- #1

fourdriver01

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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