Teaching perspectives of the Frobenius coin problem of two denominators
The Teaching of Mathematics, XXVI (2023) no. 2, p. 57 .

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

Let $a,b$ be positive, relatively prime, integers. Our goal is to characterize, in an elementary way, all positive integers $c$ that can be expressed as a linear combination of $a,b$ with non-negative integer coefficients and discuss the teaching perspectives of our methods.
DOI : 10.57016/TM-BJZO1296
Classification : 97F60, 97D50, D54, F64
Keywords: coin problem, Frobenius number, Diophantine equations, number theory.
@article{10_57016_TM_BJZO1296,
     author = {Giorgos Kapetanakis and Ioannis Rizos},
     title = {Teaching perspectives of the {Frobenius} coin problem of two denominators},
     journal = {The Teaching of Mathematics},
     pages = {57 },
     publisher = {mathdoc},
     volume = {XXVI},
     number = {2},
     year = {2023},
     doi = {10.57016/TM-BJZO1296},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.57016/TM-BJZO1296/}
}
TY  - JOUR
AU  - Giorgos Kapetanakis
AU  - Ioannis Rizos
TI  - Teaching perspectives of the Frobenius coin problem of two denominators
JO  - The Teaching of Mathematics
PY  - 2023
SP  - 57 
VL  - XXVI
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.57016/TM-BJZO1296/
DO  - 10.57016/TM-BJZO1296
LA  - en
ID  - 10_57016_TM_BJZO1296
ER  - 
%0 Journal Article
%A Giorgos Kapetanakis
%A Ioannis Rizos
%T Teaching perspectives of the Frobenius coin problem of two denominators
%J The Teaching of Mathematics
%D 2023
%P 57 
%V XXVI
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.57016/TM-BJZO1296/
%R 10.57016/TM-BJZO1296
%G en
%F 10_57016_TM_BJZO1296
Giorgos Kapetanakis; Ioannis Rizos. Teaching perspectives of the Frobenius coin problem of two denominators. The Teaching of Mathematics, XXVI (2023) no. 2, p. 57 . doi : 10.57016/TM-BJZO1296. http://geodesic.mathdoc.fr/articles/10.57016/TM-BJZO1296/

Cité par Sources :