- 44

- 0

From what I've gathered, group theory and differential geometry would be useful. My school has a one-year sequence on Abstract Algebra (groups, rings, fields, etc.) and Differential geometry/topology. Should I take both of those? There's also a year on lie algebras but that's burried deep within other grad level stuff.

Is Advanced real analysis useful for a physicist?

Course description is: (2 semesters)

Construction of real numbers, the topology of the real line and the foundations of single variable calculus. Notions of

convergence for sequences of functions. Basic approximation theorems for continuous functions and rigorous treatment of

elementary transcendental functions. The course is intended to teach students how to read and construct rigorous formal proofs

There's also a one-year sequence on Measure theory/probability theory/stochastic processes. I've heard probability is something a lot of grad physicists lack so should I take that?The Arzela-Ascoli theorem. Introduction to the topology of metric spaces with an emphasis on

higher dimensional Euclidean spaces. The contraction mapping principle. Inverse and implicit function theorems. Rigorous

treatment of higher dimensional differential calculus. Introduction to Fourier analysis and asymptotic methods