Apr 4, 2018 · The proof is a double induction on both variables, making it an especially rich example. Once this one is done, the associative problem can be done next -- that one is triple induction on …

Apr 28, 2022 · I have looked at the thread Examples of mathematical induction but most if not all of the examples given here I think are too difficult for the audience. Any inputs are welcome and …

Aug 9, 2012 · There are mathematical proofs that have that "wow" factor in being elegant, simplifying one's view of mathematics, lifting one's perception into the light of knowledge, etc. So I'd …

Sep 15, 2016 · Some posts from the past which might be worth looking at in connection with this: Examples of mathematical induction, Good examples of double induction, Examples of "exotic" …

Mar 19, 2015 · However, I am interested in examples of a more mathematical nature (as opposed to linguistic) where the inductive argument is subtly flawed and leads to erroneous conclusions. Note: If …

Apr 2, 2013 · @JoshChen Sometimes it's good to prove some properties of a mathematical object first - if some of them give you an easy proof of nonexistence.

Nov 3, 2014 · There could be several personal, social, philosophical and even political reasons to keep a mathematical discovery as a secret. For example it is completely expected that if some …

I'm pretty new to writing proofs. I've recently been trying to tackle proofs by induction. I'm having a hard time applying my knowledge of how induction works to other types of problems (divisibili...

Apr 1, 2017 · Mathematical Proofs: A Transition to Advanced Mathematics by Chartrand, Polimeni, and Zhang a good grounding in proofs, taking time to developing a variety of proof techniques and set …

1 Look at Richard Hammack's "Book of Proof" for a detailed discussion of proof forms. There are several "proof technique" and such introductory courses (perhaps under discrete mathematics and similar) …