#book-recommendations

1 messages Ā· Page 221 of 1

golden salmon
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what is

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maybe volume 1

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but not volume 2

rare star
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hello, anyone has a book recommendation for discrete maths and complex numbers?

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about those subjects in particular

gray gazelle
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complex numbers

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ahlfors

quick hornet
gray gazelle
valid moth
gray gazelle
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discrete maths
Concrete Mathematics

muted hearth
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this stack was free :D

storm sleet
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Solid stack

hearty steppe
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Aye not bad

civic python
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Each of my math books is as thick as that stack is high.

hasty turret
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What books do you have?

prisma snow
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Free? Where do I go for free math books? Someone sign me up blob_cry

civic python
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jk

prisma snow
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Wow

tropic lion
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imagine having books lmao

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why so many mechanics books?

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you a mechE?

gray gazelle
graceful bridge
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I have 339 math books in my library šŸ˜Ž

amber lake
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any suggestion for matrix analysis books

graceful bridge
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Horn/Johnson for sure is the bible

amber lake
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okay thanks I got it

graceful bridge
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I also have Zhang - Matrix theory in my library, looks possibly more readable, and much shorter

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But Horn/Johnson I got recommended by a professor who works in matrix theory

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It's possible that H&J is best suited as a reference

amber lake
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My professor recommended the same book as you suggested. But i was facing some problem reading it. I will look for Zhang.
Thanks

graceful bridge
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Yes, I think I will start with Zhang myself when Im gonna learn more matrix theory/analysis

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Use H&J as a supplement when needed

muted hearth
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only one of them is strictly engineering mechanics though

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i am high schooler

muted hearth
karmic thorn
prisma snow
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Wow

graceful bridge
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@prisma snow University library for physical books. Libgen for digital books.

prisma snow
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Wow, thanks. Didn't know I could check out books from the library and just never return them.

muted hearth
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I'd love to get a university library membership if they weren't exorbitant prices for non students

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which I guess makes sense

dapper root
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Wtf is ā€œa course of higher mathematicsā€?

muted hearth
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Russian (translated) university sequence

dapper root
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Huh

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That’s potentially really good

graceful bridge
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I can rent books for a year, which is usually more than enough. But varies from place to place of course

muted hearth
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Calc 1 and intro analysis through linear algebra, group theory, DEs/PDEs, functional analysis

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meant to be math/theophys targeted, I did request it but was outreasoned for its potential personal value

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which is fair

silver herald
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Interesting....How much did you get these books for?

graceful bridge
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And if I need to look up something Ive read later, I would argue that a digital pdf is even easier for that purpose

muted hearth
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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

karmic thorn
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I've found that PDFs are good for quick reference and lookup, but straining for longer hours.

graceful bridge
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Yes, can't disagree with that

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Depends somewhat on what screen you use though

karmic thorn
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Fair. A part of the blame goes to the fact that I can get distracted more easily on the screen. šŸ˜›

graceful bridge
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Ye sure, the newest iPads have a very pleasing screen. You could turn off internet

silver herald
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Nice.

graceful bridge
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Or even turn off the router in your house šŸ˜†

muted hearth
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i anticipated that message doom

karmic thorn
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Lmao, fair.

muted hearth
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😠

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20 seconds per letter, smh

silver herald
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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.

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but I refrained

muted hearth
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you should if you want, many nerds about here

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will be over my head though

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they don't have amicablethink here and that's why Phys disc is superior

hasty turret
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You guys don't have hmmm

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Or thonkzoom

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Or sully

muted hearth
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I'm pretty sure we have sully

silver herald
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We lost sully a few weeks back due to our boosts falling off, otter

muted hearth
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oh

hasty turret
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Not high enough server level

muted hearth
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I would boost but I fucked up nitro redemption

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well we kept amicable so I am satisfied

silver herald
gray gazelle
hasty turret
sudden granite
coarse thunder
sudden granite
gray gazelle
static crest
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why is the gif pepe a lighter green

timber mesa
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maybe because a gif's color palette is limited

static crest
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that's too different I feel

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but idk

valid moth
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oh right doppler effect

static crest
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wot

valid moth
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the pepe is lighter green because the pepe is moving away from you

karmic thorn
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Redshift hyperthonk

hasty turret
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Greenshift

peak geode
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Hello, is the book "things to make and do in fourth dimension" factually correct?

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how is the book reviewed by the community?

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im very excited to read it!

hearty steppe
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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

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Very easy to develop misconceptions when you haven’t really learned pre-req concepts to really understand abstraction and complexity at the research level

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Also avoiding misconceptions when possible helps you avoid wasting more time

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Sometimes it’s 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 don’t know about you

gray gazelle
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what exactly is the 4th dimension lmao

hearty steppe
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If you have to ask that question, your going to most likely get an answer that’s way over your head

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Watch Carl Sagan’s Flat land video for an ok layman’s explanation

gray gazelle
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if you genuinely ask that question you should probably contact john gabriel or a licensed psychiatrist

hearty steppe
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Uh ok lol

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I think 3B1B might have a few videos on dimensions

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Numberphile has a few too

quick hornet
flint forge
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4D is very easy to picture

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take any 3D animation

elfin scarab
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Ok, what about 5D?

gray gazelle
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\infty-D

timber mesa
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Hausdorff dimension

flint forge
pine mist
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Any suggestions for Real Analysis Textbooks (self-study)?

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I am considering Baby Rudin, Apostol's Analysis volumes, Pugh's Real Analysis, Tao's two volumes

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But like I am not sure which one is the best for self-learning

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I could use multiple books

marble solar
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How comfortable are you with epsilon deltas?

hearty steppe
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@pine mist Start with Abbott

cobalt arch
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Can someone recommend me a book based off of my course?

pine mist
pine mist
marble solar
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Spivak's calculus might be a good start

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I'm partial to Pugh

hearty steppe
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I still chuckle a little about that time you said you are partial to Evans... lol

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Cause he is known for his PDE grad text xD

pine mist
cobalt arch
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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, Rolle’s theorem, mean value theorem, monotonicity, extrema, convexity and graph of a function.

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Pretty standard stuff I just need a good textbook

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With solutions preferably

pine mist
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I think Courant's covers it

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The solutions are in another book

cobalt arch
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Haven't heard it before is it good?

pine mist
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Yeah

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As good as Spivak's or Apostol's

cobalt arch
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Oh that good

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Well you might have found me a diamond

pine mist
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Probably, the three I mentioned cover all you said

cobalt arch
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Ty

pine mist
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But Apostol's doesn't have solutions

sage python
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Oh I've heard of Courant

pine mist
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Courant's solutions come in a book called "Calculus and Analysis" by Albert Blank

sage python
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It's supposed to be a lot older and has more applications than Spivak/Apostol right?

cobalt arch
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Is courant's exercises good?

hearty steppe
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Dami is there a single text you haven’t heard of? Lol

pine mist
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I am talking about the updated version from 1999 w/ some guy called John

pine mist
hearty steppe
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You seem to know every Analysis text to the moon and back

sage python
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Not really lol

cobalt arch
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I mean representative of the theory

hearty steppe
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xD

sage python
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I just know Rudin, Pugh, Kriz-Pultr, and Kolmogorov-Fomin in analysis mostly

pine mist
hearty steppe
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Oh I hear Fomin is a good advanced book

sage python
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(In like intro analysis, obv ignoring measure theory where my class didn't have a book so I was scrambling to find books)

hearty steppe
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Never heard of Kriz

cobalt arch
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Hm the options are too many:)

hearty steppe
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I think most people scramble in analysis cause probably 60% of students enrolled in the class don’t have much exposure to proof writing maybe?

cobalt arch
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It would be preferable for someone to tell me which book to use.

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Spivak is good

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But the exercises aren't many

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So I would prefer something with more exercises that covers the same material as spivak does

pine mist
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U can try Apostol's exercises

cobalt arch
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Hm yeah that is true but the book is 600 pages and I don't have enough time:(. I guess that is my fault:).

hearty steppe
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Also Diestel was not a good first read for Graph theory. I’m upset at everyone who mentioned that over Chartrand and Zhang’s Graph theory book or perhaps Voloshin

pine mist
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Just do the exercises

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U said u wanted exercises

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and just keep using Spivak's for theory

cobalt arch
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Yeah that is true but are there solutions?

pine mist
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oh, true. There aren't

cobalt arch
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:(

pine mist
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Then do Courant's

cobalt arch
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Ok

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Ty kori

pine mist
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But like did you do all Spivak's exercises already?

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Try them out, they are the hardest from the three classics

cobalt arch
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I see kori

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No I haven't done them

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I will try them out I am just short on time..

cedar mist
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anybody have good recommendations for an introductory textbook on computational biology? preferably something that doesn't expect a rigorous background in biology

hearty steppe
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Waterman, assuming you have a decent background in prob stat and some linear algebra

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Honestly man, just learn biology while learning the math you need to learn. There’s no way around that

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If you are going to be some sort of biologist, the expectation is you have some understanding of biology

fresh umbra
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What's a good book to self learn number theory?

sudden kindle
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what do you wanna learn in number theory?

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elementary nt? algebraic nt? analytic nt?

fresh umbra
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I basically want an intro to pure math, im in my first year of college doing a matSci degree

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So no real pure math has come up , I was initially interested in olympiad type problems

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But never gave an olympiad

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Also I don't know the difference in the kinds of nt u mentioned

sudden kindle
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maybe try The book of numbers by John Horton Conway

sudden kindle
karmic thorn
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Elementary Number Theory by David Burton might be a good starting point.

marble solar
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The first half is elementary number theory + some cool calculus estimates

sage python
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You should get sponsored by Apostol tbh

marble solar
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Ah yes the apostol estate

fresh umbra
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Thenks everyone

cobalt arch
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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?

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I am in desperate need for such a book

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I guess there isn't one angerysad

stray veldt
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multiple branches of math in a single book?

karmic thorn
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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).

cobalt arch
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I knew it but thank you angerysad

marble solar
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Linear algebra one is very good

cobalt arch
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Ty moonbear

cobalt arch
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A book that covers all of precalculus in a terse and formal manner?

sudden granite
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Basic Mathematics by Serge Lang is a great read.

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@cobalt arch

gray gazelle
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does anyone know is there an english translation of Grothendieck's diaries and writings on non-mathematical topics?

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I've managed to find only german translation from french

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I am particularly interested in "La Clef des Songes"

cobalt arch
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Thank you @sudden granite

sudden granite
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No problem.

sudden granite
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Lang is bae.

karmic thorn
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A good, slightly-rigorous book for multivar calculus?(Something more rigorous than Thomas', but lesser than Spivak's CoM would be nice)

gray gazelle
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Hubbard and Hubbard?

karmic thorn
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Will check it out, thanks!

hollow current
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probably Silverman

karmic thorn
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Will take a look.

karmic thorn
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It seems to cover lin alg, MVC, as well as some intro to forms.

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The first few pages I've read, it looks promising.

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@gray gazelle Ahlfors does have an Indian edition, without missing chapters. opencry

gray gazelle
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i may buy a copy

karmic thorn
gray gazelle
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complex hard so i might want a copy instead of going through the pdf all the time

karmic thorn
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Fair enough. I'm starting to prefer physical copies as well, but some books are just...

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I think a printer with low printing cost might be a more reasonable long term investment.

gray gazelle
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Ahlfors has missing chapters thonkeyes ?

hasty turret
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Indian edition

gray gazelle
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Did they lower the standard ?

hasty turret
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Prob

gray gazelle
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i bought an indian edition of a linalg book once and it was missing an entire chapter

hasty turret
gray gazelle
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cheap

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well

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got my money's worth

fathom flower
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F

calm crane
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use chinese editions

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they usually are like

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equivalent

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to the usual editions

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and also legal!

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well if you buy in mainland china

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excluding hong kong and macau and taiwan

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im not joking

hasty turret
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The legality part?

calm crane
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yes

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and the equivalent part

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the only difference is price and paper quality

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you get for super cheap for like kinda meh paper quality

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but who cares about paper quality XD

karmic thorn
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Same with Indian editions. tinktonk

calm crane
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somewhere in some fineprints it explicitly states no hong kong macau and taiwan as well

karmic thorn
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Apart from the usual disaster that Pearson does by deleting chapters.

calm crane
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so far my chinese springer editions came out as good as scihub springer edition

karmic thorn
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catThink That's neat.

calm crane
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so if you really want to drive the price super low get someone in china to buy it for you

karmic thorn
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Uh nice website, but it doesn't seem to have an English version.

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Springer is getting more reasonable with paperbacks over here as well, it's just the usual hardcovers which are expensive as hell.

calm crane
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ahh cool

gray gazelle
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Any recommendations for linear algebra book catThink

valid moth
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axler and hoffman kunze, use them interchangeably per section depending on which has a better treatment of the topic

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and hoffman kunze for determinants

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basically what i did

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axler doesn't do determinants well, but like— just get another source

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because aside from that, i liked axler's overall style and structure

hasty turret
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Or use Friedberg's book

novel iris
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great book imo

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I recently started the forms chapter

karmic thorn
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Yeah, it looks good so far!

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I started from a quick reading of chapter 0, I'll probably be sticking to the text linearly.

hollow current
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chapter 0

silver herald
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Vimes joke incoming

hollow current
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indexation from 1 is like am i joke to you

silver herald
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Oh come on - you can do better than that

hollow current
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but do i want to do so?

silver herald
gray gazelle
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At least the ones I've bought

karmic thorn
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They could be cheaper relative to other publishers, but they're still above my threshold to spend on books. ĀÆ\_(惄)_/ĀÆ

cobalt arch
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Is there a calculus book more rigorous than spivak or do I go into analysis next?

gray gazelle
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spivak is basically intro analysis lol

cobalt arch
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Can I do away with calculus and move into analysis instead?

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I mean is the material covered the same. If so do I need calculus at all?

hollow peak
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calculus and analysis cover different material

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just because you can prove basic calculus theorems doesn't mean you're actually proficient at the skills involved

graceful bridge
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Real analysis explains everything that's going on behind the scenes in calculus

cobalt arch
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That's what I mean

hollow peak
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it's good to know calculus first

cobalt arch
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In which branches is calculus used?

graceful bridge
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Yes, probably for exposure, but with the right choice of book it's not strictly necessary

cobalt arch
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And what would that book be?

graceful bridge
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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

cobalt arch
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Hm

gray gazelle
#

Hi
guys
Does anyone have a simple program like Daum Equation Editor?
No longer works due to flash

cobalt arch
#

Isn't the material covered in analysis the same as in calculus but in a more formal manner?

graceful bridge
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To understand the differences between calculus and analysis I would recommend Chapter 1 of Analysis 1 by Terence Tao

cobalt arch
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Does he explain that very distinction?

graceful bridge
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He explains this with some good examples.

cobalt arch
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I was more so thinking of something along the lines of baby rudin

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I have heard that tao is good but Rudin is the standard.

graceful bridge
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Yes, I have not read Rudin, but from what I've heard it's a hit or miss

cobalt arch
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I see

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So spivak would be the best for a rigorous exposition of calculus?

graceful bridge
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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

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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

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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

cobalt arch
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That is great to hear

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I really want to learn analysis

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And I am bored to death by calculus

graceful bridge
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I have actually planned to read Taos books from the beginning, and "relearn" all my analysis

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I agree, calculus is dead boring

cobalt arch
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I guess I need calculus for ODEs and chaos theory..

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Wait does analysis cover integrals and derivatives just in a more rigorous manner?

graceful bridge
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Yes, that's basically what real analysis does

cobalt arch
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If so I won't waste my time reading any calculus at all..

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I don't understand why the former is a prerequisite so to speak for the latter

graceful bridge
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It'

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It's a lot about tradition and history in the universities

cobalt arch
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Yeah I understand that

graceful bridge
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Calculus is always taught first, it's also to get a smoother transition to formal, proof-based mathematics

cobalt arch
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Are there any classes that I will need calculus for or am I good to go with analysis?

broken meadow
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presumably learning the mechanics of how something works before learning the theory is easier than doing both at once

cobalt arch
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Well the intuitive understanding you get from reading the theory behind that which you regurgitate is better I think in the long run.

broken meadow
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šŸ¤·ā€ā™€ļø

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there are ways to learn calculus mechanically that isn't just regurgitation but

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okay

cobalt arch
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I just don't enjoy calculus that is all haha

graceful bridge
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Okay, what makes you think that you will enjoy analysis? Not assuming anything, just asking

reef oar
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If you don't like calculus then why are you even remotely interested in ODE's

graceful bridge
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Btw, I think it's absolutely possible to hate calculus but enjoy real analysis

cobalt arch
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I think that chaos theory just sounds too appealing to me so that is the reason why I am interested in ODEs.

reef oar
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Obviously that's a personal opinion.

graceful bridge
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Yes, that was what I tried to say earlier, you will be more motivated and appreciate the theory more after taking calculus

reef oar
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I guess just take my statement then as a reinforcement then lol

graceful bridge
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But what have you done before @cobalt arch ?

cobalt arch
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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.

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Wdym:)?

graceful bridge
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Are you a math student or self-taught?

cobalt arch
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I am a math student

graceful bridge
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Okay, so you have formally taken a calculus course or what?

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Not that it matters, I was just curious

cobalt arch
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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.

graceful bridge
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Okay, I totally get you, I feel the same way about calculus (although I used a different book)

reef oar
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@cobalt arch I have a book recommendation if you're interested.

cobalt arch
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Hm I would like that:)

reef oar
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Real Analysis by Jay Cummings

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It's a really well written analysis book that I'm using to supplement my analysis course.

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He also just released a proofs textbook which is also very easy to read.

graceful bridge
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That seems really interesting @reef oar, I like the idea behind the book

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Will definitely try it

reef oar
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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.

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Like this one he made about proving √2 is irrational

graceful bridge
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Unfortunately it seems like it's not available online 😩 Or did I miss anything?

reef oar
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I got my copy from Amazon

cobalt arch
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Is the proofs book any good?

reef oar
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If that's available to you.

reef oar
cobalt arch
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Do you know of chartrand?

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The book is very well structured

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It has everything listed by proof technique.

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Really nice book

reef oar
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I was working from The Book of Proof but I didn't find it to be to my liking.

cobalt arch
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Try chartrand as well

hollow peak
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best analysis intro text is pugh

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I use pugh and supplement with rudin and kolmogorov

cobalt arch
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What didn't you like the book of proof?

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I will delve into Rudin because he is the gold standard

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Is it impossible to read Rudin as a first passing of real analysis?

hollow peak
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people who recommend rudin as a first pass are sadists

cobalt arch
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Haha

dapper root
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Make it out of the fire

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And you’re forged of steel

hollow peak
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it's true, but chances are you'll just absorb nothing because it's too difficult for a first pass usually

dapper root
#

ĀÆ_(惄)_/ĀÆ

hollow peak
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rudin is better at tempering analysis skills

reef oar
dapper root
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I find it hard to actually proceed through something without learning it

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A class sure

graceful bridge
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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

dapper root
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Because you’re moving before you should

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But if you’re moving on studying a book by yourself without understanding it you’re just screwing yourself over

hollow peak
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cummings' book has always sort of looked like a joke to me

dapper root
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That being said I didn’t use rudin I used the undergrad Folland which was also hard as shit but whatever

reef oar
cobalt arch
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I will use Rudin because I am masochistic

reef oar
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It's just supposed to be readable and accessible.

cobalt arch
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I don't know why it appeals to me so much. I guess the harder something is the better.

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I mean it comes down to taste and the like

reef oar
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I'm completely opposite. I like to be coddled for a little bit before I get absolutely spanked by an actual class.

cobalt arch
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Haha maybe you have been exposed to enough math to know

graceful bridge
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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

cobalt arch
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Is papa and grandpa Rudin up to par?

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I mean they are not comparable per se

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But are they the standard texts in the respective fields as baby Rudin is to real analysis?

graceful bridge
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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

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But if you think it's the one that will suit you best, then go ahead of course!

broken meadow
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fuck... i think my first pass is gonna be rudin next year

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let me check

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Rudin PMA 3rd edition

marble solar
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Rudin is fine

broken meadow
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is that the baby one

#

or the big one

marble solar
#

You can learn from it

#

Pugh is just better

broken meadow
#

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

cobalt arch
#

So pugh is considered the best text for real analysis?

graceful bridge
#

@broken meadow Strictly speaking you don't have to use the textbook listed in the course description

broken meadow
#

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

graceful bridge
#

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

broken meadow
#

i see

reef oar
#

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.

graceful bridge
#

Exactly, try to find a book with a very different approach, to complement the course book

broken meadow
#

good advice

#

i will do that

#

thank you :3

valid moth
#

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

novel iris
#

Agreed

#

Rudy’s polishes up his proofs and removes all the ā€œscaffoldingā€, a part important for students learning rigorous math for the first time angerysad angerysad

near adder
#

Abbott could be an alternative book for real analusis

crisp finch
#

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

marble solar
#

Apostol Analytic Number THeory

ripe granite
#

for contest math?

marble solar
#

For number theory

fair wing
#

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?

karmic thorn
#

A Walk Through Combinatorics, Miklos Bona.

gray gazelle
#

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

crisp finch
#

for contest math

#

i should've clarified that

#

mb

karmic thorn
#

AoPS?

crisp finch
#

i already read aops

#

thx for the kind suggestion tho šŸ™‚

karmic thorn
#

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.

crisp finch
#

ok

#

thx

cobalt arch
#

What is the best book for an intuitive understanding of calculus concepts?

gray gazelle
#

spivak good

cobalt arch
#

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

karmic thorn
#

Thomas'/Stewart?

broken meadow
#

Not stewart

karmic thorn
#

Thomas has some epsilon-delta problems in the chapter on limits.

broken meadow
#

please god no

#

Not Stewart

#

if you’re gonna use stewart only use it for problems i guess but even then just use something else

karmic thorn
#

Probably Problems in Mathematical Analysis by Demidovich might have what you're looking for.

cobalt arch
#

Oh

#

That sounds great

#

I will check it out

karmic thorn
#

I saw it pinned in one of the channels here.

broken meadow
#

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 😭

hollow current
karmic thorn
#

Goodluck! You can probably see that one MSE thread about becoming better at integration(the answers came from beasts like Ron Gordon).

broken meadow
#

oh

#

they’re still there?!? wow

#

nice

#

also yes i will ted

#

ty

karmic thorn
sage python
#

"beasts like Ron Gordon"

who?

karmic thorn
#

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.

sage python
#

I've used MSE but not on the integrals part so it makes sense that I don't know him lol

karmic thorn
#

Let me share a piece of his artwork lmao.

static crest
#

who was the dude who just posted the answer

#

to hard integrals on mse

#

with no steps

sage python
#

He puts dx at the beginning so his results aren't correct

static crest
#

ew I just noticed

#

cringe physicist

karmic thorn
#

Cleo has an answer to this one as well, people lost their minds over their answer lmao.

static crest
#

oh lmao

#

lmfao I scrolled down, I see it

#

what medical condition prevents you from writing your steps

ripe granite
#

bathmophobia

gray gazelle
#

bthmophobia

#

bath

#

keyboard

#

is fucking faulty

tight crag
#

Brave new world

cobalt arch
#

Can someone recommend me a book about real analysis that is rigorous and complete in its proofs?

karmic thorn
#

"Complete in its proofs"??

#

Do you want a book that leaves nothing as an exercise?

gray gazelle
#

it'd have to be about analysis over R, then

#

opencry.

karmic thorn
#

Pugh monkaS

#

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.

cobalt arch
#

Is tao that good?

#

In terms of what I want

karmic thorn
#

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?

cobalt arch
#

I guess that is impossible

#

I want to try Rudin

#

What I want more than anything is rigorousness.

karmic thorn
#

Sure, go for Rudin then.

cobalt arch
#

Okay ty

hollow current
#

@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"

warm sundial
#

hey does anyone have any book recommendations for mathematical analysis

gray gazelle
#

pugh

sudden granite
#

Epic, there is already a book recommendation for analysis

karmic thorn
#

Tao, Analysis 1.

warm sundial
#

okay

#

doesn't tao mean fuck in mandarin

gray gazelle
#

pugh is good but his writing style is a little unique

warm sundial
#

i'm pretty sure it does

sudden granite
#

It means path

karmic thorn
sudden granite
#

/route/road

restive raptor
gray gazelle
#

tfw world's best mathematician is named "fuck"

restive raptor
#

a course titled "analysis" can be anything between epsilon/delta calculus and measure theory

warm sundial
#

introduction, I haven't studied it before

karmic thorn
#

I like Tao's writing style for a beginner.

cobalt arch
#

Baby Rudin is the way

restive raptor
#

Baby Rudin is not good for someone who has done no analysis before imo

gray gazelle
#

tempted to sully

karmic thorn
#

Walks you through results, helps you build intuition, gives ample hints for the problems. The proofs are verbose but easy to understand.

restive raptor
#

I agree with Ted here. I've been really impressed with the parts of Tao I've looked at

hasty turret
sudden granite
#

Spivak?

hasty turret
#

Wrong Tao?

cobalt arch
#

Why does Rudin get such a bad rep:(

sudden granite
#

Does Spivak have an analysis book?

warm sundial
#

tao ni ma bi

karmic thorn
#

It's a good book, but not exactly the best starting point with better first options available.

gray gazelle
#

spivak calculus is intro analysis opencry

warm sundial
#

oh it is cao but pronounced tao

#

my bad

#

cao ni ma

gray gazelle
#

"cao ni ma" sully

warm sundial
#

yes

#

wo ba ni ma ma fang dao chuang shang cao fanta

#

don't google translate i only know a few phrases in mandarin

gray gazelle
warm sundial
#

guys i never thought there would be something called big pi in math

silk quartz
#

It's the multiplier operator. Similar to Big Sigma.

warm sundial
#

yeah ij think it is funny

cobalt arch
#

Big Papa Rudin

hasty turret
#

Papa Grandpa rudin

gray gazelle
#

sigh

#

daddy rudin

karmic thorn
#

Monke Rudin.

broken meadow
#

Father Rudin

warm sundial
#

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

hasty turret
#

Are you sure you are not the one being incompetent?

warm sundial
#

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

gray gazelle
warm sundial
#

i am competent in cs and i never said i was smart

#

you can find me calling myself stupid a lot actually

hasty turret
#

I mean,They suck at math

warm sundial
#

as that is what i consider myself

hasty turret
#

And is probably too immature

#

But,That doesn't affect their programming competence

wooden sparrow
gray gazelle
#

Just check the channel at least

warm sundial
#

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

silk quartz
#

Growth mindset ftw.

warm sundial
#

?

wooden sparrow
#

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

silk quartz
#

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.

broken meadow
#

that is very relieving to think about

#

why wasn't i told about this earlier 😠

sudden granite
#

You can always learn more (:

silk quartz
#

Growth mindset is super useful.

sudden granite
#

Now you know 😌

silk quartz
#

It insulates you from the downsides of failure, too.

#

Because failure is a learning opportunity.

sudden granite
silk quartz
#

It's a little strange, because gaming is -often- about growth mindset, but we don't really apply it to real life.

sudden granite
#

/utilize this knowledge

gray gazelle
warm sundial
#

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

coarse thunder
coarse thunder
sudden granite
#

Yeah, that is super dumb.

#

IT'S A WASTE OF TIME AND MONEY.

#

oh

coarse thunder
#

Yes

sudden granite
#

I had CAPS-LOCK on.

coarse thunder
#

LOL

sudden granite
#

šŸ˜›

coarse thunder
sudden granite
#

It happens.

coarse thunder
#

Yea it does

sudden granite
#

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?

warm sundial
#

i know

sudden granite
#

šŸ¤¦ā€ā™‚ļø

warm sundial
#

it seems absurd to me

#

like the dude got a 5.2 gpa in highschool

#

it seems like that is all he shoots for

sudden granite
#

Yeah.

warm sundial
#

he is just hooked on good grades not learning

sudden granite
#

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.

warm sundial
#

yeah

#

i disagree with the structure of schooling

sudden granite
#

Yeah.

warm sundial
#

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

sudden granite
#

šŸ˜•

#

Maybe book discussion isnt the place to talk about this lol

warm sundial
#

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

sudden granite
#

Yeah.

warm sundial
#

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

sudden granite
#

I hate that school is just busy work and memorization.

warm sundial
#

i agree, it is preparing you to have a job and just do whatever your employer says

sudden granite
#

Yeah.

#

That was important in the Industrial Revolution.

warm sundial
#

indubitably

#

i don't want to work anymore despite enjoying my job

#

just because work is so limiting

sudden granite
#

I can't imagine working at the same company doing the same monotonous work for the rest of my life.

warm sundial
#

yes

#

i have cool projects, i learn new stuff, but i am still on a paycheck to paycheck basis

sudden granite
#

There is still a lot of room for growth in your career thoguh.

warm sundial
#

i agree

#

but I incorporated my company last night

#

and i am hoping to pursue that

sudden granite
#

Nice!

#

That's awesome.

warm sundial
#

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

sudden granite
#

What book did you use to learn predictive algo's (got to tie this into #book-recommendations somehow šŸ˜† )

warm sundial
#

it helps you work with the libraries but also explains the pure math

sudden granite
#

Cool.

warm sundial
#

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

sudden granite
#

Your line of work is interesting.

warm sundial
#

yeah i enjoy it a lot

sudden granite
#

Very cutting edge stuff.

warm sundial
#

hopefully haha, we don't have any competitors just we have to get users

sudden granite
#

No competition?

#

Epic.

warm sundial
#

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

sudden granite
#

You work at an insurance company though, right?

warm sundial
#

yes I do

#

but the company I own is ML/psych research technically

sudden granite
#

Ah.

#

šŸ‘

warm sundial
#

yeah, for the insurance company I work with NLP primarily

#

I do some anti fraud stuff too

sudden granite
#

That's awesome.

#

What is your major?

warm sundial
#

yeah it's fun

#

I don't go to school

sudden granite
#

Are you planning to?

warm sundial
#

I'm not sure

#

I applied to be a Thiel fellow

sudden granite
#

Oh yeah.

warm sundial
#

but I am anxious for applying to college

sudden granite
#

Why?

warm sundial
#

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

sudden granite
#

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.

warm sundial
#

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

sudden granite
#

Hm.

warm sundial
#

yeah, I would have a better chance working at stanford than being a student there

sudden granite
#

Yeah true.

warm sundial
#

yeah

#

I studied at stanford during highschool

#

when my gpa was good lol

sudden granite
#

Yeah you told me.

#

😌

warm sundial
#

yeah

sudden granite
#

Stanford is cool.

warm sundial
#

i love it there

sudden granite
#

Their campus is really nice.

warm sundial
#

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

sudden granite
#

Lol.

warm sundial
#

yeah hahaa

#

I think one way I could get into a good school is reaching out to the professors I know asking for recommendations

sudden granite
#

I should probably apply to an MIT or Stanford course.

#

There is like a 99% chance I wouldn't get in.

warm sundial
#

yeah they have wonderful professors

sudden granite
#

Give sec, I have a math assignment that's due in 40 minutes but I have like 5 more questions left.

warm sundial
#

ahaha okay good luck

sudden granite
#

Thanks,

#

On the last question.

#

Ok I'm done @warm sundial.

warm sundial
#

welcome back

#

what do you study?

sudden granite
#

Very easy stuff at the end.

warm sundial
#

always nice

sudden granite
#

It was just boring trig stuff.

warm sundial
#

ah yes

sudden granite
#

Coterminal angles, refraction, special right triangles, etc

warm sundial
#

yeah nice

sudden granite
#

I was looking at MIT Beaverworks but I haven't taken a look at Stanford courses.

#

Are they very competitive to get into?

warm sundial
#

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

sudden granite
#

100,000 applicants?

#

Damn.

warm sundial
#

yeah

#

it was a google thing

#

so kinda different

sudden granite
#

.0003 acceptance rate

warm sundial
#

yeah

sudden granite
#

Aight aight ez right?

#

Yeahhhhh

warm sundial
#

yeah idk how I got in

sudden granite
#

I'm out lol.

warm sundial
#

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

sudden granite
#

Yeah.

warm sundial
#

so there were a lot of people applying

sudden granite
#

Do you know what Engineering Analysis is?

warm sundial
#

i've heard of it

#

but never studied that

sudden granite
#

Stanford offers a course but I don't know what it is.

warm sundial
#

yeah i feel like that has to deal with more the gateway between math and mechanical engineering?

sudden granite
#

Yeah.

#

I think I'll do that later lol.

warm sundial
#

all I can do with mechanics is souter boards

#

i can't spell

#

that

sudden granite
#

You need AP Calculus and AP Physics as prerequisites and I am taking those next year.

#

solder?

warm sundial
#

solder

#

fuck

#

i was off

#

physics is soo fun

sudden granite
#

It should be sodder.

river rock
#

Yes it is

#

I mean physics is fun

warm sundial
#

i enjoyed physics a lot despite never touching anything from it but vectors lol

sudden granite
#

I like physics a lot, but right now I am stuck in Chemistry.

warm sundial
#

i only liked chem because my teacher was great

sudden granite
#

Labs make Chem fun. Unfortunately no labs this year.

warm sundial
#

but our first week he was like memorize 20 elements for the table

sudden granite
#

Oh easy.

warm sundial
#

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

sudden granite
#

Hydrogen, Helium, lithium, berylium, boron, carbon, nitrogen, oxygen, fluorine, etc etc

warm sundial
#

i forgot all of it lol

sudden granite
#

I was bored in 5th grade so everyday I memorized 2-3.

warm sundial
#

my uncle recently died which sucks because i wasn't into science until after he passed

#

ahahaha

sudden granite
#

I'm sorry for your loss.

warm sundial
#

my uncle changed fruit flies sexuality

sudden granite
warm sundial
#

thank you, it was anticipated, cancer runs in the family

#

but yeah he got a lot of hate from the church

sudden granite
#

Oh that sucks man. My grandfather died of cancer too.

warm sundial
#

sorry for your loss

sudden granite
#

He passed away before I was born.

#

šŸ˜•

warm sundial
#

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

sudden granite
#

That's really cool.

#

My grandpa is really good at Chemical/Nuclear Engineering.

warm sundial
#

yeah my family has a long line of scientists and engineers

sudden granite
#

He was head of Nuclear Power in India.

warm sundial
#

oh that is very cool

#

my great grandfather designed the shell of the nuke on the manhatten project

#

died of radiation poisoning

sudden granite
#

Wow.

warm sundial
#

yeah super interesting

river rock
#

Well hello, I want to learn about higher dimensional shapes. I don't know where to start.

river rock
sudden granite
#

There is a photo of my grandfather outside Chernobyl without a mask KEK

warm sundial
#

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

sudden granite
#

Acute Radiation Syndrome is a terrible way to go. That's my worst nightmare.

warm sundial
#

it is horrific

warm sundial
#

yeah 185

sudden granite
#

Damn.

warm sundial
#

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

sudden granite
#

Wow.

warm sundial
#

ahahaha yes should we move?

sudden granite
warm sundial
#

ahahahaha

#

yes that is a lot

sudden granite
#

We have sent too many off-topic messages lmao.

warm sundial
#

ahahaha indeed we have

gray gazelle
sudden granite
#

We switched to DM's.

#

Do not worry mate.

#

@gray gazelle

#

Sully?

#

Does he have a book on Riemann Geometry?

gray gazelle
#

riemannian geometry...

sudden granite
sudden granite
#

There is no Riemannian Geometry book by Sully?

#

This is really sad @gray gazelle

full linden
#

calculus books?

karmic thorn
#

What are you looking for in a calculus book?(More rigour, more applications, a combination of both?)

full linden
#

@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

karmic thorn
#

Hmm, Spivak should give a solid foundation then.

full linden
#

Ok thank you very much!

karmic thorn
chrome crest
#

are there any good books to learn math? i don't know calculus, but i have some knowledge of linear algebra

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is this book considered good?

sudden granite
devout mist
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Does anyone have any recommendations for an intro to $F_2^n$?

hasty eagleBOT
devout mist
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or vector spaces over finite fields?

graceful bridge
sudden granite
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He sent a book for Linear Algebra so I think he wants a LA book

devout mist
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yup for linear algebra

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but I'd be curious for any other recommendations too

sudden granite
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I recommend browsing through #books-old and see what interests you

graceful bridge
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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

gray gazelle
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vector spaces over finite fields
it's called combinatorics, i recommend miklos bona's book

sudden kindle
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Vector spaces over finite fields flonshed

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Group actions on vector spaces over finite fields flonshed

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Fourier analysis on G invariant functions on vector spaces over finite fields flonshed

gray gazelle
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🄵

sudden granite
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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.

gray gazelle
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sounds like F_un

delicate canopy
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should i read only one book from the introductory book part or do they all cover slightly different topics?

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i'd like to get better at proof and problem solving

marble solar
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Is this not latex

broken meadow
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not latex? not reading it 😌

dapper root
marble solar
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Lol

quick hornet
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are you dissing the self-proclaimed Greatest Mathematician Since Archimedes?

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swine.

sudden granite
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@limber hollow

hasty turret
limber hollow
sudden granite
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What do you mean?

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This is a a good book on number theory.

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Maybe this book will motivate you to answer an age old question.

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Are there infinitely many sexy primes?

limber hollow
sudden granite
earnest gazelle
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is basic algebra by robert ash a good textbook?

gray gazelle
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go for it

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kiddin check it out

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Don't you have some book preview

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you're looking for it online right

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or have you seen a hardcopy of it

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like a book or buncho papers o it

earnest gazelle
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i bought it and have done chapter 1

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he looks really young to be a mathematician

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i got it in front of me

gray gazelle
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But do you have to be a certain age to be a mathematician?

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books are nice

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pretty pogs

earnest gazelle
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i dont know but plato said you gotta study math in all your 20's to become a philosopher king

gray gazelle
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This book?

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You have?

earnest gazelle
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yeah

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yes its in front of me

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paper copy

gray gazelle
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oh so not hte actual book?

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Just like copies of pages

earnest gazelle
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no i mean the actual book

gray gazelle
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right

earnest gazelle
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how does one read these books...ive been reading the same pages over and over until i get all the problems

gray gazelle
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Idk I just read books

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and answer questions

earnest gazelle
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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

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might do the longer ones afterwards

gray gazelle
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lmao

gray gazelle
sudden granite
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Oof, I can’t see what attachment that is on iPad for some reason

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I assume it’s the snip of Lang

gray gazelle
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it's like

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vey long messages

gray gazelle
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no

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these

gray gazelle