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For questions requesting examples of a certain structure or phenomenon

5 votes
5 answers
3k views

Easy and Hard problems in Mathematics [closed]

There are plenty of such examples in Theoretical Computer Science or Computational Complexity theory. I need some examples in Mathematics. … Lot of examples fall in this category but I am looking for only extreme examples like the ones I stated below. …
8 votes

Excellent uses of induction and recursion

1)Proof of Euler's formula, V-E+F=2, with induction on F (number of faces). 2)Backward induction proof of generalized AM-GM inequality. 3)Proof of Heine-Borel theorem using Transfinite Topological …
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