Aspects of Lagrange's Mechanics and their Legacy
Giovanni Gallavotti
TL;DR
This paper explores the historical development and interconnectedness of various mathematical and physical theories, from classical mechanics to modern quantum and relativistic physics.
Contribution
It provides a comprehensive overview of the evolution of Lagrange's mechanics and its influence on contemporary scientific theories.
Findings
Highlights the progression from classical to modern physics theories.
Connects perturbation methods across different physical contexts.
Emphasizes the legacy of Lagrange's mechanics in current research.
Abstract
From the "vibrating string" and "Kepler's equation" theories to relativistic quantum fields, perturbation theory, (divergent) series resummations, KAM theory.
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