Topic:General relativity
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General Relativity is an advanced topic within the department of Astrophysics and requires a high level of knowledge in Calculus, Algebra and Physics in general.
Tensors are a critical part of General Relativity and since one cannot get three pages into a General Relativity book without encountering tensors, unless it was written by Brian Greene which does not have any equations, then this is a good place to start.
Currently we have started with "Tensors, Differential Forms and Variational Principles" by David Lovelock and Hanno Rund, which came highly recommended by my good friend Mark Friesel. The link below will go over the problems from each chapter. This particular page will discuss the relevance of tensors to General Relativity.
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Relevant topics: Covariance, Vectors/ Fields, Tensor Calculus, Euler-Lagrange equations, Equivalence principle, Curvature, Riemann Tensor, Gravitational Waves
