This is a subject I struggled with the first time I took it. Ironically, this was the engineering version of it. It wasn't until I took the rigorous, axiomatic version that everything clicked.

Vector spaces, linear transformation, matrix representation, inner product spaces, isometries, least squares, generalised inverse, eigen theory, quadratic forms, norms, numerical methods. The fourth ...

PERMIT me to remark that far from “ignoring” Messrs. Hall and Knight's use of the terms “Elementary” and “Higher” for the two parts of their Algebra, I have called special attention to it. It seems to ...