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" The complete works of Gabrio Piola. "
Francesco dell'Isola, [and 7 others] ; [translated] by Ugo Andreaus, [and 7 others].
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BL
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| Record Number
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864200
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| Main Entry
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Dell'Isola, Francesco
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| Title & Author
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The complete works of Gabrio Piola. : commented English translation /\ Francesco dell'Isola, [and 7 others] ; [translated] by Ugo Andreaus, [and 7 others].
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| Publication Statement
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Cham, Switzerland :: Springer,, [2019]
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| Series Statement
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Advanced structured materials ;; volume 97
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| Page. NO
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1 online resource
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| ISBN
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3030099822
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: 3319706918
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: 3319706926
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: 9783030099824
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: 9783319706917
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: 9783319706924
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331970690X
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9783319706900
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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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?
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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.
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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.
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| Abstract
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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.
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| Subject
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Piola, Gabrio,1791-1850.
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Piola, Gabrio,1791-1850.
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| Subject
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Mathematical physics.
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Mathematicians-- Italy.
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Mechanics, Analytic.
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Mathematical physics.
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Mathematicians.
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Mechanics, Analytic.
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Italy.
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| Dewey Classification
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510.92
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| LC Classification
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TA405.D45 2019
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| Added Entry
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Andreaus, Ugo
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