I'm a third year undergraduate student getting ready to do research over the summer in computational fluid dynamics. My background reading is a text by Chorin & Marsden.
This is my first experience with a graduate school level text, and I'm finding the difference to be quite significant. I've felt quite comfortable with all my undergrad books, and really find the examples, illustrations, and practice problems to be helpful. It seems, however, that graduate level texts leave a lot of that sort of thing out. I have seen exactly zero examples in this text so far, and there is virtually nothing helping me gain any physical intuition.
My two questions are:
How can I make sure I understand the material without having much in terms of practice problems? In the same vein: I find that seeing an example really helps me understand what's going on. How can I achieve the same level of understanding without examples?
Why are graduate level texts so terse? I imagine that part of the answer lies in the fact that higher level material is less focused on computations and more on concepts and proofs. Even still, I can't see how examples and trying to give some physical intuition could possibly hurt.
Any other comments on how to make this process a bit easier are, of course, greatly appreciated.