Can anyone recommend a good reference for brushing up on quadratic forms?
They keep coming up (quite naturally of course) in the context of differential geometry and I find I am rustier than I remembered. I've looked through a large number of linear algebra books and found mostly short sections that cover the basics: reduction to canonical form and Sylvester's criterion, but nothing that goes much beyond. I've also found others that get quite deep into the issue from a more abstract algebraic point of view, but they seemed like they would require a significant detour from my current studies. Does anyone know any books that provide something in between?
(Something available as a pdf that I can download/buy online would be perfect, but any other reference would help greatly as well).
Thanks in advance