Reviewer: Gonzalo Torroba from La Pampa, Argentina It's and excellent book where you can see all the power and ellegancy that tensors have in physics. In "Tensors and manifolds..." you study mathematics in a clear and understandable way, knowing it's purpose. Some little points: I think it does not have enough applications about vector calculus (Frenet formulas, scalar potentials, Maxwell equations...).I would have also preffered it to contain more about general tensor theory: pseudotensors, curvilineal coordinates, and also about Riemann spaces.