Aspects of Lagrange's Mechanics and their Legacy

Abstract

From the "vibrating string" and "Kepler's equation" theories to relativistic quantum fields, perturbation theory, (divergent) series resummations, KAM theory.

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

References in corpus (3)

• Borel summability and Lindstedt series
• Fractional Lindstedt series
• Rigid motions: action-angles, relative cohomology and polynomials with roots on the unit circle