I am self-studying Rudin's Real and Complex Analysis, and for now, my goal is to work through the first two chapters - Abstract Integration and Positive Borel Measures. I am required by my supervisor (I am an undergraduate mathematics major, by the way) to learn from this book - but I find the exposition very terse, and sometimes it takes an hour to figure out the stuff on one page. I know that math demands time and effort, I am not shying away from that, I'm just looking for any course material online (lecture notes, slides, videos, problem sets, etc.) that could effectively supplement my reading of this text, and make my journey somewhat easier.
Could you please help me out by suggesting any courses (in the form of videos, lecture notes/slides, problem sets, etc.) that could supplement my reading and make the job of understanding Rudin easier?
If not, then it would be good to know of any other books that closely follow the content in Rudin but are easier to understand. Anyway, Rudin intended the book to be a text for graduate students - and as an undergraduate student, I guess I could use some help. Thanks a lot!
To summarize the recommendations I've gotten so far:
- Gerald Folland's Real Analysis: Modern Techniques and Their Applications.
- Sheldon Axler's Measure, Integration & Real Analysis.