Calculus of Tensors and Differential Forms is an introductory-level textbook familiarizing students with the tools required for further study on general relativity and research. Sinha covers affine tensors, tensor calculus on manifolds, relative tensors, Lie derivatives, wedge products, differential forms, and Stokes' theorem. A concrete and in-depth treatment of the subject helps to overcome abstract concepts, meaning they do not deter physics and engineering students. This self-contained book requires undergraduate-level calculus of several variables and linear algebra as prerequisite. Fubini's theorem in real analysis, to be used in Stokes' theorem, has been proved earlier than Stokes' theorem so that students don't have to search elsewhere.
Calculus of Tensors and Differential Forms