Understanding the math of relativity?

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A solid understanding of vector calculus and linear algebra is essential for learning about relativity and Einstein's theories. Special relativity primarily requires knowledge of basic geometry, such as Pythagoras' theorem, to derive concepts like Lorentz contraction. However, general relativity demands a deeper mathematical background, particularly in tensor calculus. Many learners find the transition to tensors challenging, marking a significant hurdle in their studies. Mastery of these mathematical concepts is crucial for a comprehensive understanding of relativity.
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What sort of math background in terms of subject matter would one have to understand in order to learn about relativity and Einstein's works?

I'm sure vector calculus would be one, linear algebra...?
 
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For special relativity not too bad - you just need pythagorus' theorem to derive Lorentz contraction etc.
For general relativity - tensors (I hit my personal maths brick wall after this!)
 

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