1. Probably the most difficult part for me was the "new notation" section, especially distinguishing between exponents in the normal integers and numbers in the Z_n ring. Even that wasn't very hard, though; I've seen all of these things before.
2. I really liked the non-example they gave to show why we had to check our definitions of addition and multiplication for modular arithmetic. It goes to show that we really do need to prove everything we do in mathematics.
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