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. 
@article{TM2_2013_XVI_2_a1,
     author = {Miljan Kne\v{z}evi\'c and {\DJ}or{\dj}e Krtini\'c},
     title = {A note on infinite descent principle},
     journal = {The Teaching of Mathematics},
     pages = {67 },
     publisher = {mathdoc},
     volume = {XVI},
     number = {2},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM2_2013_XVI_2_a1/}
}
TY  - JOUR
AU  - Miljan Knežević
AU  - Đorđe Krtinić
TI  - A note on infinite descent principle
JO  - The Teaching of Mathematics
PY  - 2013
SP  - 67 
VL  - XVI
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM2_2013_XVI_2_a1/
LA  - en
ID  - TM2_2013_XVI_2_a1
ER  - 
%0 Journal Article
%A Miljan Knežević
%A Đorđe Krtinić
%T A note on infinite descent principle
%J The Teaching of Mathematics
%D 2013
%P 67 
%V XVI
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM2_2013_XVI_2_a1/
%G en
%F TM2_2013_XVI_2_a1
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/