as reading the two books I suggested?

[willow pecan]

Axler is overrated

[foggy relic]

you just need to know basic lin alg for abs alg (based on my experience)

like vector spaces, matrices, etc

you could honestly read in any order

[foggy relic]

I disagree

Im doing it rn and it is definitely not overrated

[crystal lion]

Axler is highly rated

[marble solar]

Axler isn't overrated, it's a very good second approach to linear algebra

assuming you already know about determinants

[eager stump]

yea for everything other than determinants it's top shelf

problem is determinants killed his parents

and he can never forgive them

[spiral night]

does anyone know a good substitute for slader? i cant really check my work now that its a paid service

[fossil arch]

this server

just post your q & work and ask someone to check it for you

[willow pecan]

Also read #❓how-to-get-help

[spiral night]

yea but i cant do that for every question

[sage python]

The Axler fight begins once again

Axler is very overrated

[quick hornet]

man i wish my girlfriend cared as much about me as members of this server do about which intro LA book is best

[solemn rover]

"The Axler fight begins again"
(immediately engages with the Axler fight)

[willow pecan]

Have you expressed your needs and wants in a simple and straightforward manner

I hear that helps

[gusty smelt]

true, tell her u want her to scream at u about determinants

[gray gazelle]

Is Axler good

[willow pecan]

No

[gray gazelle]

Oh

[willow pecan]

#latex-testing

[shy totem]

yo

i can explain

[gray gazelle]

Explain yourself @honest egret

[willow pecan]

Regardless of what you're explaining, this is not #book-recommendations content

[shy totem]

i

red was in vents

[willow pecan]

<@&268886789983436800>

[wispy pebble]

@gray gazelle @shy totem knock it off

[gray gazelle]

Yes moderator I sowwy 🥺

[steel viper]

Please do not post things like this here

[crystal lion]

i mean there’s not much to fight about

axler is the best and that’s that

react with if you agree

[gray gazelle]

[sage python]

Not falling for your mind games

Axler is dogmatic and it's the problem is the dogma is stupid

[valid moth]

"Axler is dogmatic and it's the problem is the dogma is stupid"

this is your brain on being an axler anti

[sage python]

The answer is just stop letting linear algebra students be kindergarteners and just teach multilinear algebra

[willow pecan]

kindergartens

[solemn rover]

kindergartens

[gray gazelle]

kindergartens

[sage python]

You misspelled it

[willow pecan]

(edited)

[sage python]

That's not how you spell "Kindergarteners" either

In fact that's very far off I have no idea how your attempt got scuffed that badly

[sharp latch]

Whoa I didn’t realize people had such heated opinions on Axler

[foggy relic]

Yes

Sloth what do you have against Axler lol

[flint forge]

The determinants thing

[foggy relic]

Ok, but besides that?

[flint forge]

Nothing

[foggy relic]

That part is bad I agree but everything else is really good

Just do determinants from somewhere else

[gusty smelt]

"why are you dying?
my heart stopped
Ok, but besides that?"

[flint forge]

LADW is the best book

I’ll always defend it

[foggy relic]

LADR>>

[frosty girder]

LADW?

[foggy relic]

Done wrong

[frosty girder]

Oh LA done wrong

[flint forge]

Linear Algebra Done Wrong by Treil

Its very good

[frosty girder]

[foggy relic]

Axler better

[flint forge]

For what reason

[frosty girder]

i read a little (and i mean little) part of Friedberg, and it was good

[foggy relic]

I wish these books had solutions manuals

[flint forge]

Because Axler has an enormous flaw

[foggy relic]

The determinants part?

[flint forge]

So “the rest is fine” just doesn’t cut it

[gusty smelt]

yes.

trying to not use det is contrarion and cringe

[flint forge]

Well

It is motivated

In view of the fact that Axler does functional analysis

But it’s not a good first approach

It is nice to see what can be done without it as a side interest

[gusty smelt]

i mean yeah its interesting to see a novel approach ig?

but determinants is just, too important if you have any sort of finite dim spaces

[marble solar]

If you already know determinants

what's wrong with axler

[sage python]

If you know determinants why are you reading a linear algebra book

[marble solar]

There's more to LA than determinants

[sage python]

I mean unless you took a class on linear algebra that was pure determinants

Which doesn't strike me as being a thing

I guess I don't really think there's a point in doing 2 linear algebra courses that duplicate content

[marble solar]

What about lower division and upper division linear?

[sage python]

It's kind of a stupid division

If you're not a math major you do a computational linear algebra class

[marble solar]

In my lower division linear we proved a lot of determinant properties

[sage python]

If you're a math major you do an actual linear algebra class

And that's it lol

[marble solar]

in upper division we assumed you knew determinant theory

and just focused on linear maps

[sage python]

Like Axler isn't a second course on linear algebra

It's a first course

[marble solar]

I disagreee

[sage python]

Which does a poor job at an important topic

[gusty smelt]

axler offers nothing for a second course.

[sage python]

I know the book calls itself a second course but what material in it is "second course"?

It's a first course but for math majors

A second course in linear algebra to me is like

Idk stuff like matrix factorizations or smth

Maybe other types of spaces with bilinear forms that come up, eg Euclidean, symplectic, etc

But I hard disagree with math majors doing a first course that's just R^n and matrices

And then a second that's vector spaces and linear maps

[finite maple]

any body familliar what book is this?

[sage python]

Look under the "required reading" bit

Seems this is companion to a book called "Electronic Principles", 7th edition

So your book is probably this: https://www.amazon.com/Experiments-Electronic-Principles-Engineering-Technologies/dp/1259200116

Probably

And the book it references is this: https://www.amazon.com/Electronic-Principles-Albert-Paul-Malvino/dp/0073373885

[finite maple]

actually its not the book

ive tried and search for it doesnt have the same content

[sage python]

Searched for this one?

[finite maple]

yes

[quick hornet]

google brings up "ELEXLB2 Manual"

whatever that is

[sage python]

Uh Namington when I look that up it seems to be on a topic called "Chemical DN Theory"

Which isn't what the experiment seems to reference?

[quick hornet]

?

...

dami

no

[sage python]

:)

I consider the question mark as you having gotten got for a sec

Deez Nuts

[quick hornet]

apparently ELEXLB2 is a course code used by asia pacific college

[sage python]

@finite maple jokes aside try Namington's suggestion I guess

[quick hornet]

so its probably proprietary to them

ie i dont think this is from a book

probably prepared by a lecturer at APC

[finite maple]

i dont know actually

but this was given to me by my senior to review for the incoming year of college ill be taking

[marble solar]

You cover most of axler in a semester

At LA we covered it in two quarters, with a bit extra material

The first class at LA more closely corresponded to H&K

but 115B closely corresponded to axler

even though that wasn't the official text

[sage python]

Once you do H&K you've largely subsumed Axler tho

[marble solar]

we did jordan canonical and rational canonical form

in second quarter

[sage python]

Okay wait let's be specific, how much of HK did you do first quarter?

1-5? 1-6?

And then second semester you did Jordan/canonical and then what?

[marble solar]

It didn't directly correspond to H&K

We did like chapters 2, 3, 4, 5 and parts of later chapters like 7 w/ inner products

The second quarter had a larger emphasis on equivalence classes

well-definedness, and some other neat properties in Linear Algebra

[sage python]

I see

[timid musk]

How's the coverage for linear algebra in Artin? I've been hearing that a lot of people like it, and it's an abstract algebra book that doesn't assume much knowledge of LA.

[gusty smelt]

I think its good, it has a high relaince on disgusting matrix algebra memes but i think it generally covers the important things

and the exercises are very good

[karmic thorn]

The first chapter is boring as hell, but I admit the exercises are good.

[timid musk]

Nice. I have a copy of Dummit, but I'm starting to get more interested in learning abstract algebra from Artin as my starting point.

[gusty smelt]

good decision, dummit and foote is the worst math book that is popular.

[sudden kindle]

Dummit and foote is good

[flint forge]

Its a great reference text that would probably be very dry to learn from without a lecture

[timid musk]

Dry? I keep hearing that word being used to describe textbooks, but I'm not exactly sure what it means in that context.

[flint forge]

The opposite of entertaining

Like reading a dictionary

[timid musk]

ah

[crystal lion]

if you enjoy entertaining books I recommend Contemporary Abstract Algebra by Gallian

[cursive orbit]

Classic

[crystal lion]

I had to get my daily gallian recommendation in

idk what you guys expected

[broken meadow]

[gray gazelle]

[analog lava]

should i keep going with rudin

papa rudin for measure theory?

i want to learn how to learn math

and it turns out examples are the way to do that

papa rudin lacking examples 😦

[gray gazelle]

Papa rudin ain't setting no good examples for a papa

[analog lava]

what should i read then

if im learning the mateiral for the first time

[prisma snow]

Folland is probably the most recommended.

[gray gazelle]

mo2men homie what do u want to learn

[vale zodiac]

I am looking for a good introduction book on PDEs, that is easy to follow for a self-learner. I have been using Evans for some time now, but the notation there got me lost too many times. I am aiming at a pure maths approach not physics/engineering intuitions

[gray gazelle]

Where did you get stuck/lost in Evans out of curiosity?

I know when I looked at ch2, it looked like too much calculus/shit, so I skipped to ch5. Although I haven't made much progress, about half of ch5

[vale zodiac]

I have made it through ch2, but there were many steps where I was not sure where they come from. He often says that he uses integration by parts, but it doesn't look like the standard formula. He also uses notation for an average of function as a integral with a bar in the middle, I spend too much time looking for mistake because I missed the bar at interpreted it as a standard integral

[slim peak]

Stokes formula/Divergence theorem is the generalized Integration by part formula it is the same

There is many ways to look at PDEs, the most common one is through Evans' book, but another way could be to investigate Real Analysis, then Lp spaces with mollifiers stuff (convolution with approx. of Identity Theorem), then some Functional Analysis

notice that it depends also on the kind of PDEs you want to investigate

[analog lava]

real math

[hasty turret]

Would you like real functional analysis

[vale zodiac]

I don't know yet, I am just trying to learn basics of this subject to see what it is about

[marble solar]

It's hard to make progress past ch.5 since the material becomes so unmotivated/abstract

With all these forms. I've made it through chapters 6 and 7

But I don't think anything stuck

[forest sleet]

You could try Brezis for the functional analysis approach. I haven't read the whole book but I think it has more motivation, or at least a different approach to pde than Evans

[willow pecan]

Evans is definitely a pure math approach though

And the notation isn't unusual

The dash int for average is very common

[forest sleet]

Brezis does spend a lot of time on functional analysis with no pde for a while though so it's definitely not the fastest way to get to pde

[willow pecan]

Also chapters 2-4 of Evans are the boring pde

[forest sleet]

But if you like functional analysis Brezis is good, otherwise if you don't really like functional analysis it probably won't be very fun

[marble solar]

I think Chapter 8 kind of motivates chapters 6 & 7 a little bit

In Evans

but I haven't worked through chapter 8 that much

[willow pecan]

I don't from your description of your troubles with Evans it sounds like you just need to read more carefully and spend more time with working through the proofs

Like

Knowing integration by parts well enough to do it without thought is something important for all of pdes

[vale zodiac]

Yeah, I'm kinda going lazy on that, I will have a PDE class next semester though, I just wanted to get to know some basics but I am probably speeding too much and not grasping the details well enough

[forest sleet]

What's everyone's thoughts on Gilbarg Trudinger? I found it really dry but maybe I just don't see the big picture on those pde.

[vale zodiac]

I gonna check out Brezis

I haven't heard about it tbh

What are your thoughts on Arnold's lectures on PDEs? I kinda enjoyed his ODEs lecture, although I have read only small part of it

[gray gazelle]

any recommendations for coordinate geometry?

[willow pecan]

Khan academy

[gray gazelle]

i meant a book

[crystal lion]

Khan Academy, the book

[gray gazelle]

😑

please.

thats pretty funny

[gray gazelle]

@ <d>666</d> Sidney Luxton Loney's book is the one i am using. Maybe you can try that, it is free on archive org.

[slim peak]

All hail Brezis. Brezis will conquer the world.

Amen.

[misty wyvern]

Brezis is good.

Taylor is king tho

[sage python]

HORMANDER

[marble solar]

Taylor for PDEs or Functional or yes

[misty wyvern]

I took functional analysis from one of Hormander's advisees

now a nice old man himself

[gray gazelle]

what is the difference between james stewart's calculus and calculus: early transcendentals?

[sage python]

@gray gazelle I'm guessing the latter treats stuff like exp/log/trig earlier

[gray gazelle]

is that in case of the order in which calculus is taught in high school?

[broken meadow]

i believe so

[gray gazelle]

Isn’t Grandpa Rudin functional analysis?

[sage python]

Yup

[marble solar]

Unironically suggesting rudin

[sage python]

Rudin is great as long as you're not a nerd

[misty wyvern]

Rudin good actually

Tao bad actually

[flint forge]

Rudin and Tao both have the same flaw and are both bad

[orchid musk]

cummings and pugh are pretty solid

[gray gazelle]

can someone recommend me a fun book

i feel like i kinda lost my passion for my math

maybe a fun book can bring it back

or a multivariable calc book

with a enjoyable approach?

idk

[willow pecan]

Omniscient Reader's Viewpoint is a fun book but it isn't about math

So not quite relevant

Fun math books

What a rare request

[gray gazelle]

whats it about

yea

[willow pecan]

ORV is about some guy who reads a webnovel for 10 year and then it becomes reality and he does cool stuff with friends

If you want to read it, here it is

[smoky surge]

weebnovel*

[willow pecan]

It's not Japanese

It's Korean

[gray gazelle]

ill keep it in mind

ty

[willow pecan]

Please try to use more accurate insults

[gray gazelle]

wait i should elaborate on what i mean by a fun math book

[broken meadow]

hmm fun math books

idk chief

i never really thought of a book being "fun" and "not fun"

you know?

[gray gazelle]

yea

i mean like

a math book not as a textbook

well i shouldve just said that

[broken meadow]

hmm

oh

okay so

[gusty smelt]

mathmetics made hard.

[broken meadow]

maybe some books with some history in them might be interesting

[smoky surge]

AoPS

[broken meadow]

yeah mathematics made difficult is hilarious

[smoky surge]

book of proof

or intro proof books are kinda fun

[broken meadow]

eh book of proof is boring af

[smoky surge]

oh

i liked it

[broken meadow]

it was cute but like way too short lol

instead consider reading something by raymond smullyan

[smoky surge]

I mean that sounds on point here

based on what the asker wants?

[broken meadow]

oh okay i see

yeah

[smoky surge]

whats the main difference between the two hatcher books that are recommended? I want to read a topology

book

[gray gazelle]

yo uhh what background do i need for it tho

like its supposed to use sophisticated and hard methods to prove things right

[gusty smelt]

oh no its a humor book

[gray gazelle]

oo alr

[broken meadow]

like yes some of the jokes do require some understanding of some higher math but a lot don't i think

[gray gazelle]

awesome thanks

[gray gazelle]

horror book recommendation?

[gray gazelle]

House of Leaves by Mark Z Danielewski

Do get yourself a physical copy

[karmic thorn]

Okay Springer agent

[manic fox]

lmao

industry plant

[gray gazelle]

hey I have been recommended "Modern Geometry by Clement Durrell" and I just cant find it anywhere. Anyone got any clue where I could?

[gray gazelle]

http://knowledge-dojo.com/

[gray gazelle]

Me ?

bruh this guy has wrote so many books on geometry

Yeah

I did his trig book back in hs

[gray gazelle]

I cant even find this one lmao

It's under a different name

this?

Older edition

I am more focused on Olympiad geometry

and a senior recommended this to me out of nowhere

Sorry I have never engaged in competition math at any capacity

Idk which of these books is the one

But I have heard about Evan Chen's geometry book

[gray gazelle]

It's the plane geometry one

okay

[gray gazelle]

That guy said that "It helped me achieve new insights in geometry"

I am not sure which one to use EGMO seems appealing but idk

I will give both a read ig

See which one vibes with you

yeah

this book seems short

guess I can use it as a side read

oh its actually long two pages on one lol

yeah I will just use EGMO and use this as a side book

[quaint scroll]

is 58$ a lot for Rational points by silverman and tate?

[gray gazelle]

58$ is a lot for any book imo

unless it has few thousand pages I guess

or historical value

[quaint scroll]

then ye, better off waiting for a used copy

only has ~400 pages

[gray gazelle]

I mean if I could spend 58$ like its nothing then Id go for it

so if you can afford it then why not

[quaint scroll]

i'm kinda on a tight budget rn

just wanted a copy cause the book is pretty good imo

i already have the pdf

[gray gazelle]

I'd buy a book for 58 if I really wanted it

[vale zodiac]

if you already have pdf then you can wait for a used copy for the sake of having physical version

[forest sleet]

If your University has Springer access you might be able to get a print on demand book of any Springer book for $25 including shipping

If you have an author id with Springer you even get a discount on that

or I think various professional membership things might get you a discount as well

[lofty sluice]

Books for Propositional Logic?

I am looking for books which r rigorous(tho some intuitive one wont hurt).

[gray gazelle]

Is Fraleigh good for abstract algebra

[analog lava]

yea

[quaint scroll]

yeah i was thinking how much the used copies go for, cause if they're still pricey then paying 10$ extra for a brand new one is more worth it

[gray gazelle]

enderton homeboy

[lofty sluice]

@gray gazelle I see thanks

[forest sleet]

on amazon the brand new one looks nearly the same price as used. if you have a friend with a springer discount it'd also be like 1/3 off the springer website.

[clever ore]

Can someone recommend me books, or other resources, about Laplace transforms?

Something that gives a solid introduction to the topic would be appreciated, but if it goes a bit deeper into the topic that's good too.

[analog lava]

https://www.springer.com/gp/book/9781447163947

@clever ore

[halcyon garden]

Does anyone know a physics based book on coordinate systems and the multivariable calculus on each of them?

[quick hornet]

thats sort of a weird request, why would a physics book specifically cover that?

(obviously its relevant in physics but itll usually be taught in a mathematics text)

unless you mean it just uses the mathematics

in which case... any advanced mechanics book

[halcyon garden]

Ok, then an applied math book for that?

Ah.. I want something a little deeper than the tool box they give us in books like Griffiths EnM

[gray gazelle]

you can probably find some balls to the walls applied coordinate systems material in a computer vision book

it will probably be a lot of painful linear algebra

[karmic thorn]

Try Mathematical Methods for Physics books?

They'll likely cover more stuff than Griffith's E&M

[halcyon garden]

Right

Thanks

[clever ore]

👌

[slim peak]

Schaum's Outline on Laplace Transform is a good one with a lot of exercises

but not "enough" theoritical considerations

(at least for me)

[hearty steppe]

Schaums seems very surface level computational stuff

I remember looking at his ODE book

I don’t really feel like it teaches you anything 🤷‍♂️

There’s just too many “math books” that are books designed for engineers to refer to the computations to be performed. Not the nature of what is going on with these computations

[slim peak]

It is a little bit deeper than that, there is use of Complex Analysis with residue Theorem for Inverse Laplace Transform etc...

[broken meadow]

[slim peak]

The only book I know that deals with (almost all) abstract properties, is far harder than anything that could be recommended here : absolutely everything is proved, but in a Banach space-valued setting to deal with PDEs...

• "Vector valued Laplace Transforms and Cauchy problems" by Arendt, Batty, Hieber, and Neubrander

The first author was the PhD advisor of my PhD advisor.

https://www.springer.com/gp/book/9783034800860

[sacred veldt]

Hi, i'm beginner in math, and i need a book about elementary things, arithimethic. Can you help me?

[willow pecan]

Khan academy

[lapis sundial]

Oh wow I've come across the second author of that book and never expected to see that book again

[polar linden]

I’m curious, what do you people think about Tao’s analysis books (specifically as textbooks to self-study from)?

I’ve been going through Analysis I, and I’ve had some minor complaints about an exercise where the method of proving it isn’t really introduced until the next section, or Tao being inconsistent about what index sequences start at, but overall I think it’s pretty good so far

Except the part where he defines 0^0=1, of course. That’s heresy :P

[eager stump]

I like them. Pretty digestible on the most part.

[prisma snow]

I strongly dislike his exposition style and lack of exercises 🙃

[gusty smelt]

I dislike ur lack of exercise.

[prisma snow]

Hahahaha

Me too

[polar linden]

What do you not like about his style?

[prisma snow]

It seems as though he tries to define or explain some stuff in nonstandard ways when I think the standard ways are much better. Like his definition of the limit of a function relies on taking a restriction of the function like 2 or 3 times, instead of just giving the normal definition with quanitifiers.

[fleet rivet]

What would be a good book to learn about matrices, vector subspaces and tensors at an undergraduate level?

[karmic thorn]

The exposition is excellent. I've worked through V1 almost cover to cover. The only qualm I have is a lack of computational exercises, which I've lately realised are rather necessary for understanding.

[wispy pebble]

found it odd not bc it restricts an extra time but bc it allows limits at isolated pts which is meh

[prisma snow]

Yeah, that too

And in general considers the point you are approaching, iirc

[wispy pebble]

oh yes, one must plug set\{approach pt} into the def to get the ‘usual’ def

[prisma snow]

[wispy pebble]

one can define the usual in terms of this to maintain sanity

[prisma snow]

Terrible

[wispy pebble]

$\lim_{x\to c}f(x):=\lim_{x\to c;x\in X\sm\brc{c}}f(x)$ if $c$ is a lim pt of $X$

[prisma snow]

Does he do that though? Maybe I missed that part

[karmic thorn]

And what are adherent points again

[wispy pebble]

one can define the usual in terms of this to maintain sanity

[prisma snow]

Elements of the closure

[karmic thorn]

Limit points as well as isolated points?

Hmm

[prisma snow]

All points in the set + limit points

[wispy pebble]

tao didn’t do this; i did just now

[prisma snow]

Very good rokabe

Rokabe > Tao

[karmic thorn]

Okay

[karmic thorn]

Tao>Luna

[prisma snow]

It is kind of funny though. Like you share screenshots of exposition that you think is amazing, and I think you shared it to roast it

[karmic thorn]

[hasty eagle]

Symphony of Illusory Divergence

[wispy pebble]

typo

[sage kelp]

So what’s the best introductory analysis book you would recommend instead of Tao?

[cursive orbit]

Rudin

[polar linden]

I actually found Life of Fred: Real Analysis pretty fun to read, but I doubt anyone’s heard of that

I don’t think it’s as rigorous

[sharp latch]

I liked Rosenlicht intro to analysis

But intro analysis should def be paired with a professor imo

[lapis sundial]

Is the consensus that Rudin is a good book for review / a second course and not great for an intro?

[willow pecan]

Rudin is fine as a reference

[lapis sundial]

Yeah sure

[willow pecan]

I would never recommend someone learn out of rudin

Especially on their own

[lapis sundial]

I never used it for an intro and quite like it now, but I suppose that's only as ive already done stuff so that checks out

Sure

[gray gazelle]

Its good for a fourth read

[lapis sundial]

Lol

[marble solar]

Rudin is a fine book, even to learn from depending on your tenacity

But I and agne think it's not so great

I think of it as a set of notes rather than actually teaching you how to problem solve

[primal summit]

Agne

[broken meadow]

Ngea

[karmic thorn]

Gena

[glossy grove]

Egna

[marble gulch]

Rosenlicht to start, then Royden. No Rudin necessary.

[brittle latch]

i see the books in #books-old but i was wondering if anyone has suggestions for self study material in analysis. i didnt see any lectures on OCW unfortunately and that's my preferred thing but any suggestions on other sutff?

i know this isn't specifcially book recommendations im asking for but i didnt wanna ask this in the analysis channel since it's not really analysis

[austere otter]

"Principles of Harmonic Analysis" by Deitmar and Echterhoff

And "Fourier Analysis on Number Fields" by Ramakrishnan and Valenza

[crystal lion]

you could’ve chose any permutation

[broken meadow]

?

oh

i see now

i didn't realize it looked like that until after

rip

not my intention

[austere otter]

Oh re analysis, also: "Integrals of Nonlinear Equations of Evolution and Solitary Waves" by Peter Lax.

[slim peak]

Never read it, but I heard of it to be good

[austere otter]

Also Folland's book

"Real Analysis: Modern Techniques and Their Applications"

@slim peak it really is

[crystal lion]

seems racially motivated tbh

(joke)

[sage python]

@brittle latch what's your current level in analysis?

I think that's question 1 in figuring out what to recommend lol

[crimson cipher]

@sudden kindle hi, is a gentle course in local class field theory by Guillot any good?

[sudden kindle]

Yeah

I'm still in ch 2

But it's good so far

Doesnt get into actual CFT until the end of the book tho

So u have to be patient

It's meant to be readable to anyone having taken a semester of Galois theory

So it takes a lot of time building up prereqs for CFT

Part 1 of the book does general prereqs (Kummer theory, local number fields, topological groups). Part 2 does Brauer group, Part 3 is Galois cohomology (iirc). And then all these tools are finally used in Part 4 which is Class Field theory.

[gentle sapphire]

Any good recommendations on introductory set theory books? I'm looking for one written in a formal way, and have no problem reading a book that would be considered "dry". I'm contemplating on Enderton's Elements of Set Theory and would love some suggestions.

[uncut zealot]

I've read chapters 1 and 5 and it's pretty good. Surprisingly accessible too, at least in those parts.

Also, does anyone know where to buy this book? I've tried looking for it online, but I've only seen the image of the cover going around and haven't been able to find out where to buy it

[polar linden]

What is that?

[uncut zealot]

Math Makes Sense 5 A Cohomological Approach

[broken meadow]

black and white pfps moment

[uncut zealot]

That's actually pretty awesome.

[gray gazelle]

back to a colored pfp it is

[broken meadow]

nooooooooooooooooooooo

[willow pecan]

[gray gazelle]

what is a good book on symbolic logic?

[crystal lion]

they stopped publishing it so there’s only seven copies in circulation

they’re known as the sacred seven

[uncut zealot]

That's a shame. Has anyone uploaded a pdf?

[gray gazelle]

can someone recommend books for LaTeX, i am learning

[brittle latch]

non existent

mathwise, ive spent the past year or so mostly doing discrete math and linear algebra

[brittle latch]

i wouldnt recommend a book for latex, just write stuff with it as much as possible while keeping the docs open and maybe stack overflow too and it'll stick with practice

[sage python]

Yeah so the books recommended wouldn't be suitable. Do you know proof-based math? Proof-based calculus maybe?

[gray gazelle]

ok

yeah

like analysis?

[brittle latch]

i think theyre referring to what i asked earlier about analysis, not latex

id need some catching up with my calc but i have done some

[gray gazelle]

what grade are you in

[crystal lion]

I don’t think there’s any online copies given how sought after the book is

I believe Terrence Tao may have a copy (just a rumor though)

if you ever meet him you can ask him in person

[summer night]

which James stewart book is best to get through calc 1-3? I have learned calc 1 using Brian E. Blank and Krantz Single variable calculus but i wanted a series that more cohesive in its style for 1-3.

[summer night]

NVM I decided to use the openstax books

[gray gazelle]

i believe that the openstax books are based off the james stewart books

[summer night]

perfect then 🙂

[polar linden]

Math makes sense 5 sounds like an elementary school book, but I don’t even know what cohomological means

[gray gazelle]

it's homological but dual

[polar linden]

Idk what that means either

Is it a joke book?

[gray gazelle]

yes

(no)

[polar linden]

Ah

[quick hornet]

math makes sense is a series of textbooks used in canadian elementary/middle schools

i made that image as a joke

jokes arent funny when you explain them

[polar linden]

I know they aren’t

I shouldn’t have said anything

[karmic thorn]

Any problems book for real analysis? I would like a book which does a lot of computational, applied (in the sense of being used in different branches of math, like say, probability) problems besides standard theorems and results.

[willow pecan]

Counterexamples in Analysis perhaps has a lot of problems

Your best bet for applied analysis is just books on applied analysis

Like pde books

Or probability books

[karmic thorn]

Ah, okay

Thanks!

[karmic thorn]

Any recs for this?

[willow pecan]

Evans for PDEs

[karmic thorn]

I'll also be taking a numerical methods class next semester, any book that goes back and forth between these two?

[willow pecan]

S&S for Fourier/Complex/Functional analysis

Iserles and Demmel for numerical analysis

[karmic thorn]

[willow pecan]

LeVeque as well

[karmic thorn]

Evans' book seems to cover a lot of material from classes I'd eventually be taking, so it seems interesting. What are the necessary and sufficient pre-reqs going in?

[sudden kindle]

Does anyone know where I can find an English translation of Sur l'uniformisation des fonctions analytiques by Henri Poincaré

[fossil arch]

ODE textbook (not full analysis please, analysis-oriented is fine)

this is for a first class in diffeqs

in my mind by analysis-oriented I mean like spivak's calculus

[hasty turret]

.

[fossil arch]

thanks drake I'll check it out

[hasty turret]

I guess go with arnold

Perko doesn't seem suitable for a first class

Tho,I don't know enough ODE to judge

Take this with a mountain of salt

[broken meadow]

"there are no good ode books"

if you want something really basic you could go with the sad sad books such as

uhh

what is it called

there were two

nagle saff snider

[hasty turret]

Isn't true ODE that actual mathematicians care about supposed to be dynamical systems

[broken meadow]

and then the other similar one

yeah i heard all of this stuff is like

outdated or something and is basically used as just another calculus flavored prereq for stem classes

🤷‍♀️

[karmic thorn]

Bumping this up

[slim peak]

Some basics multivariable calculus, real analysis the Lebesgue measure, Lp spaces, basics of Distribution theory, to have clear overview

[karmic thorn]

Might have to wait for a year to get there

[willow pecan]

For chapters 2-4, not that much - mainly integration by parts

For chapters 5 onwards, functional analysis + measure theory

[karmic thorn]

[frigid comet]

yeah 2-4 you don't need much for

and even the integration by parts you can blackbox if you haven't done like rigorous MVC with stokes and stuff.

itll just be a few formulae you use repeatedly

[karmic thorn]

I see; I'll still probably go through rigorous MVC, the stuff might end up being too terse otherwise.

[frigid comet]

something like spivaks calc on manifolds would suffice for that

[karmic thorn]

[gray gazelle]

what is a good book on propositional calculus

[crystal lion]

pugh for rigorous MVC

[crystal lion]

ok pugh is actually cool though

assuming you know point set topology coming in

so you can skip his “a taste of topology” chapters

[tulip blade]

I like it.

So many good exercises too.

[gray gazelle]

Does anyone know a good site/book(free available) with exercises on diagram chasing (in the context of exact sequences in module theory) ?

[gray gazelle]

Maybe take a look at this https://research-repository.st-andrews.ac.uk/bitstream/handle/10023/12643/ModuleTheory_CCBY.pdf?sequence=7&isAllowed=y

@gray gazelle

[grave egret]

Any pdf version of Dustermaat and Kork?

[prisma snow]

Which book of theirs?

[grave egret]

The lie algebra one.

[gray gazelle]

Thanks, I'll take a look at it. @gray gazelle

[sage python]

@grave egret officially it's against TOS to share pirated material, so we unfortunately can't provide you with that

[grave egret]

Oh.

[orchid silo]

Good book for integral transform and its application

[willow pecan]

Integral Transforms and Their Applications, perhaps

How much theory do you want and how much application do you want

[broken meadow]

operational mathematics is a very old text on this stuff i think

but maybe not general enough i think it has too much on laplace

[hollow drum]

Can anybody recommend a book or supplement to learn the history of functional analysis? I wanna know why the subject was developed and major events. Something that answer "why was hahn Banach theorem so important?" Or "who are some important historical figures".

[marble gulch]

Dieudonné's "History of functional analysis"

[hollow drum]

Thank you two!

[vocal panther]

Is there any type of book that studies the link between mathematics and music theory?

or just like that and like synthesizers/digital music production?

I'm interested in both mathematics and music but I'm not sure how to connect the two fully

Also @stray veldt Thank YOU SO SO SO MUCH FOR THE Proofs notes!!! This is amazing! I was having troubles beginning Jacobson's 2nd Edition on Algebra and this helps massively

[eager stump]

hindemith's theory book is rather dense, archaic, and highly idiosyncratic (i don't reccomend it) (i do love hindemith for the record)

it really depends with the type of music theory you're asking about. schenkerian analysis? 12-tone serialism? jazz?

[vocal panther]

I might have to study mathematics and music more to tell you an exact theory

[eager stump]

have you done music theory in a course yet?

or worked through any books they use?

[vocal panther]

I'm barely past Calc 2 and I'm only about equivalent with the knowledge of an intro to music theory course

[eager stump]

just gauging what you might be into

[vocal panther]

Apologies for not knowing my shit yet XD but I'm at about those levels

so like,,, beginner shit 😭 😭

[eager stump]

no no, no need to apologize

do you have some keyboard skills? even if light/

[vocal panther]

yeah

[eager stump]

so try looking up some syllabi, see if mannes (new school) or queens college (aaron copland school of music) posts their syllabi and what book they use. they tend to be known for their theory

for a long time walter piston's book was an entry point but that might be too difficult for a first book

you can write their theory dept and someone will probably reply

you won't really get to see mathematical applications until after you've done a lot of fundamental stuff

[vocal panther]

ah ok

[eager stump]

schenker and serialism tend to have more mathematical approaches. the former treats the classical canon whereas serialism is only for that one style (and is increasingly too niche). but i did have to take 2 semesters of serial theory... lots of basic modulo arithmetic

and if you're into composition you should probably seek out orchestration texts

[vocal panther]

I'll take a look into Walter Piston's book for starters just to see the basics. Thank you so much!!!

[eager stump]

np, good luck!

[vocal panther]

Ty!!!

[gray gazelle]

Dummit/Foote or Fraleigh?

[hollow garnet]

What are some nice math books that contain serious math, but aren't textbooks?

[sage python]

Yeah unfortunately we cannot provide pirated materials

[crystal lion]

ignore this message

—-

[hollow garnet]

because of discord ToS or something?

[crystal lion]

piracy is against the rules in the math server, I recommend you delete your message before a mod sees it and you might get banned

[hollow garnet]

if it was for ethical reasons, idk why you would say "unfortunately"

[crystal lion]

tos is the reason

idt many people here care about the ethics regarding this

except this guy

[hollow garnet]

LMAO

[sour barn]

damn

[sage python]

Discord TOS yeah

I have no personal reservations about you acquiring your materials however you please

[fluid bay]

DF. Fraleigh seems a bit slow for self study

[slender sphinx]

Anyone have a suggestion for a introductory book about measure theory?

[gray gazelle]

anyone have a book recommendation for expanding my vocabulary?

[willow pecan]

Omniscient Reader's Viewpoint

[gray gazelle]

谢谢你念omniscient书了

[gray gazelle]

i finished 17 chapters

gonna go onto chapter 18

[sudden kindle]

STOPSENDING EPUBS

send pdfs

[gray gazelle]

🖕 EPUB 👏 PDF

[willow pecan]

Epub is nicer to read

[gray gazelle]

epub is weird

[willow pecan]

Why

It's just an html file but with some fancy decorations

[gray gazelle]

My phone can’t open epub easily

mine as well

so i have to turn on my pc

there are all these weird things whenever i use epub readers, like window resizing issues, pages not turning correctly, etc.

[willow pecan]

Lol

I have an iPhone so I can open epubs easily

I also have a Mac so I can open epubs easily

Lol

[gray gazelle]

good thing i can finish several chapters without vocabulary.com

😌

iPhone

i ain't rich

[slender sphinx]

Anyone have a suggestion for a introductory book about measure theory?

[sage python]

Royden or SS if you start with Lebesgue measure

Bass or Folland to do abstract measures from the start

[slender sphinx]

SS being?

NVM I know

[brisk ice]

what is an epub?

nvm appears it is just a differnt file format similar to pdf?

[wooden sparrow]

Yes

There's also .djvu

Just another format

[karmic thorn]

EPUB's are nicer to read with the correct reader, at least on phone.

I recommend Lithium if you're an Android user.

[bronze raven]

🤨

[crude sable]

suggest me a good book for measure theory

conceptual not like straightforward theorem proof type

[gray gazelle]

Not that I have read it, but I have wondered whether taos book is good, I always like his articles etc

[karmic thorn]

I'm (was) working through Tao's book. There are a lot of insights and intuition scattered here and there, but this book is almost entirely made up of exercises, so it is something you need to work through.

[stray veldt]

nice to hear 😊

[karmic thorn]

@stray veldt 2nd edition when

[stray veldt]

i have an updated version on my computer (mostly fixed some typos) but nothing essential

[karmic thorn]

Aah

[sage python]

@stray veldt getting ready to publish in annals of math studies?

[stray veldt]

obviously

[gray gazelle]

A good book for learning mathematics?

[willow pecan]

What type of math

[gray gazelle]

Best book for computer architecture, with practical ASM

That's not math

And it depends on what architecture you're targeting

[willow pecan]

Ask in the CS or EE servers linked in #old-network

[gray gazelle]

LOL, I didn't notice the server got changed 😄

[gray gazelle]

I was posting on CS channel. Somehow it got changed. 🙂

[crude sable]

I was already following Tao's book, it's nice but there are few things that are left unexplained and I feel dumb for not being able to understand them,

[karmic thorn]

You can ask around for help here if you need extra clarification, or maybe keep other standard references by your side(S&S 3, Folland, Royden seem to be passed arround as recommendations)

[gray gazelle]

Patterson Hennesy

[teal aurora]

does anyone have a book recommendation of introduction to real analysis? an easy and intuitive one, just for self study..

[faint pendant]

If you want to take up some challenges, go for baby rudin lol

[cerulean lynx]

Id also like to hear about good introductions to real analysis and abstract algebra

[tulip blade]

this question has been asked so many times in this channel

#books-old

[cerulean lynx]

Sorry, hadnt seen that channel. Thanks!

[faint pendant]

hmm

I don't see why Munkres is not recommended. It's a classic text

[quick hornet]

#books-old is very due for an update

and in fact, is getting updated very soon

no ETA but progress is actively being made

(as in, i think metal is currently just in the middle of structural stuff, and once thats done itll go up)

[faint pendant]

oh nice

[gray gazelle]

Are there any book which does analysis of some papers, for eg: real numbers?

[quick hornet]

not sure exactly what you mean

[gray gazelle]

An analysis of papers is called a survey paper

[karmic thorn]

If you're looking for expository articles which talk about lots of topics from undergrad curriculum, you might be able to find something on Keith Conrad's webpage.

[fossil arch]

I just took my first intro analysis class this summer, we used this textbook. I liked it. I'm still new to math but it worked for me, alongside Google + MSE :P you can easily skip the bits on proofs and sets at the beginning if you know that stuff

https://www.amazon.com/Analysis-Introduction-Proof-5th-Steven/dp/032174747X

[gray gazelle]

Understanding Analysis by Abbott has been highly recommended to me

It doesn’t cover Lebesque integration though, I believe

[teal aurora]

thanks guys, i will check on these later @gray gazelle @fossil arch

[fossil arch]

Yeah +1 on Understanding Analysis as well

[gray gazelle]

Got my kindle Oasis and . . . Let's see my recommended.

A finance book, good. A math book, great! A book by Ben Shapiro. . .ugh...

Well, I'm gonna do it : Imma order Spivak!!!

[tiny karma]

Baby Rudin or Terence Tao for Analysis ?

[gray gazelle]

Oh lord...

[prisma snow]

Rudin

[gray gazelle]

Here we go.

Baby rudin is apparently good for your fourth pass

Im doing tao and I’m liking it

[prisma snow]

Yes, and tao is never good for any pass

[karmic thorn]

What is your background Tobio? Have you taken a proof-based math class before?

[gray gazelle]

When you say "pass"

[karmic thorn]

Silent.

[karmic thorn]

Based

[gray gazelle]

bro, wtf do you mean "pass" you mean like reading through the book?

It’s just a way of saying that you need to be quite familiar with the stuff before attempting rudin

[prisma snow]

Pass referring to how many times you have gone over the material. So your first time is your first pass, etc

[gray gazelle]

Ooohhh....

The material in general, not a specific book

So that's what I signed up for...

Is it too late to jump off this crazy train?

Always

I mean never

Never too late

But then you miss out on the good stuff

good stuff you say???

Yea

Like more analysis

.....

[prisma snow]

Analysis is fun. Don't be scared.

You just need to put in the time and practice a lot.

[gray gazelle]

Look man, I'm holding out hope that I will be able to make my own lasers for fun eventually.

[prisma snow]

To get used to the ideas.

[gray gazelle]

I’m doing it because I want to do formal methods for robotics

Which I think is pretty cool

Cool AF.

[tulip blade]

You need analysis for that?

[gray gazelle]

Yeah, you need differential equations

I'm trying to make software on par with google's original product.

And in my specific case I need to formalize them

Apparently I need lots and lots of linear algebra and math for that.

Yeah compsci is just throwing linear algebra at things

[cursive orbit]

unpopular opinion: I preferred rudin to tao when studying analysis by myself

[tulip blade]

Not unpopular

[gray gazelle]

I think there’s advocates for both

[tulip blade]

A lot of people love rudin.

[gray gazelle]

Do I need Rudin's book to help me understand Spivak? Reading on one of the Amazon reviews that I need rudin to understand the infinite space between things and to truly understand limits.

I don't mind snagging Rubin's, my dog walking customers have been good to me.

[cursive orbit]

which spivak?

[gray gazelle]

Calculus 4th edition.

[quick hornet]

no

[gray gazelle]

non?

[cursive orbit]

spivak calculus should be read before rudin

[quick hornet]

no clue what "the infinite space between things" means\

are you doing analysis on the long line

if so, based

[cursive orbit]

lmao

[quick hornet]

but also not a good idea

[tulip blade]

Analysis on the short line

[gray gazelle]

@quick hornet : https://www.amazon.com/gp/customer-reviews/R2ZLCDUQ0P99FW/ref=cm_cr_dp_d_rvw_ttl?ie=UTF8&ASIN=0914098918

[cursive orbit]

a lot of books teach you what a limit is

including spivak

[quick hornet]

that review feels pretentious

and it seems its entire recommendation is based on spivak not constructing ℝ

which like

really isnt necessary

despite what it says

[cursive orbit]

you definitely don't need to buy like 10 different books to learn this properly either

[quick hornet]

you can figure out how epsilon deltas work without knowing that ℝ actually exists