Title The complete works of Gabrio Piola. Volume II : commented English translation / Francesco dell'Isola, [and 7 others] ; [translated] by Ugo Andreaus, [and 7 others]

Published Cham, Switzerland : Springer, [2019]

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Description 1 online resource Series Advanced structured materials ; volume 97 Advanced structured materials ; 97. Contents Intro; Preface; Acknowledgements; Contents; Contributors; 1 Introductory remarks about the Volume II of the Complete Works of Gabrio Piola; More on Van Moerbeke's standard in the translation of scientific works; Piola's formulation of the method of asymptotic homogenization; The method of Lagrange multipliers in Piola's works; Hamilton's Principle before Hamilton in Piola's work published in 1825; The beam theory in Piola and its relationship with Hencky discrete models; Discrete approximation of continuous systems or continuous approximation of discrete systems? Some further conclusions about the relevance of Gabrio Piola's contributions to mechanicsReferences; 2 On the Applications of Principles of Analytical Mechanics by Lagrange to the Principal Problems; 3 On the Theory of Pendulum; 4 A Supplement to the Memoir on the Theory of Pendulum; 5 Reflections on the Units and on the Measures of the Various Physical Quantities.; 6 Lettere di Evasio a Uranio toccanti lo studio delle matematiche; Lettere di Evasio a Uranio toccanti lo studio delle matematiche; Lettera I; Letter I; Lettera II; Letter II; Lettera III; Letter III; Lettera IV; Letter IV 7 Hamilton Principle in Piola's work published in 1825Introduction: Piola is a follower of Lagrangian Metaphysics; Statements of Hamilton Principles by Piola; Intermezzo: Piola as a precursor of tensor notation; Also Hamilton is a follower of Lagrangian Metaphysics; Some first conclusions about variational principles, their essential role in invention of new models and, in general, about priority in scientific research; Acknowledgements; References Summary 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 Bibliography Includes bibliographical references Notes Online resource; title from digital title page (viewed on February 15, 2019) Subject Piola, Gabrio, 1791-1850. SUBJECT Piola, Gabrio, 1791-1850 fast Subject Mathematicians -- Italy Mathematical physics. Mechanics, Analytic. Mathematical physics Mathematicians Mechanics, Analytic Italy Form Electronic book Author Dell'Isola, Francesco, editor. Andreaus, Ugo, translator. ISBN 9783319706924 3319706926 9783319706917 3319706918 9783030099824 3030099822

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