I know there are already some questions about this very topic, but my question here is going to be more specific. Are these books the right ones to understand the fundamentals of general relativity? If not, what important topics are not covered by these books?
Functional analyisis (Frigyes Riesz and Béla Sz.-Nagy) Introduction to linear algebra and tensors (M.A. Akivis and V.V. Goldberg) An introduction to differentiable manifolds and Riemmanian geometry (William M.Boothby) Basic algebra (Michel Queysanne) It covers mainly the numbers theory, rings, sets, fields, vector spaces, eigenvalues, hermitian forms and bilinear forms. Some other introductory book to topology and books of calculus (I have only taken calculus i)
general-relativity resource-recommendations education