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The deduction of most of the fundamental laws governing solid and fluid mechanics is due to Lagrange. As already mentioned by several researchers and science historians, analytical mechanics has achieved the highest degree of perfection thanks to Lagrange’s work. The aim of this editorial is to provide a critical review of the second edition of Mécanique Analytique, which has been considered Lagrange’s opera summa, and to illustrate the influence of such a treatise on modern mechanics. Particular emphasis will be given to the current perspectives of Lagrange’s work in relation to the many mathematical and engineering developments that have been inspired by it

Lagrange and his Mécanique Analytique: from Kantian noumenon to present applications