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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

  • Do not worry about functional analysis. That is not the purview of GR. – Cameron Williams Apr 11 '18 at 21:21
  • I'd also suggest Carroll's GR text. He's a very good writer IMO. – Cameron Williams Apr 11 '18 at 21:22
  • Do Carmo Riemannian Geometry for an introduction to differential geometry is one of the standars (at least in my university). I don't know the others you cite. But for tensors I recommend you Introuction to Mathematical physics, of Peter Szekeres. And don't worry about number theory, rings and all that stuff. For understanding the basics of relativity you need vector spaces for tensors and manifolds for differential geometry. Finally, let me suggest you Gravitation, of Milner, Thorne, and Wheeler. In its 1279 pages, it talks about absolutely everything, including the basics of maths. – Dog_69 Apr 11 '18 at 22:07

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