We give a survey of geometric methods used in papers and books of V.I. Arnold and V.V. Kozlov. They are methods of different normal forms, of some polyhedra, of small denominators and of asymptotic expansions.

How to Cite
BRUNO, Alexander. On Some Geometric Methods in Mathematics and Mechanics. Global Journal of Science Frontier Research, [S.l.], dec. 2017. ISSN 2249-4626. Available at: <https://journalofscience.org/index.php/GJSFR/article/view/2128>. Date accessed: 02 july 2022.