I want to say something like
I am working through the textbook A.
By which I mean, reading the book (and occasionally rereading certain paragraphs), doing (almost) all of its exercises and thinking about the topics that are taught in that textbook. Essentially using that textbook for self-studying.
I am not sure if that expression "working through" is right or if it sounds somewhat natural to an English speaker.
What are some good expressions to use for the situation I described above?