What do you need to understand the Theory of Relativity?

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If someone has studied calculus, what "instruments" or what fields does one still need to understand the formulas behind the 2 theories of relativity (special and general)? By understand I mean more that the general concept. Thanks in advance.

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Multi-variable, vector and tensor calculus are the basics, differential geometry and Riemann geometry is also important. Besides mathematics, the basic electromagnetism is necessary.