A Primer on Elliptic Functions with Applications in Classical Mechanics

Autor/in	Brizard, Alain J.
Titel	A Primer on Elliptic Functions with Applications in Classical Mechanics
Quelle	In: European Journal of Physics, 30 (2009) 4, S.729-750 (22 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0143-0807
DOI	10.1088/0143-0807/30/4/007
Schlagwörter	Mechanics (Physics); Motion; Mathematics; Undergraduate Study; Mathematics Instruction; Computer Software; Computer Uses in Education + Suchen Sie Ihr Suchwort? Mechanik; Bewegungsablauf; Mathematik; Grundstudium; Mathematics lessons; Mathematikunterricht; Computernutzung
Abstract	The Jacobi and Weierstrass elliptic functions used to be part of the standard mathematical arsenal of physics students. They appear as solutions of many important problems in classical mechanics: the motion of a planar pendulum (Jacobi), the motion of a force-free asymmetric top (Jacobi), the motion of a spherical pendulum (Weierstrass) and the motion of a heavy symmetric top with one fixed point (Weierstrass). The planar pendulum can, in fact, be used to highlight an important connection between the Jacobi and Weierstrass elliptic functions. The easy access to mathematical software by physics students suggests that they might reappear as useful mathematical tools in the undergraduate curriculum. (Contains 1 footnote, 2 tables, and 11 figures.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10