121 reputation
5
bio website supermath.info
location Virgina USA
age 36
visits member for 2 years
seen Nov 28 at 10:12

I'm interested in mathematics which is used to frame physical theory. I guess that means I'm at least a little interested in just about anything. Currently I'm trying to find a good open question to attack.


Oct
12
comment product solutions for PDEs, physical motivation
I don't think we'll be able to carefully describe the extent to which separation of variables applies mathematically, see the linked work in my earlier comments. It's a deep question. That said, I am still hopeful there is some physical motivation...
Oct
12
comment product solutions for PDEs, physical motivation
But, is this physical motivation? Moreover, are you certain there is not some coordinate system in which some of the problems you list here do not become separable?
Jun
20
comment product solutions for PDEs, physical motivation
@ramanujan_dirac that text is fascinating. However, so far as I see, math. I hold out hope for a more physical answer. Perhaps it's hidden somewhere in ima.umn.edu/~miller/sepofvariablestalk.pdf The problem of really understanding separation of variables in general is much harder than I first suspected.
Jun
7
comment Book for multivariable calculus
susan colley's Vector Calculus text is more at the level you need. Also, my notes: supermath.info/MultivariateCalculus.html are ripe with errors and good ideas.
Jun
4
awarded  Editor
Jun
4
revised product solutions for PDEs, physical motivation
begin not being
Jun
4
asked product solutions for PDEs, physical motivation
Mar
23
comment Why is the Hodge dual so essential?
You might enjoy pages 136-138 of supermath.info/ma430.pdf there I investigate a toy 5-dimensional E and M where the difference between the electric and magnetic field are more pronounced.
Sep
6
awarded  Student
Jun
13
awarded  Teacher
Jun
13
answered In coordinate-free relativity, how do we define a vector?
Dec
11
awarded  Supporter
Dec
11
awarded  Autobiographer