What are the prerequisites to study Calculus on Manifolds.

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I'm a bachelor degree math student who is interested in differential geometry and topology and doing my way through it. Recently I discovered the world of Calculus on Manifolds and I wish to know what are the prerequisists to studying it. I know that, besides a lot of Topology, Analysis and Linear Algebra, I need also some of Tensor Algebra (I don't know if it's the correct therm for it) and learning about the Wedge Product, Exterior Derivative and etc. However, I don't really know to where to get started.

I want to know if there is a recomendation to what subjects to studied first and some good references. I apologize if the english isn't proper or it was already been asked before.