From vectors to tensors
This is a well-written comprehensive vectors to tensors book for students of engineering, applied mathematics and mathematics and mathematical physics. This textbook deals with tensors that are treated as vectors, and its orientation is practical. In addition to standard tensors, it introduces new tensor concepts, such as the rotation of tensors, the transposer tensor, the eigentensors, the permutation tensor structure. The book includes 197 examples and end-of-chapter exercises. A computer package, written Mathematica is available from the web. The book is divided into 5 parts: Basic tensor algebra; Special tensors; Exterior algebras; Tensor over linear spaces with inner product; Classic tensors in geometry and mechanics.
scientific article; zbMATH DE number 2123714