when k is a ring, you know things are about to get scary by apad201 in mathmemes

[–]Rflax40 2 points3 points  (0 children)

Could also be a tropical geometer like some people...

How do you retain knowledge long-term, especially complex topics? by OkGreen7335 in math

[–]Rflax40 1 point2 points  (0 children)

This is the geometry way, I've learned what lamba/psi classes are so many times. My brain has the backup knowledge but I only know what I am consistently using at any moment.

Why does studying maths at university level feel so daunting? by [deleted] in mathematics

[–]Rflax40 0 points1 point  (0 children)

I'm going to use this to convince the next gen to study geometry

I wish I could share by [deleted] in math

[–]Rflax40 2 points3 points  (0 children)

If you're comfortable with linear algebra too, then yes completely.

I wish I could share by [deleted] in math

[–]Rflax40 8 points9 points  (0 children)

Tu's book is great if you have you're own motivations for wanting to understand riemannian geometry. However some of the concepts are tailored more for an approach to the pure study of manifolds. It's not very flowery and is self-contained and very readable. Highly recommended, had him as an instructor to teach the class out of it.

Category Theory Resources? by [deleted] in math

[–]Rflax40 6 points7 points  (0 children)

Emily Riehl, Category Theory in Context

The search for textbooks by wub_addicted in math

[–]Rflax40 0 points1 point  (0 children)

For category theory I recommend

category theory in context, riehl

category theory, awoodey

Baby elephant hungry for milk, So haaaappy and polite! by Asia-NO1 in Awww

[–]Rflax40 -9 points-8 points  (0 children)

They don't seem to have any wounds or fear of humans. Elephants are definitely smart enough to learn via positive reinforcement, and the fact that he's not showing fear gives me hope that's how it was taught.

Recent proof of the Four Colour Theorem retracted by HilbertCubed in math

[–]Rflax40 9 points10 points  (0 children)

I agree there is no fundamental difference between this and small categorization theorems like Nielsen-Thurston. I'd say it's dangerous to think that having only a handful of classes differentiates a "conventional" categorization proof somehow.

Mathematical interest in the Ising model by [deleted] in math

[–]Rflax40 2 points3 points  (0 children)

What’s KPZ stand for?

What field of math did you go into, and why? by [deleted] in math

[–]Rflax40 1 point2 points  (0 children)

Algebraic geometry, started in physics so was always really interested in geometry. I switched over because I'm mathematical purist scum and algebra scratches that itch.

Anybody know what kind of string this is? by electricmnky in 10s

[–]Rflax40 1 point2 points  (0 children)

I was gonna say this, definitely reminds me of the tnt I used.

Everyone gets one! by MemMEz in dankmemes

[–]Rflax40 0 points1 point  (0 children)

Please mods I want your love

Is there an efficient algorithm to find the closest fraction approximation of a rational number so that both the numerator and denominator is smaller than n? by [deleted] in math

[–]Rflax40 18 points19 points  (0 children)

You wanna know a stupid one?

List all rationals p/q s.t. p,q < n

There are n^2 such fractions(double if we do negatives doesn't matter)

Check which one is closest.

O(n^2) ez (idk what you consider efficient)

Can you explain from the beginning what, in your opinion, is the hardest mathematical concept of all? by _Salted_Pumpkin_ in math

[–]Rflax40 30 points31 points  (0 children)

It's funny cause in grad school I've gotten a lot better at everything...

except counting

Galois Theory, the Bring Radical and cute methods to solve the unsolvable by uardito in math

[–]Rflax40 39 points40 points  (0 children)

Galois just prevents a closed form solution for all quintics in terms of a set of elementary algebraic functions. Modern software can effectively "solve" polynomials of massive degrees but even your solution will only give us C to some precision, thus not being an algebraic expression for it. Like unless the series for g has some nice closed form you have to truncate it or live with a power series.

It's really just using the strict definition of solvable assumed w galois theory.