Extremal Problems - Past and Present
The Teaching of Mathematics, V (2002) no. 2, p. 59
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
The evolution of a phragment of the theory of extremal
problems, the necessary conditions of extremum, is explained. Four problems
of Fermat, Lagrange, Euler and Pontryagin are presented and four classical
examples of Euclid, Kepler, Newton and Bernoulli are solved.
Classification :
00A35 01Axx
Keywords: Extremal problems, problems with and without constraints, Lagrange multipliers, calculus of variation, optimal control, Pontryagin's maximum principle.
Keywords: Extremal problems, problems with and without constraints, Lagrange multipliers, calculus of variation, optimal control, Pontryagin's maximum principle.
@article{TM2_2002_V_2_a0,
author = {Vladimir Tihomirov},
title = {Extremal {Problems} - {Past} and {Present}},
journal = {The Teaching of Mathematics},
pages = {59 },
publisher = {mathdoc},
volume = {V},
number = {2},
year = {2002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TM2_2002_V_2_a0/}
}
Vladimir Tihomirov. Extremal Problems - Past and Present. The Teaching of Mathematics, V (2002) no. 2, p. 59 . http://geodesic.mathdoc.fr/item/TM2_2002_V_2_a0/