#book-recommendations

1 messages · Page 239 of 1

karmic thorn
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Alright

gray gazelle
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ye

golden shore
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"Last time i lied" - I promise u'll like it

sacred swan
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I know I am a little late in the conversation but I definitely feel that starting with Linear Algebra is a good way to go. Personally, when I took it, I found it to be a good intermediate between things like high school math and that which you see in university. Idk where you are Math wise but I feel that it has utility and can be fun as well while still giving you enough time to explore some other topics that you may be interested. Those are just my two cents tho.

manic fox
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Hello, a little late in the conversation but I definitely feel that starting with Linear Algebra is a good way to go. Personally, when I took it, I found it to be a good intermediate between things like high school math and that which you see in university. Idk where you are Math wise but I feel that it has utility and can be fun as well while still giving you enough time to explore some other topics that you may be interested. Those are just my two cents tho.

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I'm mirza

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How do you do

thorny helm
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Any recommendations for algorithms analysis. I've had past experiences in doing it in highschool, and I want to understand more. At this point I just want to clarify a few things or see any books with some perspective on how you would go at analyzing algorithms with correct use of notation to help justify your point. An example would be even how I'd approach or set myself up to answer this question with reasonable english. I already can see from looking at the algorithm it will run n times but if there could be some recommendations for someone somewhat new (since this content is being covered in my uni course); i want to get a better grasp on it

night knot
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Algorithm Design by Kleinberg and Tardos

thorny helm
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Thank you

night knot
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No worries

thorny helm
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Also I'm guessing chapters 1-2 should give me a good intro - which will then help out for the later content like np, p complete problems etc

brittle marsh
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what do people think about using algebra:chapter 0 as a first book in abstract algebra

quick hornet
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i have many rants posted here about how much i dislike the text

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but some people really like it

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if youre gonna use it, at least supplement its problems with another source

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like Dummit and Foote or something

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since Aluffi's problems are a bit shallow

pale scarab
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Any good books that give a decent overview of nodern geometry? ( non euclidean, affine, projective etc) Or just any good modern geometry books in general

quick hornet
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how much abstract algebra do you have

pale scarab
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Basic undergrad level through some galois theory but willing to learn more

brittle marsh
quick hornet
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sounds like you have the prerequisites for fulton's Algebraic Curves

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which covers introductory classical algebraic geometry quite well, and sets up for a more modern viewpoint

pale scarab
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Nice ill check it out thanks

quick hornet
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for the differential/riemannian side (Which deals with stuff like curvature spaces and whatnot, so probably more familiar to what you mean by "non euclidean")

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consider Tu's Differential Geometry or Lee's Riemannian Manifolds

sudden kindle
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Theres Loring Tu's Differential Geonetry

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I'm reading this rn

quick hornet
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i think the latter expects you to know a bit of topology though

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and both require comfort with analysis of R^n

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(not like, the random integral theorems from calc 3 or whatever, just familiarity with the "feel")

sudden kindle
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Theres also eigenchris's videos on YouTube

gray gazelle
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tu's book is nice

sudden kindle
sage python
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Huh Tu has a full on diffgeo book

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I know about the smooth manifolds one and obv Bott-Tu

karmic thorn
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There's Coxeter's Introduction to Geometry as well.

gray gazelle
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tu's geometry is nice

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it seems like it has a lot of abstract nonsense though

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it has a lot of stuff

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and it's very clearly written

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coxeter sounds like the name of a mathematical object

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something like co and ext and something

sage python
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@gray gazelle wait wait wait

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He was able to turn diffgeo into abstract nonsense?

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Maybe this is my calling

earnest pivot
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what do u guys think about the Epp discrete mathematics book? ive heard good things about it

upbeat rapids
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I am not a mathematician but I am interested in the topics that are talked in the video. What book you might recommend for self-study (I am about to graduate physics so I am comfortable with linear algebra, calculus, vector calculus, etc.)?

narrow talon
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I honestly have not seen it, but it’s about incompleteness right?

karmic thorn
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Yes

karmic thorn
stray veldt
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i liked Ebbinghaus

karmic thorn
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Hmm, but they've probably not seen a lot of proofy math before.

narrow talon
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Definitely need to get into logic, if there’s a logician here I’m sure they could help but my logic friend recommended to me “Godel without too many tears”

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It’s freely available and I believe the author has another book on more basic logic

upbeat rapids
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Thanks for the suggestions. I'll check it.

balmy basin
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Does the recommendations here have to be math books only or can they be a book in a different field

willow pecan
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Math books primarily

gray hatch
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Could anyone suggests books on topics like calculus, geometry,algebra ?

gray gazelle
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High school level ?

gray gazelle
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Can anyone recommend me some good number theory textbooks for beginners?

willow pecan
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What background do you have

gray gazelle
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Precalc

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And high school basic calc

karmic thorn
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@gray gazelle

gray gazelle
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@karmic thorn thanks dude

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I almost bought Burton 😂 😂

karmic thorn
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I have Burton opencry

gray gazelle
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Is it any good?

karmic thorn
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I didn't read much really

gray gazelle
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I have heard lots of negative reviews

karmic thorn
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I don't like ENT itself though

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So I can't tell

gray gazelle
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I have some vague ideas about number theory

hasty turret
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Just learn elementary number theory via algebra

gray gazelle
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It sure is very intriguing

hasty turret
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ez

gray gazelle
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Via algebra?

hasty turret
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The way I learnt ENT is via random bits of info in discrete math and algebra textbooks

gray gazelle
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I am doing Discrete Math by Epp rn

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The text is written very clearly

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Very beginner friendly

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If you are a tryhard and can cope with algebra lmk i can share something catThink

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Sure@gray gazelle

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@gray gazelle i like this one

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Thanks bud

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Oops wrong one

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Sorry

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Lemme find it

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@gray gazelle

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Sorry again

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Xd

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Odd mix which is uhh something. Gl

hasty turret
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Also,Is that an IP address?

gray gazelle
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No

jovial stream
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Does anyone have any recommendations for some precal/calculus word problem textbooks/workbooks?

karmic thorn
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For calculus, any general textbook will usually have lots of problems. Thomas' Calculus is one such book.

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For precalculus, you could probably look at the book by OpenStax.

jovial stream
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Thanks, I’ll give them a look

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Do such problems require you to graph and use tangents and secants?

karmic thorn
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Really depends on the problem, but graphs of trigonometric functions would be reasonably covered in precalculus I guess. catshrug

jovial stream
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Ok 👌

fossil island
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How much can I get into Brin and Stuck without knowing measure theory?

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@gray gazelle

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ok thanks

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it might be too abstract for me tbh

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yeah i tried the first chapter and they talk about measures and shit

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ok thanks

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it feels like 1.2 and 1.3 are very technical

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while im interested in the technical aspects id also like application

true veldt
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wait, where in brin and stuck did they talk about measures?

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first chapter eeveeThink

fossil island
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well they use it to set up examples

true veldt
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i didnt think there was any measure theory in it

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but maybe i just missed that example

fossil island
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i think ill just look at the examples that make sense to me

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in the first section

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and then just go to chapter 2

true veldt
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tehres measure theory in the end ofthe book i guess, i didnt get that far

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I did chapters 1,2,3,5,7 and dont know measure theory

fossil island
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ok, i guess they just mention it for people who know it

true veldt
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The book is hard in that the book will casually brush over some details that may be trivial, and some details that are insane

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What ultra

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I wanna know too

fossil island
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makes sense

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im mostly interested in continuous time dynamics

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but ill definitely try parsing the other ones

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and then i just skip everything that has the word ergodic

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this is where most application is, right?

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this book seems terse in general

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any other book you'd recommend to read alongside?

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i was looking at wiggin's book

willow pecan
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"If you're interested in ODE you should read an ODE book"

fossil island
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i mean what other dynamical systems have application

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im interested in mathematical biology

willow pecan
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What sort of math bio

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Infectious disease dynamics?

fossil island
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more molecular

willow pecan
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Human population dynamics

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Computational chemistry?

fossil island
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maybe?

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im interested in mechanism

willow pecan
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What mechanisms

hasty turret
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Galliumically applied math is slightly less infectious

fossil island
willow pecan
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Ok

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Computational chemistry

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Ummmm

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Not really

fossil island
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well i know stochastic dynamics is one route

willow pecan
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Yeah stochastic processes matter

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But you don't really study them from an ergodic perspective

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What does ergodic theory have to say about brownian motion

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Ergodic theory is about deterministic dynamical systems, right?

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Any system with quantum effects won't be deterministic

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Chemical reactions are not memoryless

fossil island
gray gazelle
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What if you're a chemist and you need to know how many times to swirl your beaker with 2 chemicals in it?

willow pecan
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Chemical reactions are also not deterministic

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There are many pathways that happen

fossil island
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but a molecule doesnt remember which pathway it took to be transformed into another?

willow pecan
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If you're a chemist and you want to know how many times to swirl your beaker, you swirl it and do spectroscopy to measure concentration differences

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To be clear, I'm not saying that ergodic theory is useless for biochem and stuff

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Dynamics as a whole definitely isn't useless

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But

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I'm not sure it answers questions that biochem people care about

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Markov chains are for memoryless systems which I only brought up because of the Hairer notes you linked

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A lot of modern work in this area is incorporating quantum effects

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But also

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These fields are experimental

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And until these methods start giving predictions that can be experimentally validated/rejected, I don't see them being super impactful

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Sure

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And most biologists don't care at all about math bio stuff

fossil island
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what's the actual difference between math bio and computational bio?

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is comp bio more bioinformatics stuff?

willow pecan
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There are substantial cultural differences between math and bio

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Comp bio and math bio are pretty close

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I don't think there's a clear divide

fossil island
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they probably feed into one another

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though math bio is probably more theoretical

willow pecan
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Yes

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Those sound good

fossil island
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ok dope

willow pecan
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This is an interesting blog post

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Touching on some of the cultural differences I mentioned

willow pecan
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Yes we were talking about mixing

narrow talon
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Which is hard

willow pecan
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Well it isn't hard for chemists

narrow talon
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Haha I guess

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For mathematicians though

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Nontrivial

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Not hard to find books on though, there’s a few people at NYU and I think UTAustin that specialize in mixing times (don’t quote me on Austin though)

willow pecan
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Mathematicians: I'm going to write a book about mixing
Biologists: I'm going to use a magnetic stirrer to mix my solution

fossil island
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math takes years to understand mixing

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biologists: stir bar go brrr

willow pecan
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Anyways

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An area that is of interest to math and non-math people is numerical techniques for quantum systems

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This comes up in areas like quantum/computational chemistry

fossil island
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for this

willow pecan
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You may look at work being done by Lin Lin at Berkeley

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Certainly physical chem is necessary

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You also need to be familiar with QM

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Or

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Should I guess

fossil island
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see i cant tell whether i should just focus on the math part and do related science classes on the side

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or vice versa

willow pecan
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Both are important

gray gazelle
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Anyone seen a reproducing kernel hilbert space before? Papers, books, blogs on applications, importance, basically anything would be helpful.

narrow talon
gray gazelle
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@narrow talon Yes

hearty steppe
normal heart
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do u guys have some some book recommendations about the topics I need to learn to get into AI?

fossil island
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AI is fairly self contained

willow pecan
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Linear algebra

fossil island
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depends what he means by ai

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if they mean machine learning algorithms, then yeah

willow pecan
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He?

broken meadow
fossil island
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i saw joker

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it's a fair assumption

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lol

broken meadow
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i am a slab of metal

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Try me

fossil island
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ok me/tal

vocal wedge
compact cypress
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what's a good starting point for axiomatic set theory (if that's the correct term)

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yeah pretty much

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no

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ZFC

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and other forms which I'm not actually aware of but would like to read up on

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right, I have no idea how I missed that channel haha

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I think I found a suitable text: A Course on Set Theory by Ernest Schimmerling

hearty steppe
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For one of the most beginner friendly analysis books, Abbott definitely does have some relatively challenging exercises from the get go

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the triangle inequality stuff is still kinda kicking my ass, but I suppose the structure of this book is to guide you by introducing concepts in the exercises. Not really my flavor of learning since I prefer being tested on stuff covered thoroughly in the chapter

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but Abbott does a way better job really easing you into analysis compared to any other book I've looked at that has been recommended here which I would consider a more unforgiving exposure to analysis and I just can't recommend anyone touch those books without looking at Abbott if your new to math.

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not even linear algebra exposure will save you from the intimidating nature of the psets you will encounter in a first exposure analysis course, just a heads up.

gray gazelle
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triangle inequality monkagigagun

hearty steppe
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Just dive into it, and forgive yourself for sucking so much at solving the problems initially, I guess thats my way of saying "this is how you learn analysis". You will suck, really bad at trying to solve these problems in the beginning but things will turn out better with more exposure.

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At least I'm telling myself this as I'm learning because, nothing will really prepare you to not suck at your first analysis psets

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:\

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Basically imagine learning a math course but playing dark souls at the same time. At least its not a video game this time and you have more motivation to get through it.

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I guess... Maybe I wasted a lot of time spending too much time on Velleman psets but I wasn't sure.

compact cypress
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where does the ass-kicking begin in Abbott?

hearty steppe
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so many people made analysis seem intimidating but your going to get your ass kicked in analysis regardless how much you try to prepare

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meh sort of in the preliminary psets depending on how good your proof knowledge is. If you just got done with a proofs book, it won't save you.

gray gazelle
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analysis bad catYikes

willow pecan
gray gazelle
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except for the kind of analysis ange and ryc do, of course

willow pecan
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Lol rip slime

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And dami

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And gomez

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And young smasher

compact cypress
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yo this doesn't look that bad at first glance

willow pecan
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And tuong

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And doubledual

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And anatole

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And bacono

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And derivada

sage python
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TTerra my math is closer to what you're interested in than that of ange and ryc smh

compact cypress
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but i've already been through analysis so yeah i can imagine the panic had this been my very first exposure

sage python
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Also damn there is an actual analysis group in this server now huh

ripe granite
sage python
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I didn't know about young smasher, tuong, and derivada

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Brofibration what about the Langlands program

ripe granite
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young smasher does func anal I think

willow pecan
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Yeah young smasher is an analysis grad student

sage python
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Oh huh, wasn't on my radar. Or I forgot one of the two

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Also Ultraproduct I guess does analysis\cap logic

willow pecan
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Tuong also leans functional analysis

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Derivada does dynamics

sage python
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Nice nice

ripe granite
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dynamics

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cros

sage python
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Hmm?

willow pecan
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I don't really get dynamics

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Like either you have continuous dynamics

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Where you just have odes/pdes

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Or you have discrete dynamics

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Which are discretized odes/pdes

sage python
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I mean... topological dynamics, ergodic theory

willow pecan
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Ergodic theory is fancy markov chains

sage python
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Also even on continuous things sometimes you emphasize more the geometric properties than the analytical ones

willow pecan
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Shapes

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Oh no

ripe granite
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shapes

willow pecan
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Geometry and topology are shapes

sage python
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So there's an ODE/PDE lurking in the background but it's not at the forefront of what you're doing

ripe granite
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yes

willow pecan
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Is the ode/pde not useful

ripe granite
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shapes of commutative diagrams

gray gazelle
sage python
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Not that it's not useful but saying "you just have odes/pdes" suggests it's like

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THe point of what you're doing is the pde. But that's not necessarily what's up

gray gazelle
willow pecan
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tterra does physics now

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If you haven't heard

ripe granite
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tterra do physics

sage python
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Oh okay so your opinions don't matter anymore got it

willow pecan
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go tit

ripe granite
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go tit

gray gazelle
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go tit

willow pecan
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go titi

gray gazelle
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go titi

ripe granite
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go titi

gray gazelle
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my opinions never mattered dami

sage python
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God I'm looking back through that dynamics book from undergrad

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"Introduction to Dynamical Systems" by Brin and Stuck

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I wanna do it for real at some point tbh. But then I remember chapter 5

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We didn't even get that deep into it but it's quite something

ripe granite
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my diff eq class is using strogatz

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it is not a good book

sage python
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I remember I christened one theorem in there "The Juggernaut Theorem"

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"for any homeomorphism of a topological space" like fucking damn

ripe granite
willow pecan
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Strogatz is not a diff eq book

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What is going on

ripe granite
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idk

sage python
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It gets worse for sure

willow pecan
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Oh no

sage python
ripe granite
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it isnt a serious diff eq class

sage python
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Brin and Stuck pulling a Federer

ripe granite
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no analysis pre req

sage python
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Why are you taking that?

ripe granite
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to meet the diff eq requirement

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and declare major

willow pecan
sage python
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Why not petition to do a real class?

willow pecan
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Imagine having a diff eq requirement

ripe granite
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real diff eq class needs grad analysis

willow pecan
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An applied math major at Berkeley can graduate without knowing an ounce of differential equations

sage python
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Also yeah the only diffeq I had to deal with in undergrad was

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A tiny bit in calculus because Spivak's book talks about differential equations in the chapters on trig functions and exp/log

ripe granite
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that's the req im trying to meet

sage python
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Actually nah in second quarter analysis our prof spent 2 weeks on ODEs

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The psets were v painful

ripe granite
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the requirement is some class that does shit like y' = y

sage python
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Well I think we spent like, an hour total on it lol

willow pecan
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The solution is y=y^2/2

ripe granite
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and y'' + y' + y

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it's a part of the calc sequence

sage python
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Wait so is it just a part of the quarter or what?

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And wait hold on you're backtracking to take calc now?

ripe granite
sage python
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Lemme just pull up [REDACTED]'s math major requirements

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Oh so it is a full quarter of that then. Maybe take grad microlocal analysis and petition to count that instead

willow pecan
ripe granite
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all the grad diffeq/other analysis classes require the grad analysis sequence

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so I would need to do an entire year of analysis

sage python
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I guess if you're not too into the stuff then just having a roflclass isn't a bad idea

ripe granite
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before I do any of those

willow pecan
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Me with algebra

sage python
willow pecan
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This is true

sage python
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Now you might say

willow pecan
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Harmonic analysis is important for langlands

sage python
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"Wait am I doing Langlands?"

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The answer is yes

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I have decided

whole rain
sage python
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That you will do Langlands with me

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Welcome aboard

ripe granite
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🤨

whole rain
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you can't do nothing about it

ripe granite
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Dynamical systems analysis of nonlinear systems of differential equations. One- and two- dimensional flows. Fixed points, limit cycles, and stability analysis. Bifurcations and normal forms. Elementary geometrical and topological results. Applications to problems in biology, chemistry, physics, and other fields.

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that's the class im doing right now

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to meet this req

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First-order, linear differential equations; second-order, linear differential equations with constant coefficients; power series solutions; linear systems.

sage python
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Former looks much better than the latter lol

ripe granite
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ye

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it is not horrible

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the problems suck

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insanely boring

willow pecan
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Meme on the grader with riemann-hilbert correspondence

sage python
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Tbf in my analysis class the 2 weeks of ODEs were quite painful. Made me dislike the topic a lot lol

ripe granite
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it had the potential to be a good class

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like the topics are fairly interesting

ripe granite
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I would have taken the grad analysis path if I didnt have to declare major this quarter

willow pecan
sage python
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Ah

ripe granite
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I need to be a math major to apply for this combined masters thing

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if you get into the program, and do enough grad classes you get a masters

sage python
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Okay I found that really disgusting ODEs problem

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Let me see if I can find the whole pset tho

willow pecan
sage python
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Whatever here's the really bad problem lol

ripe granite
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cros

sage python
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Oh I just realized cros = gross

ripe granite
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no

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cros = cross

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= the cross emote

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@willow pecan

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oh wait

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we have it

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huh

sage python
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Ah

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Also wait you have to do diffgeo?

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I just found the ODE requirement but also noticed they require diffgeo

ripe granite
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yup

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but you can sub in the grad manifolds class

sage python
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I'm glad I didn't go there lol

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Oh oh okay that's fine then

ripe granite
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you have to meet all the requirements

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but theyre normally pretty flexible on what classes you use to meet them

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I used commalg to meet the lower div linear algebra req

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and a class on p-adics to meet the discrete math req

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I tried to get them to use the complex geo class to meet the diff eq req

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but they didnt agree

sage python
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Bully them harder

ripe granite
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lol

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b-but hodge decomp

sage python
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Do not stutter when you're bullying smh

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"Let me meet the diff eq requirement with complex geo or I'll meet the your face requirement with this knuckle sandwich"

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Anyway ima play some DRG for a bit then do spectral theory

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Because spectral theory ❤️

ripe granite
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I will go write a 9 page essay angerysad

willow pecan
hasty turret
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Can someone pin this?

broken meadow
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mhm

formal brook
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The Qua'ran

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And the Bible

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I recommend those two

quick hornet
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@formal brook the joke's gotten pretty tired and annoying by now

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please knock it off

still jay
#

What do people think about Halmos’ Linear Algebra Problem Book? I don’t know if I actually want to use it, but the premise seems very interesting

gray gazelle
#

hey guys! so i am taking the ocw course on linear algebra by strang but i cant find the accompanying book (intro to linear algebra) in my country's amazon page (well 1 is there but its really pricey) could someone please share if a pdf or an ebook of this book exists?thanks a ton

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check ||libgen||

karmic thorn
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Life In Books Generates Extreme kNowledge

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Dot ru

high tundra
#

Hello 👋, I want to ask if anyone knows some good books that are similar to A mathematicians apology by Hardy or a mathematicians lament by Lockhart, I’m looking more so a few books that really express the value and creativity of mathematics, any suggestions?

Is “letters to a young mathematician” a good book in that area?

gray gazelle
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not a book, but here is a short essay, by me:
fuck math education, it is a piece of shit!

slim peak
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Excuse me but except the mail order I didn't receive any mail. Could you tell me, please how many mail did you receive during your order ?

marble karma
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A rigorous calculus book?

narrow talon
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Spivak

slim peak
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Hmm, thanks

hearty steppe
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It’s a short read and personally it helped me be more motivated to dive straight into maths

feral pier
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books for complete beginners in maths please

karmic thorn
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What's your background, and do you have any particular reason for learning math?

manic fox
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le bad book has arrived

feral pier
karmic thorn
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Are you familiar with math at typical school level?

feral pier
gray gazelle
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btw, that wasn't a serious suggestion

karmic thorn
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@feral pier Okay, after some thinking I would suggest Khan Academy for a review of the math that you already know, and then see what else you like.

feral pier
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thanks

karmic thorn
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Once you have some basics under the belt you could possibly find something more interesting to learn

gray gazelle
slate quarry
# feral pier books for complete beginners in maths please

I was a complete beginner 6 moths ago (well... to be honest I'm still a complete beginner) when I started working through the book 'Algebra for college students' by Kaufmann & Schwitters. There is not such a thing like a perfect book, but (in my limited knowledge) this is a pretty good choice. It starts with basic concepts, properties and operations in the real numbers, and it ends with sequences and mathematical induction. So it covers quite a wide range of topics, and it has a lot problems at the end of every section and every chapter (and there are solutions to the odd number problems in the back of the book). Other option, if you are looking for free resources, could be a openstax book. I personally have not check them, but a lot of people say good thing about them... and they are free, so you don't lose anything if you want to give them a try.

sudden kindle
high tundra
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Thanks btw for those recommendations! @hearty steppe @gray gazelle

gray gazelle
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Ah, that was the full text, very short essay

half nexus
#

مسوووووووووووووووووووووووت

high tundra
gray gazelle
#

why doesnt serres books even have hints

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is it cause he assumes ur not stupid_

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but im stupid

fiery fossil
#

how can you not like harry potter

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its a lovely series

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one of the best

manic fox
#

author is cronge

fiery fossil
#

i meannn

willow pecan
#

The more you think about harry potter the more bad it is

fiery fossil
#

look i agree everyone has their own opinion but i think its really good

manic fox
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wtf ange said something correct

willow pecan
#

The plot's fine I guess

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The characters are interesting I guess

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The worldbuilding going on is a disaster

storm harness
storm sleet
#

Is Rotman AT any good? Or whats the best first course in AT? I've got a terms worth of topology under my belt, and a year worth of undergrad/1 term of grad real analysis to boot if that helps

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I also have some experience with differential forms

static crest
#

harry potter is pretty bad though

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but then again, probably like 0.000000001% of YA fantasy is good

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you can assume by default that if something is a YA fantasy, it is automatically trash

golden jetty
#

The silmarrilion

zealous jetty
sage python
zealous jetty
#

I first learned AT from Masseys book which is funny because it does cubical (co) homology and not simplicial (use cubes not simplices - same thing in the end though) ; the grad student teaching me at the time said "this is maybe an easier introduction because cubes are easier to think about!"
Cubes are easier to think about... Shikashi...

willow pecan
#

Cubes are easier to think about... Shikashi...

karmic thorn
willow pecan
#

Lang is bad

karmic thorn
manic fox
#

yes.

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the more you read it the worse it gets

willow pecan
#

QAQ

hollow galleon
#

RECOMEND The alloy of the law

vague star
#

Can someone tell me a very good book that will uncover lots of things about maths or science

quick hornet
#

like, a book written for a casual/layman audience?

karmic thorn
#

I've heard good things about Concepts of Modern Mathematics by Ian Stewart.

slow matrix
#

what math books is a must on bookshelves, at least for undergrad (or more) analysis and algebra ? like if you were to live without internet mostly (and hence no more libgen)

glad prairie
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probably like rudin and dummit&foote

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btw i just learned of this book, coming out soon

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it's aluffi's new algebra book

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designed for undergrad classes

slow matrix
#

is it called chapter 1?

glad prairie
#

no i guess it's chapter -1

#

anyway it's super weird

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it does rings, modules, and then groups, and then fields

karmic thorn
#

Aluffi is weird

glad prairie
#

it looks cool though

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i kind of like the idea

sage python
#

I feel like algebra books are oversaturated

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Like why are you writing another intro to algebra book write about some other topic which doesn't yet have a good book

slow matrix
#

I heard lot of books are formerly class notes? maybe might as well make them proper textbook?

glad prairie
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also like

sage python
#

But yeah for intro stuff... So the book on algebra that I decided to buy a physical copy of is Jacobson

glad prairie
#

aluffi's book is already

prisma snow
#

Rotman already exists. Algebra textbook writers can retire.

glad prairie
#

kind of an undergrad book

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the old one

karmic thorn
#

Knapp hype

glad prairie
#

so i don't really get it

sage python
#

Yeah I imagine given the weird order it's like

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Algebra for math ed

glad prairie
#

anyway just in general most algebra books feel quite dry to me and aluffi is one of the few i've read which doesn't feel like it was written by a robot

#

so i appreciate it

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even though i don't think the dryness is inherently bad when it exists

prisma snow
#

ryc has not read Rotman

sage python
#

Tbh I'm still of the opinion that if Artin/D&F are tough then you're just not ready for algebra yet

glad prairie
#

i have never heard of rotman

prisma snow
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Go explore the new world that has opened up to you

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You're welcome

glad prairie
#

ok well

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i'm doing D&F this summer

prisma snow
glad prairie
#

and it's fucking boring and easy

sage python
#

So I don't really see the point in writing easier algebra books. Unless it's almost explicitly targeted at non-math people

karmic thorn
#

Why

prisma snow
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Yes it's boring

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Do Rotman instead

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Not boring

karmic thorn
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Do Knapp

slow matrix
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maybe some people write more for themselves than for other people

glad prairie
#

there has been like 1 exercise out of the 80 or so that i've bothered to do that took me more than 2 minutes

slow matrix
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like writing to learn a particular topic

sage python
#

Read my review from forever ago lol

slow matrix
#

or just for self satisfaction

sage python
#

It's in pinned messages

glad prairie
#

honestly am just stunned that poros did all those fucking exercises

karmic thorn
#

Dami approves of Knapp hype

glad prairie
#

dami wrote some reviews

prisma snow
#

But you didn't review Rotman, so it is unbased.

glad prairie
#

they're probably BS

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but that's ok

karmic thorn
#

Rotman is too cringe to be listed

sage python
#

I don't have Rotman in there because I don't know it but I'm fine with that omission lol

prisma snow
#

Please stop the heresy.

sage python
#

Rotman overall is a good writer so I might glance at it but yeah basically my flowchart is

glad prairie
#

dami being like Stein and Shakarchi "rubs me the wrong way" somehow is all you need to know about the credibility of Dami's book reviews

prisma snow
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I'm going to write my own intro analysis textbook because they're all bad

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Algebra is fine because Rotman

sage python
#

I'm not the only one who's eh about S&S2 lol

prisma snow
#

I am eh about S&S2, very eh

glad prairie
#

who cares about complex analysis

sage python
#

His toy contour stuff is like, okay I get it but it's annoying

karmic thorn
#

MoonBears said 2 is the weak link in the series

glad prairie
#

it's the other books that matter

slow matrix
#

so what's the recommendation for analysis? rudin?

karmic thorn
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Tao

sage python
#

That was a complex analysis review thread lmao

glad prairie
#

lol

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tao

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pls

karmic thorn
#

Tao is good!

sage python
#

It was specifically S&S2

glad prairie
prisma snow
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Anything except Tao or Pugh. I only give antirecommendations.

karmic thorn
#

I antirecommend your reviews

glad prairie
#

i was going to do jacobson but the topics are weird

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like i'm trying to close up the gaps in my algebra knowledge

karmic thorn
#

Knapp Knapp Knapp

glad prairie
#

not learn some dumbass stuff

karmic thorn
#

Aluffi simp has arrived

glad prairie
#

i'm looking at knapp now

dapper root
#

:(

glad prairie
#

one moment

whole rain
#

check Knapp and Rotman maybe Ryc ? both are great imo

glad prairie
dapper root
#

I need to be asleep rn

whole rain
#

ah you already said you were checking knapp, sry too late

dapper root
#

Wtf is wrong with me

sage python
#

S&S1 is like, Fourier but you don't know anything yet. Which I guess is the same logic behind Guillemin-Pollack, like wow cool you can do these things without much background

glad prairie
#

am i supposed to be looking at knapp basic algebra or knapp advanced algebra

dapper root
#

Is that Stein and Shakarchi

sage python
#

But I'd probably prefer to just learn the measure theory and functional analysis then do Fourier full on

prisma snow
sage python
#

Basic probably

whole rain
#

basic first, I think, Advanced is, well.., advanced

karmic thorn
glad prairie
sage python
#

@dapper root yup

glad prairie
#

the basic one is 700 pages

sage python
#

Advanced is like

glad prairie
#

this is not a good start

sage python
#

Algebraic geometry and number theory

whole rain
#

Advanced Algebra goes way further than D&F

karmic thorn
#

Also ryc

dapper root
#

Oh yeah advanced is like

whole rain
#

and already starts further I think lol

dapper root
#

Lowkey just ANT

karmic thorn
#

Basic Algebra doesn't even assume LA

dapper root
#

And some AG

sage python
#

I haven't really read Knapp myself so I'm not gonna endorse it completely but

karmic thorn
#

Starts with row reduction in chapter 1

sage python
#

The two together seem to be an efficient way to go from "I am a kindergartner" to "I can do shit"

karmic thorn
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So you can skip bits you're familiar with

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And size it down reasonably

whole rain
#

isn't that great Dami ? 🤔

glad prairie
#

ok

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this is like

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the table of contents is making me angry

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it's fine

sage python
#

Yeah that makes it look quite good to me. Just that maybe it's typo hell or the exercises are trash

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I don't know because I haven't looked at it deeply

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That's why I hesitate lol

whole rain
#

the exercises are great imo, and I didn't spot any typo yet

glad prairie
#

ok at very least i don't care about anything in the advanced book

sage python
#

I will soon read another book by Knapp actually

glad prairie
#

so that's good

whole rain
#

which one ?

sage python
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"Representations of Semisimple Groups"

glad prairie
#

maybe the homological algebra chapter

whole rain
karmic thorn
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Ah

sage python
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Knapp is a bit of a thing in representation/Lie theory I think

whole rain
#

Also since you know analysis better I think ryc, maybe take a look at Knapp's analysis textbooks to judge if you like the way he writes and all that hmmcat

karmic thorn
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Yes ryc

sage python
#

Oh yeah he has analysis too doesn't he

karmic thorn
#

Please review his analysis books

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Yeah

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Two volumes

sage python
#

Let me check it out

whole rain
#

basic analysis and advanced analysis, because he likes original names

karmic thorn
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The most authentic text name is "Analysis 1"

dapper root
#

Dami have you ever seen Wilma’s algebra text?

sage python
#

Ligma balls

dapper root
#

Tfw

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U r too knowledgeable in the dark arts

whole rain
#

tfw when an admin of a math server of thousands of people be like "l i g m a b a l l s"

dapper root
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It’s cuz I was gonna say “Wilma nuts fit in yo mouth”

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Or something along those lines and he knew

whole rain
sage python
#

I'm too sharp

dapper root
#

Sharp on my nuts

sage python
#

Okay Knapp's analysis looks good it does a lot

dapper root
#

😂😂😂😂

sage python
#

I don't really get the point of doing Riemann integration on R^n if you're just gonna do measure theory later (which you should, corollary I just don't see the point in doing Riemann on R^n at all)

#

Eh no differential forms

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I don't like that

glad prairie
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i do

whole rain
glad prairie
#

differential forms are for the geometers

sage python
#

Yeah idk this book is probably fine but a bit off to me

glad prairie
#

anyway, knapp looked the nicest

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rotman looks good too

sage python
#

He doesn't seem to do weak convergence

glad prairie
#

both look better than d&f for my purposes

marble grotto
#

he has a mini sequel to basic analysis that does diff forms and stokes

sage python
#

Or weak topology in general. So that random topology chapter at the end is like, alright fam

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Yeah idk I feel like an analysis book should basically be like

glad prairie
#

the thing i like about knapp is the section at the end on modules over noncommutative rings

karmic thorn
sage python
#

What an analysis book should do:
"Intro stuff here" (chit chat about sets, R, whatever)
Linear algebra
Metric/normed spaces (including function spaces)
Differentiation
Measure Theory and integration (maybe you can have a bit on Riemann-Stieltjes and use Riesz-rep but don't spend too much time there)
Manifolds and differential forms
Whatever else you want to cover

Yeah ryc that's honestly the part that intrigues me the most about it too lol, the rest I basically am comfortable with

Also to tie up a loose ends from earlier, the S&S verdict:
Fourier is probably the same logic as G&P in differential topology, like wow without knowing fancy tech you can do cool stuff! I can appreciate it but I probably at this point prefer just having the tech and using it

Complex is mediocre

Real does measure theory and Lebesgue integration first on R^n then in general. I don't really get the point but whatever. Seems good for what it does.

Functional has a set of topics which isn't what I think of when I think of functional lol. But it seems cool

hasty turret
#

What do you recommend for complex?

sage python
#

I posted a review in pins lol

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I think I largely stand by what I said there

karmic thorn
#

Linear algebra to be covered in real anal book thonkeyes

whole rain
glad lion
karmic thorn
#

Knapp, Basic Real Analysis

sage python
#

The flowchart is probably:
Gamelin if you don't know anything
Freitag if you like number theory
Stein if you want some awkward choices and like number theory as well as Fourier Analysis
Narasimhan for more sophisticated
Schlag if you're nuts

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I'm saying in my mind that's what an analysis book should do lol

glad lion
karmic thorn
#

Oh

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So Dami was pointing out what a book should do

whole rain
#

"if you're nuts" why ?

karmic thorn
#

This doesn't align with the ToC in Knapp

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Which book does what you proposed, Dami

sage python
#

Schlag is hard lol

whole rain
#

except linalg and manifolds and differential forms, it does align with what's covered, no @karmic thorn ?

karmic thorn
#

Hmmmm

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Seems like it

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And I think V2 goes into manifolds too

sage python
#

Like I know why it is that way but it's basically written for people who don't know any complex but know literally everything else

whole rain
#

(and I don't see why diff geo should be treated in an analysis book shrug)

sage python
#

Yeah I mean Knapp's order is weird

#

Depending on how bad typos are, I think the book by Igor Kriz is good for analysis

#

I don't think this is diffgeo lol

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Basically Spivak Calc on Manifolds

hollow peak
#

most analysis textbooks that attempt to cover differential forms fucking suck

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I've yet to see a single analysis text do it well

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that is to say, it's just too much material to rush through in like 15 pages

slim peak
#

Not a book but maybe one day, since I have to work with differential forms, if I go deeper I will try to write something on Differential forms from analysis point of view, not sure if it will be suitable for general Analysis purpose

frail flax
#

Introductory Probability and Statistics books?

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'Proof-based' would be great

gray gazelle
#

hi guys, what book about game theory would you recommend?

marble solar
#

Whereas setting up lebesgue is more work

#

Granted you can probably just YOLO the integration properties

sage python
#

I feel like you have to learn measure theory eventually so might as well just suck it up and do it there

quick hornet
#

all the integration properties are trivial if you dont think about why your simple argument fails

whole rain
#

And if you do that, you even get more properties !

quick hornet
#

i think this is called "physics"

storm sleet
#

we actually use the second for our grad complex analysis course

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for better or worse

#

god speaking of integrals in R^n, our "advanced multivariable calculus" course used the book Multivariable Calculus with Applications and lemme just say

#

terrible book

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hated it

marble solar
#

S&S complex doesn't seem to be up to a grad level

#

In my opinion

#

Volume 3 & 4 definitely are

storm sleet
#

wb S&S1?

#

Honestly, I think having a not-quite-grad actual analytic intro would be good. My first course was engineering focused, didn't touch sequences, series, and barely touched residues

marble solar
#

S&S1 is a great text

#

But definitely isn't quite at the grad level

#

Probably junior-senior at most schools

sage python
#

Volume 3 is kinda undergrad kinda grad

marble solar
#

The first two or three can be done at the undergrad but chapter 5 & 7

#

Put it squarely in the grad camp for me

sage python
#

I think 5 and 7 are atypical topics for an undergrad class but I wouldn't say they make it not a good undergrad book

still jay
#

Anyone know a good functional equation text? The one I’m looking at now is Iterative Functional Equations by Kuczma but I have no idea if there are better ones out there

gray gazelle
#

It is a really good text written by a really good mathematician.

manic fox
#

imagine having kuc inbuilt into ur name

gray gazelle
manic fox
glad prairie
gray gazelle
#

@still jay Read that book.

gray gazelle
#

Excuse me, could anyone recommend me some novels other than following ones:

  1. The Pride and Prejudice
  2. The Picture of Dorian Gray
  3. Anna Karenina
  4. The Great Gatsby
  5. Don Quixote
  6. Emma
  7. Sapiens: A Brief History of Humankind
  8. The Haunting Hill House
  9. Kane and Abel
  10. Murder of the Orient Express
  11. The Mysterious Affair
  12. The Murder of Roger Ackroyd
  13. The Mystery of the Blue Train
  14. Harry Potter
  15. War and Peace
  16. The Lord of Rings
#

Witcher

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Hobbit

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ok, thank you so much for the recommendation 😊

prisma snow
#

@gray gazelle no

#

Terrible recommendations

#

I will recommend

viral hill
#

Read the savage detectives catThin4K

prisma snow
#

Obviously since you have read Pride and Prejudice and Emma, you should read Austen's other novels. You can also read the Bronte sisters (Jane Eyre and Wuthering Heights to start).

Then some translated fiction:

  • Blindness by Saramago
  • The Makioka Sisters by Tanizaki
  • The Count of Monte Cristo by Dumas

If you do want to read more fantasy/science fiction stuff, I recommend:

  • Annihilation Trilogy by Jeff Vandermeer
  • Anything by Octavia Butler
  • Anything by Gene Wolfe (probably best to start with The Fifth Head of Cerberus)
  • The Left Hand of Darkness by Le Guin.
  • Gormenghast by Peake
#

@gray gazelle for some reason I put way too much effort into this

willow pecan
#

Omniscient Readers Viewpoint by Sing Shong

static crest
karmic thorn
#

Hexadecasully moment

static crest
#

I dont have the nitro to sully bomb ange's message

#

so I had to just spam it

willow pecan
#

Overgeared

#

East of Eden

#

The Alexiad

gray gazelle
#

did anyone read the happiness industry

#

by william davies

gray gazelle
#

for the reason

wispy mist
#

R.S. Aggarwal good math book 👌

gray gazelle
slim peak
atomic stag
#

best book to self study calc?

#

from basics to advance

gray gazelle
#

spivak's calculus

#

it's not just suitable for undergrad it's also good for everybody as long as they want to learn

whole rain
#

Any great compilation of analysis problems to recommend ? Or maybe just a textbook with great problems, and I'll pick the problems

karmic thorn
#

@whole rain Polya/Szego realshit

whole rain
#

too advanced sully

gray gazelle
#

What kind of analysis?

whole rain
#

The elementary kind, like just stuff that is covered in a first RA course ig thinkies

karmic thorn
#

Pugh KEK

#

That is one big problems book

gray gazelle
#

Rudin has a lot of exercises

whole rain
sage python
#

I also might have some psets from analysis the year before I took it lol

#

Because the guy who taught that had good psets

#

I will say the emphasis was probably more "multivariable calculus" than metric spaces and whatnot

marble solar
#

Kafka's short stories are good

marble solar
#

I haven't personally read Goggol, but I should

timid drift
#

Crime and punishment is only good if you try to uncover it's layers

#

Too deep of a novel for light reading

livid garnet
livid garnet
#

if you are going to recommend shitty web serials at least recommend better shitty web serials

timid drift
#

Lol I get why you'd think that

willow pecan
#

I like Overgeared though

static crest
#

that doesn't not make it a shitty webtoon

#

overgeared is shitty even for webtoon standards

willow pecan
#

It has cHaRcTeR dEVloPmEnt

static crest
#

when I drop a series for being too dogshit

#

it has to be really shit

willow pecan
#

I have worst taste than you

#

Checkmate

static crest
#

oh ya? these are my top anime and anime characters on anilist

#

I have worse taste

still jay
#

The best web serials are on royal road, though most are still dogshit

willow pecan
#

Is that worse than The E-Sports Circle’s Toxic Assembly Camp

#

I think not

vagrant sedge
#

Hi. What are good books on functional analysis and measure theory that have not just theoretical exercises, but also more "computational-style" exercises and also exercises showing applications to other things. I mean, sort of showing how the theory is used in other places...

#

Not so sure if this is even a good question, but maybe someone here has something in mind...

static crest
#

smh only one character there is fbi worthy

marble solar
#

Guy rolls around on a couch with a fever

#

But it's the go to recommendation for Dostoevsky cuz muh murder

#

Brothers Karamazov is great though

#

I think C&P is proabably one of Dostoevsky's worse works. Maybe I'm in a minority opinion here

timid drift
marble solar
#

Maybe I should re-read C&P, it's been ten years

#

I re-read Brothers Karamazov over winter

timid drift
#

Any good recommendations for English grammar?

#

I cannot wrap my head around rules like don't end a sentence with a preposition etc

marble solar
#

I like steven pinkers sense of style

marble solar
#

Does writing well matter in an age of instant communication? Drawing on the latest research in linguistics and cognitive science, Steven Pinker replaces the recycled dogma of style guides with reason and evidence.
Subscribe for regular science videos: http://bit.ly/RiSubscRibe

Watch the Q&A here: https://www.youtube.com/watch?v=7rYAnYXIhL0

Bu...

▶ Play video
timid drift
#

Word power made easy?

marble solar
#

Steven Pinker "The sense of style"

#

@timid drift much of English grammar rules are in flux now

timid drift
#

If you know when to use a semi-colon you're good at english

marble solar
#

Like difference between a hpyhen versus a semicolon?

timid drift
#

Oh my god what is wrong with English

marble solar
#

Nothings wrong with it

#

Works perfectly fine for almost everyone

#

It just doesn't follow neat logical rules

#

why does debt have a b?

#

Why does receipt have a p?

timid drift
#

queue?

marble solar
#

Debt has a b because it's supposed to remind the reader that debt comes from the latin debitum

#

Receipt has a p because at the time it was common to shorten latin words, so they wanted readers to think that it came from a latin word

timid drift
#

Wow

#

I'm gonna use this fact at parties

#

Thanks for the info

#

diacritic letters

sudden kindle
#

pt\

prisma narwhal
#

Anyone have a good recommendation for an abstract algebra book

sage python
#

I put a review of algebra books in the pinned messages

prisma narwhal
#

Oh thank you so much

sage python
#

Along with the ones listed I've heard praise of Rotman

gray gazelle
prisma snow
gray gazelle
#

hi, anyone can recommend some precalculus trigonometry book?

livid garnet
willow pecan
livid garnet
#

no they totally all are

willow pecan
#

Web serials have literary value

livid garnet
#

some of them are more tolarable than others

livid garnet
willow pecan
#

Some of them are very good

#

I stand by what I said

livid garnet
#

which ones do you consider very good?

willow pecan
#

Omniscient Reader's Viewpoint

livid garnet
#

I dunno about literary value in that

willow pecan
#

I do

livid garnet
#

this is better than most of what im following rn so far

willow pecan
gray gazelle
#

Any recommendation on a pre-calculus book?

#

Or well

#

A book that can teach me calculus and complement khan academy? As im abooooout to finish the last lessons and tópics of pre calculus stareFlushed

still jay
# willow pecan Web serials have literary value

I don’t know about this, but maybe as much as one can find in a typical fantasy/sci fi novel. I don’t really read them for literary merit (does anyone), more for entertainment. Also like 99.9% are shit and barely tolerable. Only a few are actually well written

willow pecan
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I didn't say that all web serials have literary value

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There exists a web serial with literary value

static crest
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the existence of web serials does have literary value, yes

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but also the vast majority are shit yet I keep reading them

willow pecan
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The Count of Monte Cristo was originally a newspaper serial

static crest
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good authors can be anywhere

still jay
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Definitely, I don’t think the format affects literary merit

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But barrier to entry is nonexistent for web serials so there’s shit everywhere

static crest
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I just wish there was more creativity there

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the same 10 (maybe I'm being generous with 10) general plot lines are rehashed like 100000x over

willow pecan
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Oh no the apocalypse is happening and gates are appearing everywhere and people are gaining superpowers

static crest
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if I see stupid blue game windows explaining literally everything

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once more

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I will lose my mind

willow pecan
static crest
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also these people only know two fantasy settings in total

  1. medieval europe
  2. some "murim" eastern fantasy "martial arts" bs setting
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please learn at least a third fantasy setting

willow pecan
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  1. combine them
manic fox
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what is murim

willow pecan
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Martial arts universe or something

manic fox
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o i cee

static crest
manic fox
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the noun is uncountable

willow pecan
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Yes the noun is not a count noun

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We were discussing in the context of web serials and stuff

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Is shadowrun a web serial

manic fox
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tfw web cereal

willow pecan
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No it isn't

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The point is that other settings exist

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But web serial authors generally stick to the same 2

static crest
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murim is basically the analog of the harry potter wizard world, but with "martial artists" rather than wizards

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all the shitty wuxia/xianxia inspired stories you see

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they're all murim

willow pecan
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Murim is Korean though

static crest
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yes

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that's why I said "inspired"

manic fox
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hwat is wuxia

willow pecan
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Wuxia/xianxia are Chinese martial arts genres

static crest
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it's not actually wuxia/xianxia, but it's inspired by it

willow pecan
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You cultivate and become immortal

static crest
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bro I've come to hate the word cultivate

manic fox
willow pecan
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Oh yeah?

static crest
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someone mentioned cultivate in some gardening setting

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and I was fuming

willow pecan
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What about opening acupoints

manic fox
willow pecan
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And inner qi

manic fox
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what

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i guess im not cringe enough to understand

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😌

willow pecan
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Cultivation manuals

static crest
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what about [random adjectives and nouns] sect

manic fox
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lmao

willow pecan
static crest
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pink blossom and heavenly mountain sect

willow pecan
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Glacier rain sect

static crest
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just throw together random nature related words

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and heavenly or demonly or shit

manic fox
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lmao

willow pecan
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To be fair, this is how a lot of names in China come to be

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Random nature words

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It just translates poorly

static crest
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true, it just feels a bit ridiculous in english

manic fox
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lol

willow pecan
quick hornet
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most of these words are like 1 syllable in chinese

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so it doesnt sound as exaggerated and clunky

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(tonality is a bitch but it also lets you do cool things)

willow pecan
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Yes I mentioned

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Are you of Chinese descent

quick hornet
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n

willow pecan
quick hornet
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i just took a few linguistics courses in UG

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mandarin was a frequent source of examples

willow pecan
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Yes

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Lots of features

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Or lack thereof

quick hornet
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partially because it differed from western languages in some fundamental and surprising ways, partially because half the class spoke it

willow pecan
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No tenses

static crest
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no tenses is cool

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mandarin conjugation in general is very minimal I believe

willow pecan
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There is no conjugation

static crest
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like they don't have any verb conjugation (iirc)

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ya

willow pecan
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There is no noun declension

static crest
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oh I see

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very cool

willow pecan
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Everything is done with modifier words + word order

manic fox
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😮

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sounds cool

static crest
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I remember learning something about how questions are constructed in mandarin

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it was very interesting

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I forgot it all now

willow pecan
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Question words