Aspects of Lagrange's Mechanics and their Legacy
Mathematical Physics
2013-11-21 v2 History and Overview
math.MP
Chaotic Dynamics
History and Philosophy of Physics
Abstract
From the "vibrating string" and "Kepler's equation" theories to relativistic quantum fields, perturbation theory, (divergent) series resummations, KAM theory.
Keywords
Cite
@article{arxiv.1305.3438,
title = {Aspects of Lagrange's Mechanics and their Legacy},
author = {Giovanni Gallavotti},
journal= {arXiv preprint arXiv:1305.3438},
year = {2013}
}
Comments
extended version of a talk at the "{\it Il segno di Lagrange nella Matematica contemporanea}", Torino, Politecnico, 10 April 2013 Key words: Vibrating string, Quantum fields, Perturbation theory, Divergent series resummation, KAM V.2 corrections, new references and comments, new references, english translations of quotations