Intended for advanced undergraduates in engineering, physics, mathematics, and applied sciences, A Brief on Tensor Analysis can serve as a springboard for studies in continuum mechanics and general relativity. This concise but informal text includes worked-out problems and exercises. It assumes that the reader has a basic knowledge of calculus and linear algebra, as well as a familiarity with fundamental ideas of mechanics and geometry. In this second edition, new exercises have been added and there is a new section on differential geometry which introduces ideas that find application in theories of curved continua (membranes and shells) and in general relativity.