#book-recommendations | Mathematics | Page 211

calm crane Nov 28, 2020, 4:24 AM

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and have google translate

dapper root Nov 28, 2020, 5:07 AM

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Like big huge grad math Lang's algebra lang?

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Don't do that

steel viper Nov 28, 2020, 5:08 AM

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but i Want To

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its not for learning new material tho

dapper root Nov 28, 2020, 5:08 AM

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Literally waste of time

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You'd be more productive literally sleeping all day

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grow up big and strong

steel viper Nov 28, 2020, 5:12 AM

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hurb

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but i want Lang

dapper root Nov 28, 2020, 5:13 AM

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no you don't

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you want multivariable calc

broken meadow Nov 28, 2020, 5:14 AM

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multivariable calc is Bad

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or is this a book by lang

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i was talking about the class

dapper root Nov 28, 2020, 5:15 AM

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no I'm saying moth should learn multivariable calc before using F'ing Lang

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the most evil and sinister book

calm crane Nov 28, 2020, 5:15 AM

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lang is more like

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a dictionary

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esp first part

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ok most of it

sage python Nov 28, 2020, 5:17 AM

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Multivariable calculus is for nerds

warped cedar Nov 28, 2020, 5:17 AM

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its for engineers 4Head

marble solar Nov 28, 2020, 5:18 AM

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Mapping class groups

gray gazelle Nov 28, 2020, 5:19 AM

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thonk

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i guess lang algebra is more like a reference book

sage python Nov 28, 2020, 5:21 AM

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Did someone say mapping class groups

valid moth Nov 28, 2020, 5:54 AM

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dapper root you want multivariable calc

bru

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sully

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im gonna learn calc 3 from ism

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😌

calm crane Nov 28, 2020, 5:59 AM

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ism?

dapper root Nov 28, 2020, 6:00 AM

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Intro to Smooth Manifolds by Lee

marble solar Nov 28, 2020, 6:31 AM

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That was me

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I'm gonna get a primer on mapping class groups

sudden kindle Nov 28, 2020, 6:41 AM

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Mapping

gray gazelle Nov 28, 2020, 6:41 AM

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#❓how-to-get-help

gray gazelle Nov 28, 2020, 12:25 PM

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Does someone know of a book containing a detailed solution to the multivariate Ornstein-Uhlenbeck process?

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With derivations of it's mean and variance

sterile pelican Nov 28, 2020, 1:03 PM

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What if you learn multivariable calc from lang? :^)

warped cedar Nov 28, 2020, 1:04 PM

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then ur probably big brain

sterile pelican Nov 28, 2020, 1:04 PM

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Or learn the entire maths degree using only lang from basic maths to gtm from lang?

hasty turret Nov 28, 2020, 1:04 PM

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I don't think it works that way

warped cedar Nov 28, 2020, 1:04 PM

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what if you do smooth manifolds instead

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hmmm

sterile pelican Nov 28, 2020, 1:05 PM

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why not just learn differential manifolds instead by lang? :^)

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lang has nearly everything you need!

warped cedar Nov 28, 2020, 1:07 PM

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idk about that

wooden sparrow Nov 28, 2020, 2:13 PM

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Is Lang good at everything?

elfin glacier Nov 28, 2020, 2:13 PM

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who is Lang?

wooden sparrow Nov 28, 2020, 2:19 PM

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Serge Lang

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@elfin glacier

karmic thorn Nov 28, 2020, 4:20 PM

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Need some recommendations for a first course in analytic geometry at the undergrad level.

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These are the contents of my course.

📎 IMG_20201128_215009.jpg

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Will take a look, thanks.

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For Units 3 and 4 I could use Burton's ENT textbook, any recs for the units on set theory?

📎 IMG_20201128_215337.jpg

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Owww nice, thanks!

dapper root Nov 28, 2020, 4:27 PM

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What?

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Munkres doesn’t do cardinal arithmetic

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Or Cantor Schroeder Bernstein as far as I know

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You can pick up Halmos

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It’s really short and literally like 7 bucks or something

gray gazelle Nov 28, 2020, 4:28 PM

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naive set theory by halmos covers all of this iirc

prisma snow Nov 28, 2020, 4:28 PM

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These look like fun classes. I've never had a NT class :(. Enjoy, Ted!

karmic thorn Nov 28, 2020, 4:28 PM

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Thanks Luna!

fast portal Nov 28, 2020, 4:29 PM

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~~eww NT~~

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~~What is next, crypto?~~

karmic thorn Nov 28, 2020, 4:29 PM

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Okay, I'll take a look at both Halmos and the Wikipedia articles haha.

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This is the only NT course being offered in 3 years.

prisma snow Nov 28, 2020, 4:29 PM

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I only hate NT because of how simple its problems sound, and then I can't solve any :(

karmic thorn Nov 28, 2020, 4:29 PM

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And maybe an applications of algebra in the 6th semester

fast portal Nov 28, 2020, 4:29 PM

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Nice

karmic thorn Nov 28, 2020, 4:30 PM

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prisma snow I only hate NT because of how simple its problems sound, and then I can't solve ...

True, the problems are deceitful.

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My course is loaded with DEs though. I'm also looking forward to a course on Automata Theory in the third year.

dapper root Nov 28, 2020, 4:31 PM

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Where are you going?

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I heard you were waiting on some college to reply back

karmic thorn Nov 28, 2020, 4:31 PM

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A state uni. It has a good math programme.

dapper root Nov 28, 2020, 4:31 PM

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Was that the one you were waiting on?

karmic thorn Nov 28, 2020, 4:32 PM

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Yeah, it was the one I had been waiting to hear back from until two days back haha.

dapper root Nov 28, 2020, 4:32 PM

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Congrats 😁

karmic thorn Nov 28, 2020, 4:32 PM

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Oh, I didn't make the cut into two of the hardcore programmes.

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Thanks Chmonkey and Ultra!

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I'm really excited to start.

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I just hope it doesn't wear out as I progress ahead.

fast portal Nov 28, 2020, 4:33 PM

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if the courses make you suicidal just remember

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undergrad sucks everywhere

karmic thorn Nov 28, 2020, 4:33 PM

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:(

static crest Nov 28, 2020, 4:33 PM

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they do be spitting facts

dapper root Nov 28, 2020, 4:33 PM

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My undergrad doesn’t suck...

karmic thorn Nov 28, 2020, 4:33 PM

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Does working hard compensate for a sucky course?

dapper root Nov 28, 2020, 4:33 PM

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At least not any more than grad school I think

static crest Nov 28, 2020, 4:33 PM

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I like my undergrad more or less, but there's low points in all of them

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at least from what I've heard

karmic thorn Nov 28, 2020, 4:34 PM

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I see.

static crest Nov 28, 2020, 4:35 PM

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just do what you enjoy, and you should have a decent time

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I know people who did certain things for more money

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and they're struggling to stay afloat

fast portal Nov 28, 2020, 4:35 PM

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sad!

karmic thorn Nov 28, 2020, 4:36 PM

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I'm driven towards maths not so much by pragmatic considerations as I am by my own interest.

dapper root Nov 28, 2020, 4:36 PM

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My suggestion is

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And idk how it is in India

karmic thorn Nov 28, 2020, 4:36 PM

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No matter what it is, it's bad in India XD

dapper root Nov 28, 2020, 4:36 PM

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Just fight bureaucracy and try to get into better classes

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Skip stuff you know, email profs

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Idk how much you can do in India

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I know Europe is pretty stringent on this compared to the US

karmic thorn Nov 28, 2020, 4:37 PM

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I don't even think the uni permits that, the system is too rigid in the present

fast portal Nov 28, 2020, 4:37 PM

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Moonbears say you can skip classes by taking first then informing the staff later LuffyThink

dapper root Nov 28, 2020, 4:37 PM

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I don’t email my advising

fast portal Nov 28, 2020, 4:37 PM

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His uni also said no skipping but he did it anyway

dapper root Nov 28, 2020, 4:37 PM

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I email professors directly

karmic thorn Nov 28, 2020, 4:37 PM

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A new education policy is underway which could allow flexible selections but it may not come into effect by the time I finish my undergrad.

dapper root Nov 28, 2020, 4:37 PM

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Get permission

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Then say “hey fuckos they let me in”

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And then they budge

karmic thorn Nov 28, 2020, 4:37 PM

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Hahaha.

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I'll definitely try that.

hollow current Nov 28, 2020, 4:38 PM

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but what if your prof is ur advisor

karmic thorn Nov 28, 2020, 4:38 PM

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Why skip classes though?

hollow current Nov 28, 2020, 4:38 PM

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omegalol

dapper root Nov 28, 2020, 4:38 PM

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Try to surround yourself with great people too

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Because

fast portal Nov 28, 2020, 4:38 PM

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Saves time

dapper root Nov 28, 2020, 4:38 PM

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If you know analysis at level A

karmic thorn Nov 28, 2020, 4:38 PM

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I see.

fast portal Nov 28, 2020, 4:38 PM

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Also helps avoid bad courses

dapper root Nov 28, 2020, 4:38 PM

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Why do level A analysis

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Go up a level

dapper root Nov 28, 2020, 4:38 PM

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dapper root Try to surround yourself with great people too

On this point I got to where I am now because I just did what shamrock did

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He was in my freshman analysis class and just did whatever to get into better classes and I just followed suit

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And I think it worked out well, so I’d recommend you search out similar people

karmic thorn Nov 28, 2020, 4:39 PM

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Your expertise is indeed inspirational for me, ngl.

dapper root Nov 28, 2020, 4:39 PM

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I don’t have expertise lol

fast portal Nov 28, 2020, 4:39 PM

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Wait

hollow current Nov 28, 2020, 4:39 PM

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i mean when i entered my uni i saught that my groupmates were stronger than me if maff

dapper root Nov 28, 2020, 4:39 PM

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I would deny such a claim

karmic thorn Nov 28, 2020, 4:40 PM

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XD

fast portal Nov 28, 2020, 4:40 PM

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Chmonkey and shamrock know each other irl

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🤯

hollow current Nov 28, 2020, 4:40 PM

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now i am the strongest in my group ngl

dapper root Nov 28, 2020, 4:40 PM

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We’re classmates lmao

karmic thorn Nov 28, 2020, 4:40 PM

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Hahaha. That's nice.

fast portal Nov 28, 2020, 4:40 PM

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This is news to me

frozen tree Nov 28, 2020, 4:40 PM

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hiiii

gray gazelle Nov 28, 2020, 4:40 PM

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me too

dapper root Nov 28, 2020, 4:40 PM

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Anyway I’d prefer to enter a class at like 30th percentile

frozen tree Nov 28, 2020, 4:40 PM

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does anyone have any books for algebraic geometry?

dapper root Nov 28, 2020, 4:40 PM

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Rather than top 5 percent or whatever

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Nzrpi

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I’m not gonna lie

frozen tree Nov 28, 2020, 4:40 PM

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hi ch

gray gazelle Nov 28, 2020, 4:40 PM

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read my book ega

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it's great

hollow current Nov 28, 2020, 4:40 PM

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hollow current now i am the strongest in my group ngl

and then i found mathematics server...

dapper root Nov 28, 2020, 4:40 PM

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I wouldn’t recommend you learn AG but also I do it

karmic thorn Nov 28, 2020, 4:40 PM

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True. I just hope I'm at the bottom of the pit.

gray gazelle Nov 28, 2020, 4:40 PM

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oops

dapper root Nov 28, 2020, 4:40 PM

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So if you want to start

gray gazelle Nov 28, 2020, 4:40 PM

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self promotion

hollow current Nov 28, 2020, 4:41 PM

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read my books margins

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they are narrow

fast portal Nov 28, 2020, 4:41 PM

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Read deez nuts

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Actually no

hollow current Nov 28, 2020, 4:41 PM

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yohan and you read #❓how-to-get-help

fast portal Nov 28, 2020, 4:41 PM

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read #❓how-to-get-help

karmic thorn Nov 28, 2020, 4:41 PM

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hollow current and then i found mathematics server...

This server is a constant you're-not-smart-enough reminder for me.

fast portal Nov 28, 2020, 4:41 PM

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Damn beaten

gray gazelle Nov 28, 2020, 4:41 PM

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#chill

hollow current Nov 28, 2020, 4:41 PM

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fast portal Damn beaten

fastest hand on the wild east

karmic thorn Nov 28, 2020, 4:43 PM

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That's the plan, Ultra.

fast portal Nov 28, 2020, 4:43 PM

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Do bother comparing yourself to people who have been doing math for years if you have a competitive spirit.

karmic thorn Nov 28, 2020, 4:43 PM

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Acknowledging I'm not good enough is step 1, acknowledging I can grind and get good is step 2.

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If only I had met more capable peers at school I might have been pushed to work harder and not rely on my "genius" to get away with good score on school tests without working hard.

hollow current Nov 28, 2020, 4:44 PM

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acknowledging i'm not good enough
getting deprresed and start drinking

basically my plan

karmic thorn Nov 28, 2020, 4:44 PM

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Lmao

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I'll move your 2 to my step 3. XD

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That makes a lot of sense.

hollow current Nov 28, 2020, 4:45 PM

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https://tenor.com/view/mind-blown-bill-nye-science-guy-explosions-incredible-gif-4895431

Tenor

fast portal Nov 28, 2020, 4:46 PM

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I feel like it is given you will never feel competitive against any of those people because you can tell they are out of your league. Me thinks a reasonable and competitive lad would be more interested in beating his upperclassmen but oh well

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haha.

karmic thorn Nov 28, 2020, 4:47 PM

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Oh, I wouldn't compare myself to you for the life of me.

dapper root Nov 28, 2020, 4:48 PM

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karmic thorn If only I had met more capable peers at school I might have been pushed to work ...

This is exactly how i cruised through school

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It isn’t uncommon to find some moment where you question everything but pushing through that is important

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You’ll feel fucking stupid at times and useless but you just accept that others are where they are and you’re where you are

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Look back in two years time and you’ll be surprised

fast portal Nov 28, 2020, 4:48 PM

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~~The past is a spook. Neither accept or deny it, simply live on. ~~

pearl imp Nov 28, 2020, 4:49 PM

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you can compete with ppl out of your league but always compare yourself with your state 2 weeks/month/years ago

hollow current Nov 28, 2020, 4:49 PM

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~~the past does not exist~~

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~~me too~~

true veldt Nov 28, 2020, 4:50 PM

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the future does not exist either

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all that exists is the present moment

hollow current Nov 28, 2020, 4:50 PM

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hiya woogie

hollow current Nov 28, 2020, 4:50 PM

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true veldt all that exists is the present moment

oh wait it is gone

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again

hasty turret Nov 28, 2020, 4:50 PM

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Nothing exists

true veldt Nov 28, 2020, 4:51 PM

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ultra is free to reject present too

hollow current Nov 28, 2020, 4:52 PM

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i exist outside of space. So I will too.

hasty turret Nov 28, 2020, 4:52 PM

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Are you bounded by time,duke?

true veldt Nov 28, 2020, 4:52 PM

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what is time, without past nor future?

hollow current Nov 28, 2020, 4:52 PM

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Time is subset of space.

hasty turret Nov 28, 2020, 4:52 PM

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true veldt what is time, without past nor future?

An illusion?

hollow current Nov 28, 2020, 4:53 PM

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A point?

fast portal Nov 28, 2020, 4:53 PM

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I regret shitposting about time

hollow current Nov 28, 2020, 4:53 PM

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you should regret all your shitposting

hasty turret Nov 28, 2020, 4:53 PM

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But,That was in the past

hollow current Nov 28, 2020, 4:53 PM

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what is past

hasty turret Nov 28, 2020, 4:53 PM

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And there is no past

calm crane Nov 28, 2020, 4:53 PM

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imagine having people to compete in in sch 👀

hollow current Nov 28, 2020, 4:53 PM

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hi ari

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meow

calm crane Nov 28, 2020, 4:53 PM

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hai

hasty eagleBOT Nov 28, 2020, 4:53 PM

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Commander Vimes:

📎 694042020100046990.png

gray gazelle Nov 28, 2020, 4:54 PM

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hmm

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#chill

hollow current Nov 28, 2020, 4:54 PM

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no u

gray gazelle Nov 28, 2020, 4:54 PM

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BAN ULTRA!!

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sully

hollow current Nov 28, 2020, 4:54 PM

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bruh

fast portal Nov 28, 2020, 4:55 PM

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Shut up godel

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AAAAAAAAAAAAAAAAAAAAAA

📎 unknown.png

hollow current Nov 28, 2020, 4:55 PM

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yohan read #❓how-to-get-help and you will find peace

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windows

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foooo

fast portal Nov 28, 2020, 4:56 PM

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I had some schoolwork to do here

karmic thorn Nov 28, 2020, 5:44 PM

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dapper root Look back in two years time and you’ll be surprised

That is so true.

lusty jacinth Nov 29, 2020, 1:48 AM

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I've bought Calculus:Early Transcendentals by James Stewart was wondering if this was any good for calc 1, 2, and 3. Is there anything in particular that I should know before getting into this book?

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yes

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I'm in calc 1 rn, I've gotten this book to self study

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alright

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it seems like it's a comprehensive book

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does it cover all of calc 3?

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https://www.knewton.com/wp-content/uploads/2020/04/alta-Calculus-Early-Transcendentals-v2-TOC.pdf - I think this is the table of contents

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alright cool

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thanks

cold juniper Nov 29, 2020, 2:06 AM

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lusty jacinth I'm in calc 1 rn, I've gotten this book to self study

From my experience when reading it, it wasn't the best thing for self studying. It's better for going along with a college course. I would recommend Khan Academy's Calc 3 course, because they got someone to teach it that is actually really good at teaching (Grant Sanderson, 3Blue1Brown)

lusty jacinth Nov 29, 2020, 6:51 AM

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yeah I heard he made the course

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with regards to self studying, did you mean it wasn't great for self studying calc 3 or were you saying it isn't great for self studying in general?

warped cedar Nov 29, 2020, 6:54 AM

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multivariable calculus by stewart is good, early transcendentals is pretty good

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intro to smooth manifolds by lee if you are into that sort of thing LUL

quartz pawn Nov 29, 2020, 7:50 AM

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@lusty jacinth Try Colley or Marsden vector calculus both are very good and are intro books but are also rigorous. But you can try stewart. I'm doing problems out of Colley again and I think it's really good.

lusty jacinth Nov 29, 2020, 7:51 AM

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oh okay

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awesome

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I'll note these down

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Oh, is AOPS Precalculus any good? I'm mainly looking at it for reference but my brother is also studying precalc so I'm wondering if it's good for precalculus.

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from the looks of it, the textbooks looks good but I figured asking around wouldn't hurt. This is the table of contents I think https://s3.amazonaws.com/aops-cdn.artofproblemsolving.com/products/precalculus/toc.pdf.

marble solar Nov 29, 2020, 8:10 AM

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I have a copy of fulton Alg. top @sage python I've been mulling it over

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It seems to be pretty good

lusty jacinth Nov 29, 2020, 8:12 AM

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what

sage python Nov 29, 2020, 8:13 AM

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Yeah idk it myself but my impression is that it's AT for people who don't do AT

marble solar Nov 29, 2020, 8:14 AM

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I mean, the only real pre-req is like calc 3

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SO you can do a low level sophomore junior level course on it

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Hi rubidinium, two servers eh?

lusty jacinth Nov 29, 2020, 8:15 AM

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yes

marble solar Nov 29, 2020, 8:15 AM

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Sorry I ignored your question bcuz I have no opinion

lusty jacinth Nov 29, 2020, 8:15 AM

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lol np

marble solar Nov 29, 2020, 8:15 AM

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There's open stax pre-calculus

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which is a free pre-calc book

lusty jacinth Nov 29, 2020, 8:15 AM

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oh yeah

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I'll check that out

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but from the reviews I saw a few minutes ago, AOPS precalc looks good so I might just end up getting it

marble solar Nov 29, 2020, 8:16 AM

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@sage python do you think fulton would pair well with hatcher in a course

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Like if you do low level fulton

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medium level munkres

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high level hatcher

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Cuz there's interesting things in Fulton that are done at a nice level

sage python Nov 29, 2020, 8:16 AM

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I mean they're sorta all different, it's not just level but goal

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Hatcher is very geometric but it's kinda still AT for, at least topologists, including algebraic topologists

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Fulton's in a way easier but it's more like, if you do geometry and sorta need AT but need it from the geometry side

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So e.g. you're more interested in De Rham cohomology and stuff like that

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So there's gonna be a lot of overlap but different takes

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Munkres is just point-set so it's kinda its own thing

marble solar Nov 29, 2020, 8:19 AM

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One thing that I like about Fulton is

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I can sit down and do every exercise without too much

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Thinking

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Like I get comfy

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Hatcher is not super comfy

sage python Nov 29, 2020, 8:20 AM

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That's fair. I think Rotman's kinda my preferred easy intro to AT

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Someone I know gave a good overview of books if you don't like Hatcher

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I suggested Rotman, Fulton, Massey, and Bredon in that order
Rotman is for people who will never understand pictures
Fulton is for people who want to do this junk and move on with their lives
Massey is for people who understand squares better than triangles
and Bredon is a good book

lusty jacinth Nov 29, 2020, 8:24 AM

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If you don't mind might I ask what you two were talking about?

marble solar Nov 29, 2020, 8:28 AM

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Algebraic Topology is using algebraic structures like the integers, or more generally abstract algebra, to say things about inherently geometric things

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But we have special rules about the geometric things: namely we can slide things around, sometimes we can pinch things, sometimes we can cut things, sometimes we can really distort things

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There ends up being a lot one can say about the relationship these things have with inherently algebraic things like polynomials

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or numbers

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etc.

lusty jacinth Nov 29, 2020, 8:34 AM

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oh

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interesting

valid moth Nov 29, 2020, 8:47 AM

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@sage python Rotman is for people who will never understand pictures Fulton is for people who want to do this junk and move on with their lives Massey is for people who understand squares better than triangles and Bredon is a good book

hatcher is for people who [?]

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KEK

obsidian valley Nov 29, 2020, 8:48 AM

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Hatcher is for people who use math discord

elfin glacier Nov 29, 2020, 9:17 AM

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Margaret Hatcher?

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the Conservative Prime Minister

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of Britain?

marble solar Nov 29, 2020, 9:17 AM

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I'm doing some fulton exercises now sloth king dami

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They're comfy. I might just do a few once a week try to get most of the book done

worldly basalt Nov 29, 2020, 9:21 AM

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elfin glacier Margaret Hatcher?

Her name is Margaret Thatcher

elfin glacier Nov 29, 2020, 9:37 AM

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that's what I said

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Margaret Hatcher

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who Hatches

calm crane Nov 29, 2020, 9:40 AM

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sully

marble solar Nov 29, 2020, 10:20 AM

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@sage python the other advantage of Fulton is the hints at the back

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Y'know I think I'm just gonna work through this for my topology qual

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and hope it gives me enough of a foundation to just combine it with other facts of topology I know

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to pass

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Fuck Hatcher for anything beyond chapter 0 & 1

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It just looks like pain

wooden sparrow Nov 29, 2020, 1:27 PM

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@stray veldt I need help with this book rec

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@gray gazelle

gray gazelle Nov 29, 2020, 1:28 PM

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how to prove it

wooden sparrow Nov 29, 2020, 1:28 PM

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Yes, Godel recommended How to prove it. And I asked you about if the book is a worthwhile read

hearty steppe Nov 29, 2020, 1:29 PM

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It’s probably the best intro to proofs book out there.

There’s not too many problems in the exercises per section and each problem uniquely challenges the concepts glossed per section

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I peaked at Zhang and tbh it seems Zhang doesn’t really have the same flare.

wooden sparrow Nov 29, 2020, 1:30 PM

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Loch told to go with Amann Escher

hearty steppe Nov 29, 2020, 1:30 PM

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Never heard of that one

wooden sparrow Nov 29, 2020, 1:30 PM

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Oh okay

gray gazelle Nov 29, 2020, 1:30 PM

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ok its also pretty good

hearty steppe Nov 29, 2020, 1:30 PM

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I only heard of Escher’s real analysis book

stray veldt Nov 29, 2020, 1:30 PM

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it's an analysis book, but it has an intro to proofs

hasty turret Nov 29, 2020, 1:30 PM

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hearty steppe Never heard of that one

It's an analysis book,that does everything an amateur would need

wooden sparrow Nov 29, 2020, 1:30 PM

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Ohh......

stray veldt Nov 29, 2020, 1:30 PM

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yes, it's two authors

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Amann and Escher

wooden sparrow Nov 29, 2020, 1:30 PM

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bruh

stray veldt Nov 29, 2020, 1:30 PM

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i mean, how to prove it is fine

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but imo it is too long

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and it goes into more set theory than you will need

gray gazelle Nov 29, 2020, 1:31 PM

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false

wooden sparrow Nov 29, 2020, 1:31 PM

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Godel, that's what I was referring to. I'm not biased. I just said what he said

gray gazelle Nov 29, 2020, 1:31 PM

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it's wordy which is good

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and formatting makes it more pages

hearty steppe Nov 29, 2020, 1:32 PM

#

Idk I don’t think there’s that much set theory involved. It doesn’t go over anything more than power sets and families of sets when it comes to set theory

#

Yea it is a little longer but more detailed

stray veldt Nov 29, 2020, 1:32 PM

#

eh

#

i mean mostly the last chapter

gray gazelle Nov 29, 2020, 1:32 PM

#

it literally covers the most important set theory - relations, functions, induction, infinite sets

#

Maybe another fun intro to proofs is just solving proof contest problems

stray veldt Nov 29, 2020, 1:32 PM

#

i think cantor-schröder-bernstein etc is worthwhile

#

but not in intro proofs

gray gazelle Nov 29, 2020, 1:33 PM

#

it is

stray veldt Nov 29, 2020, 1:33 PM

#

also the order is kinda weird imo

hearty steppe Nov 29, 2020, 1:33 PM

#

I mean there is a whole chapter on induction (which seems like a good thing) and the very last chapter is a prelude into real analysis

gray gazelle Nov 29, 2020, 1:33 PM

#

yeah relations and functions should be switched but other than that its good

hearty steppe Nov 29, 2020, 1:33 PM

#

And there is a chapter on functions which again I think is good exposure

stray veldt Nov 29, 2020, 1:33 PM

#

i would do induction earlier

#

and i would do anything in less detail

hearty steppe Nov 29, 2020, 1:34 PM

#

What about the chapter on relations

stray veldt Nov 29, 2020, 1:34 PM

#

yes, i think all of this (minus the last chapter) is important

#

relations i would do somewhere else

#

i mean, if you want to see what i would do, just read #book-recommendations message

gray gazelle Nov 29, 2020, 1:35 PM

#

how is last chapter not important

#

cardinality arguments are very useful

hasty turret Nov 29, 2020, 1:35 PM

#

What's the last chapter?

stray veldt Nov 29, 2020, 1:35 PM

#

cantor-schröder-bernstein

#

it's a bit much for intro proofs

#

again, my opinion

gray gazelle Nov 29, 2020, 1:36 PM

#

@wooden sparrow jsut read how to prove it, there are better analysis books anyways

hearty steppe Nov 29, 2020, 1:36 PM

#

Yea that’s a prelude to analysis tho, cantor is definitely brought up on first chapter of Abbott

stray veldt Nov 29, 2020, 1:36 PM

#

i would just define cardinality via existence of bijections

#

do cantors first diagonal argument

#

show that a function A -> 2^A can't be surjective

#

and use that to show that R is uncountable

#

it's like 2 pages

hearty steppe Nov 29, 2020, 1:37 PM

#

Well uncountable means infinite right

stray veldt Nov 29, 2020, 1:37 PM

#

uncountable means bigger than N

#

i.e. infinite and no bijection between the set and N

#

you can essentially do russells paradox to show that any function from a set into the powerset is not surjective

hearty steppe Nov 29, 2020, 1:38 PM

#

Err well isn’t there the Aleph Null property of certain kinds of infinite sets

stray veldt Nov 29, 2020, 1:38 PM

#

this is the hardest part, but you can just believe it

#

and then it is very easy to show that R is uncountable

#

because you go from 2^N to [0, 1] injectively

gray gazelle Nov 29, 2020, 1:38 PM

#

btw which intro to proofs course doesnt cover cantor bernstein theorem

stray veldt Nov 29, 2020, 1:39 PM

#

most of them

hearty steppe Nov 29, 2020, 1:39 PM

#

Why don’t they call it Cantor-Berenstain theorem lmao

stray veldt Nov 29, 2020, 1:39 PM

#

cardinality aleph null just means there is a bijection to N

hearty steppe Nov 29, 2020, 1:40 PM

#

That’s all it means?

stray veldt Nov 29, 2020, 1:40 PM

#

i don't think i ever really used cantor-bernstein

#

so there is that

hearty steppe Nov 29, 2020, 1:40 PM

#

But doesn’t that mean that it is more finite than other infinite sets

gray gazelle Nov 29, 2020, 1:40 PM

#

Wait how come it's not alphabetical order? I thought names in theroems are so

stray veldt Nov 29, 2020, 1:40 PM

#

it's the smallest infinite set

hearty steppe Nov 29, 2020, 1:40 PM

#

For Aleph Null property

stray veldt Nov 29, 2020, 1:40 PM

#

in some sense

hearty steppe Nov 29, 2020, 1:40 PM

#

Oh ok

#

But like

#

So what is aleph null really mean in this case

hasty turret Nov 29, 2020, 1:41 PM

#

stray veldt cardinality aleph null just means there is a bijection to N

This

hearty steppe Nov 29, 2020, 1:41 PM

#

Smallest infinite set doesn’t really mean anything in terms of words

#

Oh

stray veldt Nov 29, 2020, 1:41 PM

#

it's defined as the cardinality of N

gray gazelle Nov 29, 2020, 1:42 PM

#

c4t btw what chapter are you on rn?

wooden sparrow Nov 29, 2020, 1:43 PM

#

Soo..... umm... which book did you guys decide is better?

gray gazelle Nov 29, 2020, 1:43 PM

#

how to prove it

wooden sparrow Nov 29, 2020, 1:43 PM

#

Okay

hearty steppe Nov 29, 2020, 1:43 PM

#

Oh I’m on the last couple exercises of 3.6

#

Pretty much about to be on relations chapter soon

gray gazelle Nov 29, 2020, 1:44 PM

#

nice c4t proud of you catheart

warped cedar Nov 29, 2020, 4:13 PM

#

anyone have any good abstract algebra book recommendations?

#

any level is fine

prisma snow Nov 29, 2020, 4:16 PM

#

I will give an anti-recommendation to D and F. And a recommendation to Rotman.

gray gazelle Nov 29, 2020, 4:17 PM

#

d&f bad

warped cedar Nov 29, 2020, 4:20 PM

#

i like the anti-recommendation lmao

#

is it worth getting a book about ring theory

#

im just trying to collect books

karmic thorn Nov 29, 2020, 4:22 PM

#

||Libgen all of them||

warped cedar Nov 29, 2020, 4:22 PM

#

usually i do

#

but i like physical books too

#

i have quite a lot of books

#

i libgen books i dont care to purchase

#

but if i want them then ill buy them

#

usually not at full price tho

#

ill get used copies for ~10$

karmic thorn Nov 29, 2020, 4:24 PM

#

Same.

#

I buy new ones though

warped cedar Nov 29, 2020, 4:24 PM

#

depends how much i care to get it

karmic thorn Nov 29, 2020, 4:24 PM

#

But only after I'm convinced it's good

warped cedar Nov 29, 2020, 4:24 PM

#

if i really want it ill buy a new

karmic thorn Nov 29, 2020, 4:25 PM

#

As far as abstract algebra goes, Gallian's Contemporary Abstract Algebra is the one I use and I really like it as a first text.

gray gazelle Nov 29, 2020, 4:28 PM

#

I just noticed even sci hub has all the books if you have the doi

#

catThink

hollow current Nov 29, 2020, 4:28 PM

#

LIBGEN 'EM ALL

dapper root Nov 29, 2020, 4:36 PM

#

warped cedar is it worth getting a book about ring theory

No, but a book on commutative algebra is basically this

#

As well as module theory

#

Tbh the theory of rings proper isn’t all that amazing, I mean I’m sure there’s a lot of stuff you can say, and if you look away from commutative stuff more I guess. But rings really come into their own when you consider them in combination with modules

#

Modules kind of “fix” what’s wrong with rings, and can be stated simply as the fact that the category of rings is trash (kernels aren’t rings if you require a ring to have identity), but modules over a fixed ring is an abelian category

sudden kindle Nov 29, 2020, 5:09 PM

#

the purpose of modules is to help study rings

calm crane Nov 29, 2020, 5:32 PM

#

warped cedar anyone have any good abstract algebra book recommendations?

jacobson

fast portal Nov 29, 2020, 5:39 PM

#

hungerford

ancient flare Nov 29, 2020, 9:33 PM

#

mandem

#

So I was looking at some "Elementary Number Theory" books but there are multiple authors.

#

May someone recommend the most concise for a beginner.

fast portal Nov 29, 2020, 9:34 PM

#

Topology of Numbers (Allen Hatcher)

ancient flare Nov 29, 2020, 9:36 PM

#

Is Elementary Number Theory by David B good?

fast portal Nov 29, 2020, 9:37 PM

#

yea

#

both are fine, pick whichever you vibe best with

ancient flare Nov 29, 2020, 9:51 PM

#

you recommend any good combinatoric books for olympiads>

storm sleet Nov 29, 2020, 9:55 PM

#

For Star_, A book of Abstract algebra by Pinter is decent and pretty cheap

warped cedar Nov 29, 2020, 9:57 PM

#

that does seem nice but informal

marble solar Nov 29, 2020, 10:01 PM

#

@sage python I did all of the first section of Fulton Alg. Top. exercises last night

#

How can ppl not recommend this book? Even if you want to go onto like Hatcher

#

This is really good intuition with explicit examples and integrating

#

All you need is calc 3 and a little bit of brain power

sage python Nov 29, 2020, 10:04 PM

#

I mean some people are ready to just start Hatcher

#

In which case Fulton is an unnecessary diversion

marble solar Nov 29, 2020, 10:04 PM

#

I think there are things in there that Hatcher doesn't do

#

Like Riemann surfaces algebraic curve type stuff

sage python Nov 29, 2020, 10:04 PM

#

Sure which can be learned elsewhere

#

Fulton's probably quite good, especially for certain folk, don't get me wrong

marble solar Nov 29, 2020, 10:05 PM

#

I think it's better than Hatcher for my interests right now

sage python Nov 29, 2020, 10:05 PM

#

But it's not a holy grail necessarily, and if you wanna continue in algebraic topology other books are better

marble solar Nov 29, 2020, 10:05 PM

#

Because I don't need a lot of the fancier topological structures/machinery

#

A passing familiarity would be fine for now

sage python Nov 29, 2020, 10:05 PM

#

e.g. Rotman if you're less geometric, Hatcher if you're more geometric

marble solar Nov 29, 2020, 10:05 PM

#

Maybe in the future I'll need more machinery

#

I've worked through chapter 0 & 1 of Hatcher - it's really good

#

but it seems overbearing at times

#

It's also nice seeing how stokes theorem plays a part in alg. top. from the beginning

#

IDK, I think I've just become a huge fan of this text

#

Alright - here ye here ye

#

READ ALL OF FULTON'S WORKS

#

THEY ARE ALL THAT GOOD

sage python Nov 29, 2020, 10:10 PM

#

Fulton's prob the right perspective for you on algebraic topology

marble solar Nov 29, 2020, 10:16 PM

#

I am a SIMP

#

For FULTON

#

Algebraic Curves = Good

#

Algebraic Topology = Good

sage python Nov 29, 2020, 10:22 PM

#

Next you gotta read intersection theory

ripe granite Nov 29, 2020, 10:34 PM

#

heard fulton's intersection theory is hard af lol

#

3264 and all that seems like a very nice book

marble solar Nov 29, 2020, 11:00 PM

#

What book?

#

3264?

ripe granite Nov 29, 2020, 11:01 PM

#

3264 and all that

#

that's the name of the book lol

marble solar Nov 29, 2020, 11:02 PM

#

what a chad name

ripe granite Nov 29, 2020, 11:02 PM

#

it's a reference to the number of smooth conics tangent to 5 conics in general position

#

in P2

#

but yeah, seems easier to read compared to fulton

marble solar Nov 29, 2020, 11:06 PM

#

ahh - I like Fulton smol boi books

#

Alg. Top., alg. curves, and his rep theory

#

those are the small mind moon bears ones

ripe granite Nov 29, 2020, 11:07 PM

#

i need to read the rep theory book

marble solar Nov 29, 2020, 11:07 PM

#

Get a 197 or something

#

Is gieseker emeritus?

#

Just go up to Gieseker and ask!

ripe granite Nov 29, 2020, 11:08 PM

#

I've done too many 197s

marble solar Nov 29, 2020, 11:08 PM

#

Oh LOL

ripe granite Nov 29, 2020, 11:08 PM

#

I dont think I can do anymore

marble solar Nov 29, 2020, 11:08 PM

#

How many have you done?

#

3?

ripe granite Nov 29, 2020, 11:08 PM

#

yup

#

12 units

marble solar Nov 29, 2020, 11:08 PM

#

Ahh - can you do the grad version

#

it's like the 280s or so

ripe granite Nov 29, 2020, 11:09 PM

#

I think you need the graduate vice chair's approval for that lol

marble solar Nov 29, 2020, 11:09 PM

#

who's the vice chair?

#

I know Bonk is the chair

ripe granite Nov 29, 2020, 11:09 PM

#

gangbo I think

marble solar Nov 29, 2020, 11:09 PM

#

Gangbo won't give a fuck

grand flax Nov 29, 2020, 11:10 PM

#

Where can I find the times tables?

ripe granite Nov 29, 2020, 11:10 PM

#

uhh, annals of math

elfin glacier Nov 29, 2020, 11:10 PM

#

anals of math

grand flax Nov 29, 2020, 11:10 PM

#

Where that?

ripe granite Nov 29, 2020, 11:10 PM

#

look it up

gray gazelle Nov 29, 2020, 11:11 PM

#

@grand flax if you can manage finding the annals of mathematics, you should be able to manage finding a times table

#

this is a test

obsidian valley Nov 29, 2020, 11:11 PM

#

Find a times table in annals

#

KEK

grand flax Nov 29, 2020, 11:12 PM

#

There is no chart?

gray gazelle Nov 29, 2020, 11:12 PM

#

sully

ripe granite Nov 29, 2020, 11:12 PM

#

there is

grand flax Nov 29, 2020, 11:12 PM

#

Where

ripe granite Nov 29, 2020, 11:12 PM

#

look in there

gray gazelle Nov 29, 2020, 11:12 PM

#

look harder

grand flax Nov 29, 2020, 11:12 PM

#

Confusion.

gray gazelle Nov 29, 2020, 11:12 PM

#

as a professional mathematician, i reference the annals times table daily

#

you should be able to find it

ripe granite Nov 29, 2020, 11:12 PM

#

the IUTT papers have them too

grand flax Nov 29, 2020, 11:12 PM

#

I mean just a time table chart

obsidian valley Nov 29, 2020, 11:12 PM

#

professional mathematician

#

reads one expository RG paper

gray gazelle Nov 29, 2020, 11:13 PM

#

you mean the first few pages of one

#

hmmm

grand flax Nov 29, 2020, 11:13 PM

#

fishthonk

gray gazelle Nov 29, 2020, 11:13 PM

#

author started talking about geodesic polar coordinates so i had to go find those

#

and then i realized

#

after avoiding coordinates for so long i forgot how to use them

#

opencry

#

it's too easy to just say "oh this thing is obviously well-defined if you just write it in coordinates"

#

a trap i fell in to

#

pain.

ripe granite Nov 29, 2020, 11:15 PM

#

ye lmao

#

coordinates can be deceiving

#

I thought you could always write $d = \partial + \bar{\partial}$

hasty eagleBOT Nov 29, 2020, 11:16 PM

#

Brofibration

📎 351398829238648832.png

gray gazelle Nov 29, 2020, 11:16 PM

#

not to mention the author's curvature convention is different from the one i'm used to pepega

#

i'm convinced do carmo smoked a bowl every time he sat down to write a chapter of his RG book

ripe granite Nov 29, 2020, 11:17 PM

#

I havent computed the curvature of a non-trivial connection yet

gray gazelle Nov 29, 2020, 11:18 PM

#

as they say, write inebriated edit sober

ripe granite Nov 29, 2020, 11:18 PM

#

and it's been 6 weeks since we introduced them

gray gazelle Nov 29, 2020, 11:18 PM

#

ripe granite I havent computed the curvature of a non-trivial connection yet

do not, it is not worth it

#

opencry .

gray gazelle Nov 29, 2020, 11:18 PM

#

gray gazelle as they say, write inebriated edit sober

if you replace inebriated with sleep-deprived, that was me checking over my complex analysis homework earlier

#

let me find the part where i forgot how inequalities work

#

|f(z) - g(z)| &= |-z+1| \leq |z|+1 = 2,
|g(z)| &= |z^7-2z^5+6z^3| \leq |z|^7 + 2|z|^5 + 6|z|^3 = 9 > |f(z)-g(z)|

#

i feel like it's a legitimate strategy, sometimes it's easier to stay undistracted when you're drunk/sleep-deprived/etc. or like not feel so shitty thinking i have to do work, because i can't think anyway

#

yeah when i'm tired i can put more focus into something; not necessarily productive focus, but focus nonetheless

#

ah i c

#

hmmm

quartz pawn Nov 29, 2020, 11:40 PM

#

I understand that completely actually. My ADD does not make my mind wander so off to other places quite as often.

marble solar Nov 29, 2020, 11:42 PM

#

Do you take stimulants Don?

#

I have an ADHD diagnosis, and I'm wondering if stimulants would actually make me not brain fart all the time

sage python Nov 29, 2020, 11:49 PM

#

Considering buying Cassels-Frohlich tbh

marble solar Nov 29, 2020, 11:54 PM

#

Cassels frohlich?

sage python Nov 29, 2020, 11:55 PM

#

Algebraic Number Theory

quartz pawn Nov 29, 2020, 11:57 PM

#

No I don't have stimulants. I honestly don't even have a diagonsis but I've been recommended to a clinical pyschologist by my physician to get some testing done @marble solar .

#

I'm probably gonna get an official diagonsis within the coming month or so; still unsure if I want to take stimulants or not but it probably couldn't hurt to at least try them for a little while.

marble solar Nov 30, 2020, 12:00 AM

#

Yeah - all my friends who take prescribed stimulants say it works wonders for them

quartz pawn Nov 30, 2020, 12:01 AM

#

Same here.

marble solar Nov 30, 2020, 12:01 AM

#

So I've been thinking about it - but alas my spouse is like anti-drug

#

With good reasons, stimulants can really fuck you up

quartz pawn Nov 30, 2020, 12:06 AM

#

Oh yea lots of cardiovascular risk assocaited with them - heart disease from prolonged overruse / reliance.

#

Not mention neurological issues i.e. depression.

marble solar Nov 30, 2020, 12:08 AM

#

Yeah - and my family has history of heart disease/heart attacks

#

I'm pretty healthy, I exercise mostly regularly

#

(Or I did before covid)

queen dove Nov 30, 2020, 3:38 AM

#

is there any good place to get math books other than libgen if my library has failed me (other than paying money)

#

when I'm looking for specific books I mean, not just browsing

marble solar Nov 30, 2020, 3:39 AM

#

university library

#

Usually you can work something out to rent something

#

Even if you're not a student there

queen dove Nov 30, 2020, 3:39 AM

#

hmm, interesting

#

I'll try that out when stuff reopens for me

#

is libgen the only main piracy site?

marble solar Nov 30, 2020, 3:41 AM

#

hrmm

#

it might be

ripe granite Nov 30, 2020, 3:41 AM

#

springerlink

#

I think you could access all springerlink titles for free for a bit

#

might still be the case

queen dove Nov 30, 2020, 3:44 AM

#

doesn't seem free anymore

ripe granite Nov 30, 2020, 3:44 AM

#

RIP

#

If youre enrolled in a university with a university VPN, you might want to try again after connecting to it

#

some universities give you springerlink access

marble solar Nov 30, 2020, 3:47 AM

#

Enjoy your UCLA vpn while it lasts bro

sterile pelican Nov 30, 2020, 3:48 AM

#

I did use b-ok.cc a long time ago

queen dove Nov 30, 2020, 3:55 AM

#

in high school, not uni

#

the stuff on b-ok.cc seems to usually be linked on libgen, I think it's one of the sites libgen links to

calm crane Nov 30, 2020, 4:47 AM

#

scihub

lusty jacinth Nov 30, 2020, 6:19 AM

#

what are some good books for an intro to linear algebra? I head strangs intro to linear algebra 5th edition was nice but not much about any other books.

sterile pelican Nov 30, 2020, 6:23 AM

#

there is lang's intro to LA but if you want a bit more challenge, which I am currently doing, you can try hoffman and kunze's LA

#

You also have Axler's LA Done Right and Halmos' LA

obsidian basalt Nov 30, 2020, 6:35 AM

#

Best book for Linear Algebra?

hasty turret Nov 30, 2020, 6:36 AM

#

Definitely not strang

obsidian basalt Nov 30, 2020, 6:36 AM

#

I want to learn something pretty much complete if possible

#

(sorry for using the word complete, but you know what I mean, something that includes lot of topics if possible)

obsidian valley Nov 30, 2020, 6:37 AM

#

Definitely not Axler then KEK

hollow current Nov 30, 2020, 6:37 AM

#

Axler is good if you do not need determinants

#

somehow i wasted 3 hours and read 2 pages

📎 unknown.png

#

omegalol

#

ok lol 1.5 hours from that it was lecture so pdf was just opened

#

other 1.5 hours i listened to music

obsidian basalt Nov 30, 2020, 6:38 AM

#

My university it's making me read a book from Schaum series by Seymour lipschutz.
And I feel it is really... MEH?

#

if that makes sense

sterile pelican Nov 30, 2020, 6:39 AM

#

That either boils down to Hoffman and Kunze or Halmos

#

but learning LA from Halmos

#

I would say Hoffman and Kunze but again that varies with everyone here

obsidian basalt Nov 30, 2020, 6:40 AM

#

Thanks ❤️

calm crane Nov 30, 2020, 7:39 AM

#

h&k tho i havent seen halmos

sterile pelican Nov 30, 2020, 8:09 AM

#

Halmos is a really thin book

karmic thorn Nov 30, 2020, 11:23 AM

#

Are there any good resources to learn about plotting graphs? I'm not looking for a guide on plotting graphs of elementary functions, but rather understand how loci and curves work in general. (If you know about it already, I want to get good enough to write Batman Equation sort of stuff on my own to describe very arbitrary shapes on the Cartesian plane)

elfin glacier Nov 30, 2020, 11:26 AM

#

so like drawing the batman sign on a graph using equations?

#

very ambitious

molten wave Nov 30, 2020, 11:29 AM

#

that's uhh

#

fourier analysis my friend

karmic thorn Nov 30, 2020, 11:29 AM

#

Yeah, I first found that on MSE and it impressed me a lot.

#

Fourier Analysis monkaS

molten wave Nov 30, 2020, 11:29 AM

#

at least if you're referring to the stuff that w|a draws

#

,w second cat curve

hasty eagleBOT Nov 30, 2020, 11:30 AM

#

📎 wolf.png

#

📎 wolf.png

#

📎 wolf.png

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

molten wave Nov 30, 2020, 11:30 AM

#

this is fourier yes

karmic thorn Nov 30, 2020, 11:30 AM

#

I am looking for this sort of stuff, yes.

#

RIP

calm crane Nov 30, 2020, 11:30 AM

#

yea it is literally a fourier transform

molten wave Nov 30, 2020, 11:30 AM

#

truncated

karmic thorn Nov 30, 2020, 11:30 AM

#

How about basic cycloids, ellipsoids and stuff?

molten wave Nov 30, 2020, 11:30 AM

#

also series not transform

calm crane Nov 30, 2020, 11:30 AM

#

right yes

#

tbh same KEK

molten wave Nov 30, 2020, 11:31 AM

#

not really

#

you can truncate a fourier series in a useful way idk about an integral

calm crane Nov 30, 2020, 11:31 AM

#

there isnt really any thing dedicated to teaching how to draw graphs cuz like it isnt interesting and really you can just use functions you already know or like fourier the thing

calm crane Nov 30, 2020, 11:32 AM

#

molten wave you can truncate a fourier series in a useful way idk about an integral

i mean yea but like morally they are the same

molten wave Nov 30, 2020, 11:32 AM

#

I mean there's analytic geometry

calm crane Nov 30, 2020, 11:32 AM

#

at least to me

molten wave Nov 30, 2020, 11:32 AM

#

I had a class that was all about conics and shit

fast portal Nov 30, 2020, 11:32 AM

#

screaming

📎 unknown.png

karmic thorn Nov 30, 2020, 11:32 AM

#

molten wave I mean there's analytic geometry

It doesn't go into the level of depth I'm looking for.

#

@fast portal Hold on I just got something more wack from Wolfram, lemme show you

#

https://cdn.discordapp.com/attachments/704706679002103829/782925978216693800/wolf.png

#

I was trying to draw a curve and Wolfram won't give it to me

#

I asked for a solution, and this is what I get.

fast portal Nov 30, 2020, 11:33 AM

#

thinkies

#

I honestly wonder how old timey people did it without computers

karmic thorn Nov 30, 2020, 11:34 AM

#

Funny, GeoGebra gave the curve right away

karmic thorn Nov 30, 2020, 11:34 AM

#

fast portal I honestly wonder how old timey people did it without computers

True!

#

I looked at the book on algebraic curves Ultra suggested

molten wave Nov 30, 2020, 11:34 AM

#

just turn the mathematical crank

karmic thorn Nov 30, 2020, 11:34 AM

#

It had a shit-tonne of explainations on drawing ellipsoids and stuff manually

fast portal Nov 30, 2020, 11:35 AM

#

were they doable without a pc

karmic thorn Nov 30, 2020, 11:37 AM

#

I suppose they were 🤷

#

Btw what are the prereqs for fourier analysis?

fast portal Nov 30, 2020, 11:38 AM

#

The one I remember the most is diff Eq

molten wave Nov 30, 2020, 11:39 AM

#

idk about diff eq

karmic thorn Nov 30, 2020, 11:39 AM

#

Oh, okay. I'll have to wait to get to Fourier Analysis, then.

obsidian valley Nov 30, 2020, 11:39 AM

#

Like calc 3 no?

molten wave Nov 30, 2020, 11:39 AM

#

I think you might be fine with just basic real analysis and a bit of multivariate analysis

obsidian valley Nov 30, 2020, 11:39 AM

#

That's when we touch on FS

molten wave Nov 30, 2020, 11:39 AM

#

for like the latter bits

#

our fourier analysis class actually bundled in the topics on parameterized integrals

karmic thorn Nov 30, 2020, 11:42 AM

#

Okay.

wet furnace Nov 30, 2020, 2:45 PM

#

what's a good book for probability and statistics at highschool level

civic carbon Nov 30, 2020, 2:50 PM

#

I don't think Fourier stuff ever showed up in a course for me, it just became a thing I needed to know. the discrete fourier transform did come up a lot in my coursework.

drifting elm Nov 30, 2020, 5:10 PM

#

there was a book recommendation on numberphile perhaps but I can't remember the title. something like "pictures of graphs of interesting functions". not sure the name. google can't find it.

drifting elm Nov 30, 2020, 5:15 PM

#

karmic thorn Btw what are the prereqs for fourier analysis?

it is important to know that there are two major areas. the discrete fourier analysis and the discrete-time fourier analysis.

karmic thorn Nov 30, 2020, 5:15 PM

#

Oh, okay.

drifting elm Nov 30, 2020, 5:15 PM

#

I have the prerequisites lists here in front of me

#

it depends if you are also doing electrical engineering

#

or if you are a computer science student

#

if you are an EE you will study network analysis and filter design first

#

this includes laplace domain laplace transforms. models of signals and models of systems

stray veldt Nov 30, 2020, 5:21 PM

#

i would advise you to at least take real analysis beforehand

#

and possibly some complex

drifting elm Nov 30, 2020, 5:22 PM

#

you definitely need to be up on complex numbers %100

#

at least the unit circle adding angles

#

https://en.wikipedia.org/wiki/Angular_frequency

Angular frequency

In physics, angular frequency ω (also referred to by the terms angular speed, radial frequency, circular frequency, orbital frequency, radian frequency, and pulsatance) is a scalar measure of rotation rate. It refers to the angular displacement per unit time (e.g., in rotation) or the rate of change of the phase of a sinusoidal waveform (e.g., i...

stray veldt Nov 30, 2020, 5:23 PM

#

lmao that gif

drifting elm Nov 30, 2020, 5:23 PM

#

there are ways to do this using euler's formula

#

he is happy to know the formula 🙂

karmic thorn Nov 30, 2020, 5:26 PM

#

drifting elm it depends if you are also doing electrical engineering

I'll be starting as a math major soon.

marble solar Nov 30, 2020, 5:26 PM

#

Don't do it Ted, it's a tarp

drifting elm Nov 30, 2020, 5:27 PM

#

I think if you can do calc 2 then you will probably be ok in FFT

#

it is not going to be easy

#

there is an old paper "shannon's sampling theorem" that should help if you study discrete time fourier transform

#

it was the foundation for everything after it

karmic thorn Nov 30, 2020, 5:33 PM

#

marble solar Don't do it Ted, it's a tarp

Hahaha, analysis you mean?

karmic thorn Nov 30, 2020, 5:33 PM

#

drifting elm I think if you can do calc 2 then you will probably be ok in FFT

Sounds good!

#

But I guess I'll postpone it till I finish real analysis.

drifting elm Nov 30, 2020, 5:34 PM

#

ok I found what I was looking for in the book. you need "solutions to linear differential equations with constant coefficients"

#

laplace transform, z-transform, euler's formular for complex numbers, geometric series.

#

@karmic thorn

karmic thorn Nov 30, 2020, 5:37 PM

#

Will take a look, thank you.

#

I'll be taking a differential equations class next year, might be a good idea to get some insight before starting.

drifting elm Nov 30, 2020, 5:38 PM

#

this is even more specific than that

#

all ODE with constant coefficients

#

you can learn this in 1 day

karmic thorn Nov 30, 2020, 5:39 PM

#

Lmao, will take a look right away then.

drifting elm Nov 30, 2020, 5:46 PM

#

wet furnace what's a good book for probability and statistics at highschool level

https://www.ebay.com/itm/Southwestern-Advantage-MATH-II-2-Mathematics-Textbook-Home-school-1201-2432-/163333857880

eBay

Southwestern Advantage MATH II (2) Mathematics Textbook Home school...

This book is in great shape and covers topics such as statistics and probability, Algebra, calculus, and math index. This book was extremely helpful for me In high school and will help you out to!

sterile pelican Dec 1, 2020, 5:25 AM

#

What do you guys think of Spivak's Physics for Mathematicians: Mechanics?

marble solar Dec 1, 2020, 5:26 AM

#

It's interesting

#

I didn't understand the first few pages

#

cuz moon a dumb dumb

gray gazelle Dec 1, 2020, 5:27 AM

#

it's by spivak so it's gotta be good

#

hmmm

marble solar Dec 1, 2020, 5:27 AM

#

I think that one is too much

sterile pelican Dec 1, 2020, 5:27 AM

#

His manifolds book is not that great though

ripe granite Dec 1, 2020, 5:28 AM

#

Arnold's mathematical methods of classical mech is pretty good

marble solar Dec 1, 2020, 5:28 AM

#

yA wrOng aboUt tHat nEkO

sterile pelican Dec 1, 2020, 5:28 AM

#

I think it is good just not as good as his single variable

gray gazelle Dec 1, 2020, 5:28 AM

#

sterile pelican His manifolds book is not that great though

yeah i'm gonna have to disagree with you on that one

marble solar Dec 1, 2020, 5:28 AM

#

yA rIght About thaT

sterile pelican Dec 1, 2020, 5:29 AM

#

Like I said it is still quite good just in comparison with his single variable book

gray gazelle Dec 1, 2020, 5:29 AM

#

i am going to let you know

#

if moonbears and i are in the chat

#

it is spivak CoM fanclub

#

hmmm

sterile pelican Dec 1, 2020, 5:30 AM

#

so that means you also read his entire differential geometry books?

gray gazelle Dec 1, 2020, 5:30 AM

#

opencry

#

no one has ever done that

sterile pelican Dec 1, 2020, 5:30 AM

#

:^)

gray gazelle Dec 1, 2020, 5:30 AM

#

i'm still a differential geometry baby

ripe granite Dec 1, 2020, 5:30 AM

#

his diff geo books do have pretty covers tho

gray gazelle Dec 1, 2020, 5:30 AM

#

i know at most the contents of vol 1 and 2

#

at the absolute most

#

wtf is 3-5 anyways

sterile pelican Dec 1, 2020, 5:31 AM

#

I didn't read them how are they?

gray gazelle Dec 1, 2020, 5:31 AM

#

catshrug

sterile pelican Dec 1, 2020, 5:31 AM

#

nani

gray gazelle Dec 1, 2020, 5:31 AM

#

catshrug

#

~~no one actually reads spivak comprehensive~~

marble solar Dec 1, 2020, 5:32 AM

#

vlolume 1-2

#

are good

#

3-5 is a mystery

gray gazelle Dec 1, 2020, 5:32 AM

#

i'm still angry about this rg problem

#

just thought i should bring that up

#

tfw the only parts of "closed manifold diffeomorphic to even dimensional sphere" you need to solve a problem are "orientable, even dimension"

#

like bruh

steel viper Dec 1, 2020, 5:33 AM

#

is this spivak

gray gazelle Dec 1, 2020, 5:33 AM

#

talk about wasting time opencry

steel viper Dec 1, 2020, 5:33 AM

#

i saw 5 volumes

gray gazelle Dec 1, 2020, 5:33 AM

#

yes

steel viper Dec 1, 2020, 5:33 AM

#

??

#

tterra rageW

gray gazelle Dec 1, 2020, 5:33 AM

#

the book udner discussion is spivak

#

i was just ranting about my bad hw problem

steel viper Dec 1, 2020, 5:33 AM

#

oh ok

sterile pelican Dec 1, 2020, 5:33 AM

#

sterile pelican What do you guys think of Spivak's Physics for Mathematicians: Mechanics?

I was asking about this particular book

molten linden Dec 1, 2020, 12:50 PM

#

i've read gelfand's algebra should i read his other books as well?

sterile pelican Dec 1, 2020, 1:41 PM

#

Sure his Functions & Graphs, and Method of Coordinates are great too

#

After that you could try some other books like Lang's Short Calculus or Spivak's The Hitchhicker's Guide to Calculus

runic oar Dec 1, 2020, 3:26 PM

#

hallo

gray gazelle Dec 1, 2020, 3:27 PM

#

#❓how-to-get-help

molten linden Dec 1, 2020, 4:47 PM

#

sterile pelican Sure his Functions & Graphs, and Method of Coordinates are great too

okay then thanks

fossil island Dec 1, 2020, 10:23 PM

#

Thoughts on *Matrix Analysis & Applied Linear Algebra * by Meyer for a second course in linear algebra (graduate level)? Should get up to SVD and maybe Jordan form http://www.cse.zju.edu.cn/eclass/attachments/2015-10/01-1446085870-145420.pdf

gray gazelle Dec 1, 2020, 10:25 PM

#

tbh that table of contents looks like a first course in linear algebra

#

hmmm

#

but i do like the selection

static crest Dec 1, 2020, 10:25 PM

#

graduate level though?

gray gazelle Dec 1, 2020, 10:25 PM

#

nah

hearty steppe Dec 1, 2020, 10:25 PM

#

Meyer is ok. Go for Friedberg et al “elementary linear algebra - A Matrix Approach”

gray gazelle Dec 1, 2020, 10:26 PM

#

oh poros did you know uoft has a grad linalg course now?

static crest Dec 1, 2020, 10:26 PM

#

oh really?

gray gazelle Dec 1, 2020, 10:26 PM

#

or something like t hat

#

lemme find

#

its more on the applied side iirc

#

📎 unknown.png

#

nothing about it on the prof's site pensivebread

static crest Dec 1, 2020, 10:27 PM

#

damn, hadn't heard of it before

#

maybe if I do masters at uoft

gray gazelle Dec 1, 2020, 10:27 PM

#

it's completely new

gray gazelle Dec 1, 2020, 10:29 PM

#

hearty steppe Meyer is ok. Go for Friedberg et al “elementary linear algebra - A Matrix Approa...

isn't this just an easier version of the other linear algebra book by the same authors?

marble solar Dec 1, 2020, 10:29 PM

#

Symplectic

gray gazelle Dec 1, 2020, 10:29 PM

#

they're asking for a graduate level textbook and the linalg book by FIS is in no way graduate level

marble solar Dec 1, 2020, 10:29 PM

#

Symplectic

#

Geometry

#

Geometry

gray gazelle Dec 1, 2020, 10:29 PM

#

zoomEyes

gray gazelle Dec 1, 2020, 10:32 PM

#

fossil island Thoughts on *Matrix Analysis & Applied Linear Algebra * by Meyer for a second co...

📎 Roman_-_Advanced_Linear_Algebra.pdf

#

tinktonk hmmm

fossil island Dec 1, 2020, 10:33 PM

#

Thanks

static crest Dec 1, 2020, 10:33 PM

#

didn't know the romans did lin alg

fossil island Dec 1, 2020, 10:33 PM

#

I'm looking at some of the later stuff in the book and I don't think I learned it in my first course

#

the meyer book, that is

static crest Dec 1, 2020, 10:34 PM

#

oh damn, that actually seems like a nice tb @gray gazelle

fossil island Dec 1, 2020, 10:34 PM

#

i do like the springer aesthetic of the roman book

gray gazelle Dec 1, 2020, 10:34 PM

#

inb4 "first linalg course" refers to a course where you learn how to row reduce

#

and only row reduce

fossil island Dec 1, 2020, 10:35 PM

#

*learns how to put entries into matrices*

gray gazelle Dec 1, 2020, 10:35 PM

#

i am biased but i think the book by friedberg insel spence (NOT the one c4t recommended) is perfect for a 1st course

#

that, or axler

#

but that is not the subject here

fossil island Dec 1, 2020, 10:35 PM

#

yeah that's the book i learned from

#

well what would be the key topics in a graduate linear algebra course

gray gazelle Dec 1, 2020, 10:35 PM

#

roman's toc

#

or you'd just have linear algebra in the form of module theory in the core algebra course opencry

marble solar Dec 1, 2020, 10:36 PM

#

I think Roman is a professor at Irvine

#

I could be wrong tho

fossil island Dec 1, 2020, 10:37 PM

#

well some of the topics in roman seem like they'd be covered in functional analysis

gray gazelle Dec 1, 2020, 10:37 PM

#

hmmm

fossil island Dec 1, 2020, 10:37 PM

#

hmMMMMmmm

#

i wonder why

gray gazelle Dec 1, 2020, 10:38 PM

#

hmmm hmmm hmmm hmmm hmmm hmmm hmmm hmmm hmmm hmmm hmmm hmmm hmmm hmmm hmmm

#

oh yeah

#

there's some stuff on hilbert spaces and whatnot

#

neat

#

📎 unknown.png

fossil island Dec 1, 2020, 10:39 PM

#

it's honestly not that much

#

50 pages

gray gazelle Dec 1, 2020, 10:39 PM

#

still something

#

catshrug

fossil island Dec 1, 2020, 10:41 PM

#

yeah meyer seems quite a bit less rigorous

#

focusing more so on applied stuff, hence the name

#

matrix stuff

hearty steppe Dec 1, 2020, 10:46 PM

#

Meyer just doesn't really have much compared to Friedberg et al

#

and Friedberg et al has plenty of exercise problems

fossil island Dec 1, 2020, 10:53 PM

#

hearty steppe Meyer just doesn't really have much compared to Friedberg et al

you mean content wise that meyer doesn't cover as much?

gray gazelle Dec 1, 2020, 10:57 PM

#

what a shitty table of contents (formatting wise)

📎 unknown.png

#

is there a better one for the book c4t rec'd?

#

also uh

#

those are out of order opencry

#

i have a strong doubt that meyer covers less than this book and an even stronger urge to confirm that doubt

hearty steppe Dec 1, 2020, 11:06 PM

#

fossil island you mean content wise that meyer doesn't cover as much?

Uh I mean I think Friedberg et al is more organized and obviously covers in better depth.

static crest Dec 1, 2020, 11:06 PM

#

gray gazelle what a shitty table of contents (formatting wise)

why are the author names between every line

#

lmao?

gray gazelle Dec 1, 2020, 11:06 PM

#

no clue

fossil island Dec 1, 2020, 11:06 PM

#

hearty steppe Uh I mean I think Friedberg et al is more organized and obviously covers in bett...

I think they just cover different topics

hearty steppe Dec 1, 2020, 11:06 PM

#

TTerra why do you always emoji me like that

#

xD

#

definitely pick up a theoretical linear algebra book while going thru an applied book

gray gazelle Dec 1, 2020, 11:07 PM

#

such as roman

hearty steppe Dec 1, 2020, 11:07 PM

#

I like Lang and Janich

gray gazelle Dec 1, 2020, 11:07 PM

#

hmmm

static crest Dec 1, 2020, 11:07 PM

#

how many tbs has lang written

hearty steppe Dec 1, 2020, 11:07 PM

#

damn you want to make people go thru hell reading graduate level text don't you lol

gray gazelle Dec 1, 2020, 11:07 PM

#

sully

static crest Dec 1, 2020, 11:07 PM

#

they literally asked for grad level??

hearty steppe Dec 1, 2020, 11:07 PM

#

i don't think so?

#

did they?

fossil island Dec 1, 2020, 11:08 PM

#

yeah i did

hearty steppe Dec 1, 2020, 11:08 PM

#

oh shit my bad

gray gazelle Dec 1, 2020, 11:08 PM

#

fossil island Thoughts on *Matrix Analysis & Applied Linear Algebra * by Meyer for a second co...

.

static crest Dec 1, 2020, 11:08 PM

#

📎 unknown.png

hearty steppe Dec 1, 2020, 11:08 PM

#

yea I mean

#

I like going off Abhijeets recommendations honestly cause so far they pretty much work 80% of the time

gray gazelle Dec 1, 2020, 11:08 PM

#

i'd recommend either freidberg insel spence "linear algebra" or axler for a first course and roman for a second

#

also

#

let me post an interesting one

hearty steppe Dec 1, 2020, 11:08 PM

#

give me a sec

gray gazelle Dec 1, 2020, 11:09 PM

#

📎 Curtis_Place_-_Abstract_Linear_Algebra.pdf

static crest Dec 1, 2020, 11:09 PM

#

abstract linear algebra

gray gazelle Dec 1, 2020, 11:09 PM

#

this LA book is a little unconventional

#

catThink

static crest Dec 1, 2020, 11:09 PM

#

aren't vector spaces part of like abstract algebra

hearty steppe Dec 1, 2020, 11:09 PM

#

ok

fossil island Dec 1, 2020, 11:09 PM

#

only 150 pages??

#

god that should be like lead

hearty steppe Dec 1, 2020, 11:09 PM

#

Trich have you tried Berberian and Shilov?

gray gazelle Dec 1, 2020, 11:09 PM

#

vector spaces are linear algebra

hearty steppe Dec 1, 2020, 11:09 PM

#

yet

gray gazelle Dec 1, 2020, 11:09 PM

#

📎 unknown.png

static crest Dec 1, 2020, 11:09 PM

#

I know vector spaces are linear algebra

hearty steppe Dec 1, 2020, 11:10 PM

#

try reading Berberian and Shilov

#

for second course in linear alg

fossil island Dec 1, 2020, 11:10 PM

#

yeah i have shilov

gray gazelle Dec 1, 2020, 11:10 PM

#

the thing is, "linear algebra" always gets turned into "row reduction course" because of the computational power of matrix stuff

hearty steppe Dec 1, 2020, 11:10 PM

#

ok

gray gazelle Dec 1, 2020, 11:10 PM

#

but like i know what you mean poros

fossil island Dec 1, 2020, 11:10 PM

#

i've tried reading it

static crest Dec 1, 2020, 11:10 PM

#

but aren't they technically also part of abstract algebra, which is just the study of algebraic structures (which a vector space is, I think)

gray gazelle Dec 1, 2020, 11:10 PM

#

yes

hearty steppe Dec 1, 2020, 11:10 PM

#

read Berberian first

#

then Shilov

#

then Roman

gray gazelle Dec 1, 2020, 11:10 PM

#

linear algebra \subset abstract algebra

hearty steppe Dec 1, 2020, 11:10 PM

#

in that order

fossil island Dec 1, 2020, 11:10 PM

#

oh god that's a lot of linear algebra

hearty steppe Dec 1, 2020, 11:10 PM

#

well

#

you can never learn enough linear algebra

#

😛

fossil island Dec 1, 2020, 11:10 PM

#

that is true

gray gazelle Dec 1, 2020, 11:10 PM

#

that's not what the graduate students meant when they said that

#

opencry

static crest Dec 1, 2020, 11:11 PM

#

is there like a non-applied grad lin alg course

#

at uoft?

gray gazelle Dec 1, 2020, 11:11 PM

#

probably the core algebra course lmao

#

closest you'll get

static crest Dec 1, 2020, 11:11 PM

#

rip

gray gazelle Dec 1, 2020, 11:11 PM

#

since it does module theory

fossil island Dec 1, 2020, 11:11 PM

#

uoft?

gray gazelle Dec 1, 2020, 11:11 PM

#

university of toronto

static crest Dec 1, 2020, 11:11 PM

#

guess it's a self learning kinda thing

#

then

gray gazelle Dec 1, 2020, 11:11 PM

#

poros and i go there

fossil island Dec 1, 2020, 11:11 PM

#

ahhh

gray gazelle Dec 1, 2020, 11:11 PM

#

i mean

#

a second linear algebra course could mean a lot of things

fossil island Dec 1, 2020, 11:12 PM

#

true, im more on the applied side of math

#

for whatever that means

gray gazelle Dec 1, 2020, 11:12 PM

#

squint hard enough and functional analysis can look like linear algebra

static crest Dec 1, 2020, 11:12 PM

#

thinkfold

#

sometimes I wish I did pure math

fossil island Dec 1, 2020, 11:13 PM

#

see that's what im worried about a bit

#

like i like computational biology and hence applied math

#

but i dont want to let go of pure math

gray gazelle Dec 1, 2020, 11:13 PM

#

so dont

#

tinktonk

static crest Dec 1, 2020, 11:13 PM

#

I mean I like what I'm doing right now, but I wish I also could've done pure math on top, but alas

#

just impossible

fossil island Dec 1, 2020, 11:13 PM

#

how didn't i think of that

static crest Dec 1, 2020, 11:13 PM

#

unless I do two bachelors

#

physically impossible to fit any decent amount of pure math courses into the course load

#

I know a friend of mine is just doing extra years in bachelors

fossil island Dec 1, 2020, 11:14 PM

#

you cant study baby rudin on top of a 25 credit semester?

static crest Dec 1, 2020, 11:14 PM

#

I'm taking 6-7 courses a semester

#

so I do believe I do not have time for rudin

hearty steppe Dec 1, 2020, 11:15 PM

#

who self studies real analysis reading baby Rudin anyway

#

seriously

gray gazelle Dec 1, 2020, 11:15 PM

#

fucking engineers opencry

hearty steppe Dec 1, 2020, 11:15 PM

#

what? engineers don't want to learn theoretical math

static crest Dec 1, 2020, 11:15 PM

#

I do

hearty steppe Dec 1, 2020, 11:15 PM

#

oh

fossil island Dec 1, 2020, 11:15 PM

#

then you're not an engineer

static crest Dec 1, 2020, 11:15 PM

#

I'm an engineer, I'm very rare though

hearty steppe Dec 1, 2020, 11:15 PM

#

well your special

static crest Dec 1, 2020, 11:15 PM

#

I know 2 in total in my year

#

3*

#

who care for theoretical math

hearty steppe Dec 1, 2020, 11:16 PM

#

you might as well go the engineer researcher route then

#

try to be engineer phd

static crest Dec 1, 2020, 11:16 PM

#

I am planning on staying in academia

fossil island Dec 1, 2020, 11:16 PM

#

Engineer-Mathematician Theorem
Engineers != Mathematicians

gray gazelle Dec 1, 2020, 11:16 PM

#

hmmm

static crest Dec 1, 2020, 11:16 PM

#

my summer research was all about homomorphic encryption, which just used a fuckton of lattice and galois theory

#

I didn't even feel like it was engineering

fossil island Dec 1, 2020, 11:16 PM

#

what year are you?

hearty steppe Dec 1, 2020, 11:17 PM

#

its not really engineering mate

static crest Dec 1, 2020, 11:17 PM

#

(except the parts where I had to implement parts of it)

hearty steppe Dec 1, 2020, 11:17 PM

#

its research

#

research != engineering

#

its really research engineering

#

which is like

static crest Dec 1, 2020, 11:17 PM

#

ya, that's what I enjoy

fossil island Dec 1, 2020, 11:17 PM

#

that's just throwing two rocks together

hearty steppe Dec 1, 2020, 11:17 PM

#

basically research and development

static crest Dec 1, 2020, 11:17 PM

#

I don't particularly care for being a wage slave

hearty steppe Dec 1, 2020, 11:17 PM

#

lmao

static crest Dec 1, 2020, 11:17 PM

#

although that opportunity does exist

#

if research doesn't pan out

fossil island Dec 1, 2020, 11:18 PM

#

but a wage slave mathematician is such an A E S T H E T I C

hearty steppe Dec 1, 2020, 11:18 PM

#

I don't think many people on this server want to be wage slave. Have you tried reading Abbott's "Understanding Analysis" it is an amazing book and it really breaks things down for you vs Rudin

fossil island Dec 1, 2020, 11:18 PM

#

yeah that's a solid book

hearty steppe Dec 1, 2020, 11:18 PM

#

yea I'm gona get through more of it soon

fossil island Dec 1, 2020, 11:19 PM

#

oh, the prof responded and said that tensors wont be covered in the class

gray gazelle Dec 1, 2020, 11:19 PM

#

fossil island oh, the prof responded and said that tensors wont be covered in the class

just take diffgeo and have them hammered into your skull

hearty steppe Dec 1, 2020, 11:19 PM

#

are there actually pre-reqs for diff geo?

#

I forgot if there are

fossil island Dec 1, 2020, 11:19 PM

#

precalculus

hearty steppe Dec 1, 2020, 11:19 PM

#

lol

wet furnace Dec 1, 2020, 11:19 PM

#

lol

gray gazelle Dec 1, 2020, 11:20 PM

#

hearty steppe are there actually pre-reqs for diff geo?

classical: multivariable calculus, probably some linear algebra and diffeq
differential-topological: topology, linear algebra, and the previous stuff

#

in my experience

hearty steppe Dec 1, 2020, 11:20 PM

#

ahh ok i was thinking of learning point-set topology a little and then going ham and trying to jump into Manifolds and other shit

fossil island Dec 1, 2020, 11:20 PM

#

good book for self studying diff geo?

gray gazelle Dec 1, 2020, 11:20 PM

#

do carmo ig

static crest Dec 1, 2020, 11:20 PM

#

hearty steppe I don't think many people on this server want to be wage slave. Have you tried r...

I have not, but it seems interesting, I'll put it in my tb queue. I have to work through "Computational Number Theory" by Shoup first for my upcoming internship the coming summer

fluid bay Dec 1, 2020, 11:21 PM

#

i wanna read some of lee this christmas

hearty steppe Dec 1, 2020, 11:21 PM

#

but people have mentioned also that Cummutative Algebra is important for modern geo stuff?

gray gazelle Dec 1, 2020, 11:21 PM

#

LOL

static crest Dec 1, 2020, 11:21 PM

#

cummutative?

#

thinkingbread

hearty steppe Dec 1, 2020, 11:21 PM

#

err

gray gazelle Dec 1, 2020, 11:21 PM

#

classical: do carmo's curves and surfaces
differential-topological:
-lee is the standard recommendation, fantastic book
-tu is also good, but it's a lot easier and covers much less ground
there's also guillemin and pollack if you want to go hard in the topological aspects of the theory
differential-geometrical:
-lee's riemannian geometry book, same quality as his ISM if not better
-do carmo's RG is very "to-the-point"

hearty steppe Dec 1, 2020, 11:22 PM

#

yea Commutative algebra, I had to double check

fossil island Dec 1, 2020, 11:22 PM

#

thoughts on diff geo for like ai/comp bio stuff?

hearty steppe Dec 1, 2020, 11:22 PM

#

some people on this server have mentioned it is a helpful way to get into algebraic topology and algebraic geo stuff

gray gazelle Dec 1, 2020, 11:22 PM

#

algebraic geometry yeah

#

but topology? no

hearty steppe Dec 1, 2020, 11:23 PM

#

not regular topology

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algebraic

gray gazelle Dec 1, 2020, 11:23 PM

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still not really

hearty steppe Dec 1, 2020, 11:23 PM

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oh, ok good to know i guess?

ripe granite Dec 1, 2020, 11:23 PM

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depends on the kind of algebraic topology

gray gazelle Dec 1, 2020, 11:23 PM

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right

hearty steppe Dec 1, 2020, 11:23 PM

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there it is, the catch 22

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always one of those lol

gray gazelle Dec 1, 2020, 11:23 PM

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i'm hesitant to say for certain because my algebraic topology knowledge is bounded above by the second half of munkres' topology book

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which is basically nothing in the grand scheme of things

hearty steppe Dec 1, 2020, 11:24 PM

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I might start reading Munkres in a few months. I am a little worried of trying to do too many math subjects at a time too soon

gray gazelle Dec 1, 2020, 11:25 PM

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you can get into basic algebraic topology only needing like, the definition of a group

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but past that you definitely need more algebra

hearty steppe Dec 1, 2020, 11:25 PM

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yea

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I also want to prioritize linear algebra and real analysis along with passively getting thru the rest of this prob stats book

fossil island Dec 1, 2020, 11:27 PM

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what book are you using?

hearty steppe Dec 1, 2020, 11:27 PM

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for what

fossil island Dec 1, 2020, 11:27 PM

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prob stats

hearty steppe Dec 1, 2020, 11:27 PM

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Walpole et al

fossil island Dec 1, 2020, 11:27 PM

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I've been really liking Hogg et all

hearty steppe Dec 1, 2020, 11:27 PM

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theres like 18 chapters of material so its definitely enough for a foundation to get more into it

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and generally a lot of exercises

sage python Dec 1, 2020, 11:28 PM

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Did someone say differential topology earlier?

hearty steppe Dec 1, 2020, 11:28 PM

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Terra did