#book-recommendations
1 messages Ā· Page 221 of 1
hello, anyone has a book recommendation for discrete maths and complex numbers?
theres no books in #books-old
about those subjects in particular


discrete maths
Concrete Mathematics
Solid stack
Aye not bad
Each of my math books is as thick as that stack is high.
What books do you have?
Free? Where do I go for free math books? Someone sign me up 
jk
Wow

I have 339 math books in my library š
any suggestion for matrix analysis books
Horn/Johnson for sure is the bible
okay thanks I got it
I also have Zhang - Matrix theory in my library, looks possibly more readable, and much shorter
But Horn/Johnson I got recommended by a professor who works in matrix theory
It's possible that H&J is best suited as a reference
My professor recommended the same book as you suggested. But i was facing some problem reading it. I will look for Zhang.
Thanks
Yes, I think I will start with Zhang myself when Im gonna learn more matrix theory/analysis
Use H&J as a supplement when needed
was kinda a lucky dip
only one of them is strictly engineering mechanics though
i am high schooler
follow the blog of an ex mathematician who accidentally inherits a few hundred and very generously decides to give them all away

Wow
@prisma snow University library for physical books. Libgen for digital books.
Wow, thanks. Didn't know I could check out books from the library and just never return them.
I'd love to get a university library membership if they weren't exorbitant prices for non students
which I guess makes sense
Wtf is āa course of higher mathematicsā?
Russian (translated) university sequence
I can rent books for a year, which is usually more than enough. But varies from place to place of course
Calc 1 and intro analysis through linear algebra, group theory, DEs/PDEs, functional analysis
meant to be math/theophys targeted, I did request it but was outreasoned for its potential personal value
which is fair
Interesting....How much did you get these books for?
And if I need to look up something Ive read later, I would argue that a digital pdf is even easier for that purpose
the dozen I got? were free, the big rows of them all was the collection distributed to those who sought it out, me and many others
I've found that PDFs are good for quick reference and lookup, but straining for longer hours.
Fair. A part of the blame goes to the fact that I can get distracted more easily on the screen. š
Ye sure, the newest iPads have a very pleasing screen. You could turn off internet
Nice.
Or even turn off the router in your house š
i anticipated that message doom
Lmao, fair.
I was planning to type more regrading the books I want to buy soon since I am seeing the need to do more reference stuff for my upcoming projects and potential research stuff.
but I refrained
you should if you want, many nerds about here
will be over my head though
they don't have amicablethink here and that's why Phys disc is superior
I'm pretty sure we have sully
We lost sully a few weeks back due to our boosts falling off, otter
oh
Not high enough server level
I would boost but I fucked up nitro redemption
well we kept amicable so I am satisfied







why is the gif pepe a lighter green
maybe because a gif's color palette is limited
insert physics explanation due to movement and color perception
oh right doppler effect
wot
the pepe is lighter green because the pepe is moving away from you
Redshift 
Greenshift
ā¤ļø
Hello, is the book "things to make and do in fourth dimension" factually correct?
how is the book reviewed by the community?
im very excited to read it!
Never heard of it. My golden rule with any books that try to talk deep math and physics is not to read them anymore until my knowledge is at least relatively close to that level
Very easy to develop misconceptions when you havenāt really learned pre-req concepts to really understand abstraction and complexity at the research level
Also avoiding misconceptions when possible helps you avoid wasting more time
Sometimes itās better to wait a few years before touching some texts. Depends on how far you mature. My math maturity needs a lot of work, I donāt know about you
what exactly is the 4th dimension lmao
If you have to ask that question, your going to most likely get an answer thatās way over your head
Watch Carl Saganās Flat land video for an ok laymanās explanation
if you genuinely ask that question you should probably contact john gabriel or a licensed psychiatrist
Uh ok lol
I think 3B1B might have a few videos on dimensions
Numberphile has a few too

Ok, what about 5D?
\infty-D
Hausdorff dimension
a folder of uncountably many 3D animations
Any suggestions for Real Analysis Textbooks (self-study)?
I am considering Baby Rudin, Apostol's Analysis volumes, Pugh's Real Analysis, Tao's two volumes
But like I am not sure which one is the best for self-learning
I could use multiple books
How comfortable are you with epsilon deltas?
@pine mist Start with Abbott
Can someone recommend me a book based off of my course?
Moderately
Yeah, I am
I still chuckle a little about that time you said you are partial to Evans... lol
Cause he is known for his PDE grad text xD
Yeah, I have it along Courant's
Positive integers, induction, real numbers, operations, ordering, the concepts of supremum and infimum. Axiom of completeness,Ā n-th root function. Sequences, increasing and bounded sequences, sequences that converge to their supremum. Algebra of limits. Series of numbers, geometric series, absolute convergence, ratio test andĀ n-th root test. Definition of e, exponential and logarithmic function. Limit of a function, continuity of a function, algebra of limits and continuity of functions. Intermediate value theorem, derivatives, algebra of derivatives, geometric interpretation, differential, Rolleās theorem, mean value theorem, monotonicity, extrema, convexity and graph of a function.
Pretty standard stuff I just need a good textbook
With solutions preferably
Haven't heard it before is it good?
Probably, the three I mentioned cover all you said
Ty
But Apostol's doesn't have solutions
Oh I've heard of Courant
Courant's solutions come in a book called "Calculus and Analysis" by Albert Blank
It's supposed to be a lot older and has more applications than Spivak/Apostol right?
Is courant's exercises good?
Dami is there a single text you havenāt heard of? Lol
I am talking about the updated version from 1999 w/ some guy called John
I just know some xd
You seem to know every Analysis text to the moon and back
Not really lol
I mean representative of the theory
xD
I just know Rudin, Pugh, Kriz-Pultr, and Kolmogorov-Fomin in analysis mostly
Depends, I do the Spivak's ones
Oh I hear Fomin is a good advanced book
(In like intro analysis, obv ignoring measure theory where my class didn't have a book so I was scrambling to find books)
Never heard of Kriz
Hm the options are too many:)
I think most people scramble in analysis cause probably 60% of students enrolled in the class donāt have much exposure to proof writing maybe?
It would be preferable for someone to tell me which book to use.
Spivak is good
But the exercises aren't many
So I would prefer something with more exercises that covers the same material as spivak does
U can try Apostol's exercises
Hm yeah that is true but the book is 600 pages and I don't have enough time:(. I guess that is my fault:).
Also Diestel was not a good first read for Graph theory. Iām upset at everyone who mentioned that over Chartrand and Zhangās Graph theory book or perhaps Voloshin
Just do the exercises
U said u wanted exercises
and just keep using Spivak's for theory
Yeah that is true but are there solutions?
oh, true. There aren't
:(
Then do Courant's
But like did you do all Spivak's exercises already?
Try them out, they are the hardest from the three classics
anybody have good recommendations for an introductory textbook on computational biology? preferably something that doesn't expect a rigorous background in biology
Waterman, assuming you have a decent background in prob stat and some linear algebra
Honestly man, just learn biology while learning the math you need to learn. Thereās no way around that
If you are going to be some sort of biologist, the expectation is you have some understanding of biology
What's a good book to self learn number theory?
what do you wanna learn in number theory?
elementary nt? algebraic nt? analytic nt?
I basically want an intro to pure math, im in my first year of college doing a matSci degree
So no real pure math has come up , I was initially interested in olympiad type problems
But never gave an olympiad
Also I don't know the difference in the kinds of nt u mentioned
maybe try The book of numbers by John Horton Conway
oh then i have no idea what olympiad type problems include cause i never did that
Elementary Number Theory by David Burton might be a good starting point.
Apostol Intro to Analytic Number Theory
The first half is elementary number theory + some cool calculus estimates
You should get sponsored by Apostol tbh
Ah yes the apostol estate
Thenks everyone
Any books that cover a substantial amount of branches of math with full solutions to exercises or series of books like the springer ones or the schaums outlines?
I am in desperate need for such a book
I guess there isn't one 
multiple branches of math in a single book?
Princeton Companion and Mathematics and its History are two such books, but afaik the former is not a textbook, and the latter has greater emphasis on historic development(and probably doesn't contain solutions either).
I knew it but thank you 
Schaum's Outlines of various subjects. Discrete Math, PDEs, etc.
Linear algebra one is very good
A book that covers all of precalculus in a terse and formal manner?
does anyone know is there an english translation of Grothendieck's diaries and writings on non-mathematical topics?
I've managed to find only german translation from french
I am particularly interested in "La Clef des Songes"
Thank you @sudden granite
No problem.
Lang is bae.
A good, slightly-rigorous book for multivar calculus?(Something more rigorous than Thomas', but lesser than Spivak's CoM would be nice)
Hubbard and Hubbard?
Will check it out, thanks!
probably Silverman
Will take a look.
It seems to cover lin alg, MVC, as well as some intro to forms.
The first few pages I've read, it looks promising.
@gray gazelle Ahlfors does have an Indian edition, without missing chapters. 

complex hard so i might want a copy instead of going through the pdf all the time
Fair enough. I'm starting to prefer physical copies as well, but some books are just...
I think a printer with low printing cost might be a more reasonable long term investment.
Ahlfors has missing chapters
?
Indian edition
Prob
i bought an indian edition of a linalg book once and it was missing an entire chapter
Why did you buy an indian edition?
F
use chinese editions
they usually are like
equivalent
to the usual editions
and also legal!
well if you buy in mainland china
excluding hong kong and macau and taiwan
im not joking
The legality part?
yes
and the equivalent part
the only difference is price and paper quality
you get for super cheap for like kinda meh paper quality
but who cares about paper quality XD
Same with Indian editions. 
somewhere in some fineprints it explicitly states no hong kong macau and taiwan as well
Apart from the usual disaster that Pearson does by deleting chapters.
so far my chinese springer editions came out as good as scihub springer edition
That's neat.
http://www.china-pub.com
the main source seems to be from here
so if you really want to drive the price super low get someone in china to buy it for you
Uh nice website, but it doesn't seem to have an English version.
Springer is getting more reasonable with paperbacks over here as well, it's just the usual hardcovers which are expensive as hell.
ahh cool
Any recommendations for linear algebra book 
axler and hoffman kunze, use them interchangeably per section depending on which has a better treatment of the topic
and hoffman kunze for determinants
basically what i did
axler doesn't do determinants well, but likeā just get another source
because aside from that, i liked axler's overall style and structure
Or use Friedberg's book
Hubbads seems to be exactly what you're looking for
great book imo
I recently started the forms chapter
Yeah, it looks good so far!
I started from a quick reading of chapter 0, I'll probably be sticking to the text linearly.
chapter 0
Vimes joke incoming
indexation from 1 is like am i joke to you
Oh come on - you can do better than that

Springer hardcovers are on average cheaper than other publishers
At least the ones I've bought
They could be cheaper relative to other publishers, but they're still above my threshold to spend on books. ĀÆ\_(ć)_/ĀÆ
Is there a calculus book more rigorous than spivak or do I go into analysis next?
spivak is basically intro analysis lol
Can I do away with calculus and move into analysis instead?
I mean is the material covered the same. If so do I need calculus at all?
calculus and analysis cover different material
just because you can prove basic calculus theorems doesn't mean you're actually proficient at the skills involved
Real analysis explains everything that's going on behind the scenes in calculus
That's what I mean
it's good to know calculus first
In which branches is calculus used?
Yes, probably for exposure, but with the right choice of book it's not strictly necessary
And what would that book be?
Basically one that doesn't assume much knowledge from calculus. I'll have to look into it. Abbott - Understanding analysis is a popular entry-level book
Hm
Hi
guys
Does anyone have a simple program like Daum Equation Editor?
No longer works due to flash
Isn't the material covered in analysis the same as in calculus but in a more formal manner?
To understand the differences between calculus and analysis I would recommend Chapter 1 of Analysis 1 by Terence Tao
Does he explain that very distinction?
He explains this with some good examples.
I was more so thinking of something along the lines of baby rudin
I have heard that tao is good but Rudin is the standard.
Yes, I have not read Rudin, but from what I've heard it's a hit or miss
It's the most popular. I just read a bit in the preface of Tao's analysis book, and I don't actually think he assumes much knowledge from calculus. But maybe you'll be more "motivated" after taking calculus, to understand what's really going on
I think one reason that calculus is always taught first, is that many students will not go any further, they only need the calculus methods for their further studies in things like engineering, chemistry, biology etc, but it's not so important to understand the fundamental theory behind
If you know for certain that you will proceed with higher mathematics, I don't see any reason why you can't try to jump straight to analysis
That is great to hear
I really want to learn analysis
And I am bored to death by calculus
I have actually planned to read Taos books from the beginning, and "relearn" all my analysis
I agree, calculus is dead boring
I guess I need calculus for ODEs and chaos theory..
Wait does analysis cover integrals and derivatives just in a more rigorous manner?
Yes, that's basically what real analysis does
If so I won't waste my time reading any calculus at all..
I don't understand why the former is a prerequisite so to speak for the latter
Yeah I understand that
Calculus is always taught first, it's also to get a smoother transition to formal, proof-based mathematics
Are there any classes that I will need calculus for or am I good to go with analysis?
presumably learning the mechanics of how something works before learning the theory is easier than doing both at once
Well the intuitive understanding you get from reading the theory behind that which you regurgitate is better I think in the long run.
š¤·āāļø
there are ways to learn calculus mechanically that isn't just regurgitation but
okay
I just don't enjoy calculus that is all haha
Okay, what makes you think that you will enjoy analysis? Not assuming anything, just asking
If you don't like calculus then why are you even remotely interested in ODE's
Btw, I think it's absolutely possible to hate calculus but enjoy real analysis
I think that chaos theory just sounds too appealing to me so that is the reason why I am interested in ODEs.
I'm not a fan particularly of how I was taught calculus but I feel like you have to have had some interest in the material to have any sort of appreciation for real analysis.
Obviously that's a personal opinion.
Yes, that was what I tried to say earlier, you will be more motivated and appreciate the theory more after taking calculus
I guess just take my statement then as a reinforcement then lol
But what have you done before @cobalt arch ?
I think that I will enjoy analysis because I will get to know what something actually is while not reading obfuscated information peppered with all the jargon that calculus is.
Wdym:)?
Are you a math student or self-taught?
I am a math student
Okay, so you have formally taken a calculus course or what?
Not that it matters, I was just curious
Yeah I have but I have been in a rough spot these past couple years and it has been hard but I am getting back to it. I am reading spivak's calculus and although I enjoy it the exposition seems very disjointed and unnerving. So that is why I want to learn real analysis. Because everything is clear and to the point.
Okay, I totally get you, I feel the same way about calculus (although I used a different book)
@cobalt arch I have a book recommendation if you're interested.
Hm I would like that:)
Real Analysis by Jay Cummings
It's a really well written analysis book that I'm using to supplement my analysis course.
He also just released a proofs textbook which is also very easy to read.
That seems really interesting @reef oar, I like the idea behind the book
Will definitely try it
I will say that the dude is kind of quippy so he has some footnotes that he'll insert from time to time to either expand on an idea or take an opportunity to make some sort of math joke.
Like this one he made about proving ā2 is irrational
Unfortunately it seems like it's not available online š© Or did I miss anything?
I got my copy from Amazon
Is the proofs book any good?
If that's available to you.
So far I really like it.
Do you know of chartrand?
The book is very well structured
It has everything listed by proof technique.
Really nice book
I was working from The Book of Proof but I didn't find it to be to my liking.
Try chartrand as well
best analysis intro text is pugh
I use pugh and supplement with rudin and kolmogorov
What didn't you like the book of proof?
I will delve into Rudin because he is the gold standard
Is it impossible to read Rudin as a first passing of real analysis?
people who recommend rudin as a first pass are sadists
Haha
it's true, but chances are you'll just absorb nothing because it's too difficult for a first pass usually
ĀÆ_(ć)_/ĀÆ
rudin is better at tempering analysis skills
I'm not sure I can nail down specifically why I didn't like it. I think sometimes his examples may not have been fleshed out enough for me to latch on.
I find it hard to actually proceed through something without learning it
A class sure
Hmm Cummings' book does have great reviews on Amazon, I never buy physical books but maybe I will this time since it's also very cheap
Because youāre moving before you should
But if youāre moving on studying a book by yourself without understanding it youāre just screwing yourself over
cummings' book has always sort of looked like a joke to me
That being said I didnāt use rudin I used the undergrad Folland which was also hard as shit but whatever
I see
I enjoy it. It certainly isn't Rudin but honestly it's not trying to be.
I will use Rudin because I am masochistic
It's just supposed to be readable and accessible.
I don't know why it appeals to me so much. I guess the harder something is the better.
I mean it comes down to taste and the like
I'm completely opposite. I like to be coddled for a little bit before I get absolutely spanked by an actual class.
Haha maybe you have been exposed to enough math to know
I mean we should just agree that we have different styles of learning. Im a big fan of trying different books and picking the one that suits me. And if it's fantastic I'll maybe even buy a physical copy
Is papa and grandpa Rudin up to par?
I mean they are not comparable per se
But are they the standard texts in the respective fields as baby Rudin is to real analysis?
The reason why I'm a bit sceptical to Rudin is that it's popularity probably comes from its long history, like many lecturers choose the book they used when they were students. But now there are dozens of great analysis books
But if you think it's the one that will suit you best, then go ahead of course!
fuck... i think my first pass is gonna be rudin next year
let me check
Rudin PMA 3rd edition
Rudin is fine
so would i benefit from like
reading from both pugh and rudin and just doing the psets that the prof gives me
i've heard many good things about pugh
So pugh is considered the best text for real analysis?
@broken meadow Strictly speaking you don't have to use the textbook listed in the course description
i see
not sure how these more advanced classes work when they say to use a book or sth
i think the professor assigns his own problem sets
so
im not really bound to a book right
like you said
Yes, students are often afraid to miss something for the exam and therefore use the suggested book
But I hate being told which pages to read, which exercises to solve, it'
it's so uninspiring
i see
It's sometimes helpful, if you do choose to use the book listed for the course, to supplement it with something else.
It can help fill in deficiencies of information between texts.
Exactly, try to find a book with a very different approach, to complement the course book
My personal holdup with Rudin is that my way of thinking meshes much better with e.g. how Pugh is written
Whereas for Rudin it's always a struggle, and not really in the good productive sense
On first reading I found the proofs to be slick rather than instructive
Agreed
Rudyās polishes up his proofs and removes all the āscaffoldingā, a part important for students learning rigorous math for the first time

Abbott could be an alternative book for real analusis
hi
any good books for competition math number theory?
advanced
like i heard awesomemath has a good book
has anybody here read it?
and did u like it
Apostol Analytic Number THeory
for contest math?
For number theory
i need some good combinatorics book. i know to work around the basics, but intuitively mapping the problem is hard for me in combinatorics.
any recommendations?
A Walk Through Combinatorics, Miklos Bona.
is there a calculus equivalent to Hefferon's linear algebra? most importantly I'm looking for some kind of supplementary material that teaches you how to use programming libraries to solve problems, verify answers. just some practical application, not just pen and paper. and not too dry. and with answers to problems
yea
for contest math
i should've clarified that
mb
AoPS?
I suppose that's kinda sufficient for olympiad? You could probably then advance into more of proper number theory with a book like Apostol, then.
What is the best book for an intuitive understanding of calculus concepts?
spivak good
Me bad
The delta epsilon definition of a limit is easy to visualize but I can't apply it to exercises..
Is there a book with many such problems?
That I could practice
Except for apostol and courant
Thomas'/Stewart?
Not stewart
Thomas has some epsilon-delta problems in the chapter on limits.
please god no
Not Stewart
if youāre gonna use stewart only use it for problems i guess but even then just use something else
Probably Problems in Mathematical Analysis by Demidovich might have what you're looking for.
ye russian boy
it Was
i think the pins in calculus channel vanished
anyway i need to start working on that for the coming integration bee or sth š
@broken meadow wym
Goodluck! You can probably see that one MSE thread about becoming better at integration(the answers came from beasts like Ron Gordon).

"beasts like Ron Gordon"
who?
If you've used MSE for a while, you probably know who Ron Gordon is.
He's a user known for solving extremely challenging integrals.
I've used MSE but not on the integrals part so it makes sense that I don't know him lol
Let me share a piece of his artwork lmao.
who was the dude who just posted the answer
to hard integrals on mse
with no steps
He puts dx at the beginning so his results aren't correct
Cleo
Cleo has an answer to this one as well, people lost their minds over their answer lmao.
oh lmao
lmfao I scrolled down, I see it
what medical condition prevents you from writing your steps

bathmophobia
https://phobia.wikia.org/wiki/Bathmophobia#:~:text=Bathmophobia is the fear of,down stairs or a hill.

Brave new world
Can someone recommend me a book about real analysis that is rigorous and complete in its proofs?
Pugh 
I don't know if there's any book which gives you everything, but Tao comes close, in the sense that proofs are accessible and the exercises have helpful hints.
It's the one I'm using presently, and I find it to be very gentle for beginners, compared to other analysis texts which I tried getting into.
I mean
You're not really expecting every result with its proof written down?
I guess that is impossible
I want to try Rudin
What I want more than anything is rigorousness.
Sure, go for Rudin then.
Okay ty
@cobalt arch vladimir zorich "Mathematical analysis"
it is rigorous
and have a lot of proofs as well as exercises
also nice book is bernd schroder's "mathematical analysis a consice introduction"
hey does anyone have any book recommendations for mathematical analysis
pugh
Epic, there is already a book recommendation for analysis
Tao, Analysis 1.
pugh is good but his writing style is a little unique
i'm pretty sure it does
It means path
Given that it's a book on analysis it might make some sense.
/route/road
what level are you doing analysis at?
tfw world's best mathematician is named "fuck"
a course titled "analysis" can be anything between epsilon/delta calculus and measure theory
introduction, I haven't studied it before
I like Tao's writing style for a beginner.
Baby Rudin is the way
Baby Rudin is not good for someone who has done no analysis before imo
tempted to sully
Walks you through results, helps you build intuition, gives ample hints for the problems. The proofs are verbose but easy to understand.
I agree with Ted here. I've been really impressed with the parts of Tao I've looked at
Spivak?
Wrong Tao?
Why does Rudin get such a bad rep:(
Does Spivak have an analysis book?
tao ni ma bi
It's a good book, but not exactly the best starting point with better first options available.
spivak calculus is intro analysis 
"cao ni ma" 
yes
wo ba ni ma ma fang dao chuang shang cao fanta
don't google translate i only know a few phrases in mandarin

guys i never thought there would be something called big pi in math
It's the multiplier operator. Similar to Big Sigma.
yeah ij think it is funny
Big Papa Rudin
Papa Grandpa rudin
Monke Rudin.
Father Rudin
oml
these devs are incompetent
so i listen to pop smoke an woo around the office
and now tell them to change everything they did and throw it out
Are you sure you are not the one being incompetent?
I manage the team I decide what incompetence is here
so we have tiers of callers, they had the tiers as an element instead of a key
which is just stupid
so like in a json {tier 1: [{}, {}, {}, tier 2: ...
you know
but they did [{tier, phone number, blah blah blah}]
which is just fucking stupid
because i have to take the tiers in groups and do things with all of them at once
so putting the tier as a key in a dict in an array and posting that to me is fucking dumb
and im not the incompetent one bc he did not argue at all and is changing it rn
maybe that's bc im his boss or it's that im god at code

You rant and flex your "skills" in #book-recommendations @warm sundial , how competent and smart are you
i am competent in cs and i never said i was smart
you can find me calling myself stupid a lot actually
I mean,They suck at math
as that is what i consider myself
To be conscious that you're ignorant, is a great step to knowledge -some Benjamin guy quoted on Spivak
Just check the channel at least
i like that quote
but yeah i am so afraid of dunning Kruger that i feel i always am at the initial peak
which is why i range from a god complex to impostor syndrome
and i fear the only way to cure this is to learn as much as I can, but the more I learn the more insignificant i feel
this perpetual loop i predict will encompass my life
Growth mindset ftw.
?
She meant, as long as you think you can improve yourself everyday, and not just assess your abilities as absolute to judge your confidence depending on that, you're good
I inferred that you feel insignificant because you don't know everything.
But under growth mindset, it's easier to recognize that not knowing everything is a normal state, and is a necessary precursor to knowing things.
So it's not a bad thing to not know. It's a bad thing to not -learn-.
As long as you're learning, you're doing good.
You can always learn more (:
Growth mindset is super useful.
Now you know š
It insulates you from the downsides of failure, too.
Because failure is a learning opportunity.
The world if everyone adopted a growth mindset ^
It's a little strange, because gaming is -often- about growth mindset, but we don't really apply it to real life.
Too many people don't know this
/utilize this knowledge
looks nice
a lot of people don't care for learning which i just don't understand
they just choose to exist
where is the fun and enjoyment there
for instance, my friend is a math major at yale who gets excited to take multi variable over again
he is excited because he already knows it and will get an A
I just wonder why he would waste his money on the class
Ok that's something stupid to do like why would u want to do something that you already know...rather take a new course or topic and learn something new.
I don't understand them either
Yes
LOL
š

It happens.
Yea it does
He has so many courses available at his disposal at an incredibly prestigious university, and he is retaking a class just because it helps his GPA?
i know
š¤¦āāļø
it seems absurd to me
like the dude got a 5.2 gpa in highschool
it seems like that is all he shoots for
Yeah.
he is just hooked on good grades not learning
It's kind of understandable though. He has worked for a high GPA his entire life and it's been ingrained that GPA is more important than doing something he enjoys.
Doesn't mean it's good though.
Yeah.
and everything that surrounds it
when i was in middle school i wouldn't show my work for really basic math, but i had interest in it, they then had me redo the year despite getting a B+ in the class
destroyed my interest
yeah maybe
but it caused me to be embarrassed of my studies, swaying me away from learning more, I didn't want to read the textbooks assigned to me during studyhall because i didn't want people seeing me read them
Yeah.
now that I am out of school I have learned so much more
and thankfully rebuilt my love for math
just sadly, due to those circumstances i am behind where I should be
I hate that school is just busy work and memorization.
i agree, it is preparing you to have a job and just do whatever your employer says
indubitably
i don't want to work anymore despite enjoying my job
just because work is so limiting
I can't imagine working at the same company doing the same monotonous work for the rest of my life.
yes
i have cool projects, i learn new stuff, but i am still on a paycheck to paycheck basis
There is still a lot of room for growth in your career thoguh.
yeah I am excited, we create quantifiable psychological models
and use predictive algo's on them
to help our customer better understand themselves
well not our customer, our users, we are data mining
What book did you use to learn predictive algo's (got to tie this into #book-recommendations somehow š )
well a bunch but a good one is https://www.amazon.com/Hands-Machine-Learning-Scikit-Learn-TensorFlow/dp/1492032646
it helps you work with the libraries but also explains the pure math
Cool.
yeah, i try to write my algos from scratch in C
i prefer to not use libraries
i feel they take some fun out of it
Your line of work is interesting.
yeah i enjoy it a lot
Very cutting edge stuff.
hopefully haha, we don't have any competitors just we have to get users
0 yes
but that makes it a bit confusing
people are trying to invest in the company, but i do not know how to value it
You work at an insurance company though, right?
yeah, for the insurance company I work with NLP primarily
I do some anti fraud stuff too
Are you planning to?
Oh yeah.
but I am anxious for applying to college
Why?
My grades weren't the best, I was struggling with depression, confused with my sexual orientation and all of that which set me back a bit
I assumed that the people reading my application would not understand how complex my work is
so I wouldn't gain any leeway there
I had a 4.2 freshman, 4.3 sophomore, then 2.1 junior and tested out
I think you still have a good chance.
You have a passion and have put in a lot of hard work and effort.
Which speaks for itself.
yeah but it is hard to show them that
and at a top tier research uni I am dubious they would really care
they would throw me out after seeing my transcripts
Hm.
yeah, I would have a better chance working at stanford than being a student there
Yeah true.
yeah
Stanford is cool.
i love it there
Their campus is really nice.
my first time smoking weed was there lol and the campus police came to me and my friends and said we can't smoke there, then offered to drive us somewhere that we could
Lol.
yeah hahaa
I think one way I could get into a good school is reaching out to the professors I know asking for recommendations
I should probably apply to an MIT or Stanford course.
There is like a 99% chance I wouldn't get in.
yeah they have wonderful professors
Give sec, I have a math assignment that's due in 40 minutes but I have like 5 more questions left.
ahaha okay good luck
Very easy stuff at the end.
always nice
It was just boring trig stuff.
ah yes
Coterminal angles, refraction, special right triangles, etc
yeah nice
I was looking at MIT Beaverworks but I haven't taken a look at Stanford courses.
Are they very competitive to get into?
Well I don't know exactly how hard they are to get into, for the course I took there were 30 kids with something like 100k applicants
.0003 acceptance rate
yeah
yeah idk how I got in
I'm out lol.
but that is once again different than their standard courses as it was a funnel into Google X
Like we had professors, took classes, but we also had a project we were working on to present to recruiters
if that makes sense
Yeah.
so there were a lot of people applying
Do you know what Engineering Analysis is?
yeah i feel like that has to deal with more the gateway between math and mechanical engineering?
You need AP Calculus and AP Physics as prerequisites and I am taking those next year.
solder?
i enjoyed physics a lot despite never touching anything from it but vectors lol
I like physics a lot, but right now I am stuck in Chemistry.
i only liked chem because my teacher was great
Labs make Chem fun. Unfortunately no labs this year.
but our first week he was like memorize 20 elements for the table
Oh easy.
and i didn't realize he said 20
so I learned all of them
and then was pissed
when i saw the quiz was 20 questions
bc i did it in a night j like staying up
Hydrogen, Helium, lithium, berylium, boron, carbon, nitrogen, oxygen, fluorine, etc etc
i forgot all of it lol
I was bored in 5th grade so everyday I memorized 2-3.
my uncle recently died which sucks because i wasn't into science until after he passed
ahahaha
I'm sorry for your loss.
my uncle changed fruit flies sexuality

thank you, it was anticipated, cancer runs in the family
but yeah he got a lot of hate from the church
Oh that sucks man. My grandfather died of cancer too.
sorry for your loss
yeah but he adjusted a neurochemical to change their sexuality
yeah that's unfortunate, my great grandpa died on the manhatten project when my grandpa was 2
yeah my family has a long line of scientists and engineers
He was head of Nuclear Power in India.
oh that is very cool
my great grandfather designed the shell of the nuke on the manhatten project
died of radiation poisoning
Wow.
yeah super interesting
Well hello, I want to learn about higher dimensional shapes. I don't know where to start.
WOAH
There is a photo of my grandfather outside Chernobyl without a mask 
That's cool
and then my grandfather had a full ride to a college, his mom hid it from him so he would go to the military and send back money
oh wow
he goes to the military and somehow has an iq of 185 which is absurd
Acute Radiation Syndrome is a terrible way to go. That's my worst nightmare.
it is horrific
185?!?!
yeah 185
Damn.
he was promoted to an officer
after the intelligence screening
no rotc or anything
then here's where i was going, they give him basic instruction on how to handle a nuke for the airforce, he comes back the next day and drew out the blueprints to build it
went to his CO and got special clearance as a 17 yr old 2nd lt
ahahaha yes should we move?
We have sent too many off-topic messages lmao.
ahahaha indeed we have
We switched to DM's.
Do not worry mate.
@gray gazelle
Sully?
Does he have a book on Riemann Geometry?
riemannian geometry...

calculus books?
What are you looking for in a calculus book?(More rigour, more applications, a combination of both?)
@karmic thorn Well, that's an hard question. I want to learn stochastic processes in the long run. Therefore, what would you recommend?
I have already ordered "How to prove it" tho
Hmm, Spivak should give a solid foundation then.
Ok thank you very much!

are there any good books to learn math? i don't know calculus, but i have some knowledge of linear algebra
is this book considered good?
Does anyone have any recommendations for an intro to $F_2^n$?
meow
or vector spaces over finite fields?
You should be specific about what you want a recommendation for. Linear algebra?
He sent a book for Linear Algebra so I think he wants a LA book
I recommend browsing through #books-old and see what interests you
Also, since there are so many options in linear algebra, it would be nice if you could be more detailed about what level you're at and what style of exposition you like
vector spaces over finite fields
it's called combinatorics, i recommend miklos bona's book
Vector spaces over finite fields 
Group actions on vector spaces over finite fields 
Fourier analysis on G invariant functions on vector spaces over finite fields 
What's a good Intro to Calculus book? I am going into APCalcBC next year and need something to introduce me to the concepts. I saw Calculus Basic Concepts by Tarasov but I don't like the conversation format.
should i read only one book from the introductory book part or do they all cover slightly different topics?
i'd like to get better at proof and problem solving
Is this not latex
not latex? not reading it š
Itās John Gabriel hahahahaha you shouldnāt read it anyway
Lol
are you dissing the self-proclaimed Greatest Mathematician Since Archimedes?
swine.

Are you making a statement here.
What do you mean?
This is a a good book on number theory.
Maybe this book will motivate you to answer an age old question.
Are there infinitely many sexy primes?

One step ahead of you on that front.

is basic algebra by robert ash a good textbook?
I mean if you're gonna buy a textbook from this guy
go for it
kiddin check it out
Don't you have some book preview
you're looking for it online right
or have you seen a hardcopy of it
like a book or buncho papers o it
i bought it and have done chapter 1
he looks really young to be a mathematician
i got it in front of me
But do you have to be a certain age to be a mathematician?
books are nice
pretty pogs
i dont know but plato said you gotta study math in all your 20's to become a philosopher king
no i mean the actual book
right
how does one read these books...ive been reading the same pages over and over until i get all the problems
i got this one since it was shorter than the others but still covered a lot of topics..i didnt want to have to do 70 problems for each part hah
might do the longer ones afterwards
lmao
what hte what
Oof, I canāt see what attachment that is on iPad for some reason
I assume itās the snip of Lang
bruh that ain't even logn
this right here

