Hi everyone, I am new to PF but truly appreciate the kind assistance from all people in this forum. I am very interested in learning Relativity as I really want to know it essence either in its Physics or Mathematics. I have a little basics on integration and some vector calculus. Amazed by the geometrical visualisation of Einstein Field Equations, I want to know what is the meaning of the equations, mathematically. However, I come across a lot of terms which are aliens to me such as Ricci Tensor, Riemann curvature tensor etc. So, I wish that I can start by understanding what is a ricci tensor, what does it tell and what is the mathematics behind the expression especially the conceptual background of the term. I would be thankful if someone can help and guide me in learning this great theory. Thank you for your kind assistance !