Searching by Mathematical Subject Classification (MSC):
- Zoom in on very specialized literature.
- Or zoom out to find general expositions.
Example: Find a graduate-level exposition of group theory, offering many exercises on the Sylow Theorems.
- Go to the MSC page to find the MSC 20-01: "Group theory and generalizations: Instructional exposition (textbooks, tutorial papers, etc.)"
- Input "20-01" in MathSciNet under "MSC Primary."
- Input "Sylow and exercises" in MathSciNet under "Anywhere."
- Under "Publication Type," choose "Books" (to get graduate level expositions).
- Click "Search."
- Open and scan results. As of August 2020, there were 16 results.
- Look at Adam Glesser's review of Antonio Machi's book, Groups: An introduction to ideas and methods of the theory of groups. Glessner's review emphasizes the "copious exercises" and that "nearly every section has several well-chosen illustrations of the theory." Glesser mentions "Sylow theorems" (which was a search keyword).
- Search in Springerlink database to find the book (link at book title in previous step).
- Find chapter 3 on "Group Actions and Permutation Groups. Section 3.2 on "Sylow Theorems" does indeed have many illustrations of the theory and many exercises.