There is a gap between engineering courses in tensor algebra, and the
treatment of linear transformations within classical linear algebra.
This book addresses primarily engineering students with some initial
knowledge of matrix algebra. Thereby, mathematical formalism is applied
as absolutely necessary. The many exercises provided include solutions,
enabling autonomous study. The last chapters address modern developments
in the theory of isotropic and anisotropic tensor functions and their
applications to continuum mechanics and might therefore interest
PhD-students and scientists working in this area.
In recent decades, the absolute notation for tensors has become widely
accepted and is now state-of-the-art for publications in solid and
structural mechanics. This is opposed to a majority of books on tensor
calculus referring to index notation. The latter one complicates the
understanding of the matter especially for readers with initial
knowledge. This is a modern textbook on tensor calculus for engineers in
line with contemporary scientific publications.