I am a sophomore applied mathematics major and would like to teach myself some physics. I can I would like suggestions on a good book on intermediate mechanics. I have looked up the pre-reqs at my college and I have already have taken those classes. I would like a book that has worked out problems, so I can see how to do the problems. I would also like a book with good problems, so I can practice how to do them. Books with a solutions manual is a must, as I need to make sure I am doing the problems right.