I've been dealing with well-ording, simple induction and complete induction for about two weeks and studying to prove statements with these principles. It seems not hard in lectures and problem sets, but for assignments... it does take some time and efforts.
Some problems are hard to prove, such as the one about postage using unlimited 4-cents and 5-cents stamps. It uses complete induction with cases to consider. Most problems are practical, but not mathematical. I'm not quite good at practical issues, but I'm trying to think them in an abstract way.
So for now, everything's fine and I'll keep going.
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2 comments:
Sometimes mathematical and practical problems are very close together.
Yes. Practical problems can be modeled to mathematical problems.
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