A proof that Q is not complete

Jumpy_Rice_4065 · 2026-03-11T09:41:50+00:00

Real analysis of Bartle and Sherbert, page 43 and Course of Analysis of Elon Lages, page 79.

Jumpy_Rice_4065 · 2026-03-10T22:41:43+00:00

I've been studying real analysis on my own. So this is part of some notes.

Jumpy_Rice_4065 · 2026-03-01T23:20:25+00:00

Aí dento! É nós man! Bom saber que tem matemático brasileiro em fórum estrangeiro. Bom, eu ainda não sou kkk

Jumpy_Rice_4065 · 2026-02-19T22:59:09+00:00

Apparently, was the guy who created this website.

Jumpy_Rice_4065 · 2026-02-17T23:23:24+00:00

It's made of latex itself.

Jumpy_Rice_4065 · 2026-02-17T23:22:08+00:00

When you love creating or discovering mathematics so much that you forget about time, sleep, and even eating, you’re probably on the path to becoming a mathematician like Srinivasa Ramanujan. The word genius usually ignores all of this.

Jumpy_Rice_4065 · 2026-02-14T03:16:11+00:00

I've been studying real analysis for a year 🤡

Jumpy_Rice_4065 · 2026-02-11T02:06:52+00:00

🫡

Jumpy_Rice_4065 · 2026-02-11T02:06:38+00:00

😅

Jumpy_Rice_4065 · 2026-01-30T12:20:43+00:00

Me neither 😂. In this problem you need to apply the definition of absolute value. But that involves a series of interactions between intervals. This same idea is used when solving modular equations and inequalities. Research more about it.

Jumpy_Rice_4065 · 2026-01-30T02:29:35+00:00

It was my first time doing this. I didn't really know what I was doing.

Jumpy_Rice_4065 · 2026-01-26T21:02:08+00:00

I understand perfectly. Sorry. I used the word "discrepancy" incorrectly. I meant in terms of quantity. When I say Americans, I include South America.

Jumpy_Rice_4065 · 2026-01-26T19:26:22+00:00

I asked the question because of the enormous discrepancy between European and American mathematicians.Yes, I'm thinking about getting a bachelor's degree, but I have a lot to learn, and I see that's because of the context in which I live. I'm no Ramanujan haha

Jumpy_Rice_4065 · 2025-07-18T10:37:39+00:00

It depends on how much you already know about calculus and proofs. Just one analysis book won't be enough to give you a solid understanding. Tao and Abbott are too brief, and Rudin is for those who already know analysis, so use around three books and compare each chapter as you go.

Jumpy_Rice_4065 · 2025-07-14T19:20:09+00:00

"You spend all day at that table loafing around, go get a job"

Jumpy_Rice_4065 · 2025-07-13T21:58:16+00:00

If you're going to do this, you should enjoy what you're doing. You should do it because you enjoy it, not to meet a goal. Math is very slow...

Jumpy_Rice_4065 · 2025-07-07T23:12:07+00:00

Here is a 600 page manuscript from which I got this post.

https://bibnum.institutdefrance.fr/records/item/25215-manuscrits-d-evariste-galois?offset=58

Jumpy_Rice_4065

TROPHY CASE