The Complete Works of Gabrio Piola: Volume II : Commented English Translation

This book presents the second volume of Piola’s original Italian text together with the English-language translation and comments, showing convincingly that Gabrio Piola’s work must still be regarded as a modern theory. Gabrio Piola’s work has had an enormous impact on the development of applied mathematics and continuum mechanics. As such, a committee of scientific experts took it upon themselves to translate his complete works. In a second step, they commented on Piola’s work and compared it to modern theories in mechanics in order to stress Piola’s impact on modern science and prove and confirm that he achieved significant milestones in applied mathematics. Front Matter ....Pages i-xii Introductory remarks about the Volume II of the Complete Works of Gabrio Piola (Francesco dell’Isola, Ugo Andreaus, Antonio Cazzani, Emilio Barchiesi)....Pages 1-22 On the Applications of Principles of Analytical Mechanics by Lagrange to the Principal Problems (Francesco dell’Isola, Marco Laudato, Daria Scerrato)....Pages 23-579 On the Theory of Pendulum (Antonio Cazzani)....Pages 581-665 A Supplement to the Memoir on the Theory of Pendulum (Antonio Cazzani)....Pages 667-727 Reflections on the Units and on the Measures of the Various Physical Quantities (Ugo Andreaus)....Pages 729-845 Lettere di Evasio a Uranio toccanti lo studio delle matematiche (Danilo Capecchi)....Pages 847-931 Hamilton Principle in Piola’s work published in 1825 (Fabio Di Cosmo, Marco Laudato)....Pages 933-949