Yes and in the original post I mentioned they are "the minimum requirements" for theoretical students. Though there are different kinds of theoretical students but you know.
The target we are discussing so long are "theoretical students".
For complex analysis and PDE they are used among the...
If we are telling Algebraic structures(Lie groups), Differential geometry, Complex analysis, and PDE. I have seen many physics students able to take all those courses.
In recent days I had an in-depth conversation with a famous researcher who does theoretical physics and is heavily math inclined and he's doing something "both edge-cutting math and edge-cutting physics". He believes that the four most important undergraduate mathematics courses are functional...
What I want to do is that I want to build my special taste. I see concerns between researchers working in math-ph and theoretical physics, and it would be fun if I can communicate with researchers working in those two styles, and me going forth between those two disciplines.
What I mentioned is indeed the courses I have official records of.
I have taught myself electrodynamics(Griffiths) and thermo & stat mech(Schroeder
Classical mechanics(Marion, Goldstein, Landau)
QM(Shankar)
In my 2nd-year I will take smooth manifolds+riemannian geometry (year-long sequence...
The new situation for me is that I am not a 100% pure maths student.
In my plan, if I take one more course, I get the physics and cosmology double minor.
Only if I take two more experimental physics courses(which I prefer not to do but it depends on my future progress), I get a second major in...
I finished my 1st-year physics, took analysis, linear algebra, mathematical logic, classical mechanics, quantum mechanics(I was exempted from intro phy and took some 3rd-year physics courses)
I internal transferred to pure maths. The reason is that the curriculum of the physics programme in our...
I agree with you that students should not be so "calculated" while they should also aim at having a list of subjects to build the solid foundations when they are in undergraduate
If you are talking Wald's level (the most hardcore one). You will need Riemannian geometry. People would also read Wald GR together with John M lee's intro smooth manifolds.
I don't think you need to concern too much if you were not using such a hardcore book. People just learn the maths when...
By PDE. The book written by Walter Alexander Strauss perfect described a typical undergraduate PDE course I have in my mind.
It should at least include:
Laplace equations, waves and diffusions
reflection, boundary problems, Fourier series
The content of the book I mentioned can also be found...
Well Peskin has also included some references on the first course in particle physics. I believe in Peskin
like Thomson M., Griffiths. I'll also take a look on Thomson M. then now I would read three books at the same time. I think it's enough
around the level of the first course on particle physics in undergraduate as I said.
Can be higher, but not too high
I am just looking for a good enough introduction and not sure whether those two are.
I will read those two at the same time but mainly Peskin
Following are not strictly physics questions. But cool questions to discuss.
We need to add dark energy to our cosmological model if we strictly follow GR. This lead to some beliefs that GR is an effective theory.
(1)Do you believe that GR is the fundamental theory? If GR is an effective...