Geodesic
A note on infinite descent principle
The Teaching of Mathematics, XVI (2013) no. 2, p. 67 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
Classification : 1MSC97E60 97F60 97K20 2MathEducE65 F65 K25
Keywords: Infinite descent principle, principle of mathematical induction, well ordering property. 
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Miljan Knežević; Đorđe Krtinić. A note on infinite descent principle. The Teaching of Mathematics, XVI (2013) no. 2, p. 67 . http://geodesic.mathdoc.fr/item/TM2_2013_XVI_2_a1/