Three manifestations of Morse theory in two dimensions
The Teaching of Mathematics, XIV (2011) no. 2, p. 137 .

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

In this article we present main notions and ideas of Morse theory in two dimensions, adjusted to school teachers and their talented students. We count numbers of critical points of different types and obtain interesting results about plane curves, mountainous landscapes and planets. We also derive the Euler formula for polyhedra.
Classification : 1AMS97I20 2ZDMI25
Keywords: Critical point, Morse function, polyhedron.
@article{TM2_2011_XIV_2_a7,
     author = {Vladimir N. Gruji\'c},
     title = {Three manifestations of {Morse} theory in two dimensions},
     journal = {The Teaching of Mathematics},
     pages = {137 },
     publisher = {mathdoc},
     volume = {XIV},
     number = {2},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM2_2011_XIV_2_a7/}
}
TY  - JOUR
AU  - Vladimir N. Grujić
TI  - Three manifestations of Morse theory in two dimensions
JO  - The Teaching of Mathematics
PY  - 2011
SP  - 137 
VL  - XIV
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM2_2011_XIV_2_a7/
LA  - en
ID  - TM2_2011_XIV_2_a7
ER  - 
%0 Journal Article
%A Vladimir N. Grujić
%T Three manifestations of Morse theory in two dimensions
%J The Teaching of Mathematics
%D 2011
%P 137 
%V XIV
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM2_2011_XIV_2_a7/
%G en
%F TM2_2011_XIV_2_a7
Vladimir N. Grujić. Three manifestations of Morse theory in two dimensions. The Teaching of Mathematics, XIV (2011) no. 2, p. 137 . http://geodesic.mathdoc.fr/item/TM2_2011_XIV_2_a7/