/sci/ - Science & Math

>what are your favorite problems in geometry?
Currently I'd like to understand Lie-algebroids
>have you written any papers on it?
On geometry, yes, classified certain poisson-geometries in the contexts of certain spacetimes.
>which geometry do you like the most?
Riemannian, I guess. Cartan geometry too, if you allow me to use words I don't really understand all too much.
>what software do you typically use?
Mathematica, but that's only semi-related.

>>7076735
>classified certain poisson-geometries in the contexts of certain spacetimes.

What branch of math is this? Differential geometry? Got any sources on poisson geometry?

>>7076739
Are you afraid to use google?

I like Euclidean geometry, even if it's been done to death. It's just so calming and beautiful.

Inversive is also pretty interesting.

I'd like to get into projective gometry, does anyone have any quality books on it?

>>7076722
http://sciencevsmagic.net/geo/

>>7076722
>This often gets overlooked by /sci/ and mathematicians in general.
>geometry
>overlooker by mathematicians

u serious nigga ?

i think you mean euclidian geometry.

>>7076722
I've been learning elliptic curve theory; shit is cash. I've been wanting to understand Wile's proof of Fermat's Last Theorem since I was in high school, and this is the last piece of the puzzle for me.

I'm taking a class on Construction based Euclidean Geometry. It's comfy. I'm a computer science major, so I don't think I'll take more classes on it.

>>7077196
I loved that in my planar geometry course. I also love that you are required to have good understanding and be able to "see" the solution, it's not something you can do well if you're lacking creativity and unorthodox approaches.

>>7076722
I really like that I don't have geometric proofs of stuff in calculus or linear algebra anymore.

Still a noob but I really liked algebraic curves in affine space, like Cayley Bacarach there... Also, fundamental Group and similar stuff

I'm reading Artin's Geometric Algebra and it's been really fun, I just finished the chapter on projective geometry.

>>7077864
That has nothing to do with real math. Usually the proofs in Euclidean Geometry require much "see" ability, when proofs in "true" math require much more intuition and understanding of the situation. All of this IMHO, obv.

I find planar geometry difficult. Some of those theorems about circles etc are difficult to prove. My instinct is to convert it to algebra, but then it often seems to get bogged down.

http://en.wikipedia.org/wiki/Seven_circles_theorem

http://en.wikipedia.org/wiki/Monge%27s_theorem

Holy moley look at this one!:

http://en.wikipedia.org/wiki/Lester%27s_theorem

I'm currently doing some reading on Tropical geometry. It seems cool but I'm not quite sure what the point is yet.

>>7076722
Friendly reminder that geometry was invented to kill as many people as possible.

Is there any other branch of mathematics so based?

>>7078594
>this much edge
>implying that an area of math is based because of its motivation
>implying geometry wasn't around long before Archimedes

>>7078178
http://arxiv.org/abs/math/0601041

>>7078178
Continuing form (>>7076735), I'm currently reading
http://arxiv.org/pdf/1310.7930v1.pdf
but some might argue it's a stretch to consider it geometry.

>>7078646
God, how is Urs Schreiber so based.

>>7076735
Should I learn Mathematica??

I'm more of a hobbiest than a practitioner and my degrees are in applied, but I think geometry is the coolest, prettiest shit. Alg. Geo. Isn't really my thing though but I defs appreciate it. I'm about to try and work my way through a proof of attiah singer using the heat kernal expansion (not original, paper on arxiv I think). I haven't published anything in geo, and probably won't, but diff geo is an all time love of mine.

>>7076722
Anyone have some interesting books that cover ray tracing, the convex hull and other computational geometry topics?

>>7078955
Seriously guys, I'm thinking about learning it but my university sucks ass and doesn't have it for students. There's mathematica online though...

>>7076722
in vector calc we talked about epicycles for two straight lectures. i couldn't take it seriously.