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What's an analyst's favorite food?
Lim sup!
“hmm… yes, I would like my abstraction, my abstraction of that abstraction, and my abstraction of my abstraction of my abstraction”
Thoughts on buying a real analysis textbook? Just because (self-studying).
Sure, but maybe work with whatever book you're thinking of without buying it (like, just get a pdf of it) first, to ensure that the book fits you as a student.
There are no books I can really vouch for as I didn't learn real analysis from a textbook but I've heard good things about Tao's Analysis I.
Best of luck :)
starting the second term of uni and this is where they start introducing the notion of balls and norms and stuff in like every module ever. life is beginning to feel like if someone shoved me into a ball pit and held my head under there like a school bully trying to drown a guy under water in those teen dramas because I'm guessing I have probably heard the word 'ball' more times than I've drank water in a day

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A collection of quotes I kept from math/stat profs during a particularily wild semester
"Santa Claus is a lie"
"You don't need to pay for [the textbook] I'm not friends with the author"
"If you are yelling at each other over a blackboard you will make me happy"
"Some of you want to be here, some of you have to be here"
"You don't even need God to create the natural numbers"
"People Expire"
"I once heard students say "[our prof] is super smart but can't teach", I hope by the end of the course you'll say "that guy isn't super smart but that dumb dyslexic son of a bitch sure can teach""
"As a mathematician, you get paid to essentially do nothing. You're like a STEM politician"
"How many math kids are there? They should buy you some fucking white boards"
"Why do I keep finding naked babies everywhere?"
"You don't have space in your brain to memorize something so stupid"
"This is what physicists do, we don't do that shit"
"This was peak caffeine when I solved this "
"There was no point to this story I've just had a lot of caffeine"
"Do you know what we're doing in this course? Do you know what we're studying?"
"If this building caught on fire we'd all die together. Cheers!"
"Why are we celebrating Jesus' death?"
"I almost did math in blood my first day in here"
"Galois Theory made me cry on February 8, 2012"
"Otherwise you'd have to think with your brain, and that's no fun"
"Does anyone else schedule their mental breakdowns?"
Kinda sad that mathcore doesn't have anything to do with Real Analysis.