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feuxfollets
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So I know there's another thread but I don't want to hijack it, and I'm going to math major as well so I'll be taking another 8-10 or so semesters beyond calculus/linear algebra. I'm interested in doing physics with a theoretical bent.
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)
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?
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
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
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?