Abstract

We provide some theoretical background for infinite descent principle and its relation to the principle of mathematical induction and the well ordering property. Also, we provide some interesting examples by applying the infinite descent principle as an extremal principle in several situations. At the end we prove several assertions which confirm the understanding that principle is very important for the students when solving various complex problems they are faced with.

Keywords: Infinite descent principle; principle of mathematical induction; well ordering property.

Pages:  67$-$78     

Volume  XVI ,  Issue  2 ,  2013