Reddit mentions of Game Physics Pearls

I highly recommend Real-Time Collision Detection.

This next book might not apply to your field directly, but I believe it is a good idea to be at the very least aware of what it discusses, and it is a very excellent book on its subject: The Art of Game Design: A Book of Lenses

I recommend this book as more of a reference than a tutorial; it will allow you to quickly brush up on those areas of math and physics which you will need while writing (or perhaps working with) a physics engine. I don't recommend attempting to learn the subjects through this book alone though. Game Physics

Reading 3D Math primer for Graphics and Game Development is how I learned linear algebra, although I plan on studying the subject from a textbook when I get the opportunity. I keep the book close for easy reference of the math related to 3D rendering (such as the projection and view matrices), although if you get this book you will want to read the errata document on its website. There may be better books to teach this stuff now, so please don't jump on it too hastily.

A couple books I do not own, but plan to correct that as soon as I can:
Game Physics Pearls and Real-Time Shadows

If I think of any others, I will edit this comment.

A quick Google search suggest FEA is the same as Finite Element Method (FEM)? Is that right?

If so, then yes I agree FEM is just awesome. There's a great treatment of it in Game Physics Pearls (of which I was a contributing author, shameless plug!).