Both in A treatise on electricity and magnetism (1873, 2 vols.) and A dynamical theory of the electromagnetic field (1864) Maxwell converted in a mathematical language the main content of the Experimental Researchers in Electricity by Michael Faraday. He went beyond the Newtonian approach reaching a new physics mathematics based on the concept of energy instead of that of force. First, he mathematically stressed the three – as he called – Lagrange’s methods and then used Lagrangian formulating through the idea of connected mechanical system described by means of Lagrange’s […] equations of motion of a connected system. In our talk, the first part of the Lagrangian and its specific formulation adopted by Maxwell are discussed.
Faraday M (1839–1855) Experimental Researches in Electricity. 3 vols. Taylor, London
Gillispie CC, Pisano R (2014) Lazare and Sadi Carnot. A Scientific and Filial Relationship. 2nd ed. Springer, Dordrecht
Lagrange JL (1788) Méchanique analitique. Desaint, Paris
Maxwell JC (1873) A Treatise on Electricity and Magnetism. 2 vols. CP, Oxford
Pisano R (2013) On Lagrangian in Maxwell's electromagnetic theory. Scientiatum VI. The University of Federate. Rio de Janeiro Press, Brazil, pp. 44-59
Pisano R, Bussotti P (2020) Historical and Foundational Details on the Method of Infinite Descent: Every Prime Number of the Form 4n+1 is the Sum of Two Squares. Foundations of Science 1:1-32
Pisano R, Marmottini D (2017) Nature of Science Teaching: Notes on the Lagrangian Methods in Maxwell’s Electromagnetic Theory. SISFA Proceedings. Pavia. PUV, pp. 263-268