Linear Algebra for Physicists and Engineers: Volume 2

This book isn't really linear algebra. It's mostly extensions and applications of linear algebra. It does some very gentle and readable functional analysis, which is the infinite dimensional version of linear algebra. He also treats systems of differential equations. You see that in lots of books. But this is clearer because it's preceded by a lot of linear algebra.The book introduces integral equations, by extending the ideas from linear algebra.Then the book introduces manifolds and then Lie groups, and elliptic functions.He has a chapter on conic sections which goes much further than usual, and is very clear. Like, he actually proves that a parabola is a section of a cone! And same with the other conic sections. He develops conic sections so he can use them for celestial mechanics in his Classical Mechanics book.There are some applications to physics near the end, like a very explicit treatment of the Coriolis force and Foucault's pendulum. It cleaned up a lot of my confusion.