Teaching perspectives of the Frobenius coin problem of two denominators
The Teaching of Mathematics, XXVI (2023) no. 2, p. 57
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.
Classification :
97F60, 97D50, D54, F64
Keywords: coin problem, Frobenius number, Diophantine equations, number theory.
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 },
year = {2023},
volume = {XXVI},
number = {2},
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 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 %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
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