Tensor analysis is used in engineering and science. This new edition introduces engineers and applied scientists to the tools and techniques of tensor analysis so that they can apply them to practical problems and analysis. In addition, the edition includes extensive material on the application of mechanical stress transformations. Geometry is restricted to Euclidean spacegeometry in which Pythagoras' theorem applies and is based on a well-defined Cartesian coordinate system. For quantities defined in curvilinear coordinate systems such as cylinders, spheres, and parabolas, examples, coordinate sketches, and corresponding calculations are given. In addition, the book contains several worked examples to help the reader master the topics covered in the previous sections. This is the third edition of the published textbook: Tensor Analysis for Engineers. In this edition, we have expanded the content on the application of mechanical stress transformation. We include topics like 2D and 3D stress tensor transformation, Mohr’s circle graphical method, and octahedral shear stress with applications in static failure theories for solid media. We added several worked-out numerical examples related to the above-mentioned topics.