Classical Invariant Theory

Except for some new terms ( transvectants, Hessians, Syzygies, special Euclidean groups) and notation ( I haven't figured out exactly what he means by A^(-T) yet, inverse transpose?), it is a well written book that revives the ancient Hilbert invariant theory and translates that into modern terms. I was hooked when I realized the connection to the elliptic invariant. It has this neat section on Gordon's method of digraphs as algebraic invariants. I really think some of this could be made where it could be taught to undergraduates without calculus. For me the treatment of invariants tied a lot of loose ends together.