As an undergrad with finals coming up, I was wondering if anyone had any comprehensive resources with the "to-know" examples and counterexamples. Specifically, I'm looking for this for
- Galois Theory and basic Algebraic Number Theory (e.g. stuff with Rings of Integers)
- Measure Theory, Integration Theory, and basic L^p Space theory
- If possible, differential geometry at De Carmo's level (curves and surfaces in R^3)