- #1
fourdriver01
- 2
- 0
Hi. I'm an undergraduate student interested in cosmology. Initially, it was astrophysics, and I know it's a large field and I'm generalizing, but I felt a lot of the work was statistical analysis and letting the computer crunch images and letting it do things for you.
I know a lot of knowledge builds on itself, so I've been making a list of areas of knowledge I sort of need to know. Can I get some pointers in the right direction for what I want to do? (Cosmology)
Math
Analysis: At least complex analysis and theory of PDEs
Calculus: At least ODEs/PDEs/tensor calculus
Linear Algebra:
Abstract algebra: Group/Ring/Galois theory, representation theory -> Lie groups / Topology
Physics
Classical mechanics: statics -> action principles -> hamiltonian/lagrangian
At least basic optics: Doppler -> Wave propagation
Statistical / thermodynamics: 3 laws -> Ising model -> Planck's radiation law
Electromag: Maxwell's equations (electrostatics, electrodynamics)
Particle physics:
Quantum mechanics:
General relativity:
Special relativity:
QFT:
I know a lot of it is incomplete and/or incorrect. Any guidance for the natural progression of learning these subjects will be very much appreciated.
Many thanks in advance
I know a lot of knowledge builds on itself, so I've been making a list of areas of knowledge I sort of need to know. Can I get some pointers in the right direction for what I want to do? (Cosmology)
Math
Analysis: At least complex analysis and theory of PDEs
Calculus: At least ODEs/PDEs/tensor calculus
Linear Algebra:
Abstract algebra: Group/Ring/Galois theory, representation theory -> Lie groups / Topology
Physics
Classical mechanics: statics -> action principles -> hamiltonian/lagrangian
At least basic optics: Doppler -> Wave propagation
Statistical / thermodynamics: 3 laws -> Ising model -> Planck's radiation law
Electromag: Maxwell's equations (electrostatics, electrodynamics)
Particle physics:
Quantum mechanics:
General relativity:
Special relativity:
QFT:
I know a lot of it is incomplete and/or incorrect. Any guidance for the natural progression of learning these subjects will be very much appreciated.
Many thanks in advance