Prerequisites for Fourier Series/Self-Study?

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What would be the prerequisites for a typical Introduction to Fourier Series taught at a university. Is an introduction to a rigorous treatment of calculus typically expected or not? So far I've learned the standard Calculus 1-2, Multivariable Calculus, Differential Equations, Linear Algebra, and Proofs. Do I have the necessary background to start self studying Fourier Series. Also, what would one recommend for starting to self study Fourier series?