Designed for a first year graduate course in Mechanics, this text brings together never before collected works on linear vector spaces, on which the author is a world renowned authority. It is primarily concerned with finite dimensional real Euclidean spaces, with Cartesian tensors viewed as linear transformations of such a space into itself, and with applications of these notions, especially in mechanics. The geometric content of the theory and the distinction between matrices and tensors are emphasized, and absolute- and component- notation are both employed. Problems and solutions are included.
Designed for graduate courses in continuum, fluid or solid mechanics, this text collects works on linear vector spaces, focusing on finite dimensional real Euclidean spaces (with Cartesian tensors viewed as linear transformations of such a space into itself) and applications of these notions.
