/mg/ - Math General

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I agree! My physical intuitions actually told me this :D

I've spent the whole summer up to this point doing gen eds and have barely had anytime to do math. How screwed am I for this upcoming semester? It's only Calc III and an intro proof course so it's not too tough but I am a brainlet.

Try gaining some additional physical intuition for the math and you'll be fine. That's what I usually do lol
I don't even read any "books".

logicmatters.net/2017/01/01/teach-yourself-logic-2017
>Analytic propositions

Why does Stone's theorem require the one-parameter group to be strongly continuous? What if I only have the weak operator topology?

lol way to throw the baby out with the bathwater. You do realize you don't have to agree with everything someone says in order to get useful value out of them right? Stop being so 1 dimensional

>Analytic propositions don't require axioms...
Example?

At what point can an autodidact pick up an "Advanced Calculus" text, or even an "Analysis" text?

I've been working through Keisler's "Elementary Calculus" and have just finished learning about Integrals. I own a copy of an Advanced Calculus text. Looking through the TOC, there's quite a bit of overlap between that text and introductory calculus texts. Pic is a page from the TOC of the book in question.

I also recently picked up a copy of Apostol's "Mathematical Analysis" at an estate sale, which also seems very accessible.

I already have a foundation in logic, set theory, algebra, and trig, in addition to the calc I've already learned. Can I just dive into the "Advanced Calculus" or even "Mathematical Analysis" texts at this point?

I would encourage you to finish a computational calculus book before trying to proceed to those other two books. It will build the necessary background and mathematical maturity. I honestly might advise you to use a different book than Keisler's, he takes a pretty non-standard approach, the books by Stewart and Kline would be more traditional.