Elliptic functions in elementary analysis (Q2709152)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Elliptic functions in elementary analysis |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Elliptic functions in elementary analysis |
scientific article |
Statements
4 April 2001
0 references
legendre
0 references
0 references
Elliptic functions in elementary analysis (English)
0 references
Along with historical remarks, some elementary properties of the elliptic integrals are mentioned: definitions, series expansions and inversions. Next, the differential equation \(x''+Ax+ Bx^3=0\) is considered, and the solutions are discussed by means of the phase plane. Finally, two classical examples are given: the arc length of the ellipse and the period of the simple pendulum.
0 references
