The Early History of Hamilton-Jacobi Dynamics 1834-1837.

Authors :: Nakane, Michiyo
Fisher, Craig G.
Source :: Centaurus: Journal of the European Society for the History of Science; Oct2002, Vol. 44 Issue 3/4, p161, 67p, 1 Diagram
Publication Year :: 2002
Abstract: Focuses on the history of the Hamilton-Jacobi equation. Analysis of the links between solutions of the ordinary differential equations of a dynamical problem and a complete integral of a fundamental partial differential equation; Information on the characteristic function discussed in the dynamical essays of William Rowan Hamilton; Origin of Hamilton's principle; Description of the three-body equation system that was developed by Carl Gustav Jacobi.

Subjects :: HAMILTON-Jacobi equations
PARTIAL differential equations
DYNAMICS

Language :: English
ISSN :: 00088994
Volume :: 44
Issue :: 3/4
Database :: Complementary Index
Journal :: Centaurus: Journal of the European Society for the History of Science
Publication Type :: Academic Journal
Accession number :: 9284329
Full Text :: https://doi.org/10.1111/j.1600-0498.2002.tb00613.x