I have been searching for problem books on advanced topics.
By advanced I am referring to the undergraduate level and above. I am looking for something analogous to the olympiad type problem books found at the high school level. I am hoping to supplement my learning with challenging problems in these topics and I have so far found a few, namely:
- Putnam and Beyond by Razvan Gelca
- Problem-Solving Through Problems by Loren C. Larson
- Linear Algebra Problem Book by Halmos.
But with the exception of Halmos, these books do not cover the topics I am interested in deeply enough, these include:
- Abstract Algebra
- Real Analysis
- Differential Equations
and a few other topics.
Just to reiterate, I am looking for books that entirely consist of difficult problems. Thanks.